857 lines
		
	
	
		
			23 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
		
		
			
		
	
	
			857 lines
		
	
	
		
			23 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
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								from collections.abc import Callable
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								from typing import Any, Literal, TypeAlias, TypeVar, overload
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								import numpy as np
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								from numpy import dtype, float32, float64, int64
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								from numpy._typing import (
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								    ArrayLike,
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								    DTypeLike,
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								    NDArray,
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								    _ArrayLikeFloat_co,
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								    _ArrayLikeInt_co,
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								    _BoolCodes,
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								    _DoubleCodes,
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								    _DTypeLike,
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								    _DTypeLikeBool,
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								    _Float32Codes,
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								    _Float64Codes,
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								    _FloatLike_co,
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								    _Int8Codes,
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								    _Int16Codes,
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								    _Int32Codes,
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								    _Int64Codes,
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								    _IntPCodes,
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								    _ShapeLike,
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								    _SingleCodes,
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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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								    _UIntPCodes,
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								)
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								from numpy.random import BitGenerator, RandomState, SeedSequence
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								_IntegerT = TypeVar("_IntegerT", bound=np.integer)
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								_DTypeLikeFloat32: TypeAlias = (
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								    dtype[float32]
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								    | _SupportsDType[dtype[float32]]
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								    | type[float32]
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								    | _Float32Codes
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								    | _SingleCodes
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								)
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								_DTypeLikeFloat64: TypeAlias = (
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								    dtype[float64]
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								    | _SupportsDType[dtype[float64]]
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								    | type[float]
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								    | type[float64]
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								    | _Float64Codes
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								    | _DoubleCodes
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								)
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								class Generator:
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								    def __init__(self, bit_generator: BitGenerator) -> None: ...
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								    def __repr__(self) -> str: ...
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								    def __str__(self) -> str: ...
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								    def __getstate__(self) -> None: ...
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								    def __setstate__(self, state: dict[str, Any] | None) -> None: ...
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								    def __reduce__(self) -> tuple[
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								        Callable[[BitGenerator], Generator],
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								        tuple[BitGenerator],
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								        None]: ...
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								    @property
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								    def bit_generator(self) -> BitGenerator: ...
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								    def spawn(self, n_children: int) -> list[Generator]: ...
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								    def bytes(self, length: int) -> bytes: ...
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								    @overload
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								    def standard_normal(  # type: ignore[misc]
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								        self,
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								        size: None = ...,
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								        dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ...,
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								        out: None = ...,
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								    ) -> float: ...
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								    @overload
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								    def standard_normal(  # type: ignore[misc]
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								        self,
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								        size: _ShapeLike = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_normal(  # type: ignore[misc]
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								        self,
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								        *,
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								        out: NDArray[float64] = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_normal(  # type: ignore[misc]
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat32 = ...,
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								        out: NDArray[float32] | None = ...,
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								    ) -> NDArray[float32]: ...
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								    @overload
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								    def standard_normal(  # type: ignore[misc]
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat64 = ...,
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								        out: NDArray[float64] | None = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def permutation(self, x: int, axis: int = ...) -> NDArray[int64]: ...
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								    @overload
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								    def permutation(self, x: ArrayLike, axis: int = ...) -> NDArray[Any]: ...
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								    @overload
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								    def standard_exponential(  # type: ignore[misc]
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								        self,
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								        size: None = ...,
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								        dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ...,
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								        method: Literal["zig", "inv"] = ...,
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								        out: None = ...,
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								    ) -> float: ...
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								    @overload
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								    def standard_exponential(
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								        self,
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								        size: _ShapeLike = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_exponential(
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								        self,
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								        *,
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								        out: NDArray[float64] = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_exponential(
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								        self,
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								        size: _ShapeLike = ...,
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								        *,
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								        method: Literal["zig", "inv"] = ...,
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								        out: NDArray[float64] | None = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_exponential(
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat32 = ...,
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								        method: Literal["zig", "inv"] = ...,
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								        out: NDArray[float32] | None = ...,
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								    ) -> NDArray[float32]: ...
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								    @overload
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								    def standard_exponential(
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat64 = ...,
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								        method: Literal["zig", "inv"] = ...,
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								        out: NDArray[float64] | None = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def random(  # type: ignore[misc]
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								        self,
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								        size: None = ...,
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								        dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ...,
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								        out: None = ...,
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								    ) -> float: ...
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								    @overload
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								    def random(
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								        self,
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								        *,
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								        out: NDArray[float64] = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def random(
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								        self,
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								        size: _ShapeLike = ...,
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								        *,
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								        out: NDArray[float64] | None = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def random(
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat32 = ...,
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								        out: NDArray[float32] | None = ...,
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								    ) -> NDArray[float32]: ...
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								    @overload
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								    def random(
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								        self,
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								        size: _ShapeLike = ...,
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								        dtype: _DTypeLikeFloat64 = ...,
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								        out: NDArray[float64] | None = ...,
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def beta(
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								        self,
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								        a: _FloatLike_co,
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								        b: _FloatLike_co,
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								        size: None = ...,
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								    ) -> 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: _FloatLike_co = ..., size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def exponential(self, scale: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...) -> NDArray[float64]: ...
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								    #
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								    @overload
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								    def integers(
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								        self,
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								        low: int,
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								        high: int | None = None,
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								        size: None = None,
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								        dtype: _DTypeLike[np.int64] | _Int64Codes = ...,
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								        endpoint: bool = False,
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								    ) -> np.int64: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: int,
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								        high: int | None = None,
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								        size: None = None,
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								        *,
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								        dtype: type[bool],
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								        endpoint: bool = False,
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								    ) -> bool: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: int,
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								        high: int | None = None,
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								        size: None = None,
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								        *,
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								        dtype: type[int],
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								        endpoint: bool = False,
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								    ) -> int: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: int,
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								        high: int | None = None,
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								        size: None = None,
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								        *,
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								        dtype: _DTypeLike[np.bool] | _BoolCodes,
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								        endpoint: bool = False,
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								    ) -> np.bool: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: int,
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								        high: int | None = None,
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								        size: None = None,
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								        *,
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								        dtype: _DTypeLike[_IntegerT],
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								        endpoint: bool = False,
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								    ) -> _IntegerT: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = None,
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								        size: _ShapeLike | None = None,
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								        dtype: _DTypeLike[np.int64] | _Int64Codes = ...,
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								        endpoint: bool = False,
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								    ) -> NDArray[np.int64]: ...
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								    @overload
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								    def integers(
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = None,
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								        size: _ShapeLike | None = None,
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								        *,
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								        dtype: _DTypeLikeBool,
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								        endpoint: bool = False,
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						||
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								    ) -> NDArray[np.bool]: ...
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								    @overload
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						||
| 
								 | 
							
								    def integers(
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								        self,
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								 | 
							
								        low: _ArrayLikeInt_co,
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| 
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								        high: _ArrayLikeInt_co | None = None,
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| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _DTypeLike[_IntegerT],
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[_IntegerT]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int8Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.int8: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int8Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.int8]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt8Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.uint8: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt8Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.uint8]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int16Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.int16: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int16Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.int16]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt16Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.uint16: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt16Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.uint16]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int32Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.int32: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _Int32Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.int32]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt32Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.uint32: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt32Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.uint32]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt64Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.uint64: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UInt64Codes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.uint64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _IntPCodes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.intp: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _IntPCodes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.intp]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UIntPCodes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> np.uintp: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        dtype: _UIntPCodes,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[np.uintp]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: int,
							 | 
						||
| 
								 | 
							
								        high: int | None = None,
							 | 
						||
| 
								 | 
							
								        size: None = None,
							 | 
						||
| 
								 | 
							
								        dtype: DTypeLike = ...,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> Any: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = None,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = None,
							 | 
						||
| 
								 | 
							
								        dtype: DTypeLike = ...,
							 | 
						||
| 
								 | 
							
								        endpoint: bool = False,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[Any]: ...
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								    # TODO: Use a TypeVar _T here to get away from Any output?
							 | 
						||
| 
								 | 
							
								    #       Should be int->NDArray[int64], ArrayLike[_T] -> _T | NDArray[Any]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: int,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								        axis: int = ...,
							 | 
						||
| 
								 | 
							
								        shuffle: bool = ...,
							 | 
						||
| 
								 | 
							
								    ) -> int: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: int,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								        axis: int = ...,
							 | 
						||
| 
								 | 
							
								        shuffle: bool = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: ArrayLike,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								        axis: int = ...,
							 | 
						||
| 
								 | 
							
								        shuffle: bool = ...,
							 | 
						||
| 
								 | 
							
								    ) -> Any: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: ArrayLike,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								        axis: int = ...,
							 | 
						||
| 
								 | 
							
								        shuffle: bool = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[Any]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def uniform(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        high: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def uniform(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def normal(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        loc: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: _DTypeLikeFloat32 | _DTypeLikeFloat64 = ...,
							 | 
						||
| 
								 | 
							
								        out: None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> float: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        out: NDArray[float64] = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: _DTypeLikeFloat32 = ...,
							 | 
						||
| 
								 | 
							
								        out: NDArray[float32] | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float32]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: _DTypeLikeFloat64 = ...,
							 | 
						||
| 
								 | 
							
								        out: NDArray[float64] | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def gamma(
							 | 
						||
| 
								 | 
							
								        self, shape: _FloatLike_co, scale: _FloatLike_co = ..., 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: _FloatLike_co, dfden: _FloatLike_co, 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: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        dfden: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        nonc: _FloatLike_co, 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: _FloatLike_co, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def chisquare(
							 | 
						||
| 
								 | 
							
								        self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def noncentral_chisquare(
							 | 
						||
| 
								 | 
							
								        self, df: _FloatLike_co, nonc: _FloatLike_co, 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: _FloatLike_co, 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: _FloatLike_co, kappa: _FloatLike_co, 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: _FloatLike_co, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def pareto(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def weibull(self, a: _FloatLike_co, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def weibull(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def power(self, a: _FloatLike_co, 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: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        sigma: _FloatLike_co = ...,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co = ..., size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def rayleigh(
							 | 
						||
| 
								 | 
							
								        self, scale: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def wald(
							 | 
						||
| 
								 | 
							
								        self, mean: _FloatLike_co, scale: _FloatLike_co, 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: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        mode: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        right: _FloatLike_co,
							 | 
						||
| 
								 | 
							
								        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: _FloatLike_co, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def binomial(
							 | 
						||
| 
								 | 
							
								        self, n: _ArrayLikeInt_co, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def negative_binomial(
							 | 
						||
| 
								 | 
							
								        self, n: _FloatLike_co, p: _FloatLike_co, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def negative_binomial(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        n: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def poisson(self, lam: _FloatLike_co = ..., size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def poisson(
							 | 
						||
| 
								 | 
							
								        self, lam: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def zipf(self, a: _FloatLike_co, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def zipf(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def geometric(self, p: _FloatLike_co, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def geometric(
							 | 
						||
| 
								 | 
							
								        self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @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[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logseries(self, p: _FloatLike_co, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logseries(
							 | 
						||
| 
								 | 
							
								        self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    def multivariate_normal(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        mean: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        cov: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        check_valid: Literal["warn", "raise", "ignore"] = ...,
							 | 
						||
| 
								 | 
							
								        tol: float = ...,
							 | 
						||
| 
								 | 
							
								        *,
							 | 
						||
| 
								 | 
							
								        method: Literal["svd", "eigh", "cholesky"] = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    def multinomial(
							 | 
						||
| 
								 | 
							
								        self, n: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								            pvals: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								            size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    def multivariate_hypergeometric(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        colors: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        nsample: int,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        method: Literal["marginals", "count"] = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    def dirichlet(
							 | 
						||
| 
								 | 
							
								        self, alpha: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    def permuted(
							 | 
						||
| 
								 | 
							
								        self, x: ArrayLike, *, axis: int | None = ..., out: NDArray[Any] | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[Any]: ...
							 | 
						||
| 
								 | 
							
								    def shuffle(self, x: ArrayLike, axis: int = ...) -> None: ...
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								def default_rng(
							 | 
						||
| 
								 | 
							
								    seed: _ArrayLikeInt_co | SeedSequence | BitGenerator | Generator | RandomState | None = ...
							 | 
						||
| 
								 | 
							
								) -> Generator: ...
							 |