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@@ -0,0 +1,1060 @@
+import datetime as dt
+from collections.abc import Sequence
+from typing import Union, Any, overload, TypeVar, Literal, SupportsIndex
+
+from numpy import (
+ ndarray,
+ number,
+ uint64,
+ int_,
+ int64,
+ intp,
+ float16,
+ bool_,
+ floating,
+ complexfloating,
+ object_,
+ generic,
+ _OrderKACF,
+ _OrderACF,
+ _ModeKind,
+ _PartitionKind,
+ _SortKind,
+ _SortSide,
+ _CastingKind,
+)
+from numpy._typing import (
+ DTypeLike,
+ _DTypeLike,
+ ArrayLike,
+ _ArrayLike,
+ NDArray,
+ _ShapeLike,
+ _Shape,
+ _ArrayLikeBool_co,
+ _ArrayLikeUInt_co,
+ _ArrayLikeInt_co,
+ _ArrayLikeFloat_co,
+ _ArrayLikeComplex_co,
+ _ArrayLikeObject_co,
+ _IntLike_co,
+ _BoolLike_co,
+ _ComplexLike_co,
+ _NumberLike_co,
+ _ScalarLike_co,
+)
+
+_SCT = TypeVar("_SCT", bound=generic)
+_SCT_uifcO = TypeVar("_SCT_uifcO", bound=number[Any] | object_)
+_ArrayType = TypeVar("_ArrayType", bound=NDArray[Any])
+
+__all__: list[str]
+
+@overload
+def take(
+ a: _ArrayLike[_SCT],
+ indices: _IntLike_co,
+ axis: None = ...,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> _SCT: ...
+@overload
+def take(
+ a: ArrayLike,
+ indices: _IntLike_co,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> Any: ...
+@overload
+def take(
+ a: _ArrayLike[_SCT],
+ indices: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def take(
+ a: ArrayLike,
+ indices: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> NDArray[Any]: ...
+@overload
+def take(
+ a: ArrayLike,
+ indices: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ out: _ArrayType = ...,
+ mode: _ModeKind = ...,
+) -> _ArrayType: ...
+
+@overload
+def reshape(
+ a: _ArrayLike[_SCT],
+ newshape: _ShapeLike,
+ order: _OrderACF = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def reshape(
+ a: ArrayLike,
+ newshape: _ShapeLike,
+ order: _OrderACF = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def choose(
+ a: _IntLike_co,
+ choices: ArrayLike,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> Any: ...
+@overload
+def choose(
+ a: _ArrayLikeInt_co,
+ choices: _ArrayLike[_SCT],
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def choose(
+ a: _ArrayLikeInt_co,
+ choices: ArrayLike,
+ out: None = ...,
+ mode: _ModeKind = ...,
+) -> NDArray[Any]: ...
+@overload
+def choose(
+ a: _ArrayLikeInt_co,
+ choices: ArrayLike,
+ out: _ArrayType = ...,
+ mode: _ModeKind = ...,
+) -> _ArrayType: ...
+
+@overload
+def repeat(
+ a: _ArrayLike[_SCT],
+ repeats: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def repeat(
+ a: ArrayLike,
+ repeats: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+) -> NDArray[Any]: ...
+
+def put(
+ a: NDArray[Any],
+ ind: _ArrayLikeInt_co,
+ v: ArrayLike,
+ mode: _ModeKind = ...,
+) -> None: ...
+
+@overload
+def swapaxes(
+ a: _ArrayLike[_SCT],
+ axis1: SupportsIndex,
+ axis2: SupportsIndex,
+) -> NDArray[_SCT]: ...
+@overload
+def swapaxes(
+ a: ArrayLike,
+ axis1: SupportsIndex,
+ axis2: SupportsIndex,
+) -> NDArray[Any]: ...
+
+@overload
+def transpose(
+ a: _ArrayLike[_SCT],
+ axes: None | _ShapeLike = ...
+) -> NDArray[_SCT]: ...
+@overload
+def transpose(
+ a: ArrayLike,
+ axes: None | _ShapeLike = ...
+) -> NDArray[Any]: ...
+
+@overload
+def partition(
+ a: _ArrayLike[_SCT],
+ kth: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ kind: _PartitionKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def partition(
+ a: ArrayLike,
+ kth: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ kind: _PartitionKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[Any]: ...
+
+def argpartition(
+ a: ArrayLike,
+ kth: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ kind: _PartitionKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[intp]: ...
+
+@overload
+def sort(
+ a: _ArrayLike[_SCT],
+ axis: None | SupportsIndex = ...,
+ kind: None | _SortKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def sort(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ kind: None | _SortKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[Any]: ...
+
+def argsort(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ kind: None | _SortKind = ...,
+ order: None | str | Sequence[str] = ...,
+) -> NDArray[intp]: ...
+
+@overload
+def argmax(
+ a: ArrayLike,
+ axis: None = ...,
+ out: None = ...,
+ *,
+ keepdims: Literal[False] = ...,
+) -> intp: ...
+@overload
+def argmax(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+ *,
+ keepdims: bool = ...,
+) -> Any: ...
+@overload
+def argmax(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: _ArrayType = ...,
+ *,
+ keepdims: bool = ...,
+) -> _ArrayType: ...
+
+@overload
+def argmin(
+ a: ArrayLike,
+ axis: None = ...,
+ out: None = ...,
+ *,
+ keepdims: Literal[False] = ...,
+) -> intp: ...
+@overload
+def argmin(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+ *,
+ keepdims: bool = ...,
+) -> Any: ...
+@overload
+def argmin(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: _ArrayType = ...,
+ *,
+ keepdims: bool = ...,
+) -> _ArrayType: ...
+
+@overload
+def searchsorted(
+ a: ArrayLike,
+ v: _ScalarLike_co,
+ side: _SortSide = ...,
+ sorter: None | _ArrayLikeInt_co = ..., # 1D int array
+) -> intp: ...
+@overload
+def searchsorted(
+ a: ArrayLike,
+ v: ArrayLike,
+ side: _SortSide = ...,
+ sorter: None | _ArrayLikeInt_co = ..., # 1D int array
+) -> NDArray[intp]: ...
+
+@overload
+def resize(
+ a: _ArrayLike[_SCT],
+ new_shape: _ShapeLike,
+) -> NDArray[_SCT]: ...
+@overload
+def resize(
+ a: ArrayLike,
+ new_shape: _ShapeLike,
+) -> NDArray[Any]: ...
+
+@overload
+def squeeze(
+ a: _SCT,
+ axis: None | _ShapeLike = ...,
+) -> _SCT: ...
+@overload
+def squeeze(
+ a: _ArrayLike[_SCT],
+ axis: None | _ShapeLike = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def squeeze(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+) -> NDArray[Any]: ...
+
+@overload
+def diagonal(
+ a: _ArrayLike[_SCT],
+ offset: SupportsIndex = ...,
+ axis1: SupportsIndex = ...,
+ axis2: SupportsIndex = ..., # >= 2D array
+) -> NDArray[_SCT]: ...
+@overload
+def diagonal(
+ a: ArrayLike,
+ offset: SupportsIndex = ...,
+ axis1: SupportsIndex = ...,
+ axis2: SupportsIndex = ..., # >= 2D array
+) -> NDArray[Any]: ...
+
+@overload
+def trace(
+ a: ArrayLike, # >= 2D array
+ offset: SupportsIndex = ...,
+ axis1: SupportsIndex = ...,
+ axis2: SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+) -> Any: ...
+@overload
+def trace(
+ a: ArrayLike, # >= 2D array
+ offset: SupportsIndex = ...,
+ axis1: SupportsIndex = ...,
+ axis2: SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+) -> _ArrayType: ...
+
+@overload
+def ravel(a: _ArrayLike[_SCT], order: _OrderKACF = ...) -> NDArray[_SCT]: ...
+@overload
+def ravel(a: ArrayLike, order: _OrderKACF = ...) -> NDArray[Any]: ...
+
+def nonzero(a: ArrayLike) -> tuple[NDArray[intp], ...]: ...
+
+def shape(a: ArrayLike) -> _Shape: ...
+
+@overload
+def compress(
+ condition: _ArrayLikeBool_co, # 1D bool array
+ a: _ArrayLike[_SCT],
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def compress(
+ condition: _ArrayLikeBool_co, # 1D bool array
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: None = ...,
+) -> NDArray[Any]: ...
+@overload
+def compress(
+ condition: _ArrayLikeBool_co, # 1D bool array
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ out: _ArrayType = ...,
+) -> _ArrayType: ...
+
+@overload
+def clip(
+ a: _SCT,
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: None = ...,
+ *,
+ dtype: None = ...,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> _SCT: ...
+@overload
+def clip(
+ a: _ScalarLike_co,
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: None = ...,
+ *,
+ dtype: None = ...,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> Any: ...
+@overload
+def clip(
+ a: _ArrayLike[_SCT],
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: None = ...,
+ *,
+ dtype: None = ...,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def clip(
+ a: ArrayLike,
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: None = ...,
+ *,
+ dtype: None = ...,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> NDArray[Any]: ...
+@overload
+def clip(
+ a: ArrayLike,
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: _ArrayType = ...,
+ *,
+ dtype: DTypeLike,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> Any: ...
+@overload
+def clip(
+ a: ArrayLike,
+ a_min: None | ArrayLike,
+ a_max: None | ArrayLike,
+ out: _ArrayType,
+ *,
+ dtype: DTypeLike = ...,
+ where: None | _ArrayLikeBool_co = ...,
+ order: _OrderKACF = ...,
+ subok: bool = ...,
+ signature: str | tuple[None | str, ...] = ...,
+ extobj: list[Any] = ...,
+ casting: _CastingKind = ...,
+) -> _ArrayType: ...
+
+@overload
+def sum(
+ a: _ArrayLike[_SCT],
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def sum(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def sum(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def all(
+ a: ArrayLike,
+ axis: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> bool_: ...
+@overload
+def all(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def all(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def any(
+ a: ArrayLike,
+ axis: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> bool_: ...
+@overload
+def any(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def any(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def cumsum(
+ a: _ArrayLike[_SCT],
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def cumsum(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[Any]: ...
+@overload
+def cumsum(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def cumsum(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+) -> NDArray[Any]: ...
+@overload
+def cumsum(
+ a: ArrayLike,
+ axis: None | SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+) -> _ArrayType: ...
+
+@overload
+def ptp(
+ a: _ArrayLike[_SCT],
+ axis: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+) -> _SCT: ...
+@overload
+def ptp(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+) -> Any: ...
+@overload
+def ptp(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+) -> _ArrayType: ...
+
+@overload
+def amax(
+ a: _ArrayLike[_SCT],
+ axis: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def amax(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def amax(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def amin(
+ a: _ArrayLike[_SCT],
+ axis: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def amin(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def amin(
+ a: ArrayLike,
+ axis: None | _ShapeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+# TODO: `np.prod()``: For object arrays `initial` does not necessarily
+# have to be a numerical scalar.
+# The only requirement is that it is compatible
+# with the `.__mul__()` method(s) of the passed array's elements.
+
+# Note that the same situation holds for all wrappers around
+# `np.ufunc.reduce`, e.g. `np.sum()` (`.__add__()`).
+@overload
+def prod(
+ a: _ArrayLikeBool_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> int_: ...
+@overload
+def prod(
+ a: _ArrayLikeUInt_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> uint64: ...
+@overload
+def prod(
+ a: _ArrayLikeInt_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> int64: ...
+@overload
+def prod(
+ a: _ArrayLikeFloat_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> floating[Any]: ...
+@overload
+def prod(
+ a: _ArrayLikeComplex_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> complexfloating[Any, Any]: ...
+@overload
+def prod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def prod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def prod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None | DTypeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def prod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None | DTypeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ initial: _NumberLike_co = ...,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def cumprod(
+ a: _ArrayLikeBool_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[int_]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeUInt_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[uint64]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeInt_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[int64]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeFloat_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[floating[Any]]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeComplex_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[complexfloating[Any, Any]]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeObject_co,
+ axis: None | SupportsIndex = ...,
+ dtype: None = ...,
+ out: None = ...,
+) -> NDArray[object_]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | SupportsIndex = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+) -> NDArray[_SCT]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+) -> NDArray[Any]: ...
+@overload
+def cumprod(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | SupportsIndex = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+) -> _ArrayType: ...
+
+def ndim(a: ArrayLike) -> int: ...
+
+def size(a: ArrayLike, axis: None | int = ...) -> int: ...
+
+@overload
+def around(
+ a: _BoolLike_co,
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> float16: ...
+@overload
+def around(
+ a: _SCT_uifcO,
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> _SCT_uifcO: ...
+@overload
+def around(
+ a: _ComplexLike_co | object_,
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> Any: ...
+@overload
+def around(
+ a: _ArrayLikeBool_co,
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> NDArray[float16]: ...
+@overload
+def around(
+ a: _ArrayLike[_SCT_uifcO],
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> NDArray[_SCT_uifcO]: ...
+@overload
+def around(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ decimals: SupportsIndex = ...,
+ out: None = ...,
+) -> NDArray[Any]: ...
+@overload
+def around(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ decimals: SupportsIndex = ...,
+ out: _ArrayType = ...,
+) -> _ArrayType: ...
+
+@overload
+def mean(
+ a: _ArrayLikeFloat_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> floating[Any]: ...
+@overload
+def mean(
+ a: _ArrayLikeComplex_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> complexfloating[Any, Any]: ...
+@overload
+def mean(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def mean(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def mean(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def mean(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def std(
+ a: _ArrayLikeComplex_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> floating[Any]: ...
+@overload
+def std(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def std(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def std(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def std(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+@overload
+def var(
+ a: _ArrayLikeComplex_co,
+ axis: None = ...,
+ dtype: None = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> floating[Any]: ...
+@overload
+def var(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: None = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def var(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None = ...,
+ dtype: _DTypeLike[_SCT] = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: Literal[False] = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _SCT: ...
+@overload
+def var(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: None = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> Any: ...
+@overload
+def var(
+ a: _ArrayLikeComplex_co | _ArrayLikeObject_co,
+ axis: None | _ShapeLike = ...,
+ dtype: DTypeLike = ...,
+ out: _ArrayType = ...,
+ ddof: float = ...,
+ keepdims: bool = ...,
+ *,
+ where: _ArrayLikeBool_co = ...,
+) -> _ArrayType: ...
+
+max = amax
+min = amin
+round = around