from ._types import Optional, Tuple, Union, array

def all(x: array, /, *, axis: Optional[Union[int, Tuple[int, ...]]] = None, keepdims: bool = False) -> array:
    """
    Tests whether all input array elements evaluate to ``True`` along a specified axis.

    .. note::
       Positive infinity, negative infinity, and NaN must evaluate to ``True``.

    .. note::
       If ``x`` has a complex floating-point data type, elements having a non-zero component (real or imaginary) must evaluate to ``True``.

    .. note::
       If ``x`` is an empty array or the size of the axis (dimension) along which to evaluate elements is zero, the test result must be ``True``.

    Parameters
    ----------
    x: array
        input array.
    axis: Optional[Union[int, Tuple[int, ...]]]
        axis or axes along which to perform a logical AND reduction. By default, a logical AND reduction must be performed over the entire array. If a tuple of integers, logical AND reductions must be performed over multiple axes. A valid ``axis`` must be an integer on the interval ``[-N, N)``, where ``N`` is the rank (number of dimensions) of ``x``. If an ``axis`` is specified as a negative integer, the function must determine the axis along which to perform a reduction by counting backward from the last dimension (where ``-1`` refers to the last dimension). If provided an invalid ``axis``, the function must raise an exception. Default: ``None``.
    keepdims: bool
        If ``True``, the reduced axes (dimensions) must be included in the result as singleton dimensions, and, accordingly, the result must be compatible with the input array (see :ref:`broadcasting`). Otherwise, if ``False``, the reduced axes (dimensions) must not be included in the result. Default: ``False``.

    Returns
    -------
    out: array
        if a logical AND reduction was performed over the entire array, the returned array must be a zero-dimensional array containing the test result; otherwise, the returned array must be a non-zero-dimensional array containing the test results. The returned array must have a data type of ``bool``.
    """

def any(x: array, /, *, axis: Optional[Union[int, Tuple[int, ...]]] = None, keepdims: bool = False) -> array:
    """
    Tests whether any input array element evaluates to ``True`` along a specified axis.

    .. note::
       Positive infinity, negative infinity, and NaN must evaluate to ``True``.

    .. note::
       If ``x`` has a complex floating-point data type, elements having a non-zero component (real or imaginary) must evaluate to ``True``.

    .. note::
       If ``x`` is an empty array or the size of the axis (dimension) along which to evaluate elements is zero, the test result must be ``False``.

    Parameters
    ----------
    x: array
        input array.
    axis: Optional[Union[int, Tuple[int, ...]]]
        axis or axes along which to perform a logical OR reduction. By default, a logical OR reduction must be performed over the entire array. If a tuple of integers, logical OR reductions must be performed over multiple axes. A valid ``axis`` must be an integer on the interval ``[-N, N)``, where ``N`` is the rank (number of dimensions) of ``x``. If an ``axis`` is specified as a negative integer, the function must determine the axis along which to perform a reduction by counting backward from the last dimension (where ``-1`` refers to the last dimension). If provided an invalid ``axis``, the function must raise an exception. Default: ``None``.
    keepdims: bool
        If ``True``, the reduced axes (dimensions) must be included in the result as singleton dimensions, and, accordingly, the result must be compatible with the input array (see :ref:`broadcasting`). Otherwise, if ``False``, the reduced axes (dimensions) must not be included in the result. Default: ``False``.

    Returns
    -------
    out: array
        if a logical OR reduction was performed over the entire array, the returned array must be a zero-dimensional array containing the test result; otherwise, the returned array must be a non-zero-dimensional array containing the test results. The returned array must have a data type of ``bool``.
    """

__all__ = ['all', 'any']