data-apis · asmeurer · Jan 24, 2022 · Jan 19, 2022
diff --git a/spec/API_specification/signatures/utility_functions.py b/spec/API_specification/signatures/utility_functions.py
@@ -0,0 +1,41 @@
+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.
+
+    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.
+
+    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']
diff --git a/spec/API_specification/utility_functions.md b/spec/API_specification/utility_functions.md
diff --git a/spec/API_specification/utility_functions.rst b/spec/API_specification/utility_functions.rst
@@ -0,0 +1,27 @@
+Utility Functions
+=================
+
+    Array API specification for utility functions.
+
+A conforming implementation of the array API standard must provide and support the following functions adhering to the following conventions.
+
+-   Positional parameters must be `positional-only <https://www.python.org/dev/peps/pep-0570/>`_ parameters. Positional-only parameters have no externally-usable name. When a function accepting positional-only parameters is called, positional arguments are mapped to these parameters based solely on their order.
+-   Optional parameters must be `keyword-only <https://www.python.org/dev/peps/pep-3102/>`_ arguments.
+-   Broadcasting semantics must follow the semantics defined in :ref:`broadcasting`.
+-   Unless stated otherwise, functions must support the data types defined in :ref:`data-types`.
+-   Unless stated otherwise, functions must adhere to the type promotion rules defined in :ref:`type-promotion`.
+-   Unless stated otherwise, floating-point operations must adhere to IEEE 754-2019.
+
+Objects in API
+--------------
+
+.. currentmodule:: signatures.utility_functions
+
+..
+  NOTE: please keep the functions in alphabetical order
+
+.. autosummary::
+   :toctree: generated
+
+   all
+   any