diff --git a/spec/API_specification/array_api/statistical_functions.py b/spec/API_specification/array_api/statistical_functions.py index 6cdbbb338..f54d44070 100644 --- a/spec/API_specification/array_api/statistical_functions.py +++ b/spec/API_specification/array_api/statistical_functions.py @@ -168,21 +168,20 @@ def sum(x: array, /, *, axis: Optional[Union[int, Tuple[int, ...]]] = None, dtyp - If ``N`` is ``0``, the sum is ``0`` (i.e., the empty sum). - For floating-point operands, - - - If ``x_i`` is ``NaN``, the sum is ``NaN`` (i.e., ``NaN`` values propagate). + For both real-valued and complex floating-point operands, special cases must be handled as if the operation is implemented by successive application of :func:`~array_api.add`. Parameters ---------- x: array - input array. Should have a real-valued data type. + input array. Should have a numeric data type. axis: Optional[Union[int, Tuple[int, ...]]] axis or axes along which sums must be computed. By default, the sum must be computed over the entire array. If a tuple of integers, sums must be computed over multiple axes. Default: ``None``. dtype: Optional[dtype] data type of the returned array. If ``None``, - - if the default data type corresponding to the data type "kind" (integer or floating-point) of ``x`` has a smaller range of values than the data type of ``x`` (e.g., ``x`` has data type ``int64`` and the default data type is ``int32``, or ``x`` has data type ``uint64`` and the default data type is ``int64``), the returned array must have the same data type as ``x``. + - if the default data type corresponding to the data type "kind" (integer, real-valued floating-point, or complex floating-point) of ``x`` has a smaller range of values than the data type of ``x`` (e.g., ``x`` has data type ``int64`` and the default data type is ``int32``, or ``x`` has data type ``uint64`` and the default data type is ``int64``), the returned array must have the same data type as ``x``. - if ``x`` has a real-valued floating-point data type, the returned array must have the default real-valued floating-point data type. + - if ``x`` has a complex floating-point data type, the returned array must have the default complex floating-point data type. - if ``x`` has a signed integer data type (e.g., ``int16``), the returned array must have the default integer data type. - if ``x`` has an unsigned integer data type (e.g., ``uint16``), the returned array must have an unsigned integer data type having the same number of bits as the default integer data type (e.g., if the default integer data type is ``int32``, the returned array must have a ``uint32`` data type). pFad - Phonifier reborn

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