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+"""Mixin classes for custom array types that don't inherit from ndarray."""
+from __future__ import division, absolute_import, print_function
+
+import sys
+
+from numpy.core import umath as um
+
+# None of this module should be exposed in top-level NumPy module.
+__all__ = []
+
+
+def _binary_method(ufunc):
+ def func(self, other):
+ try:
+ if other.__array_ufunc__ is None:
+ return NotImplemented
+ except AttributeError:
+ pass
+ return self.__array_ufunc__(ufunc, '__call__', self, other)
+ return func
+
+
+def _reflected_binary_method(ufunc):
+ def func(self, other):
+ try:
+ if other.__array_ufunc__ is None:
+ return NotImplemented
+ except AttributeError:
+ pass
+ return self.__array_ufunc__(ufunc, '__call__', other, self)
+ return func
+
+
+def _inplace_binary_method(ufunc):
+ def func(self, other):
+ result = self.__array_ufunc__(
+ ufunc, '__call__', self, other, out=(self,))
+ if result is NotImplemented:
+ raise TypeError('unsupported operand types for in-place '
+ 'arithmetic: %s and %s'
+ % (type(self).__name__, type(other).__name__))
+ return result
+ return func
+
+
+def _numeric_methods(ufunc):
+ return (_binary_method(ufunc),
+ _reflected_binary_method(ufunc),
+ _inplace_binary_method(ufunc))
+
+
+def _unary_method(ufunc):
+ def func(self):
+ return self.__array_ufunc__(ufunc, '__call__', self)
+ return func
+
+
+class NDArrayOperatorsMixin(object):
+ """Mixin defining all operator special methods using __array_ufunc__.
+
+ This class implements the special methods for almost all of Python's
+ builtin operators defined in the `operator` module, including comparisons
+ (``==``, ``>``, etc.) and arithmetic (``+``, ``*``, ``-``, etc.), by
+ deferring to the ``__array_ufunc__`` method, which subclasses must
+ implement.
+
+ This class does not yet implement the special operators corresponding
+ to ``divmod``, unary ``+`` or ``matmul`` (``@``), because these operation
+ do not yet have corresponding NumPy ufuncs.
+
+ It is useful for writing classes that do not inherit from `numpy.ndarray`,
+ but that should support arithmetic and numpy universal functions like
+ arrays as described in :ref:`A Mechanism for Overriding Ufuncs
+ <neps.ufunc-overrides>`.
+
+ As an trivial example, consider this implementation of an ``ArrayLike``
+ class that simply wraps a NumPy array and ensures that the result of any
+ arithmetic operation is also an ``ArrayLike`` object::
+
+ class ArrayLike(np.lib.mixins.NDArrayOperatorsMixin):
+ def __init__(self, value):
+ self.value = np.asarray(value)
+
+ # One might also consider adding the built-in list type to this
+ # list, to support operations like np.add(array_like, list)
+ _HANDLED_TYPES = (np.ndarray, numbers.Number)
+
+ def __array_ufunc__(self, ufunc, method, *inputs, **kwargs):
+ out = kwargs.get('out', ())
+ for x in inputs + out:
+ # Only support operations with instances of _HANDLED_TYPES
+ # and superclass instances of this type
+ if not (isinstance(x, self._HANDLED_TYPES) or
+ isinstance(self, type(x))):
+ return NotImplemented
+
+ # Defer to the implementation of the ufunc on unwrapped values
+ inputs = tuple(x.value if isinstance(self, type(x)) else x
+ for x in inputs)
+ if out:
+ kwargs['out'] = tuple(
+ x.value if isinstance(self, type(x)) else x
+ for x in out)
+ result = getattr(ufunc, method)(*inputs, **kwargs)
+
+ if type(result) is tuple:
+ # multiple return values
+ return tuple(type(self)(x) for x in result)
+ elif method == 'at':
+ # no return value
+ return None
+ else:
+ # one return value
+ return type(self)(result)
+
+ def __repr__(self):
+ return '%s(%r)' % (type(self).__name__, self.value)
+
+ In interactions between ``ArrayLike`` objects and numbers or numpy arrays,
+ the result is always another ``ArrayLike``:
+
+ >>> x = ArrayLike([1, 2, 3])
+ >>> x - 1
+ ArrayLike(array([0, 1, 2]))
+ >>> 1 - x
+ ArrayLike(array([ 0, -1, -2]))
+ >>> np.arange(3) - x
+ ArrayLike(array([-1, -1, -1]))
+ >>> x - np.arange(3)
+ ArrayLike(array([1, 1, 1]))
+
+ Note that unlike ``numpy.ndarray``, ``ArrayLike`` does not allow operations
+ with arbitrary, unrecognized types. This ensures that interactions with
+ ArrayLike preserve a well-defined casting hierarchy.
+ """
+
+ # comparisons don't have reflected and in-place versions
+ __lt__ = _binary_method(um.less)
+ __le__ = _binary_method(um.less_equal)
+ __eq__ = _binary_method(um.equal)
+ __ne__ = _binary_method(um.not_equal)
+ __gt__ = _binary_method(um.greater)
+ __ge__ = _binary_method(um.greater_equal)
+
+ # numeric methods
+ __add__, __radd__, __iadd__ = _numeric_methods(um.add)
+ __sub__, __rsub__, __isub__ = _numeric_methods(um.subtract)
+ __mul__, __rmul__, __imul__ = _numeric_methods(um.multiply)
+ if sys.version_info.major < 3:
+ # Python 3 uses only __truediv__ and __floordiv__
+ __div__, __rdiv__, __idiv__ = _numeric_methods(um.divide)
+ __truediv__, __rtruediv__, __itruediv__ = _numeric_methods(um.true_divide)
+ __floordiv__, __rfloordiv__, __ifloordiv__ = _numeric_methods(
+ um.floor_divide)
+ __mod__, __rmod__, __imod__ = _numeric_methods(um.mod)
+ # TODO: handle the optional third argument for __pow__?
+ __pow__, __rpow__, __ipow__ = _numeric_methods(um.power)
+ __lshift__, __rlshift__, __ilshift__ = _numeric_methods(um.left_shift)
+ __rshift__, __rrshift__, __irshift__ = _numeric_methods(um.right_shift)
+ __and__, __rand__, __iand__ = _numeric_methods(um.bitwise_and)
+ __xor__, __rxor__, __ixor__ = _numeric_methods(um.bitwise_xor)
+ __or__, __ror__, __ior__ = _numeric_methods(um.bitwise_or)
+
+ # unary methods
+ __neg__ = _unary_method(um.negative)
+ __abs__ = _unary_method(um.absolute)
+ __invert__ = _unary_method(um.invert)