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""" | ||
Copyright (c) 2005-2023, NumPy Developers. | ||
All rights reserved. | ||
Redistribution and use in source and binary forms, with or without | ||
modification, are permitted provided that the following conditions are | ||
met: | ||
* Redistributions of source code must retain the above copyright | ||
notice, this list of conditions and the following disclaimer. | ||
* Redistributions in binary form must reproduce the above | ||
copyright notice, this list of conditions and the following | ||
disclaimer in the documentation and/or other materials provided | ||
with the distribution. | ||
* Neither the name of the NumPy Developers nor the names of any | ||
contributors may be used to endorse or promote products derived | ||
from this software without specific prior written permission. | ||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | ||
""" | ||
from numpy.core import umath as um | ||
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def _disables_array_ufunc(obj): | ||
"""True when __array_ufunc__ is set to None.""" | ||
try: | ||
return obj.__array_ufunc__ is None | ||
except AttributeError: | ||
return False | ||
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def _binary_method(ufunc, name): | ||
"""Implement a forward binary method with a ufunc, e.g., __add__.""" | ||
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def func(self, other): | ||
if _disables_array_ufunc(other): | ||
return NotImplemented | ||
return ufunc(self, other) | ||
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func.__name__ = f"__{name}__" | ||
return func | ||
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def _reflected_binary_method(ufunc, name): | ||
"""Implement a reflected binary method with a ufunc, e.g., __radd__.""" | ||
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def func(self, other): | ||
if _disables_array_ufunc(other): | ||
return NotImplemented | ||
return ufunc(other, self) | ||
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func.__name__ = f"__r{name}__" | ||
return func | ||
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def _inplace_binary_method(ufunc, name): | ||
"""Implement an in-place binary method with a ufunc, e.g., __iadd__.""" | ||
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def func(self, other): | ||
return ufunc(self, other, out=(self,)) | ||
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func.__name__ = f"__i{name}__" | ||
return func | ||
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def _numeric_methods(ufunc, name): | ||
"""Implement forward, reflected and inplace binary methods with a ufunc.""" | ||
return ( | ||
_binary_method(ufunc, name), | ||
_reflected_binary_method(ufunc, name), | ||
_inplace_binary_method(ufunc, name), | ||
) | ||
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def _unary_method(ufunc, name): | ||
"""Implement a unary special method with a ufunc.""" | ||
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def func(self): | ||
return ufunc(self) | ||
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func.__name__ = f"__{name}__" | ||
return func | ||
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class NDArrayOperatorsMixin: | ||
"""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. | ||
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 `A Mechanism for Overriding Ufuncs | ||
<https://numpy.org/neps/nep-0013-ufunc-overrides.html>`_. | ||
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. | ||
# Use ArrayLike instead of type(self) for isinstance to | ||
# allow subclasses that don't override __array_ufunc__ to | ||
# handle ArrayLike objects. | ||
if not isinstance(x, self._HANDLED_TYPES + (ArrayLike,)): | ||
return NotImplemented | ||
# Defer to the implementation of the ufunc on unwrapped values. | ||
inputs = tuple(x.value if isinstance(x, ArrayLike) else x | ||
for x in inputs) | ||
if out: | ||
kwargs['out'] = tuple( | ||
x.value if isinstance(x, ArrayLike) 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. | ||
.. versionadded:: 1.13 | ||
""" | ||
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# Like np.ndarray, this mixin class implements "Option 1" from the ufunc | ||
# overrides NEP. | ||
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# comparisons don't have reflected and in-place versions | ||
__lt__ = _binary_method(um.less, "lt") | ||
__le__ = _binary_method(um.less_equal, "le") | ||
__eq__ = _binary_method(um.equal, "eq") | ||
__ne__ = _binary_method(um.not_equal, "ne") | ||
__gt__ = _binary_method(um.greater, "gt") | ||
__ge__ = _binary_method(um.greater_equal, "ge") | ||
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# numeric methods | ||
__add__, __radd__, __iadd__ = _numeric_methods(um.add, "add") | ||
__sub__, __rsub__, __isub__ = _numeric_methods(um.subtract, "sub") | ||
__mul__, __rmul__, __imul__ = _numeric_methods(um.multiply, "mul") | ||
__matmul__, __rmatmul__, __imatmul__ = _numeric_methods(um.matmul, "matmul") | ||
# Python 3 does not use __div__, __rdiv__, or __idiv__ | ||
__truediv__, __rtruediv__, __itruediv__ = _numeric_methods( | ||
um.true_divide, "truediv" | ||
) | ||
__floordiv__, __rfloordiv__, __ifloordiv__ = _numeric_methods( | ||
um.floor_divide, "floordiv" | ||
) | ||
__mod__, __rmod__, __imod__ = _numeric_methods(um.remainder, "mod") | ||
__divmod__ = _binary_method(um.divmod, "divmod") | ||
__rdivmod__ = _reflected_binary_method(um.divmod, "divmod") | ||
# __idivmod__ does not exist | ||
# TODO: handle the optional third argument for __pow__? | ||
__pow__, __rpow__, __ipow__ = _numeric_methods(um.power, "pow") | ||
__lshift__, __rlshift__, __ilshift__ = _numeric_methods(um.left_shift, "lshift") | ||
__rshift__, __rrshift__, __irshift__ = _numeric_methods(um.right_shift, "rshift") | ||
__and__, __rand__, __iand__ = _numeric_methods(um.bitwise_and, "and") | ||
__xor__, __rxor__, __ixor__ = _numeric_methods(um.bitwise_xor, "xor") | ||
__or__, __ror__, __ior__ = _numeric_methods(um.bitwise_or, "or") | ||
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# unary methods | ||
__neg__ = _unary_method(um.negative, "neg") | ||
__pos__ = _unary_method(um.positive, "pos") | ||
__abs__ = _unary_method(um.absolute, "abs") | ||
__invert__ = _unary_method(um.invert, "invert") |
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