These methods are called to implement the binary arithmetic operations
(``+``, ``-``, ``*``, ``@``, ``/``, ``//``, ``%``, :func:`divmod`,
:func:`pow`, ``**``, ``<<``, ``>>``, ``&``, ``^``, ``|``) with reflected
- (swapped) operands. These functions are only called if the left operand does
- not support the corresponding operation [#]_ and the operands are of different
- types. [#]_ For instance, to evaluate the expression ``x - y``, where *y* is
- an instance of a class that has an :meth:`__rsub__` method,
- ``type(y).__rsub__(y, x)`` is called if ``type(x).__sub__(x, y)`` returns
- :data:`NotImplemented`.
+ (swapped) operands. These functions are only called if the operands
+ are of different types, when the left operand does not support the corresponding
+ operation [#]_, or the right operand's class is derived from the left operand's
+ class. [#]_ For instance, to evaluate the expression ``x - y``, where *y* is
+ an instance of a class that has an :meth:`__rsub__` method, ``type(y).__rsub__(y, x)``
+ is called if ``type(x).__sub__(x, y)`` returns :data:`NotImplemented` or ``type(y)``
+ is a subclass of ``type(x)``. [#]_
.. index:: pair: built-in function; pow
non-reflected method. This behavior allows subclasses to override their
ancestors' operations.
-
.. method:: object.__iadd__(self, other)
object.__isub__(self, other)
object.__imul__(self, other)
method—that will instead have the opposite effect of explicitly
*blocking* such fallback.
-.. [#] For operands of the same type, it is assumed that if the non-reflected
- method -- such as :meth:`~object.__add__` -- fails then the overall
- operation is not
- supported, which is why the reflected method is not called.
+.. [#] For operands of the same type, it is assumed that if the non-reflected method
+ (such as :meth:`~object.__add__`) fails then the operation is not supported, which is why the
+ reflected method is not called.
+
+.. [#] If the right operand's type is a subclass of the left operand's type, the
+ reflected method having precedence allows subclasses to override their ancestors'
+ operations.