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-rw-r--r--Doc/reference/expressions.rst41
1 files changed, 34 insertions, 7 deletions
diff --git a/Doc/reference/expressions.rst b/Doc/reference/expressions.rst
index 51fa750..6f6b67f 100644
--- a/Doc/reference/expressions.rst
+++ b/Doc/reference/expressions.rst
@@ -1138,6 +1138,7 @@ Raising ``0.0`` to a negative power results in a :exc:`ZeroDivisionError`.
Raising a negative number to a fractional power results in a :class:`complex`
number. (In earlier versions it raised a :exc:`ValueError`.)
+This operation can be customized using the special :meth:`__pow__` method.
.. _unary:
@@ -1159,14 +1160,16 @@ All unary arithmetic and bitwise operations have the same priority:
single: operator; - (minus)
single: - (minus); unary operator
-The unary ``-`` (minus) operator yields the negation of its numeric argument.
+The unary ``-`` (minus) operator yields the negation of its numeric argument; the
+operation can be overridden with the :meth:`__neg__` special method.
.. index::
single: plus
single: operator; + (plus)
single: + (plus); unary operator
-The unary ``+`` (plus) operator yields its numeric argument unchanged.
+The unary ``+`` (plus) operator yields its numeric argument unchanged; the
+operation can be overridden with the :meth:`__pos__` special method.
.. index::
single: inversion
@@ -1174,7 +1177,10 @@ The unary ``+`` (plus) operator yields its numeric argument unchanged.
The unary ``~`` (invert) operator yields the bitwise inversion of its integer
argument. The bitwise inversion of ``x`` is defined as ``-(x+1)``. It only
-applies to integral numbers.
+applies to integral numbers or to custom objects that override the
+:meth:`__invert__` special method.
+
+
.. index:: exception: TypeError
@@ -1210,6 +1216,9 @@ the other must be a sequence. In the former case, the numbers are converted to a
common type and then multiplied together. In the latter case, sequence
repetition is performed; a negative repetition factor yields an empty sequence.
+This operation can be customized using the special :meth:`__mul__` and
+:meth:`__rmul__` methods.
+
.. index::
single: matrix multiplication
operator: @ (at)
@@ -1232,6 +1241,9 @@ integer; the result is that of mathematical division with the 'floor' function
applied to the result. Division by zero raises the :exc:`ZeroDivisionError`
exception.
+This operation can be customized using the special :meth:`__div__` and
+:meth:`__floordiv__` methods.
+
.. index::
single: modulo
operator: % (percent)
@@ -1255,6 +1267,8 @@ also overloaded by string objects to perform old-style string formatting (also
known as interpolation). The syntax for string formatting is described in the
Python Library Reference, section :ref:`old-string-formatting`.
+The *modulo* operation can be customized using the special :meth:`__mod__` method.
+
The floor division operator, the modulo operator, and the :func:`divmod`
function are not defined for complex numbers. Instead, convert to a floating
point number using the :func:`abs` function if appropriate.
@@ -1269,6 +1283,9 @@ must either both be numbers or both be sequences of the same type. In the
former case, the numbers are converted to a common type and then added together.
In the latter case, the sequences are concatenated.
+This operation can be customized using the special :meth:`__add__` and
+:meth:`__radd__` methods.
+
.. index::
single: subtraction
single: operator; - (minus)
@@ -1277,6 +1294,8 @@ In the latter case, the sequences are concatenated.
The ``-`` (subtraction) operator yields the difference of its arguments. The
numeric arguments are first converted to a common type.
+This operation can be customized using the special :meth:`__sub__` method.
+
.. _shifting:
@@ -1296,6 +1315,9 @@ The shifting operations have lower priority than the arithmetic operations:
These operators accept integers as arguments. They shift the first argument to
the left or right by the number of bits given by the second argument.
+This operation can be customized using the special :meth:`__lshift__` and
+:meth:`__rshift__` methods.
+
.. index:: exception: ValueError
A right shift by *n* bits is defined as floor division by ``pow(2,n)``. A left
@@ -1321,7 +1343,8 @@ Each of the three bitwise operations has a different priority level:
operator: & (ampersand)
The ``&`` operator yields the bitwise AND of its arguments, which must be
-integers.
+integers or one of them must be a custom object overriding :meth:`__and__` or
+:meth:`__rand__` special methods.
.. index::
pair: bitwise; xor
@@ -1329,7 +1352,8 @@ integers.
operator: ^ (caret)
The ``^`` operator yields the bitwise XOR (exclusive OR) of its arguments, which
-must be integers.
+must be integers or one of them must be a custom object overriding :meth:`__xor__` or
+:meth:`__rxor__` special methods.
.. index::
pair: bitwise; or
@@ -1337,7 +1361,8 @@ must be integers.
operator: | (vertical bar)
The ``|`` operator yields the bitwise (inclusive) OR of its arguments, which
-must be integers.
+must be integers or one of them must be a custom object overriding :meth:`__or__` or
+:meth:`__ror__` special methods.
.. _comparisons:
@@ -1365,7 +1390,9 @@ in mathematics:
comp_operator: "<" | ">" | "==" | ">=" | "<=" | "!="
: | "is" ["not"] | ["not"] "in"
-Comparisons yield boolean values: ``True`` or ``False``.
+Comparisons yield boolean values: ``True`` or ``False``. Custom
+:dfn:`rich comparison methods` may return non-boolean values. In this case
+Python will call :func:`bool` on such value in boolean contexts.
.. index:: pair: chaining; comparisons