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Diffstat (limited to 'Doc')
-rw-r--r-- | Doc/reference/expressions.rst | 31 |
1 files changed, 27 insertions, 4 deletions
diff --git a/Doc/reference/expressions.rst b/Doc/reference/expressions.rst index 2e921f8..4080cf7 100644 --- a/Doc/reference/expressions.rst +++ b/Doc/reference/expressions.rst @@ -1003,6 +1003,12 @@ Comparison of objects of the same type depends on the type: * Numbers are compared arithmetically. +* The values :const:`float('NaN')` and :const:`Decimal('NaN')` are special. + The are identical to themselves, ``x is x`` but are not equal to themselves, + ``x != x``. Additionally, comparing any value to a not-a-number value + will return ``False``. For example, both ``3 < float('NaN')`` and + ``float('NaN') < 3`` will return ``False``. + * Bytes objects are compared lexicographically using the numeric values of their elements. @@ -1024,19 +1030,36 @@ Comparison of objects of the same type depends on the type: value)`` lists compare equal. [#]_ Outcomes other than equality are resolved consistently, but are not otherwise defined. [#]_ +* Sets and frozensets define comparison operators to mean subset and superset + tests. Those relations do not define total orderings (the two sets ``{1,2}`` + and {2,3} are not equal, nor subsets of one another, nor supersets of one + another). Accordingly, sets are not appropriate arguments for functions + which depend on total ordering. For example, :func:`min`, :func:`max`, and + :func:`sorted` produce undefined results given a list of sets as inputs. + * Most other objects of builtin types compare unequal unless they are the same object; the choice whether one object is considered smaller or larger than another one is made arbitrarily but consistently within one execution of a program. +Comparison of objects of the differing types depends on whether either +of the types provide explicit support for the comparison. Most numberic types +can be compared with one another, but comparisons of :class:`float` and +:class:`Decimal` are not supported to avoid the inevitable confusion arising +from representation issues such as ``float('1.1')`` being inexactly represented +and therefore not exactly equal to ``Decimal('1.1')`` which is. When +cross-type comparison is not supported, the comparison method returns +``NotImplemented``. This can create the illusion of non-transitivity between +supported cross-type comparisons and unsupported comparisons. For example, +``Decimal(2) == 2`` and `2 == float(2)`` but ``Decimal(2) != float(2)``. + The operators :keyword:`in` and :keyword:`not in` test for membership. ``x in s`` evaluates to true if *x* is a member of *s*, and false otherwise. ``x not in s`` returns the negation of ``x in s``. All built-in sequences and set types support this as well as dictionary, for which :keyword:`in` tests whether a the -dictionary has a given key. - -For the list and tuple types, ``x in y`` is true if and only if there exists an -index *i* such that ``x == y[i]`` is true. +dictionary has a given key. For container types such as list, tuple, set, +frozenset, dict, or collections.deque, the expression ``x in y`` equivalent to +``any(x is e or x == e for val e in y)``. For the string and bytes types, ``x in y`` is true if and only if *x* is a substring of *y*. An equivalent test is ``y.find(x) != -1``. Empty strings are |