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			2704 lines
		
	
	
	
		
			102 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
	
	
| .. XXX: reference/datamodel and this have quite a few overlaps!
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| 
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| 
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| .. _bltin-types:
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| 
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| **************
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| Built-in Types
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| **************
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| 
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| The following sections describe the standard types that are built into the
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| interpreter.
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| 
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| .. index:: pair: built-in; types
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| 
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| The principal built-in types are numerics, sequences, mappings, classes,
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| instances and exceptions.
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| 
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| Some operations are supported by several object types; in particular,
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| practically all objects can be compared, tested for truth value, and converted
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| to a string (with the :func:`repr` function or the slightly different
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| :func:`str` function).  The latter function is implicitly used when an object is
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| written by the :func:`print` function.
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| 
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| 
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| .. _truth:
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| 
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| Truth Value Testing
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| ===================
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| 
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| .. index::
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|    statement: if
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|    statement: while
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|    pair: truth; value
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|    pair: Boolean; operations
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|    single: false
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| 
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| Any object can be tested for truth value, for use in an :keyword:`if` or
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| :keyword:`while` condition or as operand of the Boolean operations below. The
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| following values are considered false:
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| 
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|   .. index:: single: None (Built-in object)
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| 
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| * ``None``
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| 
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|   .. index:: single: False (Built-in object)
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| 
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| * ``False``
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| 
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| * zero of any numeric type, for example, ``0``, ``0.0``, ``0j``.
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| 
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| * any empty sequence, for example, ``''``, ``()``, ``[]``.
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| 
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| * any empty mapping, for example, ``{}``.
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| 
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| * instances of user-defined classes, if the class defines a :meth:`__bool__` or
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|   :meth:`__len__` method, when that method returns the integer zero or
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|   :class:`bool` value ``False``. [#]_
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| 
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| .. index:: single: true
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| 
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| All other values are considered true --- so objects of many types are always
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| true.
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| 
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| .. index::
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|    operator: or
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|    operator: and
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|    single: False
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|    single: True
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| 
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| Operations and built-in functions that have a Boolean result always return ``0``
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| or ``False`` for false and ``1`` or ``True`` for true, unless otherwise stated.
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| (Important exception: the Boolean operations ``or`` and ``and`` always return
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| one of their operands.)
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| 
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| 
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| .. _boolean:
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| 
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| Boolean Operations --- :keyword:`and`, :keyword:`or`, :keyword:`not`
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| ====================================================================
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| 
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| .. index:: pair: Boolean; operations
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| 
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| These are the Boolean operations, ordered by ascending priority:
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| 
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| +-------------+---------------------------------+-------+
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| | Operation   | Result                          | Notes |
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| +=============+=================================+=======+
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| | ``x or y``  | if *x* is false, then *y*, else | \(1)  |
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| |             | *x*                             |       |
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| +-------------+---------------------------------+-------+
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| | ``x and y`` | if *x* is false, then *x*, else | \(2)  |
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| |             | *y*                             |       |
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| +-------------+---------------------------------+-------+
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| | ``not x``   | if *x* is false, then ``True``, | \(3)  |
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| |             | else ``False``                  |       |
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| +-------------+---------------------------------+-------+
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| 
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| .. index::
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|    operator: and
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|    operator: or
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|    operator: not
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| 
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| Notes:
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| 
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| (1)
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|    This is a short-circuit operator, so it only evaluates the second
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|    argument if the first one is :const:`False`.
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| 
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| (2)
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|    This is a short-circuit operator, so it only evaluates the second
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|    argument if the first one is :const:`True`.
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| 
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| (3)
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|    ``not`` has a lower priority than non-Boolean operators, so ``not a == b`` is
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|    interpreted as ``not (a == b)``, and ``a == not b`` is a syntax error.
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| 
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| 
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| .. _stdcomparisons:
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| 
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| Comparisons
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| ===========
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| 
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| .. index::
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|    pair: chaining; comparisons
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|    pair: operator; comparison
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|    operator: ==
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|    operator: <
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|    operator: <=
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|    operator: >
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|    operator: >=
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|    operator: !=
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|    operator: is
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|    operator: is not
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| 
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| There are eight comparison operations in Python.  They all have the same
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| priority (which is higher than that of the Boolean operations).  Comparisons can
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| be chained arbitrarily; for example, ``x < y <= z`` is equivalent to ``x < y and
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| y <= z``, except that *y* is evaluated only once (but in both cases *z* is not
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| evaluated at all when ``x < y`` is found to be false).
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| 
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| This table summarizes the comparison operations:
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| 
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| +------------+-------------------------+
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| | Operation  | Meaning                 |
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| +============+=========================+
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| | ``<``      | strictly less than      |
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| +------------+-------------------------+
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| | ``<=``     | less than or equal      |
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| +------------+-------------------------+
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| | ``>``      | strictly greater than   |
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| +------------+-------------------------+
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| | ``>=``     | greater than or equal   |
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| +------------+-------------------------+
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| | ``==``     | equal                   |
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| +------------+-------------------------+
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| | ``!=``     | not equal               |
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| +------------+-------------------------+
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| | ``is``     | object identity         |
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| +------------+-------------------------+
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| | ``is not`` | negated object identity |
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| +------------+-------------------------+
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| 
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| .. index::
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|    pair: object; numeric
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|    pair: objects; comparing
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| 
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| Objects of different types, except different numeric types, never compare equal.
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| Furthermore, some types (for example, function objects) support only a degenerate
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| notion of comparison where any two objects of that type are unequal.  The ``<``,
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| ``<=``, ``>`` and ``>=`` operators will raise a :exc:`TypeError` exception when
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| comparing a complex number with another built-in numeric type, when the objects
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| are of different types that cannot be compared, or in other cases where there is
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| no defined ordering.
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| 
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| .. index::
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|    single: __eq__() (instance method)
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|    single: __ne__() (instance method)
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|    single: __lt__() (instance method)
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|    single: __le__() (instance method)
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|    single: __gt__() (instance method)
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|    single: __ge__() (instance method)
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| 
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| Non-identical instances of a class normally compare as non-equal unless the
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| class defines the :meth:`__eq__` method.
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| 
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| Instances of a class cannot be ordered with respect to other instances of the
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| same class, or other types of object, unless the class defines enough of the
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| methods :meth:`__lt__`, :meth:`__le__`, :meth:`__gt__`, and :meth:`__ge__` (in
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| general, :meth:`__lt__` and :meth:`__eq__` are sufficient, if you want the
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| conventional meanings of the comparison operators).
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| 
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| The behavior of the :keyword:`is` and :keyword:`is not` operators cannot be
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| customized; also they can be applied to any two objects and never raise an
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| exception.
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| 
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| .. index::
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|    operator: in
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|    operator: not in
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| 
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| Two more operations with the same syntactic priority, ``in`` and ``not in``, are
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| supported only by sequence types (below).
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| 
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| 
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| .. _typesnumeric:
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| 
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| Numeric Types --- :class:`int`, :class:`float`, :class:`complex`
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| ================================================================
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| 
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| .. index::
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|    object: numeric
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|    object: Boolean
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|    object: integer
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|    object: floating point
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|    object: complex number
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|    pair: C; language
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| 
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| There are three distinct numeric types: :dfn:`integers`, :dfn:`floating
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| point numbers`, and :dfn:`complex numbers`.  In addition, Booleans are a
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| subtype of integers.  Integers have unlimited precision.  Floating point
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| numbers are implemented using :ctype:`double` in C---all bets on their
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| precision are off unless you happen to know the machine you are working
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| with. Complex numbers have a real and imaginary part, which are each
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| implemented using :ctype:`double` in C.  To extract these parts from a
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| complex number *z*, use ``z.real`` and ``z.imag``. (The standard library
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| includes additional numeric types, :mod:`fractions` that hold rationals,
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| and :mod:`decimal` that hold floating-point numbers with user-definable
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| precision.)
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| 
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| .. index::
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|    pair: numeric; literals
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|    pair: integer; literals
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|    pair: floating point; literals
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|    pair: complex number; literals
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|    pair: hexadecimal; literals
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|    pair: octal; literals
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|    pair: binary; literals
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| 
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| Numbers are created by numeric literals or as the result of built-in functions
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| and operators.  Unadorned integer literals (including hex, octal and binary
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| numbers) yield integers.  Numeric literals containing a decimal point or an
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| exponent sign yield floating point numbers.  Appending ``'j'`` or ``'J'`` to a
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| numeric literal yields an imaginary number (a complex number with a zero real
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| part) which you can add to an integer or float to get a complex number with real
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| and imaginary parts.
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| 
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| .. index::
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|    single: arithmetic
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|    builtin: int
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|    builtin: float
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|    builtin: complex
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|    operator: +
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|    operator: -
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|    operator: *
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|    operator: /
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|    operator: //
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|    operator: %
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|    operator: **
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| 
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| Python fully supports mixed arithmetic: when a binary arithmetic operator has
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| operands of different numeric types, the operand with the "narrower" type is
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| widened to that of the other, where integer is narrower than floating point,
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| which is narrower than complex.  Comparisons between numbers of mixed type use
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| the same rule. [#]_ The constructors :func:`int`, :func:`float`, and
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| :func:`complex` can be used to produce numbers of a specific type.
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| 
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| All numeric types (except complex) support the following operations, sorted by
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| ascending priority (operations in the same box have the same priority; all
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| numeric operations have a higher priority than comparison operations):
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| 
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| +---------------------+---------------------------------+-------+--------------------+
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| | Operation           | Result                          | Notes | Full documentation |
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| +=====================+=================================+=======+====================+
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| | ``x + y``           | sum of *x* and *y*              |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x - y``           | difference of *x* and *y*       |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x * y``           | product of *x* and *y*          |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x / y``           | quotient of *x* and *y*         |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x // y``          | floored quotient of *x* and     | \(1)  |                    |
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| |                     | *y*                             |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x % y``           | remainder of ``x / y``          | \(2)  |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``-x``              | *x* negated                     |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``+x``              | *x* unchanged                   |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``abs(x)``          | absolute value or magnitude of  |       | :func:`abs`        |
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| |                     | *x*                             |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``int(x)``          | *x* converted to integer        | \(3)  | :func:`int`        |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``float(x)``        | *x* converted to floating point | \(4)  | :func:`float`      |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``complex(re, im)`` | a complex number with real part |       | :func:`complex`    |
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| |                     | *re*, imaginary part *im*.      |       |                    |
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| |                     | *im* defaults to zero.          |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| |  ``c.conjugate()``  | conjugate of the complex number |       |                    |
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| |                     | *c*                             |       |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``divmod(x, y)``    | the pair ``(x // y, x % y)``    | \(2)  | :func:`divmod`     |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``pow(x, y)``       | *x* to the power *y*            | \(5)  | :func:`pow`        |
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| +---------------------+---------------------------------+-------+--------------------+
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| | ``x ** y``          | *x* to the power *y*            | \(5)  |                    |
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| +---------------------+---------------------------------+-------+--------------------+
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| 
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| .. index::
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|    triple: operations on; numeric; types
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|    single: conjugate() (complex number method)
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| 
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| Notes:
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| 
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| (1)
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|    Also referred to as integer division.  The resultant value is a whole
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|    integer, though the result's type is not necessarily int.  The result is
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|    always rounded towards minus infinity: ``1//2`` is ``0``, ``(-1)//2`` is
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|    ``-1``, ``1//(-2)`` is ``-1``, and ``(-1)//(-2)`` is ``0``.
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| 
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| (2)
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|    Not for complex numbers.  Instead convert to floats using :func:`abs` if
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|    appropriate.
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| 
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| (3)
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|    .. index::
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|       module: math
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|       single: floor() (in module math)
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|       single: ceil() (in module math)
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|       single: trunc() (in module math)
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|       pair: numeric; conversions
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|       pair: C; language
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| 
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|    Conversion from floating point to integer may round or truncate
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|    as in C; see functions :func:`floor` and :func:`ceil` in the :mod:`math` module
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|    for well-defined conversions.
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| 
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| (4)
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|    float also accepts the strings "nan" and "inf" with an optional prefix "+"
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|    or "-" for Not a Number (NaN) and positive or negative infinity.
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| 
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| (5)
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|    Python defines ``pow(0, 0)`` and ``0 ** 0`` to be ``1``, as is common for
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|    programming languages.
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| 
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| 
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| 
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| All :class:`numbers.Real` types (:class:`int` and
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| :class:`float`) also include the following operations:
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| 
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| +--------------------+------------------------------------+--------+
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| | Operation          | Result                             | Notes  |
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| +====================+====================================+========+
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| | ``math.trunc(x)``  | *x* truncated to Integral          |        |
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| +--------------------+------------------------------------+--------+
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| | ``round(x[, n])``  | *x* rounded to n digits,           |        |
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| |                    | rounding half to even. If n is     |        |
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| |                    | omitted, it defaults to 0.         |        |
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| +--------------------+------------------------------------+--------+
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| | ``math.floor(x)``  | the greatest integral float <= *x* |        |
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| +--------------------+------------------------------------+--------+
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| | ``math.ceil(x)``   | the least integral float >= *x*    |        |
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| +--------------------+------------------------------------+--------+
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| 
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| For additional numeric operations see the :mod:`math` and :mod:`cmath`
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| modules.
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| 
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| .. XXXJH exceptions: overflow (when? what operations?) zerodivision
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| 
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| 
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| .. _bitstring-ops:
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| 
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| Bit-string Operations on Integer Types
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| --------------------------------------
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| 
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| .. index::
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|    triple: operations on; integer; types
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|    pair: bit-string; operations
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|    pair: shifting; operations
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|    pair: masking; operations
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|    operator: ^
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|    operator: &
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|    operator: <<
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|    operator: >>
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| 
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| Integers support additional operations that make sense only for bit-strings.
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| Negative numbers are treated as their 2's complement value (this assumes a
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| sufficiently large number of bits that no overflow occurs during the operation).
 | |
| 
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| The priorities of the binary bitwise operations are all lower than the numeric
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| operations and higher than the comparisons; the unary operation ``~`` has the
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| same priority as the other unary numeric operations (``+`` and ``-``).
 | |
| 
 | |
| This table lists the bit-string operations sorted in ascending priority
 | |
| (operations in the same box have the same priority):
 | |
| 
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| +------------+--------------------------------+----------+
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| | Operation  | Result                         | Notes    |
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| +============+================================+==========+
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| | ``x | y``  | bitwise :dfn:`or` of *x* and   |          |
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| |            | *y*                            |          |
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| +------------+--------------------------------+----------+
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| | ``x ^ y``  | bitwise :dfn:`exclusive or` of |          |
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| |            | *x* and *y*                    |          |
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| +------------+--------------------------------+----------+
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| | ``x & y``  | bitwise :dfn:`and` of *x* and  |          |
 | |
| |            | *y*                            |          |
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| +------------+--------------------------------+----------+
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| | ``x << n`` | *x* shifted left by *n* bits   | (1)(2)   |
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| +------------+--------------------------------+----------+
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| | ``x >> n`` | *x* shifted right by *n* bits  | (1)(3)   |
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| +------------+--------------------------------+----------+
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| | ``~x``     | the bits of *x* inverted       |          |
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| +------------+--------------------------------+----------+
 | |
| 
 | |
| Notes:
 | |
| 
 | |
| (1)
 | |
|    Negative shift counts are illegal and cause a :exc:`ValueError` to be raised.
 | |
| 
 | |
| (2)
 | |
|    A left shift by *n* bits is equivalent to multiplication by ``pow(2, n)``
 | |
|    without overflow check.
 | |
| 
 | |
| (3)
 | |
|    A right shift by *n* bits is equivalent to division by ``pow(2, n)`` without
 | |
|    overflow check.
 | |
| 
 | |
| 
 | |
| Additional Methods on Integer Types
 | |
| -----------------------------------
 | |
| 
 | |
| .. method:: int.bit_length()
 | |
| 
 | |
|     Return the number of bits necessary to represent an integer in binary,
 | |
|     excluding the sign and leading zeros::
 | |
| 
 | |
|         >>> n = -37
 | |
|         >>> bin(n)
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|         '-0b100101'
 | |
|         >>> n.bit_length()
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|         6
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| 
 | |
|     More precisely, if ``x`` is nonzero, then ``x.bit_length()`` is the
 | |
|     unique positive integer ``k`` such that ``2**(k-1) <= abs(x) < 2**k``.
 | |
|     Equivalently, when ``abs(x)`` is small enough to have a correctly
 | |
|     rounded logarithm, then ``k = 1 + int(log(abs(x), 2))``.
 | |
|     If ``x`` is zero, then ``x.bit_length()`` returns ``0``.
 | |
| 
 | |
|     Equivalent to::
 | |
| 
 | |
|         def bit_length(self):
 | |
|             s = bin(self)       # binary representation:  bin(-37) --> '-0b100101'
 | |
|             s = s.lstrip('-0b') # remove leading zeros and minus sign
 | |
|             return len(s)       # len('100101') --> 6
 | |
| 
 | |
|     .. versionadded:: 3.1
 | |
| 
 | |
|     .. method:: int.to_bytes(length, byteorder, \*, signed=False)
 | |
| 
 | |
|     Return an array of bytes representing an integer.
 | |
| 
 | |
|         >>> (1024).to_bytes(2, byteorder='big')
 | |
|         b'\x04\x00'
 | |
|         >>> (1024).to_bytes(10, byteorder='big')
 | |
|         b'\x00\x00\x00\x00\x00\x00\x00\x00\x04\x00'
 | |
|         >>> (-1024).to_bytes(10, byteorder='big', signed=True)
 | |
|         b'\xff\xff\xff\xff\xff\xff\xff\xff\xfc\x00'
 | |
|         >>> x = 1000
 | |
|         >>> x.to_bytes((x.bit_length() // 8) + 1, byteorder='little')
 | |
|         b'\xe8\x03'
 | |
| 
 | |
|     The integer is represented using *length* bytes.  An :exc:`OverflowError`
 | |
|     is raised if the integer is not representable with the given number of
 | |
|     bytes.
 | |
| 
 | |
|     The *byteorder* argument determines the byte order used to represent the
 | |
|     integer.  If *byteorder* is ``"big"``, the most significant byte is at the
 | |
|     beginning of the byte array.  If *byteorder* is ``"little"``, the most
 | |
|     significant byte is at the end of the byte array.  To request the native
 | |
|     byte order of the host system, use :data:`sys.byteorder` as the byte order
 | |
|     value.
 | |
| 
 | |
|     The *signed* argument determines whether two's complement is used to
 | |
|     represent the integer.  If *signed* is ``False`` and a negative integer is
 | |
|     given, an :exc:`OverflowError` is raised. The default value for *signed*
 | |
|     is ``False``.
 | |
| 
 | |
|     .. versionadded:: 3.2
 | |
| 
 | |
|     .. classmethod:: int.from_bytes(bytes, byteorder, \*, signed=False)
 | |
| 
 | |
|     Return the integer represented by the given array of bytes.
 | |
| 
 | |
|         >>> int.from_bytes(b'\x00\x10', byteorder='big')
 | |
|         16
 | |
|         >>> int.from_bytes(b'\x00\x10', byteorder='little')
 | |
|         4096
 | |
|         >>> int.from_bytes(b'\xfc\x00', byteorder='big', signed=True)
 | |
|         -1024
 | |
|         >>> int.from_bytes(b'\xfc\x00', byteorder='big', signed=False)
 | |
|         64512
 | |
|         >>> int.from_bytes([255, 0, 0], byteorder='big')
 | |
|         16711680
 | |
| 
 | |
|     The argument *bytes* must either support the buffer protocol or be an
 | |
|     iterable producing bytes. :class:`bytes` and :class:`bytearray` are
 | |
|     examples of built-in objects that support the buffer protocol.
 | |
| 
 | |
|     The *byteorder* argument determines the byte order used to represent the
 | |
|     integer.  If *byteorder* is ``"big"``, the most significant byte is at the
 | |
|     beginning of the byte array.  If *byteorder* is ``"little"``, the most
 | |
|     significant byte is at the end of the byte array.  To request the native
 | |
|     byte order of the host system, use :data:`sys.byteorder` as the byte order
 | |
|     value.
 | |
| 
 | |
|     The *signed* argument indicates whether two's complement is used to
 | |
|     represent the integer.
 | |
| 
 | |
|     .. versionadded:: 3.2
 | |
| 
 | |
| 
 | |
| Additional Methods on Float
 | |
| ---------------------------
 | |
| 
 | |
| The float type has some additional methods.
 | |
| 
 | |
| .. method:: float.as_integer_ratio()
 | |
| 
 | |
|     Return a pair of integers whose ratio is exactly equal to the
 | |
|     original float and with a positive denominator.  Raises
 | |
|     :exc:`OverflowError` on infinities and a :exc:`ValueError` on
 | |
|     NaNs.
 | |
| 
 | |
| Two methods support conversion to
 | |
| and from hexadecimal strings.  Since Python's floats are stored
 | |
| internally as binary numbers, converting a float to or from a
 | |
| *decimal* string usually involves a small rounding error.  In
 | |
| contrast, hexadecimal strings allow exact representation and
 | |
| specification of floating-point numbers.  This can be useful when
 | |
| debugging, and in numerical work.
 | |
| 
 | |
| 
 | |
| .. method:: float.hex()
 | |
| 
 | |
|    Return a representation of a floating-point number as a hexadecimal
 | |
|    string.  For finite floating-point numbers, this representation
 | |
|    will always include a leading ``0x`` and a trailing ``p`` and
 | |
|    exponent.
 | |
| 
 | |
| 
 | |
| .. classmethod:: float.fromhex(s)
 | |
| 
 | |
|    Class method to return the float represented by a hexadecimal
 | |
|    string *s*.  The string *s* may have leading and trailing
 | |
|    whitespace.
 | |
| 
 | |
| 
 | |
| Note that :meth:`float.hex` is an instance method, while
 | |
| :meth:`float.fromhex` is a class method.
 | |
| 
 | |
| A hexadecimal string takes the form::
 | |
| 
 | |
|    [sign] ['0x'] integer ['.' fraction] ['p' exponent]
 | |
| 
 | |
| where the optional ``sign`` may by either ``+`` or ``-``, ``integer``
 | |
| and ``fraction`` are strings of hexadecimal digits, and ``exponent``
 | |
| is a decimal integer with an optional leading sign.  Case is not
 | |
| significant, and there must be at least one hexadecimal digit in
 | |
| either the integer or the fraction.  This syntax is similar to the
 | |
| syntax specified in section 6.4.4.2 of the C99 standard, and also to
 | |
| the syntax used in Java 1.5 onwards.  In particular, the output of
 | |
| :meth:`float.hex` is usable as a hexadecimal floating-point literal in
 | |
| C or Java code, and hexadecimal strings produced by C's ``%a`` format
 | |
| character or Java's ``Double.toHexString`` are accepted by
 | |
| :meth:`float.fromhex`.
 | |
| 
 | |
| 
 | |
| Note that the exponent is written in decimal rather than hexadecimal,
 | |
| and that it gives the power of 2 by which to multiply the coefficient.
 | |
| For example, the hexadecimal string ``0x3.a7p10`` represents the
 | |
| floating-point number ``(3 + 10./16 + 7./16**2) * 2.0**10``, or
 | |
| ``3740.0``::
 | |
| 
 | |
|    >>> float.fromhex('0x3.a7p10')
 | |
|    3740.0
 | |
| 
 | |
| 
 | |
| Applying the reverse conversion to ``3740.0`` gives a different
 | |
| hexadecimal string representing the same number::
 | |
| 
 | |
|    >>> float.hex(3740.0)
 | |
|    '0x1.d380000000000p+11'
 | |
| 
 | |
| 
 | |
| .. _numeric-hash:
 | |
| 
 | |
| Hashing of numeric types
 | |
| ------------------------
 | |
| 
 | |
| For numbers ``x`` and ``y``, possibly of different types, it's a requirement
 | |
| that ``hash(x) == hash(y)`` whenever ``x == y`` (see the :meth:`__hash__`
 | |
| method documentation for more details).  For ease of implementation and
 | |
| efficiency across a variety of numeric types (including :class:`int`,
 | |
| :class:`float`, :class:`decimal.Decimal` and :class:`fractions.Fraction`)
 | |
| Python's hash for numeric types is based on a single mathematical function
 | |
| that's defined for any rational number, and hence applies to all instances of
 | |
| :class:`int` and :class:`fraction.Fraction`, and all finite instances of
 | |
| :class:`float` and :class:`decimal.Decimal`.  Essentially, this function is
 | |
| given by reduction modulo ``P`` for a fixed prime ``P``.  The value of ``P`` is
 | |
| made available to Python as the :attr:`modulus` attribute of
 | |
| :data:`sys.hash_info`.
 | |
| 
 | |
| .. impl-detail::
 | |
| 
 | |
|    Currently, the prime used is ``P = 2**31 - 1`` on machines with 32-bit C
 | |
|    longs and ``P = 2**61 - 1`` on machines with 64-bit C longs.
 | |
| 
 | |
| Here are the rules in detail:
 | |
| 
 | |
|  - If ``x = m / n`` is a nonnegative rational number and ``n`` is not divisible
 | |
|    by ``P``, define ``hash(x)`` as ``m * invmod(n, P) % P``, where ``invmod(n,
 | |
|    P)`` gives the inverse of ``n`` modulo ``P``.
 | |
| 
 | |
|  - If ``x = m / n`` is a nonnegative rational number and ``n`` is
 | |
|    divisible by ``P`` (but ``m`` is not) then ``n`` has no inverse
 | |
|    modulo ``P`` and the rule above doesn't apply; in this case define
 | |
|    ``hash(x)`` to be the constant value ``sys.hash_info.inf``.
 | |
| 
 | |
|  - If ``x = m / n`` is a negative rational number define ``hash(x)``
 | |
|    as ``-hash(-x)``.  If the resulting hash is ``-1``, replace it with
 | |
|    ``-2``.
 | |
| 
 | |
|  - The particular values ``sys.hash_info.inf``, ``-sys.hash_info.inf``
 | |
|    and ``sys.hash_info.nan`` are used as hash values for positive
 | |
|    infinity, negative infinity, or nans (respectively).  (All hashable
 | |
|    nans have the same hash value.)
 | |
| 
 | |
|  - For a :class:`complex` number ``z``, the hash values of the real
 | |
|    and imaginary parts are combined by computing ``hash(z.real) +
 | |
|    sys.hash_info.imag * hash(z.imag)``, reduced modulo
 | |
|    ``2**sys.hash_info.width`` so that it lies in
 | |
|    ``range(-2**(sys.hash_info.width - 1), 2**(sys.hash_info.width -
 | |
|    1))``.  Again, if the result is ``-1``, it's replaced with ``-2``.
 | |
| 
 | |
| 
 | |
| To clarify the above rules, here's some example Python code,
 | |
| equivalent to the builtin hash, for computing the hash of a rational
 | |
| number, :class:`float`, or :class:`complex`::
 | |
| 
 | |
| 
 | |
|    import sys, math
 | |
| 
 | |
|    def hash_fraction(m, n):
 | |
|        """Compute the hash of a rational number m / n.
 | |
| 
 | |
|        Assumes m and n are integers, with n positive.
 | |
|        Equivalent to hash(fractions.Fraction(m, n)).
 | |
| 
 | |
|        """
 | |
|        P = sys.hash_info.modulus
 | |
|        # Remove common factors of P.  (Unnecessary if m and n already coprime.)
 | |
|        while m % P == n % P == 0:
 | |
|            m, n = m // P, n // P
 | |
| 
 | |
|        if n % P == 0:
 | |
|            hash_ = sys.hash_info.inf
 | |
|        else:
 | |
|            # Fermat's Little Theorem: pow(n, P-1, P) is 1, so
 | |
|            # pow(n, P-2, P) gives the inverse of n modulo P.
 | |
|            hash_ = (abs(m) % P) * pow(n, P - 2, P) % P
 | |
|        if m < 0:
 | |
|            hash_ = -hash_
 | |
|        if hash_ == -1:
 | |
|            hash_ = -2
 | |
|        return hash_
 | |
| 
 | |
|    def hash_float(x):
 | |
|        """Compute the hash of a float x."""
 | |
| 
 | |
|        if math.isnan(x):
 | |
|            return sys.hash_info.nan
 | |
|        elif math.isinf(x):
 | |
|            return sys.hash_info.inf if x > 0 else -sys.hash_info.inf
 | |
|        else:
 | |
|            return hash_fraction(*x.as_integer_ratio())
 | |
| 
 | |
|    def hash_complex(z):
 | |
|        """Compute the hash of a complex number z."""
 | |
| 
 | |
|        hash_ = hash_float(z.real) + sys.hash_info.imag * hash_float(z.imag)
 | |
|        # do a signed reduction modulo 2**sys.hash_info.width
 | |
|        M = 2**(sys.hash_info.width - 1)
 | |
|        hash_ = (hash_ & (M - 1)) - (hash & M)
 | |
|        if hash_ == -1:
 | |
|            hash_ == -2
 | |
|        return hash_
 | |
| 
 | |
| .. _typeiter:
 | |
| 
 | |
| Iterator Types
 | |
| ==============
 | |
| 
 | |
| .. index::
 | |
|    single: iterator protocol
 | |
|    single: protocol; iterator
 | |
|    single: sequence; iteration
 | |
|    single: container; iteration over
 | |
| 
 | |
| Python supports a concept of iteration over containers.  This is implemented
 | |
| using two distinct methods; these are used to allow user-defined classes to
 | |
| support iteration.  Sequences, described below in more detail, always support
 | |
| the iteration methods.
 | |
| 
 | |
| One method needs to be defined for container objects to provide iteration
 | |
| support:
 | |
| 
 | |
| .. XXX duplicated in reference/datamodel!
 | |
| 
 | |
| .. method:: container.__iter__()
 | |
| 
 | |
|    Return an iterator object.  The object is required to support the iterator
 | |
|    protocol described below.  If a container supports different types of
 | |
|    iteration, additional methods can be provided to specifically request
 | |
|    iterators for those iteration types.  (An example of an object supporting
 | |
|    multiple forms of iteration would be a tree structure which supports both
 | |
|    breadth-first and depth-first traversal.)  This method corresponds to the
 | |
|    :attr:`tp_iter` slot of the type structure for Python objects in the Python/C
 | |
|    API.
 | |
| 
 | |
| The iterator objects themselves are required to support the following two
 | |
| methods, which together form the :dfn:`iterator protocol`:
 | |
| 
 | |
| 
 | |
| .. method:: iterator.__iter__()
 | |
| 
 | |
|    Return the iterator object itself.  This is required to allow both containers
 | |
|    and iterators to be used with the :keyword:`for` and :keyword:`in` statements.
 | |
|    This method corresponds to the :attr:`tp_iter` slot of the type structure for
 | |
|    Python objects in the Python/C API.
 | |
| 
 | |
| 
 | |
| .. method:: iterator.__next__()
 | |
| 
 | |
|    Return the next item from the container.  If there are no further items, raise
 | |
|    the :exc:`StopIteration` exception.  This method corresponds to the
 | |
|    :attr:`tp_iternext` slot of the type structure for Python objects in the
 | |
|    Python/C API.
 | |
| 
 | |
| Python defines several iterator objects to support iteration over general and
 | |
| specific sequence types, dictionaries, and other more specialized forms.  The
 | |
| specific types are not important beyond their implementation of the iterator
 | |
| protocol.
 | |
| 
 | |
| Once an iterator's :meth:`__next__` method raises :exc:`StopIteration`, it must
 | |
| continue to do so on subsequent calls.  Implementations that do not obey this
 | |
| property are deemed broken.
 | |
| 
 | |
| 
 | |
| .. _generator-types:
 | |
| 
 | |
| Generator Types
 | |
| ---------------
 | |
| 
 | |
| Python's :term:`generator`\s provide a convenient way to implement the iterator
 | |
| protocol.  If a container object's :meth:`__iter__` method is implemented as a
 | |
| generator, it will automatically return an iterator object (technically, a
 | |
| generator object) supplying the :meth:`__iter__` and :meth:`__next__` methods.
 | |
| More information about generators can be found in :ref:`the documentation for
 | |
| the yield expression <yieldexpr>`.
 | |
| 
 | |
| 
 | |
| .. _typesseq:
 | |
| 
 | |
| Sequence Types --- :class:`str`, :class:`bytes`, :class:`bytearray`, :class:`list`, :class:`tuple`, :class:`range`
 | |
| ==================================================================================================================
 | |
| 
 | |
| There are six sequence types: strings, byte sequences (:class:`bytes` objects),
 | |
| byte arrays (:class:`bytearray` objects), lists, tuples, and range objects.  For
 | |
| other containers see the built in :class:`dict` and :class:`set` classes, and
 | |
| the :mod:`collections` module.
 | |
| 
 | |
| 
 | |
| .. index::
 | |
|    object: sequence
 | |
|    object: string
 | |
|    object: bytes
 | |
|    object: bytearray
 | |
|    object: tuple
 | |
|    object: list
 | |
|    object: range
 | |
| 
 | |
| Strings contain Unicode characters.  Their literals are written in single or
 | |
| double quotes: ``'xyzzy'``, ``"frobozz"``.  See :ref:`strings` for more about
 | |
| string literals.  In addition to the functionality described here, there are
 | |
| also string-specific methods described in the :ref:`string-methods` section.
 | |
| 
 | |
| Bytes and bytearray objects contain single bytes -- the former is immutable
 | |
| while the latter is a mutable sequence.  Bytes objects can be constructed the
 | |
| constructor, :func:`bytes`, and from literals; use a ``b`` prefix with normal
 | |
| string syntax: ``b'xyzzy'``.  To construct byte arrays, use the
 | |
| :func:`bytearray` function.
 | |
| 
 | |
| .. warning::
 | |
| 
 | |
|    While string objects are sequences of characters (represented by strings of
 | |
|    length 1), bytes and bytearray objects are sequences of *integers* (between 0
 | |
|    and 255), representing the ASCII value of single bytes.  That means that for
 | |
|    a bytes or bytearray object *b*, ``b[0]`` will be an integer, while
 | |
|    ``b[0:1]`` will be a bytes or bytearray object of length 1.  The
 | |
|    representation of bytes objects uses the literal format (``b'...'``) since it
 | |
|    is generally more useful than e.g. ``bytes([50, 19, 100])``.  You can always
 | |
|    convert a bytes object into a list of integers using ``list(b)``.
 | |
| 
 | |
|    Also, while in previous Python versions, byte strings and Unicode strings
 | |
|    could be exchanged for each other rather freely (barring encoding issues),
 | |
|    strings and bytes are now completely separate concepts.  There's no implicit
 | |
|    en-/decoding if you pass an object of the wrong type.  A string always
 | |
|    compares unequal to a bytes or bytearray object.
 | |
| 
 | |
| Lists are constructed with square brackets, separating items with commas: ``[a,
 | |
| b, c]``.  Tuples are constructed by the comma operator (not within square
 | |
| brackets), with or without enclosing parentheses, but an empty tuple must have
 | |
| the enclosing parentheses, such as ``a, b, c`` or ``()``.  A single item tuple
 | |
| must have a trailing comma, such as ``(d,)``.
 | |
| 
 | |
| Objects of type range are created using the :func:`range` function.  They don't
 | |
| support slicing, concatenation or repetition, and using ``in``, ``not in``,
 | |
| :func:`min` or :func:`max` on them is inefficient.
 | |
| 
 | |
| Most sequence types support the following operations.  The ``in`` and ``not in``
 | |
| operations have the same priorities as the comparison operations.  The ``+`` and
 | |
| ``*`` operations have the same priority as the corresponding numeric operations.
 | |
| [#]_ Additional methods are provided for :ref:`typesseq-mutable`.
 | |
| 
 | |
| This table lists the sequence operations sorted in ascending priority
 | |
| (operations in the same box have the same priority).  In the table, *s* and *t*
 | |
| are sequences of the same type; *n*, *i* and *j* are integers:
 | |
| 
 | |
| +------------------+--------------------------------+----------+
 | |
| | Operation        | Result                         | Notes    |
 | |
| +==================+================================+==========+
 | |
| | ``x in s``       | ``True`` if an item of *s* is  | \(1)     |
 | |
| |                  | equal to *x*, else ``False``   |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``x not in s``   | ``False`` if an item of *s* is | \(1)     |
 | |
| |                  | equal to *x*, else ``True``    |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``s + t``        | the concatenation of *s* and   | \(6)     |
 | |
| |                  | *t*                            |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``s * n, n * s`` | *n* shallow copies of *s*      | \(2)     |
 | |
| |                  | concatenated                   |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``s[i]``         | *i*'th item of *s*, origin 0   | \(3)     |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``s[i:j]``       | slice of *s* from *i* to *j*   | (3)(4)   |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``s[i:j:k]``     | slice of *s* from *i* to *j*   | (3)(5)   |
 | |
| |                  | with step *k*                  |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``len(s)``       | length of *s*                  |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``min(s)``       | smallest item of *s*           |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| | ``max(s)``       | largest item of *s*            |          |
 | |
| +------------------+--------------------------------+----------+
 | |
| 
 | |
| Sequence types also support comparisons.  In particular, tuples and lists are
 | |
| compared lexicographically by comparing corresponding elements.  This means that
 | |
| to compare equal, every element must compare equal and the two sequences must be
 | |
| of the same type and have the same length.  (For full details see
 | |
| :ref:`comparisons` in the language reference.)
 | |
| 
 | |
| .. index::
 | |
|    triple: operations on; sequence; types
 | |
|    builtin: len
 | |
|    builtin: min
 | |
|    builtin: max
 | |
|    pair: concatenation; operation
 | |
|    pair: repetition; operation
 | |
|    pair: subscript; operation
 | |
|    pair: slice; operation
 | |
|    operator: in
 | |
|    operator: not in
 | |
| 
 | |
| Notes:
 | |
| 
 | |
| (1)
 | |
|    When *s* is a string object, the ``in`` and ``not in`` operations act like a
 | |
|    substring test.
 | |
| 
 | |
| (2)
 | |
|    Values of *n* less than ``0`` are treated as ``0`` (which yields an empty
 | |
|    sequence of the same type as *s*).  Note also that the copies are shallow;
 | |
|    nested structures are not copied.  This often haunts new Python programmers;
 | |
|    consider:
 | |
| 
 | |
|       >>> lists = [[]] * 3
 | |
|       >>> lists
 | |
|       [[], [], []]
 | |
|       >>> lists[0].append(3)
 | |
|       >>> lists
 | |
|       [[3], [3], [3]]
 | |
| 
 | |
|    What has happened is that ``[[]]`` is a one-element list containing an empty
 | |
|    list, so all three elements of ``[[]] * 3`` are (pointers to) this single empty
 | |
|    list.  Modifying any of the elements of ``lists`` modifies this single list.
 | |
|    You can create a list of different lists this way:
 | |
| 
 | |
|       >>> lists = [[] for i in range(3)]
 | |
|       >>> lists[0].append(3)
 | |
|       >>> lists[1].append(5)
 | |
|       >>> lists[2].append(7)
 | |
|       >>> lists
 | |
|       [[3], [5], [7]]
 | |
| 
 | |
| (3)
 | |
|    If *i* or *j* is negative, the index is relative to the end of the string:
 | |
|    ``len(s) + i`` or ``len(s) + j`` is substituted.  But note that ``-0`` is
 | |
|    still ``0``.
 | |
| 
 | |
| (4)
 | |
|    The slice of *s* from *i* to *j* is defined as the sequence of items with index
 | |
|    *k* such that ``i <= k < j``.  If *i* or *j* is greater than ``len(s)``, use
 | |
|    ``len(s)``.  If *i* is omitted or ``None``, use ``0``.  If *j* is omitted or
 | |
|    ``None``, use ``len(s)``.  If *i* is greater than or equal to *j*, the slice is
 | |
|    empty.
 | |
| 
 | |
| (5)
 | |
|    The slice of *s* from *i* to *j* with step *k* is defined as the sequence of
 | |
|    items with index  ``x = i + n*k`` such that ``0 <= n < (j-i)/k``.  In other words,
 | |
|    the indices are ``i``, ``i+k``, ``i+2*k``, ``i+3*k`` and so on, stopping when
 | |
|    *j* is reached (but never including *j*).  If *i* or *j* is greater than
 | |
|    ``len(s)``, use ``len(s)``.  If *i* or *j* are omitted or ``None``, they become
 | |
|    "end" values (which end depends on the sign of *k*).  Note, *k* cannot be zero.
 | |
|    If *k* is ``None``, it is treated like ``1``.
 | |
| 
 | |
| (6)
 | |
|    .. impl-detail::
 | |
| 
 | |
|       If *s* and *t* are both strings, some Python implementations such as
 | |
|       CPython can usually perform an in-place optimization for assignments of
 | |
|       the form ``s = s + t`` or ``s += t``.  When applicable, this optimization
 | |
|       makes quadratic run-time much less likely.  This optimization is both
 | |
|       version and implementation dependent.  For performance sensitive code, it
 | |
|       is preferable to use the :meth:`str.join` method which assures consistent
 | |
|       linear concatenation performance across versions and implementations.
 | |
| 
 | |
| 
 | |
| .. _string-methods:
 | |
| 
 | |
| String Methods
 | |
| --------------
 | |
| 
 | |
| .. index:: pair: string; methods
 | |
| 
 | |
| String objects support the methods listed below.
 | |
| 
 | |
| In addition, Python's strings support the sequence type methods described in the
 | |
| :ref:`typesseq` section. To output formatted strings, see the
 | |
| :ref:`string-formatting` section. Also, see the :mod:`re` module for string
 | |
| functions based on regular expressions.
 | |
| 
 | |
| .. method:: str.capitalize()
 | |
| 
 | |
|    Return a copy of the string with its first character capitalized and the
 | |
|    rest lowercased.
 | |
| 
 | |
| 
 | |
| .. method:: str.center(width[, fillchar])
 | |
| 
 | |
|    Return centered in a string of length *width*. Padding is done using the
 | |
|    specified *fillchar* (default is a space).
 | |
| 
 | |
| 
 | |
| .. method:: str.count(sub[, start[, end]])
 | |
| 
 | |
|    Return the number of non-overlapping occurrences of substring *sub* in the
 | |
|    range [*start*, *end*].  Optional arguments *start* and *end* are
 | |
|    interpreted as in slice notation.
 | |
| 
 | |
| 
 | |
| .. method:: str.encode(encoding=sys.getdefaultencoding(), errors="strict")
 | |
| 
 | |
|    Return an encoded version of the string as a bytes object.  Default encoding
 | |
|    is the current default string encoding.  *errors* may be given to set a
 | |
|    different error handling scheme.  The default for *errors* is ``'strict'``,
 | |
|    meaning that encoding errors raise a :exc:`UnicodeError`.  Other possible
 | |
|    values are ``'ignore'``, ``'replace'``, ``'xmlcharrefreplace'``,
 | |
|    ``'backslashreplace'`` and any other name registered via
 | |
|    :func:`codecs.register_error`, see section :ref:`codec-base-classes`. For a
 | |
|    list of possible encodings, see section :ref:`standard-encodings`.
 | |
| 
 | |
|    .. versionchanged:: 3.1
 | |
|       Added support for keyword arguments added.
 | |
| 
 | |
| .. method:: str.endswith(suffix[, start[, end]])
 | |
| 
 | |
|    Return ``True`` if the string ends with the specified *suffix*, otherwise return
 | |
|    ``False``.  *suffix* can also be a tuple of suffixes to look for.  With optional
 | |
|    *start*, test beginning at that position.  With optional *end*, stop comparing
 | |
|    at that position.
 | |
| 
 | |
| 
 | |
| .. method:: str.expandtabs([tabsize])
 | |
| 
 | |
|    Return a copy of the string where all tab characters are replaced by one or
 | |
|    more spaces, depending on the current column and the given tab size.  The
 | |
|    column number is reset to zero after each newline occurring in the string.
 | |
|    If *tabsize* is not given, a tab size of ``8`` characters is assumed.  This
 | |
|    doesn't understand other non-printing characters or escape sequences.
 | |
| 
 | |
| 
 | |
| .. method:: str.find(sub[, start[, end]])
 | |
| 
 | |
|    Return the lowest index in the string where substring *sub* is found, such
 | |
|    that *sub* is contained in the slice ``s[start:end]``.  Optional arguments
 | |
|    *start* and *end* are interpreted as in slice notation.  Return ``-1`` if
 | |
|    *sub* is not found.
 | |
| 
 | |
| 
 | |
| .. method:: str.format(*args, **kwargs)
 | |
| 
 | |
|    Perform a string formatting operation.  The string on which this method is
 | |
|    called can contain literal text or replacement fields delimited by braces
 | |
|    ``{}``.  Each replacement field contains either the numeric index of a
 | |
|    positional argument, or the name of a keyword argument.  Returns a copy of
 | |
|    the string where each replacement field is replaced with the string value of
 | |
|    the corresponding argument.
 | |
| 
 | |
|       >>> "The sum of 1 + 2 is {0}".format(1+2)
 | |
|       'The sum of 1 + 2 is 3'
 | |
| 
 | |
|    See :ref:`formatstrings` for a description of the various formatting options
 | |
|    that can be specified in format strings.
 | |
| 
 | |
| 
 | |
| .. method:: str.index(sub[, start[, end]])
 | |
| 
 | |
|    Like :meth:`find`, but raise :exc:`ValueError` when the substring is not found.
 | |
| 
 | |
| 
 | |
| .. method:: str.isalnum()
 | |
| 
 | |
|    Return true if all characters in the string are alphanumeric and there is at
 | |
|    least one character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.isalpha()
 | |
| 
 | |
|    Return true if all characters in the string are alphabetic and there is at least
 | |
|    one character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.isdecimal()
 | |
| 
 | |
|    Return true if all characters in the string are decimal
 | |
|    characters and there is at least one character, false
 | |
|    otherwise. Decimal characters include digit characters, and all characters
 | |
|    that that can be used to form decimal-radix numbers, e.g. U+0660,
 | |
|    ARABIC-INDIC DIGIT ZERO.
 | |
| 
 | |
| 
 | |
| .. method:: str.isdigit()
 | |
| 
 | |
|    Return true if all characters in the string are digits and there is at least one
 | |
|    character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.isidentifier()
 | |
| 
 | |
|    Return true if the string is a valid identifier according to the language
 | |
|    definition, section :ref:`identifiers`.
 | |
| 
 | |
| 
 | |
| .. method:: str.islower()
 | |
| 
 | |
|    Return true if all cased characters in the string are lowercase and there is at
 | |
|    least one cased character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.isnumeric()
 | |
| 
 | |
|    Return true if all characters in the string are numeric
 | |
|    characters, and there is at least one character, false
 | |
|    otherwise. Numeric characters include digit characters, and all characters
 | |
|    that have the Unicode numeric value property, e.g. U+2155,
 | |
|    VULGAR FRACTION ONE FIFTH.
 | |
| 
 | |
| 
 | |
| .. method:: str.isprintable()
 | |
| 
 | |
|    Return true if all characters in the string are printable or the string is
 | |
|    empty, false otherwise.  Nonprintable characters are those characters defined
 | |
|    in the Unicode character database as "Other" or "Separator", excepting the
 | |
|    ASCII space (0x20) which is considered printable.  (Note that printable
 | |
|    characters in this context are those which should not be escaped when
 | |
|    :func:`repr` is invoked on a string.  It has no bearing on the handling of
 | |
|    strings written to :data:`sys.stdout` or :data:`sys.stderr`.)
 | |
| 
 | |
| 
 | |
| .. method:: str.isspace()
 | |
| 
 | |
|    Return true if there are only whitespace characters in the string and there is
 | |
|    at least one character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.istitle()
 | |
| 
 | |
|    Return true if the string is a titlecased string and there is at least one
 | |
|    character, for example uppercase characters may only follow uncased characters
 | |
|    and lowercase characters only cased ones.  Return false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.isupper()
 | |
| 
 | |
|    Return true if all cased characters in the string are uppercase and there is at
 | |
|    least one cased character, false otherwise.
 | |
| 
 | |
| 
 | |
| .. method:: str.join(iterable)
 | |
| 
 | |
|    Return a string which is the concatenation of the strings in the
 | |
|    :term:`iterable` *iterable*.  A :exc:`TypeError` will be raised if there are
 | |
|    any non-string values in *seq*, including :class:`bytes` objects.  The
 | |
|    separator between elements is the string providing this method.
 | |
| 
 | |
| 
 | |
| .. method:: str.ljust(width[, fillchar])
 | |
| 
 | |
|    Return the string left justified in a string of length *width*. Padding is done
 | |
|    using the specified *fillchar* (default is a space).  The original string is
 | |
|    returned if *width* is less than ``len(s)``.
 | |
| 
 | |
| 
 | |
| .. method:: str.lower()
 | |
| 
 | |
|    Return a copy of the string converted to lowercase.
 | |
| 
 | |
| 
 | |
| .. method:: str.lstrip([chars])
 | |
| 
 | |
|    Return a copy of the string with leading characters removed.  The *chars*
 | |
|    argument is a string specifying the set of characters to be removed.  If omitted
 | |
|    or ``None``, the *chars* argument defaults to removing whitespace.  The *chars*
 | |
|    argument is not a prefix; rather, all combinations of its values are stripped:
 | |
| 
 | |
|       >>> '   spacious   '.lstrip()
 | |
|       'spacious   '
 | |
|       >>> 'www.example.com'.lstrip('cmowz.')
 | |
|       'example.com'
 | |
| 
 | |
| 
 | |
| .. staticmethod:: str.maketrans(x[, y[, z]])
 | |
| 
 | |
|    This static method returns a translation table usable for :meth:`str.translate`.
 | |
| 
 | |
|    If there is only one argument, it must be a dictionary mapping Unicode
 | |
|    ordinals (integers) or characters (strings of length 1) to Unicode ordinals,
 | |
|    strings (of arbitrary lengths) or None.  Character keys will then be
 | |
|    converted to ordinals.
 | |
| 
 | |
|    If there are two arguments, they must be strings of equal length, and in the
 | |
|    resulting dictionary, each character in x will be mapped to the character at
 | |
|    the same position in y.  If there is a third argument, it must be a string,
 | |
|    whose characters will be mapped to None in the result.
 | |
| 
 | |
| 
 | |
| .. method:: str.partition(sep)
 | |
| 
 | |
|    Split the string at the first occurrence of *sep*, and return a 3-tuple
 | |
|    containing the part before the separator, the separator itself, and the part
 | |
|    after the separator.  If the separator is not found, return a 3-tuple containing
 | |
|    the string itself, followed by two empty strings.
 | |
| 
 | |
| 
 | |
| .. method:: str.replace(old, new[, count])
 | |
| 
 | |
|    Return a copy of the string with all occurrences of substring *old* replaced by
 | |
|    *new*.  If the optional argument *count* is given, only the first *count*
 | |
|    occurrences are replaced.
 | |
| 
 | |
| 
 | |
| .. method:: str.rfind(sub[, start[, end]])
 | |
| 
 | |
|    Return the highest index in the string where substring *sub* is found, such
 | |
|    that *sub* is contained within ``s[start:end]``.  Optional arguments *start*
 | |
|    and *end* are interpreted as in slice notation.  Return ``-1`` on failure.
 | |
| 
 | |
| 
 | |
| .. method:: str.rindex(sub[, start[, end]])
 | |
| 
 | |
|    Like :meth:`rfind` but raises :exc:`ValueError` when the substring *sub* is not
 | |
|    found.
 | |
| 
 | |
| 
 | |
| .. method:: str.rjust(width[, fillchar])
 | |
| 
 | |
|    Return the string right justified in a string of length *width*. Padding is done
 | |
|    using the specified *fillchar* (default is a space). The original string is
 | |
|    returned if *width* is less than ``len(s)``.
 | |
| 
 | |
| 
 | |
| .. method:: str.rpartition(sep)
 | |
| 
 | |
|    Split the string at the last occurrence of *sep*, and return a 3-tuple
 | |
|    containing the part before the separator, the separator itself, and the part
 | |
|    after the separator.  If the separator is not found, return a 3-tuple containing
 | |
|    two empty strings, followed by the string itself.
 | |
| 
 | |
| 
 | |
| .. method:: str.rsplit([sep[, maxsplit]])
 | |
| 
 | |
|    Return a list of the words in the string, using *sep* as the delimiter string.
 | |
|    If *maxsplit* is given, at most *maxsplit* splits are done, the *rightmost*
 | |
|    ones.  If *sep* is not specified or ``None``, any whitespace string is a
 | |
|    separator.  Except for splitting from the right, :meth:`rsplit` behaves like
 | |
|    :meth:`split` which is described in detail below.
 | |
| 
 | |
| 
 | |
| .. method:: str.rstrip([chars])
 | |
| 
 | |
|    Return a copy of the string with trailing characters removed.  The *chars*
 | |
|    argument is a string specifying the set of characters to be removed.  If omitted
 | |
|    or ``None``, the *chars* argument defaults to removing whitespace.  The *chars*
 | |
|    argument is not a suffix; rather, all combinations of its values are stripped:
 | |
| 
 | |
|       >>> '   spacious   '.rstrip()
 | |
|       '   spacious'
 | |
|       >>> 'mississippi'.rstrip('ipz')
 | |
|       'mississ'
 | |
| 
 | |
| 
 | |
| .. method:: str.split([sep[, maxsplit]])
 | |
| 
 | |
|    Return a list of the words in the string, using *sep* as the delimiter
 | |
|    string.  If *maxsplit* is given, at most *maxsplit* splits are done (thus,
 | |
|    the list will have at most ``maxsplit+1`` elements).  If *maxsplit* is not
 | |
|    specified, then there is no limit on the number of splits (all possible
 | |
|    splits are made).
 | |
| 
 | |
|    If *sep* is given, consecutive delimiters are not grouped together and are
 | |
|    deemed to delimit empty strings (for example, ``'1,,2'.split(',')`` returns
 | |
|    ``['1', '', '2']``).  The *sep* argument may consist of multiple characters
 | |
|    (for example, ``'1<>2<>3'.split('<>')`` returns ``['1', '2', '3']``).
 | |
|    Splitting an empty string with a specified separator returns ``['']``.
 | |
| 
 | |
|    If *sep* is not specified or is ``None``, a different splitting algorithm is
 | |
|    applied: runs of consecutive whitespace are regarded as a single separator,
 | |
|    and the result will contain no empty strings at the start or end if the
 | |
|    string has leading or trailing whitespace.  Consequently, splitting an empty
 | |
|    string or a string consisting of just whitespace with a ``None`` separator
 | |
|    returns ``[]``.
 | |
| 
 | |
|    For example, ``' 1  2   3  '.split()`` returns ``['1', '2', '3']``, and
 | |
|    ``'  1  2   3  '.split(None, 1)`` returns ``['1', '2   3  ']``.
 | |
| 
 | |
| 
 | |
| .. method:: str.splitlines([keepends])
 | |
| 
 | |
|    Return a list of the lines in the string, breaking at line boundaries.  Line
 | |
|    breaks are not included in the resulting list unless *keepends* is given and
 | |
|    true.
 | |
| 
 | |
| 
 | |
| .. method:: str.startswith(prefix[, start[, end]])
 | |
| 
 | |
|    Return ``True`` if string starts with the *prefix*, otherwise return ``False``.
 | |
|    *prefix* can also be a tuple of prefixes to look for.  With optional *start*,
 | |
|    test string beginning at that position.  With optional *end*, stop comparing
 | |
|    string at that position.
 | |
| 
 | |
| 
 | |
| .. method:: str.strip([chars])
 | |
| 
 | |
|    Return a copy of the string with the leading and trailing characters removed.
 | |
|    The *chars* argument is a string specifying the set of characters to be removed.
 | |
|    If omitted or ``None``, the *chars* argument defaults to removing whitespace.
 | |
|    The *chars* argument is not a prefix or suffix; rather, all combinations of its
 | |
|    values are stripped:
 | |
| 
 | |
|       >>> '   spacious   '.strip()
 | |
|       'spacious'
 | |
|       >>> 'www.example.com'.strip('cmowz.')
 | |
|       'example'
 | |
| 
 | |
| 
 | |
| .. method:: str.swapcase()
 | |
| 
 | |
|    Return a copy of the string with uppercase characters converted to lowercase and
 | |
|    vice versa.
 | |
| 
 | |
| 
 | |
| .. method:: str.title()
 | |
| 
 | |
|    Return a titlecased version of the string where words start with an uppercase
 | |
|    character and the remaining characters are lowercase.
 | |
| 
 | |
|    The algorithm uses a simple language-independent definition of a word as
 | |
|    groups of consecutive letters.  The definition works in many contexts but
 | |
|    it means that apostrophes in contractions and possessives form word
 | |
|    boundaries, which may not be the desired result::
 | |
| 
 | |
|         >>> "they're bill's friends from the UK".title()
 | |
|         "They'Re Bill'S Friends From The Uk"
 | |
| 
 | |
|    A workaround for apostrophes can be constructed using regular expressions::
 | |
| 
 | |
|         >>> import re
 | |
|         >>> def titlecase(s):
 | |
|                 return re.sub(r"[A-Za-z]+('[A-Za-z]+)?",
 | |
|                               lambda mo: mo.group(0)[0].upper() +
 | |
|                                          mo.group(0)[1:].lower(),
 | |
|                               s)
 | |
| 
 | |
|         >>> titlecase("they're bill's friends.")
 | |
|         "They're Bill's Friends."
 | |
| 
 | |
| 
 | |
| .. method:: str.translate(map)
 | |
| 
 | |
|    Return a copy of the *s* where all characters have been mapped through the
 | |
|    *map* which must be a dictionary of Unicode ordinals (integers) to Unicode
 | |
|    ordinals, strings or ``None``.  Unmapped characters are left untouched.
 | |
|    Characters mapped to ``None`` are deleted.
 | |
| 
 | |
|    You can use :meth:`str.maketrans` to create a translation map from
 | |
|    character-to-character mappings in different formats.
 | |
| 
 | |
|    You can use the :func:`~string.maketrans` helper function in the :mod:`string`
 | |
|    module to create a translation table. For string objects, set the *table*
 | |
|    argument to ``None`` for translations that only delete characters:
 | |
| 
 | |
|    .. note::
 | |
| 
 | |
|       An even more flexible approach is to create a custom character mapping
 | |
|       codec using the :mod:`codecs` module (see :mod:`encodings.cp1251` for an
 | |
|       example).
 | |
| 
 | |
| 
 | |
| .. method:: str.upper()
 | |
| 
 | |
|    Return a copy of the string converted to uppercase.
 | |
| 
 | |
| 
 | |
| .. method:: str.zfill(width)
 | |
| 
 | |
|    Return the numeric string left filled with zeros in a string of length
 | |
|    *width*.  A sign prefix is handled correctly.  The original string is
 | |
|    returned if *width* is less than ``len(s)``.
 | |
| 
 | |
| 
 | |
| 
 | |
| .. _old-string-formatting:
 | |
| 
 | |
| Old String Formatting Operations
 | |
| --------------------------------
 | |
| 
 | |
| .. index::
 | |
|    single: formatting, string (%)
 | |
|    single: interpolation, string (%)
 | |
|    single: string; formatting
 | |
|    single: string; interpolation
 | |
|    single: printf-style formatting
 | |
|    single: sprintf-style formatting
 | |
|    single: % formatting
 | |
|    single: % interpolation
 | |
| 
 | |
| .. XXX is the note enough?
 | |
| 
 | |
| .. note::
 | |
| 
 | |
|    The formatting operations described here are obsolete and may go away in future
 | |
|    versions of Python.  Use the new :ref:`string-formatting` in new code.
 | |
| 
 | |
| String objects have one unique built-in operation: the ``%`` operator (modulo).
 | |
| This is also known as the string *formatting* or *interpolation* operator.
 | |
| Given ``format % values`` (where *format* is a string), ``%`` conversion
 | |
| specifications in *format* are replaced with zero or more elements of *values*.
 | |
| The effect is similar to the using :cfunc:`sprintf` in the C language.
 | |
| 
 | |
| If *format* requires a single argument, *values* may be a single non-tuple
 | |
| object. [#]_  Otherwise, *values* must be a tuple with exactly the number of
 | |
| items specified by the format string, or a single mapping object (for example, a
 | |
| dictionary).
 | |
| 
 | |
| A conversion specifier contains two or more characters and has the following
 | |
| components, which must occur in this order:
 | |
| 
 | |
| #. The ``'%'`` character, which marks the start of the specifier.
 | |
| 
 | |
| #. Mapping key (optional), consisting of a parenthesised sequence of characters
 | |
|    (for example, ``(somename)``).
 | |
| 
 | |
| #. Conversion flags (optional), which affect the result of some conversion
 | |
|    types.
 | |
| 
 | |
| #. Minimum field width (optional).  If specified as an ``'*'`` (asterisk), the
 | |
|    actual width is read from the next element of the tuple in *values*, and the
 | |
|    object to convert comes after the minimum field width and optional precision.
 | |
| 
 | |
| #. Precision (optional), given as a ``'.'`` (dot) followed by the precision.  If
 | |
|    specified as ``'*'`` (an asterisk), the actual width is read from the next
 | |
|    element of the tuple in *values*, and the value to convert comes after the
 | |
|    precision.
 | |
| 
 | |
| #. Length modifier (optional).
 | |
| 
 | |
| #. Conversion type.
 | |
| 
 | |
| When the right argument is a dictionary (or other mapping type), then the
 | |
| formats in the string *must* include a parenthesised mapping key into that
 | |
| dictionary inserted immediately after the ``'%'`` character. The mapping key
 | |
| selects the value to be formatted from the mapping.  For example:
 | |
| 
 | |
| 
 | |
|    >>> print('%(language)s has %(#)03d quote types.' % \
 | |
|    ...       {'language': "Python", "#": 2})
 | |
|    Python has 002 quote types.
 | |
| 
 | |
| In this case no ``*`` specifiers may occur in a format (since they require a
 | |
| sequential parameter list).
 | |
| 
 | |
| The conversion flag characters are:
 | |
| 
 | |
| +---------+---------------------------------------------------------------------+
 | |
| | Flag    | Meaning                                                             |
 | |
| +=========+=====================================================================+
 | |
| | ``'#'`` | The value conversion will use the "alternate form" (where defined   |
 | |
| |         | below).                                                             |
 | |
| +---------+---------------------------------------------------------------------+
 | |
| | ``'0'`` | The conversion will be zero padded for numeric values.              |
 | |
| +---------+---------------------------------------------------------------------+
 | |
| | ``'-'`` | The converted value is left adjusted (overrides the ``'0'``         |
 | |
| |         | conversion if both are given).                                      |
 | |
| +---------+---------------------------------------------------------------------+
 | |
| | ``' '`` | (a space) A blank should be left before a positive number (or empty |
 | |
| |         | string) produced by a signed conversion.                            |
 | |
| +---------+---------------------------------------------------------------------+
 | |
| | ``'+'`` | A sign character (``'+'`` or ``'-'``) will precede the conversion   |
 | |
| |         | (overrides a "space" flag).                                         |
 | |
| +---------+---------------------------------------------------------------------+
 | |
| 
 | |
| A length modifier (``h``, ``l``, or ``L``) may be present, but is ignored as it
 | |
| is not necessary for Python -- so e.g. ``%ld`` is identical to ``%d``.
 | |
| 
 | |
| The conversion types are:
 | |
| 
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | Conversion | Meaning                                             | Notes |
 | |
| +============+=====================================================+=======+
 | |
| | ``'d'``    | Signed integer decimal.                             |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'i'``    | Signed integer decimal.                             |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'o'``    | Signed octal value.                                 | \(1)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'u'``    | Obsolete type -- it is identical to ``'d'``.        | \(7)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'x'``    | Signed hexadecimal (lowercase).                     | \(2)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'X'``    | Signed hexadecimal (uppercase).                     | \(2)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'e'``    | Floating point exponential format (lowercase).      | \(3)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'E'``    | Floating point exponential format (uppercase).      | \(3)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'f'``    | Floating point decimal format.                      | \(3)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'F'``    | Floating point decimal format.                      | \(3)  |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'g'``    | Floating point format. Uses lowercase exponential   | \(4)  |
 | |
| |            | format if exponent is less than -4 or not less than |       |
 | |
| |            | precision, decimal format otherwise.                |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'G'``    | Floating point format. Uses uppercase exponential   | \(4)  |
 | |
| |            | format if exponent is less than -4 or not less than |       |
 | |
| |            | precision, decimal format otherwise.                |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'c'``    | Single character (accepts integer or single         |       |
 | |
| |            | character string).                                  |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'r'``    | String (converts any Python object using            | \(5)  |
 | |
| |            | :func:`repr`).                                      |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'s'``    | String (converts any Python object using            |       |
 | |
| |            | :func:`str`).                                       |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| | ``'%'``    | No argument is converted, results in a ``'%'``      |       |
 | |
| |            | character in the result.                            |       |
 | |
| +------------+-----------------------------------------------------+-------+
 | |
| 
 | |
| Notes:
 | |
| 
 | |
| (1)
 | |
|    The alternate form causes a leading zero (``'0'``) to be inserted between
 | |
|    left-hand padding and the formatting of the number if the leading character
 | |
|    of the result is not already a zero.
 | |
| 
 | |
| (2)
 | |
|    The alternate form causes a leading ``'0x'`` or ``'0X'`` (depending on whether
 | |
|    the ``'x'`` or ``'X'`` format was used) to be inserted between left-hand padding
 | |
|    and the formatting of the number if the leading character of the result is not
 | |
|    already a zero.
 | |
| 
 | |
| (3)
 | |
|    The alternate form causes the result to always contain a decimal point, even if
 | |
|    no digits follow it.
 | |
| 
 | |
|    The precision determines the number of digits after the decimal point and
 | |
|    defaults to 6.
 | |
| 
 | |
| (4)
 | |
|    The alternate form causes the result to always contain a decimal point, and
 | |
|    trailing zeroes are not removed as they would otherwise be.
 | |
| 
 | |
|    The precision determines the number of significant digits before and after the
 | |
|    decimal point and defaults to 6.
 | |
| 
 | |
| (5)
 | |
|    The precision determines the maximal number of characters used.
 | |
| 
 | |
| 
 | |
| (7)
 | |
|    See :pep:`237`.
 | |
| 
 | |
| Since Python strings have an explicit length, ``%s`` conversions do not assume
 | |
| that ``'\0'`` is the end of the string.
 | |
| 
 | |
| .. XXX Examples?
 | |
| 
 | |
| .. versionchanged:: 3.1
 | |
|    ``%f`` conversions for numbers whose absolute value is over 1e50 are no
 | |
|    longer replaced by ``%g`` conversions.
 | |
| 
 | |
| .. index::
 | |
|    module: string
 | |
|    module: re
 | |
| 
 | |
| Additional string operations are defined in standard modules :mod:`string` and
 | |
| :mod:`re`.
 | |
| 
 | |
| 
 | |
| .. _typesseq-range:
 | |
| 
 | |
| Range Type
 | |
| ----------
 | |
| 
 | |
| .. index:: object: range
 | |
| 
 | |
| The :class:`range` type is an immutable sequence which is commonly used for
 | |
| looping.  The advantage of the :class:`range` type is that an :class:`range`
 | |
| object will always take the same amount of memory, no matter the size of the
 | |
| range it represents.  There are no consistent performance advantages.
 | |
| 
 | |
| Range objects have very little behavior: they only support indexing, iteration,
 | |
| and the :func:`len` function.
 | |
| 
 | |
| 
 | |
| .. _typesseq-mutable:
 | |
| 
 | |
| Mutable Sequence Types
 | |
| ----------------------
 | |
| 
 | |
| .. index::
 | |
|    triple: mutable; sequence; types
 | |
|    object: list
 | |
|    object: bytearray
 | |
| 
 | |
| List and bytearray objects support additional operations that allow in-place
 | |
| modification of the object.  Other mutable sequence types (when added to the
 | |
| language) should also support these operations.  Strings and tuples are
 | |
| immutable sequence types: such objects cannot be modified once created. The
 | |
| following operations are defined on mutable sequence types (where *x* is an
 | |
| arbitrary object).
 | |
| 
 | |
| Note that while lists allow their items to be of any type, bytearray object
 | |
| "items" are all integers in the range 0 <= x < 256.
 | |
| 
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | Operation                    | Result                         | Notes               |
 | |
| +==============================+================================+=====================+
 | |
| | ``s[i] = x``                 | item *i* of *s* is replaced by |                     |
 | |
| |                              | *x*                            |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s[i:j] = t``               | slice of *s* from *i* to *j*   |                     |
 | |
| |                              | is replaced by the contents of |                     |
 | |
| |                              | the iterable *t*               |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``del s[i:j]``               | same as ``s[i:j] = []``        |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s[i:j:k] = t``             | the elements of ``s[i:j:k]``   | \(1)                |
 | |
| |                              | are replaced by those of *t*   |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``del s[i:j:k]``             | removes the elements of        |                     |
 | |
| |                              | ``s[i:j:k]`` from the list     |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.append(x)``              | same as ``s[len(s):len(s)] =   |                     |
 | |
| |                              | [x]``                          |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.extend(x)``              | same as ``s[len(s):len(s)] =   | \(2)                |
 | |
| |                              | x``                            |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.count(x)``               | return number of *i*'s for     |                     |
 | |
| |                              | which ``s[i] == x``            |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.index(x[, i[, j]])``     | return smallest *k* such that  | \(3)                |
 | |
| |                              | ``s[k] == x`` and ``i <= k <   |                     |
 | |
| |                              | j``                            |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.insert(i, x)``           | same as ``s[i:i] = [x]``       | \(4)                |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.pop([i])``               | same as ``x = s[i]; del s[i];  | \(5)                |
 | |
| |                              | return x``                     |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.remove(x)``              | same as ``del s[s.index(x)]``  | \(3)                |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.reverse()``              | reverses the items of *s* in   | \(6)                |
 | |
| |                              | place                          |                     |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| | ``s.sort([key[, reverse]])`` | sort the items of *s* in place | (6), (7), (8)       |
 | |
| +------------------------------+--------------------------------+---------------------+
 | |
| 
 | |
| .. index::
 | |
|    triple: operations on; sequence; types
 | |
|    triple: operations on; list; type
 | |
|    pair: subscript; assignment
 | |
|    pair: slice; assignment
 | |
|    statement: del
 | |
|    single: append() (sequence method)
 | |
|    single: extend() (sequence method)
 | |
|    single: count() (sequence method)
 | |
|    single: index() (sequence method)
 | |
|    single: insert() (sequence method)
 | |
|    single: pop() (sequence method)
 | |
|    single: remove() (sequence method)
 | |
|    single: reverse() (sequence method)
 | |
|    single: sort() (sequence method)
 | |
| 
 | |
| Notes:
 | |
| 
 | |
| (1)
 | |
|    *t* must have the same length as the slice it is replacing.
 | |
| 
 | |
| (2)
 | |
|    *x* can be any iterable object.
 | |
| 
 | |
| (3)
 | |
|    Raises :exc:`ValueError` when *x* is not found in *s*. When a negative index is
 | |
|    passed as the second or third parameter to the :meth:`index` method, the sequence
 | |
|    length is added, as for slice indices.  If it is still negative, it is truncated
 | |
|    to zero, as for slice indices.
 | |
| 
 | |
| (4)
 | |
|    When a negative index is passed as the first parameter to the :meth:`insert`
 | |
|    method, the sequence length is added, as for slice indices.  If it is still
 | |
|    negative, it is truncated to zero, as for slice indices.
 | |
| 
 | |
| (5)
 | |
|    The optional argument *i* defaults to ``-1``, so that by default the last
 | |
|    item is removed and returned.
 | |
| 
 | |
| (6)
 | |
|    The :meth:`sort` and :meth:`reverse` methods modify the sequence in place for
 | |
|    economy of space when sorting or reversing a large sequence.  To remind you
 | |
|    that they operate by side effect, they don't return the sorted or reversed
 | |
|    sequence.
 | |
| 
 | |
| (7)
 | |
|    The :meth:`sort` method takes optional arguments for controlling the
 | |
|    comparisons.  Each must be specified as a keyword argument.
 | |
| 
 | |
|    *key* specifies a function of one argument that is used to extract a comparison
 | |
|    key from each list element: ``key=str.lower``.  The default value is ``None``.
 | |
|    Use :func:`functools.cmp_to_key` to convert an
 | |
|    old-style *cmp* function to a *key* function.
 | |
| 
 | |
| 
 | |
|    *reverse* is a boolean value.  If set to ``True``, then the list elements are
 | |
|    sorted as if each comparison were reversed.
 | |
| 
 | |
|    The :meth:`sort` method is guaranteed to be stable.  A
 | |
|    sort is stable if it guarantees not to change the relative order of elements
 | |
|    that compare equal --- this is helpful for sorting in multiple passes (for
 | |
|    example, sort by department, then by salary grade).
 | |
| 
 | |
|    .. impl-detail::
 | |
| 
 | |
|       While a list is being sorted, the effect of attempting to mutate, or even
 | |
|       inspect, the list is undefined.  The C implementation of Python makes the
 | |
|       list appear empty for the duration, and raises :exc:`ValueError` if it can
 | |
|       detect that the list has been mutated during a sort.
 | |
| 
 | |
| (8)
 | |
|    :meth:`sort` is not supported by :class:`bytearray` objects.
 | |
| 
 | |
| 
 | |
| .. _bytes-methods:
 | |
| 
 | |
| Bytes and Byte Array Methods
 | |
| ----------------------------
 | |
| 
 | |
| .. index:: pair: bytes; methods
 | |
|            pair: bytearray; methods
 | |
| 
 | |
| Bytes and bytearray objects, being "strings of bytes", have all methods found on
 | |
| strings, with the exception of :func:`encode`, :func:`format` and
 | |
| :func:`isidentifier`, which do not make sense with these types.  For converting
 | |
| the objects to strings, they have a :func:`decode` method.
 | |
| 
 | |
| Wherever one of these methods needs to interpret the bytes as characters
 | |
| (e.g. the :func:`is...` methods), the ASCII character set is assumed.
 | |
| 
 | |
| .. note::
 | |
| 
 | |
|    The methods on bytes and bytearray objects don't accept strings as their
 | |
|    arguments, just as the methods on strings don't accept bytes as their
 | |
|    arguments.  For example, you have to write ::
 | |
| 
 | |
|       a = "abc"
 | |
|       b = a.replace("a", "f")
 | |
| 
 | |
|    and ::
 | |
| 
 | |
|       a = b"abc"
 | |
|       b = a.replace(b"a", b"f")
 | |
| 
 | |
| 
 | |
| .. method:: bytes.decode(encoding=sys.getdefaultencoding(), errors="strict")
 | |
|             bytearray.decode(encoding=sys.getdefaultencoding(), errors="strict")
 | |
| 
 | |
|    Return a string decoded from the given bytes.  Default encoding is the
 | |
|    current default string encoding.  *errors* may be given to set a different
 | |
|    error handling scheme.  The default for *errors* is ``'strict'``, meaning
 | |
|    that encoding errors raise a :exc:`UnicodeError`.  Other possible values are
 | |
|    ``'ignore'``, ``'replace'`` and any other name registered via
 | |
|    :func:`codecs.register_error`, see section :ref:`codec-base-classes`. For a
 | |
|    list of possible encodings, see section :ref:`standard-encodings`.
 | |
| 
 | |
|    .. versionchanged:: 3.1
 | |
|       Added support for keyword arguments.
 | |
| 
 | |
| 
 | |
| The bytes and bytearray types have an additional class method:
 | |
| 
 | |
| .. classmethod:: bytes.fromhex(string)
 | |
|                  bytearray.fromhex(string)
 | |
| 
 | |
|    This :class:`bytes` class method returns a bytes or bytearray object,
 | |
|    decoding the given string object.  The string must contain two hexadecimal
 | |
|    digits per byte, spaces are ignored.
 | |
| 
 | |
|    >>> bytes.fromhex('f0 f1f2  ')
 | |
|    b'\xf0\xf1\xf2'
 | |
| 
 | |
| 
 | |
| The maketrans and translate methods differ in semantics from the versions
 | |
| available on strings:
 | |
| 
 | |
| .. method:: bytes.translate(table[, delete])
 | |
|             bytearray.translate(table[, delete])
 | |
| 
 | |
|    Return a copy of the bytes or bytearray object where all bytes occurring in
 | |
|    the optional argument *delete* are removed, and the remaining bytes have been
 | |
|    mapped through the given translation table, which must be a bytes object of
 | |
|    length 256.
 | |
| 
 | |
|    You can use the :func:`bytes.maketrans` method to create a translation table.
 | |
| 
 | |
|    Set the *table* argument to ``None`` for translations that only delete
 | |
|    characters::
 | |
| 
 | |
|       >>> b'read this short text'.translate(None, b'aeiou')
 | |
|       b'rd ths shrt txt'
 | |
| 
 | |
| 
 | |
| .. staticmethod:: bytes.maketrans(from, to)
 | |
|                   bytearray.maketrans(from, to)
 | |
| 
 | |
|    This static method returns a translation table usable for
 | |
|    :meth:`bytes.translate` that will map each character in *from* into the
 | |
|    character at the same position in *to*; *from* and *to* must be bytes objects
 | |
|    and have the same length.
 | |
| 
 | |
|    .. versionadded:: 3.1
 | |
| 
 | |
| 
 | |
| .. _types-set:
 | |
| 
 | |
| Set Types --- :class:`set`, :class:`frozenset`
 | |
| ==============================================
 | |
| 
 | |
| .. index:: object: set
 | |
| 
 | |
| A :dfn:`set` object is an unordered collection of distinct :term:`hashable` objects.
 | |
| Common uses include membership testing, removing duplicates from a sequence, and
 | |
| computing mathematical operations such as intersection, union, difference, and
 | |
| symmetric difference.
 | |
| (For other containers see the built in :class:`dict`, :class:`list`,
 | |
| and :class:`tuple` classes, and the :mod:`collections` module.)
 | |
| 
 | |
| Like other collections, sets support ``x in set``, ``len(set)``, and ``for x in
 | |
| set``.  Being an unordered collection, sets do not record element position or
 | |
| order of insertion.  Accordingly, sets do not support indexing, slicing, or
 | |
| other sequence-like behavior.
 | |
| 
 | |
| There are currently two built-in set types, :class:`set` and :class:`frozenset`.
 | |
| The :class:`set` type is mutable --- the contents can be changed using methods
 | |
| like :meth:`add` and :meth:`remove`.  Since it is mutable, it has no hash value
 | |
| and cannot be used as either a dictionary key or as an element of another set.
 | |
| The :class:`frozenset` type is immutable and :term:`hashable` --- its contents cannot be
 | |
| altered after it is created; it can therefore be used as a dictionary key or as
 | |
| an element of another set.
 | |
| 
 | |
| Non-empty sets (not frozensets) can be created by placing a comma-separated list
 | |
| of elements within braces, for example: ``{'jack', 'sjoerd'}``, in addition to the
 | |
| :class:`set` constructor.
 | |
| 
 | |
| The constructors for both classes work the same:
 | |
| 
 | |
| .. class:: set([iterable])
 | |
|            frozenset([iterable])
 | |
| 
 | |
|    Return a new set or frozenset object whose elements are taken from
 | |
|    *iterable*.  The elements of a set must be hashable.  To represent sets of
 | |
|    sets, the inner sets must be :class:`frozenset` objects.  If *iterable* is
 | |
|    not specified, a new empty set is returned.
 | |
| 
 | |
|    Instances of :class:`set` and :class:`frozenset` provide the following
 | |
|    operations:
 | |
| 
 | |
|    .. describe:: len(s)
 | |
| 
 | |
|       Return the cardinality of set *s*.
 | |
| 
 | |
|    .. describe:: x in s
 | |
| 
 | |
|       Test *x* for membership in *s*.
 | |
| 
 | |
|    .. describe:: x not in s
 | |
| 
 | |
|       Test *x* for non-membership in *s*.
 | |
| 
 | |
|    .. method:: isdisjoint(other)
 | |
| 
 | |
|       Return True if the set has no elements in common with *other*.  Sets are
 | |
|       disjoint if and only if their intersection is the empty set.
 | |
| 
 | |
|    .. method:: issubset(other)
 | |
|                set <= other
 | |
| 
 | |
|       Test whether every element in the set is in *other*.
 | |
| 
 | |
|    .. method:: set < other
 | |
| 
 | |
|       Test whether the set is a true subset of *other*, that is,
 | |
|       ``set <= other and set != other``.
 | |
| 
 | |
|    .. method:: issuperset(other)
 | |
|                set >= other
 | |
| 
 | |
|       Test whether every element in *other* is in the set.
 | |
| 
 | |
|    .. method:: set > other
 | |
| 
 | |
|       Test whether the set is a true superset of *other*, that is, ``set >=
 | |
|       other and set != other``.
 | |
| 
 | |
|    .. method:: union(other, ...)
 | |
|                set | other | ...
 | |
| 
 | |
|       Return a new set with elements from the set and all others.
 | |
| 
 | |
|    .. method:: intersection(other, ...)
 | |
|                set & other & ...
 | |
| 
 | |
|       Return a new set with elements common to the set and all others.
 | |
| 
 | |
|    .. method:: difference(other, ...)
 | |
|                set - other - ...
 | |
| 
 | |
|       Return a new set with elements in the set that are not in the others.
 | |
| 
 | |
|    .. method:: symmetric_difference(other)
 | |
|                set ^ other
 | |
| 
 | |
|       Return a new set with elements in either the set or *other* but not both.
 | |
| 
 | |
|    .. method:: copy()
 | |
| 
 | |
|       Return a new set with a shallow copy of *s*.
 | |
| 
 | |
| 
 | |
|    Note, the non-operator versions of :meth:`union`, :meth:`intersection`,
 | |
|    :meth:`difference`, and :meth:`symmetric_difference`, :meth:`issubset`, and
 | |
|    :meth:`issuperset` methods will accept any iterable as an argument.  In
 | |
|    contrast, their operator based counterparts require their arguments to be
 | |
|    sets.  This precludes error-prone constructions like ``set('abc') & 'cbs'``
 | |
|    in favor of the more readable ``set('abc').intersection('cbs')``.
 | |
| 
 | |
|    Both :class:`set` and :class:`frozenset` support set to set comparisons. Two
 | |
|    sets are equal if and only if every element of each set is contained in the
 | |
|    other (each is a subset of the other). A set is less than another set if and
 | |
|    only if the first set is a proper subset of the second set (is a subset, but
 | |
|    is not equal). A set is greater than another set if and only if the first set
 | |
|    is a proper superset of the second set (is a superset, but is not equal).
 | |
| 
 | |
|    Instances of :class:`set` are compared to instances of :class:`frozenset`
 | |
|    based on their members.  For example, ``set('abc') == frozenset('abc')``
 | |
|    returns ``True`` and so does ``set('abc') in set([frozenset('abc')])``.
 | |
| 
 | |
|    The subset and equality comparisons do not generalize to a complete ordering
 | |
|    function.  For example, any two disjoint sets are not equal and are not
 | |
|    subsets of each other, so *all* of the following return ``False``: ``a<b``,
 | |
|    ``a==b``, or ``a>b``.
 | |
| 
 | |
|    Since sets only define partial ordering (subset relationships), the output of
 | |
|    the :meth:`list.sort` method is undefined for lists of sets.
 | |
| 
 | |
|    Set elements, like dictionary keys, must be :term:`hashable`.
 | |
| 
 | |
|    Binary operations that mix :class:`set` instances with :class:`frozenset`
 | |
|    return the type of the first operand.  For example: ``frozenset('ab') |
 | |
|    set('bc')`` returns an instance of :class:`frozenset`.
 | |
| 
 | |
|    The following table lists operations available for :class:`set` that do not
 | |
|    apply to immutable instances of :class:`frozenset`:
 | |
| 
 | |
|    .. method:: update(other, ...)
 | |
|                set |= other | ...
 | |
| 
 | |
|       Update the set, adding elements from all others.
 | |
| 
 | |
|    .. method:: intersection_update(other, ...)
 | |
|                set &= other & ...
 | |
| 
 | |
|       Update the set, keeping only elements found in it and all others.
 | |
| 
 | |
|    .. method:: difference_update(other, ...)
 | |
|                set -= other | ...
 | |
| 
 | |
|       Update the set, removing elements found in others.
 | |
| 
 | |
|    .. method:: symmetric_difference_update(other)
 | |
|                set ^= other
 | |
| 
 | |
|       Update the set, keeping only elements found in either set, but not in both.
 | |
| 
 | |
|    .. method:: add(elem)
 | |
| 
 | |
|       Add element *elem* to the set.
 | |
| 
 | |
|    .. method:: remove(elem)
 | |
| 
 | |
|       Remove element *elem* from the set.  Raises :exc:`KeyError` if *elem* is
 | |
|       not contained in the set.
 | |
| 
 | |
|    .. method:: discard(elem)
 | |
| 
 | |
|       Remove element *elem* from the set if it is present.
 | |
| 
 | |
|    .. method:: pop()
 | |
| 
 | |
|       Remove and return an arbitrary element from the set.  Raises
 | |
|       :exc:`KeyError` if the set is empty.
 | |
| 
 | |
|    .. method:: clear()
 | |
| 
 | |
|       Remove all elements from the set.
 | |
| 
 | |
| 
 | |
|    Note, the non-operator versions of the :meth:`update`,
 | |
|    :meth:`intersection_update`, :meth:`difference_update`, and
 | |
|    :meth:`symmetric_difference_update` methods will accept any iterable as an
 | |
|    argument.
 | |
| 
 | |
|    Note, the *elem* argument to the :meth:`__contains__`, :meth:`remove`, and
 | |
|    :meth:`discard` methods may be a set.  To support searching for an equivalent
 | |
|    frozenset, the *elem* set is temporarily mutated during the search and then
 | |
|    restored.  During the search, the *elem* set should not be read or mutated
 | |
|    since it does not have a meaningful value.
 | |
| 
 | |
| 
 | |
| .. _typesmapping:
 | |
| 
 | |
| Mapping Types --- :class:`dict`
 | |
| ===============================
 | |
| 
 | |
| .. index::
 | |
|    object: mapping
 | |
|    object: dictionary
 | |
|    triple: operations on; mapping; types
 | |
|    triple: operations on; dictionary; type
 | |
|    statement: del
 | |
|    builtin: len
 | |
| 
 | |
| A :dfn:`mapping` object maps :term:`hashable` values to arbitrary objects.
 | |
| Mappings are mutable objects.  There is currently only one standard mapping
 | |
| type, the :dfn:`dictionary`.  (For other containers see the built in
 | |
| :class:`list`, :class:`set`, and :class:`tuple` classes, and the
 | |
| :mod:`collections` module.)
 | |
| 
 | |
| A dictionary's keys are *almost* arbitrary values.  Values that are not
 | |
| :term:`hashable`, that is, values containing lists, dictionaries or other
 | |
| mutable types (that are compared by value rather than by object identity) may
 | |
| not be used as keys.  Numeric types used for keys obey the normal rules for
 | |
| numeric comparison: if two numbers compare equal (such as ``1`` and ``1.0``)
 | |
| then they can be used interchangeably to index the same dictionary entry.  (Note
 | |
| however, that since computers store floating-point numbers as approximations it
 | |
| is usually unwise to use them as dictionary keys.)
 | |
| 
 | |
| Dictionaries can be created by placing a comma-separated list of ``key: value``
 | |
| pairs within braces, for example: ``{'jack': 4098, 'sjoerd': 4127}`` or ``{4098:
 | |
| 'jack', 4127: 'sjoerd'}``, or by the :class:`dict` constructor.
 | |
| 
 | |
| .. class:: dict([arg])
 | |
| 
 | |
|    Return a new dictionary initialized from an optional positional argument or
 | |
|    from a set of keyword arguments.  If no arguments are given, return a new
 | |
|    empty dictionary.  If the positional argument *arg* is a mapping object,
 | |
|    return a dictionary mapping the same keys to the same values as does the
 | |
|    mapping object.  Otherwise the positional argument must be a sequence, a
 | |
|    container that supports iteration, or an iterator object.  The elements of
 | |
|    the argument must each also be of one of those kinds, and each must in turn
 | |
|    contain exactly two objects.  The first is used as a key in the new
 | |
|    dictionary, and the second as the key's value.  If a given key is seen more
 | |
|    than once, the last value associated with it is retained in the new
 | |
|    dictionary.
 | |
| 
 | |
|    If keyword arguments are given, the keywords themselves with their associated
 | |
|    values are added as items to the dictionary.  If a key is specified both in
 | |
|    the positional argument and as a keyword argument, the value associated with
 | |
|    the keyword is retained in the dictionary.  For example, these all return a
 | |
|    dictionary equal to ``{"one": 2, "two": 3}``:
 | |
| 
 | |
|    * ``dict(one=2, two=3)``
 | |
|    * ``dict({'one': 2, 'two': 3})``
 | |
|    * ``dict(zip(('one', 'two'), (2, 3)))``
 | |
|    * ``dict([['two', 3], ['one', 2]])``
 | |
| 
 | |
|    The first example only works for keys that are valid Python identifiers; the
 | |
|    others work with any valid keys.
 | |
| 
 | |
| 
 | |
|    These are the operations that dictionaries support (and therefore, custom
 | |
|    mapping types should support too):
 | |
| 
 | |
|    .. describe:: len(d)
 | |
| 
 | |
|       Return the number of items in the dictionary *d*.
 | |
| 
 | |
|    .. describe:: d[key]
 | |
| 
 | |
|       Return the item of *d* with key *key*.  Raises a :exc:`KeyError` if *key* is
 | |
|       not in the map.
 | |
| 
 | |
|       If a subclass of dict defines a method :meth:`__missing__`, if the key *key*
 | |
|       is not present, the ``d[key]`` operation calls that method with the key *key*
 | |
|       as argument.  The ``d[key]`` operation then returns or raises whatever is
 | |
|       returned or raised by the ``__missing__(key)`` call if the key is not
 | |
|       present. No other operations or methods invoke :meth:`__missing__`. If
 | |
|       :meth:`__missing__` is not defined, :exc:`KeyError` is raised.
 | |
|       :meth:`__missing__` must be a method; it cannot be an instance variable. For
 | |
|       an example, see :class:`collections.defaultdict`.
 | |
| 
 | |
|    .. describe:: d[key] = value
 | |
| 
 | |
|       Set ``d[key]`` to *value*.
 | |
| 
 | |
|    .. describe:: del d[key]
 | |
| 
 | |
|       Remove ``d[key]`` from *d*.  Raises a :exc:`KeyError` if *key* is not in the
 | |
|       map.
 | |
| 
 | |
|    .. describe:: key in d
 | |
| 
 | |
|       Return ``True`` if *d* has a key *key*, else ``False``.
 | |
| 
 | |
|    .. describe:: key not in d
 | |
| 
 | |
|       Equivalent to ``not key in d``.
 | |
| 
 | |
|    .. describe:: iter(d)
 | |
| 
 | |
|       Return an iterator over the keys of the dictionary.  This is a shortcut
 | |
|       for ``iter(d.keys())``.
 | |
| 
 | |
|    .. method:: clear()
 | |
| 
 | |
|       Remove all items from the dictionary.
 | |
| 
 | |
|    .. method:: copy()
 | |
| 
 | |
|       Return a shallow copy of the dictionary.
 | |
| 
 | |
|    .. classmethod:: fromkeys(seq[, value])
 | |
| 
 | |
|       Create a new dictionary with keys from *seq* and values set to *value*.
 | |
| 
 | |
|       :meth:`fromkeys` is a class method that returns a new dictionary. *value*
 | |
|       defaults to ``None``.
 | |
| 
 | |
|    .. method:: get(key[, default])
 | |
| 
 | |
|       Return the value for *key* if *key* is in the dictionary, else *default*.
 | |
|       If *default* is not given, it defaults to ``None``, so that this method
 | |
|       never raises a :exc:`KeyError`.
 | |
| 
 | |
|    .. method:: items()
 | |
| 
 | |
|       Return a new view of the dictionary's items (``(key, value)`` pairs).  See
 | |
|       below for documentation of view objects.
 | |
| 
 | |
|    .. method:: keys()
 | |
| 
 | |
|       Return a new view of the dictionary's keys.  See below for documentation of
 | |
|       view objects.
 | |
| 
 | |
|    .. method:: pop(key[, default])
 | |
| 
 | |
|       If *key* is in the dictionary, remove it and return its value, else return
 | |
|       *default*.  If *default* is not given and *key* is not in the dictionary,
 | |
|       a :exc:`KeyError` is raised.
 | |
| 
 | |
|    .. method:: popitem()
 | |
| 
 | |
|       Remove and return an arbitrary ``(key, value)`` pair from the dictionary.
 | |
| 
 | |
|       :meth:`popitem` is useful to destructively iterate over a dictionary, as
 | |
|       often used in set algorithms.  If the dictionary is empty, calling
 | |
|       :meth:`popitem` raises a :exc:`KeyError`.
 | |
| 
 | |
|    .. method:: setdefault(key[, default])
 | |
| 
 | |
|       If *key* is in the dictionary, return its value.  If not, insert *key*
 | |
|       with a value of *default* and return *default*.  *default* defaults to
 | |
|       ``None``.
 | |
| 
 | |
|    .. method:: update([other])
 | |
| 
 | |
|      Update the dictionary with the key/value pairs from *other*, overwriting
 | |
|      existing keys.  Return ``None``.
 | |
| 
 | |
|       :meth:`update` accepts either another dictionary object or an iterable of
 | |
|       key/value pairs (as a tuple or other iterable of length two).  If keyword
 | |
|       arguments are specified, the dictionary is then updated with those
 | |
|       key/value pairs: ``d.update(red=1, blue=2)``.
 | |
| 
 | |
|    .. method:: values()
 | |
| 
 | |
|       Return a new view of the dictionary's values.  See below for documentation of
 | |
|       view objects.
 | |
| 
 | |
| 
 | |
| .. _dict-views:
 | |
| 
 | |
| Dictionary view objects
 | |
| -----------------------
 | |
| 
 | |
| The objects returned by :meth:`dict.keys`, :meth:`dict.values` and
 | |
| :meth:`dict.items` are *view objects*.  They provide a dynamic view on the
 | |
| dictionary's entries, which means that when the dictionary changes, the view
 | |
| reflects these changes.
 | |
| 
 | |
| Dictionary views can be iterated over to yield their respective data, and
 | |
| support membership tests:
 | |
| 
 | |
| .. describe:: len(dictview)
 | |
| 
 | |
|    Return the number of entries in the dictionary.
 | |
| 
 | |
| .. describe:: iter(dictview)
 | |
| 
 | |
|    Return an iterator over the keys, values or items (represented as tuples of
 | |
|    ``(key, value)``) in the dictionary.
 | |
| 
 | |
|    Keys and values are iterated over in an arbitrary order which is non-random,
 | |
|    varies across Python implementations, and depends on the dictionary's history
 | |
|    of insertions and deletions. If keys, values and items views are iterated
 | |
|    over with no intervening modifications to the dictionary, the order of items
 | |
|    will directly correspond.  This allows the creation of ``(value, key)`` pairs
 | |
|    using :func:`zip`: ``pairs = zip(d.values(), d.keys())``.  Another way to
 | |
|    create the same list is ``pairs = [(v, k) for (k, v) in d.items()]``.
 | |
| 
 | |
|    Iterating views while adding or deleting entries in the dictionary may raise
 | |
|    a :exc:`RuntimeError` or fail to iterate over all entries.
 | |
| 
 | |
| .. describe:: x in dictview
 | |
| 
 | |
|    Return ``True`` if *x* is in the underlying dictionary's keys, values or
 | |
|    items (in the latter case, *x* should be a ``(key, value)`` tuple).
 | |
| 
 | |
| 
 | |
| Keys views are set-like since their entries are unique and hashable.  If all
 | |
| values are hashable, so that (key, value) pairs are unique and hashable, then
 | |
| the items view is also set-like.  (Values views are not treated as set-like
 | |
| since the entries are generally not unique.)  Then these set operations are
 | |
| available ("other" refers either to another view or a set):
 | |
| 
 | |
| .. describe:: dictview & other
 | |
| 
 | |
|    Return the intersection of the dictview and the other object as a new set.
 | |
| 
 | |
| .. describe:: dictview | other
 | |
| 
 | |
|    Return the union of the dictview and the other object as a new set.
 | |
| 
 | |
| .. describe:: dictview - other
 | |
| 
 | |
|    Return the difference between the dictview and the other object (all elements
 | |
|    in *dictview* that aren't in *other*) as a new set.
 | |
| 
 | |
| .. describe:: dictview ^ other
 | |
| 
 | |
|    Return the symmetric difference (all elements either in *dictview* or
 | |
|    *other*, but not in both) of the dictview and the other object as a new set.
 | |
| 
 | |
| 
 | |
| An example of dictionary view usage::
 | |
| 
 | |
|    >>> dishes = {'eggs': 2, 'sausage': 1, 'bacon': 1, 'spam': 500}
 | |
|    >>> keys = dishes.keys()
 | |
|    >>> values = dishes.values()
 | |
| 
 | |
|    >>> # iteration
 | |
|    >>> n = 0
 | |
|    >>> for val in values:
 | |
|    ...     n += val
 | |
|    >>> print(n)
 | |
|    504
 | |
| 
 | |
|    >>> # keys and values are iterated over in the same order
 | |
|    >>> list(keys)
 | |
|    ['eggs', 'bacon', 'sausage', 'spam']
 | |
|    >>> list(values)
 | |
|    [2, 1, 1, 500]
 | |
| 
 | |
|    >>> # view objects are dynamic and reflect dict changes
 | |
|    >>> del dishes['eggs']
 | |
|    >>> del dishes['sausage']
 | |
|    >>> list(keys)
 | |
|    ['spam', 'bacon']
 | |
| 
 | |
|    >>> # set operations
 | |
|    >>> keys & {'eggs', 'bacon', 'salad'}
 | |
|    {'bacon'}
 | |
| 
 | |
| 
 | |
| .. _typememoryview:
 | |
| 
 | |
| memoryview type
 | |
| ===============
 | |
| 
 | |
| :class:`memoryview` objects allow Python code to access the internal data
 | |
| of an object that supports the buffer protocol without copying.  Memory
 | |
| is generally interpreted as simple bytes.
 | |
| 
 | |
| .. class:: memoryview(obj)
 | |
| 
 | |
|    Create a :class:`memoryview` that references *obj*.  *obj* must support the
 | |
|    buffer protocol.  Builtin objects that support the buffer protocol include
 | |
|    :class:`bytes` and :class:`bytearray`.
 | |
| 
 | |
|    A :class:`memoryview` has the notion of an *element*, which is the
 | |
|    atomic memory unit handled by the originating object *obj*.  For many
 | |
|    simple types such as :class:`bytes` and :class:`bytearray`, an element
 | |
|    is a single byte, but other types such as :class:`array.array` may have
 | |
|    bigger elements.
 | |
| 
 | |
|    ``len(view)`` returns the total number of elements in the memoryview,
 | |
|    *view*.  The :class:`~memoryview.itemsize` attribute will give you the
 | |
|    number of bytes in a single element.
 | |
| 
 | |
|    A :class:`memoryview` supports slicing to expose its data.  Taking a single
 | |
|    index will return a single element as a :class:`bytes` object.  Full
 | |
|    slicing will result in a subview::
 | |
| 
 | |
|       >>> v = memoryview(b'abcefg')
 | |
|       >>> v[1]
 | |
|       b'b'
 | |
|       >>> v[-1]
 | |
|       b'g'
 | |
|       >>> v[1:4]
 | |
|       <memory at 0x77ab28>
 | |
|       >>> bytes(v[1:4])
 | |
|       b'bce'
 | |
| 
 | |
|    If the object the memoryview is over supports changing its data, the
 | |
|    memoryview supports slice assignment::
 | |
| 
 | |
|       >>> data = bytearray(b'abcefg')
 | |
|       >>> v = memoryview(data)
 | |
|       >>> v.readonly
 | |
|       False
 | |
|       >>> v[0] = b'z'
 | |
|       >>> data
 | |
|       bytearray(b'zbcefg')
 | |
|       >>> v[1:4] = b'123'
 | |
|       >>> data
 | |
|       bytearray(b'a123fg')
 | |
|       >>> v[2] = b'spam'
 | |
|       Traceback (most recent call last):
 | |
|       File "<stdin>", line 1, in <module>
 | |
|       ValueError: cannot modify size of memoryview object
 | |
| 
 | |
|    Notice how the size of the memoryview object cannot be changed.
 | |
| 
 | |
|    :class:`memoryview` has two methods:
 | |
| 
 | |
|    .. method:: tobytes()
 | |
| 
 | |
|       Return the data in the buffer as a bytestring.  This is equivalent to
 | |
|       calling the :class:`bytes` constructor on the memoryview. ::
 | |
| 
 | |
|          >>> m = memoryview(b"abc")
 | |
|          >>> m.tobytes()
 | |
|          b'abc'
 | |
|          >>> bytes(m)
 | |
|          b'abc'
 | |
| 
 | |
|    .. method:: tolist()
 | |
| 
 | |
|       Return the data in the buffer as a list of integers. ::
 | |
| 
 | |
|          >>> memoryview(b'abc').tolist()
 | |
|          [97, 98, 99]
 | |
| 
 | |
|    There are also several readonly attributes available:
 | |
| 
 | |
|    .. attribute:: format
 | |
| 
 | |
|       A string containing the format (in :mod:`struct` module style) for each
 | |
|       element in the view.  This defaults to ``'B'``, a simple bytestring.
 | |
| 
 | |
|    .. attribute:: itemsize
 | |
| 
 | |
|       The size in bytes of each element of the memoryview::
 | |
| 
 | |
|          >>> m = memoryview(array.array('H', [1,2,3]))
 | |
|          >>> m.itemsize
 | |
|          2
 | |
|          >>> m[0]
 | |
|          b'\x01\x00'
 | |
|          >>> len(m[0]) == m.itemsize
 | |
|          True
 | |
| 
 | |
|    .. attribute:: shape
 | |
| 
 | |
|       A tuple of integers the length of :attr:`ndim` giving the shape of the
 | |
|       memory as a N-dimensional array.
 | |
| 
 | |
|    .. attribute:: ndim
 | |
| 
 | |
|       An integer indicating how many dimensions of a multi-dimensional array the
 | |
|       memory represents.
 | |
| 
 | |
|    .. attribute:: strides
 | |
| 
 | |
|       A tuple of integers the length of :attr:`ndim` giving the size in bytes to
 | |
|       access each element for each dimension of the array.
 | |
| 
 | |
|    .. memoryview.suboffsets isn't documented because it only seems useful for C
 | |
| 
 | |
| 
 | |
| .. _typecontextmanager:
 | |
| 
 | |
| Context Manager Types
 | |
| =====================
 | |
| 
 | |
| .. index::
 | |
|    single: context manager
 | |
|    single: context management protocol
 | |
|    single: protocol; context management
 | |
| 
 | |
| Python's :keyword:`with` statement supports the concept of a runtime context
 | |
| defined by a context manager.  This is implemented using two separate methods
 | |
| that allow user-defined classes to define a runtime context that is entered
 | |
| before the statement body is executed and exited when the statement ends.
 | |
| 
 | |
| The :dfn:`context management protocol` consists of a pair of methods that need
 | |
| to be provided for a context manager object to define a runtime context:
 | |
| 
 | |
| 
 | |
| .. method:: contextmanager.__enter__()
 | |
| 
 | |
|    Enter the runtime context and return either this object or another object
 | |
|    related to the runtime context. The value returned by this method is bound to
 | |
|    the identifier in the :keyword:`as` clause of :keyword:`with` statements using
 | |
|    this context manager.
 | |
| 
 | |
|    An example of a context manager that returns itself is a file object. File
 | |
|    objects return themselves from __enter__() to allow :func:`open` to be used as
 | |
|    the context expression in a :keyword:`with` statement.
 | |
| 
 | |
|    An example of a context manager that returns a related object is the one
 | |
|    returned by :func:`decimal.localcontext`. These managers set the active
 | |
|    decimal context to a copy of the original decimal context and then return the
 | |
|    copy. This allows changes to be made to the current decimal context in the body
 | |
|    of the :keyword:`with` statement without affecting code outside the
 | |
|    :keyword:`with` statement.
 | |
| 
 | |
| 
 | |
| .. method:: contextmanager.__exit__(exc_type, exc_val, exc_tb)
 | |
| 
 | |
|    Exit the runtime context and return a Boolean flag indicating if any exception
 | |
|    that occurred should be suppressed. If an exception occurred while executing the
 | |
|    body of the :keyword:`with` statement, the arguments contain the exception type,
 | |
|    value and traceback information. Otherwise, all three arguments are ``None``.
 | |
| 
 | |
|    Returning a true value from this method will cause the :keyword:`with` statement
 | |
|    to suppress the exception and continue execution with the statement immediately
 | |
|    following the :keyword:`with` statement. Otherwise the exception continues
 | |
|    propagating after this method has finished executing. Exceptions that occur
 | |
|    during execution of this method will replace any exception that occurred in the
 | |
|    body of the :keyword:`with` statement.
 | |
| 
 | |
|    The exception passed in should never be reraised explicitly - instead, this
 | |
|    method should return a false value to indicate that the method completed
 | |
|    successfully and does not want to suppress the raised exception. This allows
 | |
|    context management code (such as ``contextlib.nested``) to easily detect whether
 | |
|    or not an :meth:`__exit__` method has actually failed.
 | |
| 
 | |
| Python defines several context managers to support easy thread synchronisation,
 | |
| prompt closure of files or other objects, and simpler manipulation of the active
 | |
| decimal arithmetic context. The specific types are not treated specially beyond
 | |
| their implementation of the context management protocol. See the
 | |
| :mod:`contextlib` module for some examples.
 | |
| 
 | |
| Python's :term:`generator`\s and the ``contextlib.contextmanager`` :term:`decorator`
 | |
| provide a convenient way to implement these protocols.  If a generator function is
 | |
| decorated with the ``contextlib.contextmanager`` decorator, it will return a
 | |
| context manager implementing the necessary :meth:`__enter__` and
 | |
| :meth:`__exit__` methods, rather than the iterator produced by an undecorated
 | |
| generator function.
 | |
| 
 | |
| Note that there is no specific slot for any of these methods in the type
 | |
| structure for Python objects in the Python/C API. Extension types wanting to
 | |
| define these methods must provide them as a normal Python accessible method.
 | |
| Compared to the overhead of setting up the runtime context, the overhead of a
 | |
| single class dictionary lookup is negligible.
 | |
| 
 | |
| 
 | |
| .. _typesother:
 | |
| 
 | |
| Other Built-in Types
 | |
| ====================
 | |
| 
 | |
| The interpreter supports several other kinds of objects. Most of these support
 | |
| only one or two operations.
 | |
| 
 | |
| 
 | |
| .. _typesmodules:
 | |
| 
 | |
| Modules
 | |
| -------
 | |
| 
 | |
| The only special operation on a module is attribute access: ``m.name``, where
 | |
| *m* is a module and *name* accesses a name defined in *m*'s symbol table.
 | |
| Module attributes can be assigned to.  (Note that the :keyword:`import`
 | |
| statement is not, strictly speaking, an operation on a module object; ``import
 | |
| foo`` does not require a module object named *foo* to exist, rather it requires
 | |
| an (external) *definition* for a module named *foo* somewhere.)
 | |
| 
 | |
| A special member of every module is :attr:`__dict__`. This is the dictionary
 | |
| containing the module's symbol table. Modifying this dictionary will actually
 | |
| change the module's symbol table, but direct assignment to the :attr:`__dict__`
 | |
| attribute is not possible (you can write ``m.__dict__['a'] = 1``, which defines
 | |
| ``m.a`` to be ``1``, but you can't write ``m.__dict__ = {}``).  Modifying
 | |
| :attr:`__dict__` directly is not recommended.
 | |
| 
 | |
| Modules built into the interpreter are written like this: ``<module 'sys'
 | |
| (built-in)>``.  If loaded from a file, they are written as ``<module 'os' from
 | |
| '/usr/local/lib/pythonX.Y/os.pyc'>``.
 | |
| 
 | |
| 
 | |
| .. _typesobjects:
 | |
| 
 | |
| Classes and Class Instances
 | |
| ---------------------------
 | |
| 
 | |
| See :ref:`objects` and :ref:`class` for these.
 | |
| 
 | |
| 
 | |
| .. _typesfunctions:
 | |
| 
 | |
| Functions
 | |
| ---------
 | |
| 
 | |
| Function objects are created by function definitions.  The only operation on a
 | |
| function object is to call it: ``func(argument-list)``.
 | |
| 
 | |
| There are really two flavors of function objects: built-in functions and
 | |
| user-defined functions.  Both support the same operation (to call the function),
 | |
| but the implementation is different, hence the different object types.
 | |
| 
 | |
| See :ref:`function` for more information.
 | |
| 
 | |
| 
 | |
| .. _typesmethods:
 | |
| 
 | |
| Methods
 | |
| -------
 | |
| 
 | |
| .. index:: object: method
 | |
| 
 | |
| Methods are functions that are called using the attribute notation. There are
 | |
| two flavors: built-in methods (such as :meth:`append` on lists) and class
 | |
| instance methods.  Built-in methods are described with the types that support
 | |
| them.
 | |
| 
 | |
| If you access a method (a function defined in a class namespace) through an
 | |
| instance, you get a special object: a :dfn:`bound method` (also called
 | |
| :dfn:`instance method`) object. When called, it will add the ``self`` argument
 | |
| to the argument list.  Bound methods have two special read-only attributes:
 | |
| ``m.__self__`` is the object on which the method operates, and ``m.__func__`` is
 | |
| the function implementing the method.  Calling ``m(arg-1, arg-2, ..., arg-n)``
 | |
| is completely equivalent to calling ``m.__func__(m.__self__, arg-1, arg-2, ...,
 | |
| arg-n)``.
 | |
| 
 | |
| Like function objects, bound method objects support getting arbitrary
 | |
| attributes.  However, since method attributes are actually stored on the
 | |
| underlying function object (``meth.__func__``), setting method attributes on
 | |
| bound methods is disallowed.  Attempting to set a method attribute results in a
 | |
| :exc:`TypeError` being raised.  In order to set a method attribute, you need to
 | |
| explicitly set it on the underlying function object::
 | |
| 
 | |
|    class C:
 | |
|        def method(self):
 | |
|            pass
 | |
| 
 | |
|    c = C()
 | |
|    c.method.__func__.whoami = 'my name is c'
 | |
| 
 | |
| See :ref:`types` for more information.
 | |
| 
 | |
| 
 | |
| .. _bltin-code-objects:
 | |
| 
 | |
| Code Objects
 | |
| ------------
 | |
| 
 | |
| .. index:: object: code
 | |
| 
 | |
| .. index::
 | |
|    builtin: compile
 | |
|    single: __code__ (function object attribute)
 | |
| 
 | |
| Code objects are used by the implementation to represent "pseudo-compiled"
 | |
| executable Python code such as a function body. They differ from function
 | |
| objects because they don't contain a reference to their global execution
 | |
| environment.  Code objects are returned by the built-in :func:`compile` function
 | |
| and can be extracted from function objects through their :attr:`__code__`
 | |
| attribute. See also the :mod:`code` module.
 | |
| 
 | |
| .. index::
 | |
|    builtin: exec
 | |
|    builtin: eval
 | |
| 
 | |
| A code object can be executed or evaluated by passing it (instead of a source
 | |
| string) to the :func:`exec` or :func:`eval`  built-in functions.
 | |
| 
 | |
| See :ref:`types` for more information.
 | |
| 
 | |
| 
 | |
| .. _bltin-type-objects:
 | |
| 
 | |
| Type Objects
 | |
| ------------
 | |
| 
 | |
| .. index::
 | |
|    builtin: type
 | |
|    module: types
 | |
| 
 | |
| Type objects represent the various object types.  An object's type is accessed
 | |
| by the built-in function :func:`type`.  There are no special operations on
 | |
| types.  The standard module :mod:`types` defines names for all standard built-in
 | |
| types.
 | |
| 
 | |
| Types are written like this: ``<class 'int'>``.
 | |
| 
 | |
| 
 | |
| .. _bltin-null-object:
 | |
| 
 | |
| The Null Object
 | |
| ---------------
 | |
| 
 | |
| This object is returned by functions that don't explicitly return a value.  It
 | |
| supports no special operations.  There is exactly one null object, named
 | |
| ``None`` (a built-in name).
 | |
| 
 | |
| It is written as ``None``.
 | |
| 
 | |
| 
 | |
| .. _bltin-ellipsis-object:
 | |
| 
 | |
| The Ellipsis Object
 | |
| -------------------
 | |
| 
 | |
| This object is commonly used by slicing (see :ref:`slicings`).  It supports no
 | |
| special operations.  There is exactly one ellipsis object, named
 | |
| :const:`Ellipsis` (a built-in name).
 | |
| 
 | |
| It is written as ``Ellipsis`` or ``...``.
 | |
| 
 | |
| 
 | |
| Boolean Values
 | |
| --------------
 | |
| 
 | |
| Boolean values are the two constant objects ``False`` and ``True``.  They are
 | |
| used to represent truth values (although other values can also be considered
 | |
| false or true).  In numeric contexts (for example when used as the argument to
 | |
| an arithmetic operator), they behave like the integers 0 and 1, respectively.
 | |
| The built-in function :func:`bool` can be used to cast any value to a Boolean,
 | |
| if the value can be interpreted as a truth value (see section Truth Value
 | |
| Testing above).
 | |
| 
 | |
| .. index::
 | |
|    single: False
 | |
|    single: True
 | |
|    pair: Boolean; values
 | |
| 
 | |
| They are written as ``False`` and ``True``, respectively.
 | |
| 
 | |
| 
 | |
| .. _typesinternal:
 | |
| 
 | |
| Internal Objects
 | |
| ----------------
 | |
| 
 | |
| See :ref:`types` for this information.  It describes stack frame objects,
 | |
| traceback objects, and slice objects.
 | |
| 
 | |
| 
 | |
| .. _specialattrs:
 | |
| 
 | |
| Special Attributes
 | |
| ==================
 | |
| 
 | |
| The implementation adds a few special read-only attributes to several object
 | |
| types, where they are relevant.  Some of these are not reported by the
 | |
| :func:`dir` built-in function.
 | |
| 
 | |
| 
 | |
| .. attribute:: object.__dict__
 | |
| 
 | |
|    A dictionary or other mapping object used to store an object's (writable)
 | |
|    attributes.
 | |
| 
 | |
| 
 | |
| .. attribute:: instance.__class__
 | |
| 
 | |
|    The class to which a class instance belongs.
 | |
| 
 | |
| 
 | |
| .. attribute:: class.__bases__
 | |
| 
 | |
|    The tuple of base classes of a class object.
 | |
| 
 | |
| 
 | |
| .. attribute:: class.__name__
 | |
| 
 | |
|    The name of the class or type.
 | |
| 
 | |
| 
 | |
| The following attributes are only supported by :term:`new-style class`\ es.
 | |
| 
 | |
| .. attribute:: class.__mro__
 | |
| 
 | |
|    This attribute is a tuple of classes that are considered when looking for
 | |
|    base classes during method resolution.
 | |
| 
 | |
| 
 | |
| .. method:: class.mro()
 | |
| 
 | |
|    This method can be overridden by a metaclass to customize the method
 | |
|    resolution order for its instances.  It is called at class instantiation, and
 | |
|    its result is stored in :attr:`__mro__`.
 | |
| 
 | |
| 
 | |
| .. method:: class.__subclasses__
 | |
| 
 | |
|    Each new-style class keeps a list of weak references to its immediate
 | |
|    subclasses.  This method returns a list of all those references still alive.
 | |
|    Example::
 | |
| 
 | |
|       >>> int.__subclasses__()
 | |
|       [<type 'bool'>]
 | |
| 
 | |
| 
 | |
| .. rubric:: Footnotes
 | |
| 
 | |
| .. [#] Additional information on these special methods may be found in the Python
 | |
|    Reference Manual (:ref:`customization`).
 | |
| 
 | |
| .. [#] As a consequence, the list ``[1, 2]`` is considered equal to ``[1.0, 2.0]``, and
 | |
|    similarly for tuples.
 | |
| 
 | |
| .. [#] They must have since the parser can't tell the type of the operands.
 | |
| 
 | |
| .. [#] To format only a tuple you should therefore provide a singleton tuple whose only
 | |
|    element is the tuple to be formatted.
 | 
