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      1 
      2 .. _built-in-funcs:
      3 
      4 Built-in Functions
      5 ==================
      6 
      7 The Python interpreter has a number of functions built into it that are always
      8 available.  They are listed here in alphabetical order.
      9 
     10 ===================  =================  ==================  =================  ====================
     11 ..                   ..                 Built-in Functions  ..                 ..
     12 ===================  =================  ==================  =================  ====================
     13 :func:`abs`          :func:`divmod`     :func:`input`       :func:`open`       :func:`staticmethod`
     14 :func:`all`          :func:`enumerate`  :func:`int`         :func:`ord`        :func:`str`
     15 :func:`any`          :func:`eval`       :func:`isinstance`  :func:`pow`        :func:`sum`
     16 :func:`basestring`   :func:`execfile`   :func:`issubclass`  :func:`print`      :func:`super`
     17 :func:`bin`          :func:`file`       :func:`iter`        :func:`property`   :func:`tuple`
     18 :func:`bool`         :func:`filter`     :func:`len`         :func:`range`      :func:`type`
     19 :func:`bytearray`    :func:`float`      :func:`list`        :func:`raw_input`  :func:`unichr`
     20 :func:`callable`     :func:`format`     :func:`locals`      :func:`reduce`     :func:`unicode`
     21 :func:`chr`          |func-frozenset|_  :func:`long`        :func:`reload`     :func:`vars`
     22 :func:`classmethod`  :func:`getattr`    :func:`map`         |func-repr|_       :func:`xrange`
     23 :func:`cmp`          :func:`globals`    :func:`max`         :func:`reversed`   :func:`zip`
     24 :func:`compile`      :func:`hasattr`    |func-memoryview|_  :func:`round`      :func:`__import__`
     25 :func:`complex`      :func:`hash`       :func:`min`         |func-set|_        ..
     26 :func:`delattr`      :func:`help`       :func:`next`        :func:`setattr`    ..
     27 |func-dict|_         :func:`hex`        :func:`object`      :func:`slice`      ..
     28 :func:`dir`          :func:`id`         :func:`oct`         :func:`sorted`     ..
     29 ===================  =================  ==================  =================  ====================
     30 
     31 In addition, there are other four built-in functions that are no longer
     32 considered essential: :func:`apply`, :func:`buffer`, :func:`coerce`, and
     33 :func:`intern`.  They are documented in the :ref:`non-essential-built-in-funcs`
     34 section.
     35 
     36 .. using :func:`dict` would create a link to another page, so local targets are
     37    used, with replacement texts to make the output in the table consistent
     38 
     39 .. |func-dict| replace:: ``dict()``
     40 .. |func-frozenset| replace:: ``frozenset()``
     41 .. |func-memoryview| replace:: ``memoryview()``
     42 .. |func-repr| replace:: ``repr()``
     43 .. |func-set| replace:: ``set()``
     44 
     45 
     46 .. function:: abs(x)
     47 
     48    Return the absolute value of a number.  The argument may be a plain or long
     49    integer or a floating point number.  If the argument is a complex number, its
     50    magnitude is returned.
     51 
     52 
     53 .. function:: all(iterable)
     54 
     55    Return ``True`` if all elements of the *iterable* are true (or if the iterable
     56    is empty).  Equivalent to::
     57 
     58       def all(iterable):
     59           for element in iterable:
     60               if not element:
     61                   return False
     62           return True
     63 
     64    .. versionadded:: 2.5
     65 
     66 
     67 .. function:: any(iterable)
     68 
     69    Return ``True`` if any element of the *iterable* is true.  If the iterable
     70    is empty, return ``False``.  Equivalent to::
     71 
     72       def any(iterable):
     73           for element in iterable:
     74               if element:
     75                   return True
     76           return False
     77 
     78    .. versionadded:: 2.5
     79 
     80 
     81 .. function:: basestring()
     82 
     83    This abstract type is the superclass for :class:`str` and :class:`unicode`. It
     84    cannot be called or instantiated, but it can be used to test whether an object
     85    is an instance of :class:`str` or :class:`unicode`. ``isinstance(obj,
     86    basestring)`` is equivalent to ``isinstance(obj, (str, unicode))``.
     87 
     88    .. versionadded:: 2.3
     89 
     90 
     91 .. function:: bin(x)
     92 
     93    Convert an integer number to a binary string. The result is a valid Python
     94    expression.  If *x* is not a Python :class:`int` object, it has to define an
     95    :meth:`__index__` method that returns an integer.
     96 
     97    .. versionadded:: 2.6
     98 
     99 
    100 .. class:: bool([x])
    101 
    102    Return a Boolean value, i.e. one of ``True`` or ``False``.  *x* is converted
    103    using the standard truth testing procedure.  If *x* is false or omitted, this
    104    returns :const:`False`; otherwise it returns :const:`True`. :class:`bool` is
    105    also a class, which is a subclass of :class:`int`. Class :class:`bool` cannot
    106    be subclassed further.  Its only instances are :const:`False` and
    107    :const:`True`.
    108 
    109    .. index:: pair: Boolean; type
    110 
    111    .. versionadded:: 2.2.1
    112 
    113    .. versionchanged:: 2.3
    114       If no argument is given, this function returns :const:`False`.
    115 
    116 
    117 .. class:: bytearray([source[, encoding[, errors]]])
    118 
    119    Return a new array of bytes.  The :class:`bytearray` class is a mutable
    120    sequence of integers in the range 0 <= x < 256.  It has most of the usual
    121    methods of mutable sequences, described in :ref:`typesseq-mutable`, as well
    122    as most methods that the :class:`str` type has, see :ref:`string-methods`.
    123 
    124    The optional *source* parameter can be used to initialize the array in a few
    125    different ways:
    126 
    127    * If it is *unicode*, you must also give the *encoding* (and optionally,
    128      *errors*) parameters; :func:`bytearray` then converts the unicode to
    129      bytes using :meth:`unicode.encode`.
    130 
    131    * If it is an *integer*, the array will have that size and will be
    132      initialized with null bytes.
    133 
    134    * If it is an object conforming to the *buffer* interface, a read-only buffer
    135      of the object will be used to initialize the bytes array.
    136 
    137    * If it is an *iterable*, it must be an iterable of integers in the range
    138      ``0 <= x < 256``, which are used as the initial contents of the array.
    139 
    140    Without an argument, an array of size 0 is created.
    141 
    142    .. versionadded:: 2.6
    143 
    144 
    145 .. function:: callable(object)
    146 
    147    Return :const:`True` if the *object* argument appears callable,
    148    :const:`False` if not.  If this
    149    returns true, it is still possible that a call fails, but if it is false,
    150    calling *object* will never succeed.  Note that classes are callable (calling a
    151    class returns a new instance); class instances are callable if they have a
    152    :meth:`__call__` method.
    153 
    154 
    155 .. function:: chr(i)
    156 
    157    Return a string of one character whose ASCII code is the integer *i*.  For
    158    example, ``chr(97)`` returns the string ``'a'``. This is the inverse of
    159    :func:`ord`.  The argument must be in the range [0..255], inclusive;
    160    :exc:`ValueError` will be raised if *i* is outside that range. See
    161    also :func:`unichr`.
    162 
    163 
    164 .. function:: classmethod(function)
    165 
    166    Return a class method for *function*.
    167 
    168    A class method receives the class as implicit first argument, just like an
    169    instance method receives the instance. To declare a class method, use this
    170    idiom::
    171 
    172       class C(object):
    173           @classmethod
    174           def f(cls, arg1, arg2, ...):
    175               ...
    176 
    177    The ``@classmethod`` form is a function :term:`decorator` -- see the description
    178    of function definitions in :ref:`function` for details.
    179 
    180    It can be called either on the class (such as ``C.f()``) or on an instance (such
    181    as ``C().f()``).  The instance is ignored except for its class. If a class
    182    method is called for a derived class, the derived class object is passed as the
    183    implied first argument.
    184 
    185    Class methods are different than C++ or Java static methods. If you want those,
    186    see :func:`staticmethod` in this section.
    187 
    188    For more information on class methods, consult the documentation on the standard
    189    type hierarchy in :ref:`types`.
    190 
    191    .. versionadded:: 2.2
    192 
    193    .. versionchanged:: 2.4
    194       Function decorator syntax added.
    195 
    196 
    197 .. function:: cmp(x, y)
    198 
    199    Compare the two objects *x* and *y* and return an integer according to the
    200    outcome.  The return value is negative if ``x < y``, zero if ``x == y`` and
    201    strictly positive if ``x > y``.
    202 
    203 
    204 .. function:: compile(source, filename, mode[, flags[, dont_inherit]])
    205 
    206    Compile the *source* into a code or AST object.  Code objects can be executed
    207    by an :keyword:`exec` statement or evaluated by a call to :func:`eval`.
    208    *source* can either be a Unicode string, a *Latin-1* encoded string or an
    209    AST object.
    210    Refer to the :mod:`ast` module documentation for information on how to work
    211    with AST objects.
    212 
    213    The *filename* argument should give the file from which the code was read;
    214    pass some recognizable value if it wasn't read from a file (``'<string>'`` is
    215    commonly used).
    216 
    217    The *mode* argument specifies what kind of code must be compiled; it can be
    218    ``'exec'`` if *source* consists of a sequence of statements, ``'eval'`` if it
    219    consists of a single expression, or ``'single'`` if it consists of a single
    220    interactive statement (in the latter case, expression statements that
    221    evaluate to something other than ``None`` will be printed).
    222 
    223    The optional arguments *flags* and *dont_inherit* control which future
    224    statements (see :pep:`236`) affect the compilation of *source*.  If neither
    225    is present (or both are zero) the code is compiled with those future
    226    statements that are in effect in the code that is calling :func:`compile`.  If the
    227    *flags* argument is given and *dont_inherit* is not (or is zero) then the
    228    future statements specified by the *flags* argument are used in addition to
    229    those that would be used anyway. If *dont_inherit* is a non-zero integer then
    230    the *flags* argument is it -- the future statements in effect around the call
    231    to compile are ignored.
    232 
    233    Future statements are specified by bits which can be bitwise ORed together to
    234    specify multiple statements.  The bitfield required to specify a given feature
    235    can be found as the :attr:`~__future__._Feature.compiler_flag` attribute on
    236    the :class:`~__future__._Feature` instance in the :mod:`__future__` module.
    237 
    238    This function raises :exc:`SyntaxError` if the compiled source is invalid,
    239    and :exc:`TypeError` if the source contains null bytes.
    240 
    241    If you want to parse Python code into its AST representation, see
    242    :func:`ast.parse`.
    243 
    244    .. note::
    245 
    246       When compiling a string with multi-line code in ``'single'`` or
    247       ``'eval'`` mode, input must be terminated by at least one newline
    248       character.  This is to facilitate detection of incomplete and complete
    249       statements in the :mod:`code` module.
    250 
    251    .. versionchanged:: 2.3
    252       The *flags* and *dont_inherit* arguments were added.
    253 
    254    .. versionchanged:: 2.6
    255       Support for compiling AST objects.
    256 
    257    .. versionchanged:: 2.7
    258       Allowed use of Windows and Mac newlines.  Also input in ``'exec'`` mode
    259       does not have to end in a newline anymore.
    260 
    261 
    262 .. class:: complex([real[, imag]])
    263 
    264    Return a complex number with the value *real* + *imag*\*1j or convert a string or
    265    number to a complex number.  If the first parameter is a string, it will be
    266    interpreted as a complex number and the function must be called without a second
    267    parameter.  The second parameter can never be a string. Each argument may be any
    268    numeric type (including complex). If *imag* is omitted, it defaults to zero and
    269    the function serves as a numeric conversion function like :func:`int`,
    270    :func:`long` and :func:`float`.  If both arguments are omitted, returns ``0j``.
    271 
    272    .. note::
    273 
    274       When converting from a string, the string must not contain whitespace
    275       around the central ``+`` or ``-`` operator.  For example,
    276       ``complex('1+2j')`` is fine, but ``complex('1 + 2j')`` raises
    277       :exc:`ValueError`.
    278 
    279    The complex type is described in :ref:`typesnumeric`.
    280 
    281 
    282 .. function:: delattr(object, name)
    283 
    284    This is a relative of :func:`setattr`.  The arguments are an object and a
    285    string.  The string must be the name of one of the object's attributes.  The
    286    function deletes the named attribute, provided the object allows it.  For
    287    example, ``delattr(x, 'foobar')`` is equivalent to ``del x.foobar``.
    288 
    289 
    290 .. _func-dict:
    291 .. class:: dict(**kwarg)
    292            dict(mapping, **kwarg)
    293            dict(iterable, **kwarg)
    294    :noindex:
    295 
    296    Create a new dictionary.  The :class:`dict` object is the dictionary class.
    297    See :class:`dict` and :ref:`typesmapping` for documentation about this class.
    298 
    299    For other containers see the built-in :class:`list`, :class:`set`, and
    300    :class:`tuple` classes, as well as the :mod:`collections` module.
    301 
    302 
    303 .. function:: dir([object])
    304 
    305    Without arguments, return the list of names in the current local scope.  With an
    306    argument, attempt to return a list of valid attributes for that object.
    307 
    308    If the object has a method named :meth:`__dir__`, this method will be called and
    309    must return the list of attributes. This allows objects that implement a custom
    310    :func:`__getattr__` or :func:`__getattribute__` function to customize the way
    311    :func:`dir` reports their attributes.
    312 
    313    If the object does not provide :meth:`__dir__`, the function tries its best to
    314    gather information from the object's :attr:`~object.__dict__` attribute, if defined, and
    315    from its type object.  The resulting list is not necessarily complete, and may
    316    be inaccurate when the object has a custom :func:`__getattr__`.
    317 
    318    The default :func:`dir` mechanism behaves differently with different types of
    319    objects, as it attempts to produce the most relevant, rather than complete,
    320    information:
    321 
    322    * If the object is a module object, the list contains the names of the module's
    323      attributes.
    324 
    325    * If the object is a type or class object, the list contains the names of its
    326      attributes, and recursively of the attributes of its bases.
    327 
    328    * Otherwise, the list contains the object's attributes' names, the names of its
    329      class's attributes, and recursively of the attributes of its class's base
    330      classes.
    331 
    332    The resulting list is sorted alphabetically.  For example:
    333 
    334       >>> import struct
    335       >>> dir()   # show the names in the module namespace
    336       ['__builtins__', '__doc__', '__name__', 'struct']
    337       >>> dir(struct)   # show the names in the struct module
    338       ['Struct', '__builtins__', '__doc__', '__file__', '__name__',
    339        '__package__', '_clearcache', 'calcsize', 'error', 'pack', 'pack_into',
    340        'unpack', 'unpack_from']
    341       >>> class Shape(object):
    342               def __dir__(self):
    343                   return ['area', 'perimeter', 'location']
    344       >>> s = Shape()
    345       >>> dir(s)
    346       ['area', 'perimeter', 'location']
    347 
    348    .. note::
    349 
    350       Because :func:`dir` is supplied primarily as a convenience for use at an
    351       interactive prompt, it tries to supply an interesting set of names more than it
    352       tries to supply a rigorously or consistently defined set of names, and its
    353       detailed behavior may change across releases.  For example, metaclass attributes
    354       are not in the result list when the argument is a class.
    355 
    356 
    357 .. function:: divmod(a, b)
    358 
    359    Take two (non complex) numbers as arguments and return a pair of numbers
    360    consisting of their quotient and remainder when using long division.  With mixed
    361    operand types, the rules for binary arithmetic operators apply.  For plain and
    362    long integers, the result is the same as ``(a // b, a % b)``. For floating point
    363    numbers the result is ``(q, a % b)``, where *q* is usually ``math.floor(a / b)``
    364    but may be 1 less than that.  In any case ``q * b + a % b`` is very close to
    365    *a*, if ``a % b`` is non-zero it has the same sign as *b*, and ``0 <= abs(a % b)
    366    < abs(b)``.
    367 
    368    .. versionchanged:: 2.3
    369       Using :func:`divmod` with complex numbers is deprecated.
    370 
    371 
    372 .. function:: enumerate(sequence, start=0)
    373 
    374    Return an enumerate object. *sequence* must be a sequence, an
    375    :term:`iterator`, or some other object which supports iteration.  The
    376    :meth:`!next` method of the iterator returned by :func:`enumerate` returns a
    377    tuple containing a count (from *start* which defaults to 0) and the
    378    values obtained from iterating over *sequence*::
    379 
    380       >>> seasons = ['Spring', 'Summer', 'Fall', 'Winter']
    381       >>> list(enumerate(seasons))
    382       [(0, 'Spring'), (1, 'Summer'), (2, 'Fall'), (3, 'Winter')]
    383       >>> list(enumerate(seasons, start=1))
    384       [(1, 'Spring'), (2, 'Summer'), (3, 'Fall'), (4, 'Winter')]
    385 
    386    Equivalent to::
    387 
    388       def enumerate(sequence, start=0):
    389           n = start
    390           for elem in sequence:
    391               yield n, elem
    392               n += 1
    393 
    394    .. versionadded:: 2.3
    395    .. versionchanged:: 2.6
    396       The *start* parameter was added.
    397 
    398 
    399 .. function:: eval(expression[, globals[, locals]])
    400 
    401    The arguments are a Unicode or *Latin-1* encoded string and optional
    402    globals and locals.  If provided, *globals* must be a dictionary.
    403    If provided, *locals* can be any mapping object.
    404 
    405    .. versionchanged:: 2.4
    406       formerly *locals* was required to be a dictionary.
    407 
    408    The *expression* argument is parsed and evaluated as a Python expression
    409    (technically speaking, a condition list) using the *globals* and *locals*
    410    dictionaries as global and local namespace.  If the *globals* dictionary is
    411    present and lacks '__builtins__', the current globals are copied into *globals*
    412    before *expression* is parsed.  This means that *expression* normally has full
    413    access to the standard :mod:`__builtin__` module and restricted environments are
    414    propagated.  If the *locals* dictionary is omitted it defaults to the *globals*
    415    dictionary.  If both dictionaries are omitted, the expression is executed in the
    416    environment where :func:`eval` is called.  The return value is the result of
    417    the evaluated expression. Syntax errors are reported as exceptions.  Example:
    418 
    419       >>> x = 1
    420       >>> print eval('x+1')
    421       2
    422 
    423    This function can also be used to execute arbitrary code objects (such as
    424    those created by :func:`compile`).  In this case pass a code object instead
    425    of a string.  If the code object has been compiled with ``'exec'`` as the
    426    *mode* argument, :func:`eval`\'s return value will be ``None``.
    427 
    428    Hints: dynamic execution of statements is supported by the :keyword:`exec`
    429    statement.  Execution of statements from a file is supported by the
    430    :func:`execfile` function.  The :func:`globals` and :func:`locals` functions
    431    returns the current global and local dictionary, respectively, which may be
    432    useful to pass around for use by :func:`eval` or :func:`execfile`.
    433 
    434    See :func:`ast.literal_eval` for a function that can safely evaluate strings
    435    with expressions containing only literals.
    436 
    437 
    438 .. function:: execfile(filename[, globals[, locals]])
    439 
    440    This function is similar to the :keyword:`exec` statement, but parses a file
    441    instead of a string.  It is different from the :keyword:`import` statement in
    442    that it does not use the module administration --- it reads the file
    443    unconditionally and does not create a new module. [#]_
    444 
    445    The arguments are a file name and two optional dictionaries.  The file is parsed
    446    and evaluated as a sequence of Python statements (similarly to a module) using
    447    the *globals* and *locals* dictionaries as global and local namespace. If
    448    provided, *locals* can be any mapping object.  Remember that at module level,
    449    globals and locals are the same dictionary. If two separate objects are
    450    passed as *globals* and *locals*, the code will be executed as if it were
    451    embedded in a class definition.
    452 
    453    .. versionchanged:: 2.4
    454       formerly *locals* was required to be a dictionary.
    455 
    456    If the *locals* dictionary is omitted it defaults to the *globals* dictionary.
    457    If both dictionaries are omitted, the expression is executed in the environment
    458    where :func:`execfile` is called.  The return value is ``None``.
    459 
    460    .. note::
    461 
    462       The default *locals* act as described for function :func:`locals` below:
    463       modifications to the default *locals* dictionary should not be attempted.  Pass
    464       an explicit *locals* dictionary if you need to see effects of the code on
    465       *locals* after function :func:`execfile` returns.  :func:`execfile` cannot be
    466       used reliably to modify a function's locals.
    467 
    468 
    469 .. function:: file(name[, mode[, buffering]])
    470 
    471    Constructor function for the :class:`file` type, described further in section
    472    :ref:`bltin-file-objects`.  The constructor's arguments are the same as those
    473    of the :func:`open` built-in function described below.
    474 
    475    When opening a file, it's preferable to use :func:`open` instead of  invoking
    476    this constructor directly.  :class:`file` is more suited to type testing (for
    477    example, writing ``isinstance(f, file)``).
    478 
    479    .. versionadded:: 2.2
    480 
    481 
    482 .. function:: filter(function, iterable)
    483 
    484    Construct a list from those elements of *iterable* for which *function* returns
    485    true.  *iterable* may be either a sequence, a container which supports
    486    iteration, or an iterator.  If *iterable* is a string or a tuple, the result
    487    also has that type; otherwise it is always a list.  If *function* is ``None``,
    488    the identity function is assumed, that is, all elements of *iterable* that are
    489    false are removed.
    490 
    491    Note that ``filter(function, iterable)`` is equivalent to ``[item for item in
    492    iterable if function(item)]`` if function is not ``None`` and ``[item for item
    493    in iterable if item]`` if function is ``None``.
    494 
    495    See :func:`itertools.ifilter` and :func:`itertools.ifilterfalse` for iterator
    496    versions of this function, including a variation that filters for elements
    497    where the *function* returns false.
    498 
    499 
    500 .. class:: float([x])
    501 
    502    Return a floating point number constructed from a number or string *x*.
    503 
    504    If the argument is a string, it
    505    must contain a possibly signed decimal or floating point number, possibly
    506    embedded in whitespace. The argument may also be [+|-]nan or [+|-]inf.
    507    Otherwise, the argument may be a plain or long integer
    508    or a floating point number, and a floating point number with the same value
    509    (within Python's floating point precision) is returned.  If no argument is
    510    given, returns ``0.0``.
    511 
    512    .. note::
    513 
    514       .. index::
    515          single: NaN
    516          single: Infinity
    517 
    518       When passing in a string, values for NaN and Infinity may be returned, depending
    519       on the underlying C library.  Float accepts the strings nan, inf and -inf for
    520       NaN and positive or negative infinity. The case and a leading + are ignored as
    521       well as a leading - is ignored for NaN. Float always represents NaN and infinity
    522       as nan, inf or -inf.
    523 
    524    The float type is described in :ref:`typesnumeric`.
    525 
    526 
    527 .. function:: format(value[, format_spec])
    528 
    529    .. index::
    530       pair: str; format
    531       single: __format__
    532 
    533    Convert a *value* to a "formatted" representation, as controlled by
    534    *format_spec*.  The interpretation of *format_spec* will depend on the type
    535    of the *value* argument, however there is a standard formatting syntax that
    536    is used by most built-in types: :ref:`formatspec`.
    537 
    538    .. note::
    539 
    540       ``format(value, format_spec)`` merely calls
    541       ``value.__format__(format_spec)``.
    542 
    543    .. versionadded:: 2.6
    544 
    545 
    546 .. _func-frozenset:
    547 .. class:: frozenset([iterable])
    548    :noindex:
    549 
    550    Return a new :class:`frozenset` object, optionally with elements taken from
    551    *iterable*.  ``frozenset`` is a built-in class.  See :class:`frozenset` and
    552    :ref:`types-set` for documentation about this class.
    553 
    554    For other containers see the built-in :class:`set`, :class:`list`,
    555    :class:`tuple`, and :class:`dict` classes, as well as the :mod:`collections`
    556    module.
    557 
    558    .. versionadded:: 2.4
    559 
    560 
    561 .. function:: getattr(object, name[, default])
    562 
    563    Return the value of the named attribute of *object*.  *name* must be a string.
    564    If the string is the name of one of the object's attributes, the result is the
    565    value of that attribute.  For example, ``getattr(x, 'foobar')`` is equivalent to
    566    ``x.foobar``.  If the named attribute does not exist, *default* is returned if
    567    provided, otherwise :exc:`AttributeError` is raised.
    568 
    569 
    570 .. function:: globals()
    571 
    572    Return a dictionary representing the current global symbol table. This is always
    573    the dictionary of the current module (inside a function or method, this is the
    574    module where it is defined, not the module from which it is called).
    575 
    576 
    577 .. function:: hasattr(object, name)
    578 
    579    The arguments are an object and a string.  The result is ``True`` if the string
    580    is the name of one of the object's attributes, ``False`` if not. (This is
    581    implemented by calling ``getattr(object, name)`` and seeing whether it raises an
    582    exception or not.)
    583 
    584 
    585 .. function:: hash(object)
    586 
    587    Return the hash value of the object (if it has one).  Hash values are integers.
    588    They are used to quickly compare dictionary keys during a dictionary lookup.
    589    Numeric values that compare equal have the same hash value (even if they are of
    590    different types, as is the case for 1 and 1.0).
    591 
    592 
    593 .. function:: help([object])
    594 
    595    Invoke the built-in help system.  (This function is intended for interactive
    596    use.)  If no argument is given, the interactive help system starts on the
    597    interpreter console.  If the argument is a string, then the string is looked up
    598    as the name of a module, function, class, method, keyword, or documentation
    599    topic, and a help page is printed on the console.  If the argument is any other
    600    kind of object, a help page on the object is generated.
    601 
    602    This function is added to the built-in namespace by the :mod:`site` module.
    603 
    604    .. versionadded:: 2.2
    605 
    606 
    607 .. function:: hex(x)
    608 
    609    Convert an integer number (of any size) to a lowercase hexadecimal string
    610    prefixed with "0x", for example:
    611 
    612       >>> hex(255)
    613       '0xff'
    614       >>> hex(-42)
    615       '-0x2a'
    616       >>> hex(1L)
    617       '0x1L'
    618 
    619    If x is not a Python :class:`int` or :class:`long` object, it has to
    620    define an __index__() method that returns an integer.
    621 
    622    See also :func:`int` for converting a hexadecimal string to an
    623    integer using a base of 16.
    624 
    625    .. note::
    626 
    627       To obtain a hexadecimal string representation for a float, use the
    628       :meth:`float.hex` method.
    629 
    630    .. versionchanged:: 2.4
    631       Formerly only returned an unsigned literal.
    632 
    633 
    634 .. function:: id(object)
    635 
    636    Return the "identity" of an object.  This is an integer (or long integer) which
    637    is guaranteed to be unique and constant for this object during its lifetime.
    638    Two objects with non-overlapping lifetimes may have the same :func:`id`
    639    value.
    640 
    641    .. impl-detail:: This is the address of the object in memory.
    642 
    643 
    644 .. function:: input([prompt])
    645 
    646    Equivalent to ``eval(raw_input(prompt))``.
    647 
    648    This function does not catch user errors. If the input is not syntactically
    649    valid, a :exc:`SyntaxError` will be raised. Other exceptions may be raised if
    650    there is an error during evaluation.
    651 
    652    If the :mod:`readline` module was loaded, then :func:`input` will use it to
    653    provide elaborate line editing and history features.
    654 
    655    Consider using the :func:`raw_input` function for general input from users.
    656 
    657 
    658 .. class:: int(x=0)
    659            int(x, base=10)
    660 
    661    Return an integer object constructed from a number or string *x*, or return ``0`` if no
    662    arguments are given.  If *x* is a number, it can be a plain integer, a long
    663    integer, or a floating point number.  If *x* is floating point, the conversion
    664    truncates towards zero.  If the argument is outside the integer range, the
    665    function returns a long object instead.
    666 
    667    If *x* is not a number or if *base* is given, then *x* must be a string or
    668    Unicode object representing an :ref:`integer literal <integers>` in radix
    669    *base*.  Optionally, the literal can be
    670    preceded by ``+`` or ``-`` (with no space in between) and surrounded by
    671    whitespace.  A base-n literal consists of the digits 0 to n-1, with ``a``
    672    to ``z`` (or ``A`` to ``Z``) having
    673    values 10 to 35.  The default *base* is 10. The allowed values are 0 and 2--36.
    674    Base-2, -8, and -16 literals can be optionally prefixed with ``0b``/``0B``,
    675    ``0o``/``0O``/``0``, or ``0x``/``0X``, as with integer literals in code.
    676    Base 0 means to interpret the string exactly as an integer literal, so that
    677    the actual base is 2, 8, 10, or 16.
    678 
    679    The integer type is described in :ref:`typesnumeric`.
    680 
    681 
    682 .. function:: isinstance(object, classinfo)
    683 
    684    Return true if the *object* argument is an instance of the *classinfo* argument,
    685    or of a (direct, indirect or :term:`virtual <abstract base class>`) subclass
    686    thereof.  Also return true if *classinfo*
    687    is a type object (new-style class) and *object* is an object of that type or of
    688    a (direct, indirect or :term:`virtual <abstract base class>`) subclass
    689    thereof.  If *object* is not a class instance or
    690    an object of the given type, the function always returns false.
    691    If *classinfo* is a tuple of class or type objects (or recursively, other
    692    such tuples), return true if *object* is an instance of any of the classes
    693    or types.  If *classinfo* is not a class, type, or tuple of classes, types,
    694    and such tuples, a :exc:`TypeError` exception is raised.
    695 
    696    .. versionchanged:: 2.2
    697       Support for a tuple of type information was added.
    698 
    699 
    700 .. function:: issubclass(class, classinfo)
    701 
    702    Return true if *class* is a subclass (direct, indirect or :term:`virtual
    703    <abstract base class>`) of *classinfo*.  A
    704    class is considered a subclass of itself. *classinfo* may be a tuple of class
    705    objects, in which case every entry in *classinfo* will be checked. In any other
    706    case, a :exc:`TypeError` exception is raised.
    707 
    708    .. versionchanged:: 2.3
    709       Support for a tuple of type information was added.
    710 
    711 
    712 .. function:: iter(o[, sentinel])
    713 
    714    Return an :term:`iterator` object.  The first argument is interpreted very differently
    715    depending on the presence of the second argument. Without a second argument, *o*
    716    must be a collection object which supports the iteration protocol (the
    717    :meth:`__iter__` method), or it must support the sequence protocol (the
    718    :meth:`__getitem__` method with integer arguments starting at ``0``).  If it
    719    does not support either of those protocols, :exc:`TypeError` is raised. If the
    720    second argument, *sentinel*, is given, then *o* must be a callable object.  The
    721    iterator created in this case will call *o* with no arguments for each call to
    722    its :meth:`~iterator.next` method; if the value returned is equal to *sentinel*,
    723    :exc:`StopIteration` will be raised, otherwise the value will be returned.
    724 
    725    One useful application of the second form of :func:`iter` is to read lines of
    726    a file until a certain line is reached.  The following example reads a file
    727    until the :meth:`~io.TextIOBase.readline` method returns an empty string::
    728 
    729       with open('mydata.txt') as fp:
    730           for line in iter(fp.readline, ''):
    731               process_line(line)
    732 
    733    .. versionadded:: 2.2
    734 
    735 
    736 .. function:: len(s)
    737 
    738    Return the length (the number of items) of an object.  The argument may be a
    739    sequence (such as a string, bytes, tuple, list, or range) or a collection
    740    (such as a dictionary, set, or frozen set).
    741 
    742 
    743 .. class:: list([iterable])
    744 
    745    Return a list whose items are the same and in the same order as *iterable*'s
    746    items.  *iterable* may be either a sequence, a container that supports
    747    iteration, or an iterator object.  If *iterable* is already a list, a copy is
    748    made and returned, similar to ``iterable[:]``.  For instance, ``list('abc')``
    749    returns ``['a', 'b', 'c']`` and ``list( (1, 2, 3) )`` returns ``[1, 2, 3]``.  If
    750    no argument is given, returns a new empty list, ``[]``.
    751 
    752    :class:`list` is a mutable sequence type, as documented in
    753    :ref:`typesseq`. For other containers see the built in :class:`dict`,
    754    :class:`set`, and :class:`tuple` classes, and the :mod:`collections` module.
    755 
    756 
    757 .. function:: locals()
    758 
    759    Update and return a dictionary representing the current local symbol table.
    760    Free variables are returned by :func:`locals` when it is called in function
    761    blocks, but not in class blocks.
    762 
    763    .. note::
    764 
    765       The contents of this dictionary should not be modified; changes may not
    766       affect the values of local and free variables used by the interpreter.
    767 
    768 
    769 .. class:: long(x=0)
    770            long(x, base=10)
    771 
    772    Return a long integer object constructed from a string or number *x*.
    773    If the argument is a string, it
    774    must contain a possibly signed number of arbitrary size, possibly embedded in
    775    whitespace. The *base* argument is interpreted in the same way as for
    776    :func:`int`, and may only be given when *x* is a string. Otherwise, the argument
    777    may be a plain or long integer or a floating point number, and a long integer
    778    with the same value is returned.    Conversion of floating point numbers to
    779    integers truncates (towards zero).  If no arguments are given, returns ``0L``.
    780 
    781    The long type is described in :ref:`typesnumeric`.
    782 
    783 
    784 .. function:: map(function, iterable, ...)
    785 
    786    Apply *function* to every item of *iterable* and return a list of the results.
    787    If additional *iterable* arguments are passed, *function* must take that many
    788    arguments and is applied to the items from all iterables in parallel.  If one
    789    iterable is shorter than another it is assumed to be extended with ``None``
    790    items.  If *function* is ``None``, the identity function is assumed; if there
    791    are multiple arguments, :func:`map` returns a list consisting of tuples
    792    containing the corresponding items from all iterables (a kind of transpose
    793    operation).  The *iterable* arguments may be a sequence  or any iterable object;
    794    the result is always a list.
    795 
    796 
    797 .. function:: max(iterable[, key])
    798               max(arg1, arg2, *args[, key])
    799 
    800    Return the largest item in an iterable or the largest of two or more
    801    arguments.
    802 
    803    If one positional argument is provided, *iterable* must be a non-empty
    804    iterable (such as a non-empty string, tuple or list).  The largest item
    805    in the iterable is returned.  If two or more positional arguments are
    806    provided, the largest of the positional arguments is returned.
    807 
    808    The optional *key* argument specifies a one-argument ordering function like that
    809    used for :meth:`list.sort`.  The *key* argument, if supplied, must be in keyword
    810    form (for example, ``max(a,b,c,key=func)``).
    811 
    812    .. versionchanged:: 2.5
    813       Added support for the optional *key* argument.
    814 
    815 .. _func-memoryview:
    816 .. function:: memoryview(obj)
    817    :noindex:
    818 
    819    Return a "memory view" object created from the given argument.  See
    820    :ref:`typememoryview` for more information.
    821 
    822 
    823 .. function:: min(iterable[, key])
    824               min(arg1, arg2, *args[, key])
    825 
    826    Return the smallest item in an iterable or the smallest of two or more
    827    arguments.
    828 
    829    If one positional argument is provided, *iterable* must be a non-empty
    830    iterable (such as a non-empty string, tuple or list).  The smallest item
    831    in the iterable is returned.  If two or more positional arguments are
    832    provided, the smallest of the positional arguments is returned.
    833 
    834    The optional *key* argument specifies a one-argument ordering function like that
    835    used for :meth:`list.sort`.  The *key* argument, if supplied, must be in keyword
    836    form (for example, ``min(a,b,c,key=func)``).
    837 
    838    .. versionchanged:: 2.5
    839       Added support for the optional *key* argument.
    840 
    841 
    842 .. function:: next(iterator[, default])
    843 
    844    Retrieve the next item from the *iterator* by calling its
    845    :meth:`~iterator.next` method.  If *default* is given, it is returned if the
    846    iterator is exhausted, otherwise :exc:`StopIteration` is raised.
    847 
    848    .. versionadded:: 2.6
    849 
    850 
    851 .. class:: object()
    852 
    853    Return a new featureless object.  :class:`object` is a base for all new style
    854    classes.  It has the methods that are common to all instances of new style
    855    classes.
    856 
    857    .. versionadded:: 2.2
    858 
    859    .. versionchanged:: 2.3
    860       This function does not accept any arguments. Formerly, it accepted arguments but
    861       ignored them.
    862 
    863 
    864 .. function:: oct(x)
    865 
    866    Convert an integer number (of any size) to an octal string.  The result is a
    867    valid Python expression.
    868 
    869    .. versionchanged:: 2.4
    870       Formerly only returned an unsigned literal.
    871 
    872 
    873 .. function:: open(name[, mode[, buffering]])
    874 
    875    Open a file, returning an object of the :class:`file` type described in
    876    section :ref:`bltin-file-objects`.  If the file cannot be opened,
    877    :exc:`IOError` is raised.  When opening a file, it's preferable to use
    878    :func:`open` instead of invoking the :class:`file` constructor directly.
    879 
    880    The first two arguments are the same as for ``stdio``'s :c:func:`fopen`:
    881    *name* is the file name to be opened, and *mode* is a string indicating how
    882    the file is to be opened.
    883 
    884    The most commonly-used values of *mode* are ``'r'`` for reading, ``'w'`` for
    885    writing (truncating the file if it already exists), and ``'a'`` for appending
    886    (which on *some* Unix systems means that *all* writes append to the end of the
    887    file regardless of the current seek position).  If *mode* is omitted, it
    888    defaults to ``'r'``.  The default is to use text mode, which may convert
    889    ``'\n'`` characters to a platform-specific representation on writing and back
    890    on reading.  Thus, when opening a binary file, you should append ``'b'`` to
    891    the *mode* value to open the file in binary mode, which will improve
    892    portability.  (Appending ``'b'`` is useful even on systems that don't treat
    893    binary and text files differently, where it serves as documentation.)  See below
    894    for more possible values of *mode*.
    895 
    896    .. index::
    897       single: line-buffered I/O
    898       single: unbuffered I/O
    899       single: buffer size, I/O
    900       single: I/O control; buffering
    901 
    902    The optional *buffering* argument specifies the file's desired buffer size: 0
    903    means unbuffered, 1 means line buffered, any other positive value means use a
    904    buffer of (approximately) that size (in bytes).  A negative *buffering* means
    905    to use the system default, which is usually line buffered for tty devices and
    906    fully buffered for other files.  If omitted, the system default is used. [#]_
    907 
    908    Modes ``'r+'``, ``'w+'`` and ``'a+'`` open the file for updating (reading and writing);
    909    note that ``'w+'`` truncates the file.  Append ``'b'`` to the mode to open the file in
    910    binary mode, on systems that differentiate between binary and text files; on
    911    systems that don't have this distinction, adding the ``'b'`` has no effect.
    912 
    913    .. index::
    914       single: universal newlines; open() built-in function
    915 
    916    In addition to the standard :c:func:`fopen` values *mode* may be ``'U'`` or
    917    ``'rU'``.  Python is usually built with :term:`universal newlines` support;
    918    supplying ``'U'`` opens the file as a text file, but lines may be terminated
    919    by any of the following: the Unix end-of-line convention ``'\n'``,  the
    920    Macintosh convention ``'\r'``, or the Windows convention ``'\r\n'``. All of
    921    these external representations are seen as ``'\n'`` by the Python program.
    922    If Python is built without universal newlines support a *mode* with ``'U'``
    923    is the same as normal text mode.  Note that file objects so opened also have
    924    an attribute called :attr:`newlines` which has a value of ``None`` (if no
    925    newlines have yet been seen), ``'\n'``, ``'\r'``, ``'\r\n'``, or a tuple
    926    containing all the newline types seen.
    927 
    928    Python enforces that the mode, after stripping ``'U'``, begins with ``'r'``,
    929    ``'w'`` or ``'a'``.
    930 
    931    Python provides many file handling modules including
    932    :mod:`fileinput`, :mod:`os`, :mod:`os.path`, :mod:`tempfile`, and
    933    :mod:`shutil`.
    934 
    935    .. versionchanged:: 2.5
    936       Restriction on first letter of mode string introduced.
    937 
    938 
    939 .. function:: ord(c)
    940 
    941    Given a string of length one, return an integer representing the Unicode code
    942    point of the character when the argument is a unicode object, or the value of
    943    the byte when the argument is an 8-bit string. For example, ``ord('a')`` returns
    944    the integer ``97``, ``ord(u'\u2020')`` returns ``8224``.  This is the inverse of
    945    :func:`chr` for 8-bit strings and of :func:`unichr` for unicode objects.  If a
    946    unicode argument is given and Python was built with UCS2 Unicode, then the
    947    character's code point must be in the range [0..65535] inclusive; otherwise the
    948    string length is two, and a :exc:`TypeError` will be raised.
    949 
    950 
    951 .. function:: pow(x, y[, z])
    952 
    953    Return *x* to the power *y*; if *z* is present, return *x* to the power *y*,
    954    modulo *z* (computed more efficiently than ``pow(x, y) % z``). The two-argument
    955    form ``pow(x, y)`` is equivalent to using the power operator: ``x**y``.
    956 
    957    The arguments must have numeric types.  With mixed operand types, the coercion
    958    rules for binary arithmetic operators apply.  For int and long int operands, the
    959    result has the same type as the operands (after coercion) unless the second
    960    argument is negative; in that case, all arguments are converted to float and a
    961    float result is delivered.  For example, ``10**2`` returns ``100``, but
    962    ``10**-2`` returns ``0.01``.  (This last feature was added in Python 2.2.  In
    963    Python 2.1 and before, if both arguments were of integer types and the second
    964    argument was negative, an exception was raised.) If the second argument is
    965    negative, the third argument must be omitted. If *z* is present, *x* and *y*
    966    must be of integer types, and *y* must be non-negative.  (This restriction was
    967    added in Python 2.2.  In Python 2.1 and before, floating 3-argument ``pow()``
    968    returned platform-dependent results depending on floating-point rounding
    969    accidents.)
    970 
    971 
    972 .. function:: print(*objects, sep=' ', end='\\n', file=sys.stdout)
    973 
    974    Print *objects* to the stream *file*, separated by *sep* and followed by
    975    *end*.  *sep*, *end* and *file*, if present, must be given as keyword
    976    arguments.
    977 
    978    All non-keyword arguments are converted to strings like :func:`str` does and
    979    written to the stream, separated by *sep* and followed by *end*.  Both *sep*
    980    and *end* must be strings; they can also be ``None``, which means to use the
    981    default values.  If no *objects* are given, :func:`print` will just write
    982    *end*.
    983 
    984    The *file* argument must be an object with a ``write(string)`` method; if it
    985    is not present or ``None``, :data:`sys.stdout` will be used.  Output buffering
    986    is determined by *file*.  Use ``file.flush()`` to ensure, for instance,
    987    immediate appearance on a screen.
    988 
    989    .. note::
    990 
    991       This function is not normally available as a built-in since the name
    992       ``print`` is recognized as the :keyword:`print` statement.  To disable the
    993       statement and use the :func:`print` function, use this future statement at
    994       the top of your module::
    995 
    996          from __future__ import print_function
    997 
    998    .. versionadded:: 2.6
    999 
   1000 
   1001 .. class:: property([fget[, fset[, fdel[, doc]]]])
   1002 
   1003    Return a property attribute for :term:`new-style class`\es (classes that
   1004    derive from :class:`object`).
   1005 
   1006    *fget* is a function for getting an attribute value.  *fset* is a function
   1007    for setting an attribute value. *fdel* is a function for deleting an attribute
   1008    value.  And *doc* creates a docstring for the attribute.
   1009 
   1010    A typical use is to define a managed attribute ``x``::
   1011 
   1012       class C(object):
   1013           def __init__(self):
   1014               self._x = None
   1015 
   1016           def getx(self):
   1017               return self._x
   1018 
   1019           def setx(self, value):
   1020               self._x = value
   1021 
   1022           def delx(self):
   1023               del self._x
   1024 
   1025           x = property(getx, setx, delx, "I'm the 'x' property.")
   1026 
   1027    If *c* is an instance of *C*, ``c.x`` will invoke the getter,
   1028    ``c.x = value`` will invoke the setter and ``del c.x`` the deleter.
   1029 
   1030    If given, *doc* will be the docstring of the property attribute. Otherwise, the
   1031    property will copy *fget*'s docstring (if it exists).  This makes it possible to
   1032    create read-only properties easily using :func:`property` as a :term:`decorator`::
   1033 
   1034       class Parrot(object):
   1035           def __init__(self):
   1036               self._voltage = 100000
   1037 
   1038           @property
   1039           def voltage(self):
   1040               """Get the current voltage."""
   1041               return self._voltage
   1042 
   1043    The ``@property`` decorator turns the :meth:`voltage` method into a "getter"
   1044    for a read-only attribute with the same name, and it sets the docstring for
   1045    *voltage* to "Get the current voltage."
   1046 
   1047    A property object has :attr:`~property.getter`, :attr:`~property.setter`,
   1048    and :attr:`~property.deleter` methods usable as decorators that create a
   1049    copy of the property with the corresponding accessor function set to the
   1050    decorated function.  This is best explained with an example::
   1051 
   1052       class C(object):
   1053           def __init__(self):
   1054               self._x = None
   1055 
   1056           @property
   1057           def x(self):
   1058               """I'm the 'x' property."""
   1059               return self._x
   1060 
   1061           @x.setter
   1062           def x(self, value):
   1063               self._x = value
   1064 
   1065           @x.deleter
   1066           def x(self):
   1067               del self._x
   1068 
   1069    This code is exactly equivalent to the first example.  Be sure to give the
   1070    additional functions the same name as the original property (``x`` in this
   1071    case.)
   1072 
   1073    The returned property object also has the attributes ``fget``, ``fset``, and
   1074    ``fdel`` corresponding to the constructor arguments.
   1075 
   1076    .. versionadded:: 2.2
   1077 
   1078    .. versionchanged:: 2.5
   1079       Use *fget*'s docstring if no *doc* given.
   1080 
   1081    .. versionchanged:: 2.6
   1082       The ``getter``, ``setter``, and ``deleter`` attributes were added.
   1083 
   1084 
   1085 .. function:: range(stop)
   1086               range(start, stop[, step])
   1087 
   1088    This is a versatile function to create lists containing arithmetic progressions.
   1089    It is most often used in :keyword:`for` loops.  The arguments must be plain
   1090    integers.  If the *step* argument is omitted, it defaults to ``1``.  If the
   1091    *start* argument is omitted, it defaults to ``0``.  The full form returns a list
   1092    of plain integers ``[start, start + step, start + 2 * step, ...]``.  If *step*
   1093    is positive, the last element is the largest ``start + i * step`` less than
   1094    *stop*; if *step* is negative, the last element is the smallest ``start + i *
   1095    step`` greater than *stop*.  *step* must not be zero (or else :exc:`ValueError`
   1096    is raised).  Example:
   1097 
   1098       >>> range(10)
   1099       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
   1100       >>> range(1, 11)
   1101       [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
   1102       >>> range(0, 30, 5)
   1103       [0, 5, 10, 15, 20, 25]
   1104       >>> range(0, 10, 3)
   1105       [0, 3, 6, 9]
   1106       >>> range(0, -10, -1)
   1107       [0, -1, -2, -3, -4, -5, -6, -7, -8, -9]
   1108       >>> range(0)
   1109       []
   1110       >>> range(1, 0)
   1111       []
   1112 
   1113 
   1114 .. function:: raw_input([prompt])
   1115 
   1116    If the *prompt* argument is present, it is written to standard output without a
   1117    trailing newline.  The function then reads a line from input, converts it to a
   1118    string (stripping a trailing newline), and returns that. When EOF is read,
   1119    :exc:`EOFError` is raised. Example::
   1120 
   1121       >>> s = raw_input('--> ')
   1122       --> Monty Python's Flying Circus
   1123       >>> s
   1124       "Monty Python's Flying Circus"
   1125 
   1126    If the :mod:`readline` module was loaded, then :func:`raw_input` will use it to
   1127    provide elaborate line editing and history features.
   1128 
   1129 
   1130 .. function:: reduce(function, iterable[, initializer])
   1131 
   1132    Apply *function* of two arguments cumulatively to the items of *iterable*, from
   1133    left to right, so as to reduce the iterable to a single value.  For example,
   1134    ``reduce(lambda x, y: x+y, [1, 2, 3, 4, 5])`` calculates ``((((1+2)+3)+4)+5)``.
   1135    The left argument, *x*, is the accumulated value and the right argument, *y*, is
   1136    the update value from the *iterable*.  If the optional *initializer* is present,
   1137    it is placed before the items of the iterable in the calculation, and serves as
   1138    a default when the iterable is empty.  If *initializer* is not given and
   1139    *iterable* contains only one item, the first item is returned.
   1140    Roughly equivalent to::
   1141 
   1142       def reduce(function, iterable, initializer=None):
   1143           it = iter(iterable)
   1144           if initializer is None:
   1145               try:
   1146                   initializer = next(it)
   1147               except StopIteration:
   1148                   raise TypeError('reduce() of empty sequence with no initial value')
   1149           accum_value = initializer
   1150           for x in it:
   1151               accum_value = function(accum_value, x)
   1152           return accum_value
   1153 
   1154 .. function:: reload(module)
   1155 
   1156    Reload a previously imported *module*.  The argument must be a module object, so
   1157    it must have been successfully imported before.  This is useful if you have
   1158    edited the module source file using an external editor and want to try out the
   1159    new version without leaving the Python interpreter.  The return value is the
   1160    module object (the same as the *module* argument).
   1161 
   1162    When ``reload(module)`` is executed:
   1163 
   1164    * Python modules' code is recompiled and the module-level code reexecuted,
   1165      defining a new set of objects which are bound to names in the module's
   1166      dictionary.  The ``init`` function of extension modules is not called a second
   1167      time.
   1168 
   1169    * As with all other objects in Python the old objects are only reclaimed after
   1170      their reference counts drop to zero.
   1171 
   1172    * The names in the module namespace are updated to point to any new or changed
   1173      objects.
   1174 
   1175    * Other references to the old objects (such as names external to the module) are
   1176      not rebound to refer to the new objects and must be updated in each namespace
   1177      where they occur if that is desired.
   1178 
   1179    There are a number of other caveats:
   1180 
   1181    When a module is reloaded, its dictionary (containing the module's global
   1182    variables) is retained.  Redefinitions of names will override the old
   1183    definitions, so this is generally not a problem.  If the new version of a module
   1184    does not define a name that was defined by the old version, the old definition
   1185    remains.  This feature can be used to the module's advantage if it maintains a
   1186    global table or cache of objects --- with a :keyword:`try` statement it can test
   1187    for the table's presence and skip its initialization if desired::
   1188 
   1189       try:
   1190           cache
   1191       except NameError:
   1192           cache = {}
   1193 
   1194    It is generally not very useful to reload built-in or dynamically loaded
   1195    modules.  Reloading :mod:`sys`, :mod:`__main__`, :mod:`builtins` and other
   1196    key modules is not recommended.  In many cases extension modules are not
   1197    designed to be initialized more than once, and may fail in arbitrary ways
   1198    when reloaded.
   1199 
   1200    If a module imports objects from another module using :keyword:`from` ...
   1201    :keyword:`import` ..., calling :func:`reload` for the other module does not
   1202    redefine the objects imported from it --- one way around this is to re-execute
   1203    the :keyword:`from` statement, another is to use :keyword:`import` and qualified
   1204    names (*module*.*name*) instead.
   1205 
   1206    If a module instantiates instances of a class, reloading the module that defines
   1207    the class does not affect the method definitions of the instances --- they
   1208    continue to use the old class definition.  The same is true for derived classes.
   1209 
   1210 
   1211 .. _func-repr:
   1212 .. function:: repr(object)
   1213 
   1214    Return a string containing a printable representation of an object.  This is
   1215    the same value yielded by conversions (reverse quotes).  It is sometimes
   1216    useful to be able to access this operation as an ordinary function.  For many
   1217    types, this function makes an attempt to return a string that would yield an
   1218    object with the same value when passed to :func:`eval`, otherwise the
   1219    representation is a string enclosed in angle brackets that contains the name
   1220    of the type of the object together with additional information often
   1221    including the name and address of the object.  A class can control what this
   1222    function returns for its instances by defining a :meth:`__repr__` method.
   1223 
   1224 
   1225 .. function:: reversed(seq)
   1226 
   1227    Return a reverse :term:`iterator`.  *seq* must be an object which has
   1228    a :meth:`__reversed__` method or supports the sequence protocol (the
   1229    :meth:`__len__` method and the :meth:`__getitem__` method with integer
   1230    arguments starting at ``0``).
   1231 
   1232    .. versionadded:: 2.4
   1233 
   1234    .. versionchanged:: 2.6
   1235       Added the possibility to write a custom :meth:`__reversed__` method.
   1236 
   1237 
   1238 .. function:: round(number[, ndigits])
   1239 
   1240    Return the floating point value *number* rounded to *ndigits* digits after
   1241    the decimal point.  If *ndigits* is omitted, it defaults to zero. The result
   1242    is a floating point number.  Values are rounded to the closest multiple of
   1243    10 to the power minus *ndigits*; if two multiples are equally close,
   1244    rounding is done away from 0 (so, for example, ``round(0.5)`` is ``1.0`` and
   1245    ``round(-0.5)`` is ``-1.0``).
   1246 
   1247 
   1248    .. note::
   1249 
   1250       The behavior of :func:`round` for floats can be surprising: for example,
   1251       ``round(2.675, 2)`` gives ``2.67`` instead of the expected ``2.68``.
   1252       This is not a bug: it's a result of the fact that most decimal fractions
   1253       can't be represented exactly as a float.  See :ref:`tut-fp-issues` for
   1254       more information.
   1255 
   1256 
   1257 .. _func-set:
   1258 .. class:: set([iterable])
   1259    :noindex:
   1260 
   1261    Return a new :class:`set` object, optionally with elements taken from
   1262    *iterable*.  ``set`` is a built-in class.  See :class:`set` and
   1263    :ref:`types-set` for documentation about this class.
   1264 
   1265    For other containers see the built-in :class:`frozenset`, :class:`list`,
   1266    :class:`tuple`, and :class:`dict` classes, as well as the :mod:`collections`
   1267    module.
   1268 
   1269    .. versionadded:: 2.4
   1270 
   1271 
   1272 .. function:: setattr(object, name, value)
   1273 
   1274    This is the counterpart of :func:`getattr`.  The arguments are an object, a
   1275    string and an arbitrary value.  The string may name an existing attribute or a
   1276    new attribute.  The function assigns the value to the attribute, provided the
   1277    object allows it.  For example, ``setattr(x, 'foobar', 123)`` is equivalent to
   1278    ``x.foobar = 123``.
   1279 
   1280 
   1281 .. class:: slice(stop)
   1282            slice(start, stop[, step])
   1283 
   1284    .. index:: single: Numerical Python
   1285 
   1286    Return a :term:`slice` object representing the set of indices specified by
   1287    ``range(start, stop, step)``.  The *start* and *step* arguments default to
   1288    ``None``.  Slice objects have read-only data attributes :attr:`~slice.start`,
   1289    :attr:`~slice.stop` and :attr:`~slice.step` which merely return the argument
   1290    values (or their default).  They have no other explicit functionality;
   1291    however they are used by Numerical Python and other third party extensions.
   1292    Slice objects are also generated when extended indexing syntax is used.  For
   1293    example: ``a[start:stop:step]`` or ``a[start:stop, i]``.  See
   1294    :func:`itertools.islice` for an alternate version that returns an iterator.
   1295 
   1296 
   1297 .. function:: sorted(iterable[, cmp[, key[, reverse]]])
   1298 
   1299    Return a new sorted list from the items in *iterable*.
   1300 
   1301    The optional arguments *cmp*, *key*, and *reverse* have the same meaning as
   1302    those for the :meth:`list.sort` method (described in section
   1303    :ref:`typesseq-mutable`).
   1304 
   1305    *cmp* specifies a custom comparison function of two arguments (iterable
   1306    elements) which should return a negative, zero or positive number depending on
   1307    whether the first argument is considered smaller than, equal to, or larger than
   1308    the second argument: ``cmp=lambda x,y: cmp(x.lower(), y.lower())``.  The default
   1309    value is ``None``.
   1310 
   1311    *key* specifies a function of one argument that is used to extract a comparison
   1312    key from each list element: ``key=str.lower``.  The default value is ``None``
   1313    (compare the elements directly).
   1314 
   1315    *reverse* is a boolean value.  If set to ``True``, then the list elements are
   1316    sorted as if each comparison were reversed.
   1317 
   1318    In general, the *key* and *reverse* conversion processes are much faster
   1319    than specifying an equivalent *cmp* function.  This is because *cmp* is
   1320    called multiple times for each list element while *key* and *reverse* touch
   1321    each element only once.  Use :func:`functools.cmp_to_key` to convert an
   1322    old-style *cmp* function to a *key* function.
   1323 
   1324    The built-in :func:`sorted` function is guaranteed to be stable. A sort is
   1325    stable if it guarantees not to change the relative order of elements that
   1326    compare equal --- this is helpful for sorting in multiple passes (for
   1327    example, sort by department, then by salary grade).
   1328 
   1329    For sorting examples and a brief sorting tutorial, see :ref:`sortinghowto`.
   1330 
   1331    .. versionadded:: 2.4
   1332 
   1333 
   1334 .. function:: staticmethod(function)
   1335 
   1336    Return a static method for *function*.
   1337 
   1338    A static method does not receive an implicit first argument. To declare a static
   1339    method, use this idiom::
   1340 
   1341       class C(object):
   1342           @staticmethod
   1343           def f(arg1, arg2, ...):
   1344               ...
   1345 
   1346    The ``@staticmethod`` form is a function :term:`decorator` -- see the
   1347    description of function definitions in :ref:`function` for details.
   1348 
   1349    It can be called either on the class (such as ``C.f()``) or on an instance (such
   1350    as ``C().f()``).  The instance is ignored except for its class.
   1351 
   1352    Static methods in Python are similar to those found in Java or C++. Also see
   1353    :func:`classmethod` for a variant that is useful for creating alternate
   1354    class constructors.
   1355 
   1356    For more information on static methods, consult the documentation on the
   1357    standard type hierarchy in :ref:`types`.
   1358 
   1359    .. versionadded:: 2.2
   1360 
   1361    .. versionchanged:: 2.4
   1362       Function decorator syntax added.
   1363 
   1364 
   1365 .. class:: str(object='')
   1366 
   1367    Return a string containing a nicely printable representation of an object.  For
   1368    strings, this returns the string itself.  The difference with ``repr(object)``
   1369    is that ``str(object)`` does not always attempt to return a string that is
   1370    acceptable to :func:`eval`; its goal is to return a printable string.  If no
   1371    argument is given, returns the empty string, ``''``.
   1372 
   1373    For more information on strings see :ref:`typesseq` which describes sequence
   1374    functionality (strings are sequences), and also the string-specific methods
   1375    described in the :ref:`string-methods` section. To output formatted strings
   1376    use template strings or the ``%`` operator described in the
   1377    :ref:`string-formatting` section. In addition see the :ref:`stringservices`
   1378    section. See also :func:`unicode`.
   1379 
   1380 
   1381 .. function:: sum(iterable[, start])
   1382 
   1383    Sums *start* and the items of an *iterable* from left to right and returns the
   1384    total.  *start* defaults to ``0``. The *iterable*'s items are normally numbers,
   1385    and the start value is not allowed to be a string.
   1386 
   1387    For some use cases, there are good alternatives to :func:`sum`.
   1388    The preferred, fast way to concatenate a sequence of strings is by calling
   1389    ``''.join(sequence)``.  To add floating point values with extended precision,
   1390    see :func:`math.fsum`\.  To concatenate a series of iterables, consider using
   1391    :func:`itertools.chain`.
   1392 
   1393    .. versionadded:: 2.3
   1394 
   1395 
   1396 .. function:: super(type[, object-or-type])
   1397 
   1398    Return a proxy object that delegates method calls to a parent or sibling
   1399    class of *type*.  This is useful for accessing inherited methods that have
   1400    been overridden in a class. The search order is same as that used by
   1401    :func:`getattr` except that the *type* itself is skipped.
   1402 
   1403    The :attr:`~class.__mro__` attribute of the *type* lists the method
   1404    resolution search order used by both :func:`getattr` and :func:`super`.  The
   1405    attribute is dynamic and can change whenever the inheritance hierarchy is
   1406    updated.
   1407 
   1408    If the second argument is omitted, the super object returned is unbound.  If
   1409    the second argument is an object, ``isinstance(obj, type)`` must be true.  If
   1410    the second argument is a type, ``issubclass(type2, type)`` must be true (this
   1411    is useful for classmethods).
   1412 
   1413    .. note::
   1414       :func:`super` only works for :term:`new-style class`\es.
   1415 
   1416    There are two typical use cases for *super*.  In a class hierarchy with
   1417    single inheritance, *super* can be used to refer to parent classes without
   1418    naming them explicitly, thus making the code more maintainable.  This use
   1419    closely parallels the use of *super* in other programming languages.
   1420 
   1421    The second use case is to support cooperative multiple inheritance in a
   1422    dynamic execution environment.  This use case is unique to Python and is
   1423    not found in statically compiled languages or languages that only support
   1424    single inheritance.  This makes it possible to implement "diamond diagrams"
   1425    where multiple base classes implement the same method.  Good design dictates
   1426    that this method have the same calling signature in every case (because the
   1427    order of calls is determined at runtime, because that order adapts
   1428    to changes in the class hierarchy, and because that order can include
   1429    sibling classes that are unknown prior to runtime).
   1430 
   1431    For both use cases, a typical superclass call looks like this::
   1432 
   1433       class C(B):
   1434           def method(self, arg):
   1435               super(C, self).method(arg)
   1436 
   1437    Note that :func:`super` is implemented as part of the binding process for
   1438    explicit dotted attribute lookups such as ``super().__getitem__(name)``.
   1439    It does so by implementing its own :meth:`__getattribute__` method for searching
   1440    classes in a predictable order that supports cooperative multiple inheritance.
   1441    Accordingly, :func:`super` is undefined for implicit lookups using statements or
   1442    operators such as ``super()[name]``.
   1443 
   1444    Also note that :func:`super` is not limited to use inside methods.  The two
   1445    argument form specifies the arguments exactly and makes the appropriate
   1446    references.
   1447 
   1448    For practical suggestions on how to design cooperative classes using
   1449    :func:`super`, see `guide to using super()
   1450    <https://rhettinger.wordpress.com/2011/05/26/super-considered-super/>`_.
   1451 
   1452    .. versionadded:: 2.2
   1453 
   1454 
   1455 .. function:: tuple([iterable])
   1456 
   1457    Return a tuple whose items are the same and in the same order as *iterable*'s
   1458    items.  *iterable* may be a sequence, a container that supports iteration, or an
   1459    iterator object. If *iterable* is already a tuple, it is returned unchanged.
   1460    For instance, ``tuple('abc')`` returns ``('a', 'b', 'c')`` and ``tuple([1, 2,
   1461    3])`` returns ``(1, 2, 3)``.  If no argument is given, returns a new empty
   1462    tuple, ``()``.
   1463 
   1464    :class:`tuple` is an immutable sequence type, as documented in
   1465    :ref:`typesseq`. For other containers see the built in :class:`dict`,
   1466    :class:`list`, and :class:`set` classes, and the :mod:`collections` module.
   1467 
   1468 
   1469 .. class:: type(object)
   1470            type(name, bases, dict)
   1471 
   1472    .. index:: object: type
   1473 
   1474    With one argument, return the type of an *object*.  The return value is a
   1475    type object.  The :func:`isinstance` built-in function is recommended for
   1476    testing the type of an object.
   1477 
   1478    With three arguments, return a new type object.  This is essentially a
   1479    dynamic form of the :keyword:`class` statement. The *name* string is the
   1480    class name and becomes the :attr:`~definition.__name__` attribute; the *bases* tuple
   1481    itemizes the base classes and becomes the :attr:`~class.__bases__` attribute;
   1482    and the *dict* dictionary is the namespace containing definitions for class
   1483    body and becomes the :attr:`~object.__dict__`  attribute.  For example, the
   1484    following two statements create identical :class:`type` objects:
   1485 
   1486       >>> class X(object):
   1487       ...     a = 1
   1488       ...
   1489       >>> X = type('X', (object,), dict(a=1))
   1490 
   1491    .. versionadded:: 2.2
   1492 
   1493 
   1494 .. function:: unichr(i)
   1495 
   1496    Return the Unicode string of one character whose Unicode code is the integer
   1497    *i*.  For example, ``unichr(97)`` returns the string ``u'a'``.  This is the
   1498    inverse of :func:`ord` for Unicode strings.  The valid range for the argument
   1499    depends how Python was configured -- it may be either UCS2 [0..0xFFFF] or UCS4
   1500    [0..0x10FFFF]. :exc:`ValueError` is raised otherwise. For ASCII and 8-bit
   1501    strings see :func:`chr`.
   1502 
   1503    .. versionadded:: 2.0
   1504 
   1505 
   1506 .. function:: unicode(object='')
   1507               unicode(object[, encoding [, errors]])
   1508 
   1509    Return the Unicode string version of *object* using one of the following modes:
   1510 
   1511    If *encoding* and/or *errors* are given, ``unicode()`` will decode the object
   1512    which can either be an 8-bit string or a character buffer using the codec for
   1513    *encoding*. The *encoding* parameter is a string giving the name of an encoding;
   1514    if the encoding is not known, :exc:`LookupError` is raised. Error handling is
   1515    done according to *errors*; this specifies the treatment of characters which are
   1516    invalid in the input encoding.  If *errors* is ``'strict'`` (the default), a
   1517    :exc:`ValueError` is raised on errors, while a value of ``'ignore'`` causes
   1518    errors to be silently ignored, and a value of ``'replace'`` causes the official
   1519    Unicode replacement character, ``U+FFFD``, to be used to replace input
   1520    characters which cannot be decoded.  See also the :mod:`codecs` module.
   1521 
   1522    If no optional parameters are given, ``unicode()`` will mimic the behaviour of
   1523    ``str()`` except that it returns Unicode strings instead of 8-bit strings. More
   1524    precisely, if *object* is a Unicode string or subclass it will return that
   1525    Unicode string without any additional decoding applied.
   1526 
   1527    For objects which provide a :meth:`__unicode__` method, it will call this method
   1528    without arguments to create a Unicode string. For all other objects, the 8-bit
   1529    string version or representation is requested and then converted to a Unicode
   1530    string using the codec for the default encoding in ``'strict'`` mode.
   1531 
   1532    For more information on Unicode strings see :ref:`typesseq` which describes
   1533    sequence functionality (Unicode strings are sequences), and also the
   1534    string-specific methods described in the :ref:`string-methods` section. To
   1535    output formatted strings use template strings or the ``%`` operator described
   1536    in the :ref:`string-formatting` section. In addition see the
   1537    :ref:`stringservices` section. See also :func:`str`.
   1538 
   1539    .. versionadded:: 2.0
   1540 
   1541    .. versionchanged:: 2.2
   1542       Support for :meth:`__unicode__` added.
   1543 
   1544 
   1545 .. function:: vars([object])
   1546 
   1547    Return the :attr:`~object.__dict__` attribute for a module, class, instance,
   1548    or any other object with a :attr:`~object.__dict__` attribute.
   1549 
   1550    Objects such as modules and instances have an updateable :attr:`~object.__dict__`
   1551    attribute; however, other objects may have write restrictions on their
   1552    :attr:`~object.__dict__` attributes (for example, new-style classes use a
   1553    dictproxy to prevent direct dictionary updates).
   1554 
   1555    Without an argument, :func:`vars` acts like :func:`locals`.  Note, the
   1556    locals dictionary is only useful for reads since updates to the locals
   1557    dictionary are ignored.
   1558 
   1559 
   1560 .. function:: xrange(stop)
   1561               xrange(start, stop[, step])
   1562 
   1563    This function is very similar to :func:`range`, but returns an :ref:`xrange
   1564    object <typesseq-xrange>`
   1565    instead of a list.  This is an opaque sequence type which yields the same values
   1566    as the corresponding list, without actually storing them all simultaneously.
   1567    The advantage of :func:`xrange` over :func:`range` is minimal (since
   1568    :func:`xrange` still has to create the values when asked for them) except when a
   1569    very large range is used on a memory-starved machine or when all of the range's
   1570    elements are never used (such as when the loop is usually terminated with
   1571    :keyword:`break`).  For more information on xrange objects, see
   1572    :ref:`typesseq-xrange` and :ref:`typesseq`.
   1573 
   1574    .. impl-detail::
   1575 
   1576       :func:`xrange` is intended to be simple and fast.  Implementations may
   1577       impose restrictions to achieve this.  The C implementation of Python
   1578       restricts all arguments to native C longs ("short" Python integers), and
   1579       also requires that the number of elements fit in a native C long.  If a
   1580       larger range is needed, an alternate version can be crafted using the
   1581       :mod:`itertools` module: ``islice(count(start, step),
   1582       (stop-start+step-1+2*(step<0))//step)``.
   1583 
   1584 
   1585 .. function:: zip([iterable, ...])
   1586 
   1587    This function returns a list of tuples, where the *i*-th tuple contains the
   1588    *i*-th element from each of the argument sequences or iterables. The returned
   1589    list is truncated in length to the length of the shortest argument sequence.
   1590    When there are multiple arguments which are all of the same length, :func:`zip`
   1591    is similar to :func:`map` with an initial argument of ``None``. With a single
   1592    sequence argument, it returns a list of 1-tuples. With no arguments, it returns
   1593    an empty list.
   1594 
   1595    The left-to-right evaluation order of the iterables is guaranteed. This
   1596    makes possible an idiom for clustering a data series into n-length groups
   1597    using ``zip(*[iter(s)]*n)``.
   1598 
   1599    :func:`zip` in conjunction with the ``*`` operator can be used to unzip a
   1600    list::
   1601 
   1602       >>> x = [1, 2, 3]
   1603       >>> y = [4, 5, 6]
   1604       >>> zipped = zip(x, y)
   1605       >>> zipped
   1606       [(1, 4), (2, 5), (3, 6)]
   1607       >>> x2, y2 = zip(*zipped)
   1608       >>> x == list(x2) and y == list(y2)
   1609       True
   1610 
   1611    .. versionadded:: 2.0
   1612 
   1613    .. versionchanged:: 2.4
   1614       Formerly, :func:`zip` required at least one argument and ``zip()`` raised a
   1615       :exc:`TypeError` instead of returning an empty list.
   1616 
   1617 
   1618 .. function:: __import__(name[, globals[, locals[, fromlist[, level]]]])
   1619 
   1620    .. index::
   1621       statement: import
   1622       module: imp
   1623 
   1624    .. note::
   1625 
   1626       This is an advanced function that is not needed in everyday Python
   1627       programming, unlike :func:`importlib.import_module`.
   1628 
   1629    This function is invoked by the :keyword:`import` statement.  It can be
   1630    replaced (by importing the :mod:`__builtin__` module and assigning to
   1631    ``__builtin__.__import__``) in order to change semantics of the
   1632    :keyword:`import` statement, but nowadays it is usually simpler to use import
   1633    hooks (see :pep:`302`).  Direct use of :func:`__import__` is rare, except in
   1634    cases where you want to import a module whose name is only known at runtime.
   1635 
   1636    The function imports the module *name*, potentially using the given *globals*
   1637    and *locals* to determine how to interpret the name in a package context.
   1638    The *fromlist* gives the names of objects or submodules that should be
   1639    imported from the module given by *name*.  The standard implementation does
   1640    not use its *locals* argument at all, and uses its *globals* only to
   1641    determine the package context of the :keyword:`import` statement.
   1642 
   1643    *level* specifies whether to use absolute or relative imports.  The default
   1644    is ``-1`` which indicates both absolute and relative imports will be
   1645    attempted.  ``0`` means only perform absolute imports.  Positive values for
   1646    *level* indicate the number of parent directories to search relative to the
   1647    directory of the module calling :func:`__import__`.
   1648 
   1649    When the *name* variable is of the form ``package.module``, normally, the
   1650    top-level package (the name up till the first dot) is returned, *not* the
   1651    module named by *name*.  However, when a non-empty *fromlist* argument is
   1652    given, the module named by *name* is returned.
   1653 
   1654    For example, the statement ``import spam`` results in bytecode resembling the
   1655    following code::
   1656 
   1657       spam = __import__('spam', globals(), locals(), [], -1)
   1658 
   1659    The statement ``import spam.ham`` results in this call::
   1660 
   1661       spam = __import__('spam.ham', globals(), locals(), [], -1)
   1662 
   1663    Note how :func:`__import__` returns the toplevel module here because this is
   1664    the object that is bound to a name by the :keyword:`import` statement.
   1665 
   1666    On the other hand, the statement ``from spam.ham import eggs, sausage as
   1667    saus`` results in ::
   1668 
   1669       _temp = __import__('spam.ham', globals(), locals(), ['eggs', 'sausage'], -1)
   1670       eggs = _temp.eggs
   1671       saus = _temp.sausage
   1672 
   1673    Here, the ``spam.ham`` module is returned from :func:`__import__`.  From this
   1674    object, the names to import are retrieved and assigned to their respective
   1675    names.
   1676 
   1677    If you simply want to import a module (potentially within a package) by name,
   1678    use :func:`importlib.import_module`.
   1679 
   1680 
   1681    .. versionchanged:: 2.5
   1682       The level parameter was added.
   1683 
   1684    .. versionchanged:: 2.5
   1685       Keyword support for parameters was added.
   1686 
   1687 ..  ---------------------------------------------------------------------------
   1688 
   1689 
   1690 .. _non-essential-built-in-funcs:
   1691 
   1692 Non-essential Built-in Functions
   1693 ================================
   1694 
   1695 There are several built-in functions that are no longer essential to learn, know
   1696 or use in modern Python programming.  They have been kept here to maintain
   1697 backwards compatibility with programs written for older versions of Python.
   1698 
   1699 Python programmers, trainers, students and book writers should feel free to
   1700 bypass these functions without concerns about missing something important.
   1701 
   1702 
   1703 .. function:: apply(function, args[, keywords])
   1704 
   1705    The *function* argument must be a callable object (a user-defined or built-in
   1706    function or method, or a class object) and the *args* argument must be a
   1707    sequence.  The *function* is called with *args* as the argument list; the number
   1708    of arguments is the length of the tuple. If the optional *keywords* argument is
   1709    present, it must be a dictionary whose keys are strings.  It specifies keyword
   1710    arguments to be added to the end of the argument list. Calling :func:`apply` is
   1711    different from just calling ``function(args)``, since in that case there is
   1712    always exactly one argument.  The use of :func:`apply` is equivalent to
   1713    ``function(*args, **keywords)``.
   1714 
   1715    .. deprecated:: 2.3
   1716       Use ``function(*args, **keywords)`` instead of
   1717       ``apply(function, args, keywords)`` (see :ref:`tut-unpacking-arguments`).
   1718 
   1719 
   1720 .. function:: buffer(object[, offset[, size]])
   1721 
   1722    The *object* argument must be an object that supports the buffer call interface
   1723    (such as strings, arrays, and buffers).  A new buffer object will be created
   1724    which references the *object* argument. The buffer object will be a slice from
   1725    the beginning of *object* (or from the specified *offset*). The slice will
   1726    extend to the end of *object* (or will have a length given by the *size*
   1727    argument).
   1728 
   1729 
   1730 .. function:: coerce(x, y)
   1731 
   1732    Return a tuple consisting of the two numeric arguments converted to a common
   1733    type, using the same rules as used by arithmetic operations. If coercion is not
   1734    possible, raise :exc:`TypeError`.
   1735 
   1736 
   1737 .. function:: intern(string)
   1738 
   1739    Enter *string* in the table of "interned" strings and return the interned string
   1740    -- which is *string* itself or a copy. Interning strings is useful to gain a
   1741    little performance on dictionary lookup -- if the keys in a dictionary are
   1742    interned, and the lookup key is interned, the key comparisons (after hashing)
   1743    can be done by a pointer compare instead of a string compare.  Normally, the
   1744    names used in Python programs are automatically interned, and the dictionaries
   1745    used to hold module, class or instance attributes have interned keys.
   1746 
   1747    .. versionchanged:: 2.3
   1748       Interned strings are not immortal (like they used to be in Python 2.2 and
   1749       before); you must keep a reference to the return value of :func:`intern` around
   1750       to benefit from it.
   1751 
   1752 .. rubric:: Footnotes
   1753 
   1754 .. [#] It is used relatively rarely so does not warrant being made into a statement.
   1755 
   1756 .. [#] Specifying a buffer size currently has no effect on systems that don't have
   1757    :c:func:`setvbuf`.  The interface to specify the buffer size is not done using a
   1758    method that calls :c:func:`setvbuf`, because that may dump core when called after
   1759    any I/O has been performed, and there's no reliable way to determine whether
   1760    this is the case.
   1761 
   1762 .. [#] In the current implementation, local variable bindings cannot normally be
   1763    affected this way, but variables retrieved from other scopes (such as modules)
   1764    can be.  This may change.
   1765