summaryrefslogtreecommitdiffstats
path: root/Doc/library/functions.rst
blob: 75bca72a10edca33a9b66fc614f19f24615f8a8e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458

.. _built-in-funcs:

Built-in Functions
==================

The Python interpreter has a number of functions built into it that are always
available.  They are listed here in alphabetical order.


.. function:: __import__(name[, globals[, locals[, fromlist[, level]]]])

   .. index::
      statement: import
      module: ihooks
      module: rexec
      module: imp

   .. note::

      This is an advanced function that is not needed in everyday Python
      programming.

   The function is invoked by the :keyword:`import` statement.  It mainly exists
   so that you can replace it with another function that has a compatible
   interface, in order to change the semantics of the :keyword:`import` statement.
   For examples of why and how you would do this, see the standard library modules
   :mod:`ihooks` and :mod:`rexec`.  See also the built-in module :mod:`imp`, which
   defines some useful operations out of which you can build your own
   :func:`__import__` function.

   For example, the statement ``import spam`` results in the following call:
   ``__import__('spam', globals(), locals(), [], -1)``; the statement
   ``from spam.ham import eggs`` results in ``__import__('spam.ham', globals(),
   locals(), ['eggs'], -1)``.  Note that even though ``locals()`` and ``['eggs']``
   are passed in as arguments, the :func:`__import__` function does not set the
   local variable named ``eggs``; this is done by subsequent code that is generated
   for the import statement.  (In fact, the standard implementation does not use
   its *locals* argument at all, and uses its *globals* only to determine the
   package context of the :keyword:`import` statement.)

   When the *name* variable is of the form ``package.module``, normally, the
   top-level package (the name up till the first dot) is returned, *not* the
   module named by *name*.  However, when a non-empty *fromlist* argument is
   given, the module named by *name* is returned.  This is done for
   compatibility with the :term:`bytecode` generated for the different kinds of import
   statement; when using ``import spam.ham.eggs``, the top-level package
   :mod:`spam` must be placed in the importing namespace, but when using ``from
   spam.ham import eggs``, the ``spam.ham`` subpackage must be used to find the
   ``eggs`` variable.  As a workaround for this behavior, use :func:`getattr` to
   extract the desired components.  For example, you could define the following
   helper::

      def my_import(name):
          mod = __import__(name)
          components = name.split('.')
          for comp in components[1:]:
              mod = getattr(mod, comp)
          return mod

   *level* specifies whether to use absolute or relative imports. The default is
   ``-1`` which indicates both absolute and relative imports will be attempted.
   ``0`` means only perform absolute imports. Positive values for *level* indicate
   the number of parent directories to search relative to the directory of the
   module calling :func:`__import__`.

   .. versionchanged:: 2.5
      The level parameter was added.

   .. versionchanged:: 2.5
      Keyword support for parameters was added.


.. function:: abs(x)

   Return the absolute value of a number.  The argument may be a plain or long
   integer or a floating point number.  If the argument is a complex number, its
   magnitude is returned.


.. function:: all(iterable)

   Return True if all elements of the *iterable* are true. Equivalent to::

      def all(iterable):
          for element in iterable:
              if not element:
                  return False
          return True

   .. versionadded:: 2.5


.. function:: any(iterable)

   Return True if any element of the *iterable* is true. Equivalent to::

      def any(iterable):
          for element in iterable:
              if element:
                  return True
          return False

   .. versionadded:: 2.5


.. function:: basestring()

   This abstract type is the superclass for :class:`str` and :class:`unicode`. It
   cannot be called or instantiated, but it can be used to test whether an object
   is an instance of :class:`str` or :class:`unicode`. ``isinstance(obj,
   basestring)`` is equivalent to ``isinstance(obj, (str, unicode))``.

   .. versionadded:: 2.3


.. function:: bool([x])

   Convert a value to a Boolean, using the standard truth testing procedure.  If
   *x* is false or omitted, this returns :const:`False`; otherwise it returns
   :const:`True`. :class:`bool` is also a class, which is a subclass of
   :class:`int`. Class :class:`bool` cannot be subclassed further.  Its only
   instances are :const:`False` and :const:`True`.

   .. index:: pair: Boolean; type

   .. versionadded:: 2.2.1

   .. versionchanged:: 2.3
      If no argument is given, this function returns :const:`False`.


.. function:: callable(object)

   Return :const:`True` if the *object* argument appears callable,
   :const:`False` if not.  If this
   returns true, it is still possible that a call fails, but if it is false,
   calling *object* will never succeed.  Note that classes are callable (calling a
   class returns a new instance); class instances are callable if they have a
   :meth:`__call__` method.


.. function:: chr(i)

   Return a string of one character whose ASCII code is the integer *i*.  For
   example, ``chr(97)`` returns the string ``'a'``. This is the inverse of
   :func:`ord`.  The argument must be in the range [0..255], inclusive;
   :exc:`ValueError` will be raised if *i* is outside that range. See
   also :func:`unichr`.


.. function:: classmethod(function)

   Return a class method for *function*.

   A class method receives the class as implicit first argument, just like an
   instance method receives the instance. To declare a class method, use this
   idiom::

      class C:
          @classmethod
          def f(cls, arg1, arg2, ...): ...

   The ``@classmethod`` form is a function :term:`decorator` -- see the description
   of function definitions in :ref:`function` for details.

   It can be called either on the class (such as ``C.f()``) or on an instance (such
   as ``C().f()``).  The instance is ignored except for its class. If a class
   method is called for a derived class, the derived class object is passed as the
   implied first argument.

   Class methods are different than C++ or Java static methods. If you want those,
   see :func:`staticmethod` in this section.

   For more information on class methods, consult the documentation on the standard
   type hierarchy in :ref:`types`.

   .. versionadded:: 2.2

   .. versionchanged:: 2.4
      Function decorator syntax added.


.. function:: cmp(x, y)

   Compare the two objects *x* and *y* and return an integer according to the
   outcome.  The return value is negative if ``x < y``, zero if ``x == y`` and
   strictly positive if ``x > y``.


.. function:: compile(source, filename, mode[, flags[, dont_inherit]])

   Compile the *source* into a code or AST object.  Code objects can be executed
   by an :keyword:`exec` statement or evaluated by a call to :func:`eval`.
   *source* can either be a string or an AST object.  Refer to the :mod:`_ast`
   module documentation for information on how to compile into and from AST
   objects.

   When compiling a string with multi-line statements, two caveats apply: line
   endings must be represented by a single newline character (``'\n'``), and the
   input must be terminated by at least one newline character.  If line endings
   are represented by ``'\r\n'``, use the string :meth:`replace` method to
   change them into ``'\n'``.

   The *filename* argument should give the file from which the code was read;
   pass some recognizable value if it wasn't read from a file (``'<string>'`` is
   commonly used).

   The *mode* argument specifies what kind of code must be compiled; it can be
   ``'exec'`` if *source* consists of a sequence of statements, ``'eval'`` if it
   consists of a single expression, or ``'single'`` if it consists of a single
   interactive statement (in the latter case, expression statements that
   evaluate to something else than ``None`` will be printed).

   The optional arguments *flags* and *dont_inherit* (which are new in Python 2.2)
   control which future statements (see :pep:`236`) affect the compilation of
   *source*.  If neither is present (or both are zero) the code is compiled with
   those future statements that are in effect in the code that is calling compile.
   If the *flags* argument is given and *dont_inherit* is not (or is zero) then the
   future statements specified by the *flags* argument are used in addition to
   those that would be used anyway. If *dont_inherit* is a non-zero integer then
   the *flags* argument is it -- the future statements in effect around the call to
   compile are ignored.

   Future statements are specified by bits which can be bitwise ORed together to
   specify multiple statements.  The bitfield required to specify a given feature
   can be found as the :attr:`compiler_flag` attribute on the :class:`_Feature`
   instance in the :mod:`__future__` module.

   This function raises :exc:`SyntaxError` if the compiled source is invalid,
   and :exc:`TypeError` if the source contains null bytes.

   .. versionadded:: 2.6
      Support for compiling AST objects.


.. function:: complex([real[, imag]])

   Create a complex number with the value *real* + *imag*\*j or convert a string or
   number to a complex number.  If the first parameter is a string, it will be
   interpreted as a complex number and the function must be called without a second
   parameter.  The second parameter can never be a string. Each argument may be any
   numeric type (including complex). If *imag* is omitted, it defaults to zero and
   the function serves as a numeric conversion function like :func:`int`,
   :func:`long` and :func:`float`.  If both arguments are omitted, returns ``0j``.

   The complex type is described in :ref:`typesnumeric`.


.. function:: delattr(object, name)

   This is a relative of :func:`setattr`.  The arguments are an object and a
   string.  The string must be the name of one of the object's attributes.  The
   function deletes the named attribute, provided the object allows it.  For
   example, ``delattr(x, 'foobar')`` is equivalent to ``del x.foobar``.


.. function:: dict([arg])
   :noindex:

   Create a new data dictionary, optionally with items taken from *arg*.
   The dictionary type is described in :ref:`typesmapping`.

   For other containers see the built in :class:`list`, :class:`set`, and
   :class:`tuple` classes, and the :mod:`collections` module.


.. function:: dir([object])

   Without arguments, return the list of names in the current local scope.  With an
   argument, attempt to return a list of valid attributes for that object.

   If the object has a method named :meth:`__dir__`, this method will be called and
   must return the list of attributes. This allows objects that implement a custom
   :func:`__getattr__` or :func:`__getattribute__` function to customize the way
   :func:`dir` reports their attributes.

   If the object does not provide :meth:`__dir__`, the function tries its best to
   gather information from the object's :attr:`__dict__` attribute, if defined, and
   from its type object.  The resulting list is not necessarily complete, and may
   be inaccurate when the object has a custom :func:`__getattr__`.

   The default :func:`dir` mechanism behaves differently with different types of
   objects, as it attempts to produce the most relevant, rather than complete,
   information:

   * If the object is a module object, the list contains the names of the module's
     attributes.

   * If the object is a type or class object, the list contains the names of its
     attributes, and recursively of the attributes of its bases.

   * Otherwise, the list contains the object's attributes' names, the names of its
     class's attributes, and recursively of the attributes of its class's base
     classes.

   The resulting list is sorted alphabetically.  For example:

      >>> import struct
      >>> dir()   # doctest: +SKIP
      ['__builtins__', '__doc__', '__name__', 'struct']
      >>> dir(struct)   # doctest: +NORMALIZE_WHITESPACE
      ['Struct', '__builtins__', '__doc__', '__file__', '__name__',
       '__package__', '_clearcache', 'calcsize', 'error', 'pack', 'pack_into',
       'unpack', 'unpack_from']
      >>> class Foo(object):
      ...     def __dir__(self):
      ...         return ["kan", "ga", "roo"]
      ...
      >>> f = Foo()
      >>> dir(f)
      ['ga', 'kan', 'roo']

   .. note::

      Because :func:`dir` is supplied primarily as a convenience for use at an
      interactive prompt, it tries to supply an interesting set of names more than it
      tries to supply a rigorously or consistently defined set of names, and its
      detailed behavior may change across releases.  For example, metaclass attributes
      are not in the result list when the argument is a class.


.. function:: divmod(a, b)

   Take two (non complex) numbers as arguments and return a pair of numbers
   consisting of their quotient and remainder when using long division.  With mixed
   operand types, the rules for binary arithmetic operators apply.  For plain and
   long integers, the result is the same as ``(a // b, a % b)``. For floating point
   numbers the result is ``(q, a % b)``, where *q* is usually ``math.floor(a / b)``
   but may be 1 less than that.  In any case ``q * b + a % b`` is very close to
   *a*, if ``a % b`` is non-zero it has the same sign as *b*, and ``0 <= abs(a % b)
   < abs(b)``.

   .. versionchanged:: 2.3
      Using :func:`divmod` with complex numbers is deprecated.


.. function:: enumerate(sequence[, start=0])

   Return an enumerate object. *sequence* must be a sequence, an
   :term:`iterator`, or some other object which supports iteration.  The
   :meth:`next` method of the iterator returned by :func:`enumerate` returns a
   tuple containing a count (from *start* which defaults to 0) and the
   corresponding value obtained from iterating over *iterable*.
   :func:`enumerate` is useful for obtaining an indexed series: ``(0, seq[0])``,
   ``(1, seq[1])``, ``(2, seq[2])``, .... For example:

      >>> for i, season in enumerate(['Spring', 'Summer', 'Fall', 'Winter']):
      ...     print i, season
      0 Spring
      1 Summer
      2 Fall
      3 Winter

   .. versionadded:: 2.3
   .. versionadded:: 2.6
      The *start* parameter.


.. function:: eval(expression[, globals[, locals]])

   The arguments are a string and optional globals and locals.  If provided,
   *globals* must be a dictionary.  If provided, *locals* can be any mapping
   object.

   .. versionchanged:: 2.4
      formerly *locals* was required to be a dictionary.

   The *expression* argument is parsed and evaluated as a Python expression
   (technically speaking, a condition list) using the *globals* and *locals*
   dictionaries as global and local namespace.  If the *globals* dictionary is
   present and lacks '__builtins__', the current globals are copied into *globals*
   before *expression* is parsed.  This means that *expression* normally has full
   access to the standard :mod:`__builtin__` module and restricted environments are
   propagated.  If the *locals* dictionary is omitted it defaults to the *globals*
   dictionary.  If both dictionaries are omitted, the expression is executed in the
   environment where :func:`eval` is called.  The return value is the result of
   the evaluated expression. Syntax errors are reported as exceptions.  Example:

      >>> x = 1
      >>> print eval('x+1')
      2

   This function can also be used to execute arbitrary code objects (such as
   those created by :func:`compile`).  In this case pass a code object instead
   of a string.  If the code object has been compiled with ``'exec'`` as the
   *kind* argument, :func:`eval`\'s return value will be ``None``.

   Hints: dynamic execution of statements is supported by the :keyword:`exec`
   statement.  Execution of statements from a file is supported by the
   :func:`execfile` function.  The :func:`globals` and :func:`locals` functions
   returns the current global and local dictionary, respectively, which may be
   useful to pass around for use by :func:`eval` or :func:`execfile`.


.. function:: execfile(filename[, globals[, locals]])

   This function is similar to the :keyword:`exec` statement, but parses a file
   instead of a string.  It is different from the :keyword:`import` statement in
   that it does not use the module administration --- it reads the file
   unconditionally and does not create a new module. [#]_

   The arguments are a file name and two optional dictionaries.  The file is parsed
   and evaluated as a sequence of Python statements (similarly to a module) using
   the *globals* and *locals* dictionaries as global and local namespace. If
   provided, *locals* can be any mapping object.

   .. versionchanged:: 2.4
      formerly *locals* was required to be a dictionary.

   If the *locals* dictionary is omitted it defaults to the *globals* dictionary.
   If both dictionaries are omitted, the expression is executed in the environment
   where :func:`execfile` is called.  The return value is ``None``.

   .. warning::

      The default *locals* act as described for function :func:`locals` below:
      modifications to the default *locals* dictionary should not be attempted.  Pass
      an explicit *locals* dictionary if you need to see effects of the code on
      *locals* after function :func:`execfile` returns.  :func:`execfile` cannot be
      used reliably to modify a function's locals.


.. function:: file(filename[, mode[, bufsize]])

   Constructor function for the :class:`file` type, described further in section
   :ref:`bltin-file-objects`.  The constructor's arguments are the same as those
   of the :func:`open` built-in function described below.

   When opening a file, it's preferable to use :func:`open` instead of  invoking
   this constructor directly.  :class:`file` is more suited to type testing (for
   example, writing ``isinstance(f, file)``).

   .. versionadded:: 2.2


.. function:: filter(function, iterable)

   Construct a list from those elements of *iterable* for which *function* returns
   true.  *iterable* may be either a sequence, a container which supports
   iteration, or an iterator.  If *iterable* is a string or a tuple, the result
   also has that type; otherwise it is always a list.  If *function* is ``None``,
   the identity function is assumed, that is, all elements of *iterable* that are
   false are removed.

   Note that ``filter(function, iterable)`` is equivalent to ``[item for item in
   iterable if function(item)]`` if function is not ``None`` and ``[item for item
   in iterable if item]`` if function is ``None``.


.. function:: float([x])

   Convert a string or a number to floating point.  If the argument is a string, it
   must contain a possibly signed decimal or floating point number, possibly
   embedded in whitespace. The argument may also be [+|-]nan or [+|-]inf.
   Otherwise, the argument may be a plain or long integer
   or a floating point number, and a floating point number with the same value
   (within Python's floating point precision) is returned.  If no argument is
   given, returns ``0.0``.

   .. note::

      .. index::
         single: NaN
         single: Infinity

      When passing in a string, values for NaN and Infinity may be returned, depending
      on the underlying C library.  Float accepts the strings nan, inf and -inf for
      NaN and positive or negative infinity. The case and a leading + are ignored as
      well as a leading - is ignored for NaN. Float always represents NaN and infinity
      as nan, inf or -inf.

   The float type is described in :ref:`typesnumeric`.

.. function:: frozenset([iterable])
   :noindex:

   Return a frozenset object, optionally with elements taken from *iterable*.
   The frozenset type is described in :ref:`types-set`.

   For other containers see the built in :class:`dict`, :class:`list`, and
   :class:`tuple` classes, and the :mod:`collections` module.

   .. versionadded:: 2.4


.. function:: getattr(object, name[, default])

   Return the value of the named attributed of *object*.  *name* must be a string.
   If the string is the name of one of the object's attributes, the result is the
   value of that attribute.  For example, ``getattr(x, 'foobar')`` is equivalent to
   ``x.foobar``.  If the named attribute does not exist, *default* is returned if
   provided, otherwise :exc:`AttributeError` is raised.


.. function:: globals()

   Return a dictionary representing the current global symbol table. This is always
   the dictionary of the current module (inside a function or method, this is the
   module where it is defined, not the module from which it is called).


.. function:: hasattr(object, name)

   The arguments are an object and a string.  The result is ``True`` if the string
   is the name of one of the object's attributes, ``False`` if not. (This is
   implemented by calling ``getattr(object, name)`` and seeing whether it raises an
   exception or not.)


.. function:: hash(object)

   Return the hash value of the object (if it has one).  Hash values are integers.
   They are used to quickly compare dictionary keys during a dictionary lookup.
   Numeric values that compare equal have the same hash value (even if they are of
   different types, as is the case for 1 and 1.0).


.. function:: help([object])

   Invoke the built-in help system.  (This function is intended for interactive
   use.)  If no argument is given, the interactive help system starts on the
   interpreter console.  If the argument is a string, then the string is looked up
   as the name of a module, function, class, method, keyword, or documentation
   topic, and a help page is printed on the console.  If the argument is any other
   kind of object, a help page on the object is generated.

   This function is added to the built-in namespace by the :mod:`site` module.

   .. versionadded:: 2.2


.. function:: hex(x)

   Convert an integer number (of any size) to a hexadecimal string. The result is a
   valid Python expression.

   .. versionchanged:: 2.4
      Formerly only returned an unsigned literal.


.. function:: id(object)

   Return the "identity" of an object.  This is an integer (or long integer) which
   is guaranteed to be unique and constant for this object during its lifetime.
   Two objects with non-overlapping lifetimes may have the same :func:`id` value.
   (Implementation note: this is the address of the object.)


.. function:: input([prompt])

   Equivalent to ``eval(raw_input(prompt))``.

   .. warning::

      This function is not safe from user errors!  It expects a valid Python
      expression as input; if the input is not syntactically valid, a
      :exc:`SyntaxError` will be raised. Other exceptions may be raised if there is an
      error during evaluation.  (On the other hand, sometimes this is exactly what you
      need when writing a quick script for expert use.)

   If the :mod:`readline` module was loaded, then :func:`input` will use it to
   provide elaborate line editing and history features.

   Consider using the :func:`raw_input` function for general input from users.


.. function:: int([x[, radix]])

   Convert a string or number to a plain integer.  If the argument is a string,
   it must contain a possibly signed decimal number representable as a Python
   integer, possibly embedded in whitespace.  The *radix* parameter gives the
   base for the conversion (which is 10 by default) and may be any integer in
   the range [2, 36], or zero.  If *radix* is zero, the proper radix is guessed
   based on the contents of string; the interpretation is the same as for
   integer literals.  If *radix* is specified and *x* is not a string,
   :exc:`TypeError` is raised. Otherwise, the argument may be a plain or long
   integer or a floating point number.  Conversion of floating point numbers to
   integers truncates (towards zero).  If the argument is outside the integer
   range a long object will be returned instead.  If no arguments are given,
   returns ``0``.

   The integer type is described in :ref:`typesnumeric`.


.. function:: isinstance(object, classinfo)

   Return true if the *object* argument is an instance of the *classinfo* argument,
   or of a (direct or indirect) subclass thereof.  Also return true if *classinfo*
   is a type object (new-style class) and *object* is an object of that type or of
   a (direct or indirect) subclass thereof.  If *object* is not a class instance or
   an object of the given type, the function always returns false.  If *classinfo*
   is neither a class object nor a type object, it may be a tuple of class or type
   objects, or may recursively contain other such tuples (other sequence types are
   not accepted).  If *classinfo* is not a class, type, or tuple of classes, types,
   and such tuples, a :exc:`TypeError` exception is raised.

   .. versionchanged:: 2.2
      Support for a tuple of type information was added.


.. function:: issubclass(class, classinfo)

   Return true if *class* is a subclass (direct or indirect) of *classinfo*.  A
   class is considered a subclass of itself. *classinfo* may be a tuple of class
   objects, in which case every entry in *classinfo* will be checked. In any other
   case, a :exc:`TypeError` exception is raised.

   .. versionchanged:: 2.3
      Support for a tuple of type information was added.


.. function:: iter(o[, sentinel])

   Return an :term:`iterator` object.  The first argument is interpreted very differently
   depending on the presence of the second argument. Without a second argument, *o*
   must be a collection object which supports the iteration protocol (the
   :meth:`__iter__` method), or it must support the sequence protocol (the
   :meth:`__getitem__` method with integer arguments starting at ``0``).  If it
   does not support either of those protocols, :exc:`TypeError` is raised. If the
   second argument, *sentinel*, is given, then *o* must be a callable object.  The
   iterator created in this case will call *o* with no arguments for each call to
   its :meth:`next` method; if the value returned is equal to *sentinel*,
   :exc:`StopIteration` will be raised, otherwise the value will be returned.

   .. versionadded:: 2.2


.. function:: len(s)

   Return the length (the number of items) of an object.  The argument may be a
   sequence (string, tuple or list) or a mapping (dictionary).


.. function:: list([iterable])

   Return a list whose items are the same and in the same order as *iterable*'s
   items.  *iterable* may be either a sequence, a container that supports
   iteration, or an iterator object.  If *iterable* is already a list, a copy is
   made and returned, similar to ``iterable[:]``.  For instance, ``list('abc')``
   returns ``['a', 'b', 'c']`` and ``list( (1, 2, 3) )`` returns ``[1, 2, 3]``.  If
   no argument is given, returns a new empty list, ``[]``.

   :class:`list` is a mutable sequence type, as documented in
   :ref:`typesseq`. For other containers see the built in :class:`dict`,
   :class:`set`, and :class:`tuple` classes, and the :mod:`collections` module.


.. function:: locals()

   Update and return a dictionary representing the current local symbol table.

   .. warning::

      The contents of this dictionary should not be modified; changes may not affect
      the values of local variables used by the interpreter.

   Free variables are returned by :func:`locals` when it is called in a function block.
   Modifications of free variables may not affect the values used by the
   interpreter.  Free variables are not returned in class blocks.


.. function:: long([x[, radix]])

   Convert a string or number to a long integer.  If the argument is a string, it
   must contain a possibly signed number of arbitrary size, possibly embedded in
   whitespace. The *radix* argument is interpreted in the same way as for
   :func:`int`, and may only be given when *x* is a string. Otherwise, the argument
   may be a plain or long integer or a floating point number, and a long integer
   with the same value is returned.    Conversion of floating point numbers to
   integers truncates (towards zero).  If no arguments are given, returns ``0L``.

   The long type is described in :ref:`typesnumeric`.

.. function:: map(function, iterable, ...)

   Apply *function* to every item of *iterable* and return a list of the results.
   If additional *iterable* arguments are passed, *function* must take that many
   arguments and is applied to the items from all iterables in parallel.  If one
   iterable is shorter than another it is assumed to be extended with ``None``
   items.  If *function* is ``None``, the identity function is assumed; if there
   are multiple arguments, :func:`map` returns a list consisting of tuples
   containing the corresponding items from all iterables (a kind of transpose
   operation).  The *iterable* arguments may be a sequence  or any iterable object;
   the result is always a list.


.. function:: max(iterable[, args...][key])

   With a single argument *iterable*, return the largest item of a non-empty
   iterable (such as a string, tuple or list).  With more than one argument, return
   the largest of the arguments.

   The optional *key* argument specifies a one-argument ordering function like that
   used for :meth:`list.sort`.  The *key* argument, if supplied, must be in keyword
   form (for example, ``max(a,b,c,key=func)``).

   .. versionchanged:: 2.5
      Added support for the optional *key* argument.


.. function:: min(iterable[, args...][key])

   With a single argument *iterable*, return the smallest item of a non-empty
   iterable (such as a string, tuple or list).  With more than one argument, return
   the smallest of the arguments.

   The optional *key* argument specifies a one-argument ordering function like that
   used for :meth:`list.sort`.  The *key* argument, if supplied, must be in keyword
   form (for example, ``min(a,b,c,key=func)``).

   .. versionchanged:: 2.5
      Added support for the optional *key* argument.


.. function:: next(iterator[, default])

   Retrieve the next item from the *iterator* by calling its :meth:`next`
   method.  If *default* is given, it is returned if the iterator is exhausted,
   otherwise :exc:`StopIteration` is raised.

   .. versionadded:: 2.6


.. function:: object()

   Return a new featureless object.  :class:`object` is a base for all new style
   classes.  It has the methods that are common to all instances of new style
   classes.

   .. versionadded:: 2.2

   .. versionchanged:: 2.3
      This function does not accept any arguments. Formerly, it accepted arguments but
      ignored them.


.. function:: oct(x)

   Convert an integer number (of any size) to an octal string.  The result is a
   valid Python expression.

   .. versionchanged:: 2.4
      Formerly only returned an unsigned literal.


.. function:: open(filename[, mode[, bufsize]])

   Open a file, returning an object of the :class:`file` type described in
   section :ref:`bltin-file-objects`.  If the file cannot be opened,
   :exc:`IOError` is raised.  When opening a file, it's preferable to use
   :func:`open` instead of invoking the :class:`file` constructor directly.

   The first two arguments are the same as for ``stdio``'s :cfunc:`fopen`:
   *filename* is the file name to be opened, and *mode* is a string indicating how
   the file is to be opened.

   The most commonly-used values of *mode* are ``'r'`` for reading, ``'w'`` for
   writing (truncating the file if it already exists), and ``'a'`` for appending
   (which on *some* Unix systems means that *all* writes append to the end of the
   file regardless of the current seek position).  If *mode* is omitted, it
   defaults to ``'r'``.  The default is to use text mode, which may convert
   ``'\n'`` characters to a platform-specific representation on writing and back
   on reading.  Thus, when opening a binary file, you should append ``'b'`` to
   the *mode* value to open the file in binary mode, which will improve
   portability.  (Appending ``'b'`` is useful even on systems that don't treat
   binary and text files differently, where it serves as documentation.)  See below
   for more possible values of *mode*.

   .. index::
      single: line-buffered I/O
      single: unbuffered I/O
      single: buffer size, I/O
      single: I/O control; buffering

   The optional *bufsize* argument specifies the file's desired buffer size: 0
   means unbuffered, 1 means line buffered, any other positive value means use a
   buffer of (approximately) that size.  A negative *bufsize* means to use the
   system default, which is usually line buffered for tty devices and fully
   buffered for other files.  If omitted, the system default is used. [#]_

   Modes ``'r+'``, ``'w+'`` and ``'a+'`` open the file for updating (note that
   ``'w+'`` truncates the file).  Append ``'b'`` to the mode to open the file in
   binary mode, on systems that differentiate between binary and text files; on
   systems that don't have this distinction, adding the ``'b'`` has no effect.

   In addition to the standard :cfunc:`fopen` values *mode* may be ``'U'`` or
   ``'rU'``.  Python is usually built with universal newline support; supplying
   ``'U'`` opens the file as a text file, but lines may be terminated by any of the
   following: the Unix end-of-line convention ``'\n'``,  the Macintosh convention
   ``'\r'``, or the Windows convention ``'\r\n'``. All of these external
   representations are seen as ``'\n'`` by the Python program. If Python is built
   without universal newline support a *mode* with ``'U'`` is the same as normal
   text mode.  Note that file objects so opened also have an attribute called
   :attr:`newlines` which has a value of ``None`` (if no newlines have yet been
   seen), ``'\n'``, ``'\r'``, ``'\r\n'``, or a tuple containing all the newline
   types seen.

   Python enforces that the mode, after stripping ``'U'``, begins with ``'r'``,
   ``'w'`` or ``'a'``.

   Python provides many file handling modules including
   :mod:`fileinput`, :mod:`os`, :mod:`os.path`, :mod:`tempfile`, and
   :mod:`shutil`.

   .. versionchanged:: 2.5
      Restriction on first letter of mode string introduced.


.. function:: ord(c)

   Given a string of length one, return an integer representing the Unicode code
   point of the character when the argument is a unicode object, or the value of
   the byte when the argument is an 8-bit string. For example, ``ord('a')`` returns
   the integer ``97``, ``ord(u'\u2020')`` returns ``8224``.  This is the inverse of
   :func:`chr` for 8-bit strings and of :func:`unichr` for unicode objects.  If a
   unicode argument is given and Python was built with UCS2 Unicode, then the
   character's code point must be in the range [0..65535] inclusive; otherwise the
   string length is two, and a :exc:`TypeError` will be raised.


.. function:: pow(x, y[, z])

   Return *x* to the power *y*; if *z* is present, return *x* to the power *y*,
   modulo *z* (computed more efficiently than ``pow(x, y) % z``). The two-argument
   form ``pow(x, y)`` is equivalent to using the power operator: ``x**y``.

   The arguments must have numeric types.  With mixed operand types, the coercion
   rules for binary arithmetic operators apply.  For int and long int operands, the
   result has the same type as the operands (after coercion) unless the second
   argument is negative; in that case, all arguments are converted to float and a
   float result is delivered.  For example, ``10**2`` returns ``100``, but
   ``10**-2`` returns ``0.01``.  (This last feature was added in Python 2.2.  In
   Python 2.1 and before, if both arguments were of integer types and the second
   argument was negative, an exception was raised.) If the second argument is
   negative, the third argument must be omitted. If *z* is present, *x* and *y*
   must be of integer types, and *y* must be non-negative.  (This restriction was
   added in Python 2.2.  In Python 2.1 and before, floating 3-argument ``pow()``
   returned platform-dependent results depending on floating-point rounding
   accidents.)


.. function:: print([object, ...][, sep=' '][, end='\n'][, file=sys.stdout])

   Print *object*\(s) to the stream *file*, separated by *sep* and followed by
   *end*.  *sep*, *end* and *file*, if present, must be given as keyword
   arguments.

   All non-keyword arguments are converted to strings like :func:`str` does and
   written to the stream, separated by *sep* and followed by *end*.  Both *sep*
   and *end* must be strings; they can also be ``None``, which means to use the
   default values.  If no *object* is given, :func:`print` will just write
   *end*.

   The *file* argument must be an object with a ``write(string)`` method; if it
   is not present or ``None``, :data:`sys.stdout` will be used.

   .. note::

      This function is not normally available as a builtin since the name
      ``print`` is recognized as the :keyword:`print` statement.  To disable the
      statement and use the :func:`print` function, use this future statement at
      the top of your module::

         from __future__ import print_function

   .. versionadded:: 2.6


.. function:: property([fget[, fset[, fdel[, doc]]]])

   Return a property attribute for :term:`new-style class`\es (classes that
   derive from :class:`object`).

   *fget* is a function for getting an attribute value, likewise *fset* is a
   function for setting, and *fdel* a function for del'ing, an attribute.  Typical
   use is to define a managed attribute x::

      class C(object):
          def __init__(self):
              self._x = None

          def getx(self):
              return self._x
          def setx(self, value):
              self._x = value
          def delx(self):
              del self._x
          x = property(getx, setx, delx, "I'm the 'x' property.")

   If given, *doc* will be the docstring of the property attribute. Otherwise, the
   property will copy *fget*'s docstring (if it exists).  This makes it possible to
   create read-only properties easily using :func:`property` as a :term:`decorator`::

      class Parrot(object):
          def __init__(self):
              self._voltage = 100000

          @property
          def voltage(self):
              """Get the current voltage."""
              return self._voltage

   turns the :meth:`voltage` method into a "getter" for a read-only attribute
   with the same name.

   A property object has :attr:`getter`, :attr:`setter`, and :attr:`deleter`
   methods usable as decorators that create a copy of the property with the
   corresponding accessor function set to the decorated function.  This is
   best explained with an example::

      class C(object):
          def __init__(self): self._x = None

          @property
          def x(self):
              """I'm the 'x' property."""
              return self._x

          @x.setter
          def x(self, value):
              self._x = value

          @x.deleter
          def x(self):
              del self._x

   This code is exactly equivalent to the first example.  Be sure to give the
   additional functions the same name as the original property (``x`` in this
   case.)

   The returned property also has the attributes ``fget``, ``fset``, and
   ``fdel`` corresponding to the constructor arguments.

   .. versionadded:: 2.2

   .. versionchanged:: 2.5
      Use *fget*'s docstring if no *doc* given.

   .. versionchanged:: 2.6 
      The ``getter``, ``setter``, and ``deleter`` attributes were added.


.. function:: range([start,] stop[, step])

   This is a versatile function to create lists containing arithmetic progressions.
   It is most often used in :keyword:`for` loops.  The arguments must be plain
   integers.  If the *step* argument is omitted, it defaults to ``1``.  If the
   *start* argument is omitted, it defaults to ``0``.  The full form returns a list
   of plain integers ``[start, start + step, start + 2 * step, ...]``.  If *step*
   is positive, the last element is the largest ``start + i * step`` less than
   *stop*; if *step* is negative, the last element is the smallest ``start + i *
   step`` greater than *stop*.  *step* must not be zero (or else :exc:`ValueError`
   is raised).  Example:

      >>> range(10)
      [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
      >>> range(1, 11)
      [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
      >>> range(0, 30, 5)
      [0, 5, 10, 15, 20, 25]
      >>> range(0, 10, 3)
      [0, 3, 6, 9]
      >>> range(0, -10, -1)
      [0, -1, -2, -3, -4, -5, -6, -7, -8, -9]
      >>> range(0)
      []
      >>> range(1, 0)
      []


.. function:: raw_input([prompt])

   If the *prompt* argument is present, it is written to standard output without a
   trailing newline.  The function then reads a line from input, converts it to a
   string (stripping a trailing newline), and returns that. When EOF is read,
   :exc:`EOFError` is raised. Example::

      >>> s = raw_input('--> ')
      --> Monty Python's Flying Circus
      >>> s
      "Monty Python's Flying Circus"

   If the :mod:`readline` module was loaded, then :func:`raw_input` will use it to
   provide elaborate line editing and history features.


.. function:: reduce(function, iterable[, initializer])

   Apply *function* of two arguments cumulatively to the items of *iterable*, from
   left to right, so as to reduce the iterable to a single value.  For example,
   ``reduce(lambda x, y: x+y, [1, 2, 3, 4, 5])`` calculates ``((((1+2)+3)+4)+5)``.
   The left argument, *x*, is the accumulated value and the right argument, *y*, is
   the update value from the *iterable*.  If the optional *initializer* is present,
   it is placed before the items of the iterable in the calculation, and serves as
   a default when the iterable is empty.  If *initializer* is not given and
   *iterable* contains only one item, the first item is returned.


.. function:: reload(module)

   Reload a previously imported *module*.  The argument must be a module object, so
   it must have been successfully imported before.  This is useful if you have
   edited the module source file using an external editor and want to try out the
   new version without leaving the Python interpreter.  The return value is the
   module object (the same as the *module* argument).

   When ``reload(module)`` is executed:

   * Python modules' code is recompiled and the module-level code reexecuted,
     defining a new set of objects which are bound to names in the module's
     dictionary.  The ``init`` function of extension modules is not called a second
     time.

   * As with all other objects in Python the old objects are only reclaimed after
     their reference counts drop to zero.

   * The names in the module namespace are updated to point to any new or changed
     objects.

   * Other references to the old objects (such as names external to the module) are
     not rebound to refer to the new objects and must be updated in each namespace
     where they occur if that is desired.

   There are a number of other caveats:

   If a module is syntactically correct but its initialization fails, the first
   :keyword:`import` statement for it does not bind its name locally, but does
   store a (partially initialized) module object in ``sys.modules``.  To reload the
   module you must first :keyword:`import` it again (this will bind the name to the
   partially initialized module object) before you can :func:`reload` it.

   When a module is reloaded, its dictionary (containing the module's global
   variables) is retained.  Redefinitions of names will override the old
   definitions, so this is generally not a problem.  If the new version of a module
   does not define a name that was defined by the old version, the old definition
   remains.  This feature can be used to the module's advantage if it maintains a
   global table or cache of objects --- with a :keyword:`try` statement it can test
   for the table's presence and skip its initialization if desired::

      try:
          cache
      except NameError:
          cache = {}

   It is legal though generally not very useful to reload built-in or dynamically
   loaded modules, except for :mod:`sys`, :mod:`__main__` and :mod:`__builtin__`.
   In many cases, however, extension modules are not designed to be initialized
   more than once, and may fail in arbitrary ways when reloaded.

   If a module imports objects from another module using :keyword:`from` ...
   :keyword:`import` ..., calling :func:`reload` for the other module does not
   redefine the objects imported from it --- one way around this is to re-execute
   the :keyword:`from` statement, another is to use :keyword:`import` and qualified
   names (*module*.*name*) instead.

   If a module instantiates instances of a class, reloading the module that defines
   the class does not affect the method definitions of the instances --- they
   continue to use the old class definition.  The same is true for derived classes.


.. function:: repr(object)

   Return a string containing a printable representation of an object.  This is
   the same value yielded by conversions (reverse quotes).  It is sometimes
   useful to be able to access this operation as an ordinary function.  For many
   types, this function makes an attempt to return a string that would yield an
   object with the same value when passed to :func:`eval`, otherwise the
   representation is a string enclosed in angle brackets that contains the name
   of the type of the object together with additional information often
   including the name and address of the object.  A class can control what this
   function returns for its instances by defining a :meth:`__repr__` method.


.. function:: reversed(seq)

   Return a reverse :term:`iterator`.  *seq* must be an object which has
   a :meth:`__reversed__` method or supports the sequence protocol (the
   :meth:`__len__` method and the :meth:`__getitem__` method with integer
   arguments starting at ``0``).

   .. versionadded:: 2.4

   .. versionchanged:: 2.6
      Added the possibility to write a custom :meth:`__reversed__` method.


.. function:: round(x[, n])

   Return the floating point value *x* rounded to *n* digits after the decimal
   point.  If *n* is omitted, it defaults to zero. The result is a floating point
   number.  Values are rounded to the closest multiple of 10 to the power minus
   *n*; if two multiples are equally close, rounding is done away from 0 (so. for
   example, ``round(0.5)`` is ``1.0`` and ``round(-0.5)`` is ``-1.0``).


.. function:: set([iterable])
   :noindex:

   Return a new set, optionally with elements are taken from *iterable*.
   The set type is described in :ref:`types-set`.

   For other containers see the built in :class:`dict`, :class:`list`, and
   :class:`tuple` classes, and the :mod:`collections` module.

   .. versionadded:: 2.4


.. function:: setattr(object, name, value)

   This is the counterpart of :func:`getattr`.  The arguments are an object, a
   string and an arbitrary value.  The string may name an existing attribute or a
   new attribute.  The function assigns the value to the attribute, provided the
   object allows it.  For example, ``setattr(x, 'foobar', 123)`` is equivalent to
   ``x.foobar = 123``.


.. function:: slice([start,] stop[, step])

   .. index:: single: Numerical Python

   Return a :term:`slice` object representing the set of indices specified by
   ``range(start, stop, step)``.  The *start* and *step* arguments default to
   ``None``.  Slice objects have read-only data attributes :attr:`start`,
   :attr:`stop` and :attr:`step` which merely return the argument values (or their
   default).  They have no other explicit functionality; however they are used by
   Numerical Python and other third party extensions.  Slice objects are also
   generated when extended indexing syntax is used.  For example:
   ``a[start:stop:step]`` or ``a[start:stop, i]``.


.. function:: sorted(iterable[, cmp[, key[, reverse]]])

   Return a new sorted list from the items in *iterable*.

   The optional arguments *cmp*, *key*, and *reverse* have the same meaning as
   those for the :meth:`list.sort` method (described in section
   :ref:`typesseq-mutable`).

   *cmp* specifies a custom comparison function of two arguments (iterable
   elements) which should return a negative, zero or positive number depending on
   whether the first argument is considered smaller than, equal to, or larger than
   the second argument: ``cmp=lambda x,y: cmp(x.lower(), y.lower())``.  The default
   value is ``None``.

   *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``.

   *reverse* is a boolean value.  If set to ``True``, then the list elements are
   sorted as if each comparison were reversed.

   In general, the *key* and *reverse* conversion processes are much faster than
   specifying an equivalent *cmp* function.  This is because *cmp* is called
   multiple times for each list element while *key* and *reverse* touch each
   element only once.

   .. versionadded:: 2.4


.. function:: staticmethod(function)

   Return a static method for *function*.

   A static method does not receive an implicit first argument. To declare a static
   method, use this idiom::

      class C:
          @staticmethod
          def f(arg1, arg2, ...): ...

   The ``@staticmethod`` form is a function :term:`decorator` -- see the
   description of function definitions in :ref:`function` for details.

   It can be called either on the class (such as ``C.f()``) or on an instance (such
   as ``C().f()``).  The instance is ignored except for its class.

   Static methods in Python are similar to those found in Java or C++. For a more
   advanced concept, see :func:`classmethod` in this section.

   For more information on static methods, consult the documentation on the
   standard type hierarchy in :ref:`types`.

   .. versionadded:: 2.2

   .. versionchanged:: 2.4
      Function decorator syntax added.


.. function:: str([object])

   Return a string containing a nicely printable representation of an object.  For
   strings, this returns the string itself.  The difference with ``repr(object)``
   is that ``str(object)`` does not always attempt to return a string that is
   acceptable to :func:`eval`; its goal is to return a printable string.  If no
   argument is given, returns the empty string, ``''``.

   For more information on strings see :ref:`typesseq` which describes sequence
   functionality (strings are sequences), and also the string-specific methods
   described in the :ref:`string-methods` section. To output formatted strings
   use template strings or the ``%`` operator described in the
   :ref:`string-formatting` section. In addition see the :ref:`stringservices`
   section. See also :func:`unicode`.


.. function:: sum(iterable[, start])

   Sums *start* and the items of an *iterable* from left to right and returns the
   total.  *start* defaults to ``0``. The *iterable*'s items are normally numbers,
   and are not allowed to be strings.  The fast, correct way to concatenate a
   sequence of strings is by calling ``''.join(sequence)``. Note that
   ``sum(range(n), m)`` is equivalent to ``reduce(operator.add, range(n), m)``

   .. versionadded:: 2.3


.. function:: super(type[, object-or-type])

   Return a "super" object that acts like the superclass of *type*.
   If the second argument is omitted the super
   object returned is unbound.  If the second argument is an object,
   ``isinstance(obj, type)`` must be true.  If the second argument is a type,
   ``issubclass(type2, type)`` must be true. :func:`super` only works for
   :term:`new-style class`\es.

   A typical use for calling a cooperative superclass method is::

      class C(B):
          def meth(self, arg):
              super(C, self).meth(arg)

   Note that :func:`super` is implemented as part of the binding process for
   explicit dotted attribute lookups such as ``super(C, self).__getitem__(name)``.
   Accordingly, :func:`super` is undefined for implicit lookups using statements or
   operators such as ``super(C, self)[name]``.

   .. versionadded:: 2.2


.. function:: tuple([iterable])

   Return a tuple whose items are the same and in the same order as *iterable*'s
   items.  *iterable* may be a sequence, a container that supports iteration, or an
   iterator object. If *iterable* is already a tuple, it is returned unchanged.
   For instance, ``tuple('abc')`` returns ``('a', 'b', 'c')`` and ``tuple([1, 2,
   3])`` returns ``(1, 2, 3)``.  If no argument is given, returns a new empty
   tuple, ``()``.

   :class:`tuple` is an immutable sequence type, as documented in
   :ref:`typesseq`. For other containers see the built in :class:`dict`,
   :class:`list`, and :class:`set` classes, and the :mod:`collections` module.


.. function:: type(object)

   .. index:: object: type

   Return the type of an *object*.  The return value is a type object.  The
   :func:`isinstance` built-in function is recommended for testing the type of an
   object.

   With three arguments, :func:`type` functions as a constructor as detailed below.


.. function:: type(name, bases, dict)
   :noindex:

   Return a new type object.  This is essentially a dynamic form of the
   :keyword:`class` statement. The *name* string is the class name and becomes the
   :attr:`__name__` attribute; the *bases* tuple itemizes the base classes and
   becomes the :attr:`__bases__` attribute; and the *dict* dictionary is the
   namespace containing definitions for class body and becomes the :attr:`__dict__`
   attribute.  For example, the following two statements create identical
   :class:`type` objects:

      >>> class X(object):
      ...     a = 1
      ...     
      >>> X = type('X', (object,), dict(a=1))

   .. versionadded:: 2.2


.. function:: unichr(i)

   Return the Unicode string of one character whose Unicode code is the integer
   *i*.  For example, ``unichr(97)`` returns the string ``u'a'``.  This is the
   inverse of :func:`ord` for Unicode strings.  The valid range for the argument
   depends how Python was configured -- it may be either UCS2 [0..0xFFFF] or UCS4
   [0..0x10FFFF]. :exc:`ValueError` is raised otherwise. For ASCII and 8-bit
   strings see :func:`chr`.

   .. versionadded:: 2.0


.. function:: unicode([object[, encoding [, errors]]])

   Return the Unicode string version of *object* using one of the following modes:

   If *encoding* and/or *errors* are given, ``unicode()`` will decode the object
   which can either be an 8-bit string or a character buffer using the codec for
   *encoding*. The *encoding* parameter is a string giving the name of an encoding;
   if the encoding is not known, :exc:`LookupError` is raised. Error handling is
   done according to *errors*; this specifies the treatment of characters which are
   invalid in the input encoding.  If *errors* is ``'strict'`` (the default), a
   :exc:`ValueError` is raised on errors, while a value of ``'ignore'`` causes
   errors to be silently ignored, and a value of ``'replace'`` causes the official
   Unicode replacement character, ``U+FFFD``, to be used to replace input
   characters which cannot be decoded.  See also the :mod:`codecs` module.

   If no optional parameters are given, ``unicode()`` will mimic the behaviour of
   ``str()`` except that it returns Unicode strings instead of 8-bit strings. More
   precisely, if *object* is a Unicode string or subclass it will return that
   Unicode string without any additional decoding applied.

   For objects which provide a :meth:`__unicode__` method, it will call this method
   without arguments to create a Unicode string. For all other objects, the 8-bit
   string version or representation is requested and then converted to a Unicode
   string using the codec for the default encoding in ``'strict'`` mode.

   For more information on Unicode strings see :ref:`typesseq` which describes
   sequence functionality (Unicode strings are sequences), and also the
   string-specific methods described in the :ref:`string-methods` section. To
   output formatted strings use template strings or the ``%`` operator described
   in the :ref:`string-formatting` section. In addition see the
   :ref:`stringservices` section. See also :func:`str`.

   .. versionadded:: 2.0

   .. versionchanged:: 2.2
      Support for :meth:`__unicode__` added.


.. function:: vars([object])

   Without arguments, return a dictionary corresponding to the current local symbol
   table.  With a module, class or class instance object as argument (or anything
   else that has a :attr:`__dict__` attribute), returns a dictionary corresponding
   to the object's symbol table.  The returned dictionary should not be modified:
   the effects on the corresponding symbol table are undefined. [#]_


.. function:: xrange([start,] stop[, step])

   This function is very similar to :func:`range`, but returns an "xrange object"
   instead of a list.  This is an opaque sequence type which yields the same values
   as the corresponding list, without actually storing them all simultaneously.
   The advantage of :func:`xrange` over :func:`range` is minimal (since
   :func:`xrange` still has to create the values when asked for them) except when a
   very large range is used on a memory-starved machine or when all of the range's
   elements are never used (such as when the loop is usually terminated with
   :keyword:`break`).

   .. note::

      :func:`xrange` is intended to be simple and fast. Implementations may impose
      restrictions to achieve this. The C implementation of Python restricts all
      arguments to native C longs ("short" Python integers), and also requires that
      the number of elements fit in a native C long.


.. function:: zip([iterable, ...])

   This function returns a list of tuples, where the *i*-th tuple contains the
   *i*-th element from each of the argument sequences or iterables. The returned
   list is truncated in length to the length of the shortest argument sequence.
   When there are multiple arguments which are all of the same length, :func:`zip`
   is similar to :func:`map` with an initial argument of ``None``. With a single
   sequence argument, it returns a list of 1-tuples. With no arguments, it returns
   an empty list.

   The left-to-right evaluation order of the iterables is guaranteed. This
   makes possible an idiom for clustering a data series into n-length groups
   using ``zip(*[iter(s)]*n)``.

   .. versionadded:: 2.0

   .. versionchanged:: 2.4
      Formerly, :func:`zip` required at least one argument and ``zip()`` raised a
      :exc:`TypeError` instead of returning an empty list.

..  ---------------------------------------------------------------------------


.. _non-essential-built-in-funcs:

Non-essential Built-in Functions
================================

There are several built-in functions that are no longer essential to learn, know
or use in modern Python programming.  They have been kept here to maintain
backwards compatibility with programs written for older versions of Python.

Python programmers, trainers, students and book writers should feel free to
bypass these functions without concerns about missing something important.


.. function:: apply(function, args[, keywords])

   The *function* argument must be a callable object (a user-defined or built-in
   function or method, or a class object) and the *args* argument must be a
   sequence.  The *function* is called with *args* as the argument list; the number
   of arguments is the length of the tuple. If the optional *keywords* argument is
   present, it must be a dictionary whose keys are strings.  It specifies keyword
   arguments to be added to the end of the argument list. Calling :func:`apply` is
   different from just calling ``function(args)``, since in that case there is
   always exactly one argument.  The use of :func:`apply` is equivalent to
   ``function(*args, **keywords)``.

   .. deprecated:: 2.3
      Use the extended call syntax with ``*args`` and ``**keywords`` instead.


.. function:: buffer(object[, offset[, size]])

   The *object* argument must be an object that supports the buffer call interface
   (such as strings, arrays, and buffers).  A new buffer object will be created
   which references the *object* argument. The buffer object will be a slice from
   the beginning of *object* (or from the specified *offset*). The slice will
   extend to the end of *object* (or will have a length given by the *size*
   argument).


.. function:: coerce(x, y)

   Return a tuple consisting of the two numeric arguments converted to a common
   type, using the same rules as used by arithmetic operations. If coercion is not
   possible, raise :exc:`TypeError`.


.. function:: intern(string)

   Enter *string* in the table of "interned" strings and return the interned string
   -- which is *string* itself or a copy. Interning strings is useful to gain a
   little performance on dictionary lookup -- if the keys in a dictionary are
   interned, and the lookup key is interned, the key comparisons (after hashing)
   can be done by a pointer compare instead of a string compare.  Normally, the
   names used in Python programs are automatically interned, and the dictionaries
   used to hold module, class or instance attributes have interned keys.

   .. versionchanged:: 2.3
      Interned strings are not immortal (like they used to be in Python 2.2 and
      before); you must keep a reference to the return value of :func:`intern` around
      to benefit from it.

.. rubric:: Footnotes

.. [#] It is used relatively rarely so does not warrant being made into a statement.

.. [#] Specifying a buffer size currently has no effect on systems that don't have
   :cfunc:`setvbuf`.  The interface to specify the buffer size is not done using a
   method that calls :cfunc:`setvbuf`, because that may dump core when called after
   any I/O has been performed, and there's no reliable way to determine whether
   this is the case.

.. [#] In the current implementation, local variable bindings cannot normally be
   affected this way, but variables retrieved from other scopes (such as modules)
   can be.  This may change.