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Raymond Hettinger53dbe392008-02-12 20:03:09 +00001:mod:`collections` --- Container datatypes
2==========================================
Georg Brandl116aa622007-08-15 14:28:22 +00003
4.. module:: collections
Raymond Hettinger53dbe392008-02-12 20:03:09 +00005 :synopsis: Container datatypes
Georg Brandl116aa622007-08-15 14:28:22 +00006.. moduleauthor:: Raymond Hettinger <python@rcn.com>
7.. sectionauthor:: Raymond Hettinger <python@rcn.com>
8
Christian Heimesfe337bf2008-03-23 21:54:12 +00009.. testsetup:: *
10
11 from collections import *
12 import itertools
13 __name__ = '<doctest>'
Georg Brandl116aa622007-08-15 14:28:22 +000014
Raymond Hettingera1993682011-01-27 01:20:32 +000015**Source code:** :source:`Lib/collections.py` and :source:`Lib/_abcoll.py`
Raymond Hettinger10480942011-01-10 03:26:08 +000016
Raymond Hettinger4f707fd2011-01-10 19:54:11 +000017--------------
18
Raymond Hettingera6b76ba2010-08-08 00:29:08 +000019This module implements specialized container datatypes providing alternatives to
20Python's general purpose built-in containers, :class:`dict`, :class:`list`,
21:class:`set`, and :class:`tuple`.
Christian Heimes0bd4e112008-02-12 22:59:25 +000022
Raymond Hettingera6b76ba2010-08-08 00:29:08 +000023===================== ====================================================================
24:func:`namedtuple` factory function for creating tuple subclasses with named fields
25:class:`deque` list-like container with fast appends and pops on either end
26:class:`Counter` dict subclass for counting hashable objects
27:class:`OrderedDict` dict subclass that remembers the order entries were added
28:class:`defaultdict` dict subclass that calls a factory function to supply missing values
29:class:`UserDict` wrapper around dictionary objects for easier dict subclassing
30:class:`UserList` wrapper around list objects for easier list subclassing
31:class:`UserString` wrapper around string objects for easier string subclassing
32===================== ====================================================================
Georg Brandl116aa622007-08-15 14:28:22 +000033
Raymond Hettingera6b76ba2010-08-08 00:29:08 +000034In addition to the concrete container classes, the collections module provides
Éric Araujofa088db2011-06-04 18:42:38 +020035:ref:`abstract base classes <collections-abstract-base-classes>` that can be
36used to test whether a class provides a particular interface, for example,
37whether it is hashable or a mapping.
Mark Summerfield08898b42007-09-05 08:43:04 +000038
39
Raymond Hettingerb8baf632009-01-14 02:20:07 +000040:class:`Counter` objects
41------------------------
42
43A counter tool is provided to support convenient and rapid tallies.
44For example::
45
Raymond Hettinger1c62dc92009-02-04 11:41:45 +000046 >>> # Tally occurrences of words in a list
Raymond Hettingerb8baf632009-01-14 02:20:07 +000047 >>> cnt = Counter()
Raymond Hettinger670eaec2009-01-21 23:14:07 +000048 >>> for word in ['red', 'blue', 'red', 'green', 'blue', 'blue']:
Raymond Hettingerb8baf632009-01-14 02:20:07 +000049 ... cnt[word] += 1
50 >>> cnt
51 Counter({'blue': 3, 'red': 2, 'green': 1})
52
Raymond Hettinger1c62dc92009-02-04 11:41:45 +000053 >>> # Find the ten most common words in Hamlet
Raymond Hettingerb8baf632009-01-14 02:20:07 +000054 >>> import re
55 >>> words = re.findall('\w+', open('hamlet.txt').read().lower())
Raymond Hettinger0bae6622009-01-20 13:00:59 +000056 >>> Counter(words).most_common(10)
Raymond Hettingerb8baf632009-01-14 02:20:07 +000057 [('the', 1143), ('and', 966), ('to', 762), ('of', 669), ('i', 631),
58 ('you', 554), ('a', 546), ('my', 514), ('hamlet', 471), ('in', 451)]
59
60.. class:: Counter([iterable-or-mapping])
61
Raymond Hettinger670eaec2009-01-21 23:14:07 +000062 A :class:`Counter` is a :class:`dict` subclass for counting hashable objects.
Raymond Hettingerb8baf632009-01-14 02:20:07 +000063 It is an unordered collection where elements are stored as dictionary keys
64 and their counts are stored as dictionary values. Counts are allowed to be
65 any integer value including zero or negative counts. The :class:`Counter`
66 class is similar to bags or multisets in other languages.
67
68 Elements are counted from an *iterable* or initialized from another
Benjamin Peterson25c95f12009-05-08 20:42:26 +000069 *mapping* (or counter):
Raymond Hettingerb8baf632009-01-14 02:20:07 +000070
Raymond Hettinger73662a52009-01-27 02:38:22 +000071 >>> c = Counter() # a new, empty counter
72 >>> c = Counter('gallahad') # a new counter from an iterable
73 >>> c = Counter({'red': 4, 'blue': 2}) # a new counter from a mapping
74 >>> c = Counter(cats=4, dogs=8) # a new counter from keyword args
Raymond Hettingerb8baf632009-01-14 02:20:07 +000075
Raymond Hettinger670eaec2009-01-21 23:14:07 +000076 Counter objects have a dictionary interface except that they return a zero
Benjamin Peterson25c95f12009-05-08 20:42:26 +000077 count for missing items instead of raising a :exc:`KeyError`:
Raymond Hettingerb8baf632009-01-14 02:20:07 +000078
Raymond Hettinger94adc8e2009-01-22 05:27:37 +000079 >>> c = Counter(['eggs', 'ham'])
Raymond Hettingerb8baf632009-01-14 02:20:07 +000080 >>> c['bacon'] # count of a missing element is zero
81 0
82
Raymond Hettinger94adc8e2009-01-22 05:27:37 +000083 Setting a count to zero does not remove an element from a counter.
84 Use ``del`` to remove it entirely:
Raymond Hettingerb8baf632009-01-14 02:20:07 +000085
Raymond Hettinger94adc8e2009-01-22 05:27:37 +000086 >>> c['sausage'] = 0 # counter entry with a zero count
87 >>> del c['sausage'] # del actually removes the entry
Raymond Hettingerb8baf632009-01-14 02:20:07 +000088
Benjamin Petersond45bf582009-03-02 21:44:54 +000089 .. versionadded:: 3.1
Raymond Hettingerb8baf632009-01-14 02:20:07 +000090
91
Ezio Melotti0be8b1c2010-04-04 06:53:44 +000092 Counter objects support three methods beyond those available for all
Raymond Hettingerb8baf632009-01-14 02:20:07 +000093 dictionaries:
94
95 .. method:: elements()
96
Raymond Hettinger670eaec2009-01-21 23:14:07 +000097 Return an iterator over elements repeating each as many times as its
98 count. Elements are returned in arbitrary order. If an element's count
99 is less than one, :meth:`elements` will ignore it.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000100
Raymond Hettinger0bae6622009-01-20 13:00:59 +0000101 >>> c = Counter(a=4, b=2, c=0, d=-2)
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000102 >>> list(c.elements())
103 ['a', 'a', 'a', 'a', 'b', 'b']
104
105 .. method:: most_common([n])
106
Raymond Hettinger73662a52009-01-27 02:38:22 +0000107 Return a list of the *n* most common elements and their counts from the
Raymond Hettingerd04fa312009-02-04 19:45:13 +0000108 most common to the least. If *n* is not specified, :func:`most_common`
Raymond Hettinger73662a52009-01-27 02:38:22 +0000109 returns *all* elements in the counter. Elements with equal counts are
Benjamin Peterson25c95f12009-05-08 20:42:26 +0000110 ordered arbitrarily:
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000111
112 >>> Counter('abracadabra').most_common(3)
113 [('a', 5), ('r', 2), ('b', 2)]
114
Raymond Hettinger9c01e442010-04-03 10:32:58 +0000115 .. method:: subtract([iterable-or-mapping])
116
117 Elements are subtracted from an *iterable* or from another *mapping*
118 (or counter). Like :meth:`dict.update` but subtracts counts instead
119 of replacing them. Both inputs and outputs may be zero or negative.
120
121 >>> c = Counter(a=4, b=2, c=0, d=-2)
122 >>> d = Counter(a=1, b=2, c=3, d=4)
123 >>> c.subtract(d)
124 Counter({'a': 3, 'b': 0, 'c': -3, 'd': -6})
125
Ezio Melotti0be8b1c2010-04-04 06:53:44 +0000126 .. versionadded:: 3.2
127
Raymond Hettinger670eaec2009-01-21 23:14:07 +0000128 The usual dictionary methods are available for :class:`Counter` objects
129 except for two which work differently for counters.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000130
131 .. method:: fromkeys(iterable)
132
Raymond Hettinger73662a52009-01-27 02:38:22 +0000133 This class method is not implemented for :class:`Counter` objects.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000134
135 .. method:: update([iterable-or-mapping])
136
Raymond Hettinger73662a52009-01-27 02:38:22 +0000137 Elements are counted from an *iterable* or added-in from another
138 *mapping* (or counter). Like :meth:`dict.update` but adds counts
139 instead of replacing them. Also, the *iterable* is expected to be a
140 sequence of elements, not a sequence of ``(key, value)`` pairs.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000141
142Common patterns for working with :class:`Counter` objects::
143
Raymond Hettinger73662a52009-01-27 02:38:22 +0000144 sum(c.values()) # total of all counts
145 c.clear() # reset all counts
146 list(c) # list unique elements
147 set(c) # convert to a set
148 dict(c) # convert to a regular dictionary
149 c.items() # convert to a list of (elem, cnt) pairs
150 Counter(dict(list_of_pairs)) # convert from a list of (elem, cnt) pairs
151 c.most_common()[:-n:-1] # n least common elements
152 c += Counter() # remove zero and negative counts
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000153
Raymond Hettinger72a95cc2009-02-25 22:51:40 +0000154Several mathematical operations are provided for combining :class:`Counter`
155objects to produce multisets (counters that have counts greater than zero).
156Addition and subtraction combine counters by adding or subtracting the counts
157of corresponding elements. Intersection and union return the minimum and
158maximum of corresponding counts. Each operation can accept inputs with signed
159counts, but the output will exclude results with counts of zero or less.
Raymond Hettinger4d2073a2009-01-20 03:41:22 +0000160
Raymond Hettingere0d1b9f2009-01-21 20:36:27 +0000161 >>> c = Counter(a=3, b=1)
162 >>> d = Counter(a=1, b=2)
Raymond Hettinger73662a52009-01-27 02:38:22 +0000163 >>> c + d # add two counters together: c[x] + d[x]
Raymond Hettinger4d2073a2009-01-20 03:41:22 +0000164 Counter({'a': 4, 'b': 3})
Raymond Hettinger73662a52009-01-27 02:38:22 +0000165 >>> c - d # subtract (keeping only positive counts)
Raymond Hettinger4d2073a2009-01-20 03:41:22 +0000166 Counter({'a': 2})
Raymond Hettinger73662a52009-01-27 02:38:22 +0000167 >>> c & d # intersection: min(c[x], d[x])
Raymond Hettinger4d2073a2009-01-20 03:41:22 +0000168 Counter({'a': 1, 'b': 1})
Raymond Hettinger73662a52009-01-27 02:38:22 +0000169 >>> c | d # union: max(c[x], d[x])
Raymond Hettinger4d2073a2009-01-20 03:41:22 +0000170 Counter({'a': 3, 'b': 2})
171
Raymond Hettinger22f18852010-04-12 21:45:14 +0000172.. note::
173
174 Counters were primarily designed to work with positive integers to represent
175 running counts; however, care was taken to not unnecessarily preclude use
176 cases needing other types or negative values. To help with those use cases,
177 this section documents the minimum range and type restrictions.
178
179 * The :class:`Counter` class itself is a dictionary subclass with no
180 restrictions on its keys and values. The values are intended to be numbers
181 representing counts, but you *could* store anything in the value field.
182
183 * The :meth:`most_common` method requires only that the values be orderable.
184
185 * For in-place operations such as ``c[key] += 1``, the value type need only
186 support addition and subtraction. So fractions, floats, and decimals would
187 work and negative values are supported. The same is also true for
188 :meth:`update` and :meth:`subtract` which allow negative and zero values
189 for both inputs and outputs.
190
191 * The multiset methods are designed only for use cases with positive values.
192 The inputs may be negative or zero, but only outputs with positive values
193 are created. There are no type restrictions, but the value type needs to
Ezio Melottie130a522011-10-19 10:58:56 +0300194 support addition, subtraction, and comparison.
Raymond Hettinger22f18852010-04-12 21:45:14 +0000195
196 * The :meth:`elements` method requires integer counts. It ignores zero and
197 negative counts.
198
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000199.. seealso::
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000200
Raymond Hettinger94adc8e2009-01-22 05:27:37 +0000201 * `Counter class <http://code.activestate.com/recipes/576611/>`_
202 adapted for Python 2.5 and an early `Bag recipe
203 <http://code.activestate.com/recipes/259174/>`_ for Python 2.4.
204
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000205 * `Bag class <http://www.gnu.org/software/smalltalk/manual-base/html_node/Bag.html>`_
206 in Smalltalk.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000207
Éric Araujo08c9bd52011-04-24 02:59:02 +0200208 * Wikipedia entry for `Multisets <http://en.wikipedia.org/wiki/Multiset>`_.
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000209
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000210 * `C++ multisets <http://www.demo2s.com/Tutorial/Cpp/0380__set-multiset/Catalog0380__set-multiset.htm>`_
Raymond Hettinger94adc8e2009-01-22 05:27:37 +0000211 tutorial with examples.
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000212
Raymond Hettinger94adc8e2009-01-22 05:27:37 +0000213 * For mathematical operations on multisets and their use cases, see
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000214 *Knuth, Donald. The Art of Computer Programming Volume II,
Éric Araujo08c9bd52011-04-24 02:59:02 +0200215 Section 4.6.3, Exercise 19*.
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000216
Raymond Hettinger670eaec2009-01-21 23:14:07 +0000217 * To enumerate all distinct multisets of a given size over a given set of
Raymond Hettingerd07d9392009-01-27 04:20:44 +0000218 elements, see :func:`itertools.combinations_with_replacement`.
Raymond Hettingerb14043c2009-01-20 23:44:31 +0000219
Raymond Hettinger94adc8e2009-01-22 05:27:37 +0000220 map(Counter, combinations_with_replacement('ABC', 2)) --> AA AB AC BB BC CC
Raymond Hettingerb8baf632009-01-14 02:20:07 +0000221
222
Georg Brandl116aa622007-08-15 14:28:22 +0000223:class:`deque` objects
224----------------------
225
Georg Brandlc2a4f4f2009-04-10 09:03:43 +0000226.. class:: deque([iterable, [maxlen]])
Georg Brandl116aa622007-08-15 14:28:22 +0000227
228 Returns a new deque object initialized left-to-right (using :meth:`append`) with
229 data from *iterable*. If *iterable* is not specified, the new deque is empty.
230
231 Deques are a generalization of stacks and queues (the name is pronounced "deck"
232 and is short for "double-ended queue"). Deques support thread-safe, memory
233 efficient appends and pops from either side of the deque with approximately the
234 same O(1) performance in either direction.
235
236 Though :class:`list` objects support similar operations, they are optimized for
237 fast fixed-length operations and incur O(n) memory movement costs for
238 ``pop(0)`` and ``insert(0, v)`` operations which change both the size and
239 position of the underlying data representation.
240
Georg Brandl116aa622007-08-15 14:28:22 +0000241
Georg Brandl9afde1c2007-11-01 20:32:30 +0000242 If *maxlen* is not specified or is *None*, deques may grow to an
243 arbitrary length. Otherwise, the deque is bounded to the specified maximum
244 length. Once a bounded length deque is full, when new items are added, a
245 corresponding number of items are discarded from the opposite end. Bounded
246 length deques provide functionality similar to the ``tail`` filter in
247 Unix. They are also useful for tracking transactions and other pools of data
248 where only the most recent activity is of interest.
249
Georg Brandl9afde1c2007-11-01 20:32:30 +0000250
Benjamin Petersone41251e2008-04-25 01:59:09 +0000251 Deque objects support the following methods:
Georg Brandl116aa622007-08-15 14:28:22 +0000252
Benjamin Petersone41251e2008-04-25 01:59:09 +0000253 .. method:: append(x)
Georg Brandl116aa622007-08-15 14:28:22 +0000254
Benjamin Petersone41251e2008-04-25 01:59:09 +0000255 Add *x* to the right side of the deque.
Georg Brandl116aa622007-08-15 14:28:22 +0000256
257
Benjamin Petersone41251e2008-04-25 01:59:09 +0000258 .. method:: appendleft(x)
Georg Brandl116aa622007-08-15 14:28:22 +0000259
Benjamin Petersone41251e2008-04-25 01:59:09 +0000260 Add *x* to the left side of the deque.
Georg Brandl116aa622007-08-15 14:28:22 +0000261
262
Benjamin Petersone41251e2008-04-25 01:59:09 +0000263 .. method:: clear()
Georg Brandl116aa622007-08-15 14:28:22 +0000264
Benjamin Petersone41251e2008-04-25 01:59:09 +0000265 Remove all elements from the deque leaving it with length 0.
Georg Brandl116aa622007-08-15 14:28:22 +0000266
267
Raymond Hettinger44459de2010-04-03 23:20:46 +0000268 .. method:: count(x)
269
270 Count the number of deque elements equal to *x*.
271
272 .. versionadded:: 3.2
273
Georg Brandl67b21b72010-08-17 15:07:14 +0000274
Benjamin Petersone41251e2008-04-25 01:59:09 +0000275 .. method:: extend(iterable)
Georg Brandl116aa622007-08-15 14:28:22 +0000276
Benjamin Petersone41251e2008-04-25 01:59:09 +0000277 Extend the right side of the deque by appending elements from the iterable
278 argument.
Georg Brandl116aa622007-08-15 14:28:22 +0000279
280
Benjamin Petersone41251e2008-04-25 01:59:09 +0000281 .. method:: extendleft(iterable)
Georg Brandl116aa622007-08-15 14:28:22 +0000282
Benjamin Petersone41251e2008-04-25 01:59:09 +0000283 Extend the left side of the deque by appending elements from *iterable*.
284 Note, the series of left appends results in reversing the order of
285 elements in the iterable argument.
Georg Brandl116aa622007-08-15 14:28:22 +0000286
287
Benjamin Petersone41251e2008-04-25 01:59:09 +0000288 .. method:: pop()
Georg Brandl116aa622007-08-15 14:28:22 +0000289
Benjamin Petersone41251e2008-04-25 01:59:09 +0000290 Remove and return an element from the right side of the deque. If no
291 elements are present, raises an :exc:`IndexError`.
Georg Brandl116aa622007-08-15 14:28:22 +0000292
293
Benjamin Petersone41251e2008-04-25 01:59:09 +0000294 .. method:: popleft()
Georg Brandl116aa622007-08-15 14:28:22 +0000295
Benjamin Petersone41251e2008-04-25 01:59:09 +0000296 Remove and return an element from the left side of the deque. If no
297 elements are present, raises an :exc:`IndexError`.
Georg Brandl116aa622007-08-15 14:28:22 +0000298
299
Benjamin Petersone41251e2008-04-25 01:59:09 +0000300 .. method:: remove(value)
Georg Brandl116aa622007-08-15 14:28:22 +0000301
Benjamin Petersone41251e2008-04-25 01:59:09 +0000302 Removed the first occurrence of *value*. If not found, raises a
303 :exc:`ValueError`.
Georg Brandl116aa622007-08-15 14:28:22 +0000304
Georg Brandl67b21b72010-08-17 15:07:14 +0000305
Raymond Hettingere5fdedb2009-12-10 00:47:21 +0000306 .. method:: reverse()
307
308 Reverse the elements of the deque in-place and then return ``None``.
309
310 .. versionadded:: 3.2
Georg Brandl116aa622007-08-15 14:28:22 +0000311
Georg Brandl67b21b72010-08-17 15:07:14 +0000312
Benjamin Petersone41251e2008-04-25 01:59:09 +0000313 .. method:: rotate(n)
Georg Brandl116aa622007-08-15 14:28:22 +0000314
Benjamin Petersone41251e2008-04-25 01:59:09 +0000315 Rotate the deque *n* steps to the right. If *n* is negative, rotate to
316 the left. Rotating one step to the right is equivalent to:
317 ``d.appendleft(d.pop())``.
318
Georg Brandl116aa622007-08-15 14:28:22 +0000319
Raymond Hettinger5bb0f0e2009-03-10 12:56:32 +0000320 Deque objects also provide one read-only attribute:
321
322 .. attribute:: maxlen
323
324 Maximum size of a deque or *None* if unbounded.
325
Raymond Hettinger150fb9c2009-03-10 22:48:06 +0000326 .. versionadded:: 3.1
Raymond Hettinger5bb0f0e2009-03-10 12:56:32 +0000327
328
Georg Brandl116aa622007-08-15 14:28:22 +0000329In addition to the above, deques support iteration, pickling, ``len(d)``,
330``reversed(d)``, ``copy.copy(d)``, ``copy.deepcopy(d)``, membership testing with
Benjamin Peterson206e3072008-10-19 14:07:49 +0000331the :keyword:`in` operator, and subscript references such as ``d[-1]``. Indexed
332access is O(1) at both ends but slows to O(n) in the middle. For fast random
333access, use lists instead.
Georg Brandl116aa622007-08-15 14:28:22 +0000334
Christian Heimesfe337bf2008-03-23 21:54:12 +0000335Example:
336
337.. doctest::
Georg Brandl116aa622007-08-15 14:28:22 +0000338
339 >>> from collections import deque
340 >>> d = deque('ghi') # make a new deque with three items
341 >>> for elem in d: # iterate over the deque's elements
Neal Norwitz752abd02008-05-13 04:55:24 +0000342 ... print(elem.upper())
Georg Brandl116aa622007-08-15 14:28:22 +0000343 G
344 H
345 I
346
347 >>> d.append('j') # add a new entry to the right side
348 >>> d.appendleft('f') # add a new entry to the left side
349 >>> d # show the representation of the deque
350 deque(['f', 'g', 'h', 'i', 'j'])
351
352 >>> d.pop() # return and remove the rightmost item
353 'j'
354 >>> d.popleft() # return and remove the leftmost item
355 'f'
356 >>> list(d) # list the contents of the deque
357 ['g', 'h', 'i']
358 >>> d[0] # peek at leftmost item
359 'g'
360 >>> d[-1] # peek at rightmost item
361 'i'
362
363 >>> list(reversed(d)) # list the contents of a deque in reverse
364 ['i', 'h', 'g']
365 >>> 'h' in d # search the deque
366 True
367 >>> d.extend('jkl') # add multiple elements at once
368 >>> d
369 deque(['g', 'h', 'i', 'j', 'k', 'l'])
370 >>> d.rotate(1) # right rotation
371 >>> d
372 deque(['l', 'g', 'h', 'i', 'j', 'k'])
373 >>> d.rotate(-1) # left rotation
374 >>> d
375 deque(['g', 'h', 'i', 'j', 'k', 'l'])
376
377 >>> deque(reversed(d)) # make a new deque in reverse order
378 deque(['l', 'k', 'j', 'i', 'h', 'g'])
379 >>> d.clear() # empty the deque
380 >>> d.pop() # cannot pop from an empty deque
381 Traceback (most recent call last):
382 File "<pyshell#6>", line 1, in -toplevel-
383 d.pop()
384 IndexError: pop from an empty deque
385
386 >>> d.extendleft('abc') # extendleft() reverses the input order
387 >>> d
388 deque(['c', 'b', 'a'])
389
390
Georg Brandl9afde1c2007-11-01 20:32:30 +0000391:class:`deque` Recipes
392^^^^^^^^^^^^^^^^^^^^^^
Georg Brandl116aa622007-08-15 14:28:22 +0000393
394This section shows various approaches to working with deques.
395
Raymond Hettingerd2ee64d2009-03-31 22:52:48 +0000396Bounded length deques provide functionality similar to the ``tail`` filter
397in Unix::
398
399 def tail(filename, n=10):
400 'Return the last n lines of a file'
401 return deque(open(filename), n)
402
403Another approach to using deques is to maintain a sequence of recently
404added elements by appending to the right and popping to the left::
405
406 def moving_average(iterable, n=3):
407 # moving_average([40, 30, 50, 46, 39, 44]) --> 40.0 42.0 45.0 43.0
408 # http://en.wikipedia.org/wiki/Moving_average
409 it = iter(iterable)
Raymond Hettingerd40285a2009-05-22 01:11:26 +0000410 d = deque(itertools.islice(it, n-1))
411 d.appendleft(0)
Raymond Hettingerd2ee64d2009-03-31 22:52:48 +0000412 s = sum(d)
Raymond Hettingerd2ee64d2009-03-31 22:52:48 +0000413 for elem in it:
414 s += elem - d.popleft()
415 d.append(elem)
416 yield s / n
417
Georg Brandl116aa622007-08-15 14:28:22 +0000418The :meth:`rotate` method provides a way to implement :class:`deque` slicing and
Ezio Melotti0639d5a2009-12-19 23:26:38 +0000419deletion. For example, a pure Python implementation of ``del d[n]`` relies on
Georg Brandl116aa622007-08-15 14:28:22 +0000420the :meth:`rotate` method to position elements to be popped::
421
422 def delete_nth(d, n):
423 d.rotate(-n)
424 d.popleft()
425 d.rotate(n)
426
427To implement :class:`deque` slicing, use a similar approach applying
428:meth:`rotate` to bring a target element to the left side of the deque. Remove
429old entries with :meth:`popleft`, add new entries with :meth:`extend`, and then
430reverse the rotation.
Georg Brandl116aa622007-08-15 14:28:22 +0000431With minor variations on that approach, it is easy to implement Forth style
432stack manipulations such as ``dup``, ``drop``, ``swap``, ``over``, ``pick``,
433``rot``, and ``roll``.
434
Georg Brandl116aa622007-08-15 14:28:22 +0000435
436:class:`defaultdict` objects
437----------------------------
438
Georg Brandl116aa622007-08-15 14:28:22 +0000439.. class:: defaultdict([default_factory[, ...]])
440
441 Returns a new dictionary-like object. :class:`defaultdict` is a subclass of the
Georg Brandl22b34312009-07-26 14:54:51 +0000442 built-in :class:`dict` class. It overrides one method and adds one writable
Georg Brandl116aa622007-08-15 14:28:22 +0000443 instance variable. The remaining functionality is the same as for the
444 :class:`dict` class and is not documented here.
445
446 The first argument provides the initial value for the :attr:`default_factory`
447 attribute; it defaults to ``None``. All remaining arguments are treated the same
448 as if they were passed to the :class:`dict` constructor, including keyword
449 arguments.
450
Georg Brandl116aa622007-08-15 14:28:22 +0000451
Benjamin Petersone41251e2008-04-25 01:59:09 +0000452 :class:`defaultdict` objects support the following method in addition to the
453 standard :class:`dict` operations:
Georg Brandl116aa622007-08-15 14:28:22 +0000454
Benjamin Petersond319ad52010-07-18 14:27:02 +0000455 .. method:: __missing__(key)
Georg Brandl116aa622007-08-15 14:28:22 +0000456
Benjamin Peterson5478b472008-09-17 22:25:09 +0000457 If the :attr:`default_factory` attribute is ``None``, this raises a
Benjamin Petersone41251e2008-04-25 01:59:09 +0000458 :exc:`KeyError` exception with the *key* as argument.
Georg Brandl116aa622007-08-15 14:28:22 +0000459
Benjamin Petersone41251e2008-04-25 01:59:09 +0000460 If :attr:`default_factory` is not ``None``, it is called without arguments
461 to provide a default value for the given *key*, this value is inserted in
462 the dictionary for the *key*, and returned.
Georg Brandl116aa622007-08-15 14:28:22 +0000463
Benjamin Petersone41251e2008-04-25 01:59:09 +0000464 If calling :attr:`default_factory` raises an exception this exception is
465 propagated unchanged.
Georg Brandl116aa622007-08-15 14:28:22 +0000466
Benjamin Petersone41251e2008-04-25 01:59:09 +0000467 This method is called by the :meth:`__getitem__` method of the
468 :class:`dict` class when the requested key is not found; whatever it
469 returns or raises is then returned or raised by :meth:`__getitem__`.
Georg Brandl116aa622007-08-15 14:28:22 +0000470
Benjamin Peterson871b9d12012-01-27 09:14:01 -0500471 Note that :meth:`__missing__` is *not* called for any operations besides
472 :meth:`__getitem__`. This means that :meth:`get` will, like normal
473 dictionaries, return ``None`` as a default rather than using
474 :attr:`default_factory`.
475
Georg Brandl116aa622007-08-15 14:28:22 +0000476
Benjamin Petersone41251e2008-04-25 01:59:09 +0000477 :class:`defaultdict` objects support the following instance variable:
Georg Brandl116aa622007-08-15 14:28:22 +0000478
Benjamin Petersone41251e2008-04-25 01:59:09 +0000479
Benjamin Petersond319ad52010-07-18 14:27:02 +0000480 .. attribute:: default_factory
Benjamin Petersone41251e2008-04-25 01:59:09 +0000481
482 This attribute is used by the :meth:`__missing__` method; it is
483 initialized from the first argument to the constructor, if present, or to
484 ``None``, if absent.
Georg Brandl116aa622007-08-15 14:28:22 +0000485
486
Georg Brandl116aa622007-08-15 14:28:22 +0000487:class:`defaultdict` Examples
488^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
489
490Using :class:`list` as the :attr:`default_factory`, it is easy to group a
Christian Heimesfe337bf2008-03-23 21:54:12 +0000491sequence of key-value pairs into a dictionary of lists:
Georg Brandl116aa622007-08-15 14:28:22 +0000492
493 >>> s = [('yellow', 1), ('blue', 2), ('yellow', 3), ('blue', 4), ('red', 1)]
494 >>> d = defaultdict(list)
495 >>> for k, v in s:
496 ... d[k].append(v)
497 ...
Ezio Melottic53a8942009-09-12 01:52:05 +0000498 >>> list(d.items())
Georg Brandl116aa622007-08-15 14:28:22 +0000499 [('blue', [2, 4]), ('red', [1]), ('yellow', [1, 3])]
500
501When each key is encountered for the first time, it is not already in the
502mapping; so an entry is automatically created using the :attr:`default_factory`
503function which returns an empty :class:`list`. The :meth:`list.append`
504operation then attaches the value to the new list. When keys are encountered
505again, the look-up proceeds normally (returning the list for that key) and the
506:meth:`list.append` operation adds another value to the list. This technique is
Christian Heimesfe337bf2008-03-23 21:54:12 +0000507simpler and faster than an equivalent technique using :meth:`dict.setdefault`:
Georg Brandl116aa622007-08-15 14:28:22 +0000508
509 >>> d = {}
510 >>> for k, v in s:
511 ... d.setdefault(k, []).append(v)
512 ...
Ezio Melottic53a8942009-09-12 01:52:05 +0000513 >>> list(d.items())
Georg Brandl116aa622007-08-15 14:28:22 +0000514 [('blue', [2, 4]), ('red', [1]), ('yellow', [1, 3])]
515
516Setting the :attr:`default_factory` to :class:`int` makes the
517:class:`defaultdict` useful for counting (like a bag or multiset in other
Christian Heimesfe337bf2008-03-23 21:54:12 +0000518languages):
Georg Brandl116aa622007-08-15 14:28:22 +0000519
520 >>> s = 'mississippi'
521 >>> d = defaultdict(int)
522 >>> for k in s:
523 ... d[k] += 1
524 ...
Ezio Melottic53a8942009-09-12 01:52:05 +0000525 >>> list(d.items())
Georg Brandl116aa622007-08-15 14:28:22 +0000526 [('i', 4), ('p', 2), ('s', 4), ('m', 1)]
527
528When a letter is first encountered, it is missing from the mapping, so the
529:attr:`default_factory` function calls :func:`int` to supply a default count of
530zero. The increment operation then builds up the count for each letter.
531
532The function :func:`int` which always returns zero is just a special case of
533constant functions. A faster and more flexible way to create constant functions
534is to use a lambda function which can supply any constant value (not just
Christian Heimesfe337bf2008-03-23 21:54:12 +0000535zero):
Georg Brandl116aa622007-08-15 14:28:22 +0000536
537 >>> def constant_factory(value):
538 ... return lambda: value
539 >>> d = defaultdict(constant_factory('<missing>'))
540 >>> d.update(name='John', action='ran')
541 >>> '%(name)s %(action)s to %(object)s' % d
542 'John ran to <missing>'
543
544Setting the :attr:`default_factory` to :class:`set` makes the
Christian Heimesfe337bf2008-03-23 21:54:12 +0000545:class:`defaultdict` useful for building a dictionary of sets:
Georg Brandl116aa622007-08-15 14:28:22 +0000546
547 >>> s = [('red', 1), ('blue', 2), ('red', 3), ('blue', 4), ('red', 1), ('blue', 4)]
548 >>> d = defaultdict(set)
549 >>> for k, v in s:
550 ... d[k].add(v)
551 ...
Ezio Melottic53a8942009-09-12 01:52:05 +0000552 >>> list(d.items())
Georg Brandl116aa622007-08-15 14:28:22 +0000553 [('blue', set([2, 4])), ('red', set([1, 3]))]
554
555
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000556:func:`namedtuple` Factory Function for Tuples with Named Fields
Christian Heimes790c8232008-01-07 21:14:23 +0000557----------------------------------------------------------------
Georg Brandl116aa622007-08-15 14:28:22 +0000558
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000559Named tuples assign meaning to each position in a tuple and allow for more readable,
560self-documenting code. They can be used wherever regular tuples are used, and
561they add the ability to access fields by name instead of position index.
Georg Brandl116aa622007-08-15 14:28:22 +0000562
Georg Brandlc2a4f4f2009-04-10 09:03:43 +0000563.. function:: namedtuple(typename, field_names, verbose=False, rename=False)
Georg Brandl116aa622007-08-15 14:28:22 +0000564
565 Returns a new tuple subclass named *typename*. The new subclass is used to
Christian Heimesc3f30c42008-02-22 16:37:40 +0000566 create tuple-like objects that have fields accessible by attribute lookup as
Georg Brandl116aa622007-08-15 14:28:22 +0000567 well as being indexable and iterable. Instances of the subclass also have a
Benjamin Peterson4469d0c2008-11-30 22:46:23 +0000568 helpful docstring (with typename and field_names) and a helpful :meth:`__repr__`
Georg Brandl116aa622007-08-15 14:28:22 +0000569 method which lists the tuple contents in a ``name=value`` format.
570
Benjamin Peterson4469d0c2008-11-30 22:46:23 +0000571 The *field_names* are a single string with each fieldname separated by whitespace
572 and/or commas, for example ``'x y'`` or ``'x, y'``. Alternatively, *field_names*
Christian Heimes25bb7832008-01-11 16:17:00 +0000573 can be a sequence of strings such as ``['x', 'y']``.
Georg Brandl9afde1c2007-11-01 20:32:30 +0000574
575 Any valid Python identifier may be used for a fieldname except for names
Christian Heimes0449f632007-12-15 01:27:15 +0000576 starting with an underscore. Valid identifiers consist of letters, digits,
577 and underscores but do not start with a digit or underscore and cannot be
Georg Brandlf6945182008-02-01 11:56:49 +0000578 a :mod:`keyword` such as *class*, *for*, *return*, *global*, *pass*,
Georg Brandl9afde1c2007-11-01 20:32:30 +0000579 or *raise*.
Georg Brandl116aa622007-08-15 14:28:22 +0000580
Benjamin Petersona86f2c02009-02-10 02:41:10 +0000581 If *rename* is true, invalid fieldnames are automatically replaced
582 with positional names. For example, ``['abc', 'def', 'ghi', 'abc']`` is
Raymond Hettinger85737b82009-04-02 22:37:59 +0000583 converted to ``['abc', '_1', 'ghi', '_3']``, eliminating the keyword
Benjamin Petersona86f2c02009-02-10 02:41:10 +0000584 ``def`` and the duplicate fieldname ``abc``.
585
Christian Heimes25bb7832008-01-11 16:17:00 +0000586 If *verbose* is true, the class definition is printed just before being built.
Georg Brandl116aa622007-08-15 14:28:22 +0000587
Georg Brandl9afde1c2007-11-01 20:32:30 +0000588 Named tuple instances do not have per-instance dictionaries, so they are
Thomas Wouters8ce81f72007-09-20 18:22:40 +0000589 lightweight and require no more memory than regular tuples.
Georg Brandl116aa622007-08-15 14:28:22 +0000590
Raymond Hettingerb62ad242009-03-02 22:16:43 +0000591 .. versionchanged:: 3.1
Georg Brandl67b21b72010-08-17 15:07:14 +0000592 Added support for *rename*.
Benjamin Petersona86f2c02009-02-10 02:41:10 +0000593
Christian Heimesfe337bf2008-03-23 21:54:12 +0000594
595.. doctest::
596 :options: +NORMALIZE_WHITESPACE
Georg Brandl116aa622007-08-15 14:28:22 +0000597
Raymond Hettinger0ef956f2010-11-21 23:23:29 +0000598 >>> # Basic example
Raymond Hettinger15aded82011-03-15 17:25:51 -0700599 >>> Point = namedtuple('Point', ['x', 'y'])
Raymond Hettinger0ef956f2010-11-21 23:23:29 +0000600 >>> p = Point(x=10, y=11)
601
602 >>> # Example using the verbose option to print the class definition
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000603 >>> Point = namedtuple('Point', 'x y', verbose=True)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000604 class Point(tuple):
605 'Point(x, y)'
Christian Heimesfe337bf2008-03-23 21:54:12 +0000606 <BLANKLINE>
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000607 __slots__ = ()
Christian Heimesfe337bf2008-03-23 21:54:12 +0000608 <BLANKLINE>
Christian Heimesfaf2f632008-01-06 16:59:19 +0000609 _fields = ('x', 'y')
Christian Heimesfe337bf2008-03-23 21:54:12 +0000610 <BLANKLINE>
Raymond Hettinger089ba7f2009-05-27 00:38:24 +0000611 def __new__(_cls, x, y):
Raymond Hettinger7b0d3c62010-04-02 18:54:02 +0000612 'Create a new instance of Point(x, y)'
Raymond Hettinger089ba7f2009-05-27 00:38:24 +0000613 return _tuple.__new__(_cls, (x, y))
Christian Heimesfe337bf2008-03-23 21:54:12 +0000614 <BLANKLINE>
Christian Heimesfaf2f632008-01-06 16:59:19 +0000615 @classmethod
Christian Heimesfe337bf2008-03-23 21:54:12 +0000616 def _make(cls, iterable, new=tuple.__new__, len=len):
Christian Heimesfaf2f632008-01-06 16:59:19 +0000617 'Make a new Point object from a sequence or iterable'
Christian Heimesfe337bf2008-03-23 21:54:12 +0000618 result = new(cls, iterable)
Christian Heimesfaf2f632008-01-06 16:59:19 +0000619 if len(result) != 2:
620 raise TypeError('Expected 2 arguments, got %d' % len(result))
621 return result
Christian Heimesfe337bf2008-03-23 21:54:12 +0000622 <BLANKLINE>
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000623 def __repr__(self):
Raymond Hettinger7b0d3c62010-04-02 18:54:02 +0000624 'Return a nicely formatted representation string'
Raymond Hettingerd331ce92010-08-08 01:13:42 +0000625 return self.__class__.__name__ + '(x=%r, y=%r)' % self
Christian Heimesfe337bf2008-03-23 21:54:12 +0000626 <BLANKLINE>
Raymond Hettingera4f52b12009-03-02 22:28:31 +0000627 def _asdict(self):
628 'Return a new OrderedDict which maps field names to their values'
629 return OrderedDict(zip(self._fields, self))
Christian Heimesfe337bf2008-03-23 21:54:12 +0000630 <BLANKLINE>
Raymond Hettinger3d890572011-06-02 23:40:24 -0700631 __dict__ = property(_asdict)
632 <BLANKLINE>
Raymond Hettinger089ba7f2009-05-27 00:38:24 +0000633 def _replace(_self, **kwds):
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000634 'Return a new Point object replacing specified fields with new values'
Raymond Hettinger089ba7f2009-05-27 00:38:24 +0000635 result = _self._make(map(kwds.pop, ('x', 'y'), _self))
Christian Heimesfaf2f632008-01-06 16:59:19 +0000636 if kwds:
Ezio Melotti8f7649e2009-09-13 04:48:45 +0000637 raise ValueError('Got unexpected field names: %r' % list(kwds.keys()))
Christian Heimesfaf2f632008-01-06 16:59:19 +0000638 return result
Georg Brandl48310cd2009-01-03 21:18:54 +0000639 <BLANKLINE>
640 def __getnewargs__(self):
Raymond Hettinger7b0d3c62010-04-02 18:54:02 +0000641 'Return self as a plain tuple. Used by copy and pickle.'
Benjamin Peterson41181742008-07-02 20:22:54 +0000642 return tuple(self)
Christian Heimesfe337bf2008-03-23 21:54:12 +0000643 <BLANKLINE>
Raymond Hettinger7b0d3c62010-04-02 18:54:02 +0000644 x = _property(_itemgetter(0), doc='Alias for field number 0')
645 y = _property(_itemgetter(1), doc='Alias for field number 1')
Georg Brandl116aa622007-08-15 14:28:22 +0000646
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000647 >>> p = Point(11, y=22) # instantiate with positional or keyword arguments
Christian Heimes99170a52007-12-19 02:07:34 +0000648 >>> p[0] + p[1] # indexable like the plain tuple (11, 22)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000649 33
650 >>> x, y = p # unpack like a regular tuple
651 >>> x, y
652 (11, 22)
Christian Heimesc3f30c42008-02-22 16:37:40 +0000653 >>> p.x + p.y # fields also accessible by name
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000654 33
655 >>> p # readable __repr__ with a name=value style
656 Point(x=11, y=22)
Georg Brandl116aa622007-08-15 14:28:22 +0000657
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000658Named tuples are especially useful for assigning field names to result tuples returned
659by the :mod:`csv` or :mod:`sqlite3` modules::
660
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000661 EmployeeRecord = namedtuple('EmployeeRecord', 'name, age, title, department, paygrade')
Georg Brandl9afde1c2007-11-01 20:32:30 +0000662
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000663 import csv
Christian Heimesfaf2f632008-01-06 16:59:19 +0000664 for emp in map(EmployeeRecord._make, csv.reader(open("employees.csv", "rb"))):
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000665 print(emp.name, emp.title)
666
Georg Brandl9afde1c2007-11-01 20:32:30 +0000667 import sqlite3
668 conn = sqlite3.connect('/companydata')
669 cursor = conn.cursor()
670 cursor.execute('SELECT name, age, title, department, paygrade FROM employees')
Christian Heimesfaf2f632008-01-06 16:59:19 +0000671 for emp in map(EmployeeRecord._make, cursor.fetchall()):
Christian Heimes00412232008-01-10 16:02:19 +0000672 print(emp.name, emp.title)
Georg Brandl9afde1c2007-11-01 20:32:30 +0000673
Christian Heimes99170a52007-12-19 02:07:34 +0000674In addition to the methods inherited from tuples, named tuples support
Christian Heimes2380ac72008-01-09 00:17:24 +0000675three additional methods and one attribute. To prevent conflicts with
676field names, the method and attribute names start with an underscore.
Christian Heimes99170a52007-12-19 02:07:34 +0000677
Benjamin Peterson0b9fb802010-07-18 14:23:36 +0000678.. classmethod:: somenamedtuple._make(iterable)
Christian Heimes99170a52007-12-19 02:07:34 +0000679
Christian Heimesfaf2f632008-01-06 16:59:19 +0000680 Class method that makes a new instance from an existing sequence or iterable.
Christian Heimes99170a52007-12-19 02:07:34 +0000681
Christian Heimesfe337bf2008-03-23 21:54:12 +0000682.. doctest::
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000683
Christian Heimesfaf2f632008-01-06 16:59:19 +0000684 >>> t = [11, 22]
685 >>> Point._make(t)
686 Point(x=11, y=22)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000687
Christian Heimes790c8232008-01-07 21:14:23 +0000688.. method:: somenamedtuple._asdict()
Georg Brandl9afde1c2007-11-01 20:32:30 +0000689
Raymond Hettingera4f52b12009-03-02 22:28:31 +0000690 Return a new :class:`OrderedDict` which maps field names to their corresponding
691 values::
Georg Brandl9afde1c2007-11-01 20:32:30 +0000692
Christian Heimes0449f632007-12-15 01:27:15 +0000693 >>> p._asdict()
Raymond Hettingera4f52b12009-03-02 22:28:31 +0000694 OrderedDict([('x', 11), ('y', 22)])
695
Raymond Hettingera88e4da2009-03-03 05:12:27 +0000696 .. versionchanged:: 3.1
Raymond Hettingera4f52b12009-03-02 22:28:31 +0000697 Returns an :class:`OrderedDict` instead of a regular :class:`dict`.
Christian Heimesfe337bf2008-03-23 21:54:12 +0000698
Christian Heimes790c8232008-01-07 21:14:23 +0000699.. method:: somenamedtuple._replace(kwargs)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000700
Christian Heimesfe337bf2008-03-23 21:54:12 +0000701 Return a new instance of the named tuple replacing specified fields with new
702 values:
Thomas Wouters8ce81f72007-09-20 18:22:40 +0000703
704::
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000705
706 >>> p = Point(x=11, y=22)
Christian Heimes0449f632007-12-15 01:27:15 +0000707 >>> p._replace(x=33)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000708 Point(x=33, y=22)
709
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000710 >>> for partnum, record in inventory.items():
Christian Heimes454f37b2008-01-10 00:10:02 +0000711 ... inventory[partnum] = record._replace(price=newprices[partnum], timestamp=time.now())
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000712
Christian Heimes790c8232008-01-07 21:14:23 +0000713.. attribute:: somenamedtuple._fields
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000714
Christian Heimes2380ac72008-01-09 00:17:24 +0000715 Tuple of strings listing the field names. Useful for introspection
Georg Brandl9afde1c2007-11-01 20:32:30 +0000716 and for creating new named tuple types from existing named tuples.
Thomas Wouters8ce81f72007-09-20 18:22:40 +0000717
Christian Heimesfe337bf2008-03-23 21:54:12 +0000718.. doctest::
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000719
Christian Heimes0449f632007-12-15 01:27:15 +0000720 >>> p._fields # view the field names
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000721 ('x', 'y')
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000722
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000723 >>> Color = namedtuple('Color', 'red green blue')
Christian Heimes0449f632007-12-15 01:27:15 +0000724 >>> Pixel = namedtuple('Pixel', Point._fields + Color._fields)
Thomas Wouters1b7f8912007-09-19 03:06:30 +0000725 >>> Pixel(11, 22, 128, 255, 0)
Christian Heimes454f37b2008-01-10 00:10:02 +0000726 Pixel(x=11, y=22, red=128, green=255, blue=0)
Georg Brandl116aa622007-08-15 14:28:22 +0000727
Christian Heimes0449f632007-12-15 01:27:15 +0000728To retrieve a field whose name is stored in a string, use the :func:`getattr`
Christian Heimesfe337bf2008-03-23 21:54:12 +0000729function:
Christian Heimes0449f632007-12-15 01:27:15 +0000730
731 >>> getattr(p, 'x')
732 11
733
Raymond Hettinger651453a2009-02-11 00:20:02 +0000734To convert a dictionary to a named tuple, use the double-star-operator
735(as described in :ref:`tut-unpacking-arguments`):
Christian Heimes99170a52007-12-19 02:07:34 +0000736
737 >>> d = {'x': 11, 'y': 22}
738 >>> Point(**d)
739 Point(x=11, y=22)
740
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000741Since a named tuple is a regular Python class, it is easy to add or change
Christian Heimes043d6f62008-01-07 17:19:16 +0000742functionality with a subclass. Here is how to add a calculated field and
Christian Heimesfe337bf2008-03-23 21:54:12 +0000743a fixed-width print format:
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000744
Christian Heimes043d6f62008-01-07 17:19:16 +0000745 >>> class Point(namedtuple('Point', 'x y')):
Raymond Hettinger15aded82011-03-15 17:25:51 -0700746 __slots__ = ()
747 @property
748 def hypot(self):
749 return (self.x ** 2 + self.y ** 2) ** 0.5
750 def __str__(self):
751 return 'Point: x=%6.3f y=%6.3f hypot=%6.3f' % (self.x, self.y, self.hypot)
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000752
Georg Brandl0df79792008-10-04 18:33:26 +0000753 >>> for p in Point(3, 4), Point(14, 5/7):
Raymond Hettinger15aded82011-03-15 17:25:51 -0700754 print(p)
Christian Heimes25bb7832008-01-11 16:17:00 +0000755 Point: x= 3.000 y= 4.000 hypot= 5.000
756 Point: x=14.000 y= 0.714 hypot=14.018
Christian Heimes043d6f62008-01-07 17:19:16 +0000757
Georg Brandlaf5c2382009-12-28 08:02:38 +0000758The subclass shown above sets ``__slots__`` to an empty tuple. This helps
Christian Heimes679db4a2008-01-18 09:56:22 +0000759keep memory requirements low by preventing the creation of instance dictionaries.
760
Christian Heimes2380ac72008-01-09 00:17:24 +0000761
762Subclassing is not useful for adding new, stored fields. Instead, simply
Christian Heimesfe337bf2008-03-23 21:54:12 +0000763create a new named tuple type from the :attr:`_fields` attribute:
Christian Heimes2380ac72008-01-09 00:17:24 +0000764
Christian Heimes25bb7832008-01-11 16:17:00 +0000765 >>> Point3D = namedtuple('Point3D', Point._fields + ('z',))
Christian Heimes2380ac72008-01-09 00:17:24 +0000766
767Default values can be implemented by using :meth:`_replace` to
Christian Heimesfe337bf2008-03-23 21:54:12 +0000768customize a prototype instance:
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000769
770 >>> Account = namedtuple('Account', 'owner balance transaction_count')
Christian Heimes587c2bf2008-01-19 16:21:02 +0000771 >>> default_account = Account('<owner name>', 0.0, 0)
772 >>> johns_account = default_account._replace(owner='John')
Guido van Rossum3d392eb2007-11-16 00:35:22 +0000773
Christian Heimese4ca8152008-05-08 17:18:53 +0000774Enumerated constants can be implemented with named tuples, but it is simpler
775and more efficient to use a simple class declaration:
776
777 >>> Status = namedtuple('Status', 'open pending closed')._make(range(3))
778 >>> Status.open, Status.pending, Status.closed
779 (0, 1, 2)
780 >>> class Status:
Raymond Hettinger15aded82011-03-15 17:25:51 -0700781 open, pending, closed = range(3)
Christian Heimese4ca8152008-05-08 17:18:53 +0000782
Raymond Hettinger651453a2009-02-11 00:20:02 +0000783.. seealso::
Thomas Wouters47b49bf2007-08-30 22:15:33 +0000784
Raymond Hettinger6c94e6f2011-03-31 15:46:06 -0700785 * `Named tuple recipe <http://code.activestate.com/recipes/500261/>`_
786 adapted for Python 2.4.
787
788 * `Recipe for named tuple abstract base class with a metaclass mix-in
789 <http://code.activestate.com/recipes/577629-namedtupleabc-abstract-base-class-mix-in-for-named/>`_
790 by Jan Kaliszewski. Besides providing an :term:`abstract base class` for
791 named tuples, it also supports an alternate :term:`metaclass`-based
792 constructor that is convenient for use cases where named tuples are being
793 subclassed.
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000794
795
Raymond Hettinger2d32f632009-03-02 21:24:57 +0000796:class:`OrderedDict` objects
797----------------------------
798
799Ordered dictionaries are just like regular dictionaries but they remember the
800order that items were inserted. When iterating over an ordered dictionary,
801the items are returned in the order their keys were first added.
802
803.. class:: OrderedDict([items])
804
805 Return an instance of a dict subclass, supporting the usual :class:`dict`
806 methods. An *OrderedDict* is a dict that remembers the order that keys
807 were first inserted. If a new entry overwrites an existing entry, the
808 original insertion position is left unchanged. Deleting an entry and
809 reinserting it will move it to the end.
810
Benjamin Petersond45bf582009-03-02 21:44:54 +0000811 .. versionadded:: 3.1
Raymond Hettinger2d32f632009-03-02 21:24:57 +0000812
Benjamin Petersond319ad52010-07-18 14:27:02 +0000813 .. method:: popitem(last=True)
Raymond Hettingerdc879f02009-03-19 20:30:56 +0000814
Benjamin Petersond319ad52010-07-18 14:27:02 +0000815 The :meth:`popitem` method for ordered dictionaries returns and removes a
816 (key, value) pair. The pairs are returned in LIFO order if *last* is true
817 or FIFO order if false.
Raymond Hettinger2d32f632009-03-02 21:24:57 +0000818
Raymond Hettingerf45abc92010-09-06 21:26:09 +0000819 .. method:: move_to_end(key, last=True)
820
821 Move an existing *key* to either end of an ordered dictionary. The item
822 is moved to the right end if *last* is true (the default) or to the
823 beginning if *last* is false. Raises :exc:`KeyError` if the *key* does
824 not exist::
825
826 >>> d = OrderedDict.fromkeys('abcde')
827 >>> d.move_to_end('b')
Raymond Hettinger4d5208d2011-06-25 11:39:00 +0200828 >>> ''.join(d.keys())
Raymond Hettingerf45abc92010-09-06 21:26:09 +0000829 'acdeb'
Éric Araujo1cb25aa2010-11-06 07:03:07 +0000830 >>> d.move_to_end('b', last=False)
Raymond Hettinger4d5208d2011-06-25 11:39:00 +0200831 >>> ''.join(d.keys())
Raymond Hettingerf45abc92010-09-06 21:26:09 +0000832 'bacde'
833
834 .. versionadded:: 3.2
835
Raymond Hettingere9091502009-05-19 17:40:07 +0000836In addition to the usual mapping methods, ordered dictionaries also support
837reverse iteration using :func:`reversed`.
838
Raymond Hettinger2d32f632009-03-02 21:24:57 +0000839Equality tests between :class:`OrderedDict` objects are order-sensitive
840and are implemented as ``list(od1.items())==list(od2.items())``.
841Equality tests between :class:`OrderedDict` objects and other
842:class:`Mapping` objects are order-insensitive like regular dictionaries.
843This allows :class:`OrderedDict` objects to be substituted anywhere a
844regular dictionary is used.
845
Raymond Hettinger36180782009-04-09 22:34:23 +0000846The :class:`OrderedDict` constructor and :meth:`update` method both accept
847keyword arguments, but their order is lost because Python's function call
848semantics pass-in keyword arguments using a regular unordered dictionary.
849
Raymond Hettingerdc879f02009-03-19 20:30:56 +0000850.. seealso::
851
852 `Equivalent OrderedDict recipe <http://code.activestate.com/recipes/576693/>`_
853 that runs on Python 2.4 or later.
854
Raymond Hettinger7bba6832011-04-15 17:43:19 -0700855:class:`OrderedDict` Examples and Recipes
856^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
857
Raymond Hettinger0e312012009-11-10 18:35:46 +0000858Since an ordered dictionary remembers its insertion order, it can be used
859in conjuction with sorting to make a sorted dictionary::
860
861 >>> # regular unsorted dictionary
862 >>> d = {'banana': 3, 'apple':4, 'pear': 1, 'orange': 2}
863
864 >>> # dictionary sorted by key
865 >>> OrderedDict(sorted(d.items(), key=lambda t: t[0]))
866 OrderedDict([('apple', 4), ('banana', 3), ('orange', 2), ('pear', 1)])
867
868 >>> # dictionary sorted by value
869 >>> OrderedDict(sorted(d.items(), key=lambda t: t[1]))
870 OrderedDict([('pear', 1), ('orange', 2), ('banana', 3), ('apple', 4)])
871
872 >>> # dictionary sorted by length of the key string
873 >>> OrderedDict(sorted(d.items(), key=lambda t: len(t[0])))
874 OrderedDict([('pear', 1), ('apple', 4), ('orange', 2), ('banana', 3)])
875
876The new sorted dictionaries maintain their sort order when entries
877are deleted. But when new keys are added, the keys are appended
878to the end and the sort is not maintained.
879
Raymond Hettinger4821ef82010-07-31 10:14:41 +0000880It is also straight-forward to create an ordered dictionary variant
881that the remembers the order the keys were *last* inserted.
882If a new entry overwrites an existing entry, the
883original insertion position is changed and moved to the end::
884
885 class LastUpdatedOrderedDict(OrderedDict):
Georg Brandl77570e22010-12-18 16:21:58 +0000886 'Store items in the order the keys were last added'
Raymond Hettinger7bba6832011-04-15 17:43:19 -0700887
Raymond Hettinger4821ef82010-07-31 10:14:41 +0000888 def __setitem__(self, key, value):
889 if key in self:
890 del self[key]
891 OrderedDict.__setitem__(self, key, value)
892
Éric Araujo889a7dc2011-08-19 00:40:46 +0200893An ordered dictionary can be combined with the :class:`Counter` class
Raymond Hettinger7bba6832011-04-15 17:43:19 -0700894so that the counter remembers the order elements are first encountered::
895
896 class OrderedCounter(Counter, OrderedDict):
897 'Counter that remembers the order elements are first encountered'
898
Raymond Hettinger7bba6832011-04-15 17:43:19 -0700899 def __repr__(self):
900 return '%s(%r)' % (self.__class__.__name__, OrderedDict(self))
901
902 def __reduce__(self):
903 return self.__class__, (OrderedDict(self),)
904
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000905
906:class:`UserDict` objects
Mark Summerfield8f2d0062008-02-06 13:30:44 +0000907-------------------------
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000908
Georg Brandl48310cd2009-01-03 21:18:54 +0000909The class, :class:`UserDict` acts as a wrapper around dictionary objects.
910The need for this class has been partially supplanted by the ability to
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000911subclass directly from :class:`dict`; however, this class can be easier
912to work with because the underlying dictionary is accessible as an
913attribute.
914
915.. class:: UserDict([initialdata])
916
917 Class that simulates a dictionary. The instance's contents are kept in a
918 regular dictionary, which is accessible via the :attr:`data` attribute of
919 :class:`UserDict` instances. If *initialdata* is provided, :attr:`data` is
920 initialized with its contents; note that a reference to *initialdata* will not
921 be kept, allowing it be used for other purposes.
922
Benjamin Petersond319ad52010-07-18 14:27:02 +0000923 In addition to supporting the methods and operations of mappings,
924 :class:`UserDict` instances provide the following attribute:
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000925
Benjamin Petersond319ad52010-07-18 14:27:02 +0000926 .. attribute:: data
Raymond Hettingere4c96ad2008-02-06 01:23:58 +0000927
Benjamin Petersond319ad52010-07-18 14:27:02 +0000928 A real dictionary used to store the contents of the :class:`UserDict`
929 class.
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000930
931
932
933:class:`UserList` objects
934-------------------------
935
936This class acts as a wrapper around list objects. It is a useful base class
Georg Brandl48310cd2009-01-03 21:18:54 +0000937for your own list-like classes which can inherit from them and override
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000938existing methods or add new ones. In this way, one can add new behaviors to
939lists.
940
Georg Brandl48310cd2009-01-03 21:18:54 +0000941The need for this class has been partially supplanted by the ability to
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000942subclass directly from :class:`list`; however, this class can be easier
943to work with because the underlying list is accessible as an attribute.
944
945.. class:: UserList([list])
946
947 Class that simulates a list. The instance's contents are kept in a regular
948 list, which is accessible via the :attr:`data` attribute of :class:`UserList`
949 instances. The instance's contents are initially set to a copy of *list*,
950 defaulting to the empty list ``[]``. *list* can be any iterable, for
951 example a real Python list or a :class:`UserList` object.
952
Benjamin Petersond319ad52010-07-18 14:27:02 +0000953 In addition to supporting the methods and operations of mutable sequences,
954 :class:`UserList` instances provide the following attribute:
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000955
Benjamin Petersond319ad52010-07-18 14:27:02 +0000956 .. attribute:: data
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000957
Benjamin Petersond319ad52010-07-18 14:27:02 +0000958 A real :class:`list` object used to store the contents of the
959 :class:`UserList` class.
Raymond Hettinger53dbe392008-02-12 20:03:09 +0000960
961**Subclassing requirements:** Subclasses of :class:`UserList` are expect to
962offer a constructor which can be called with either no arguments or one
963argument. List operations which return a new sequence attempt to create an
964instance of the actual implementation class. To do so, it assumes that the
965constructor can be called with a single parameter, which is a sequence object
966used as a data source.
967
968If a derived class does not wish to comply with this requirement, all of the
969special methods supported by this class will need to be overridden; please
970consult the sources for information about the methods which need to be provided
971in that case.
Raymond Hettingerb3a65f82008-02-21 22:11:37 +0000972
973:class:`UserString` objects
Christian Heimesc3f30c42008-02-22 16:37:40 +0000974---------------------------
Raymond Hettingerb3a65f82008-02-21 22:11:37 +0000975
Georg Brandl48310cd2009-01-03 21:18:54 +0000976The class, :class:`UserString` acts as a wrapper around string objects.
977The need for this class has been partially supplanted by the ability to
Raymond Hettingerb3a65f82008-02-21 22:11:37 +0000978subclass directly from :class:`str`; however, this class can be easier
979to work with because the underlying string is accessible as an
980attribute.
981
982.. class:: UserString([sequence])
983
984 Class that simulates a string or a Unicode string object. The instance's
Georg Brandl48310cd2009-01-03 21:18:54 +0000985 content is kept in a regular string object, which is accessible via the
986 :attr:`data` attribute of :class:`UserString` instances. The instance's
Raymond Hettingerb3a65f82008-02-21 22:11:37 +0000987 contents are initially set to a copy of *sequence*. The *sequence* can
988 be an instance of :class:`bytes`, :class:`str`, :class:`UserString` (or a
989 subclass) or an arbitrary sequence which can be converted into a string using
990 the built-in :func:`str` function.
Raymond Hettingera6b76ba2010-08-08 00:29:08 +0000991
Éric Araujo889a7dc2011-08-19 00:40:46 +0200992
Éric Araujofa088db2011-06-04 18:42:38 +0200993.. _collections-abstract-base-classes:
Raymond Hettingera6b76ba2010-08-08 00:29:08 +0000994
995ABCs - abstract base classes
996----------------------------
997
Ezio Melotti9b2e67c2011-03-28 13:50:41 +0300998The collections module offers the following :term:`ABCs <abstract base class>`:
Raymond Hettingera6b76ba2010-08-08 00:29:08 +0000999
1000========================= ===================== ====================== ====================================================
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001001ABC Inherits from Abstract Methods Mixin Methods
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001002========================= ===================== ====================== ====================================================
1003:class:`Container` ``__contains__``
1004:class:`Hashable` ``__hash__``
1005:class:`Iterable` ``__iter__``
1006:class:`Iterator` :class:`Iterable` ``__next__`` ``__iter__``
1007:class:`Sized` ``__len__``
1008:class:`Callable` ``__call__``
1009
Georg Brandle951e912011-02-03 07:08:25 +00001010:class:`Sequence` :class:`Sized`, ``__getitem__`` ``__contains__``, ``__iter__``, ``__reversed__``,
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001011 :class:`Iterable`, ``index``, and ``count``
1012 :class:`Container`
1013
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001014:class:`MutableSequence` :class:`Sequence` ``__setitem__``, Inherited :class:`Sequence` methods and
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001015 ``__delitem__``, ``append``, ``reverse``, ``extend``, ``pop``,
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001016 ``insert`` ``remove``, and ``__iadd__``
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001017
1018:class:`Set` :class:`Sized`, ``__le__``, ``__lt__``, ``__eq__``, ``__ne__``,
Georg Brandle951e912011-02-03 07:08:25 +00001019 :class:`Iterable`, ``__gt__``, ``__ge__``, ``__and__``, ``__or__``,
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001020 :class:`Container` ``__sub__``, ``__xor__``, and ``isdisjoint``
1021
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001022:class:`MutableSet` :class:`Set` ``add``, Inherited :class:`Set` methods and
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001023 ``discard`` ``clear``, ``pop``, ``remove``, ``__ior__``,
1024 ``__iand__``, ``__ixor__``, and ``__isub__``
1025
1026:class:`Mapping` :class:`Sized`, ``__getitem__`` ``__contains__``, ``keys``, ``items``, ``values``,
1027 :class:`Iterable`, ``get``, ``__eq__``, and ``__ne__``
1028 :class:`Container`
1029
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001030:class:`MutableMapping` :class:`Mapping` ``__setitem__``, Inherited :class:`Mapping` methods and
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001031 ``__delitem__`` ``pop``, ``popitem``, ``clear``, ``update``,
1032 and ``setdefault``
1033
1034
1035:class:`MappingView` :class:`Sized` ``__len__``
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001036:class:`ItemsView` :class:`MappingView`, ``__contains__``,
1037 :class:`Set` ``__iter__``
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001038:class:`KeysView` :class:`MappingView`, ``__contains__``,
1039 :class:`Set` ``__iter__``
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001040:class:`ValuesView` :class:`MappingView` ``__contains__``, ``__iter__``
1041========================= ===================== ====================== ====================================================
1042
Ezio Melotti9b2e67c2011-03-28 13:50:41 +03001043
1044.. class:: Container
1045 Hashable
1046 Sized
1047 Callable
1048
1049 ABCs for classes that provide respectively the methods :meth:`__contains__`,
1050 :meth:`__hash__`, :meth:`__len__`, and :meth:`__call__`.
1051
1052.. class:: Iterable
1053
1054 ABC for classes that provide the :meth:`__iter__` method.
1055 See also the definition of :term:`iterable`.
1056
1057.. class:: Iterator
1058
1059 ABC for classes that provide the :meth:`__iter__` and :meth:`next` methods.
1060 See also the definition of :term:`iterator`.
1061
1062.. class:: Sequence
1063 MutableSequence
1064
1065 ABCs for read-only and mutable :term:`sequences <sequence>`.
1066
1067.. class:: Set
1068 MutableSet
1069
1070 ABCs for read-only and mutable sets.
1071
1072.. class:: Mapping
1073 MutableMapping
1074
1075 ABCs for read-only and mutable :term:`mappings <mapping>`.
1076
1077.. class:: MappingView
1078 ItemsView
1079 KeysView
1080 ValuesView
1081
1082 ABCs for mapping, items, keys, and values :term:`views <view>`.
1083
1084
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001085These ABCs allow us to ask classes or instances if they provide
1086particular functionality, for example::
1087
1088 size = None
1089 if isinstance(myvar, collections.Sized):
1090 size = len(myvar)
1091
1092Several of the ABCs are also useful as mixins that make it easier to develop
1093classes supporting container APIs. For example, to write a class supporting
1094the full :class:`Set` API, it only necessary to supply the three underlying
1095abstract methods: :meth:`__contains__`, :meth:`__iter__`, and :meth:`__len__`.
1096The ABC supplies the remaining methods such as :meth:`__and__` and
1097:meth:`isdisjoint` ::
1098
1099 class ListBasedSet(collections.Set):
1100 ''' Alternate set implementation favoring space over speed
1101 and not requiring the set elements to be hashable. '''
1102 def __init__(self, iterable):
1103 self.elements = lst = []
1104 for value in iterable:
1105 if value not in lst:
1106 lst.append(value)
1107 def __iter__(self):
1108 return iter(self.elements)
1109 def __contains__(self, value):
1110 return value in self.elements
1111 def __len__(self):
1112 return len(self.elements)
1113
1114 s1 = ListBasedSet('abcdef')
1115 s2 = ListBasedSet('defghi')
1116 overlap = s1 & s2 # The __and__() method is supported automatically
1117
1118Notes on using :class:`Set` and :class:`MutableSet` as a mixin:
1119
1120(1)
1121 Since some set operations create new sets, the default mixin methods need
1122 a way to create new instances from an iterable. The class constructor is
1123 assumed to have a signature in the form ``ClassName(iterable)``.
1124 That assumption is factored-out to an internal classmethod called
1125 :meth:`_from_iterable` which calls ``cls(iterable)`` to produce a new set.
1126 If the :class:`Set` mixin is being used in a class with a different
Raymond Hettingere5820c62011-03-22 09:11:39 -07001127 constructor signature, you will need to override :meth:`_from_iterable`
Raymond Hettingera6b76ba2010-08-08 00:29:08 +00001128 with a classmethod that can construct new instances from
1129 an iterable argument.
1130
1131(2)
1132 To override the comparisons (presumably for speed, as the
1133 semantics are fixed), redefine :meth:`__le__` and
1134 then the other operations will automatically follow suit.
1135
1136(3)
1137 The :class:`Set` mixin provides a :meth:`_hash` method to compute a hash value
1138 for the set; however, :meth:`__hash__` is not defined because not all sets
1139 are hashable or immutable. To add set hashabilty using mixins,
1140 inherit from both :meth:`Set` and :meth:`Hashable`, then define
1141 ``__hash__ = Set._hash``.
1142
1143.. seealso::
1144
1145 * `OrderedSet recipe <http://code.activestate.com/recipes/576694/>`_ for an
1146 example built on :class:`MutableSet`.
1147
1148 * For more about ABCs, see the :mod:`abc` module and :pep:`3119`.