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										 |  |  | \section{\module{collections} --- | 
					
						
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										 |  |  |          High-performance container datatypes} | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | \declaremodule{standard}{collections} | 
					
						
							|  |  |  | \modulesynopsis{High-performance datatypes} | 
					
						
							|  |  |  | \moduleauthor{Raymond Hettinger}{python@rcn.com} | 
					
						
							|  |  |  | \sectionauthor{Raymond Hettinger}{python@rcn.com} | 
					
						
							|  |  |  | \versionadded{2.4} | 
					
						
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 | 
					
						
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 | 
					
						
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										 |  |  | This module implements high-performance container datatypes.  Currently, | 
					
						
							|  |  |  | there are two datatypes, deque and defaultdict. | 
					
						
							|  |  |  | Future additions may include B-trees and Fibonacci heaps. | 
					
						
							|  |  |  | \versionchanged[Added defaultdict]{2.5} | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | \begin{funcdesc}{deque}{\optional{iterable}} | 
					
						
							|  |  |  |   Returns a new deque objected initialized left-to-right (using | 
					
						
							|  |  |  |   \method{append()}) with data from \var{iterable}.  If \var{iterable} | 
					
						
							|  |  |  |   is not specified, the new deque is empty. | 
					
						
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 | 
					
						
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										 |  |  |   Deques are a generalization of stacks and queues (the name is pronounced | 
					
						
							|  |  |  |   ``deck'' and is short for ``double-ended queue'').  Deques support | 
					
						
							|  |  |  |   thread-safe, memory efficient appends and pops from either side of the deque | 
					
						
							|  |  |  |   with approximately the same \code{O(1)} performance in either direction. | 
					
						
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 | 
					
						
							|  |  |  |   Though \class{list} objects support similar operations, they are optimized | 
					
						
							|  |  |  |   for fast fixed-length operations and incur \code{O(n)} memory movement costs | 
					
						
							|  |  |  |   for \samp{pop(0)} and \samp{insert(0, v)} operations which change both the | 
					
						
							|  |  |  |   size and position of the underlying data representation. | 
					
						
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										 |  |  |   \versionadded{2.4} | 
					
						
							|  |  |  | \end{funcdesc} | 
					
						
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 | 
					
						
							|  |  |  | Deque objects support the following methods: | 
					
						
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 | 
					
						
							|  |  |  | \begin{methoddesc}{append}{x} | 
					
						
							|  |  |  |    Add \var{x} to the right side of the deque. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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 | 
					
						
							|  |  |  | \begin{methoddesc}{appendleft}{x} | 
					
						
							|  |  |  |    Add \var{x} to the left side of the deque. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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 | 
					
						
							|  |  |  | \begin{methoddesc}{clear}{} | 
					
						
							|  |  |  |    Remove all elements from the deque leaving it with length 0. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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										 |  |  | \begin{methoddesc}{extend}{iterable} | 
					
						
							|  |  |  |    Extend the right side of the deque by appending elements from | 
					
						
							|  |  |  |    the iterable argument. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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 | 
					
						
							|  |  |  | \begin{methoddesc}{extendleft}{iterable} | 
					
						
							|  |  |  |    Extend the left side of the deque by appending elements from | 
					
						
							|  |  |  |    \var{iterable}.  Note, the series of left appends results in | 
					
						
							|  |  |  |    reversing the order of elements in the iterable argument. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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										 |  |  | \begin{methoddesc}{pop}{} | 
					
						
							|  |  |  |    Remove and return an element from the right side of the deque. | 
					
						
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										 |  |  |    If no elements are present, raises a \exception{IndexError}. | 
					
						
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										 |  |  | \end{methoddesc} | 
					
						
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 | 
					
						
							|  |  |  | \begin{methoddesc}{popleft}{} | 
					
						
							|  |  |  |    Remove and return an element from the left side of the deque. | 
					
						
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										 |  |  |    If no elements are present, raises a \exception{IndexError}.    | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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										 |  |  | \begin{methoddesc}{remove}{value} | 
					
						
							|  |  |  |    Removed the first occurrence of \var{value}.  If not found, | 
					
						
							|  |  |  |    raises a \exception{ValueError}. | 
					
						
							|  |  |  |    \versionadded{2.5} | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
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										 |  |  | \begin{methoddesc}{rotate}{n} | 
					
						
							|  |  |  |    Rotate the deque \var{n} steps to the right.  If \var{n} is | 
					
						
							|  |  |  |    negative, rotate to the left.  Rotating one step to the right | 
					
						
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										 |  |  |    is equivalent to:  \samp{d.appendleft(d.pop())}.  | 
					
						
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										 |  |  | \end{methoddesc} | 
					
						
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 | 
					
						
							|  |  |  | In addition to the above, deques support iteration, pickling, \samp{len(d)}, | 
					
						
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										 |  |  | \samp{reversed(d)}, \samp{copy.copy(d)}, \samp{copy.deepcopy(d)}, | 
					
						
							|  |  |  | membership testing with the \keyword{in} operator, and subscript references | 
					
						
							|  |  |  | such as \samp{d[-1]}. | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | Example: | 
					
						
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 | 
					
						
							|  |  |  | \begin{verbatim} | 
					
						
							|  |  |  | >>> from collections import deque | 
					
						
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										 |  |  | >>> d = deque('ghi')                 # make a new deque with three items | 
					
						
							|  |  |  | >>> for elem in d:                   # iterate over the deque's elements | 
					
						
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										 |  |  | ...     print elem.upper()	 | 
					
						
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										 |  |  | G | 
					
						
							|  |  |  | H | 
					
						
							|  |  |  | I | 
					
						
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 | 
					
						
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										 |  |  | >>> d.append('j')                    # add a new entry to the right side | 
					
						
							|  |  |  | >>> d.appendleft('f')                # add a new entry to the left side | 
					
						
							|  |  |  | >>> d                                # show the representation of the deque | 
					
						
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										 |  |  | deque(['f', 'g', 'h', 'i', 'j']) | 
					
						
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 | 
					
						
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										 |  |  | >>> d.pop()                          # return and remove the rightmost item | 
					
						
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										 |  |  | 'j' | 
					
						
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										 |  |  | >>> d.popleft()                      # return and remove the leftmost item | 
					
						
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										 |  |  | 'f' | 
					
						
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										 |  |  | >>> list(d)                          # list the contents of the deque | 
					
						
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										 |  |  | ['g', 'h', 'i'] | 
					
						
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										 |  |  | >>> d[0]                             # peek at leftmost item | 
					
						
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										 |  |  | 'g' | 
					
						
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										 |  |  | >>> d[-1]                            # peek at rightmost item | 
					
						
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										 |  |  | 'i' | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  | >>> list(reversed(d))                # list the contents of a deque in reverse | 
					
						
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										 |  |  | ['i', 'h', 'g'] | 
					
						
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										 |  |  | >>> 'h' in d                         # search the deque | 
					
						
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										 |  |  | True | 
					
						
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										 |  |  | >>> d.extend('jkl')                  # add multiple elements at once | 
					
						
							|  |  |  | >>> d | 
					
						
							|  |  |  | deque(['g', 'h', 'i', 'j', 'k', 'l']) | 
					
						
							|  |  |  | >>> d.rotate(1)                      # right rotation | 
					
						
							|  |  |  | >>> d | 
					
						
							|  |  |  | deque(['l', 'g', 'h', 'i', 'j', 'k']) | 
					
						
							|  |  |  | >>> d.rotate(-1)                     # left rotation | 
					
						
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										 |  |  | >>> d | 
					
						
							|  |  |  | deque(['g', 'h', 'i', 'j', 'k', 'l']) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  | >>> deque(reversed(d))               # make a new deque in reverse order | 
					
						
							|  |  |  | deque(['l', 'k', 'j', 'i', 'h', 'g']) | 
					
						
							|  |  |  | >>> d.clear()                        # empty the deque | 
					
						
							|  |  |  | >>> d.pop()                          # cannot pop from an empty deque | 
					
						
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										 |  |  | Traceback (most recent call last): | 
					
						
							|  |  |  |   File "<pyshell#6>", line 1, in -toplevel- | 
					
						
							|  |  |  |     d.pop() | 
					
						
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										 |  |  | IndexError: pop from an empty deque | 
					
						
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 | 
					
						
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										 |  |  | >>> d.extendleft('abc')              # extendleft() reverses the input order | 
					
						
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										 |  |  | >>> d | 
					
						
							|  |  |  | deque(['c', 'b', 'a']) | 
					
						
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										 |  |  | \end{verbatim} | 
					
						
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										 |  |  | 
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										 |  |  | \subsection{Recipes \label{deque-recipes}} | 
					
						
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 | 
					
						
							|  |  |  | This section shows various approaches to working with deques. | 
					
						
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 | 
					
						
							|  |  |  | The \method{rotate()} method provides a way to implement \class{deque} | 
					
						
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										 |  |  | slicing and deletion.  For example, a pure python implementation of | 
					
						
							|  |  |  | \code{del d[n]} relies on the \method{rotate()} method to position | 
					
						
							|  |  |  | elements to be popped: | 
					
						
							|  |  |  |      | 
					
						
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										 |  |  | \begin{verbatim} | 
					
						
							|  |  |  | def delete_nth(d, n): | 
					
						
							|  |  |  |     d.rotate(-n) | 
					
						
							|  |  |  |     d.popleft() | 
					
						
							|  |  |  |     d.rotate(n) | 
					
						
							|  |  |  | \end{verbatim} | 
					
						
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										 |  |  | To implement \class{deque} slicing, use a similar approach applying | 
					
						
							|  |  |  | \method{rotate()} to bring a target element to the left side of the deque. | 
					
						
							|  |  |  | Remove old entries with \method{popleft()}, add new entries with | 
					
						
							|  |  |  | \method{extend()}, and then reverse the rotation. | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | With minor variations on that approach, it is easy to implement Forth style | 
					
						
							|  |  |  | stack manipulations such as \code{dup}, \code{drop}, \code{swap}, \code{over}, | 
					
						
							|  |  |  | \code{pick}, \code{rot}, and \code{roll}. | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | A roundrobin task server can be built from a \class{deque} using | 
					
						
							|  |  |  | \method{popleft()} to select the current task and \method{append()} | 
					
						
							|  |  |  | to add it back to the tasklist if the input stream is not exhausted: | 
					
						
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 | 
					
						
							|  |  |  | \begin{verbatim} | 
					
						
							|  |  |  | def roundrobin(*iterables): | 
					
						
							|  |  |  |     pending = deque(iter(i) for i in iterables) | 
					
						
							|  |  |  |     while pending: | 
					
						
							|  |  |  |         task = pending.popleft() | 
					
						
							|  |  |  |         try: | 
					
						
							|  |  |  |             yield task.next() | 
					
						
							|  |  |  |         except StopIteration: | 
					
						
							|  |  |  |             continue | 
					
						
							|  |  |  |         pending.append(task) | 
					
						
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 | 
					
						
							|  |  |  | >>> for value in roundrobin('abc', 'd', 'efgh'): | 
					
						
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										 |  |  | ...     print value | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | a | 
					
						
							|  |  |  | d | 
					
						
							|  |  |  | e | 
					
						
							|  |  |  | b | 
					
						
							|  |  |  | f | 
					
						
							|  |  |  | c | 
					
						
							|  |  |  | g | 
					
						
							|  |  |  | h | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \end{verbatim} | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | Multi-pass data reduction algorithms can be succinctly expressed and | 
					
						
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										 |  |  | efficiently coded by extracting elements with multiple calls to | 
					
						
							|  |  |  | \method{popleft()}, applying the reduction function, and calling | 
					
						
							|  |  |  | \method{append()} to add the result back to the queue. | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | For example, building a balanced binary tree of nested lists entails | 
					
						
							|  |  |  | reducing two adjacent nodes into one by grouping them in a list: | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{verbatim} | 
					
						
							|  |  |  | def maketree(iterable): | 
					
						
							|  |  |  |     d = deque(iterable) | 
					
						
							|  |  |  |     while len(d) > 1: | 
					
						
							|  |  |  |         pair = [d.popleft(), d.popleft()] | 
					
						
							|  |  |  |         d.append(pair) | 
					
						
							|  |  |  |     return list(d) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | >>> print maketree('abcdefgh') | 
					
						
							|  |  |  | [[[['a', 'b'], ['c', 'd']], [['e', 'f'], ['g', 'h']]]] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \end{verbatim} | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{funcdesc}{defaultdict}{\optional{default_factory\optional{, ...}}} | 
					
						
							|  |  |  |   Returns a new dictionary-like object.  \class{defaultdict} is a subclass | 
					
						
							|  |  |  |   of the builtin \class{dict} class.  It overrides one method and adds one | 
					
						
							|  |  |  |   writable instance variable.  The remaining functionality is the same as | 
					
						
							|  |  |  |   for the \class{dict} class and is not documented here. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   The first argument provides the initial value for the | 
					
						
							|  |  |  |   \member{default_factory} attribute; it defaults to \code{None}. | 
					
						
							|  |  |  |   All remaining arguments are treated the same as if they were | 
					
						
							|  |  |  |   passed to the \class{dict} constructor, including keyword arguments. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |  \versionadded{2.5} | 
					
						
							|  |  |  | \end{funcdesc} | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \class{defaultdict} objects support the following method in addition to | 
					
						
							|  |  |  | the standard \class{dict} operations: | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{methoddesc}{__missing__}{key} | 
					
						
							|  |  |  |   If the \member{default_factory} attribute is \code{None}, this raises | 
					
						
							|  |  |  |   an \exception{KeyError} exception with the \var{key} as argument. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   If \member{default_factory} is not \code{None}, it is called without | 
					
						
							|  |  |  |   arguments to provide a default value for the given \var{key}, this | 
					
						
							|  |  |  |   value is inserted in the dictionary for the \var{key}, and returned. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   If calling \member{default_factory} raises an exception this exception | 
					
						
							|  |  |  |   is propagated unchanged. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |   This method is called by the \method{__getitem__} method of the | 
					
						
							|  |  |  |   \class{dict} class when the requested key is not found; whatever it | 
					
						
							|  |  |  |   returns or raises is then returned or raised by \method{__getitem__}. | 
					
						
							|  |  |  | \end{methoddesc} | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \class{defaultdict} objects support the following instance variable: | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | \begin{datadesc}{default_factory} | 
					
						
							|  |  |  |   This attribute is used by the \method{__missing__} method; it is initialized | 
					
						
							|  |  |  |   from the first argument to the constructor, if present, or to \code{None},  | 
					
						
							|  |  |  |   if absent. | 
					
						
							|  |  |  | \end{datadesc} |