666 lines
22 KiB
ReStructuredText
666 lines
22 KiB
ReStructuredText
.. _tut-structures:
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***************
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Data Structures
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***************
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This chapter describes some things you've learned about already in more detail,
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and adds some new things as well.
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.. _tut-morelists:
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More on Lists
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=============
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The list data type has some more methods. Here are all of the methods of list
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objects:
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.. method:: list.append(x)
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:noindex:
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Add an item to the end of the list; equivalent to ``a[len(a):] = [x]``.
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.. method:: list.extend(L)
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:noindex:
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Extend the list by appending all the items in the given list; equivalent to
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``a[len(a):] = L``.
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.. method:: list.insert(i, x)
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:noindex:
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Insert an item at a given position. The first argument is the index of the
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element before which to insert, so ``a.insert(0, x)`` inserts at the front of
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the list, and ``a.insert(len(a), x)`` is equivalent to ``a.append(x)``.
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.. method:: list.remove(x)
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:noindex:
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Remove the first item from the list whose value is *x*. It is an error if there
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is no such item.
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.. method:: list.pop([i])
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:noindex:
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Remove the item at the given position in the list, and return it. If no index
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is specified, ``a.pop()`` removes and returns the last item in the list. (The
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square brackets around the *i* in the method signature denote that the parameter
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is optional, not that you should type square brackets at that position. You
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will see this notation frequently in the Python Library Reference.)
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.. method:: list.index(x)
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:noindex:
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Return the index in the list of the first item whose value is *x*. It is an
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error if there is no such item.
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.. method:: list.count(x)
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:noindex:
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Return the number of times *x* appears in the list.
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.. method:: list.sort()
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:noindex:
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Sort the items of the list, in place.
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.. method:: list.reverse()
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:noindex:
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Reverse the elements of the list, in place.
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An example that uses most of the list methods::
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>>> a = [66.25, 333, 333, 1, 1234.5]
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>>> print a.count(333), a.count(66.25), a.count('x')
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2 1 0
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>>> a.insert(2, -1)
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>>> a.append(333)
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>>> a
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[66.25, 333, -1, 333, 1, 1234.5, 333]
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>>> a.index(333)
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1
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>>> a.remove(333)
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>>> a
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[66.25, -1, 333, 1, 1234.5, 333]
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>>> a.reverse()
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>>> a
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[333, 1234.5, 1, 333, -1, 66.25]
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>>> a.sort()
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>>> a
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[-1, 1, 66.25, 333, 333, 1234.5]
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.. _tut-lists-as-stacks:
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Using Lists as Stacks
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---------------------
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.. sectionauthor:: Ka-Ping Yee <ping@lfw.org>
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The list methods make it very easy to use a list as a stack, where the last
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element added is the first element retrieved ("last-in, first-out"). To add an
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item to the top of the stack, use :meth:`append`. To retrieve an item from the
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top of the stack, use :meth:`pop` without an explicit index. For example::
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>>> stack = [3, 4, 5]
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>>> stack.append(6)
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>>> stack.append(7)
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>>> stack
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[3, 4, 5, 6, 7]
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>>> stack.pop()
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7
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>>> stack
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[3, 4, 5, 6]
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>>> stack.pop()
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6
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>>> stack.pop()
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5
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>>> stack
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[3, 4]
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.. _tut-lists-as-queues:
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Using Lists as Queues
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---------------------
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.. sectionauthor:: Ka-Ping Yee <ping@lfw.org>
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You can also use a list conveniently as a queue, where the first element added
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is the first element retrieved ("first-in, first-out"). To add an item to the
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back of the queue, use :meth:`append`. To retrieve an item from the front of
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the queue, use :meth:`pop` with ``0`` as the index. For example::
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>>> queue = ["Eric", "John", "Michael"]
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>>> queue.append("Terry") # Terry arrives
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>>> queue.append("Graham") # Graham arrives
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>>> queue.pop(0)
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'Eric'
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>>> queue.pop(0)
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'John'
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>>> queue
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['Michael', 'Terry', 'Graham']
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.. _tut-functional:
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Functional Programming Tools
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----------------------------
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There are three built-in functions that are very useful when used with lists:
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:func:`filter`, :func:`map`, and :func:`reduce`.
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``filter(function, sequence)`` returns a sequence consisting of those items from
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the sequence for which ``function(item)`` is true. If *sequence* is a
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:class:`string` or :class:`tuple`, the result will be of the same type;
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otherwise, it is always a :class:`list`. For example, to compute some primes::
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>>> def f(x): return x % 2 != 0 and x % 3 != 0
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...
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>>> filter(f, range(2, 25))
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[5, 7, 11, 13, 17, 19, 23]
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``map(function, sequence)`` calls ``function(item)`` for each of the sequence's
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items and returns a list of the return values. For example, to compute some
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cubes::
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>>> def cube(x): return x*x*x
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...
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>>> map(cube, range(1, 11))
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[1, 8, 27, 64, 125, 216, 343, 512, 729, 1000]
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More than one sequence may be passed; the function must then have as many
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arguments as there are sequences and is called with the corresponding item from
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each sequence (or ``None`` if some sequence is shorter than another). For
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example::
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>>> seq = range(8)
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>>> def add(x, y): return x+y
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...
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>>> map(add, seq, seq)
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[0, 2, 4, 6, 8, 10, 12, 14]
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``reduce(function, sequence)`` returns a single value constructed by calling the
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binary function *function* on the first two items of the sequence, then on the
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result and the next item, and so on. For example, to compute the sum of the
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numbers 1 through 10::
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>>> def add(x,y): return x+y
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...
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>>> reduce(add, range(1, 11))
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55
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If there's only one item in the sequence, its value is returned; if the sequence
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is empty, an exception is raised.
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A third argument can be passed to indicate the starting value. In this case the
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starting value is returned for an empty sequence, and the function is first
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applied to the starting value and the first sequence item, then to the result
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and the next item, and so on. For example, ::
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>>> def sum(seq):
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... def add(x,y): return x+y
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... return reduce(add, seq, 0)
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...
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>>> sum(range(1, 11))
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55
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>>> sum([])
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0
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Don't use this example's definition of :func:`sum`: since summing numbers is
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such a common need, a built-in function ``sum(sequence)`` is already provided,
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and works exactly like this.
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.. versionadded:: 2.3
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List Comprehensions
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-------------------
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List comprehensions provide a concise way to create lists without resorting to
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use of :func:`map`, :func:`filter` and/or :keyword:`lambda`. The resulting list
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definition tends often to be clearer than lists built using those constructs.
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Each list comprehension consists of an expression followed by a :keyword:`for`
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clause, then zero or more :keyword:`for` or :keyword:`if` clauses. The result
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will be a list resulting from evaluating the expression in the context of the
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:keyword:`for` and :keyword:`if` clauses which follow it. If the expression
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would evaluate to a tuple, it must be parenthesized. ::
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>>> freshfruit = [' banana', ' loganberry ', 'passion fruit ']
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>>> [weapon.strip() for weapon in freshfruit]
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['banana', 'loganberry', 'passion fruit']
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>>> vec = [2, 4, 6]
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>>> [3*x for x in vec]
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[6, 12, 18]
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>>> [3*x for x in vec if x > 3]
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[12, 18]
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>>> [3*x for x in vec if x < 2]
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[]
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>>> [[x,x**2] for x in vec]
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[[2, 4], [4, 16], [6, 36]]
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>>> [x, x**2 for x in vec] # error - parens required for tuples
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File "<stdin>", line 1, in ?
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[x, x**2 for x in vec]
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^
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SyntaxError: invalid syntax
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>>> [(x, x**2) for x in vec]
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[(2, 4), (4, 16), (6, 36)]
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>>> vec1 = [2, 4, 6]
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>>> vec2 = [4, 3, -9]
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>>> [x*y for x in vec1 for y in vec2]
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[8, 6, -18, 16, 12, -36, 24, 18, -54]
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>>> [x+y for x in vec1 for y in vec2]
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[6, 5, -7, 8, 7, -5, 10, 9, -3]
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>>> [vec1[i]*vec2[i] for i in range(len(vec1))]
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[8, 12, -54]
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List comprehensions are much more flexible than :func:`map` and can be applied
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to complex expressions and nested functions::
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>>> [str(round(355/113.0, i)) for i in range(1,6)]
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['3.1', '3.14', '3.142', '3.1416', '3.14159']
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Nested List Comprehensions
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--------------------------
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If you've got the stomach for it, list comprehensions can be nested. They are a
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powerful tool but -- like all powerful tools -- they need to be used carefully,
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if at all.
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Consider the following example of a 3x3 matrix held as a list containing three
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lists, one list per row::
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>>> mat = [
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... [1, 2, 3],
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... [4, 5, 6],
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... [7, 8, 9],
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... ]
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Now, if you wanted to swap rows and columns, you could use a list
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comprehension::
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>>> print [[row[i] for row in mat] for i in [0, 1, 2]]
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[[1, 4, 7], [2, 5, 8], [3, 6, 9]]
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Special care has to be taken for the *nested* list comprehension:
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To avoid apprehension when nesting list comprehensions, read from right to
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left.
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A more verbose version of this snippet shows the flow explicitly::
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for i in [0, 1, 2]:
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for row in mat:
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print row[i],
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print
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In real world, you should prefer builtin functions to complex flow statements.
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The :func:`zip` function would do a great job for this use case::
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>>> zip(*mat)
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[(1, 4, 7), (2, 5, 8), (3, 6, 9)]
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See :ref:`tut-unpacking-arguments` for details on the asterisk in this line.
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.. _tut-del:
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The :keyword:`del` statement
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============================
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There is a way to remove an item from a list given its index instead of its
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value: the :keyword:`del` statement. This differs from the :meth:`pop` method
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which returns a value. The :keyword:`del` statement can also be used to remove
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slices from a list or clear the entire list (which we did earlier by assignment
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of an empty list to the slice). For example::
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>>> a = [-1, 1, 66.25, 333, 333, 1234.5]
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>>> del a[0]
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>>> a
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[1, 66.25, 333, 333, 1234.5]
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>>> del a[2:4]
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>>> a
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[1, 66.25, 1234.5]
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>>> del a[:]
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>>> a
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[]
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:keyword:`del` can also be used to delete entire variables::
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>>> del a
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Referencing the name ``a`` hereafter is an error (at least until another value
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is assigned to it). We'll find other uses for :keyword:`del` later.
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.. _tut-tuples:
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Tuples and Sequences
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====================
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We saw that lists and strings have many common properties, such as indexing and
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slicing operations. They are two examples of *sequence* data types (see
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:ref:`typesseq`). Since Python is an evolving language, other sequence data
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types may be added. There is also another standard sequence data type: the
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*tuple*.
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A tuple consists of a number of values separated by commas, for instance::
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>>> t = 12345, 54321, 'hello!'
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>>> t[0]
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12345
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>>> t
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(12345, 54321, 'hello!')
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>>> # Tuples may be nested:
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... u = t, (1, 2, 3, 4, 5)
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>>> u
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((12345, 54321, 'hello!'), (1, 2, 3, 4, 5))
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As you see, on output tuples are always enclosed in parentheses, so that nested
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tuples are interpreted correctly; they may be input with or without surrounding
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parentheses, although often parentheses are necessary anyway (if the tuple is
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part of a larger expression).
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Tuples have many uses. For example: (x, y) coordinate pairs, employee records
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from a database, etc. Tuples, like strings, are immutable: it is not possible
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to assign to the individual items of a tuple (you can simulate much of the same
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effect with slicing and concatenation, though). It is also possible to create
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tuples which contain mutable objects, such as lists.
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A special problem is the construction of tuples containing 0 or 1 items: the
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syntax has some extra quirks to accommodate these. Empty tuples are constructed
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by an empty pair of parentheses; a tuple with one item is constructed by
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following a value with a comma (it is not sufficient to enclose a single value
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in parentheses). Ugly, but effective. For example::
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>>> empty = ()
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>>> singleton = 'hello', # <-- note trailing comma
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>>> len(empty)
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0
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>>> len(singleton)
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1
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>>> singleton
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('hello',)
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The statement ``t = 12345, 54321, 'hello!'`` is an example of *tuple packing*:
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the values ``12345``, ``54321`` and ``'hello!'`` are packed together in a tuple.
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The reverse operation is also possible::
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>>> x, y, z = t
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This is called, appropriately enough, *sequence unpacking*. Sequence unpacking
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requires the list of variables on the left to have the same number of elements
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as the length of the sequence. Note that multiple assignment is really just a
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combination of tuple packing and sequence unpacking!
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There is a small bit of asymmetry here: packing multiple values always creates
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a tuple, and unpacking works for any sequence.
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.. XXX Add a bit on the difference between tuples and lists.
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.. _tut-sets:
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Sets
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====
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Python also includes a data type for *sets*. A set is an unordered collection
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with no duplicate elements. Basic uses include membership testing and
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eliminating duplicate entries. Set objects also support mathematical operations
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like union, intersection, difference, and symmetric difference.
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Here is a brief demonstration::
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>>> basket = ['apple', 'orange', 'apple', 'pear', 'orange', 'banana']
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>>> fruit = set(basket) # create a set without duplicates
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>>> fruit
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set(['orange', 'pear', 'apple', 'banana'])
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>>> 'orange' in fruit # fast membership testing
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True
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>>> 'crabgrass' in fruit
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False
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>>> # Demonstrate set operations on unique letters from two words
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...
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>>> a = set('abracadabra')
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>>> b = set('alacazam')
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>>> a # unique letters in a
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set(['a', 'r', 'b', 'c', 'd'])
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>>> a - b # letters in a but not in b
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set(['r', 'd', 'b'])
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>>> a | b # letters in either a or b
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set(['a', 'c', 'r', 'd', 'b', 'm', 'z', 'l'])
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>>> a & b # letters in both a and b
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set(['a', 'c'])
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>>> a ^ b # letters in a or b but not both
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set(['r', 'd', 'b', 'm', 'z', 'l'])
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.. _tut-dictionaries:
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Dictionaries
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============
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Another useful data type built into Python is the *dictionary* (see
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:ref:`typesmapping`). Dictionaries are sometimes found in other languages as
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"associative memories" or "associative arrays". Unlike sequences, which are
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indexed by a range of numbers, dictionaries are indexed by *keys*, which can be
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any immutable type; strings and numbers can always be keys. Tuples can be used
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as keys if they contain only strings, numbers, or tuples; if a tuple contains
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any mutable object either directly or indirectly, it cannot be used as a key.
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You can't use lists as keys, since lists can be modified in place using index
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assignments, slice assignments, or methods like :meth:`append` and
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:meth:`extend`.
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It is best to think of a dictionary as an unordered set of *key: value* pairs,
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with the requirement that the keys are unique (within one dictionary). A pair of
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braces creates an empty dictionary: ``{}``. Placing a comma-separated list of
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key:value pairs within the braces adds initial key:value pairs to the
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dictionary; this is also the way dictionaries are written on output.
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The main operations on a dictionary are storing a value with some key and
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extracting the value given the key. It is also possible to delete a key:value
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pair with ``del``. If you store using a key that is already in use, the old
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value associated with that key is forgotten. It is an error to extract a value
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using a non-existent key.
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The :meth:`keys` method of a dictionary object returns a list of all the keys
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used in the dictionary, in arbitrary order (if you want it sorted, just apply
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the :meth:`sort` method to the list of keys). To check whether a single key is
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in the dictionary, use the :keyword:`in` keyword.
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Here is a small example using a dictionary::
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>>> tel = {'jack': 4098, 'sape': 4139}
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>>> tel['guido'] = 4127
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>>> tel
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{'sape': 4139, 'guido': 4127, 'jack': 4098}
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>>> tel['jack']
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4098
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>>> del tel['sape']
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>>> tel['irv'] = 4127
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>>> tel
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{'guido': 4127, 'irv': 4127, 'jack': 4098}
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>>> tel.keys()
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['guido', 'irv', 'jack']
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>>> 'guido' in tel
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True
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The :func:`dict` constructor builds dictionaries directly from lists of
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key-value pairs stored as tuples. When the pairs form a pattern, list
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comprehensions can compactly specify the key-value list. ::
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>>> dict([('sape', 4139), ('guido', 4127), ('jack', 4098)])
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{'sape': 4139, 'jack': 4098, 'guido': 4127}
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>>> dict([(x, x**2) for x in (2, 4, 6)]) # use a list comprehension
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{2: 4, 4: 16, 6: 36}
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Later in the tutorial, we will learn about Generator Expressions which are even
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better suited for the task of supplying key-values pairs to the :func:`dict`
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constructor.
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When the keys are simple strings, it is sometimes easier to specify pairs using
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keyword arguments::
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|
|
>>> dict(sape=4139, guido=4127, jack=4098)
|
|
{'sape': 4139, 'jack': 4098, 'guido': 4127}
|
|
|
|
|
|
.. _tut-loopidioms:
|
|
|
|
Looping Techniques
|
|
==================
|
|
|
|
When looping through dictionaries, the key and corresponding value can be
|
|
retrieved at the same time using the :meth:`iteritems` method. ::
|
|
|
|
>>> knights = {'gallahad': 'the pure', 'robin': 'the brave'}
|
|
>>> for k, v in knights.iteritems():
|
|
... print k, v
|
|
...
|
|
gallahad the pure
|
|
robin the brave
|
|
|
|
When looping through a sequence, the position index and corresponding value can
|
|
be retrieved at the same time using the :func:`enumerate` function. ::
|
|
|
|
>>> for i, v in enumerate(['tic', 'tac', 'toe']):
|
|
... print i, v
|
|
...
|
|
0 tic
|
|
1 tac
|
|
2 toe
|
|
|
|
To loop over two or more sequences at the same time, the entries can be paired
|
|
with the :func:`zip` function. ::
|
|
|
|
>>> questions = ['name', 'quest', 'favorite color']
|
|
>>> answers = ['lancelot', 'the holy grail', 'blue']
|
|
>>> for q, a in zip(questions, answers):
|
|
... print 'What is your {0}? It is {1}.'.format(q, a)
|
|
...
|
|
What is your name? It is lancelot.
|
|
What is your quest? It is the holy grail.
|
|
What is your favorite color? It is blue.
|
|
|
|
To loop over a sequence in reverse, first specify the sequence in a forward
|
|
direction and then call the :func:`reversed` function. ::
|
|
|
|
>>> for i in reversed(xrange(1,10,2)):
|
|
... print i
|
|
...
|
|
9
|
|
7
|
|
5
|
|
3
|
|
1
|
|
|
|
To loop over a sequence in sorted order, use the :func:`sorted` function which
|
|
returns a new sorted list while leaving the source unaltered. ::
|
|
|
|
>>> basket = ['apple', 'orange', 'apple', 'pear', 'orange', 'banana']
|
|
>>> for f in sorted(set(basket)):
|
|
... print f
|
|
...
|
|
apple
|
|
banana
|
|
orange
|
|
pear
|
|
|
|
|
|
.. _tut-conditions:
|
|
|
|
More on Conditions
|
|
==================
|
|
|
|
The conditions used in ``while`` and ``if`` statements can contain any
|
|
operators, not just comparisons.
|
|
|
|
The comparison operators ``in`` and ``not in`` check whether a value occurs
|
|
(does not occur) in a sequence. The operators ``is`` and ``is not`` compare
|
|
whether two objects are really the same object; this only matters for mutable
|
|
objects like lists. All comparison operators have the same priority, which is
|
|
lower than that of all numerical operators.
|
|
|
|
Comparisons can be chained. For example, ``a < b == c`` tests whether ``a`` is
|
|
less than ``b`` and moreover ``b`` equals ``c``.
|
|
|
|
Comparisons may be combined using the Boolean operators ``and`` and ``or``, and
|
|
the outcome of a comparison (or of any other Boolean expression) may be negated
|
|
with ``not``. These have lower priorities than comparison operators; between
|
|
them, ``not`` has the highest priority and ``or`` the lowest, so that ``A and
|
|
not B or C`` is equivalent to ``(A and (not B)) or C``. As always, parentheses
|
|
can be used to express the desired composition.
|
|
|
|
The Boolean operators ``and`` and ``or`` are so-called *short-circuit*
|
|
operators: their arguments are evaluated from left to right, and evaluation
|
|
stops as soon as the outcome is determined. For example, if ``A`` and ``C`` are
|
|
true but ``B`` is false, ``A and B and C`` does not evaluate the expression
|
|
``C``. When used as a general value and not as a Boolean, the return value of a
|
|
short-circuit operator is the last evaluated argument.
|
|
|
|
It is possible to assign the result of a comparison or other Boolean expression
|
|
to a variable. For example, ::
|
|
|
|
>>> string1, string2, string3 = '', 'Trondheim', 'Hammer Dance'
|
|
>>> non_null = string1 or string2 or string3
|
|
>>> non_null
|
|
'Trondheim'
|
|
|
|
Note that in Python, unlike C, assignment cannot occur inside expressions. C
|
|
programmers may grumble about this, but it avoids a common class of problems
|
|
encountered in C programs: typing ``=`` in an expression when ``==`` was
|
|
intended.
|
|
|
|
|
|
.. _tut-comparing:
|
|
|
|
Comparing Sequences and Other Types
|
|
===================================
|
|
|
|
Sequence objects may be compared to other objects with the same sequence type.
|
|
The comparison uses *lexicographical* ordering: first the first two items are
|
|
compared, and if they differ this determines the outcome of the comparison; if
|
|
they are equal, the next two items are compared, and so on, until either
|
|
sequence is exhausted. If two items to be compared are themselves sequences of
|
|
the same type, the lexicographical comparison is carried out recursively. If
|
|
all items of two sequences compare equal, the sequences are considered equal.
|
|
If one sequence is an initial sub-sequence of the other, the shorter sequence is
|
|
the smaller (lesser) one. Lexicographical ordering for strings uses the ASCII
|
|
ordering for individual characters. Some examples of comparisons between
|
|
sequences of the same type::
|
|
|
|
(1, 2, 3) < (1, 2, 4)
|
|
[1, 2, 3] < [1, 2, 4]
|
|
'ABC' < 'C' < 'Pascal' < 'Python'
|
|
(1, 2, 3, 4) < (1, 2, 4)
|
|
(1, 2) < (1, 2, -1)
|
|
(1, 2, 3) == (1.0, 2.0, 3.0)
|
|
(1, 2, ('aa', 'ab')) < (1, 2, ('abc', 'a'), 4)
|
|
|
|
Note that comparing objects of different types is legal. The outcome is
|
|
deterministic but arbitrary: the types are ordered by their name. Thus, a list
|
|
is always smaller than a string, a string is always smaller than a tuple, etc.
|
|
[#]_ Mixed numeric types are compared according to their numeric value, so 0
|
|
equals 0.0, etc.
|
|
|
|
|
|
.. rubric:: Footnotes
|
|
|
|
.. [#] The rules for comparing objects of different types should not be relied upon;
|
|
they may change in a future version of the language.
|
|
|