Subsections

- 5.1 More on Lists
  - 5.1.1 Functional Programming Tools
- 5.2 The `del` statement
- 5.3 Tuples and Sequences
- 5.4 Dictionaries
- 5.5 More on Conditions
- 5.6 Comparing Sequences and Other Types

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5. Data Structures

This chapter describes some things you've learned about already in more detail, and adds some new things as well.

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5.1 More on Lists

The list data type has some more methods. Here are all of the methods of list objects:

`insert(i, x)`
  Insert an item at a given position. The first argument is the index of the element before which to insert, so `a.insert(0, x)` inserts at the front of the list, and `a.insert(len(a), x)` is equivalent to `a.append(x)`.

`append(x)`
  Equivalent to `a.insert(len(a), x)`.

`index(x)`
  Return the index in the list of the first item whose value is `x`. It is an error if there is no such item.

`remove(x)`
  Remove the first item from the list whose value is `x`. It is an error if there is no such item.

`sort()`
  Sort the items of the list, in place.

`reverse()`
  Reverse the elements of the list, in place.

`count(x)`
  Return the number of times `x` appears in the list.

An example that uses all list methods:

      >>> a = [66.6, 333, 333, 1, 1234.5]
      >>> print a.count(333), a.count(66.6), a.count('x')
      2 1 0
      >>> a.insert(2, -1)
      >>> a.append(333)
      >>> a
      [66.6, 333, -1, 333, 1, 1234.5, 333]
      >>> a.index(333)
      1
      >>> a.remove(333)
      >>> a
      [66.6, -1, 333, 1, 1234.5, 333]
      >>> a.reverse()
      >>> a
      [333, 1234.5, 1, 333, -1, 66.6]
      >>> a.sort()
      >>> a
      [-1, 1, 66.6, 333, 333, 1234.5]

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5.1.1 Functional Programming Tools

There are three built-in functions that are very useful when used with lists: `filter()`, `map()`, and `reduce()`.

"`filter(function, sequence)`" returns a sequence (of the same type, if possible) consisting of those items from the sequence for which `function(item)` is true. For example, to compute some primes:

      >>> def f(x): return x % 2 != 0 and x % 3 != 0
      ...
      >>> filter(f, range(2, 25))
      [5, 7, 11, 13, 17, 19, 23]

"`map(function, sequence)`" calls `function(item)` for each of the sequence's items and returns a list of the return values. For example, to compute some cubes:

      >>> def cube(x): return x*x*x
      ...
      >>> map(cube, range(1, 11))
      [1, 8, 27, 64, 125, 216, 343, 512, 729, 1000]

More than one sequence may be passed; the function must then have as many arguments as there are sequences and is called with the corresponding item from each sequence (or `None` if some sequence is shorter than another). If `None` is passed for the function, a function returning its argument(s) is substituted.

Combining these two special cases, we see that "`map(None, list1, list2)`" is a convenient way of turning a pair of lists into a list of pairs. For example:

      >>> seq = range(8)
      >>> def square(x): return x*x
      ...
      >>> map(None, seq, map(square, seq))
      [(0, 0), (1, 1), (2, 4), (3, 9), (4, 16), (5, 25), (6, 36), (7, 49)]

"`reduce(func, sequence)`" returns a single value constructed by calling the binary function func on the first two items of the sequence, then on the result and the next item, and so on. For example, to compute the sum of the numbers 1 through 10:

      >>> def add(x,y): return x+y
      ...
      >>> reduce(add, range(1, 11))
      55

If there's only one item in the sequence, its value is returned; if the sequence is empty, an exception is raised.

A third argument can be passed to indicate the starting value. In this case the starting value is returned for an empty sequence, and the function is first applied to the starting value and the first sequence item, then to the result and the next item, and so on. For example,

      >>> def sum(seq):
      ...     def add(x,y): return x+y
      ...     return reduce(add, seq, 0)
      ...
      >>> sum(range(1, 11))
      55
      >>> sum([])
      0

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5.2 The `del` statement

There is a way to remove an item from a list given its index instead of its value: the `del` statement. This can also be used to remove slices from a list (which we did earlier by assignment of an empty list to the slice). For example:

      >>> a
      [-1, 1, 66.6, 333, 333, 1234.5]
      >>> del a[0]
      >>> a
      [1, 66.6, 333, 333, 1234.5]
      >>> del a[2:4]
      >>> a
      [1, 66.6, 1234.5]

`del` can also be used to delete entire variables:

      >>> del a

Referencing the name `a` hereafter is an error (at least until another value is assigned to it). We'll find other uses for `del` later.

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5.3 Tuples and Sequences

We saw that lists and strings have many common properties, e.g., indexing and slicing operations. They are two examples of sequence data types. Since Python is an evolving language, other sequence data types may be added. There is also another standard sequence data type: the tuple.

A tuple consists of a number of values separated by commas, for instance:

      >>> t = 12345, 54321, 'hello!'
      >>> t[0]
      12345
      >>> t
      (12345, 54321, 'hello!')
      >>> # Tuples may be nested:
      ... u = t, (1, 2, 3, 4, 5)
      >>> u
      ((12345, 54321, 'hello!'), (1, 2, 3, 4, 5))

As you see, on output tuples are alway enclosed in parentheses, so that nested tuples are interpreted correctly; they may be input with or without surrounding parentheses, although often parentheses are necessary anyway (if the tuple is part of a larger expression).

Tuples have many uses, e.g., (x, y) coordinate pairs, employee records from a database, etc. Tuples, like strings, are immutable: it is not possible to assign to the individual items of a tuple (you can simulate much of the same effect with slicing and concatenation, though).

A special problem is the construction of tuples containing 0 or 1 items: the syntax has some extra quirks to accommodate these. Empty tuples are constructed by an empty pair of parentheses; a tuple with one item is constructed by following a value with a comma (it is not sufficient to enclose a single value in parentheses). Ugly, but effective. For example:

      >>> empty = ()
      >>> singleton = 'hello',    # <-- note trailing comma
      >>> len(empty)
      0
      >>> len(singleton)
      1
      >>> singleton
      ('hello',)

The statement `t = 12345, 54321, 'hello!'` is an example of tuple packing: the values `12345`, `54321` and `'hello!'` are packed together in a tuple. The reverse operation is also possible, e.g.:

      >>> x, y, z = t

This is called, appropriately enough, tuple unpacking. Tuple unpacking requires that the list of variables on the left has the same number of elements as the length of the tuple. Note that multiple assignment is really just a combination of tuple packing and tuple unpacking!

Occasionally, the corresponding operation on lists is useful: list unpacking. This is supported by enclosing the list of variables in square brackets:

      >>> a = ['spam', 'eggs', 100, 1234]
      >>> [a1, a2, a3, a4] = a

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5.4 Dictionaries

Another useful data type built into Python is the dictionary. Dictionaries are sometimes found in other languages as ``associative memories'' or ``associative arrays''. Unlike sequences, which are indexed by a range of numbers, dictionaries are indexed by keys, which can be any non-mutable type; strings and numbers can always be keys. Tuples can be used as keys if they contain only strings, numbers, or tuples. You can't use lists as keys, since lists can be modified in place using their `append()` method.

It is best to think of a dictionary as an unordered set of key:value pairs, with the requirement that the keys are unique (within one dictionary). A pair of braces creates an empty dictionary: `{}`. Placing a comma-separated list of key:value pairs within the braces adds initial key:value pairs to the dictionary; this is also the way dictionaries are written on output.

The main operations on a dictionary are storing a value with some key and extracting the value given the key. It is also possible to delete a key:value pair with `del`. If you store using a key that is already in use, the old value associated with that key is forgotten. It is an error to extract a value using a non-existent key.

The `keys()` method of a dictionary object returns a list of all the keys used in the dictionary, in random order (if you want it sorted, just apply the `sort()` method to the list of keys). To check whether a single key is in the dictionary, use the `has_key()`method of the dictionary.

Here is a small example using a dictionary:

      >>> tel = {'jack': 4098, 'sape': 4139}
      >>> tel['guido'] = 4127
      >>> tel
      {'sape': 4139, 'guido': 4127, 'jack': 4098}
      >>> tel['jack']
      4098
      >>> del tel['sape']
      >>> tel['irv'] = 4127
      >>> tel
      {'guido': 4127, 'irv': 4127, 'jack': 4098}
      >>> tel.keys()
      ['guido', 'irv', 'jack']
      >>> tel.has_key('guido')
      1

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5.5 More on Conditions

The conditions used in `while` and `if` statements above can contain other operators besides 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: e.g., `a < b == c` tests whether `a`is less than `b` and moreover `b` equals `c`.

Comparisons may be combined by the Boolean operators `and` and `or`, and the outcome of a comparison (or of any other Boolean expression) may be negated with `not`. These all have lower priorities than comparison operators again; 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`. Of course, parentheses can be used to express the desired composition.

The Boolean operators `and` and `or` are so-called shortcut operators: their arguments are evaluated from left to right, and evaluation stops as soon as the outcome is determined. E.g., if `A` and `C` are true but `B` is false, `A and B and C` does not evaluate the expression C. In general, the return value of a shortcut operator, when used as a general value and not as a Boolean, 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.

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5.6 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 subsequence of the other, the shorted sequence is the smaller one. Lexicographical ordering for strings uses the ASCII ordering for individual characters. Some examples of comparisons between sequences with the same types:

      (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.5.1

#### Footnotes

... etc.5.1
  The rules for comparing objects of different types should not be relied upon; they may change in a future version of the language.