Built-in Types
The following sections describe the standard types that are built into the interpreter.
The principal built-in types are numerics, sequences, mappings, files, classes, instances and exceptions.
Some operations are supported by several object types; in particular, practically all objects can be compared, tested for truth value, and converted to a string (with the :func:`repr` function or the slightly different :func:`str` function). The latter function is implicitly used when an object is written by the :func:`print` function.
Truth Value Testing
Any object can be tested for truth value, for use in an :keyword:`if` or :keyword:`while` condition or as operand of the Boolean operations below. The following values are considered false:
None
False
- zero of any numeric type, for example,
0
,0.0
,0j
. - any empty sequence, for example,
''
,()
,[]
. - any empty mapping, for example,
{}
. - instances of user-defined classes, if the class defines a :meth:`__bool__` or
:meth:`__len__` method, when that method returns the integer zero or
:class:`bool` value
False
. [1]
All other values are considered true --- so objects of many types are always true.
Operations and built-in functions that have a Boolean result always return 0
or False
for false and 1
or True
for true, unless otherwise stated.
(Important exception: the Boolean operations or
and and
always return
one of their operands.)
Boolean Operations --- :keyword:`and`, :keyword:`or`, :keyword:`not`
These are the Boolean operations, ordered by ascending priority:
Operation | Result | Notes |
---|---|---|
x or y |
if x is false, then y, else x | (1) |
x and y |
if x is false, then x, else y | (2) |
not x |
if x is false, then True ,
else False
|
(3) |
Notes:
- This is a short-circuit operator, so it only evaluates the second argument if the first one is :const:`False`.
- This is a short-circuit operator, so it only evaluates the second argument if the first one is :const:`True`.
-
not
has a lower priority than non-Boolean operators, sonot a == b
is interpreted asnot (a == b)
, anda == not b
is a syntax error.
Comparisons
There are eight comparison operations in Python. They all have the same
priority (which is higher than that of the Boolean operations). Comparisons can
be chained arbitrarily; for example, x < y <= z
is equivalent to x < y and
y <= z
, except that y is evaluated only once (but in both cases z is not
evaluated at all when x < y
is found to be false).
This table summarizes the comparison operations:
Operation | Meaning |
---|---|
< |
strictly less than |
<= |
less than or equal |
> |
strictly greater than |
>= |
greater than or equal |
== |
equal |
!= |
not equal |
is |
object identity |
is not |
negated object identity |
Objects of different types, except different numeric types, never compare equal.
Furthermore, some types (for example, file objects) support only a degenerate
notion of comparison where any two objects of that type are unequal. The <
,
<=
, >
and >=
operators will raise a :exc:`TypeError` exception when
any operand is a complex number, the objects are of different types that cannot
be compared, or other cases where there is no defined ordering.
Instances of a class normally compare as non-equal unless the class defines the :meth:`__eq__` or :meth:`__cmp__` method.
Instances of a class cannot be ordered with respect to other instances of the same class, or other types of object, unless the class defines enough of the methods :meth:`__cmp__`, :meth:`__lt__`, :meth:`__le__`, :meth:`__gt__`, and :meth:`__ge__` (in general, either :meth:`__cmp__` or both :meth:`__lt__` and :meth:`__eq__` are sufficient, if you want the conventional meanings of the comparison operators).
The behavior of the :keyword:`is` and :keyword:`is not` operators cannot be customized; also they can be applied to any two objects and never raise an exception.
Two more operations with the same syntactic priority, in
and not in
, are
supported only by sequence types (below).
Numeric Types --- :class:`int`, :class:`float`, :class:`complex`
There are three distinct numeric types: :dfn:`integers`, :dfn:`floating
point numbers`, and :dfn:`complex numbers`. In addition, Booleans are a
subtype of integers. Integers have unlimited precision. Floating point
numbers are implemented using :ctype:`double` in C---all bets on their
precision are off unless you happen to know the machine you are working
with. Complex numbers have a real and imaginary part, which are each
implemented using :ctype:`double` in C. To extract these parts from a
complex number z, use z.real
and z.imag
. (The standard library
includes additional numeric types, :mod:`fractions` that hold rationals,
and :mod:`decimal` that hold floating-point numbers with user-definable
precision.)
Numbers are created by numeric literals or as the result of built-in functions
and operators. Unadorned integer literals (including hex, octal and binary
numbers) yield integers. Numeric literals containing a decimal point or an
exponent sign yield floating point numbers. Appending 'j'
or 'J'
to a
numeric literal yields an imaginary number (a complex number with a zero real
part) which you can add to an integer or float to get a complex number with real
and imaginary parts.
Python fully supports mixed arithmetic: when a binary arithmetic operator has operands of different numeric types, the operand with the "narrower" type is widened to that of the other, where integer is narrower than floating point, which is narrower than complex. Comparisons between numbers of mixed type use the same rule. [2] The constructors :func:`int`, :func:`float`, and :func:`complex` can be used to produce numbers of a specific type.
All numeric types (except complex) support the following operations, sorted by ascending priority (operations in the same box have the same priority; all numeric operations have a higher priority than comparison operations):
Operation | Result | Notes | Full documentation |
---|---|---|---|
x + y |
sum of x and y | ||
x - y |
difference of x and y | ||
x * y |
product of x and y | ||
x / y |
quotient of x and y | ||
x // y |
floored quotient of x and y | (1) | |
x % y |
remainder of x / y
|
(2) | |
-x |
x negated | ||
+x |
x unchanged | ||
abs(x) |
absolute value or magnitude of x | :func:`abs` | |
int(x) |
x converted to integer | (3) | :func:`int` |
float(x) |
x converted to floating point | (4) | :func:`float` |
complex(re, im) |
a complex number with real part re, imaginary part im. im defaults to zero. | :func:`complex` | |
c.conjugate() |
conjugate of the complex number c | ||
divmod(x, y) |
the pair (x // y, x % y)
|
(2) | :func:`divmod` |
pow(x, y) |
x to the power y | (5) | :func:`pow` |
x ** y |
x to the power y | (5) |
Notes:
- Also referred to as integer division. The resultant value is a whole
integer, though the result's type is not necessarily int. The result is
always rounded towards minus infinity:
1//2
is0
,(-1)//2
is-1
,1//(-2)
is-1
, and(-1)//(-2)
is0
. - Not for complex numbers. Instead convert to floats using :func:`abs` if appropriate.
- Conversion from floating point to integer may round or truncate as in C; see functions :func:`floor` and :func:`ceil` in the :mod:`math` module for well-defined conversions.
- float also accepts the strings "nan" and "inf" with an optional prefix "+" or "-" for Not a Number (NaN) and positive or negative infinity.
- Python defines
pow(0, 0)
and0 ** 0
to be1
, as is common for programming languages.
All :class:`numbers.Real` types (:class:`int` and :class:`float`) also include the following operations:
Operation | Result | Notes |
---|---|---|
trunc(x) |
x truncated to Integral | |
round(x[, n]) |
x rounded to n digits, rounding half to even. If n is omitted, it defaults to 0. | |
math.floor(x) |
the greatest Integral <= x | |
math.ceil(x) |
the least Integral >= x |
For additional numeric operations see the :mod:`math` and :mod:`cmath` modules.
Bit-string Operations on Integer Types
Integers support additional operations that make sense only for bit-strings. Negative numbers are treated as their 2's complement value (this assumes a sufficiently large number of bits that no overflow occurs during the operation).
The priorities of the binary bitwise operations are all lower than the numeric
operations and higher than the comparisons; the unary operation ~
has the
same priority as the other unary numeric operations (+
and -
).
This table lists the bit-string operations sorted in ascending priority (operations in the same box have the same priority):
Operation | Result | Notes |
---|---|---|
x | y |
bitwise :dfn:`or` of x and y | |
x ^ y |
bitwise :dfn:`exclusive or` of x and y | |
x & y |
bitwise :dfn:`and` of x and y | |
x << n |
x shifted left by n bits | (1)(2) |
x >> n |
x shifted right by n bits | (1)(3) |
~x |
the bits of x inverted |
Notes:
- Negative shift counts are illegal and cause a :exc:`ValueError` to be raised.
- A left shift by n bits is equivalent to multiplication by
pow(2, n)
without overflow check. - A right shift by n bits is equivalent to division by
pow(2, n)
without overflow check.
Iterator Types
Python supports a concept of iteration over containers. This is implemented using two distinct methods; these are used to allow user-defined classes to support iteration. Sequences, described below in more detail, always support the iteration methods.
One method needs to be defined for container objects to provide iteration support:
The iterator objects themselves are required to support the following two methods, which together form the :dfn:`iterator protocol`:
Python defines several iterator objects to support iteration over general and specific sequence types, dictionaries, and other more specialized forms. The specific types are not important beyond their implementation of the iterator protocol.
Once an iterator's :meth:`__next__` method raises :exc:`StopIteration`, it must continue to do so on subsequent calls. Implementations that do not obey this property are deemed broken.
Python's :term:`generator`s provide a convenient way to implement the iterator protocol. If a container object's :meth:`__iter__` method is implemented as a generator, it will automatically return an iterator object (technically, a generator object) supplying the :meth:`__iter__` and :meth:`__next__` methods.
Sequence Types --- :class:`str`, :class:`bytes`, :class:`bytearray`, :class:`list`, :class:`tuple`, :class:`range`
There are five sequence types: strings, byte sequences, byte arrays, lists, tuples, and range objects. (For other containers see the built-in :class:`dict`, :class:`list`, :class:`set`, and :class:`tuple` classes, and the :mod:`collections` module.)
Strings contain Unicode characters. Their literals are written in single or
double quotes: 'xyzzy'
, "frobozz"
. See :ref:`strings` for more about
string literals. In addition to the functionality described here, there are
also string-specific methods described in the :ref:`string-methods` section.
Bytes and bytearray objects contain single bytes -- the former is immutable
while the latter is a mutable sequence. Bytes objects can be constructed the
constructor, :func:`bytes`, and from literals; use a b
prefix with normal
string syntax: b'xyzzy'
. To construct byte arrays, use the
:func:`bytearray` function.
Warning
While string objects are sequences of characters (represented by strings of
length 1), bytes and bytearray objects are sequences of integers (between 0
and 255), representing the ASCII value of single bytes. That means that for
a bytes or bytearray object b, b[0]
will be an integer, while
b[0:1]
will be a bytes or bytearray object of length 1. The
representation of bytes objects uses the literal format (b'...'
) since it
is generally more useful than e.g. bytes([50, 19, 100])
. You can always
convert a bytes object into a list of integers using list(b)
.
Also, while in previous Python versions, byte strings and Unicode strings could be exchanged for each other rather freely (barring encoding issues), strings and bytes are now completely separate concepts. There's no implicit en-/decoding if you pass and object of the wrong type. A string always compares unequal to a bytes or bytearray object.
Lists are constructed with square brackets, separating items with commas: [a,
b, c]
. Tuples are constructed by the comma operator (not within square
brackets), with or without enclosing parentheses, but an empty tuple must have
the enclosing parentheses, such as a, b, c
or ()
. A single item tuple
must have a trailing comma, such as (d,)
.
Objects of type range are created using the :func:`range` function. They don't
support slicing, concatenation or repetition, and using in
, not in
,
:func:`min` or :func:`max` on them is inefficient.
Most sequence types support the following operations. The in
and not in
operations have the same priorities as the comparison operations. The +
and
*
operations have the same priority as the corresponding numeric operations.
[3] Additional methods are provided for :ref:`typesseq-mutable`.
This table lists the sequence operations sorted in ascending priority (operations in the same box have the same priority). In the table, s and t are sequences of the same type; n, i and j are integers:
Operation | Result | Notes |
---|---|---|
x in s |
True if an item of s is
equal to x, else False
|
(1) |
x not in s |
False if an item of s is
equal to x, else True
|
(1) |
s + t |
the concatenation of s and t | (6) |
s * n, n * s |
n shallow copies of s concatenated | (2) |
s[i] |
i'th item of s, origin 0 | (3) |
s[i:j] |
slice of s from i to j | (3)(4) |
s[i:j:k] |
slice of s from i to j with step k | (3)(5) |
len(s) |
length of s | |
min(s) |
smallest item of s | |
max(s) |
largest item of s |
Sequence types also support comparisons. In particular, tuples and lists are compared lexicographically by comparing corresponding elements. This means that to compare equal, every element must compare equal and the two sequences must be of the same type and have the same length. (For full details see :ref:`comparisons` in the language reference.)
Notes:
-
When s is a string object, the
in
andnot in
operations act like a substring test. -
Values of n less than
0
are treated as0
(which yields an empty sequence of the same type as s). Note also that the copies are shallow; nested structures are not copied. This often haunts new Python programmers; consider:>>> lists = [[]] * 3 >>> lists [[], [], []] >>> lists[0].append(3) >>> lists [[3], [3], [3]]
What has happened is that
[[]]
is a one-element list containing an empty list, so all three elements of[[]] * 3
are (pointers to) this single empty list. Modifying any of the elements oflists
modifies this single list. You can create a list of different lists this way:>>> lists = [[] for i in range(3)] >>> lists[0].append(3) >>> lists[1].append(5) >>> lists[2].append(7) >>> lists [[3], [5], [7]]
-
If i or j is negative, the index is relative to the end of the string:
len(s) + i
orlen(s) + j
is substituted. But note that-0
is still0
. -
The slice of s from i to j is defined as the sequence of items with index k such that
i <= k < j
. If i or j is greater thanlen(s)
, uselen(s)
. If i is omitted orNone
, use0
. If j is omitted orNone
, uselen(s)
. If i is greater than or equal to j, the slice is empty. -
The slice of s from i to j with step k is defined as the sequence of items with index
x = i + n*k
such that0 <= n < (j-i)/k
. In other words, the indices arei
,i+k
,i+2*k
,i+3*k
and so on, stopping when j is reached (but never including j). If i or j is greater thanlen(s)
, uselen(s)
. If i or j are omitted orNone
, they become "end" values (which end depends on the sign of k). Note, k cannot be zero. If k isNone
, it is treated like1
. -
If s and t are both strings, some Python implementations such as CPython can usually perform an in-place optimization for assignments of the form
s=s+t
ors+=t
. When applicable, this optimization makes quadratic run-time much less likely. This optimization is both version and implementation dependent. For performance sensitive code, it is preferable to use the :meth:`str.join` method which assures consistent linear concatenation performance across versions and implementations.
String Methods
String objects support the methods listed below. Note that none of these methods take keyword arguments.
In addition, Python's strings support the sequence type methods described in the :ref:`typesseq` section. To output formatted strings, see the :ref:`string-formatting` section. Also, see the :mod:`re` module for string functions based on regular expressions.
Old String Formatting Operations
Note
The formatting operations described here are obsolete and may go away in future versions of Python. Use the new :ref:`string-formatting` in new code.
String objects have one unique built-in operation: the %
operator (modulo).
This is also known as the string formatting or interpolation operator.
Given format % values
(where format is a string), %
conversion
specifications in format are replaced with zero or more elements of values.
The effect is similar to the using :cfunc:`sprintf` in the C language.
If format requires a single argument, values may be a single non-tuple object. [4] Otherwise, values must be a tuple with exactly the number of items specified by the format string, or a single mapping object (for example, a dictionary).
A conversion specifier contains two or more characters and has the following components, which must occur in this order:
- The
'%'
character, which marks the start of the specifier. - Mapping key (optional), consisting of a parenthesised sequence of characters
(for example,
(somename)
). - Conversion flags (optional), which affect the result of some conversion types.
- Minimum field width (optional). If specified as an
'*'
(asterisk), the actual width is read from the next element of the tuple in values, and the object to convert comes after the minimum field width and optional precision. - Precision (optional), given as a
'.'
(dot) followed by the precision. If specified as'*'
(an asterisk), the actual width is read from the next element of the tuple in values, and the value to convert comes after the precision. - Length modifier (optional).
- Conversion type.
When the right argument is a dictionary (or other mapping type), then the
formats in the string must include a parenthesised mapping key into that
dictionary inserted immediately after the '%'
character. The mapping key
selects the value to be formatted from the mapping. For example:
>>> print('%(language)s has %(#)03d quote types.' % \ ... {'language': "Python", "#": 2}) Python has 002 quote types.
In this case no *
specifiers may occur in a format (since they require a
sequential parameter list).
The conversion flag characters are:
Flag | Meaning |
---|---|
'#' |
The value conversion will use the "alternate form" (where defined below). |
'0' |
The conversion will be zero padded for numeric values. |
'-' |
The converted value is left adjusted (overrides the '0'
conversion if both are given). |
' ' |
(a space) A blank should be left before a positive number (or empty string) produced by a signed conversion. |
'+' |
A sign character ('+' or '-' ) will precede the conversion
(overrides a "space" flag). |
A length modifier (h
, l
, or L
) may be present, but is ignored as it
is not necessary for Python -- so e.g. %ld
is identical to %d
.
The conversion types are:
Conversion | Meaning | Notes |
---|---|---|
'd' |
Signed integer decimal. | |
'i' |
Signed integer decimal. | |
'o' |
Signed octal value. | (1) |
'u' |
Obselete type -- it is identical to 'd' . |
(7) |
'x' |
Signed hexadecimal (lowercase). | (2) |
'X' |
Signed hexadecimal (uppercase). | (2) |
'e' |
Floating point exponential format (lowercase). | (3) |
'E' |
Floating point exponential format (uppercase). | (3) |
'f' |
Floating point decimal format. | (3) |
'F' |
Floating point decimal format. | (3) |
'g' |
Floating point format. Uses lowercase exponential format if exponent is less than -4 or not less than precision, decimal format otherwise. | (4) |
'G' |
Floating point format. Uses uppercase exponential format if exponent is less than -4 or not less than precision, decimal format otherwise. | (4) |
'c' |
Single character (accepts integer or single character string). | |
'r' |
String (converts any python object using :func:`repr`). | (5) |
's' |
String (converts any python object using :func:`str`). | |
'%' |
No argument is converted, results in a '%'
character in the result. |
Notes:
-
The alternate form causes a leading zero (
'0'
) to be inserted between left-hand padding and the formatting of the number if the leading character of the result is not already a zero. -
The alternate form causes a leading
'0x'
or'0X'
(depending on whether the'x'
or'X'
format was used) to be inserted between left-hand padding and the formatting of the number if the leading character of the result is not already a zero. -
The alternate form causes the result to always contain a decimal point, even if no digits follow it.
The precision determines the number of digits after the decimal point and defaults to 6.
-
The alternate form causes the result to always contain a decimal point, and trailing zeroes are not removed as they would otherwise be.
The precision determines the number of significant digits before and after the decimal point and defaults to 6.
-
The precision determines the maximal number of characters used.
- See PEP 237.
Since Python strings have an explicit length, %s
conversions do not assume
that '\0'
is the end of the string.
For safety reasons, floating point precisions are clipped to 50; %f
conversions for numbers whose absolute value is over 1e25 are replaced by %g
conversions. [5] All other errors raise exceptions.
Additional string operations are defined in standard modules :mod:`string` and :mod:`re`.
Range Type
The :class:`range` type is an immutable sequence which is commonly used for looping. The advantage of the :class:`range` type is that an :class:`range` object will always take the same amount of memory, no matter the size of the range it represents. There are no consistent performance advantages.
Range objects have very little behavior: they only support indexing, iteration, and the :func:`len` function.
Mutable Sequence Types
List and bytearray objects support additional operations that allow in-place modification of the object. Other mutable sequence types (when added to the language) should also support these operations. Strings and tuples are immutable sequence types: such objects cannot be modified once created. The following operations are defined on mutable sequence types (where x is an arbitrary object).
Note that while lists allow their items to be of any type, bytearray object "items" are all integers in the range 0 <= x < 256.
Operation | Result | Notes |
---|---|---|
s[i] = x |
item i of s is replaced by x | |
s[i:j] = t |
slice of s from i to j is replaced by the contents of the iterable t | |
del s[i:j] |
same as s[i:j] = []
|
|
s[i:j:k] = t |
the elements of s[i:j:k]
are replaced by those of t
|
(1) |
del s[i:j:k] |
removes the elements of
s[i:j:k] from the list |
|
s.append(x) |
same as s[len(s):len(s)] =
[x]
|
|
s.extend(x) |
same as s[len(s):len(s)] =
x
|
(2) |
s.count(x) |
return number of i's for
which s[i] == x
|
|
s.index(x[, i[, j]]) |
return smallest k such that
s[k] == x and i <= k <
j
|
(3) |
s.insert(i, x) |
same as s[i:i] = [x]
|
(4) |
s.pop([i]) |
same as x = s[i]; del s[i];
return x
|
(5) |
s.remove(x) |
same as del s[s.index(x)]
|
(3) |
s.reverse() |
reverses the items of s in place | (6) |
s.sort([key[, reverse]]) |
sort the items of s in place | (6), (7), (8) |
Notes:
-
t must have the same length as the slice it is replacing.
-
x can be any iterable object.
-
Raises :exc:`ValueError` when x is not found in s. When a negative index is passed as the second or third parameter to the :meth:`index` method, the sequence length is added, as for slice indices. If it is still negative, it is truncated to zero, as for slice indices.
-
When a negative index is passed as the first parameter to the :meth:`insert` method, the sequence length is added, as for slice indices. If it is still negative, it is truncated to zero, as for slice indices.
-
The optional argument i defaults to
-1
, so that by default the last item is removed and returned. -
The :meth:`sort` and :meth:`reverse` methods modify the sequence in place for economy of space when sorting or reversing a large sequence. To remind you that they operate by side effect, they don't return the sorted or reversed sequence.
-
The :meth:`sort` method takes optional arguments for controlling the comparisons. Each must be specified as a keyword argument.
key specifies a function of one argument that is used to extract a comparison key from each list element:
key=str.lower
. The default value isNone
.reverse is a boolean value. If set to
True
, then the list elements are sorted as if each comparison were reversed.The :meth:`sort` method is guaranteed to be stable. A sort is stable if it guarantees not to change the relative order of elements that compare equal --- this is helpful for sorting in multiple passes (for example, sort by department, then by salary grade).
While a list is being sorted, the effect of attempting to mutate, or even inspect, the list is undefined. The C implementation makes the list appear empty for the duration, and raises :exc:`ValueError` if it can detect that the list has been mutated during a sort.
-
:meth:`sort` is not supported by :class:`bytearray` objects.
Bytes and Byte Array Methods
Bytes and bytearray objects, being "strings of bytes", have all methods found on strings, with the exception of :func:`encode`, :func:`format` and :func:`isidentifier`, which do not make sense with these types. For converting the objects to strings, they have a :func:`decode` method.
Wherever one of these methods needs to interpret the bytes as characters (e.g. the :func:`is...` methods), the ASCII character set is assumed.
Note
The methods on bytes and bytearray objects don't accept strings as their arguments, just as the methods on strings don't accept bytes as their arguments. For example, you have to write
a = "abc"
b = a.replace("a", "f")
and
a = b"abc"
b = a.replace(b"a", b"f")
The bytes and bytearray types have an additional class method:
Set Types --- :class:`set`, :class:`frozenset`
A :dfn:`set` object is an unordered collection of distinct :term:`hashable` objects. Common uses include membership testing, removing duplicates from a sequence, and computing mathematical operations such as intersection, union, difference, and symmetric difference. (For other containers see the built in :class:`dict`, :class:`list`, and :class:`tuple` classes, and the :mod:`collections` module.)
Like other collections, sets support x in set
, len(set)
, and for x in
set
. Being an unordered collection, sets do not record element position or
order of insertion. Accordingly, sets do not support indexing, slicing, or
other sequence-like behavior.
There are currently two builtin set types, :class:`set` and :class:`frozenset`. The :class:`set` type is mutable --- the contents can be changed using methods like :meth:`add` and :meth:`remove`. Since it is mutable, it has no hash value and cannot be used as either a dictionary key or as an element of another set. The :class:`frozenset` type is immutable and :term:`hashable` --- its contents cannot be altered after it is created; it can therefore be used as a dictionary key or as an element of another set.
The constructors for both classes work the same:
Return a new set or frozenset object whose elements are taken from iterable. The elements of a set must be hashable. To represent sets of sets, the inner sets must be :class:`frozenset` objects. If iterable is not specified, a new empty set is returned.
Instances of :class:`set` and :class:`frozenset` provide the following operations:
Note, the non-operator versions of :meth:`union`, :meth:`intersection`,
:meth:`difference`, and :meth:`symmetric_difference`, :meth:`issubset`, and
:meth:`issuperset` methods will accept any iterable as an argument. In
contrast, their operator based counterparts require their arguments to be
sets. This precludes error-prone constructions like set('abc') & 'cbs'
in favor of the more readable set('abc').intersection('cbs')
.
Both :class:`set` and :class:`frozenset` support set to set comparisons. Two sets are equal if and only if every element of each set is contained in the other (each is a subset of the other). A set is less than another set if and only if the first set is a proper subset of the second set (is a subset, but is not equal). A set is greater than another set if and only if the first set is a proper superset of the second set (is a superset, but is not equal).
Instances of :class:`set` are compared to instances of :class:`frozenset`
based on their members. For example, set('abc') == frozenset('abc')
returns True
and so does set('abc') in set([frozenset('abc')])
.
The subset and equality comparisons do not generalize to a complete ordering
function. For example, any two disjoint sets are not equal and are not
subsets of each other, so all of the following return False
: a<b
,
a==b
, or a>b
. Accordingly, sets do not implement the :meth:`__cmp__`
method.
Since sets only define partial ordering (subset relationships), the output of the :meth:`list.sort` method is undefined for lists of sets.
Set elements, like dictionary keys, must be :term:`hashable`.
Binary operations that mix :class:`set` instances with :class:`frozenset`
return the type of the first operand. For example: frozenset('ab') |
set('bc')
returns an instance of :class:`frozenset`.
The following table lists operations available for :class:`set` that do not apply to immutable instances of :class:`frozenset`:
Note, the non-operator versions of the :meth:`update`, :meth:`intersection_update`, :meth:`difference_update`, and :meth:`symmetric_difference_update` methods will accept any iterable as an argument.
Note, the elem argument to the :meth:`__contains__`, :meth:`remove`, and :meth:`discard` methods may be a set. To support searching for an equivalent frozenset, the elem set is temporarily mutated during the search and then restored. During the search, the elem set should not be read or mutated since it does not have a meaningful value.
Mapping Types --- :class:`dict`
A :dfn:`mapping` object maps :term:`hashable` values to arbitrary objects. Mappings are mutable objects. There is currently only one standard mapping type, the :dfn:`dictionary`. (For other containers see the built in :class:`list`, :class:`set`, and :class:`tuple` classes, and the :mod:`collections` module.)
A dictionary's keys are almost arbitrary values. Values that are not
:term:`hashable`, that is, values containing lists, dictionaries or other
mutable types (that are compared by value rather than by object identity) may
not be used as keys. Numeric types used for keys obey the normal rules for
numeric comparison: if two numbers compare equal (such as 1
and 1.0
)
then they can be used interchangeably to index the same dictionary entry. (Note
however, that since computers store floating-point numbers as approximations it
is usually unwise to use them as dictionary keys.)
Dictionaries can be created by placing a comma-separated list of key: value
pairs within braces, for example: {'jack': 4098, 'sjoerd': 4127}
or {4098:
'jack', 4127: 'sjoerd'}
, or by the :class:`dict` constructor.
Return a new dictionary initialized from an optional positional argument or from a set of keyword arguments. If no arguments are given, return a new empty dictionary. If the positional argument arg is a mapping object, return a dictionary mapping the same keys to the same values as does the mapping object. Otherwise the positional argument must be a sequence, a container that supports iteration, or an iterator object. The elements of the argument must each also be of one of those kinds, and each must in turn contain exactly two objects. The first is used as a key in the new dictionary, and the second as the key's value. If a given key is seen more than once, the last value associated with it is retained in the new dictionary.
If keyword arguments are given, the keywords themselves with their associated
values are added as items to the dictionary. If a key is specified both in
the positional argument and as a keyword argument, the value associated with
the keyword is retained in the dictionary. For example, these all return a
dictionary equal to {"one": 2, "two": 3}
:
dict(one=2, two=3)
dict({'one': 2, 'two': 3})
dict(zip(('one', 'two'), (2, 3)))
dict([['two', 3], ['one', 2]])
The first example only works for keys that are valid Python identifiers; the others work with any valid keys.
These are the operations that dictionaries support (and therefore, custom mapping types should support too):
Dictionary view objects
The objects returned by :meth:`dict.keys`, :meth:`dict.values` and :meth:`dict.items` are view objects. They provide a dynamic view on the dictionary's entries, which means that when the dictionary changes, the view reflects these changes. The keys and items views have a set-like character since their entries
Dictionary views can be iterated over to yield their respective data, and support membership tests:
The keys and items views also provide set-like operations ("other" here refers to another dictionary view or a set):
Warning
Since a dictionary's values are not required to be hashable, any of these four operations will fail if an involved dictionary contains such a value.
An example of dictionary view usage:
>>> dishes = {'eggs': 2, 'sausage': 1, 'bacon': 1, 'spam': 500}
>>> keys = dishes.keys()
>>> values = dishes.values()
>>> # iteration
>>> n = 0
>>> for val in values:
... n += val
>>> print(n)
504
>>> # keys and values are iterated over in the same order
>>> list(keys)
['eggs', 'bacon', 'sausage', 'spam']
>>> list(values)
[2, 1, 1, 500]
>>> # view objects are dynamic and reflect dict changes
>>> del dishes['eggs']
>>> del dishes['sausage']
>>> list(keys)
['spam', 'bacon']
>>> # set operations
>>> keys & {'eggs', 'bacon', 'salad'}
{'eggs', 'bacon'}
File Objects
File objects are implemented using C's stdio
package and can be
created with the built-in :func:`open` function. File
objects are also returned by some other built-in functions and methods,
such as :func:`os.popen` and :func:`os.fdopen` and the :meth:`makefile`
method of socket objects. Temporary files can be created using the
:mod:`tempfile` module, and high-level file operations such as copying,
moving, and deleting files and directories can be achieved with the
:mod:`shutil` module.
When a file operation fails for an I/O-related reason, the exception :exc:`IOError` is raised. This includes situations where the operation is not defined for some reason, like :meth:`seek` on a tty device or writing a file opened for reading.
Files have the following methods:
Files support the iterator protocol. Each iteration returns the same result as
file.readline()
, and iteration ends when the :meth:`readline` method returns
an empty string.
File objects also offer a number of other interesting attributes. These are not required for file-like objects, but should be implemented if they make sense for the particular object.
Context Manager Types
Python's :keyword:`with` statement supports the concept of a runtime context defined by a context manager. This is implemented using two separate methods that allow user-defined classes to define a runtime context that is entered before the statement body is executed and exited when the statement ends.
The :dfn:`context management protocol` consists of a pair of methods that need to be provided for a context manager object to define a runtime context:
Python defines several context managers to support easy thread synchronisation, prompt closure of files or other objects, and simpler manipulation of the active decimal arithmetic context. The specific types are not treated specially beyond their implementation of the context management protocol. See the :mod:`contextlib` module for some examples.
Python's :term:`generator`s and the contextlib.contextfactory
:term:`decorator`
provide a convenient way to implement these protocols. If a generator function is
decorated with the contextlib.contextfactory
decorator, it will return a
context manager implementing the necessary :meth:`__enter__` and
:meth:`__exit__` methods, rather than the iterator produced by an undecorated
generator function.
Note that there is no specific slot for any of these methods in the type structure for Python objects in the Python/C API. Extension types wanting to define these methods must provide them as a normal Python accessible method. Compared to the overhead of setting up the runtime context, the overhead of a single class dictionary lookup is negligible.
Other Built-in Types
The interpreter supports several other kinds of objects. Most of these support only one or two operations.
Modules
The only special operation on a module is attribute access: m.name
, where
m is a module and name accesses a name defined in m's symbol table.
Module attributes can be assigned to. (Note that the :keyword:`import`
statement is not, strictly speaking, an operation on a module object; import
foo
does not require a module object named foo to exist, rather it requires
an (external) definition for a module named foo somewhere.)
A special member of every module is :attr:`__dict__`. This is the dictionary
containing the module's symbol table. Modifying this dictionary will actually
change the module's symbol table, but direct assignment to the :attr:`__dict__`
attribute is not possible (you can write m.__dict__['a'] = 1
, which defines
m.a
to be 1
, but you can't write m.__dict__ = {}
). Modifying
:attr:`__dict__` directly is not recommended.
Modules built into the interpreter are written like this: <module 'sys'
(built-in)>
. If loaded from a file, they are written as <module 'os' from
'/usr/local/lib/pythonX.Y/os.pyc'>
.
Classes and Class Instances
See :ref:`objects` and :ref:`class` for these.
Functions
Function objects are created by function definitions. The only operation on a
function object is to call it: func(argument-list)
.
There are really two flavors of function objects: built-in functions and user-defined functions. Both support the same operation (to call the function), but the implementation is different, hence the different object types.
See :ref:`function` for more information.
Methods
Methods are functions that are called using the attribute notation. There are two flavors: built-in methods (such as :meth:`append` on lists) and class instance methods. Built-in methods are described with the types that support them.
If you access a method (a function defined in a class namespace) through an
instance, you get a special object: a :dfn:`bound method` (also called
:dfn:`instance method`) object. When called, it will add the self
argument
to the argument list. Bound methods have two special read-only attributes:
m.__self__
is the object on which the method operates, and m.__func__
is
the function implementing the method. Calling m(arg-1, arg-2, ..., arg-n)
is completely equivalent to calling m.__func__(m.__self__, arg-1, arg-2, ...,
arg-n)
.
Like function objects, bound method objects support getting arbitrary
attributes. However, since method attributes are actually stored on the
underlying function object (meth.__func__
), setting method attributes on
bound methods is disallowed. Attempting to set a method attribute results in a
:exc:`TypeError` being raised. In order to set a method attribute, you need to
explicitly set it on the underlying function object:
class C:
def method(self):
pass
c = C()
c.method.__func__.whoami = 'my name is c'
See :ref:`types` for more information.
Code Objects
Code objects are used by the implementation to represent "pseudo-compiled" executable Python code such as a function body. They differ from function objects because they don't contain a reference to their global execution environment. Code objects are returned by the built-in :func:`compile` function and can be extracted from function objects through their :attr:`__code__` attribute. See also the :mod:`code` module.
A code object can be executed or evaluated by passing it (instead of a source string) to the :func:`exec` or :func:`eval` built-in functions.
See :ref:`types` for more information.
Type Objects
Type objects represent the various object types. An object's type is accessed by the built-in function :func:`type`. There are no special operations on types. The standard module :mod:`types` defines names for all standard built-in types.
Types are written like this: <class 'int'>
.
The Null Object
This object is returned by functions that don't explicitly return a value. It
supports no special operations. There is exactly one null object, named
None
(a built-in name).
It is written as None
.
The Ellipsis Object
This object is commonly used by slicing (see :ref:`slicings`). It supports no special operations. There is exactly one ellipsis object, named :const:`Ellipsis` (a built-in name).
It is written as Ellipsis
or ...
.
Boolean Values
Boolean values are the two constant objects False
and True
. They are
used to represent truth values (although other values can also be considered
false or true). In numeric contexts (for example when used as the argument to
an arithmetic operator), they behave like the integers 0 and 1, respectively.
The built-in function :func:`bool` can be used to cast any value to a Boolean,
if the value can be interpreted as a truth value (see section Truth Value
Testing above).
They are written as False
and True
, respectively.
Internal Objects
See :ref:`types` for this information. It describes stack frame objects, traceback objects, and slice objects.
Special Attributes
The implementation adds a few special read-only attributes to several object types, where they are relevant. Some of these are not reported by the :func:`dir` built-in function.
Footnotes
[1] | Additional information on these special methods may be found in the Python Reference Manual (:ref:`customization`). |
[2] | As a consequence, the list [1, 2] is considered equal to [1.0, 2.0] , and
similarly for tuples. |
[3] | They must have since the parser can't tell the type of the operands. |
[4] | To format only a tuple you should therefore provide a singleton tuple whose only element is the tuple to be formatted. |
[5] | These numbers are fairly arbitrary. They are intended to avoid printing endless strings of meaningless digits without hampering correct use and without having to know the exact precision of floating point values on a particular machine. |
[6] | The advantage of leaving the newline on is that returning an empty string is then an unambiguous EOF indication. It is also possible (in cases where it might matter, for example, if you want to make an exact copy of a file while scanning its lines) to tell whether the last line of a file ended in a newline or not (yes this happens!). |