Set Operations using Methods and Builtins

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We define two sets a and b

>>> a = {1, 2, 2, 3, 4}
>>> b = {3, 3, 4, 4, 5}
NOTE: {1} creates a set of one element, but {} creates an empty dict. The correct way to create an empty set is set().

Intersection

a.intersection(b) returns a new set with elements present in both a and b

>>> a.intersection(b)
{3, 4}

Union

a.union(b) returns a new set with elements present in either a and b

>>> a.union(b)
{1, 2, 3, 4, 5}

Difference

a.difference(b) returns a new set with elements present in a but not in b

>>> a.difference(b)
{1, 2}
>>> b.difference(a)
{5}

Symmetric Difference

a.symmetric_difference(b) returns a new set with elements present in either a or b but not in both

>>> a.symmetric_difference(b)
{1, 2, 5}
>>> b.symmetric_difference(a)
{1, 2, 5}

NOTE: a.symmetric_difference(b) == b.symmetric_difference(a)

Subset and superset

c.issubset(a) tests whether each element of c is in a.

a.issuperset(c) tests whether each element of c is in a.

>>> c = {1, 2}
>>> c.issubset(a)
True
>>> a.issuperset(c)
True

The latter operations have equivalent operators as shown below:

|Method                      |Operator        |
|––––––––––––––|––––––––|
|`a.intersection(b)`         | `a & b`        |
|`a.union(b)`                | `a`|`b` |
|`a.difference(b)`           | `a - b`        |
|`a.symmetric_difference(b)` | `a ^ b`        |
|`a.issubset(b)`             | `a <= b`       |
|`a.issuperset(b)`           | `a >= b`       |

Disjoint sets

Sets a and d are disjoint if no element in a is also in d and vice versa.

>>> d = {5, 6}
>>> a.isdisjoint(b) # {2, 3, 4} are in both sets
False
>>> a.isdisjoint(d)
True

# This is an equivalent check, but less efficient
>>> len(a & d) == 0
True

# This is even less efficient
>>> a & d == set()
True

Testing membership

The builtin in keyword searches for occurances

>>> 1 in a
True
>>> 6 in a
False

Length

The builtin len() function returns the number of elements in the set

>>> len(a)
4
>>> len(b)
3

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Set:
* Set
* Set Operations using Methods and Builtins

Table Of Contents
2 Filter
3 List
7 Loops
22 Reduce
27 Classes
31 Set
42 Tuple
45 Enum
62 Sockets
89 urllib
92 Idioms
104 Stack
105 Profiling
109 Logging
111 os module
118 Mixins
120 ArcPy
126 Arrays
132 2to3 tool
135 Unicode
138 Neo4j
140 Curses
141 Templates
145 heapq
146 tkinter
154 Audio
155 pyglet
157 ijson
160 Flask
161 Groupby
163 pygame
165 hashlib
166 Gzip
167 ctypes
185 pyaudio
186 shelve