Set
Sets are an unordered collection of unique values that can be modified at runtime. This module shows how sets are created, iterated, accessed, extended and shortened.
def main():
# Let's define one `set` for starters
simple_set = {0, 1, 2}
# A set is dynamic like a `list` and `tuple`
simple_set.add(3)
simple_set.remove(0)
assert simple_set == {1, 2, 3}
# Unlike a `list and `tuple`, it is not an ordered sequence as it
# does not allow duplicates to be added
for _ in range(5):
simple_set.add(0)
simple_set.add(4)
assert simple_set == {0, 1, 2, 3, 4}
# Use `pop` return any random element from a set
random_element = simple_set.pop()
assert random_element in {0, 1, 2, 3, 4}
assert random_element not in simple_set
# Now let's define two new `set` collections
multiples_two = set()
multiples_four = set()
# Fill sensible values into the set using `add`
for i in range(10):
multiples_two.add(i * 2)
multiples_four.add(i * 4)
# As we can see, both sets have similarities and differences
assert multiples_two == {0, 2, 4, 6, 8, 10, 12, 14, 16, 18}
assert multiples_four == {0, 4, 8, 12, 16, 20, 24, 28, 32, 36}
# We cannot decide in which order the numbers come out - so let's
# look for fundamental truths instead, such as divisibility against
# 2 and 4. We do this by checking whether the modulus of 2 and 4
# yields 0 (i.e. no remainder from performing a division). We can
# also use `&` to perform set intersection
multiples_common = multiples_two.intersection(multiples_four)
multiples_common_shorthand = multiples_two & multiples_four
for number in multiples_common:
assert number % 2 == 0 and number % 4 == 0
for number in multiples_common_shorthand:
assert number % 2 == 0 and number % 4 == 0
# We can compute exclusive multiples. We can also use `-` to perform
# set difference
multiples_two_exclusive = multiples_two.difference(multiples_four)
multiples_two_exclusive_shorthand = multiples_two - multiples_four
multiples_four_exclusive = multiples_four.difference(multiples_two)
assert len(multiples_two_exclusive) > 0
assert len(multiples_four_exclusive) > 0
assert len(multiples_two_exclusive_shorthand) > 0
# Numbers in this bracket are greater than 2 * 9 and less than 4 * 10
for number in multiples_four_exclusive:
assert 18 < number < 40
# By computing a set union against the two sets, we have all integers
# in this program. We can also use `|` to perform set union
multiples_all = multiples_two.union(multiples_four)
multiples_all_shorthand = multiples_two | multiples_four
# Check if set A is a subset of set B
assert multiples_four_exclusive.issubset(multiples_four)
assert multiples_four.issubset(multiples_all)
# Check if set A is a subset and superset of itself
assert multiples_all.issubset(multiples_all)
assert multiples_all.issuperset(multiples_all)
assert multiples_all_shorthand.issuperset(multiples_all_shorthand)
# Check if set A is a superset of set B
assert multiples_all.issuperset(multiples_two)
assert multiples_two.issuperset(multiples_two_exclusive)
if __name__ == "__main__":
main()