Power set and Cartesian Product of a set python

Question

I am trying to find the cartesian product of two different sets. I can not find anything on the web about cartesian products of sets it\'s either of list or dictionaries.

Answer 1

For the Cartesian product, check out itertools.product.

For the powerset, the itertools docs also give us a recipe:

def powerset(iterable):
    "powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
    s = list(iterable)
    return chain.from_iterable(combinations(s, r) for r in range(len(s)+1))

For example:

>>> test = {1, 2, 3}
>>> list(powerset(test))
[(), (1,), (2,), (3,), (1, 2), (1, 3), (2, 3), (1, 2, 3)]
>>> list(product(test, test))
[(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)]