itertools.product

itertools.product(*itr, repeat=1)

• The product function is used to:

  • Cycle through each element of each iterable
  • Perform a cartesian product of input iterables
• These iterables are based on the *itr parameter
• The number of repetitions is based on the repeat parameter
• The repeat parameter is optional and defaults to $1$
• repeat returns an iterator of elements that represent a cartesian product of the input iterables itr

Illustrating the product Function

>>> from itertools import product

>>> itr = product('ABC', 'xy')
>>> for i in itr: print(i)
('A', 'x')
('A', 'y')
('B', 'x')
('B', 'y')
('C', 'x')
('C', 'y')

>>> itr = product(range(2), repeat=3)
>>> for i in itr: print(i)
(0, 0, 0)
(0, 0, 1)
(0, 1, 0)
(0, 1, 1)
(1, 0, 0)
(1, 0, 1)
(1, 1, 0)
(1, 1, 1)

>>> itr = product([1,2,3], repeat=2)
>>> for i in itr: print(i)
(1, 1)
(1, 2)
(1, 3)
(2, 1)
(2, 2)
(2, 3)
(3, 1)
(3, 2)
(3, 3)

References

• Documentation of the Product Function from Itertools