Get all combinations of elements from two lists?

Question

If I have two lists

l1 = [ 'A', 'B' ]

l2 = [ 1, 2 ]

what is the most elegant way to get a pandas data frame which looks like:

+-----+-----+-----+
|     | l1  | l2  |
+-----+-----+-----+
|  0  | A   | 1   |
+-----+-----+-----+
|  1  | A   | 2   |
+-----+-----+-----+
|  2  | B   | 1   |
+-----+-----+-----+
|  3  | B   | 2   |
+-----+-----+-----+

Note, the first column is the index.

Answer 1

use product from itertools:

>>> from itertools import product
>>> pd.DataFrame(list(product(l1, l2)), columns=['l1', 'l2'])
  l1  l2
0  A   1
1  A   2
2  B   1
3  B   2

Answer 2

As an alternative you can use pandas' cartesian_product (may be more useful with large numpy arrays):

In [11]: lp1, lp2 = pd.core.reshape.util.cartesian_product([l1, l2])

In [12]: pd.DataFrame(dict(l1=lp1, l2=lp2))
Out[12]:
  l1  l2
0  A   1
1  A   2
2  B   1
3  B   2

This seems a little messy to read in to a DataFrame with the correct orient...

Note: previously cartesian_product was located at pd.core.reshape.util.cartesian_product.

Answer 3

You can also use the sklearn library, which uses a NumPy-based approach:

from sklearn.utils.extmath import cartesian

df = pd.DataFrame(cartesian((L1, L2)))

For more verbose but possibly more efficient variants see Numpy: cartesian product of x and y array points into single array of 2D points.