`cartesian_product` AssertionError

[eviatarbach]

As of now, passing a list, tuple, or set to cartesian_product returns an AssertionError.

sage: cartesian_product([[0,1]])
AssertionError: 
sage: cartesian_product([FiniteEnumeratedSet([0,1])])  
The cartesian product of ({0, 1},)

I understand that this function can construct Cartesian products on different categories, so I see why it requires specific types. However, the error message should be more descriptive, especially considering that cartesian_product_iterator([[0,1]]), CartesianProduct([0,1]), and permutations([[0,1]]) all work.

Component: combinatorics

Reviewer: Frédéric Chapoton, Vincent Delecroix

Issue created by migration from https://trac.sagemath.org/ticket/14224

[videlec]

comment:5

Hello,

I propose to close this one as duplicate since with #18411 tuple/list input are automatically converted into FiniteEnumeratedSet and set/frozenset converted to Set

sage: C = cartesian_product([[1,2], (3,4), set([1,2,3]), frozenset([1,2])])
The cartesian product of ({1, 2}, {3, 4}, {1, 2, 3}, {1, 2})
sage: for c in C.cartesian_factors():
....:     print c.__class__.__name__
FiniteEnumeratedSet_with_category
FiniteEnumeratedSet_with_category
Set_object_enumerated_with_category
Set_object_enumerated_with_category

Vincent