| from sympy.ntheory.partitions_ import npartitions, _partition_rec, _partition | |
| def test__partition_rec(): | |
| A000041 = [1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, | |
| 176, 231, 297, 385, 490, 627, 792, 1002, 1255, 1575] | |
| for n, val in enumerate(A000041): | |
| assert _partition_rec(n) == val | |
| def test__partition(): | |
| assert [_partition(k) for k in range(13)] == \ | |
| [1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77] | |
| assert _partition(100) == 190569292 | |
| assert _partition(200) == 3972999029388 | |
| assert _partition(1000) == 24061467864032622473692149727991 | |
| assert _partition(1001) == 25032297938763929621013218349796 | |
| assert _partition(2000) == 4720819175619413888601432406799959512200344166 | |
| assert _partition(10000) % 10**10 == 6916435144 | |
| assert _partition(100000) % 10**10 == 9421098519 | |
| assert _partition(10000000) % 10**10 == 7677288980 | |
| def test_deprecated_ntheory_symbolic_functions(): | |
| from sympy.testing.pytest import warns_deprecated_sympy | |
| with warns_deprecated_sympy(): | |
| assert npartitions(0) == 1 | |