def test_Submodule_reduce_element():
T = Poly(cyclotomic_poly(5, x))
A = PowerBasis(T)
B = A.whole_submodule()
b = B(to_col([90, 84, 80, 75]), denom=120)
C = B.submodule_from_matrix(DomainMatrix.eye(4, ZZ), denom=2)
b_bar_expected = B(to_col([30, 24, 20, 15]), denom=120)
b_bar = C.reduce_element(b)
assert b_bar == b_bar_expected
C = B.submodule_from_matrix(DomainMatrix.eye(4, ZZ), denom=4)
b_bar_expected = B(to_col([0, 24, 20, 15]), denom=120)
b_bar = C.reduce_element(b)
assert b_bar == b_bar_expected
C = B.submodule_from_matrix(DomainMatrix.eye(4, ZZ), denom=8)
b_bar_expected = B(to_col([0, 9, 5, 0]), denom=120)
b_bar = C.reduce_element(b)
assert b_bar == b_bar_expected
a = A(to_col([1, 2, 3, 4]))
raises(NotImplementedError, lambda: C.reduce_element(a))
C = B.submodule_from_matrix(
DomainMatrix(
[[5, 4, 3, 2], [0, 8, 7, 6], [0, 0, 11, 12], [0, 0, 0, 1]], (4, 4),
ZZ).transpose())
raises(StructureError, lambda: C.reduce_element(b))
def test_Module_whole_submodule():
T = Poly(cyclotomic_poly(5, x))
A = PowerBasis(T)
B = A.whole_submodule()
e = B(to_col([1, 2, 3, 4]))
f = e.to_parent()
assert f.col.flat() == [1, 2, 3, 4]
e0, e1, e2, e3 = B(0), B(1), B(2), B(3)
assert e2 * e3 == e0
assert e3**2 == e1
