def test_Domain_is_unit(): nums = [-2, -1, 0, 1, 2] invring = [False, True, False, True, False] invfield = [True, True, False, True, True] ZZx, QQx, QQxf = ZZ[x], QQ[x], QQ.frac_field(x) assert [ZZ.is_unit(ZZ(n)) for n in nums] == invring assert [QQ.is_unit(QQ(n)) for n in nums] == invfield assert [ZZx.is_unit(ZZx(n)) for n in nums] == invring assert [QQx.is_unit(QQx(n)) for n in nums] == invfield assert [QQxf.is_unit(QQxf(n)) for n in nums] == invfield assert ZZx.is_unit(ZZx(x)) is False assert QQx.is_unit(QQx(x)) is False assert QQxf.is_unit(QQxf(x)) is True