def test_PythonRationalType__lt_le_gt_ge__():
assert (Q(1, 2) < Q(1, 4)) is False
assert (Q(1, 2) <= Q(1, 4)) is False
assert (Q(1, 2) > Q(1, 4)) is True
assert (Q(1, 2) >= Q(1, 4)) is True
assert (Q(1, 4) < Q(1, 2)) is True
assert (Q(1, 4) <= Q(1, 2)) is True
assert (Q(1, 4) > Q(1, 2)) is False
assert (Q(1, 4) >= Q(1, 2)) is False
def test_PythonRationalType__pow__():
assert Q(1)**10 == Q(1)
assert Q(2)**10 == Q(1024)
assert Q(1)**(-10) == Q(1)
assert Q(2)**(-10) == Q(1, 1024)
def test_PythonRationalType__eq__():
assert (Q(1, 2) == Q(1, 2)) is True
assert (Q(1, 2) != Q(1, 2)) is False
assert (Q(1, 2) == Q(1, 3)) is False
assert (Q(1, 2) != Q(1, 3)) is True
def test_PythonRationalType__mul__():
assert Q(-1, 2) * Q(1, 2) == Q(-1, 4)
assert Q(1, 2) * Q(-1, 2) == Q(-1, 4)
assert Q(1, 2) * Q(1, 2) == Q(1, 4)
assert Q(1, 2) * Q(3, 2) == Q(3, 4)
assert Q(3, 2) * Q(1, 2) == Q(3, 4)
assert Q(3, 2) * Q(3, 2) == Q(9, 4)
assert 2 * Q(1, 2) == Q(1)
assert Q(1, 2) * 2 == Q(1)
def test_PythonRationalType__div__():
assert Q(-1, 2) / Q(1, 2) == Q(-1)
assert Q(1, 2) / Q(-1, 2) == Q(-1)
assert Q(1, 2) / Q(1, 2) == Q(1)
assert Q(1, 2) / Q(3, 2) == Q(1, 3)
assert Q(3, 2) / Q(1, 2) == Q(3)
assert Q(3, 2) / Q(3, 2) == Q(1)
assert 2 / Q(1, 2) == Q(4)
assert Q(1, 2) / 2 == Q(1, 4)
raises(ZeroDivisionError, "Q(1, 2) / Q(0)")
raises(ZeroDivisionError, "Q(1, 2) / 0")
def test_PythonRationalType__add__():
assert Q(-1, 2) + Q(1, 2) == Q(0)
assert Q(1, 2) + Q(-1, 2) == Q(0)
assert Q(1, 2) + Q(1, 2) == Q(1)
assert Q(1, 2) + Q(3, 2) == Q(2)
assert Q(3, 2) + Q(1, 2) == Q(2)
assert Q(3, 2) + Q(3, 2) == Q(3)
assert 1 + Q(1, 2) == Q(3, 2)
assert Q(1, 2) + 1 == Q(3, 2)
def test_PythonRationalType__sub__():
assert Q(-1, 2) - Q(1, 2) == Q(-1)
assert Q(1, 2) - Q(-1, 2) == Q(1)
assert Q(1, 2) - Q(1, 2) == Q(0)
assert Q(1, 2) - Q(3, 2) == Q(-1)
assert Q(3, 2) - Q(1, 2) == Q(1)
assert Q(3, 2) - Q(3, 2) == Q(0)
assert 1 - Q(1, 2) == Q(1, 2)
assert Q(1, 2) - 1 == Q(-1, 2)
def test_PythonRationalType__pos__():
assert +Q(-1, 2) == Q(-1, 2)
assert +Q(1, 2) == Q(1, 2)
def test_PythonRationalType__neg__():
assert -Q(-1, 2) == Q(1, 2)
assert -Q(1, 2) == Q(-1, 2)
def test_PythonRationalType__abs__():
assert abs(Q(-1, 2)) == Q(1, 2)
assert abs(Q(1, 2)) == Q(1, 2)
def test_PythonRationalType__float__():
assert float(Q(-1, 2)) == -0.5
assert float(Q(1, 2)) == 0.5
def test_PythonRationalType__int__():
assert int(Q(-1, 4)) == 0
assert int(Q(1, 4)) == 0
assert int(Q(-5, 4)) == -1
assert int(Q(5, 4)) == 1
def test_PythonRationalType__hash__():
assert hash(Q(0)) == hash(0)
assert hash(Q(1)) == hash(1)
assert hash(Q(117)) == hash(117)
def test_PythonRationalType__init__():
assert Q(0).p == 0
assert Q(0).q == 1
assert Q(0, 1).p == 0
assert Q(0, 1).q == 1
assert Q(0, -1).p == 0
assert Q(0, -1).q == 1
assert Q(1).p == 1
assert Q(1).q == 1
assert Q(1, 1).p == 1
assert Q(1, 1).q == 1
assert Q(-1, -1).p == 1
assert Q(-1, -1).q == 1
assert Q(-1).p == -1
assert Q(-1).q == 1
assert Q(-1, 1).p == -1
assert Q(-1, 1).q == 1
assert Q(1, -1).p == -1
assert Q(1, -1).q == 1
assert Q(1, 2).p == 1
assert Q(1, 2).q == 2
assert Q(3, 4).p == 3
assert Q(3, 4).q == 4
assert Q(2, 2).p == 1
assert Q(2, 2).q == 1
assert Q(2, 4).p == 1
assert Q(2, 4).q == 2