def test1__mul__():
x = dual.Dual(2)
f = x * 9
assert f.val == 18
assert f.der == 9
def test2__mul__():
x = dual.Dual(1)
f = x * x
assert f.val == 1
assert f.der == 2
def test__neg__():
x = dual.Dual(3)
f = -x
assert f.val == -3
assert f.der == -1
def test__rsub__():
x = dual.Dual(1)
f = 4 - 4 * x
assert f.val == 0
assert f.der == -4
def test1__sub__():
x = dual.Dual(2)
f = 6 * x - 9
assert f.val == 3
assert f.der == 6
def test2__sub__():
x = dual.Dual(3)
f = 6 * x - 4 * x
assert f.val == 6
assert f.der == 2
def test2__add__():
x = dual.Dual(2)
f = 6 * x + 4 * x
assert f.val == 20
assert f.der == 10
def test__rtruediv__():
x = dual.Dual(2)
f = 1 / x
assert f.val == 0.5
assert f.der == -0.25
def test__rpow__():
x = dual.Dual(2)
f = 2**x
assert f.val == 4.0
assert f.der == np.log(2) * 2**2
def test1__add__():
x = dual.Dual(3)
f = 6 * x + 9
assert f.val == 27
assert f.der == 6
def test__pos__():
x = dual.Dual(-3)
f = +x
assert f.val == -3
assert f.der == 1
def test2__pow__():
x = dual.Dual(2)
f = x**2
assert f.val == 4
assert f.der == 4
def test1__pow__():
x = dual.Dual(2)
f = x**x
assert f.val == 4.0
assert f.der == 2 * (2 + 2 * np.log(2))
def test__rmul__():
x = dual.Dual(3)
f = 4 * x
assert f.val == 12
assert f.der == 4
def test__radd__():
x = dual.Dual(2)
f = 4 + 4 * x
assert f.val == 12
assert f.der == 4
def test1__truediv__():
x = dual.Dual(2)
f = x / 10
assert f.val == 0.2
assert f.der == 0.1
def test2__truediv__():
x = dual.Dual(1)
f = (2 * x**2) / (4 * x)
assert f.val == 0.5
assert f.der == 0.5