def test_1():
'''
Testing sin(x) derivative and value
'''
x = AD.AADVariable((math.pi / 2))
x = AD.sin(x)
#value check
assert abs(x.val - math.sin(math.pi / 2)) < tol
#derivative check
assert abs(x.der - math.cos(math.pi / 2)) < tol
def test_2():
'''
Testing sin(cos(x)) derivative and value
'''
x = AD.AADVariable((math.pi))
x = AD.sin(AD.cos(x))
#value check
assert abs(x.val - math.sin(math.cos(math.pi))) < tol
#derivative check
assert abs(x.der -
(-math.cos(math.cos(math.pi)) * math.sin(math.pi))) < tol