def repr_test():
'''
Tests __repr__ of AD object
'''
x = AD.AADVariable((math.pi))
x = 2**AD.exp(x)
repr(x)
def jacobian_test():
'''
Tests formation of jacobian
'''
x = AD.AADVariable((math.pi))
x = 2**AD.exp(x)
assert abs(x.jacobian() -
2**(math.exp(math.pi)) * math.exp(math.pi) * math.log(2)) < tol
def test_3():
'''
Testing exp(tan(x)) derivative and value
'''
x = AD.AADVariable((math.pi))
x = AD.exp(AD.tan(x))
#value check
assert abs(x.val - math.exp(math.tan(math.pi))) < tol
#derivative check
assert abs(x.der -
math.exp(math.tan(math.pi)) * 1 / math.cos(math.pi)**2) < tol
def test_10():
'''
Testing 2^exp(x) derivative and value
Testing alternative power symbol
'''
x = AD.AADVariable((math.pi))
x = 2**AD.exp(x)
#value check
assert abs(x.val - 2**math.exp(math.pi)) < tol
#derivative check
assert abs(x.der -
2**(math.exp(math.pi)) * math.exp(math.pi) * math.log(2)) < tol