def test_difficult_derivative_case():
x1 = CMG(1.0)
# ## the following is a test case for: sin(tan(x)) + 2^(cos(x)) + sin(x)^tan(x)^exp(x) - (cos(x))^2, seeded at x = 1. Try it in autograd, it works.
test_func1 = CMfunc.sin(CMfunc.tan(x1)) + 2**(CMfunc.cos(x1)) + CMfunc.sin(
x1)**CMfunc.tan(x1)**CMfunc.exp(x1) - CMfunc.cos(x1)**2
print("test_func1 val, der: {}, {}".format(test_func1.val,
test_func1.grad))
assert (np.round(test_func1.val,
8), np.round(test_func1.grad,
8)) == (np.round(2.7246781638986564, 8),
np.round(-1.0139897786023675, 8))
print("Difficult derivative test passed.")
def test_CMfunc_constant():
assert CMfunc.sin(2) == np.sin(2)
assert CMfunc.cos(5) == np.cos(5)
assert CMfunc.tan(9) == np.tan(9)
assert CMfunc.arcsin(.5) == np.arcsin(.5)
assert CMfunc.arccos(.4) == np.arccos(.4)
assert CMfunc.arctan(.1) == np.arctan(.1)
assert CMfunc.exp(3) == np.exp(3)
assert CMfunc.log(
74088, 42) == np.log(74088) / np.log(42) #using alternative base
print('passed constants test')