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')
def test_arctan():
x = CMG(3)
f = CMfunc.arctan(x)
assert f.val == np.arctan(3)
assert np.array_equal(f.grad, np.array([(1 + 3**2)**(-2)]))