def test_cosh4():
# AD object with .val=[1,2]
x1 = AD(val=[1, 2], index=0, magnitude=2)
# AD object with .val=[2,3]
x2 = AD(val=[2, 3], index=1, magnitude=2)
y = ef.cosh(x1 + x2)
assert y.val == pytest.approx(np.cosh([3, 5]))
assert y.der[0] == pytest.approx(np.sinh([3, 5]) * 1)
assert y.der[1] == pytest.approx(np.sinh([3, 5]) * 1)
def test_cosh1():
# default AD object with .val=[0.0]
x = AD()
y = ef.cosh(x)
assert y.val == pytest.approx(np.cosh(0))
assert y.der == pytest.approx(np.sinh(0) * 1)
def test_cosh2():
# AD object with .val=[1,2]
x = AD(val=[1, 2], index=0, magnitude=1)
y = ef.cosh(x)
assert y.val == pytest.approx(np.cosh([1, 2]))
assert y.der[0] == pytest.approx(np.sinh([1, 2]) * 1)
def test_cosh0():
x = 1
assert ef.cosh(x) == pytest.approx(np.cosh(x))