def test_log_numeric_value():
    assert np.isclose(ef.log(4), np.log(4))
def test_log_numeric_input_no_deriv():
    with pytest.raises(AttributeError):
        assert ef.log(30).der
def test_log_illegal_arg():
    with pytest.raises(AttributeError):
        assert ef.log("thirty")
def test_log_no_sec_derivative_xy():
    x = AutoDiff(4, "x")
    y = AutoDiff(5, "y")
    with pytest.raises(AttributeError):
        assert ef.log(x * x * y * y).der2['x']
def test_log_no_sec_derivative_():
    x = AutoDiff(4, "x")
    with pytest.raises(AttributeError):
        assert ef.log(x).der2['x']
def test_log_deriv2_xy():
    x = AutoDiff(4, "x", H=True)
    y = AutoDiff(5, "y", H=True)
    f = ef.log(x * x * y * y)
    assert np.isclose(f.der2['xy'], 0)
def test_log_deriv_y():
    x = AutoDiff(4, "x")
    y = AutoDiff(5, "y")
    f = ef.log(x * x * y * y)
    assert np.isclose(f.der['y'], 0.4)
def test_log_val():
    x = AutoDiff(4, "x")
    y = AutoDiff(5, "y")
    f = ef.log(x * x * y * y)
    assert np.isclose(f.val, 5.991464547107982)