def test_arctan_numeric_value(): assert np.isclose(ef.arctan(4), np.arctan(4))
def test_arctan_numeric_input_no_deriv(): with pytest.raises(AttributeError): assert ef.arctan(30).der
def test_arctan_illegal_arg(): with pytest.raises(AttributeError): assert ef.arctan("thirty")
def test_arctan_deriv2_xy(): x = AutoDiff(0.5, "x", H=True) y = AutoDiff(0.6, "y", H=True) f = ef.arctan(x * x * y * y) assert np.isclose(f.der2['xy'], 1.1712292419301682)
def test_arctan_no_sec_derivative_xy(): x = AutoDiff(4, "x") y = AutoDiff(5, "y") with pytest.raises(AttributeError): assert ef.arctan(x * x * y * y).der2['x']
def test_arctan_deriv2_y(): x = AutoDiff(0.5, "x", H=True) y = AutoDiff(0.6, "y", H=True) f = ef.arctan(x * x * y * y) assert np.isclose(f.der2['y'], 0.480041826860598)
def test_arctan_deriv2_x(): x = AutoDiff(0.5, "x", H=True) y = AutoDiff(0.6, "y", H=True) f = ef.arctan(x * x * y * y) assert np.isclose(f.der2['x'], 0.6912602306792611)
def test_arctan_deriv_y(): x = AutoDiff(0.5, "x") y = AutoDiff(0.6, "y") f = ef.arctan(x * x * y * y) assert np.isclose(f.der['y'], 0.2975895248487253)
def test_arctan_deriv_x(): x = AutoDiff(0.5, "x") y = AutoDiff(0.6, "y") f = ef.arctan(x * x * y * y) assert np.isclose(f.der['x'], 0.3571074298184704)
def test_arctan_val(): x = AutoDiff(0.5, "x") y = AutoDiff(0.6, "y") f = ef.arctan(x * x * y * y) assert np.isclose(f.val, 0.08975817418995052)