def test_sqrt_numeric_value():
assert np.isclose(ef.sqrt(4), np.sqrt(4))
def test_sqrt_numeric_input_no_deriv():
with pytest.raises(AttributeError):
assert ef.sqrt(30).der
def test_sqrt_illegal_arg2():
with pytest.raises(AttributeError):
assert ef.sqrt(" ")
def test_sqrt_no_sec_derivative_xy():
x = AutoDiff(4, "x")
y = AutoDiff(5, "y")
with pytest.raises(AttributeError):
assert ef.sqrt(x * x * y * y).der2['x']
def test_sqrt_no_sec_derivative():
x = AutoDiff(4, "x")
with pytest.raises(AttributeError):
assert ef.sqrt(x).der2['x']
def test_sqrt_deriv2_xy():
x = AutoDiff(1.5, "x", H=True)
y = AutoDiff(2.5, "y", H=True)
f = ef.sqrt(x * x * y * y)
assert np.isclose(f.der2['xy'], 1.0)
def test_sqrt_deriv_y():
x = AutoDiff(1.5, "x")
y = AutoDiff(2.5, "y")
f = ef.sqrt(x * x * y * y)
assert np.isclose(f.der['y'], 1.5)
def test_sqrt_val():
x = AutoDiff(1.5, "x")
y = AutoDiff(2.5, "y")
f = ef.sqrt(x * x * y * y)
assert np.isclose(f.val, 3.75)
