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_autodiff_negation_secondDer():
a = AutoDiff(3, "a", H=True)
b = AutoDiff(1.5, "b", H=True)
f = a * a * b
assert -1 * f.der2['a'] == -3.0
def test_autodiff_mul_val():
a = AutoDiff(3, "a")
b = AutoDiff(2, "b")
f = (a * a) * (b * b)
assert f.val == 36
def test_autodiff_neq_ad_and_num2():
a = AutoDiff(4, "a")
b = "four"
assert a != b
def test_autodiff_negation_val():
a = AutoDiff(3, "a")
b = AutoDiff(1.5, "b")
f = a * b
assert -1 * f.val == -4.5
def test_autodiff_variable_name_args():
with pytest.raises(TypeError):
assert AutoDiff(6, 'xy', H=True)
def test_autodiff_eq():
a = AutoDiff(2, "a")
b = AutoDiff(4, "b")
assert ef.power(a, 2).val == b.val
def test_autodiff_mul_der2():
a = AutoDiff(3, "a", H=True)
b = AutoDiff(1.5, "b", H=True)
f = (a * a) * (b * b)
assert f.der2['a'] == (2 * b.val * b.val)
def test_autodiff_mul_illegal_arg():
a = AutoDiff(3, "a")
with pytest.raises(AttributeError):
assert "AutoDiff(4, 'b')" * a
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_cos_deriv_y():
x = AutoDiff(4, "x")
y = AutoDiff(5, "y")
f = ef.cos(x * y)
assert np.isclose(f.der['y'], -3.6517810029105107)
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_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_autodiff_sub_illegal_args():
a = AutoDiff(9, "a")
with pytest.raises(AttributeError):
assert "AutoDiff(11, 'b')" - a
def test_autodiff_div():
a = AutoDiff(2, "a")
b = AutoDiff(5, "b")
f = a / b
assert f.der['a'] == 1 / b.val
def test_autodiff_hessian_args():
with pytest.raises(TypeError):
assert AutoDiff(5, 'x', H=3)
def test_autodiff_div_zerodiv():
a = AutoDiff(3, "a")
b = AutoDiff(0, "b")
with pytest.raises(ZeroDivisionError):
assert a / b
def test_autodiff_variable_name_args_notAlpha_symbol():
with pytest.raises(TypeError):
assert AutoDiff(6, '&')
def test_autodiff_div_illegal_args():
a = AutoDiff(2, "a")
with pytest.raises(AttributeError):
assert a / "AutoDiff(2, 'b')"
def test_autodiff_neq_ad_and_num():
a = AutoDiff(4, "a")
b = 4
assert a != b
def test_autodiff_numeric_args():
with pytest.raises(TypeError):
assert AutoDiff(5, 3)
def test_autodiff_neq():
a = AutoDiff(2, "a")
b = AutoDiff(4, "b")
assert a.val != b.val
def test_autodiff_add():
a = AutoDiff(13, "a")
b = AutoDiff(22, "b")
f = a + b
assert f.der['b'] == 0
def test_autodiff_negation_firstDer():
a = AutoDiff(3, "a")
b = AutoDiff(1.5, "b")
f = a * b
assert -1 * f.der['a'] == -b.val
def test_autodiff_add_illegal_args():
a = AutoDiff(9, "a")
with pytest.raises(AttributeError):
assert a + "AutoDiff(5, 'b')"
def test_autodiff_string_args():
with pytest.raises(TypeError):
assert AutoDiff("two", "x")
def test_autodiff_add():
a = AutoDiff(10, "a")
b = AutoDiff(22, "b")
f = a - b
assert f.val == -12
def test_autodiff_mul_der1():
a = AutoDiff(3, "a")
b = AutoDiff(1.5, "b")
f = (a * a) * (b * b)
assert f.der['a'] == (2 * a.val * b.val**2)
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)