def test_string_values():
with pytest.raises(TypeError):
AutoDiff("a", 2)
with pytest.raises(TypeError):
AutoDiff(2, "a")
with pytest.raises(TypeError):
AutoDiff([2, "a"], 3)
with pytest.raises(TypeError):
AutoDiff(2, ["a", 3])
def test_divide_objects():
AD1 = AutoDiff(15, 45)
AD2 = AutoDiff(30, 90)
AD3 = AD1 / AD2
assert AD3.val == 0.5
assert AD3.der == (45 * 30 - 15 * 90) / (30**2)
AD4 = AD2.__rtruediv__(AD1)
assert AD4.val == 0.5
assert AD4.der == (45 * 30 - 15 * 90) / (30**2)
def test_subtract_objects():
AD1 = AutoDiff(5, 10)
AD2 = AutoDiff(3, 4)
AD3 = AD1 - AD2
assert AD3.val == 2
assert AD3.der == 6
AD4 = AD2 - AD1
assert AD4.val == -2
assert AD4.der == -6
def test_gt():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff(3, 3)
assert AD1.__gt__(2) == False
assert AD1.__gt__(0) == True
assert AD1.__gt__(AD2) == False
assert AD2.__gt__(AD1) == True
def test_le():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff(3, 3)
assert AD1.__le__(2) == True
assert AD1.__le__(4) == True
assert AD1.__le__(AD2) == True
assert AD2.__le__(AD1) == False
def test_ne():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff(3, 3)
AD3 = AutoDiff(2, -4)
assert AD1.__ne__(AD2) == True
assert AD1.__ne__(AD3) == False
assert AD1.__ne__(2) == False
assert AD1.__ne__(3) == True
def test_subtract_constant():
AD1 = AutoDiff(5, 10)
AD2 = AD1 - 3
assert AD2.val == 2
assert AD2.der == 10
def test_vector_values2():
AD1 = AutoDiff(2, [3, 5])
AD2 = AD1 + 2
assert AD2.val == 4
assert all(AD2.der == [3, 5])
def test_vector_values3():
AD1 = AutoDiff(2, [3, 5])
AD2 = AutoDiff.cos(AD1)
assert AD2.val == np.cos(2)
assert all(AD2.der == [-3 * np.sin(2), -5 * np.sin(2)])
def test_tanh():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.tanh(AD1)
assert AD2.val == np.tanh(2)
assert AD2.der == 3 * 1 / (np.cosh(2)**2)
def test_vector_values1():
AD1 = AutoDiff(2, [3, 5])
AD2 = 2 * AD1
assert AD2.val == 4
assert all(AD2.der == [6, 10])
def test_cosh():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.cosh(AD1)
assert AD2.val == np.cosh(2)
assert AD2.der == 3 * np.sinh(2)
def test_log():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.log(AD1, 5)
assert AD2.val == np.log(2) / np.log(5)
assert AD2.der == (1 / (2 * np.log(5))) * 3
def test_rsub():
AD1 = AutoDiff(5, 10)
AD2 = 8 - AD1
assert AD2.val == 3
assert AD2.der == -10
def test_multiple_constant():
AD1 = AutoDiff(5, 15)
AD2 = AD1 * 2
assert AD2.val == 10
assert AD2.der == 30
def test_str():
AD1 = AutoDiff(2, 3)
assert AutoDiff.__str__(AD1) == "AutoDiff(2,3)"
def test_repr():
AD1 = AutoDiff(2, 3)
assert AutoDiff.__repr__(AD1) == "AutoDiff(2,3)"
def test_sqrt():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.sqrt(AD1)
assert AD2.val == 2**(1 / 2)
assert AD2.der == 3 * (1 / 2) * (2**(-1 / 2))
def test_logistic():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.logistic(AD1)
assert AD2.val == 1 / (1 + np.exp(-2))
assert AD2.der == 3 * np.exp(-2) / (1 + np.exp(-2))**2
def test_radd():
AD1 = AutoDiff(1, 2)
AD2 = 4 + AD1
assert AD2.val == 5
assert AD2.der == 2
def test_expm():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.expm(AD1, 10)
assert AD2.val == 10**2
assert AD2.der == 3 * (10**2) * np.log(10)
def test_exp():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.exp(AD1)
assert AD2.val == np.exp(2)
assert AD2.der == 3 * np.exp(2)
def test_multiply_objects():
AD1 = AutoDiff(5, 15)
AD2 = AutoDiff(2, 3)
AD3 = AD1 * AD2
assert AD3.val == 10
assert AD3.der == 45
def test_divide_constant():
AD1 = AutoDiff(15, 45)
AD3 = AD1 / 3
assert AD3.val == 5
assert AD3.der == (1 / 3) * (45)
def test_rmul():
AD1 = AutoDiff(5, 15)
AD2 = 2 * AD1
assert AD2.val == 10
assert AD2.der == 30
def test_arctangent():
AD1 = AutoDiff(0.5, 3)
AD2 = AutoDiff.arctangent(AD1)
assert AD2.val == np.arctan(0.5)
assert AD2.der == 3 / (0.5**2 + 1)
def test_add_objects():
AD1 = AutoDiff(1, 2)
AD2 = AutoDiff(3, 4)
AD3 = AD1 + AD2
assert AD3.val == 4
assert AD3.der == 6
def test_ln():
AD1 = AutoDiff(2, 3)
AD2 = AutoDiff.ln(AD1)
assert AD2.val == np.log(2)
assert AD2.der == (1 / 2) * 3
def test_rtruediv():
AD1 = AutoDiff(3, 5)
AD3 = 15 / AD1
assert AD3.val == 5
assert AD3.der == (-15 * 5) / (3**2)
def test_arccosine():
AD1 = AutoDiff(0.5, 3)
AD2 = AutoDiff.arccosine(AD1)
assert AD2.val == np.arccos(0.5)
assert AD2.der == -3 / ((1 - 0.5**2)**(1 / 2))