def test_arccos():
x = ad.Node(0.5, 0.5)
x = ad.arccos(x)
assert np.isclose(x.val, np.arccos(0.5))
assert np.isclose(x.der, (-1 / np.sqrt(0.75)) * 0.5)
x = ad.Node_b(0.5)
x = ad.arccos(x)
assert np.isclose(x.val, np.arccos(0.5))
x = ad.arccos(1)
assert np.isclose(x, np.arccos(1))
with pytest.raises(ValueError):
ad.arccos("1")
x = ad.Node(2, 0.5)
with pytest.raises(ValueError):
ad.arccos(x)
x = ad.Node_b(2)
with pytest.raises(ValueError):
ad.arccos(x)
def test_log():
x = ad.Node(2, 2)
x = ad.log(x)
assert np.isclose(x.val, np.log(2))
assert np.isclose(x.der, 1)
x = ad.Node_b(1.0)
x = ad.log(x)
assert np.isclose(x.val, 0)
x = ad.log(1)
assert np.isclose(x, 0)
with pytest.raises(ValueError):
ad.log("1")
def test_exp():
x = ad.Node(0, 2)
x = ad.exp(x)
assert np.isclose(x.val, 1)
assert np.isclose(x.der, 2)
x = ad.Node_b(0)
x = ad.exp(x)
assert np.isclose(x.val, 1)
x = ad.exp(0)
assert np.isclose(x, 1)
with pytest.raises(ValueError):
ad.exp("1")
def test_sin():
x = ad.Node(1.0)
x = ad.sin(x)
assert np.isclose(x.val, np.sin(1))
assert np.isclose(x.der, np.cos(1))
x = ad.Node_b(1.0)
x = ad.sin(x)
assert np.isclose(x.val, np.sin(1))
x = ad.sin(np.pi)
assert np.isclose(x, np.sin(np.pi))
with pytest.raises(ValueError):
ad.sin("1")
def test_tan():
x = ad.Node(1.0, 2)
x = ad.tan(x)
assert np.isclose(x.val, np.tan(1))
assert np.isclose(x.der, 2 * 1 / (np.cos(1)**2))
x = ad.Node_b(1.0)
x = ad.tan(x)
assert np.isclose(x.val, np.tan(1))
x = ad.tan(np.pi)
assert np.isclose(x, np.tan(np.pi))
with pytest.raises(ValueError):
ad.tan("1")
def test_logistic():
x = ad.Node(2)
x = ad.logistic(x)
assert np.isclose(x.val, np.exp(2) / (np.exp(2) + 1))
assert np.isclose(x.der, np.exp(-2) / ((1 + np.exp(-2))**2))
x = ad.Node_b(2)
x = ad.logistic(x)
assert np.isclose(x.val, np.exp(2) / (np.exp(2) + 1))
x = ad.logistic(2)
assert np.isclose(x, np.exp(2) / (np.exp(2) + 1))
with pytest.raises(ValueError):
ad.logistic("1")
def test_sqrt():
x = ad.Node(4)
x = ad.sqrt(x)
assert np.isclose(x.val, 2)
assert np.isclose(x.der, 0.25)
x = ad.Node_b(4)
x = ad.sqrt(x)
assert np.isclose(x.val, 2)
x = ad.sqrt(4)
assert np.isclose(x, np.sqrt(4))
with pytest.raises(ValueError):
ad.sqrt("1")
def test_tanh():
x = ad.Node(2)
x = ad.tanh(x)
assert np.isclose(x.val, np.tanh(2))
assert np.isclose(x.der, 1 / (np.cosh(2)**2))
x = ad.Node_b(2)
x = ad.tanh(x)
assert np.isclose(x.val, np.tanh(2))
x = ad.tanh(2)
assert np.isclose(x, np.tanh(2))
with pytest.raises(ValueError):
ad.tanh("1")
def test_power():
x = ad.Node(2.0, 2.0)
a = ad.power(3, x)
assert (np.isclose(a.val, 9))
assert (np.isclose(a.der, 3**2 * np.log(3) * x.der))
x = ad.Node_b(2.0)
a = ad.power(3, x)
assert (np.isclose(a.val, 9))
a = ad.power(2, 5)
assert (np.isclose(a, 2**5))
with pytest.raises(ValueError):
ad.power(x, 2)
with pytest.raises(ValueError):
ad.power(2, "1")
def test_arctan():
x = ad.Node(2)
x = ad.arctan(x)
assert np.isclose(x.val, np.arctan(2))
assert np.isclose(x.der, 0.2)
x = ad.Node_b(2)
x = ad.arctan(x)
assert np.isclose(x.val, np.arctan(2))
x = ad.arctan(2)
assert np.isclose(x, np.arctan(2))
with pytest.raises(ValueError):
ad.arctan("1")
def test_logb():
x = ad.Node(2.0, 2.0)
a = ad.logb(np.exp(1), x)
b = ad.log(x)
assert (np.isclose(a.val, b.val) & np.isclose(a.der, b.der))
x = ad.Node(8.0, 2.0)
a = ad.logb(2, x)
assert (np.isclose(a.val, 3))
assert (np.isclose(a.der, 0.360674))
x = ad.Node_b(8.0, )
a = ad.logb(2, x)
assert (np.isclose(a.val, 3))
a = ad.logb(3, 27)
assert (np.isclose(a, 3))
with pytest.raises(ValueError):
ad.logb(x, 2)
with pytest.raises(ValueError):
ad.logb(2, "1")