def test_zero_pow_zero():
x = ad.DualNumber('x',0)
y = ad.DualNumber('y',0)
out = x**y
assert out.value == 0**0
assert math.isnan(out.derivatives['x'])
assert out.derivatives['y']== -float("inf")
def test_branch():
def my_fun(x):
if x<10:
return x
else:
return x**2
x = ad.DualNumber('x',10)
with pytest.warns(UserWarning):
my_fun(x)
x2 = ad.DualNumber('x',20)
my_fun(x2)
def test_array():
will = [[ad.DualNumber('x', x) for x in range(5)],
[ad.DualNumber('y', 2 * x) for x in range(5)]]
dave = ad.array(will)
assert np.all(
dave.value == np.array([[x
for x in range(5)], [2 * x
for x in range(5)]]))
assert np.all(dave.derivatives['x'] == np.array([[1 for x in range(5)],
[0 for x in range(5)]]))
assert np.all(dave.derivatives['y'] == np.array([[0 for x in range(5)],
[1 for x in range(5)]]))
def test_vert_tan():
x = ad.DualNumber('x',0)
output = x**(1/3)
assert output.value == 0
assert output.derivatives['x'] == float("inf")
assert output.derivatives['x'] > 0
def test_dual_value():
z = ad.DualNumber('z',10)
with pytest.raises(TypeError):
ad.DualNumber('x',z)
def test_bad_arr():
with pytest.raises(TypeError):
ad.DualNumber(7,np.array([10,12]))
def test_bad_name_n():
with pytest.raises(TypeError):
ad.DualNumber(7,20)
def test_bad_value():
with pytest.raises(TypeError):
ad.DualNumber('x',"yes")
def test_missing_name_arr():
with pytest.raises(TypeError):
ad.DualNumber(value=np.array([10,12]))
def y():
y = ad.DualNumber('y',3.5)
return y
def test_creation_arr():
x = ad.DualNumber('x',np.array([10,12]))
assert np.all(x.value == np.array([10,12]))
assert np.all(x.derivatives['x[0]'] == np.array([1,0]))
assert np.all(x.derivatives['x[1]'] == np.array([0,1]))
def test_n_by_zero():
x = ad.DualNumber('x',0)
with pytest.raises(ZeroDivisionError):
5/x
def test_oscilating():
x = ad.DualNumber('x',0.001)
output = ad.sin(1/x)
assert output.value == math.sin(1/0.001)
assert output.derivatives['x'] == math.cos(1/.001)*(-1/(.001**2))
def x():
return ad.DualNumber('x',2)
def test_creation_num():
x = ad.DualNumber('x',10)
assert x.value == 10
assert x.derivatives == {'x':1}
def test_undefined_value():
x = ad.DualNumber('x',0)
with pytest.raises(ZeroDivisionError):
1/x
def test_missing_name_n():
with pytest.raises(TypeError):
ad.DualNumber('x')
