def test_tan_ad_results(): # Defined value and derivative when cos(val)!=0 # Positive reals x = AutoDiff(0.5, 2.0) f = ef.tan(x) assert f.val == np.array([[np.tan(0.5)]]) assert f.der == np.array([[2.0 / (np.cos(0.5)**2)]]) assert f.jacobian == np.array([[1.0 / (np.cos(0.5)**2)]]) # Negative reals y = AutoDiff(-0.5, 2.0) f = ef.tan(y) assert f.val == np.array([[np.tan(-0.5)]]) assert f.der == np.array([[2.0 / (np.cos(-0.5)**2)]]) assert f.jacobian == np.array([[1.0 / (np.cos(-0.5)**2)]]) # Zero z = AutoDiff(0.0, 2.0) f = ef.tan(z) assert f.val == np.array([[np.tan(0)]]) assert f.der == np.array([[2.0]]) assert f.jacobian == np.array([[1.0]]) # Undefined value and derivative when cos(val)==0 with pytest.warns(RuntimeWarning): h = AutoDiff(np.pi/2, 1.0) f = ef.tan(h) assert np.isnan(f.val) assert np.isnan(f.der) assert np.isnan(f.jacobian)
def test_tan_ad_results():
# Defined Realue and Dualivative when cos(Real)!=0
# Positive reals
x = Dual(0.5, 2.0)
f = ef.tan(x)
assert f.Real == np.array([[np.tan(0.5)]])
assert f.Dual == np.array([[2.0 / (np.cos(0.5)**2)]])
# Negative reals
y = Dual(-0.5, 2.0)
f = ef.tan(y)
assert f.Real == np.array([[np.tan(-0.5)]])
assert f.Dual == np.array([[2.0 / (np.cos(-0.5)**2)]])
# Zero
z = Dual(0.0, 2.0)
f = ef.tan(z)
assert f.Real == np.array([[np.tan(0)]])
assert f.Dual == np.array([[2.0]])
# Undefined Value and Derivative when cos(Real)==0
with pytest.warns(RuntimeWarning):
h = Dual(np.pi / 2, 1.0)
f = ef.tan(h)
print("HERE", f.Real)
assert np.isnan(f.Real)
assert np.isnan(f.Dual)
def test_tan_constant_results(): a = ef.tan(5) assert a == np.tan(5) b = ef.tan(-5) assert b == np.tan(-5) c = ef.tan(0) assert c == np.tan(0) # Value undefined when cos(val)==0 with pytest.warns(RuntimeWarning): d = ef.tan(np.pi/2) assert np.isnan(d)
def test_tan_types():
with pytest.raises(TypeError):
ef.tan('x')
with pytest.raises(TypeError):
ef.tan("1234")