def test_arccos_ad_results(): # positive real numbers x = AutoDiff(0.5, 2) f = ef.arccos(x) assert f.val == np.array([[np.arccos(0.5)]]) assert f.der == np.array([[-2/np.sqrt(1-0.5**2)]]) assert f.jacobian == np.array([[-1/np.sqrt(1-0.5**2)]]) # out of bounds - negative sqrt with pytest.warns(RuntimeWarning): y = AutoDiff(-2, 2) f = ef.arccos(y) assert np.isnan(f.val[0][0]) assert np.isnan(f.der[0][0]) assert np.isnan(f.jacobian[0][0]) # out of bounds - divide by 0 with pytest.warns(RuntimeWarning): y = AutoDiff(1, 2) f = ef.arccos(y) assert f.val == np.array([[np.arccos(1)]]) assert np.isneginf(f.der[0][0]) assert np.isneginf(f.jacobian[0][0]) # zero z = AutoDiff(0, 2) f = ef.arccos(z) assert f.val == np.array([[np.arccos(0)]]) assert f.der == np.array([[-2/np.sqrt(1-0**2)]]) assert f.jacobian == np.array([[-1/np.sqrt(1-0**2)]])
def test_arccos_ad_results():
# positive real numbers
x = Dual(0.5, 2)
f = ef.arccos(x)
assert f.Real == np.array([[np.arccos(0.5)]])
assert f.Dual == np.array([[-2 / np.sqrt(1 - 0.5**2)]])
# out of bounds - negative sqrt
with pytest.warns(RuntimeWarning):
y = Dual(-2, 2)
f = ef.arccos(y)
assert np.isnan(f.Real)
assert np.isnan(f.Dual)
# out of bounds - divide by 0
with pytest.warns(RuntimeWarning):
y = Dual(1, 2)
f = ef.arccos(y)
assert f.Real == np.array([[np.arccos(1)]])
assert np.isneginf(f.Dual)
# zero
z = Dual(0, 2)
f = ef.arccos(z)
assert f.Real == np.array([[np.arccos(0)]])
assert f.Dual == np.array([[-2 / np.sqrt(1 - 0**2)]])
def test_arccos_constant_results(): a = ef.arccos(0.7) assert a == np.arccos(0.7) b = ef.arccos(0) assert b == np.arccos(0) with pytest.warns(RuntimeWarning): c = ef.arccos(-5) assert np.isnan(c)
def test_arccos_types():
with pytest.raises(TypeError):
ef.arccos('x')
with pytest.raises(TypeError):
ef.arccos("1234")