def test_hadamard_2():
"""Test for Hadamard function when n = 2."""
res = hadamard(2)
expected_res = (1 / 2 * np.array([[1, 1, 1, 1], [1, -1, 1, -1],
[1, 1, -1, -1], [1, -1, -1, 1]]))
bool_mat = np.isclose(res, expected_res)
np.testing.assert_equal(np.all(bool_mat), True)
def test_hadamard_3():
"""Test for Hadamard function when n = 3."""
res = hadamard(3)
expected_res = (1 / (2**(3 / 2)) * np.array([
[1, 1, 1, 1, 1, 1, 1, 1],
[1, -1, 1, -1, 1, -1, 1, -1],
[1, 1, -1, -1, 1, 1, -1, -1],
[1, -1, -1, 1, 1, -1, -1, 1],
[1, 1, 1, 1, -1, -1, -1, -1],
[1, -1, 1, -1, -1, 1, -1, 1],
[1, 1, -1, -1, -1, -1, 1, 1],
[1, -1, -1, 1, -1, 1, 1, -1],
]))
bool_mat = np.isclose(res, expected_res)
np.testing.assert_equal(np.all(bool_mat), True)
def test_hadamard_0():
"""Test for Hadamard function when n = 0."""
res = hadamard(0)
expected_res = np.array([[1]])
bool_mat = np.isclose(res, expected_res)
np.testing.assert_equal(np.all(bool_mat), True)
def test_hadamard_4():
"""Test for Hadamard function when n = 4."""
res = hadamard(4)
bool_mat = np.isclose(res.shape, (16, 16))
np.testing.assert_equal(np.all(bool_mat), True)
def test_hadamard_1():
"""Test for Hadamard function when n = 1."""
res = hadamard(1)
expected_res = 1 / np.sqrt(2) * np.array([[1, 1], [1, -1]])
bool_mat = np.isclose(res, expected_res)
np.testing.assert_equal(np.all(bool_mat), True)
def test_hadamard_negative():
"""Input must be non-negative."""
with np.testing.assert_raises(ValueError):
hadamard(-1)