def test_broadcasting():
x = np.array([[0, 2, 3], [6, 5, 4]])
p = np.array([[1], [2]])
nrm = vnorm(x, p)
assert_allclose(nrm, [[5, 15], [np.sqrt(13), np.sqrt(77)]])
nrm0 = vnorm(x, p, axis=0)
assert_allclose(nrm0, [[6, 7, 7], [6, np.sqrt(29), 5]])
def test_axis_z(dtype):
z = np.array([[2j, 3 + 4j, -0j, 14], [0j, 1 - 2j, -3j, 2 - 2j]],
dtype=dtype)
nrm = vnorm(z, 2, axis=0)
assert_allclose(nrm, [2, np.sqrt(30), 3, np.sqrt(204)])
def test_axis_a(dtype):
a = np.array([[1, 0, 3], [0, 2, 4]], dtype=dtype)
nrm = vnorm(a, 2, axis=0)
assert_allclose(nrm, [1, 2, 5])
def test_order_inf():
x = np.array([-4, 2, -3.5, 0, 1])
nrm = vnorm(x, np.inf)
assert_array_equal(nrm, 4.0)
def test_big_complex(order, expected):
z = np.array(
[3e200 + 4e200j, 4e200 - 3e200j, -3e200 + 4e200j, -4e200 - 3e200j])
nrm = vnorm(z, order)
assert_allclose(nrm, expected)
def test_all_zeros():
x = np.zeros(10)
nrm = vnorm(x, 2)
assert_array_equal(nrm, 0.0)
def test_big_values_order3():
x = np.full(8, fill_value=1e125)
nrm = vnorm(x, 3)
assert_allclose(nrm, 2e125, rtol=1e-13)
def test_big_values_order2():
x = np.array([3e200, 4e200])
nrm = vnorm(x, 2)
assert_allclose(nrm, 5e200, rtol=1e-13)
def test_basic(x, order, nrm):
result = vnorm(x, order)
assert_allclose(result, nrm, rtol=1e-13)
def test_empty(order, dtype):
x = np.array([], dtype=dtype)
assert vnorm(x, order) == 0.0
def test_all_zeros_complex():
z = np.zeros(10, dtype=np.complex128)
nrm = vnorm(z, 2)
assert_array_equal(nrm, 0.0)