def test_15min_symmetry_omega4():
x1 = np.array([
0.63, 0.66, 0.70, 0.73, 0.76, 0.73, 0.70, 0.67, 0.64, 0.62, 0.60, 0.58,
0.55, 0.54, 0.52, 0.50, 0.49, 0.65, 0.82, 0.98, 1.15, 1.08, 1.02, 0.96,
0.90, 0.92, 0.94, 0.96, 0.98, 0.99, 0.99, 1.00, 1.01, 1.04, 1.07, 1.10,
1.13, 1.16, 1.19, 1.22, 1.25, 1.32, 1.38, 1.45, 1.51, 1.57, 1.63, 1.69,
1.75, 1.79, 1.84, 1.89, 1.94, 1.94, 1.95, 1.96, 1.97, 2.01, 2.06, 2.10,
2.14, 2.09, 2.04, 1.99, 1.94, 1.92, 1.90, 1.88, 1.85, 1.81, 1.77, 1.73,
1.69, 1.65, 1.60, 1.56, 1.51, 1.51, 1.50, 1.50, 1.49, 1.48, 1.47, 1.46,
1.46, 1.42, 1.39, 1.36, 1.33, 1.30, 1.26, 1.22, 1.19, 1.18, 1.17, 1.16
])
x2 = np.array([
1.15, 1.46, 1.77, 2.08, 2.38, 2.67, 2.95, 3.24, 3.52, 2.80, 2.08, 1.36,
0.65, 0.60, 0.56, 0.52, 0.48, 0.50, 0.52, 0.55, 0.57, 0.69, 0.81, 0.93,
1.05, 0.97, 0.89, 0.82, 0.74, 0.82, 0.91, 0.99, 1.07, 1.09, 1.11, 1.12,
1.14, 1.18, 1.22, 1.27, 1.31, 1.28, 1.26, 1.23, 1.20, 1.25, 1.29, 1.34,
1.38, 1.39, 1.40, 1.40, 1.41, 1.38, 1.34, 1.31, 1.27, 1.53, 1.79, 2.06,
2.32, 2.31, 2.31, 2.31, 2.30, 1.91, 1.52, 1.12, 0.73, 0.59, 0.45, 0.31,
0.18, 0.53, 0.88, 1.23, 1.58, 1.41, 1.25, 1.08, 0.92, 0.94, 0.97, 0.99,
1.02, 0.98, 0.95, 0.92, 0.89, 0.79, 0.70, 0.60, 0.51, 0.50, 0.48, 0.47
])
omega = 4
assert pytest.approx(lpi_distance(x1, x2, omega=omega),
0.01) == lpi_distance(x2, x1, omega=omega)
def test_minimal_zero_omega1_nonzero_hand():
x1 = np.array([0., 1., 0., 0.])
x2 = np.array([0., 0., 0., 1.])
assert lpi_distance(x1, x2, omega=1) == math.sqrt(2)
def test_minimal_zero_omega1_hand():
x1 = np.array([2., 3., 2., 2.])
x2 = np.array([1., 1., 1., 4.])
assert lpi_distance(x1, x2, omega=1) == math.sqrt(10)
def test_minimal_zero_omega2():
x1 = np.array([0., 1., 0., 0.])
x2 = np.array([0., 0., 0., 1.])
assert lpi_distance(x1, x2, omega=2) == 0