import numpy as np import openmc def test_zernike_radial(): coeff = np.asarray([1.3, -3.0, 9e-1, -6e-1, 0.11]) zn_rad = openmc.ZernikeRadial(coeff) assert zn_rad.order == 8 assert zn_rad.radius == 1 coeff = np.asarray([1.3, -3.0, 9e-1, -6e-1, 0.11, 0.222]) zn_rad = openmc.ZernikeRadial(coeff, 0.392) assert zn_rad.order == 10 assert zn_rad.radius == 0.392 norm_vec = (2 * np.arange(6) + 1) / (np.pi * 0.392 ** 2) norm_coeff = norm_vec * coeff rho = 0.5 # Reference solution from running the Fortran implementation raw_zn = np.array([ 1.00000000e+00, -5.00000000e-01, -1.25000000e-01, 4.37500000e-01, -2.89062500e-01, -8.98437500e-02]) ref_vals = np.sum(norm_coeff * raw_zn) test_vals = zn_rad(rho * zn_rad.radius) assert ref_vals == test_vals rho = [0.2, 0.5] # Reference solution from running the Fortran implementation raw_zn1 = np.array([ 1.00000000e+00, -9.20000000e-01, 7.69600000e-01, -5.66720000e-01, 3.35219200e-01, -1.01747000e-01]) raw_zn2 = np.array([ 1.00000000e+00, -5.00000000e-01, -1.25000000e-01, 4.37500000e-01, -2.89062500e-01, -8.98437500e-02]) ref_vals = [np.sum(norm_coeff * raw_zn1), np.sum(norm_coeff * raw_zn2)] test_vals = zn_rad([i * zn_rad.radius for i in rho]) assert np.allclose(ref_vals, test_vals) def test_zernike(): import openmc.lib as lib coeff = np.asarray([1.1e-1, -3.2e2, 5.3, 7.4, -9.5, 0.005]) zn_azimuthal = openmc.Zernike(coeff) assert zn_azimuthal.order == 2 assert zn_azimuthal.radius == 1 coeff = np.asarray([1.5, -3.6, 9.7e-1, -6.8e-1, 0.11, 0.33e2, 0.002, 13.75, 3.1, -7.3, 7.8e-1, -1.1e-1, 2.56, 5.25e3, 0.123]) zn_azimuthal = openmc.Zernike(coeff, 0.392) assert zn_azimuthal.order == 4 assert zn_azimuthal.radius == 0.392 norm_vec = np.array([1, 4, 4, 6, 3, 6, 8, 8, 8, 8, 10, 10, 5, 10, 10]) / (np.pi * 0.392 ** 2) norm_coeff = norm_vec * coeff rho = 0.5 theta = np.radians(45) # Reference solution from running the C API for calc_zn raw_zn = lib.calc_zn(zn_azimuthal.order, rho, theta) ref_vals = np.sum(norm_coeff * raw_zn) test_vals = zn_azimuthal(rho * zn_azimuthal.radius, theta) assert ref_vals == test_vals rho = [0.2, 0.5] theta = np.radians(30) #Reference solution from running the C API for calc_zn raw_zn1 = lib.calc_zn(zn_azimuthal.order, rho[0], theta) raw_zn2 = lib.calc_zn(zn_azimuthal.order, rho[1], theta) ref_vals = [np.sum(norm_coeff * raw_zn1), np.sum(norm_coeff * raw_zn2)] test_vals = zn_azimuthal([i * zn_azimuthal.radius for i in rho], theta) assert np.allclose(ref_vals, test_vals) rho = 0.2 theta = np.radians([30, 60]) #Reference solution from running the C API for calc_zn raw_zn1 = lib.calc_zn(zn_azimuthal.order, rho, theta[0]) raw_zn2 = lib.calc_zn(zn_azimuthal.order, rho, theta[1]) ref_vals = [np.sum(norm_coeff * raw_zn1), np.sum(norm_coeff * raw_zn2)] test_vals = zn_azimuthal(rho * zn_azimuthal.radius, [j for j in theta]) assert np.allclose(ref_vals, test_vals) rho = [0.2, 0.5] theta = np.radians([30, 60]) #Reference solution from running the C API for calc_zn raw_zn1 = lib.calc_zn(zn_azimuthal.order, rho[0], theta[0]) raw_zn2 = lib.calc_zn(zn_azimuthal.order, rho[1], theta[0]) raw_zn3 = lib.calc_zn(zn_azimuthal.order, rho[0], theta[1]) raw_zn4 = lib.calc_zn(zn_azimuthal.order, rho[1], theta[1]) ref_vals = [np.sum(norm_coeff * raw_zn1), np.sum(norm_coeff * raw_zn2), np.sum(norm_coeff * raw_zn3), np.sum(norm_coeff * raw_zn4)] test_vals = zn_azimuthal([i * zn_azimuthal.radius for i in rho], [j for j in theta]) test_vals = np.ravel(test_vals) assert np.allclose(ref_vals, test_vals)