function [ n_data, x, fx ] = bessel_j0_spherical_values ( n_data ) %*****************************************************************************80 % %% BESSEL_J0_SPHERICAL_VALUES returns some values of the Spherical Bessel function j0. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Sqrt[Pi/(2*x)] * BesselJ[1/2,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 23 August 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 21; fx_vec = [ ... 0.9983341664682815E+00, ... 0.9933466539753061E+00, ... 0.9735458557716262E+00, ... 0.9410707889917256E+00, ... 0.8966951136244035E+00, ... 0.8414709848078965E+00, ... 0.7766992383060220E+00, ... 0.7038926642774716E+00, ... 0.6247335019009407E+00, ... 0.5410264615989973E+00, ... 0.4546487134128408E+00, ... 0.3674983653725410E+00, ... 0.2814429918963129E+00, ... 0.1982697583928709E+00, ... 0.1196386250556803E+00, ... 0.4704000268662241E-01, ... -0.1824191982111872E-01, ... -0.7515914765495039E-01, ... -0.1229223453596812E+00, ... -0.1610152344586103E+00, ... -0.1892006238269821E+00 ]; x_vec = [ ... 0.1E+00, ... 0.2E+00, ... 0.4E+00, ... 0.6E+00, ... 0.8E+00, ... 1.0E+00, ... 1.2E+00, ... 1.4E+00, ... 1.6E+00, ... 1.8E+00, ... 2.0E+00, ... 2.2E+00, ... 2.4E+00, ... 2.6E+00, ... 2.8E+00, ... 3.0E+00, ... 3.2E+00, ... 3.4E+00, ... 3.6E+00, ... 3.8E+00, ... 4.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; x = 0.0; fx = 0.0; else x = x_vec(n_data); fx = fx_vec(n_data); end return end