function [ n_data, x, fx ] = bessel_i0_spherical_values ( n_data ) %% BESSEL_I0_SPHERICAL_VALUES returns some values of the Spherical Bessel function i0. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Sqrt[Pi/(2*x)] * BesselI[1/2,x] % % Modified: % % 06 January 2007 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % LC: QA47.A34, % ISBN: 0-486-61272-4. % % 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 = [ ... 1.001667500198440E+00, ... 1.006680012705470E+00, ... 1.026880814507039E+00, ... 1.061089303580402E+00, ... 1.110132477734529E+00, ... 1.175201193643801E+00, ... 1.257884462843477E+00, ... 1.360215358179667E+00, ... 1.484729970750144E+00, ... 1.634541271164267E+00, ... 1.813430203923509E+00, ... 2.025956895698133E+00, ... 2.277595505698373E+00, ... 2.574897010920645E+00, ... 2.925685126512827E+00, ... 3.339291642469967E+00, ... 3.826838748926716E+00, ... 4.401577467270101E+00, ... 5.079293155726485E+00, ... 5.878791279137455E+00, ... 6.822479299281938E+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