function [ n_data, x, fx ] = bessel_j0_values ( n_data ) %*****************************************************************************80 % %% BESSEL_J0_VALUES returns some values of the J0 Bessel function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % BesselJ[0,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 15 September 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 = [ ... -0.1775967713143383E+00, ... -0.3971498098638474E+00, ... -0.2600519549019334E+00, ... 0.2238907791412357E+00, ... 0.7651976865579666E+00, ... 0.1000000000000000E+01, ... 0.7651976865579666E+00, ... 0.2238907791412357E+00, ... -0.2600519549019334E+00, ... -0.3971498098638474E+00, ... -0.1775967713143383E+00, ... 0.1506452572509969E+00, ... 0.3000792705195556E+00, ... 0.1716508071375539E+00, ... -0.9033361118287613E-01, ... -0.2459357644513483E+00, ... -0.1711903004071961E+00, ... 0.4768931079683354E-01, ... 0.2069261023770678E+00, ... 0.1710734761104587E+00, ... -0.1422447282678077E-01 ]; x_vec = [ ... -5.0E+00, ... -4.0E+00, ... -3.0E+00, ... -2.0E+00, ... -1.0E+00, ... 0.0E+00, ... 1.0E+00, ... 2.0E+00, ... 3.0E+00, ... 4.0E+00, ... 5.0E+00, ... 6.0E+00, ... 7.0E+00, ... 8.0E+00, ... 9.0E+00, ... 10.0E+00, ... 11.0E+00, ... 12.0E+00, ... 13.0E+00, ... 14.0E+00, ... 15.0E+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