function [ n_data, nu, x, fx ] = bessel_jn_values ( n_data ) %*****************************************************************************80 % %% BESSEL_JN_VALUES returns some values of the Jn Bessel function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % BesselJ[n,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 29 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, integer NU, the order of the function. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 20; fx_vec = [ ... 0.1149034849319005E+00, ... 0.3528340286156377E+00, ... 0.4656511627775222E-01, ... 0.2546303136851206E+00, ... -0.5971280079425882E-01, ... 0.2497577302112344E-03, ... 0.7039629755871685E-02, ... 0.2611405461201701E+00, ... -0.2340615281867936E+00, ... -0.8140024769656964E-01, ... 0.2630615123687453E-09, ... 0.2515386282716737E-06, ... 0.1467802647310474E-02, ... 0.2074861066333589E+00, ... -0.1138478491494694E+00, ... 0.3873503008524658E-24, ... 0.3918972805090754E-18, ... 0.2770330052128942E-10, ... 0.1151336924781340E-04, ... -0.1167043527595797E+00 ]; nu_vec = [ ... 2, 2, 2, 2, ... 2, 5, 5, 5, ... 5, 5, 10, 10, ... 10, 10, 10, 20, ... 20, 20, 20, 20 ]; x_vec = [ ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; nu = 0; x = 0.0; fx = 0.0; else nu = nu_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end