function [ n_data, x, fx ] = bessel_j1_values ( n_data ) %% BESSEL_J1_VALUES returns some values of the J1 Bessel function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % BesselJ[1,x] % % Modified: % % 12 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 = [ ... 0.3275791375914652E+00, ... 0.6604332802354914E-01, ... -0.3390589585259365E+00, ... -0.5767248077568734E+00, ... -0.4400505857449335E+00, ... 0.0000000000000000E+00, ... 0.4400505857449335E+00, ... 0.5767248077568734E+00, ... 0.3390589585259365E+00, ... -0.6604332802354914E-01, ... -0.3275791375914652E+00, ... -0.2766838581275656E+00, ... -0.4682823482345833E-02, ... 0.2346363468539146E+00, ... 0.2453117865733253E+00, ... 0.4347274616886144E-01, ... -0.1767852989567215E+00, ... -0.2234471044906276E+00, ... -0.7031805212177837E-01, ... 0.1333751546987933E+00, ... 0.2051040386135228E+00 ]; 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