function [ n_data, nu, x, fx ] = bessel_in_values ( n_data ) %% BESSEL_IN_VALUES returns some values of the In Bessel function. % % Discussion: % % The modified Bessel functions In(Z) and Kn(Z) are solutions of % the differential equation % % Z^2 W'' + Z * W' - ( Z^2 + N^2 ) * W = 0. % % In Mathematica, the function can be evaluated by: % % BesselI[n,x] % % 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 = 28; fx_vec = [ ... 0.5016687513894678E-02, ... 0.1357476697670383E+00, ... 0.6889484476987382E+00, ... 0.1276466147819164E+01, ... 0.2245212440929951E+01, ... 0.1750561496662424E+02, ... 0.2281518967726004E+04, ... 0.3931278522104076E+08, ... 0.2216842492433190E-01, ... 0.2127399592398527E+00, ... 0.1033115016915114E+02, ... 0.1758380716610853E+04, ... 0.2677764138883941E+21, ... 0.2714631559569719E-03, ... 0.9825679323131702E-02, ... 0.2157974547322546E+01, ... 0.7771882864032600E+03, ... 0.2278548307911282E+21, ... 0.2752948039836874E-09, ... 0.3016963879350684E-06, ... 0.4580044419176051E-02, ... 0.2189170616372337E+02, ... 0.1071597159477637E+21, ... 0.3966835985819020E-24, ... 0.4310560576109548E-18, ... 0.5024239357971806E-10, ... 0.1250799735644948E-03, ... 0.5442008402752998E+19 ]; nu_vec = [ ... 2, 2, 2, 2, ... 2, 2, 2, 2, ... 3, 3, 3, 3, ... 3, 5, 5, 5, ... 5, 5, 10, 10, ... 10, 10, 10, 20, ... 20, 20, 20, 20 ]; x_vec = [ ... 0.2E+00, ... 1.0E+00, ... 2.0E+00, ... 2.5E+00, ... 3.0E+00, ... 5.0E+00, ... 10.0E+00, ... 20.0E+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, ... 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