function [ n_data, nu, x, fx ] = bessel_ix_values ( n_data )

%% BESSEL_IX_VALUES returns some values of the Ix Bessel function.
%
%  Discussion:
%
%    This set of data considers the less common case in which the
%    index of the Bessel function In is actually not an integer.
%    We may suggest this case by occasionally replacing the symbol
%    "In" by "Ix".
%
%    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:
%
%    02 March 2007
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Milton Abramowitz, Irene Stegun,
%    Handbook of Mathematical Functions,
%    National Bureau of Standards, 1964,
%    ISBN: 0-486-61272-4,
%    LC: QA47.A34.
%
%    Stephen Wolfram,
%    The Mathematica Book,
%    Fourth Edition,
%    Cambridge University Press, 1999,
%    ISBN: 0-521-64314-7,
%    LC: QA76.95.W65.
%
%  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 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 = [ ...
    0.3592084175833614E+00,  ...
    0.9376748882454876E+00,  ...
    2.046236863089055E+00,   ...
    3.053093538196718E+00,   ...
    4.614822903407601E+00,   ...
    26.47754749755907E+00,   ...
    2778.784603874571E+00,   ...
    4.327974627242893E+07,   ...
    0.2935253263474798E+00,  ...
    1.099473188633110E+00,   ...
    21.18444226479414E+00,   ...
    2500.906154942118E+00,   ...
    2.866653715931464E+20,   ...
    0.05709890920304825E+00, ...
    0.3970270801393905E+00,  ...
    13.76688213868258E+00,   ...
    2028.512757391936E+00,   ...
    2.753157630035402E+20,   ...
    0.4139416015642352E+00,  ...
    1.340196758982897E+00,   ...
    22.85715510364670E+00,   ...
    2593.006763432002E+00,   ...
    2.886630075077766E+20,   ...
    0.03590910483251082E+00, ...
    0.2931108636266483E+00,  ...
    11.99397010023068E+00,   ...
    1894.575731562383E+00,   ...
    2.716911375760483E+20 ];

  nu_vec = [ ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    0.50E+00, ...
    1.50E+00, ...
    1.50E+00, ...
    1.50E+00, ...
    1.50E+00, ...
    1.50E+00, ...
    2.50E+00, ...
    2.50E+00, ...
    2.50E+00, ...
    2.50E+00, ...
    2.50E+00, ...
    1.25E+00, ...
    1.25E+00, ...
    1.25E+00, ...
    1.25E+00, ...
    1.25E+00, ...
    2.75E+00, ...
    2.75E+00, ...
    2.75E+00, ...
    2.75E+00, ...
    2.75E+00 ];

  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 = 0.0;
    x = 0.0;
    fx = 0.0;
  else
    nu = nu_vec(n_data);
    x = x_vec(n_data);
    fx = fx_vec(n_data);
  end