function [ n_data, x, fx ] = tran03_values ( n_data )

%*****************************************************************************80
%
%% TRAN03_VALUES returns some values of the order 3 transportation function.
%
%  Discussion:
%
%    The function is defined by:
%
%      TRAN03(x) = Integral ( 0 <= t <= x ) t^3 * exp(t) / ( exp(t) - 1 )^2 dt
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    19 September 2004
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Milton Abramowitz and Irene Stegun,
%    Handbook of Mathematical Functions,
%    US Department of Commerce, 1964.
%
%    Allan McLeod,
%    Algorithm 757, MISCFUN: A software package to compute uncommon
%      special functions,
%    ACM Transactions on Mathematical Software,
%    Volume 22, Number 3, September 1996, pages 288-301.
%
%    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 = 20;

  fx_vec = [ ...
     0.19073483296476379584E-05, ...
     0.48826138243180786081E-03, ...
     0.78074163848431205820E-02, ...
     0.12370868718812031049E+00, ...
     0.47984100657241749994E+00, ...
     0.10269431622039754738E+01, ...
     0.17063547219458658863E+01, ...
     0.24539217444475937661E+01, ...
     0.32106046629422467723E+01, ...
     0.45792174372291563703E+01, ...
     0.48722022832940370805E+01, ...
     0.56143866138422732286E+01, ...
     0.59984455864575470009E+01, ...
     0.63033953673480961120E+01, ...
     0.69579908688361166266E+01, ...
     0.71503227120085929750E+01, ...
     0.72110731475871876393E+01, ...
     0.72123221966388461839E+01, ...
     0.72123414161609465119E+01, ...
     0.72123414189575656868E+01 ];

  x_vec = [ ...
       0.0019531250E+00, ...
       0.0312500000E+00, ...
       0.1250000000E+00, ...
       0.5000000000E+00, ...
       1.0000000000E+00, ...
       1.5000000000E+00, ...
       2.0000000000E+00, ...
       2.5000000000E+00, ...
       3.0000000000E+00, ...
       4.0000000000E+00, ...
       4.2500000000E+00, ...
       5.0000000000E+00, ...
       5.5000000000E+00, ...
       6.0000000000E+00, ...
       8.0000000000E+00, ...
      10.0000000000E+00, ...
      15.0000000000E+00, ...
      20.0000000000E+00, ...
      30.0000000000E+00, ...
      50.0000000000E+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
