function [ n_data, x, fx ] = tran02_values ( n_data )

%*****************************************************************************80
%
%% tran02_values() returns some values of the order 2 transportation function.
%
%  Discussion:
%
%    The function is defined by:
%
%      TRAN02(x) = Integral ( 0 <= t <= x ) t^2 exp(t) / ( exp(t) - 1 )^2 dt
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    29 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.
%
%  Input:
%
%    integer N_DATA.  The user sets N_DATA to 0 before the first call.  
%    Thereafter, it should simply be the value returned by the previous call.
%
%  Output:
%
%    integer N_DATA.  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.
%
%    real X, the argument of the function.
%
%    real FX, the value of the function.
%
  n_max = 20;

  fx_vec = [ ...
     0.19531247930394515480E-02, ...
     0.31249152314331109004E-01, ...
     0.12494577194783451032E+00, ...
     0.49655363615640595865E+00, ...
     0.97303256135517012845E+00, ...
     0.14121978695932525805E+01, ...
     0.18017185674405776809E+01, ...
     0.21350385339277043015E+01, ...
     0.24110500490169534620E+01, ...
     0.28066664045631179931E+01, ...
     0.28777421863296234131E+01, ...
     0.30391706043438554330E+01, ...
     0.31125074928667355940E+01, ...
     0.31656687817738577185E+01, ...
     0.32623520367816009184E+01, ...
     0.32843291144979517358E+01, ...
     0.32897895167775788137E+01, ...
     0.32898672226665499687E+01, ...
     0.32898681336064325400E+01, ...
     0.32898681336964528724E+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
