function [ n_data, n, x, fx ] = bernoulli_poly_values ( n_data )

%*****************************************************************************80
%
%% bernoulli_poly_values() returns some values of the Bernoulli polynomials.
%
%  Discussion:
%
%    In Mathematica, the function can be evaluated by:
%
%      BernoulliB[n,x]
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    15 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.
%
%  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.
%
%    integer N, the order of the Bernoulli polynomial.
%
%    real X, the argument of the Bernoulli polynomial.
%
%    real FX, the value of the Bernoulli polynomial.
%
  n_max = 27;

  fx_vec = [ ...
      0.1000000000000000E+01, ...
     -0.3000000000000000E+00, ...
      0.6666666666666667E-02, ...
      0.4800000000000000E-01, ...
     -0.7733333333333333E-02, ...
     -0.2368000000000000E-01, ...
      0.6913523809523810E-02, ...
      0.2490880000000000E-01, ...
     -0.1014997333333333E-01, ...
     -0.4527820800000000E-01, ...
      0.2332631815757576E-01, ...
     -0.3125000000000000E+00, ...
     -0.1142400000000000E+00, ...
     -0.0176800000000000E+00, ...
      0.0156800000000000E+00, ...
      0.0147400000000000E+00, ...
      0.0000000000000000E+00, ...
     -0.1524000000000000E-01, ...
     -0.2368000000000000E-01, ...
     -0.2282000000000000E-01, ...
     -0.1376000000000000E-01, ...
      0.0000000000000000E+01, ...
      0.1376000000000000E-01, ...
      0.2282000000000000E-01, ...
      0.2368000000000000E-01, ...
      0.1524000000000000E-01, ...
      0.0000000000000000E+01 ];

  n_vec = [ ...
     0, ...
     1, ...
     2, ...
     3, ...
     4, ...
     5, ...
     6, ...
     7, ...
     8, ...
     9, ...
    10, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5, ...
     5 ];

  x_vec = [ ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
      0.2E+00, ...
     -0.5E+00, ...
     -0.4E+00, ...
     -0.3E+00, ...
     -0.2E+00, ...
     -0.1E+00, ...
      0.0E+00, ...
      0.1E+00, ...
      0.2E+00, ...
      0.3E+00, ...
      0.4E+00, ...
      0.5E+00, ...
      0.6E+00, ...
      0.7E+00, ...
      0.8E+00, ...
      0.9E+00, ...
      1.0E+00 ];

  if ( n_data < 0 )
    n_data = 0;
  end

  n_data = n_data + 1;

  if ( n_max < n_data )
    n_data = 0;
    n = 0;
    x = 0.0;
    fx = 0.0;
  else
    n = n_vec(n_data);
    x = x_vec(n_data);
    fx = fx_vec(n_data);
  end

  return
end
