function [ n_data, n, x, fx ] = w_polynomial_01_values ( n_data )

%*****************************************************************************80
%
%% W_POLYNOMIAL_01_VALUES returns values of Chebyshev polynomials W01(n,x).
%
%  Discussion:
%
%    W01(n,x) = W(n,2*x-1)
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    19 July 2015
%
%  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 N, the order of the function.
%
%    Output, real X, the point where the function is evaluated.
%
%    Output, real FX, the value of the function.
%
  n_max = 25;

  fx_vec = [ ...
     0.000000000000000, ...
     1.000000000000000, ...
     2.400000000000000, ...
     2.360000000000000, ...
     0.904000000000000, ...
    -1.094400000000000, ...
    -2.436160000000000, ...
    -2.316224000000000, ...
    -0.806553600000000, ...
     1.187048960000000, ...
     2.468422144000000, ...
     2.268742041600000, ...
     0.707816714240000, ...
    -1.277798641664000, ...
    -1.000000000000000, ...
    -0.119769600000000, ...
    -0.875276800000000, ...
     0.890508800000000, ...
     0.855897600000000, ...
    -1.000000000000000, ...
    -1.183705600000000, ...
     1.217779200000000, ...
     1.391244800000000, ...
    -3.141798400000000, ...
     15.00000000000000 ];

  n_vec = [ ...
    -1, ...
     0,  1,  2, ...
     3,  4,  5, ...
     6,  7,  8, ...
     9, 10, 11, ...
    12,  7,  7, ...
     7,  7,  7, ...
     7,  7,  7, ...
     7,  7,  7 ];

  x_vec = [ ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.85, ...
    0.00, ...
    0.10, ...
    0.20, ...
    0.30, ...
    0.40, ...
    0.50, ...
    0.60, ...
    0.70, ...
    0.80, ...
    0.90, ...
    1.00 ];

  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
