function [ n_data, a, b, x, fx ] = beta_cdf_values ( n_data )

%*****************************************************************************80
%
%% BETA_CDF_VALUES returns some values of the Beta CDF.
%
%  Discussion:
%
%    The incomplete Beta function may be written
%
%      BETA_INC(A,B,X) = Integral (0 to X) T^(A-1) * (1-T)^(B-1) dT
%                      / Integral (0 to 1) T^(A-1) * (1-T)^(B-1) dT
%
%    Thus,
%
%      BETA_INC(A,B,0.0) = 0.0;
%      BETA_INC(A,B,1.0) = 1.0
%
%    The incomplete Beta function is also sometimes called the
%    "modified" Beta function, or the "normalized" Beta function
%    or the Beta CDF (cumulative density function.
%
%    In Mathematica, the function can be evaluated by:
%
%      BETA[X,A,B] / BETA[A,B]
%
%    The function can also be evaluated by using the Statistics package:
%
%      Needs["Statistics`ContinuousDistributions`"]
%      dist = BetaDistribution [ a, b ]
%      CDF [ dist, x ]
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    28 April 2013
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Milton Abramowitz and Irene Stegun,
%    Handbook of Mathematical Functions,
%    US Department of Commerce, 1964.
%
%    Karl Pearson,
%    Tables of the Incomplete Beta Function,
%    Cambridge University Press, 1968.
%
%    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 A, B, the parameters of the function.
%
%    Output, real X, the argument of the function.
%
%    Output, real FX, the value of the function.
%
  n_max = 45;

  a_vec = [ ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      1.0E+00, ...
      1.0E+00, ...
      1.0E+00, ...
      1.0E+00, ...
      1.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      5.5E+00, ...
     10.0E+00, ...
     10.0E+00, ...
     10.0E+00, ...
     10.0E+00, ...
     20.0E+00, ...
     20.0E+00, ...
     20.0E+00, ...
     20.0E+00, ...
     20.0E+00, ...
     30.0E+00, ...
     30.0E+00, ...
     40.0E+00, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.1E+01, ...
      0.2E+01, ...
      0.3E+01, ...
      0.4E+01, ...
      0.5E+01, ...
      1.30625, ...
      1.30625, ...
      1.30625 ];

  b_vec = [ ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      0.5E+00, ...
      1.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      2.0E+00, ...
      5.0E+00, ...
      0.5E+00, ...
      5.0E+00, ...
      5.0E+00, ...
     10.0E+00, ...
      5.0E+00, ...
     10.0E+00, ...
     10.0E+00, ...
     20.0E+00, ...
     20.0E+00, ...
     10.0E+00, ...
     10.0E+00, ...
     20.0E+00, ...
     0.5E+00, ...
     0.5E+00, ...
     0.5E+00, ...
     0.5E+00, ...
     0.2E+01, ...
     0.3E+01, ...
     0.4E+01, ...
     0.5E+01, ...
     0.2E+01, ...
     0.2E+01, ...
     0.2E+01, ...
     0.2E+01, ...
    11.7562, ...
    11.7562, ... 
    11.7562 ];

  fx_vec = [ ...
     0.6376856085851985E-01, ...
     0.2048327646991335E+00, ...
     0.1000000000000000E+01, ...
     0.0000000000000000E+00, ...
     0.5012562893380045E-02, ...
     0.5131670194948620E-01, ...
     0.2928932188134525E+00, ...
     0.5000000000000000E+00, ...
     0.2800000000000000E-01, ...
     0.1040000000000000E+00, ...
     0.2160000000000000E+00, ...
     0.3520000000000000E+00, ...
     0.5000000000000000E+00, ...
     0.6480000000000000E+00, ...
     0.7840000000000000E+00, ...
     0.8960000000000000E+00, ...
     0.9720000000000000E+00, ...
     0.4361908850559777E+00, ...
     0.1516409096347099E+00, ...
     0.8978271484375000E-01, ...
     0.1000000000000000E+01, ...
     0.5000000000000000E+00, ...
     0.4598773297575791E+00, ...
     0.2146816102371739E+00, ...
     0.9507364826957875E+00, ...
     0.5000000000000000E+00, ...
     0.8979413687105918E+00, ...
     0.2241297491808366E+00, ...
     0.7586405487192086E+00, ...
     0.7001783247477069E+00, ...
     0.5131670194948620E-01, ...
     0.1055728090000841E+00, ...
     0.1633399734659245E+00, ...
     0.2254033307585166E+00, ...
     0.3600000000000000E+00, ...
     0.4880000000000000E+00, ...
     0.5904000000000000E+00, ...
     0.6723200000000000E+00, ...
     0.2160000000000000E+00, ...
     0.8370000000000000E-01, ...
     0.3078000000000000E-01, ...
     0.1093500000000000E-01, ...
     0.918884684620518, ...
     0.21052977489419, ...
     0.1824130512500673 ];

  x_vec = [ ...
     0.01E+00, ...
     0.10E+00, ...
     1.00E+00, ...
     0.00E+00, ...
     0.01E+00, ...
     0.10E+00, ...
     0.50E+00, ...
     0.50E+00, ...
     0.10E+00, ...
     0.20E+00, ...
     0.30E+00, ...
     0.40E+00, ...
     0.50E+00, ...
     0.60E+00, ...
     0.70E+00, ...
     0.80E+00, ...
     0.90E+00, ...
     0.50E+00, ...
     0.90E+00, ...
     0.50E+00, ...
     1.00E+00, ...
     0.50E+00, ...
     0.80E+00, ...
     0.60E+00, ...
     0.80E+00, ...
     0.50E+00, ...
     0.60E+00, ...
     0.70E+00, ...
     0.80E+00, ...
     0.70E+00, ...
     0.10E+00, ...
     0.20E+00, ...
     0.30E+00, ...
     0.40E+00, ...
     0.20E+00, ...
     0.20E+00, ...
     0.20E+00, ...
     0.20E+00, ...
     0.30E+00, ...
     0.30E+00, ...
     0.30E+00, ...
     0.30E+00, ...
     0.225609, ...
     0.0335568, ...
     0.0295222  ];

  if ( n_data < 0 )
    n_data = 0;
  end

  n_data = n_data + 1;

  if ( n_max < n_data )
    n_data = 0;
    a = 0.0;
    b = 0.0;
    x = 0.0;
    fx = 0.0;
  else
    a = a_vec(n_data);
    b = b_vec(n_data);
    x = x_vec(n_data);
    fx = fx_vec(n_data);
  end

  return
end
