function [ n_data, a, x, fx ] = gamma_inc_q_values ( n_data )

%*****************************************************************************80
%
%% GAMMA_INC_Q_VALUES: values of the normalized incomplete Gamma function Q(A,X).
%
%  Discussion:
%
%    The (normalized) incomplete Gamma function is defined as:
%
%      Q(A,X) = 1/Gamma(A) * Integral ( X <= T < oo ) T^(A-1) * exp(-T) dT.
%
%    With this definition, for all A and X,
%
%      0 <= Q(A,X) <= 1
%
%    and
%
%      Q(A,INFINITY) = 0.0
%
%    In Mathematica, the function can be evaluated by:
%
%      GammaRegularized[A,X]
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    11 April 2010
%
%  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, real A, the parameter of the function.
%
%    Output, real X, the argument of the function.
%
%    Output, real FX, the value of the function.
%
  n_max = 20;

  a_vec = [ ...
     0.10E+00, ...
     0.10E+00, ...
     0.10E+00, ...
     0.50E+00, ...
     0.50E+00, ...
     0.50E+00, ...
     0.10E+01, ...
     0.10E+01, ...
     0.10E+01, ...
     0.11E+01, ...
     0.11E+01, ...
     0.11E+01, ...
     0.20E+01, ...
     0.20E+01, ...
     0.20E+01, ...
     0.60E+01, ...
     0.60E+01, ...
     0.11E+02, ...
     0.26E+02, ...
     0.41E+02  ];

  fx_vec = [ ...
    0.2617649467660649, ...
    0.09164201026996572, ...
    0.01134401663780527, ...
    0.6985353583033387, ...
    0.2206713619198468, ...
    0.008150971593502700, ... 
    0.9048374180359596, ...
    0.3678794411714423, ...
    0.006737946999085467, ... 
    0.9279402542394568, ...
    0.4108190381293515, ...
    0.008463184015447498, ... 
    0.9898141728888165, ...
    0.5578254003710746, ...
    0.007295055724436130, ... 
    0.9579789618046939, ...
    0.02034102941692837, ...
    0.07739601577035708, ...
    0.5529214200244148, ...
    0.2555450779281301 ];

  x_vec = [ ...
     0.30E-01, ...
     0.30E+00, ...
     0.15E+01, ...
     0.75E-01, ...
     0.75E+00, ...
     0.35E+01, ...
     0.10E+00, ...
     0.10E+01, ...
     0.50E+01, ...
     0.10E+00, ... 
     0.10E+01, ...
     0.50E+01, ...
     0.15E+00, ...
     0.15E+01, ...
     0.70E+01, ...
     0.25E+01, ...
     0.12E+02, ...
     0.16E+02, ...
     0.25E+02, ...
     0.45E+02 ];

  if ( n_data < 0 )
    n_data = 0;
  end

  n_data = n_data + 1;

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

  return
end
