function [ n_data, a, b, n, fx ] = cos_power_int_values ( n_data )

%*****************************************************************************80
%
%% COS_POWER_INT_VALUES returns some values of the cosine power integral.
%
%  Discussion:
%
%    The function has the form
%
%      COS_POWER_INT(A,B,N) = Integral ( A <= T <= B ) ( cos(T) )^N dt
%
%    In Mathematica, the function can be evaluated by:
%
%      Integrate [ ( Cos[x] )^n, { x, a, b } ]
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    30 March 2012
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Stephen Wolfram,
%    The Mathematica Book,
%    Fourth Edition,
%    Cambridge University Press, 1999,
%    ISBN: 0-521-64314-7,
%    LC: QA76.95.W65.
%
%  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 limits of integration.
%
%    Output, integer N, the power.
%
%    Output, real FX, the function value.
%
  n_max = 11;

  a_vec = [ ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00, ...
     0.00 ];
  b_vec = [ ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793, ...
     3.141592653589793 ];
  fx_vec = [ ...
     3.141592653589793, ...
     0.0, ...
     1.570796326794897, ...
     0.0, ...
     1.178097245096172, ...
     0.0, ...
     0.9817477042468104, ...
     0.0, ...
     0.8590292412159591, ...
     0.0, ...
     0.7731263170943632 ];
  n_vec = [ ...
     0, ...
     1, ...
     2, ...
     3, ...
     4, ...
     5, ...
     6, ...
     7, ...
     8, ...
     9, ...
    10 ];

  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;
    n = 0;
    fx = 0.0;
  else
    a = a_vec(n_data);
    b = b_vec(n_data);
    n = n_vec(n_data);
    fx = fx_vec(n_data);
  end

  return
end
