function zipf_sample_test ( )

%*****************************************************************************80
%
%% zipf_sample_test() tests zipf_mean(), zipf_sample(), zipf_variance().
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    08 March 2016
%
%  Author:
%
%    John Burkardt
%
  nsample = 1000;

  fprintf ( 1, '\n' );
  fprintf ( 1, 'zipf_sample_test():\n' );
  fprintf ( 1, '  zipf_mean() returns the mean of the Zipf distribution.\n' );
  fprintf ( 1, '  zipf_sample() samples the Zipf distribution.\n' );
  fprintf ( 1, '  zipf_variance() returns the variance of the Zipf distribution.\n' );

  a = 4.0;

  check = zipf_check ( a );

  if ( ~ check );
    fprintf ( 1, '\n' );
    fprintf ( 1, 'zipf_sample_test(): Fatal error!\n' );
    fprintf ( 1, '  The parameters are not legal.\n' );
    return
  end

  x_mean = zipf_mean ( a );
  x_var = zipf_variance ( a );

  fprintf ( 1, '\n' );
  fprintf ( 1, '  PDF parameter A =             %14f\n', a );
  fprintf ( 1, '  PDF mean =                    %14f\n', x_mean );
  fprintf ( 1, '  PDF variance =                %14f\n', x_var );

  x = zeros ( nsample, 1 );
  for i = 1 : nsample
    x(i) = zipf_sample ( a );
  end

  x_mean = mean ( x );
  x_var = var ( x );
  x_max = max ( x );
  x_min = min ( x );

  fprintf ( 1, '\n' );
  fprintf ( 1, '  Sample size =     %6d\n', nsample );
  fprintf ( 1, '  Sample mean =     %14f\n', x_mean );
  fprintf ( 1, '  Sample variance = %14f\n', x_var );
  fprintf ( 1, '  Sample maximum =  %6d\n', x_max );
  fprintf ( 1, '  Sample minimum =  %6d\n', x_min );

  return
end
