function hypersphere_distance_test ( )

%*****************************************************************************80
%
%% hypersphere_distance_test() tests hypersphere_distance().
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    17 April 2019
%
%  Author:
%
%    John Burkardt
%
  addpath ( '../hypersphere_distance' );

  timestamp ( );
  fprintf ( 1, '\n' );
  fprintf ( 1, 'hypersphere_distance_test():\n' );
  fprintf ( 1, '  MATLAB/Octave version %s\n', version ( ) );
  fprintf ( 1, '  Test hypersphere_distance().\n' );

  m = 20;
  n = 10000;
  [ mu, var ] = hypersphere_distance_stats ( m, n );
  mu_exact = sqrt ( 2.0 );
  var_exact = 2.0 - 2.0 ^ ( 2 * m - 2 ) * gamma ( m / 2 ) ^ 4 / pi / gamma ( m - 0.5 ) ^ 2;
  fprintf ( 1, '\n' );
  fprintf ( 1, '  Using M = %d spatial dimension\n', m );
  fprintf ( 1, '  Using N = %d sample points,\n', n );
  fprintf ( 1, '  Estimated mean distance = %g\n', mu );
  fprintf ( 1, '  Exact mean distance     = %g\n', mu_exact );
  fprintf ( 1, '  Estimated variance      = %g\n', var );
  fprintf ( 1, '  Exact variance          = %g\n', var_exact );

  m = 20;
  n = 10000;
  hypersphere_distance_histogram ( m, n );
  filename = 'hypersphere_distance_histogram.png';
  print ( '-dpng', filename );
  fprintf ( 1, '\n' );
  fprintf ( 1, '  Graphics saved in "%s"\n', filename );

  m = 20;
  hypersphere_distance_pdf ( m );
  filename = 'hypersphere_distance_pdf.png';
  print ( '-dpng', filename );
  fprintf ( 1, '\n' );
  fprintf ( 1, '  Graphics saved in "%s"\n', filename );

  clf ( );
  hold ( 'on' );
  m = 20;
  n = 10000;
  hypersphere_distance_histogram ( m, n );
  hypersphere_distance_pdf ( m );
  hold ( 'off' );
  filename = 'hypersphere_distance_compare.png';
  print ( '-dpng', filename );
  fprintf ( 1, '  Graphics saved as "%s"\n', filename );
%
%  Terminate.
%
  fprintf ( 1, '\n' );
  fprintf ( 1, 'hypersphere_distance_test():\n' );
  fprintf ( 1, '  Normal end of execution.\n' );
  fprintf ( 1, '\n' );
  timestamp ( );

  rmpath ( '../hypersphere_distance' );

  return
end
function timestamp ( )

%*****************************************************************************80
%
%% timestamp() prints the current YMDHMS date as a timestamp.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    14 February 2003
%
%  Author:
%
%    John Burkardt
%
  t = now;
  c = datevec ( t );
  s = datestr ( c, 0 );
  fprintf ( 1, '%s\n', s );

  return
end

