function lorentz_sample_test ( ) %*****************************************************************************80 % %% LORENTZ_SAMPLE_TEST tests LORENTZ_SAMPLE. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 03 April 2016 % % Author: % % John Burkardt % nsample = 1000; seed = 123456789; fprintf ( 1, '\n' ); fprintf ( 1, 'LORENTZ_SAMPLE_TEST\n' ); fprintf ( 1, ' LORENTZ_MEAN computes the Lorentz mean;\n' ); fprintf ( 1, ' LORENTZ_VARIANCE computes the Lorentz variance;\n' ); fprintf ( 1, ' LORENTZ_SAMPLE samples the Lorentz distribution.\n' ); mean = lorentz_mean ( ); variance = lorentz_variance ( ); fprintf ( 1, '\n' ); fprintf ( 1, ' PDF mean = %14g\n', mean ); fprintf ( 1, ' PDF variance = %14g\n', variance ); for i = 1 : nsample [ x(i), seed ] = lorentz_sample ( seed ); end mean = r8vec_mean ( nsample, x ); variance = r8vec_variance ( nsample, x ); xmax = max ( x(1:nsample) ); xmin = min ( x(1:nsample) ); fprintf ( 1, '\n' ); fprintf ( 1, ' Sample size = %6d\n', nsample ); fprintf ( 1, ' Sample mean = %14g\n', mean ); fprintf ( 1, ' Sample variance = %14g\n', variance ); fprintf ( 1, ' Sample maximum = %14g\n', xmax ); fprintf ( 1, ' Sample minimum = %14g\n', xmin ); return end