function cauchy_sample_test ( ) %*****************************************************************************80 % %% CAUCHY_SAMPLE_TEST tests CAUCHY_MEAN, CAUCHY_SAMPLE, CAUCHY_VARIANCE. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 15 April 2009 % % Author: % % John Burkardt % nsample = 1000; seed = 123456789; fprintf ( 1, '\n' ); fprintf ( 1, 'CAUCHY_SAMPLE_TEST\n' ); fprintf ( 1, ' CAUCHY_MEAN computes the Cauchy mean;\n' ); fprintf ( 1, ' CAUCHY_VARIANCE computes the Cauchy variance;\n' ); fprintf ( 1, ' CAUCHY_SAMPLE samples the Cauchy distribution.\n' ); a = 2.0; b = 3.0; check = cauchy_check ( a, b ); if ( ~check ); fprintf ( 1, '\n' ); fprintf ( 1, 'CAUCHY_SAMPLE_TEST - Fatal error!\n' ); fprintf ( 1, ' The parameters are not legal.\n' ); return end mean = cauchy_mean ( a, b ); variance = cauchy_variance ( a, b ); fprintf ( 1, '\n' ); fprintf ( 1, ' PDF parameter A = %14g\n', a ); fprintf ( 1, ' PDF parameter B = %14g\n', b ); fprintf ( 1, ' PDF mean = %14g\n', mean ); fprintf ( 1, ' PDF variance = %14g\n', variance ); for i = 1 : nsample [ x(i), seed ] = cauchy_sample ( a, b, 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