function test04 ( m, n ) %*****************************************************************************80 % %% TEST04 estimates integrals in M dimensions, using N points. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 30 August 2012 % % Author: % % John Burkardt % % Parameters: % % Input, integer M, the spatial dimension. % % Input, integer N, the number of evaluation points. % fprintf ( 1, '\n' ); fprintf ( 1, 'TEST04\n' ); fprintf ( 1, ' P00_Q returns the integral of F over [0,1]^m.\n' ); fprintf ( 1, ' Here, we use spatial dimension M = %d\n', m ); fprintf ( 1, ' The number of sample points is N = %d\n', n ); seed = 123456789; [ x, seed ] = r8mat_uniform_01 ( m, n, seed ); prob_num = p00_prob_num ( ); for prob = 1 : prob_num fprintf ( 1, '\n' ); fprintf ( 1, ' Problem %d\n', prob ); [ c, seed ] = p00_c ( prob, m, seed ); r8vec_print ( m, c, ' C parameters:' ); [ w, seed ] = p00_w ( prob, m, seed ); r8vec_print ( m, w, ' W parameters:' ); fprintf ( 1, '\n' ); fprintf ( 1, ' Exact Integral Q\n' ); fprintf ( 1, '\n' ); q1 = p00_q ( prob, m, c, w ); f = p00_f ( prob, m, c, w, n, x ); q2 = sum ( f(1:n) ) / n; fprintf ( 1, ' %14g %14g\n', q1, q2 ); end return end