function value = p28_exact ( dim_num ) %*****************************************************************************80 % %% P28_EXACT returns the exact integral for problem 28. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 19 March 2007 % % Author: % % John Burkardt % % Parameters: % % Input, integer DIM_NUM, the spatial dimension. % % Output, real VALUE, the exact value of the integral. % c = []; c = p28_r8vec ( 'G', 'C', dim_num, c ); z = []; z = p28_r8vec ( 'G', 'Z', dim_num, z ); value = prod ( ... ( atan ( ( 1.0 - z(1:dim_num) ) ./ c(1:dim_num) ) ... + atan ( z(1:dim_num) ./ c(1:dim_num) ) ... ) ... ./ c(1:dim_num) ... ); return end