function value = p32_exact ( dim_num ) %*****************************************************************************80 % %% P32_EXACT returns the exact integral for problem 32. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 02 June 2007 % % Author: % % John Burkardt % % Parameters: % % Input, integer DIM_NUM, the spatial dimension. % % Output, real VALUE, the exact value of the integral. % c = []; c = p32_r8vec ( 'G', 'C', dim_num, c ); z = []; z = p32_r8vec ( 'G', 'Z', dim_num, z ); [ a, b ] = p32_lim ( dim_num ); value = 1.0; for i = 1 : dim_num if ( z(i) <= a(i) ) value = value * 0.0; elseif ( z(i) <= b(i) ) if ( c(i) == 0.0 ) value = value * ( z(i) - a(i) ); else value = value * ( exp ( c(i) * z(i) ) - exp ( c(i) * a(i) ) ) / c(i); end else if ( c(i) == 0.0 ) value = value * ( b(i) - a(i) ); else value = value * ( exp ( c(i) * z(i) ) - exp ( c(i) * a(i) ) ) / c(i); end end end return end