function value = p10_f ( dim_num, point_num, x ) %*****************************************************************************80 % %% P10_F evaluates the integrand for problem 10. % % Dimension: % % DIM_NUM arbitrary. % % Region: % % 0 <= X(1:DIM_NUM) <= 1 % % Integrand: % % sum ( abs ( x(1:dim_num) - 0.5 ) ) % % Exact Integral: % % DIM_NUM / 4 % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 02 June 2007 % % Author: % % John Burkardt % % Reference: % % Philip Davis, Philip Rabinowitz, % Methods of Numerical Integration, % Second Edition, % Dover, 2007, % ISBN: 0486453391, % LC: QA299.3.D28. % % Thomas Patterson, % [Integral #4], % On the Construction of a Practical Ermakov-Zolotukhin % Multiple Integrator, % in Numerical Integration: Recent Developments, Software % and Applications, % edited by Patrick Keast, Graeme Fairweather, % D. Reidel, 1987, pages 269-290, % LC: QA299.3.N38. % % Arthur Stroud, % Approximate Calculation of Multiple Integrals, % Prentice Hall, 1971, % ISBN: 0130438936, % LC: QA311.S85. % % Parameters: % % Input, integer DIM_NUM, the dimension of the argument. % % Input, integer POINT_NUM, the number of points. % % Input, real X(DIM_NUM,POINT_NUM), the evaluation points. % % Output, real VALUE(POINT_NUM), the integrand values. % value(1:point_num) = 0.0; for point = 1 : point_num value(point) = sum ( abs ( x(1:dim_num,point) - 0.5 ) ); end p10_i4 ( 'I', '#', point_num ); return end