function f = niederreiter_mccurley1 ( x ) %*****************************************************************************80 % %% NIEDERREITER_MCCURLEY1 evaluates the Niederreiter-McCurley function 1. % % Discussion: % % The spatial dimension is taken as 4. % % The maximum is sought within the unit hypercube. % % The reported maximum value occurs at approximately % % X = [ 0.409887209247642, 0.409887209247642, 0.409887209247642, % 0.409887209247642 ] % % with % % F(X) = 1.026198512571862 % % Note that FMINCON is designed to minimize functions, so we must negate % the output value here in order to satisfy FMINCON. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 06 September 2010 % % Author: % % John Burkardt % % Reference: % % Harald Niederreiter, Kevin McCurley, % Optimization of functions by quasi-random search methods, % Computing, % Volume 22, Number 2, 1979, pages 119-123. % % Parameters: % % Input, real X(N), the argument of the objection function. % % Output, real F, the value of the objective function. % p = prod ( x ); s = sum ( x ); f = - exp ( p ) * sin ( s ); return end