testfunc3.m

function [out] = testfunc3(R)
% F3 (n-D) benchmark function, a part of "CFOTool: a MATLAB toolbox for
% Central Force Optimization (CFO)" project
%
% Copyright (C) 2011  Hamed Abdy, Richard A. Formatto, Seyyed Hamid Zahiri
% 
% CFOTool is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
% 
% CFOTool is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.
% 
% You should have received a copy of the GNU General Public License
% along with this program.  If not, see <http://www.gnu.org/licenses/>.
%
% MATLAB is a registered trademark of The MathWorks, Inc.
%
% For more information please see "README.txt" file that you recieved with
% this code.
% -------------------------------------------------------------------------
% MAXIMUM = ZERO (n-D CASE).
% -------------------------------------------------------------------------

[Np, Nd] = size(R);
Z = zeros(Np, 1);

for i = 1:Nd
    sums = sum(R(:, 1:i), 2);
    Z = Z + sums .^ 2;
end

out = Z;

end