testfunc12.m

function [out] = testfunc12(R)
% (n-D) F12, Penalized #1 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.
% -------------------------------------------------------------------------
% Ref: Yao(1999).  Max=0 @ (-1,-1,...,-1), -50=<Xi=<50.
% -------------------------------------------------------------------------

Nd = size(R, 2);

X1 = R(:, 1);
Xn = R(:, Nd);
Y1 = 1 + (X1 + 1) ./ 4;
Yn = 1 + (Xn + 1) ./ 4;

Yi = 1 + (R(:, 1:(Nd - 1))+1) ./ 4;
YiPlus1 = 1 + (R(:, 2:Nd)+1) ./ 4;

sum1 = sum(((Yi - 1) .^ 2) .* (1 + 10 .* (sin(pi .* YiPlus1)) .^ 2), 2);
sum1 = sum1 + 10 .* (sin(pi .* Y1)) .^ 2 + (Yn - 1) .^ 2;
sum1 = pi .* sum1 ./ Nd;

sum2 = sum(u(R, 10, 100, 4), 2);

Z = sum1 + sum2;
out = Z;

end