% New Function 3 function L. LAURENT -- 21/03/2017 -- luc.laurent@lecnam.net
0001 %% New Function 3 function 0002 %L. LAURENT -- 21/03/2017 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 0008 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0009 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0010 % 0011 % This program is free software: you can redistribute it and/or modify 0012 % it under the terms of the GNU General Public License as published by 0013 % the Free Software Foundation, either version 3 of the License, or 0014 % (at your option) any later version. 0015 % 0016 % This program is distributed in the hope that it will be useful, 0017 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0018 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0019 % GNU General Public License for more details. 0020 % 0021 % You should have received a copy of the GNU General Public License 0022 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0023 0024 % 0025 %global minimum : f(x)=-1.019829 for x=[-1.9862 -10] 0026 % 0027 %Design space: -10<xi<10 0028 % 0029 0030 0031 function [p,dp]=funNewFunction3(xx) 0032 %constants 0033 a=0.01; 0034 b=0.1; 0035 0036 %evaluation and derivatives 0037 x=xx(:,:,1); 0038 y=xx(:,:,2); 0039 % 0040 cx=cos(x); 0041 cy=cos(y); 0042 sx=sin(x); 0043 sy=sin(y); 0044 scxy=sin((cx+cy).^2); 0045 csxy=cos((sx+sy).^2); 0046 % 0047 pa=(x+scxy.^2+csxy.^2); 0048 p=a*x+b*y+pa.^2; 0049 % 0050 if nargout==2 0051 % 0052 dp=zeros(size(xx)); 0053 % 0054 ccxy=cos((cx+cy).^2); 0055 ssxy=sin((sx+sy).^2); 0056 % 0057 dp(:,:,1)=a+2*pa.*(1-4*sx.*(cx+cy).*scxy.*ccxy-4*cx.*(sx+sy).*ssxy.*csxy); 0058 dp(:,:,2)=b+2*pa.*(-4*sy.*(cx+cy).*ccxy.*scxy-4*cy.*(sx+sy).*ssxy.*csxy); 0059 % 0060 end