% Mishra 6 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 6 function 0002 %L. LAURENT -- 17/11/2016 -- 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)=-2.67507597 for x=(2.94777, 1.82174) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funMishra06(xx) 0031 0032 %constants 0033 a=1e-2; 0034 b=1; 0035 0036 %variables 0037 xxx=xx(:,:,1); 0038 yyy=xx(:,:,2); 0039 0040 %evaluation and derivatives 0041 g=cos(xxx)+cos(yyy); 0042 h=sin(xxx)+sin(yyy); 0043 kx=xxx-b; 0044 ky=yyy-b; 0045 pa=sin(g.^2).^2-cos(h.^2).^2+xxx; 0046 % 0047 p=-log(pa.^2)+a*(kx.^2+ky.^2); 0048 0049 if nargout==2 0050 dgX=-sin(xxx); 0051 dgY=-sin(yyy); 0052 dhX=cos(xxx); 0053 dhY=cos(yyy); 0054 % 0055 dp(:,:,1)=-2*pa.*(4*dgX.*g.*cos(g.^2).*sin(g.^2)... 0056 +4*dhX.*h.*sin(h.^2).*cos(h.^2)+1)./pa.^2 ... 0057 +2*a*kx; 0058 dp(:,:,2)=-2*pa.*(4*dgY.*g.*cos(g.^2).*sin(g.^2)... 0059 +4*dhY.*h.*sin(h.^2).*cos(h.^2))./pa.^2 ... 0060 +2*a*ky; 0061 end 0062 end