% deVilliers Glasser 1 function L. LAURENT -- 15/11/2016 -- luc.laurent@lecnam.net
0001 %% deVilliers Glasser 1 function 0002 %L. LAURENT -- 15/11/2016 -- 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 %4 global minimas : f(x1,x2,x3,x4)=0 0026 % 0027 %Design space: -500<xi<500 0028 0029 0030 function [p,dp]=funDeVilliersGlasser1(xx) 0031 0032 %constants 0033 a=24; 0034 b=0.1; 0035 c=1; 0036 d=60.137; 0037 f=1.371; 0038 g=3.112; 0039 h=1.761; 0040 % 0041 ii=1:a; 0042 t=reshape(b*(ii-c),[1,1,a]); 0043 y=d*f.^t.*(sin(g*t+h)); 0044 0045 %variables 0046 xxx=xx(:,:,1); 0047 yyy=xx(:,:,2); 0048 zzz=xx(:,:,3); 0049 vvv=xx(:,:,4); 0050 0051 %evaluation and derivatives 0052 zt=bsxfun(@times,zzz,t); 0053 ztv=bsxfun(@plus,zt,vvv); 0054 szv=sin(ztv); 0055 % 0056 yt=bsxfun(@power,yyy,t); 0057 xyt=bsxfun(@times,yt,xxx); 0058 % 0059 pa=szv.*xyt; 0060 pb=bsxfun(@minus,pa,y); 0061 % 0062 p=sum(pb.^2,3); 0063 % 0064 if nargout==2 0065 xt=bsxfun(@times,xxx,t); 0066 ytm=bsxfun(@power,yyy,t-1); 0067 czv=cos(ztv); 0068 % 0069 dp(:,:,1)=sum(2*yt.*szv.*pb,3); 0070 dp(:,:,2)=sum(2*xt.*ytm.*szv.*pb,3); 0071 dp(:,:,3)=sum(2*xt.*yt.*czv.*pb,3); 0072 dp(:,:,4)=sum(2*xyt.*czv.*pb,3); 0073 end 0074 end