% Trigonometric 1 function L. LAURENT -- 23/02/2017 -- luc.laurent@lecnam.net
0001 %% Trigonometric 1 function 0002 % L. LAURENT -- 23/02/2017 -- 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 %1 minimum global: f(0,...,0)=0 0025 % 0026 %Design space 0<xi<pi 0027 0028 0029 function [p,dp] = funTrigonometric1(xx) 0030 0031 %constants 0032 nbvar=size(xx,3); 0033 0034 %evaluation and derivatives 0035 cx=cos(xx); 0036 sx=sin(xx); 0037 % 0038 lI=reshape(1:nbvar,1,1,nbvar); 0039 % 0040 sumcx=sum(cx+lI.*(1-cx-sx),3); 0041 % 0042 pa=nbvar-sumcx(:,:,ones(1,nbvar)); 0043 % 0044 p=sum(pa.^2,3); 0045 0046 if nargout==2 0047 % 0048 dp=2*pa.*(sx+lI.*(-sx+cx))*nbvar; 0049 end 0050 end