% Normalised Peaks function L. LAURENT -- 12/05/2010 -- luc.laurent@lecnam.net
0001 %% Normalised Peaks function 0002 %L. LAURENT -- 12/05/2010 -- 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 function [p,dp]=funPeaksN(xx) 0026 %responses and derivatives 0027 xxx=4*xx(:,:,1); 0028 yyy=4*xx(:,:,2); 0029 0030 p = 3*(1-xxx).^2.*exp(-(xxx.^2) - (yyy+1).^2) ... 0031 - 10*(xxx/5 - xxx.^3 - yyy.^5).*exp(-xxx.^2-yyy.^2) ... 0032 - 1/3*exp(-(xxx+1).^2 - yyy.^2); 0033 0034 p=p/7.5; 0035 0036 if nargout==2 0037 dp(:,:,1)=-6*(1-xxx).*exp(-(xxx.^2) - (yyy+1).^2)... 0038 -6*xxx.*(1-xxx).^2.*exp(-xxx.^2-(yyy+1).^2) ... 0039 -10*(1/5-3*xxx.^2).*exp(-xxx.^2-yyy.^2)... 0040 +20*(xxx/5-xxx.^3-yyy.^5).*xxx.*exp(-xxx.^2-yyy.^2)... 0041 +2/3*(xxx+1).*exp(-(xxx+1).^2-yyy.^2); 0042 dp(:,:,2)=-6*(1-xxx).^2.*(yyy+1).*exp(-xxx.^2-(yyy+1).^2)... 0043 +50*yyy.^4.*exp(-xxx.^2-yyy.^2)... 0044 +20*yyy.*(xxx/5-xxx.^3-yyy.^5).*exp(-xxx.^2 -yyy.^2)... 0045 +2/3*yyy.*exp(-(xxx+1).^2-yyy.^2); 0046 dp=4*dp/7.5; 0047 end 0048 0049 end