funObjPoloni1

PURPOSE ^

% Ploloni 1st objective function

SYNOPSIS ^

function [p,dp]=funObjPoloni1(xx)

DESCRIPTION ^

% Ploloni 1st objective function
L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Ploloni 1st objective function
0002 %L. LAURENT -- 09/05/2018 -- 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 function [p,dp]=funObjPoloni1(xx)
0025 
0026 %constants
0027 a=0.5;
0028 b=2;
0029 c=1.5;
0030 %
0031 A1=a*sin(1)-b*cos(1)+sin(b)-c*cos(b);
0032 A2=c*sin(1)-cos(1)+b*sin(b)-a*cos(b);
0033 
0034 %responses and derivatives
0035 xxx=xx(:,:,1);
0036 yyy=xx(:,:,2);
0037 %
0038 sx=sin(xxx);
0039 sy=sin(yyy);
0040 cx=cos(xxx);
0041 cy=cos(yyy);
0042 %
0043 B1=a*sx-b*cx+sy-c*cy;
0044 B2=c*sx-cx+b*sy-a*cy;
0045 %
0046 tda=A1-B1;
0047 tdb=A2-B2;
0048 %
0049 p=1+tda.^2+tdb.^2;
0050 
0051 if nargout==2
0052     %
0053     B1x=a*cx+b*sx;
0054     B1y=cy+c*sy;
0055     B2x=c*cx+sx;
0056     B2y=b*cy+a*sy;    
0057     %
0058     dp(:,:,1)=-2*B1x.*tda-2*B2x.*tdb;
0059     dp(:,:,2)=-2*B1y.*tda-2*B2y.*tdb;
0060 end
0061 end

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