funPeaksN

PURPOSE ^

% Normalised Peaks function

SYNOPSIS ^

function [p,dp]=funPeaksN(xx)

DESCRIPTION ^

% Normalised Peaks function
L. LAURENT -- 12/05/2010 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

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