testfunction.m

修改自wiley的书中的各种遗传算法（GA）matlab代码

%PROGRAM 9: TEST FUNCTIONS
% Test functions for optimization
% These are the test functions that appear in Appendix I.
% Set funnum to the function you want to use.
% funnum=17 is for a MOO function
% Haupt & Haupt
% 2003
function f=testfunction(x)
funnum=16;
if funnum==1 %F1
f=abs(x)+cos(x);
elseif funnum==2 %F2
f=abs(x)+sin(x);
elseif funnum==3 %F3
f=x(:,1).^2+x(:,2).^2;
elseif funnum==4 %F4
f=100*(x(:,2).^2-x(:,1)).^2+(1-x(:,1)).^2;
elseif funnum==5 %F5
f(:,1)=sum(abs(x')-10*cos(sqrt(abs(10*x'))))';
elseif funnum==6 %F6
f=(x.^2+x).*cos(x);
elseif funnum==7 %F7
f=x(:,1).*sin(4*x(:,1))+1.1*x(:,2).*sin(2*x(:,2));
elseif funnum==8 %F8
f=x(:,2).*sin(4*x(:,1))+1.1*x(:,1).*sin(2*x(:,2));
elseif funnum==9 %F9
f(:,1)=x(:,1).^4+2*x(:,2).^4+randn(length(x(:,1)),1);
elseif funnum==10 %F10
f(:,1)=20+sum(x'.^2-10*cos(2*pi*x'))';
elseif funnum==11 %F11
f(:,1)=1+sum(abs(x').^2/4000)'-prod(cos(x'))';



elseif funnum==12 %F12
f(:,1)=.5+(sin(sqrt(x(:,1).^2+x(:,2).^2).^2)-.5)./(1+.1*(x(:,1).^2+x(:,2).^2));
elseif funnum==13 %F13
aa=x(:,1).^2+x(:,2).^2;
bb=((x(:,1)+.5).^2+x(:,2).^2).^0.1;
f(:,1)=aa.^0.25.*sin(30*bb).^2+abs(x(:,1))+abs(x(:,2));
elseif funnum==14 %F14
f(:,1)=besselj(0,x(:,1).^2+x(:,2).^2)+abs(1-x(:,1))/10+abs(1-x(:,2))/10;
elseif funnum==15 %F15
f(:,1)=-exp(.2*sqrt((x(:,1)-1).^2+(x(:,2)-1).^2)+(cos(2*x(:,1))+sin(2*x(:,1))));
elseif funnum==16 %F16
f(:,1)=x(:,1).*sin(sqrt(abs(x(:,1)-(x(:,2)+9))))-(x(:,2)+9).*sin(sqrt(abs(x(:,2)+0.5*x(:,1)+9)));
elseif funnum==17 %MOO function
x=x+1;
f(:,1)=(x(:,1)+x(:,2).^2+sqrt(x(:,3))+1./x(:,4))/8.5;
f(:,2)=(1./x(:,1)+1./x(:,2)+x(:,3)+x(:,4))/6;
end