引力搜索算法（GSA ）源代码+23个经典测试函数

% GSA code v1.1. % Generated by Esmat Rashedi, 2010. % " E. Rashedi, H. Nezamabadi-pour and S. Saryazdi, %�GSA: A Gravitational Search Algorithm�, Information sciences, vol. 179, %no. 13, pp. 2232-2248, 2009." % % This function calculates the value of the objective function. function fit=test_functions(L,F_index,dim) %Insert your own objective function with a new F_index. if F_index==1 fit=sum(L.^2); end if F_index==2 fit=sum(abs(L))+prod(abs(L)); end if F_index==3 fit=0; for i=1:dim fit=fit+sum(L(1:i))^2; end end if F_index==4 fit=max(abs(L)); end if F_index==5 fit=sum(100*(L(2:dim)-(L(1:dim-1).^2)).^2+(L(1:dim-1)-1).^2); end if F_index==6 fit=sum(floor((L+.5)).^2); end if F_index==7 fit=sum([1:dim].*(L.^4))+rand; end if F_index==8 fit=sum(-L.*sin(sqrt(abs(L)))); end if F_index==9 fit=sum(L.^2-10*cos(2*pi.*L))+10*dim; end if F_index==10 fit=-20*exp(-.2*sqrt(sum(L.^2)/dim))-exp(sum(cos(2*pi.*L))/dim)+20+exp(1); end if F_index==11 fit=sum(L.^2)/4000-prod(cos(L./sqrt([1:dim])))+1; end if F_index==12 fit=(pi/dim)*(10*((sin(pi*(1+(L(1)+1)/4)))^2)+sum((((L(1:dim-1)+1)./4).^2).*... (1+10.*((sin(pi.*(1+(L(2:dim)+1)./4)))).^2))+((L(dim)+1)/4)^2)+sum(Ufun(L,10,100,4)); end if F_index==13 fit=.1*((sin(3*pi*L(1)))^2+sum((L(1:dim-1)-1).^2.*(1+(sin(3.*pi.*L(2:dim))).^2))+... ((L(dim)-1)^2)*(1+(sin(2*pi*L(dim)))^2))+sum(Ufun(L,5,100,4)); end if F_index==14 aS=[-32 -16 0 16 32 -32 -16 0 16 32 -32 -16 0 16 32 -32 -16 0 16 32 -32 -16 0 16 32;,... -32 -32 -32 -32 -32 -16 -16 -16 -16 -16 0 0 0 0 0 16 16 16 16 16 32 32 32 32 32]; for j=1:25 bS(j)=sum((L'-aS(:,j)).^6); end fit=(1/500+sum(1./([1:25]+bS))).^(-1); end if F_index==15 aK=[.1957 .1947 .1735 .16 .0844 .0627 .0456 .0342 .0323 .0235 .0246]; bK=[.25 .5 1 2 4 6 8 10 12 14 16];bK=1./bK; fit=sum((aK-((L(1).*(bK.^2+L(2).*bK))./(bK.^2+L(3).*bK+L(4)))).^2); end if F_index==16 fit=4*(L(1)^2)-2.1*(L(1)^4)+(L(1)^6)/3+L(1)*L(2)-4*(L(2)^2)+4*(L(2)^4); end if F_index==17 fit=(L(2)-(L(1)^2)*5.1/(4*(pi^2))+5/pi*L(1)-6)^2+10*(1-1/(8*pi))*cos(L(1))+10; end if F_index==18 fit=(1+(L(1)+L(2)+1)^2*(19-14*L(1)+3*(L(1)^2)-14*L(2)+6*L(1)*L(2)+3*L(2)^2))*... (30+(2*L(1)-3*L(2))^2*(18-32*L(1)+12*(L(1)^2)+48*L(2)-36*L(1)*L(2)+27*(L(2)^2))); end if F_index==19 aH=[3 10 30;.1 10 35;3 10 30;.1 10 35];cH=[1 1.2 3 3.2]; pH=[.3689 .117 .2673;.4699 .4387 .747;.1091 .8732 .5547;.03815 .5743 .8828]; fit=0; for i=1:4 fit=fit-cH(i)*exp(-(sum(aH(i,:).*((L-pH(i,:)).^2)))); end end if F_index==20 aH=[10 3 17 3.5 1.7 8;.05 10 17 .1 8 14;3 3.5 1.7 10 17 8;17 8 .05 10 .1 14]; cH=[1 1.2 3 3.2]; pH=[.1312 .1696 .5569 .0124 .8283 .5886;.2329 .4135 .8307 .3736 .1004 .9991;... .2348 .1415 .3522 .2883 .3047 .6650;.4047 .8828 .8732 .5743 .1091 .0381]; fit=0; for i=1:4 fit=fit-cH(i)*exp(-(sum(aH(i,:).*((L-pH(i,:)).^2)))); end end aSH=[4 4 4 4;1 1 1 1;8 8 8 8;6 6 6 6;3 7 3 7;2 9 2 9;5 5 3 3;8 1 8 1;6 2 6 2;7 3.6 7 3.6]; cSH=[.1 .2 .2 .4 .4 .6 .3 .7 .5 .5]; if F_index==21 fit=0; for i=1:5 fit=fit-((L-aSH(i,:))*(L-aSH(i,:))'+cSH(i))^(-1); end end if F_index==22 fit=0; for i=1:7 fit=fit-((L-aSH(i,:))*(L-aSH(i,:))'+cSH(i))^(-1); end end if F_index==23 fit=0; for i=1:10 fit=fit-((L-aSH(i,:))*(L-aSH(i,:))'+cSH(i))^(-1); end end function y=Ufun(x,a,k,m) y=k.*((x-a).^m).*(x>a)+k.*((-x-a).^m).*(x<(-a)); return