MATLAB: Matlab problem – index out of bounds Reference

errorfirefly algorithm

I have a problem with matlab. When i run it, it shows
Attempted to access Lighto(13); index out of bounds because numel(Lighto)=12.
Error in firefly_simple (line 88) disp(['Iteration ' num2str(i) ': optimum value = ' num2str(Lighto(i))]);
Here is the code of my program, plz check it.
function [best]=firefly_simple(instr)
% n=number of fireflies
% MaxGeneration=number of pseudo time steps
if nargin<1, instr=[12 20]; end
n=instr(1); MaxGeneration=instr(2);
% Show info
help firefly_simple.m
if true
% code
end
% ------ Four peak functions ---------------------
str1='exp(-(x-4)^2-(y-4)^2)+exp(-(x+4)^2-(y-4)^2)';
str2='+2*exp(-x^2-(y+4)^2)+2*exp(-x^2-y^2)';
funstr=strcat(str1,str2);
% Converting to an inline function
f=vectorize(inline(funstr));
% range=[xmin xmax ymin ymax];
range=[-5 5 -5 5];
% ------------------------------------------------


alpha=0.2; % Randomness 0--1 (highly random)
gamma=1.0; % Absorption coefficient
delta=0.97; % Randomness reduction (similar to
%a = clock; % an annealing schedule)
% ------------------------------------------------
% Grid values are used for display only
Ngrid=100;
dx=(range(2)-range(1))/Ngrid;
dy=(range(4)-range(3))/Ngrid;
[x,y]=meshgrid(range(1):dx:range(2),...
range(3):dy:range(4));
z=f(x,y);
% Display the shape of the objective function
figure(1); surfc(x,y,z);
% ------------------------------------------------
% generating the initial locations of n fireflies
[xn,yn,Lightn]=init_ffa(n,range);
% Display the paths of fireflies in a figure with
% contours of the function to be optimized
figure(2);
% Iterations or pseudo time marching
for i=1:MaxGeneration,
%%%%%start iterations
% Show the contours of the function
contour(x,y,z,15); hold on;
% Evaluate new solutions
zn=f(xn,yn);
% Ranking the fireflies by their light intensity
[Lightn,Index]=sort(zn);
xn=xn(Index); yn=yn(Index);
xo=xn; yo=yn; Lighto=Lightn;
% Trace the paths of all roaming fireflies
plot(xn,yn,'.','markersize',10,'markerfacecolor','g');
% Move all fireflies to the better locations
[xn,yn]=ffa_move(xn,yn,Lightn,xo,yo,Lighto,alpha,gamma,range);
drawnow;
% Use "hold on" to show the paths of fireflies
hold off;
disp(['Iteration ' num2str(i) ': optimum value = ' num2str(Lighto(i))]);
% Reduce randomness as iterations proceed
%alpha=alpha_new(alpha,MaxGeneration);
alpha=newalpha(alpha,delta);
% etime(clock,a)
end %%%%%end of iterations
best(:,1)=xo'; best(:,2)=yo'; best(:,3)=Lighto';
%%Results
figure;
plot(Lighto,'LineWidth',2);
%semilogy(Lighto,'LineWidth',2);
xlabel('Iteration');
ylabel('optimum value');
grid on;
% ----- All subfunctions are listed here ---------
% The initial locations of n fireflies
function [xn,yn,Lightn]=init_ffa(n,range)
xrange=range(2)-range(1);
yrange=range(4)-range(3);
xn=rand(1,n)*xrange+range(1);
yn=rand(1,n)*yrange+range(3);
Lightn=zeros(size(yn));
% Move all fireflies toward brighter ones
function [xn,yn]=ffa_move(xn,yn,Lightn,xo,yo,...
Lighto,alpha,gamma,range)
ni=size(yn,2); nj=size(yo,2);
for i=1:ni,
% The attractiveness parameter beta=exp(-gamma*r)
for j=1:nj,
r=sqrt((xn(i)-xo(j))^2+(yn(i)-yo(j))^2);
if Lightn(i)<Lighto(j), % Brighter and more attractive
beta0=1; beta=beta0*exp(-gamma*r.^2);
xn(i)=xn(i).*(1-beta)+xo(j).*beta+alpha.*(rand-0.5);
yn(i)=yn(i).*(1-beta)+yo(j).*beta+alpha.*(rand-0.5);
end
end % end for j
end % end for i
[xn,yn]=findrange(xn,yn,range);
% Reduce the randomness during iterations
function alpha=newalpha(alpha,delta)
alpha=alpha*delta;
% Make sure the fireflies are within the range
function [xn,yn]=findrange(xn,yn,range)
for i=1:length(yn),
if xn(i)<=range(1), xn(i)=range(1); end
if xn(i)>=range(2), xn(i)=range(2); end
if yn(i)<=range(3), yn(i)=range(3); end
if yn(i)>=range(4), yn(i)=range(4); end
end
% ============== end =====================================

Best Answer

The error message is telling you that you are trying to access the 13th element from an array, Lighto, which only has twelve elements. I think that your n and MaxGeneration need to be identical. n is used to generate xn, yn, and Lightn as
[xn,yn,Lightn]=init_ffa(n,range);
and MaxGeneration is used in your for loop as
for i=1:MaxGeneration
where i is used to access Lighto (which has been initialized from Lightn)
disp(['Iteration ' num2str(i) ': optimum value = ' num2str(Lighto(i))]);
Try making the two identical i.e.
MaxGeneration = n;
Also note that it is good practice to avoid using i and j as indexing variables as MATLAB also uses these to represent the imaginary number.