% GA proba
clear
clc

% minimum and maximum values for the indipendent variable x
xMin=0; xMax=255;
x=xMin:xMax;
% number of individuals in the population
N=8;
% find the maximum of the following function
y=sin((pi*x)/256); 

% plot(x,y)
% axis([xMin-5 xMax+5 min(y)-0.05 max(y)+0.05])
% grid on
% hold on

y1=inline('sin((pi*x)/256)');
    % individuals in decimal form
%     indsDec=[189 216 99 236 174 74 35 53];
    indsDec=floor(511*rand(1,N));
    elitismRate=0.20;
%     currentPopulation=indsDec;
avgFitnessX=[];
iter=50;
iterPlot = iter;
while iter>0
    % individuals in binary form
    % indsBin=dec2bin(indsDec);
    [selectedInds, fitness, avgFitness]=selection(indsDec,y1,N);
    plotIt(indsDec,x,y,y1,fitness);
    recombinatedInds=recombination(indsDec,selectedInds,N);
    mutatedInds=mutation(recombinatedInds,N);
    reproductedInds=reproduction(indsDec, mutatedInds, elitismRate,y1,N);
    indsDec=reproductedInds;
    iter=iter-1;
    if iter==0
        break
    end
    avgFitnessX(end+1)=avgFitness;
    clf
end
figure,plot(avgFitnessX,'LineWidth',2), axis([0, iterPlot, 0, 1.05]), title('Performance'), xlabel('Genaration'), ylabel('Average fitness')
grid on