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% ########################################## 
clear;
lambda= 1.064E-6 ;
Ltot= 1.010675025828971 ;
r0= 1.0E+100 ;
w0= 2.563E-5 ;
x0= 0 ;
focal_length1 = .075;
focal_length2 = .075;
focal_length3 = .203;

lns1.abcd=abcd_lens( focal_length1 ) ;
lns1.x= 0.21358727296049 ;
lns2.abcd=abcd_lens( focal_length2 ) ;
lns2.x= 0.40361319425309 ;
lns3.abcd=abcd_lens( focal_length3 ) ;
lns3.x= 0.80361319425309 ;
wf= 3.709E-5 ;
rf= 1.0E+100 ;
xf= Ltot;

q0=wr2q(w0,r0,lambda);
x0=0;
qf=wr2q(wf,rf,lambda);
xf=Ltot;

optics={lns1,lns2,lns3};
figure(1)
w_final_handmade = solution_visualization(q0,x0, qf, xf, optics, lambda);
title('Hand made');
% ########################################## 

%Initialize sample arrays
sample_energy = [];
sample_x = [];
lens_size = .03;

%Lens permutations
lens_permutations = perms( [ focal_length1, focal_length2, focal_length3 ]);
n_perms = size(lens_permutations,1);
n_shuffles=10;

for i = 1:n_perms
    
    
    lenses_choice=lens_permutations(i,:)
    
    for iteration = 1:n_shuffles
        optics_x_rand = sort(lens_size+(xf-2*lens_size)*rand(1,3));
        
        fitness_simplified=@(x) fitness(q0, qf, Ltot, x, lenses_choice );
        [x_sol, energy]=fminsearch(fitness_simplified, optics_x_rand, optimset('TolX',1e-8,'TolFun',1e-8,'MaxFunEvals',1e8,'MaxIter',2000));
        
        sample_energy = [sample_energy; energy];
        sample_x = [sample_x; x_sol];
        
        figure(2)
        solution_visualization(q0,x0, qf, xf, optics_placer(x_sol, lenses_choice), lambda);
        drawnow;
    end
    
end

[energy_min, index_of_energy_min] = min(sample_energy(:))
x_sol = sample_x(index_of_energy_min,:);
lenses_choice=lens_permutations(ceil(index_of_energy_min/n_shuffles),:);

figure(2)
w_final_trial = solution_visualization(q0,x0, qf, xf, optics_placer(x_sol, lenses_choice), lambda);
title('Optimized made');

w_final_handmade;
x_sol