ga_ex551.m

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% GA_ex551.m file
% Fin min of a function of 2 varaibles

% PenChen Chou, 8-12-2001

clear all
ans=1;
who
fprintf('>>>Start this program [GA_ex551.m] now. Please wait!\n');
pause(1)

global MIN_offset MUL_factor LOCUS x_data y_data

%**********************************************************/
%       User can modify the following in blocks
%**********************************************************/
LOCUS=1; x_data=[]; y_data=[];
MIN_offset=250; MUL_factor=1;
obj_fcn = 'GA_f551';	% Objective function
range = [-1 -1
        1 1];	% Range of the input variables
IC=[]; elite=1; 
gen_no=140;
popuSize=30;
bit_n=40;
xover_rate=0.77;
mutate_rate=0.01;

x=-1:0.01:1; y=x; [X,Y]=meshgrid(x,y);
Z=X.^2+Y.^2-0.3*cos(3*pi*X)-0.4*cos(4*pi*Y)+0.7;
figure(2);contour(X,Y,Z)
xlabel('x distribution')
ylabel('y distribution')
%************************************************************
% call GA written by Chang
tic
%GA_genetic(obj_fcn, range, IC, elite,...
% gen_no, popuSize, bit_n, xover_rate, mutate_rate);
[popu, popu_real, fcn_value, upper, average, lower, ...
        popuSize, gen_no] = GA_genetic(obj_fcn, range,...
        IC, elite, gen_no, popuSize, bit_n,...
        xover_rate, mutate_rate);
t=toc/60;
fprintf('==>  Computation time is (%.2f) minutes.\n\n',t);            
            
% Plot locus of optimization process
LAST=length(x_data);
figure(2); hold on
plot(x_data(1),y_data(1),'x');
plot(x_data,y_data);
plot(x_data(LAST),y_data(LAST),'o');
%plot(0,0,'*');   % The best position
hold off
title('*=BEST, x=Starting point, o=Ending point')