laboratory 3

clc;
clear;
xdel(winsid());

//data
e = [0 1 1 0];
x = [4 0.5 0 0.5; 4 0 0 0];
// weights and threshold random
w = [ rand() rand(); rand() rand() ];
T = [ 0 0 ];
v = [ rand() rand() ];
T_2 = 0;

alpha = 0.7; // learning step
Em = 0; // mean square error
h = 0.1;    // steps (x)

//training
done = %F;  // flag
loops = 0;
while done == %F do
    loops = loops + 1;
    Es(loops) = 0;
    for n = 1:4
        for i = 1:2
            Sum(i) = 0;
            for j = 1:2
                Sum(i) = Sum(i) + x(j, n)*w(j, i);
            end;
            Sum(i) = Sum(i) - T(i);
            y(i) = 1/(1+%e^(-Sum(i)));
        end;
        Sum2 = 0;
        for i = 1:2
            Sum2 = Sum2 + v(i) * y(i);
        end;
        Sum2 = Sum2 - T_2;
        z(n) = 1/(1+%e^(-Sum2)); //outputs
        for i = 1:2
            calc_v(loops, i) = v(i);
            v(i) = v(i) - alpha * (z(n) - e(n) * z(n) * (1 - z(n)) * y(i));

            for j = 1:2
                calc_w(loops, j, i) = w(j, i);
                w(j, i) = w(j, i) - alpha * (z(n) - e(n)) * z(n) * (1 - z(n)) * v(i) * y(i) * (1 - y(i)) * x(j, n);
            end;
            calc_T(loops, i) = T(i);
            T(i) = T(i) + alpha * (z(n) - e(n)) * z(n) * (1 - z(n)) * v(i) * y(i) * (1 - y(i));
        end;
        calc_T_2(loops) = T_2;
        T_2 = T_2 + alpha * (z(n) - e(n)) * z(n) * (1 - z(n));
        Es(loops) = Es(loops) + (z(n) - e(n))^2;
        printf('E = %f\n', Es(loops));
    end;
    Es(loops) = Es(loops)/2;

    if Es(loops) <= Em || loops > 1000
        done = %T;
    end;
end;
//learning
index = find(Es==min(Es));
printf('min(Es) = %f\n\n', Es(index));
for i = 1:2
    for j = 1:2
        printf('w(%d, %d) = %f\n', j, i, calc_w(index, j, i));
    end;
    printf('\n');
    printf('T(%d) = %f\n', i, calc_T(index, i));
    printf('v(%d) = %f\n', i, calc_v(index, i));
end;
printf('\nT = %f\n\n', calc_T_2(index));

//check your results
l=0;
while l==0 do
    printf('\Enter the coordinates of the point you want to check\n');
    pcheck = input("x = ");
    for i = 1:2
        Sum(i) = 0;
        for j = 1:2
            Sum(i) = Sum(i) + calc_w(index, j, i) * pcheck(j);
        end;
        Sum(i) = Sum(i) - calc_T(index, i);
        y(i) = 1/(1+%e^(-Sum(i)));
    end;
    Sum2 = 0;
    for i = 1:2
        Sum2 = Sum2 + calc_v(index, i) * y(i);
    end;
    Sum2= Sum2 - calc_T_2(index);
    result_0 = 1/(1+%e^(-Sum2));
    if result_0 > 0.5
        result = 1;
    else
        result = 0;
    end;
    printf('z = %f\n', result);
    printf('result = %f', result_0);
end;