%1
w1 = [2 2; 3 1; 3 3; -1 -3; 4 2; -2 -2];
w2 = [0 0; -2 2; -1 -1; -4 2; -4 3; 2 6];
figure;
title(['\color{red}\fontsize{16}Plotting All Sample Points From Both Classes'])
hold on;
plot(w1(:,1),w1(:,2),'*','MarkerEdgeColor','b','MarkerSize',6);
hold on;
plot(w2(:,1),w2(:,2),'+','MarkerEdgeColor','r','MarkerSize',6);

xlim([-7 7]);
ylim([-7 7]);
xlabel('X');
ylabel('Y');
%2
y1=[ mean(w1)];
y2=[ mean(w2)];

plot(y1(:,1),y1(:,2),'*','MarkerFaceColor','b','MarkerSize',12);
plot(y2(:,1),y2(:,2),'+','MarkerFaceColor','r','MarkerSize',12);


%task2
W_R1 = randi([-10,10],10,1);
W_R2 = randi([-10,10],10,1);
figure;
title(['\color{red}\fontsize{16}Plotting All Sample Points From Random Class'])
hold on;
plot(W_R1(:,1),'*','MarkerEdgeColor','b','MarkerSize',6);
hold on;
plot(W_R2(:,1),'+','MarkerEdgeColor','r','MarkerSize',6);
xlim([-12 12]);
ylim([-12 12]);
xlabel('X');
ylabel('Y');
%file
fid = fopen('R.txt', 'w');
fwrite(fid, W_R1,W_R2);
fclose(fid);


% Sample points
x = [-1 -1; 3 2; -2 1; 8 2];

xlabel('X');
ylabel('Y');

for i = 1:length(x)
    g1x(i) = (x(i,:) * y1' - .5 * (y1 * y1'));
    g2x(i) = (x(i,:) * y2' - .5 * (y2 * y2'));
end

for i = 1:length(x)
    if g1x(i) > g2x(i)
        plot(x(i,1),x(i,2),'*','MarkerEdgeColor','b','MarkerSize',6);
        hold on;
    else if g1x(i) < g2x(i)

        plot(x(i,1),x(i,2),'+','MarkerEdgeColor','r','MarkerSize',6);
             hold on;
        end
    end
xlim([-10 10]);
ylim([-10 10]);
end