MATLAB: I am working code to create the hexagon with a circle in it and to create the random points in hexagon and circle separately.

random circle

i am working on a code to create the hexagon with a circle in it and to create the random points in hexagon and circle separately. please help me how can i create random points in hexagon and circle separately.and they should remain in their boundaries. below is the graph of my code uptil now.

Best Answer

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Here is how I would do it:
hex_ang = linspace(0, 2*pi, 7);                                             % Define Hexagon
crc_ang = linspace(0, 2*pi);                                                % Define Circle
hex_r = 1.0;                                                                % Hexagon Radius
crc_r = 0.7;                                                                % Circle Radius
hex_xy = [hex_r*cos(hex_ang); hex_r*sin(hex_ang)];                          % Hexagon Coordinates
crc_xy = [crc_r*cos(crc_ang); crc_r*sin(crc_ang)];                          % Circle Coordinates
all_pts = 1-2*rand(2, 500);                                                 % Create Points
crc_ix = inpolygon(all_pts(1,:), all_pts(2,:), crc_xy(1,:), crc_xy(2,:));   % Points In Circle
hex_ix = inpolygon(all_pts(1,:), all_pts(2,:), hex_xy(1,:), hex_xy(2,:));   % Points In Hexagon
hex_in = setdiff(find(hex_ix), find(crc_ix));                               % Indices Of Points In Hexagon But Not In Circle
crc_in = crc_ix;                                                            % Indices Of Points In Circle
crc_in = [all_pts(1,crc_in); all_pts(2,crc_in)];                            % Points In Circle Only
hex_in = [all_pts(1,hex_in); all_pts(2,hex_in)];                            % Points In Hexagon Only
figure(1)
plot(hex_xy(1,:), hex_xy(2,:))
hold on
plot(crc_xy(1,:), crc_xy(2,:))
plot(crc_in(1,:), crc_in(2,:), 'cp')
plot(hex_in(1,:), hex_in(2,:), 'mp')
hold off
axis([-1.0  1.0    -1.0  1.0])
axis equal
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