Generate random moving nodes inside two intersecting circle

Hi everyone, I am trying to generate random points inside a circle given the radius and the center. If anyone has a sample code or can help me with this. thanks.

Answer 1

[KSSV]

clc; clear all ;
N1 = 100 ; N2 = 50 ;
th = linspace(0,2*pi,N1)' ;
r1 = 1. ; r2 = 1. ;   % radii of circles 
c1 = [0 0] ;          % center of first cirlce 
c2 = [1.5 0] ;        % center of second circle 

a1 = repmat(c1,[N1 1])+[r1*cos(th)  r1*sin(th)] ;
a2 = repmat(c2,[N1 1])+[r2*cos(th)  r2*sin(th)] ;
%
plot(a1(:,1),a1(:,2),'r') ;
hold on
plot(a2(:,1),a2(:,2),'r') ;
axis equal
%%Get points of fitst circle lying in second circle
in12 = inpolygon(a1(:,1),a1(:,2),a2(:,1),a2(:,2)) ;
P1 = a1(in12,:) ;
plot(a1(in12,1),a1(in12,2),'.b') ;
%%Get points of second circle lying in first circle
in21 = inpolygon(a2(:,1),a2(:,2),a1(:,1),a1(:,2)) ;
P2 = a2(in21,:) ;
plot(a2(in21,1),a2(in21,2),'.b') ;
%%form the oval / intersection boundary 
R = [P1 ;P2] ;
%%Form a suare grid around ovel region 
x = linspace(c1(1),c2(1),N2) ;
y = linspace(-r1,r2,N2) ;
[X,Y] = meshgrid(x,y) ;
XX = X(:) ; YY = Y(:) ;
%%Get the random points  inside the region 
l = 1 ;
ax = min(R(:,1)) ; bx = max(R(:,1)) ;
ay = min(R(:,2)) ; by = max(R(:,2)) ;
while l ==1 
      x = (bx-ax).*rand(1,1) + ax;
      y = (by-ay).*rand(1,1) + ay;
    in = inpolygon(x,y,R(:,1),R(:,2)) ;
    if in 
        plot(x,y,'.g') ;
        drawnow
    end
end

[Akande Oluwole]

Thanks

Answer 2

[KSSV]

clc; clear all ;
C = [0 0] ;  % center of the circle 
R = 1. ;     % Radius of the circle 
N = 100 ;
th =linspace(0,2*pi) ;
xc = C(1)+R*cos(th) ;
yc = C(2)+R*sin(th) ;
plot(xc,yc,'b') ;
hold on
axis equal
% Generate random numbers using polar coordinates 
for i = 1:N
    r = R * sqrt(rand(1,1)) ;
    theta = 2 * pi * rand(1,1) ;
    x = r * cos(theta) ;
    y = r * sin(theta) ;
    plot(x,y,'.r')
    drawnow
end

[Akande Oluwole]

Thanks for the help, but the solution is only for a circle. The problem is not yet solved. The random nodes must be inside two intersecting circles of the same radius

[KSSV]

Two circles have different center? You have two circles of same radii and they intersect..you will get a oval shape, you want random numbers inside this? Ask question clearly.

[Akande Oluwole]

Yes, 1. two circles with different center, 2. having the same radius 3. both intersecting such that the distance between the two centers is greater than the radius. 4. nodes randomly generated inside the two circles and the intersecting area.