How to I generate random numbers inside a rectangle at an angle?
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Let (x0,y0) be coordinates of one of the rectangle's corners, and let one of its sides stretching from this corner to another corner be of length a and making an angle of theta radians with respect to the x-axis. Let another side be of length b stretching from (x0,y0) at a counterclockwise right angle to the first side. Finally suppose you want n random points within that rectangle. Then do this:
X = a*rand(n,1); Y = b*rand(n,1); x = x0 + X*cos(theta) - Y*sin(theta); y = y0 + X*sin(theta) + Y*cos(theta); plot(x,y,'y.') axis equal % <-- Keep the x and y axes scale factors equal