@Gabriel

From your answer I understand that, the uniform distributed values are generated seperately for x and y axis. Then both should be combined to form a point over a plane.

@Norbert i think this could do uniform distribution only over one co-ordinates. I am assuming you want to sample a point uniformly at random from a rectangular subset of the plane with the sides of the rectangle parallel to the axes. If not, the problem is a little more complex, but still soluble. However, for a square of size 1 Norbert is correct. The extension to a general rectangle is simple - just use two uniform_real_distributions (this will also give you floating point numbers as per your first post). Calls to two different uniform_real_distributions (or successive calls to one object) using the same engine object will give a point uniformly distributed in the rectangle. You are correct to point out that the individual coordinates are also uniformly distributed, but since they are independent they also yield a uniformly distributed point on the rectangle. Robert