How to implement the factory method pattern in C++ correctly

Question

There\'s this one thing in C++ which has been making me feel uncomfortable for quite a long time, because I honestly don\'t know how to do it, even though it sounds simple:<

Answer 1

Factory Pattern

class Point
{
public:
  static Point Cartesian(double x, double y);
private:
};

And if you compiler does not support Return Value Optimization, ditch it, it probably does not contain much optimization at all...