Sorting polygon's points

I have a convex polygon ABCDE... (it can have any number of points). I need to sort all its vertexes so none of the edges will intersect.
example:

A _____ B
  \   /
   \ /
    X
   / \
  /___\
C       D

That polygon in ABCD order has intersecting edges. however in ABDC order:

A _____ B
  |   |
  |   |
  |   |
  |   |
  |___|
C       D

None of the edges intersect so ABDC is the expected output.

How can I do this?