How to do a flip on an image after a rotation?

Question

JavaScript

Good afternoon!
There is such a situation. There is an image, it must be rotated, reflected vertically / horizontally. All this is done in canvas. When I do a vertical/horizontal flip on the original image, everything is ok. But when I rotate the picture, and then do a flip, nothing comes out (( What to do? What's the matter?
Code at http://jsfiddle.net/9hcp4/

Answer 1

jsfiddle.net/9hcp4/6/
something like this. it remains only to write countNewSize correctly)

Answer 2

Interestingly, everything works correctly in opera, but in ff it seems that something is wrong with the coordinates.