Retrograde and inversion clefs

[guoguocuozuoduo]

Hi all,
 
I am working on a piece that uses reversed and inverted clefs which indicate retrograde and inversion.
The reversed clef is placed at the end of a line to indicate retrograde; the inverted clef is placed before the main clef to indicate inversion.
 
How can I achieve this in Lilypond?
 
Any help would be much appreciated.
 
Attached is a picture to demonstrate what I would like to achieve.
 

canon.png
Description: PNG image