Given two degrees on a 360 degree circle. Lets call them Source and Destination.
For example Source could be 120 degrees and Destination could be 30 degrees.
Is there an elegant solution to the question of which direction of travel from Source to Destination is shorter, i.e. is it shorter clockwise (increasing the degrees) or anti clockwise (decreasing the degrees)?
For example with the degrees given above then the solution would be: Go anti clockwise. On the other hand with Source as 350 and Destination as 20 then the solution would be: Go clockwise.
Compute the difference, then normalise it to +/-180. Positive numbers indicate travel in the direction of increasing angle (clockwise in your case).