@Ankur another thing I noticed was that you define some inputs as restricted to 
being positive. I think we can build it so that we give the user as much 
freedom as possible with inputs. We can have it automatically reduce mod 2pi 
(or 360°) and make it the lowest positive representation of the angles. This 
way the user doesn't have to compute this. Still reading through, but just an 
initial thought!

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