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Interesting! Does anyone know of any C/C++ libraries that implement this? And perhaps some solid performance numbers runnings the different solutions?

This all makes me think of the awesome performance enhancement videos for Super Mario 64 by Kaze Emanuar!

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For code at least. Makes sense. For maths I think radians are more elegant but you don't have to worry about speed or precision there.

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Turns are Better than Radians | Spyke