[gorkish]

This is more or less "the point" for those of us who argue for tau instead of pi.

I should note that using this "trick" of prescaling rotations by 2pi so that they are in the 0..1 range is de rigueur in computer graphics programming.

[JdeBP]

For goodness' sake, don't tell Matt Parker that one can write computer programs where 2π is rescaled to 1!

We'll never hear the end of it. There'll be some Python program that takes four months to calculate 1.00000000000000000000000000000001 . (-: