Numerical Stability

This issue came up at work today, I thought ya /prog/ peeps might have some info.

So what do ya'll know about the numerical stability of rotations with, matrices, euler angles, and quaterions.

Also what do you know about the methods for interpolating rotations, and which method maintains numerical stability across the interpolation operation.

>>27
We cannot represent with full accuracy an irrational number on the computer
WTF

I can represent an irrational number, such as "sqrt(5)", in many ways, and write functions to operate with it. There are many programs who work with irrational numbers without using floating point.