Daggerfall Mod:Angle Mathematics

Daggerfall uses integer math as much as possible; there are very few floating point operations present in the game. Angle mathematics are also computed using integers. In Daggerfall, angles are represented as 16-bit integers (Int16) and are referred to as "Daggerfall Angles", or Da, where π is represented as 1024. This means 2048Da is 360°, or 2π radians.

When working with Daggerfall Angles using modern matrix-based techniques, one will most likely first need to convert between Da and radians.

Useful Constants

π Da	π radians	π Degrees
1024	3.14159265358979	180
Da/Radian	Radian/Da	Da/Degree
325.949323452202	0.00306796157577128	5.68888888888889