Coordinate systems

[Spammed]

I dream of a library to work with location vectors, more precisely to deal with coordinate systems of various kinds.
Shifted and twisted, cartesian, cylindrical or spherical coordinates and whatever else you can think of.

[reference point + distance vector] I interpret as a step in this direction.

However, I think more ingredients are needed to describe general coordinate systems, e.g.:
a) reference point & reference orientation (maybe called 'coordinate frame'),
b) type resp. a set of basis vectors (maybe called 'metric')
c) coordinate vector resp. a set of coefficents.

There is certainly enough complexity in changing from one coordinate system to another cheap & smoothly to populate an own library.
This may stand then gladly on the mp-units V2 shoulders.

Are there any ideas for this?
Does anyone know a nice C++ library in this direction?

[JohelEGP]

I'm slowly building up my own.
I'll share what I have when I publish it.

[Spammed]

Issue #195 (or even #99) can be understood as the call for a representation in such a system (namely polar coordinates), right?