This patch re-implement the whole C rotation API into a more type
oriented C++ API. See the #104444 design task for more details about
the goals.
The list of C to C++ equivalent syntax can be found attached.
This adds `AngleRadian`, `AngleCartesian` and `AngleFraction` as
different angle types with the same interface. Each of them have
specific benefits / cons. See inline documentation for detail.
This adds `Axis` and `AxisSigned` class wrapped enums to increase type
safety with axes selection.
This adds `CartesianBasis` to represent orthonormal orientations.
Added a weight accumulation to dual-quaternions to make normalization
error proof. Creates the overhead of summing the total weight twice
(which I think is negligible) and add an extra float.
Named the dual-quaternion `DualQuaternion` to avoid naming ambiguity
with `DualQuat` which come up quite often (even with namespace).
Pull Request: https://projects.blender.org/blender/blender/pulls/104941
28a581d6cb