Because of the unfortunate changes on type parameters resolution:
- the Dim trait now needs an useless parameter to infer the Self type.
- ApproxEps::epsilon() is broken.
The goal is to make traits less fine-grained for vectors, and reduce the amount of `use`.
- Scalar{Mul, Div} are removed, replaced by Mul<N, V> and Div<N, V>,
- Ring and DivisionRing are removed. Use Num instead.
- VectorSpace, Dot, and Norm are removed, replaced by the new, higher-level traits.
Add four traits:
- Vec: common operations on vectors. Replaces VectorSpace and Dot.
- AlgebraicVec: Vec + the old Norm trait.
- VecExt: Vec + every other traits vectors implement.
- AlgebraicVecExt: AlgebraicVec + VecExt.
Before, the `look_at` method aligned the `z` axis with the look_at direction.
This will be problematic in the future if we want to generalize that on n-dimension (the z axis
could not axis at all when n < 3).
Now, the `look_at` method aligns the `x` axis with the look_at direction. Thus we have a chance for
it to be generalizable on n-dimension, `n >= 1`.
Added look_at for 3d rotation matrix and 3d transform.
Rotation matrices constructors are now the static methods Rotmat::from_angle,
Rotmat::from_axis_angle.
Now, access to vector components are x, y, z, w, a, b, ... instead of at[i].
The method at(i) has the same (read only) effect as the old at[i].
Now, access to matrix components are m11, m12, ... instead of mij[offset(i, j)]...
The method at((i, j)) has the same effect as the old mij[offset(i, j)].
Automatic implementation of all traits the compiler supports has been added on the #[deriving]
clause for both matrices and vectors.
Column: to access a matrix column.
Homogeneous: to convert a matrix/vector from/to homogenous coordinates.
Indexable: to access a matrix/vector element using indices.
