Close example code fences and normalize containing head line in touched files.
Remove stale reference to `slice_assume_init` (commit 8c6ebf27), fix long dead internal links in deprecation notices.
Solves #1013.
Previously, when screw-linearly interpolating two unit dual quaternions
that had an identical orientation, `try_sclerp` would return `None`, as
the operation would introduce a division-by-zero.
This PR splits out the cases where two unit dual quaternions have an
identical orientation from the cases where they have opposite
orientations. In the case where they have identical orientations, the
operation is well-defined, but the exponential parameterization could
not handle it without introducing NaNs. Therefore, the function detects
this case and simply defaults to linearly interpolating the
translational components and using one of the two inputs' rotation
components.
The case where the inputs have opposite rotations is now detected
separately using the dot product of the real (rotation) parts, which was
already being computed anyway.
Also introduces proptests for these specific scenarios, to avoid any
regression.
This was inconsistently applied, with some types having <T>, some having
<T: Scalar>, and some having <T: RealField>.
This unifies all types to match the convention of Matrix:
Just declare <T> at type def time, and apply bounds on impls only.
A significant advantage of this approach is const fn construction. Const
fn generics currently still can't have trait bounds, so any generic
const fn needs to only move opaque types around. Construction methods
such as new_unchecked or from_parts can be made const by removing their
generic bounds after this PR.
Actual constification is left to a follow-up PR.
Note that na::Transform is _not_ loosened here, as it has more complicated
definition requirements.
This implements `UnitDualQuaternion` as an alternative to `Isometry3`
for representing 3D isometries, which also provides the `sclerp`
operation which can be used to perform screw-linear interpolation
between two unit dual quaternions.
