## Expand description

[Reexported at the root of this crate.] Data structures for points and usual transformations (rotations, isometries, etc.)

## Structs

- A dual quaternion.
- A direct isometry, i.e., a rotation followed by a translation (aka. a rigid-body motion).
- A point in an euclidean space.
- A 3D orthographic projection stored as a homogeneous 4x4 matrix.
- A 3D perspective projection stored as a homogeneous 4x4 matrix.
- A quaternion. See the type alias
`UnitQuaternion = Unit<Quaternion>`

for a quaternion that may be used as a rotation. - A reflection wrt. a plane.
- A rotation matrix.
- A scale which supports non-uniform scaling.
- A similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.
- A transformation matrix in homogeneous coordinates.
- A translation.

## Enums

- Tag representing an affine
`Transform`

. Its bottom-row is equal to`(0, 0 ... 0, 1)`

. - Tag representing the most general (not necessarily inversible)
`Transform`

type. - Tag representing the most general inversible
`Transform`

type.

## Traits

- Trait implemented by rotations that can be used inside of an
`Isometry`

or`Similarity`

. - Indicates that
`Self`

is a more specific`Transform`

category than`Other`

. - Indicates that
`Self`

is a more general`Transform`

category than`Other`

. - Trait implemented by phantom types identifying the projective transformation type.
- Traits that gives the
`Transform`

category that is compatible with the result of the multiplication of transformations with categories`Self`

and`Other`

.

## Type Aliases

- A 2D affine transformation. Stored as a homogeneous 3x3 matrix.
- A 3D affine transformation. Stored as a homogeneous 4x4 matrix.
- A 2-dimensional direct isometry using a unit complex number for its rotational part.
- A 3-dimensional direct isometry using a unit quaternion for its rotational part.
- A 2-dimensional direct isometry using a rotation matrix for its rotational part.
- A 3-dimensional direct isometry using a rotation matrix for its rotational part.
- A point with
`D`

elements. - A statically sized 1-dimensional column point.
- A statically sized 2-dimensional column point.
- A statically sized 3-dimensional column point.
- A statically sized 4-dimensional column point.
- A statically sized 5-dimensional column point.
- A statically sized 6-dimensional column point.
- An invertible 2D general transformation. Stored as a homogeneous 3x3 matrix.
- An invertible 3D general transformation. Stored as a homogeneous 4x4 matrix.
- A 1-dimensional reflection.
- A 2-dimensional reflection.
- A 3-dimensional reflection.
- A 4-dimensional reflection.
- A 5-dimensional reflection.
- A 6-dimensional reflection.
- A 2-dimensional rotation matrix.
- A 3-dimensional rotation matrix.
- A 1-dimensional scale.
- A 2-dimensional scale.
- A 3-dimensional scale.
- A 4-dimensional scale.
- A 5-dimensional scale.
- A 6-dimensional scale.
- A 2-dimensional similarity.
- A 3-dimensional similarity.
- A 2-dimensional similarity using a rotation matrix for its rotation part.
- A 3-dimensional similarity using a rotation matrix for its rotation part.
- A 2D general transformation that may not be invertible. Stored as a homogeneous 3x3 matrix.
- A 3D general transformation that may not be inversible. Stored as a homogeneous 4x4 matrix.
- A 1-dimensional translation.
- A 2-dimensional translation.
- A 3-dimensional translation.
- A 4-dimensional translation.
- A 5-dimensional translation.
- A 6-dimensional translation.
- A 2D rotation represented as a complex number with magnitude 1.
- A unit dual quaternion. May be used to represent a rotation followed by a translation.
- A unit quaternions. May be used to represent a rotation.