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[Reexported at the root of this crate.] Data structures for points and usual transformations (rotations, isometries, etc.)
Structs§
- Dual
Quaternion - A dual quaternion.
- Isometry
- A direct isometry, i.e., a rotation followed by a translation (aka. a rigid-body motion).
- OPoint
- A point in an euclidean space.
- Orthographic3
- A 3D orthographic projection stored as a homogeneous 4x4 matrix.
- Perspective3
- A 3D perspective projection stored as a homogeneous 4x4 matrix.
- Quaternion
- A quaternion. See the type alias
UnitQuaternion = Unit<Quaternion>for a quaternion that may be used as a rotation. - Reflection
- A reflection wrt. a plane.
- Rotation
- A rotation matrix.
- Scale
- A scale which supports non-uniform scaling.
- Similarity
- A similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.
- Transform
- A transformation matrix in homogeneous coordinates.
- Translation
- A translation.
Enums§
- TAffine
- Tag representing an affine
Transform. Its bottom-row is equal to(0, 0 ... 0, 1). - TGeneral
- Tag representing the most general (not necessarily inversible)
Transformtype. - TProjective
- Tag representing the most general inversible
Transformtype.
Traits§
- Abstract
Rotation - Trait implemented by rotations that can be used inside of an
IsometryorSimilarity. - SubT
Category Of - Indicates that
Selfis a more specificTransformcategory thanOther. - SuperT
Category Of - Indicates that
Selfis a more generalTransformcategory thanOther. - TCategory
- Trait implemented by phantom types identifying the projective transformation type.
- TCategory
Mul - Traits that gives the
Transformcategory that is compatible with the result of the multiplication of transformations with categoriesSelfandOther.
Type Aliases§
- Affine2
- A 2D affine transformation. Stored as a homogeneous 3x3 matrix.
- Affine3
- A 3D affine transformation. Stored as a homogeneous 4x4 matrix.
- Isometry2
- A 2-dimensional direct isometry using a unit complex number for its rotational part.
- Isometry3
- A 3-dimensional direct isometry using a unit quaternion for its rotational part.
- Isometry
Matrix2 - A 2-dimensional direct isometry using a rotation matrix for its rotational part.
- Isometry
Matrix3 - A 3-dimensional direct isometry using a rotation matrix for its rotational part.
- Point
- A point with
Delements. - Point1
- A statically sized 1-dimensional column point.
- Point2
- A statically sized 2-dimensional column point.
- Point3
- A statically sized 3-dimensional column point.
- Point4
- A statically sized 4-dimensional column point.
- Point5
- A statically sized 5-dimensional column point.
- Point6
- A statically sized 6-dimensional column point.
- Projective2
- An invertible 2D general transformation. Stored as a homogeneous 3x3 matrix.
- Projective3
- An invertible 3D general transformation. Stored as a homogeneous 4x4 matrix.
- Reflection1
- A 1-dimensional reflection.
- Reflection2
- A 2-dimensional reflection.
- Reflection3
- A 3-dimensional reflection.
- Reflection4
- A 4-dimensional reflection.
- Reflection5
- A 5-dimensional reflection.
- Reflection6
- A 6-dimensional reflection.
- Rotation2
- A 2-dimensional rotation matrix.
- Rotation3
- A 3-dimensional rotation matrix.
- Scale1
- A 1-dimensional scale.
- Scale2
- A 2-dimensional scale.
- Scale3
- A 3-dimensional scale.
- Scale4
- A 4-dimensional scale.
- Scale5
- A 5-dimensional scale.
- Scale6
- A 6-dimensional scale.
- Similarity2
- A 2-dimensional similarity.
- Similarity3
- A 3-dimensional similarity.
- Similarity
Matrix2 - A 2-dimensional similarity using a rotation matrix for its rotation part.
- Similarity
Matrix3 - A 3-dimensional similarity using a rotation matrix for its rotation part.
- Transform2
- A 2D general transformation that may not be invertible. Stored as a homogeneous 3x3 matrix.
- Transform3
- A 3D general transformation that may not be inversible. Stored as a homogeneous 4x4 matrix.
- Translation1
- A 1-dimensional translation.
- Translation2
- A 2-dimensional translation.
- Translation3
- A 3-dimensional translation.
- Translation4
- A 4-dimensional translation.
- Translation5
- A 5-dimensional translation.
- Translation6
- A 6-dimensional translation.
- Unit
Complex - A 2D rotation represented as a complex number with magnitude 1.
- Unit
Dual Quaternion - A unit dual quaternion. May be used to represent a rotation followed by a translation.
- Unit
Quaternion - A unit quaternions. May be used to represent a rotation.