Module geometry

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

Structs

• DualQuaternion
  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) Transform type.
• TProjective
  Tag representing the most general inversible Transform type.

Traits

• AbstractRotation
  Trait implemented by rotations that can be used inside of an Isometry or Similarity.
• SubTCategoryOf
  Indicates that Self is a more specific Transform category than Other.
• SuperTCategoryOf
  Indicates that Self is a more general Transform category than Other.
• TCategory
  Trait implemented by phantom types identifying the projective transformation type.
• TCategoryMul
  Traits that gives the Transform category that is compatible with the result of the multiplication of transformations with categories Self and Other.

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.
• IsometryMatrix2
  A 2-dimensional direct isometry using a rotation matrix for its rotational part.
• IsometryMatrix3
  A 3-dimensional direct isometry using a rotation matrix for its rotational part.
• Point
  A point with D elements.
• 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.
• SimilarityMatrix2
  A 2-dimensional similarity using a rotation matrix for its rotation part.
• SimilarityMatrix3
  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.
• UnitComplex
  A 2D rotation represented as a complex number with magnitude 1.
• UnitDualQuaternion
  A unit dual quaternion. May be used to represent a rotation followed by a translation.
• UnitQuaternion
  A unit quaternions. May be used to represent a rotation.