Module nalgebra::geometry

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

Structs

IsometryBase	A direct isometry, i.e., a rotation followed by a translation.
OrthographicBase	A 3D orthographic projection stored as an homogeneous 4x4 matrix.
PerspectiveBase	A 3D perspective projection stored as an homogeneous 4x4 matrix.
PointBase	A point in a n-dimensional euclidean space.
QuaternionBase	A quaternion. See the type alias UnitQuaternionBase = Unit<QuaternionBase> for a quaternion that may be used as a rotation.
RotationBase	A rotation matrix.
SimilarityBase	A similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.
TransformBase	A transformation matrix in homogeneous coordinates.
TranslationBase	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

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 Definitions

Affine	A D-dimensional affine transformation. Stored as an homogeneous (D + 1) × (D + 1) matrix.
Affine2	A 2D affine transformation. Stored as an homogeneous 3x3 matrix.
Affine3	A 3D affine transformation. Stored as an homogeneous 4x4 matrix.
Isometry	A D-dimensional isometry.
Isometry2	A 2-dimensional isometry using a unit complex number for its rotational part.
Isometry3	A 3-dimensional isometry using a unit quaternion for its rotational part.
IsometryMatrix2	A 2-dimensional isometry using a rotation matrix for its rotation part.
IsometryMatrix3	A 3-dimensional isometry using a rotation matrix for its rotation part.
Orthographic3	A 3D orthographic projection stored as a static homogeneous 4x4 matrix.
OwnedIsometryBase	An isometry that uses a data storage deduced from the allocator A.
OwnedPoint	A point with an owned storage.
OwnedQuaternionBase	A quaternion with an owned storage allocated by A.
OwnedRotation	A rotation matrix with an owned storage.
OwnedSimilarityBase	A similarity that uses a data storage deduced from the allocator A.
OwnedTransform	A transformation matrix that owns its data.
OwnedTranslation	A translation with an owned vector storage.
OwnedUnitQuaternionBase	A unit quaternion with an owned storage allocated by A.
Perspective3	A 3D perspective projection stored as a static homogeneous 4x4 matrix.
Point	A statically sized D-dimensional column point.
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.
PointMul	The type of the result of the multiplication of a point by a matrix.
PointSum	The type of the result of the sum of a point with a vector.
Projective	An inversible D-dimensional general transformation. Stored as an homogeneous (D + 1) × (D + 1) matrix.
Projective2	An inversible 2D general transformation. Stored as an homogeneous 3x3 matrix.
Projective3	An inversible 3D general transformation. Stored as an homogeneous 4x4 matrix.
Quaternion	A statically-allocated quaternion.
Rotation	A D-dimensional rotation matrix.
Rotation2	A 2-dimensional rotation matrix.
Rotation3	A 3-dimensional rotation matrix.
Similarity	A D-dimensional similarity.
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.
Transform	A D-dimensional general transformation that may not be inversible. Stored as an homogeneous (D + 1) × (D + 1) matrix.
Transform2	A 2D general transformation that may not be inversible. Stored as an homogeneous 3x3 matrix.
Transform3	A 3D general transformation that may not be inversible. Stored as an homogeneous 4x4 matrix.
Translation	A D-dimensional translation.
Translation2	A 2-dimensional translation.
Translation3	A 3-dimensional translation.
UnitComplex	A complex number with a norm equal to 1.
UnitQuaternion	A statically-allocated unit quaternion.
UnitQuaternionBase	A unit quaternions. May be used to represent a rotation.