Trait alga::linear::Similarity

pub trait Similarity<E: EuclideanSpace>: Group<Multiplicative> {
    type Translation: Translation<E>;
    type Rotation: Rotation<E>;
    fn translation(&self) -> Self::Translation;
    fn rotation(&self) -> Self::Rotation;
    fn scaling_factor(&self) -> E::Real;
}

The group S(n) of similarities, i.e., rotations, translations, and (signed) uniform scaling.

Similarities map lines to lines and preserve angles.

Associated Types

type Translation: Translation<E>

The type of the pure translation part of this similarity.

type Rotation: Rotation<E>

The type of the pure rotational part of this similarity.

Required Methods

fn translation(&self) -> Self::Translation

The translational component of this similarity.

fn rotation(&self) -> Self::Rotation

The rotational component of this similarity.

fn scaling_factor(&self) -> E::Real

The scaling factor of this similarity.

Implementors