Trait alga::linear::Transformation

pub trait Transformation<E: EuclideanSpace>: MultiplicativeMonoid {
    fn transform_point(&self, pt: &E) -> E;
    fn transform_vector(&self, v: &E::Coordinates) -> E::Coordinates;
}

A general transformation acting on an euclidean space. It may not be inversible.

Required methods

fn transform_point(&self, pt: &E) -> E

Applies this group's action on a point from the euclidean space.

fn transform_vector(&self, v: &E::Coordinates) -> E::Coordinates

Applies this group's action on a vector from the euclidean space.

If v is a vector and a, b two point such that v = a - b, the action ∘ on a vector is defined as self ∘ v = (self × a) - (self × b).

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Implementors

impl<E: EuclideanSpace> Transformation<E> for Id

fn transform_point(&self, pt: &E) -> E

fn transform_vector(&self, v: &E::Coordinates) -> E::Coordinates

impl<R, E> Transformation<E> for R where
    R: RealField,
    E: EuclideanSpace<RealField = R>,
    E::Coordinates: ClosedMul<R> + ClosedDiv<R> + ClosedNeg, 

fn transform_point(&self, pt: &E) -> E

fn transform_vector(&self, v: &E::Coordinates) -> E::Coordinates

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