Trait alga::linear::Transformation

pub trait Transformation<E: EuclideanSpace>: Group<Multiplicative> {
    fn transform_point(&self, pt: &E) -> E;
    fn transform_vector(&self, v: &E::Vector) -> E::Vector;
    fn inverse_transform_point(&self, pt: &E) -> E;
    fn inverse_transform_vector(&self, v: &E::Vector) -> E::Vector;
}

A general transformation acting on an euclidean space.

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::Vector) -> E::Vector

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).

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

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

fn inverse_transform_vector(&self, v: &E::Vector) -> E::Vector

Applies this group's inverse 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).

Implementors