Trait alga::linear::Rotation

pub trait Rotation<E: EuclideanSpace>: OrthogonalTransformation<E, Rotation = Self> + DirectIsometry<E, Rotation = Self> {
    fn powf(&self, n: E::Real) -> Option<Self>;
    fn rotation_between(a: &E::Coordinates, b: &E::Coordinates) -> Option<Self>;
    fn scaled_rotation_between(
        a: &E::Coordinates, 
        b: &E::Coordinates, 
        s: E::Real
    ) -> Option<Self>;
}

Subgroups of the n-dimensional rotation group SO(n).

Required Methods

fn powf(&self, n: E::Real) -> Option<Self>

Raises this rotation to a power. If this is a simple rotation, the result must be equivalent to multiplying the rotation angle by n.

fn rotation_between(a: &E::Coordinates, b: &E::Coordinates) -> Option<Self>

Computes a simple rotation that makes the angle between a and b equal to zero, i.e., b.angle(a * delta_rotation(a, b)) = 0. If a and b are collinear, the computed rotation may not be unique. Returns None if no such simple rotation exists in the subgroup represented by Self.

fn scaled_rotation_between(
    a: &E::Coordinates,
    b: &E::Coordinates,
    s: E::Real
) -> Option<Self>

Computes the rotation between a and b and raises it to the power n.

This is equivalent to calling self.rotation_between(a, b) followed by .powf(n) but will usually be much more efficient.

Implementors

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

fn powf(&self, _: E::Real) -> Option<Self>

fn rotation_between(a: &E::Coordinates, b: &E::Coordinates) -> Option<Self>

fn scaled_rotation_between(     a: &E::Coordinates,     b: &E::Coordinates,     _: E::Real ) -> Option<Self>