Struct Versor 

pub struct Versor { /* private fields */ }

A versor is a general geometric transformation (rotation, reflection, or their composition).

Every versor can be written as a product of vectors. Versors with an even number of vectors are rotors. Versors with an odd number of vectors include reflections.

Implementations

impl Versor

pub fn from_multivector(mv: GA3, is_even: bool) -> Self

Create a versor from a multivector

pub fn identity() -> Self

Create the identity versor

pub fn reflection(normal_x: f64, normal_y: f64, normal_z: f64) -> Self

Create a reflection through a plane with normal vector (x, y, z)

Reflects points through the plane passing through origin with the given normal.

pub fn from_rotor(rotor: Rotor) -> Self

Convert from a Rotor

pub fn as_multivector(&self) -> &GA3

Get the internal multivector

pub fn transform(&self, v: &GA3) -> GA3

Apply this versor to transform a multivector

For even versors: V * v * V† For odd versors: V * v * V† (with grade involution handling)

pub fn then(&self, other: &Versor) -> Versor

Compose two versors

pub fn is_rotor(&self) -> bool

Check if this is an even versor (rotor)

pub fn to_rotor(&self) -> Option<Rotor>

Try to convert to a Rotor (only succeeds for even versors)

Trait Implementations

impl Clone for Versor

fn clone(&self) -> Versor

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Versor

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.