Struct CoordinateSystem 

pub struct CoordinateSystem<S: Scalar> { /* private fields */ }

A local coordinate system: an origin point plus 3 linearly independent (not necessarily orthogonal or unit-length) basis vectors u, v, w, letting a caller convert a point’s coordinates between this frame (uvw space, relative to origin) and the ambient xyz space it was itself expressed in.

Implementations

impl<S: Scalar> CoordinateSystem<S>

pub fn try_new( origin: Vector3<S>, u: Vector3<S>, v: Vector3<S>, w: Vector3<S>, ) -> GeopResult<Self>

Build the coordinate system from its origin and 3 basis vectors. Fails if u, v, w could be linearly dependent (zero signed volume u . (v × w)), since that basis can’t be inverted into a reciprocal one.

pub fn origin(&self) -> &Vector3<S>

pub fn u(&self) -> &Vector3<S>

pub fn v(&self) -> &Vector3<S>

pub fn w(&self) -> &Vector3<S>

pub fn to_xyz(&self, p_uvw: &Vector3<S>) -> Vector3<S>

Convert a point expressed in this frame (uvw coordinates, relative to origin) to ambient xyz space: origin + p_uvw[0] * u + p_uvw[1] * v + p_uvw[2] * w.

pub fn uv_to_xyz(&self, p_uv: &Vector2<S>) -> Vector3<S>

Convert a point expressed in this frame’s u/v plane (w = 0) to ambient xyz space: origin + p_uv[0] * u + p_uv[1] * v.

pub fn to_uvw(&self, p_xyz: &Vector3<S>) -> Vector3<S>

Convert an ambient xyz point into this frame’s uvw coordinates (relative to origin), via the precomputed reciprocal basis (u* . (p - origin), v* . (p - origin), w* . (p - origin)).

Trait Implementations

impl<S: Clone + Scalar> Clone for CoordinateSystem<S>

fn clone(&self) -> CoordinateSystem<S>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<S: Debug + Scalar> Debug for CoordinateSystem<S>

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

Formats the value using the given formatter.

impl<S: Scalar> Display for CoordinateSystem<S>

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

Formats the value using the given formatter.