Struct EuclideanR3 

pub struct EuclideanR3;

Trait Implementations

impl Clone for EuclideanR3

fn clone(&self) -> EuclideanR3

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConformallyFlat for EuclideanR3

fn conformal_factor(&self, _p: Vec3) -> f32

May return f32::INFINITY at the chart boundary.

fn conformal_log_half(&self, _p: Vec3) -> f32

fn conformal_log_half_gradient(&self, _p: Vec3) -> Vec3

fn scalar_curvature(&self, _p: Vec3) -> f32

R = −(4/f)·[∇²φ + |∇φ|²/2]; the default is finite-difference.

impl Debug for EuclideanR3

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

Formats the value using the given formatter.

impl Default for EuclideanR3

fn default() -> EuclideanR3

Returns the “default value” for a type.

impl IsometryGroup for EuclideanR3

type Iso = Iso3

fn iso_identity(&self) -> Iso3

fn iso_compose(&self, a: Iso3, b: Iso3) -> Iso3

a ∘ b, apply b first, then a.

fn iso_inverse(&self, a: Iso3) -> Iso3

fn iso_apply(&self, iso: Iso3, p: Vec3) -> Vec3

fn iso_transport(&self, iso: Iso3, _at: Vec3, v: Vec3) -> Vec3

Maps tangents at at to tangents at iso_apply(iso, at).

impl PartialEq for EuclideanR3

fn eq(&self, other: &EuclideanR3) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl RasterizableSpace<3> for EuclideanR3

fn point_to_array(p: Vec3) -> [f32; 3]

fn array_to_point(arr: [f32; 3]) -> Vec3

fn project_point(point: Vec3, projection: &Projection<3>) -> Option<Vec3>

fn tessellate_segment( p0: Vec3, p1: Vec3, samples: usize, emit: impl FnMut(Vec3), )

Emits both endpoints and samples - 1 interior points when samples > 1.

impl Space for EuclideanR3

type Point = Vec3

type Vector = Vec3

type Frame = Quat

fn frame_at(&self, _at: Vec3) -> Quat

fn distance(&self, a: Vec3, b: Vec3) -> f32

fn exp(&self, at: Vec3, v: Vec3) -> Vec3

Advances for unit time along the geodesic with initial velocity v.

fn log(&self, from: Vec3, to: Vec3) -> Vec3

fn parallel_transport(&self, _from: Vec3, _to: Vec3, v: Vec3) -> Vec3

fn is_chart_flat(&self) -> bool

True when chart arithmetic respects the global geometry, including identifications.

fn chart_envelope(&self) -> f32

Geodesic distance from the chart origin beyond which Self::valid_point refuses a point.

fn valid_point(&self, p: Vec3) -> bool

Finite, inside the chart, and within Self::chart_envelope of the origin.

fn parallel_transport_along( &self, path: &[Self::Point], v: Self::Vector, ) -> Self::Vector

Composes transport along consecutive points; fewer than two points leave v unchanged.

impl WgslSpace for EuclideanR3

fn wgsl_impl(&self) -> Cow<'static, str>

Emits loam_distance, loam_origin_distance, loam_exp, loam_log, loam_geodesic_step, and LOAM_MAX_ARC over the space’s point type.

fn wgsl_accuracy(&self) -> WgslAccuracy

impl Copy for EuclideanR3

impl Eq for EuclideanR3

impl StructuralPartialEq for EuclideanR3