Struct FlatTorus3 

pub struct FlatTorus3 { /* private fields */ }

Rectangular torus with canonical representatives in [-cᵢ/2, cᵢ/2).

Implementations

impl FlatTorus3

pub fn new(cell: Vec3) -> Self

Panics unless every side is finite and positive.

pub fn cube(side: f32) -> Self

pub fn cell(&self) -> Vec3

pub fn injectivity_radius(&self) -> f32

Trait Implementations

impl Clone for FlatTorus3

fn clone(&self) -> FlatTorus3

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl CoveringSpace for FlatTorus3

type CoverIso = Iso3

fn cover_identity(&self) -> Iso3

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

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

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

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

impl Debug for FlatTorus3

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

Formats the value using the given formatter.

impl PartialEq for FlatTorus3

fn eq(&self, other: &FlatTorus3) -> 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 QuotientSpace for FlatTorus3

fn face_pairings(&self) -> impl Iterator<Item = Iso3>

Iteration order is part of the contract.

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

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

impl Space for FlatTorus3

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 FlatTorus3

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 FlatTorus3

impl StructuralPartialEq for FlatTorus3