Struct SphericalS3 

pub struct SphericalS3;

Trait Implementations

impl Clone for SphericalS3

fn clone(&self) -> SphericalS3

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SphericalS3

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

Formats the value using the given formatter.

impl Default for SphericalS3

fn default() -> SphericalS3

Returns the “default value” for a type.

impl IsometryGroup for SphericalS3

type Iso = Iso4

fn iso_identity(&self) -> Iso4

fn iso_compose(&self, a: Iso4, b: Iso4) -> Iso4

a ∘ b, apply b first, then a.

fn iso_inverse(&self, a: Iso4) -> Iso4

fn iso_apply(&self, iso: Iso4, p: Vec3) -> Vec3

fn iso_transport(&self, iso: Iso4, at: Vec3, v: Vec3) -> Vec3

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

impl PartialEq for SphericalS3

fn eq(&self, other: &SphericalS3) -> 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 Space for SphericalS3

type Point = Vec3

type Vector = Vec3

type Frame = Iso4

fn frame_at(&self, at: Vec3) -> Iso4

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 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(&self, from: Vec3, to: Vec3, v: Vec3) -> Vec3

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.

fn is_chart_flat(&self) -> bool

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

impl WgslSpace for SphericalS3

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 SphericalS3

impl Eq for SphericalS3

impl StructuralPartialEq for SphericalS3