Struct SphericalS3Embedded 

pub struct SphericalS3Embedded;

S³ with unit Vec4 points and ambient tangents; methods assume unit points.

Trait Implementations

impl Clone for SphericalS3Embedded

fn clone(&self) -> SphericalS3Embedded

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SphericalS3Embedded

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

Formats the value using the given formatter.

impl Default for SphericalS3Embedded

fn default() -> SphericalS3Embedded

Returns the “default value” for a type.

impl IsometryGroup for SphericalS3Embedded

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: Vec4) -> Vec4

fn iso_transport(&self, iso: Iso4, _at: Vec4, v: Vec4) -> Vec4

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

impl PartialEq for SphericalS3Embedded

fn eq(&self, other: &SphericalS3Embedded) -> 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<4> for SphericalS3Embedded

fn point_to_array(p: Vec4) -> [f32; 4]

fn array_to_point(arr: [f32; 4]) -> Vec4

fn project_point(point: Vec4, projection: &Projection<4>) -> Option<Vec3>

fn tessellate_segment( p0: Vec4, p1: Vec4, samples: usize, emit: impl FnMut(Vec4), )

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

impl Space for SphericalS3Embedded

type Point = Vec4

type Vector = Vec4

type Frame = Iso4

fn frame_at(&self, at: Vec4) -> Iso4

fn distance(&self, a: Vec4, b: Vec4) -> f32

fn exp(&self, at: Vec4, v: Vec4) -> Vec4

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

fn log(&self, from: Vec4, to: Vec4) -> Vec4

fn parallel_transport(&self, from: Vec4, to: Vec4, v: Vec4) -> Vec4

fn chart_envelope(&self) -> f32

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

fn valid_point(&self, p: Vec4) -> 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.

fn is_chart_flat(&self) -> bool

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

impl Copy for SphericalS3Embedded

impl Eq for SphericalS3Embedded

impl StructuralPartialEq for SphericalS3Embedded