Struct EuclideanR2 

pub struct EuclideanR2;

Trait Implementations

impl Clone for EuclideanR2

fn clone(&self) -> EuclideanR2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for EuclideanR2

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

Formats the value using the given formatter.

impl Default for EuclideanR2

fn default() -> EuclideanR2

Returns the “default value” for a type.

impl IsometryGroup for EuclideanR2

type Iso = Iso2

fn iso_identity(&self) -> Iso2

fn iso_compose(&self, a: Iso2, b: Iso2) -> Iso2

a ∘ b, apply b first, then a.

fn iso_inverse(&self, a: Iso2) -> Iso2

fn iso_apply(&self, iso: Iso2, p: Vec2) -> Vec2

fn iso_transport(&self, iso: Iso2, _at: Vec2, v: Vec2) -> Vec2

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

impl PartialEq for EuclideanR2

fn eq(&self, other: &EuclideanR2) -> 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 EuclideanR2

type Point = Vec2

type Vector = Vec2

type Frame = Rotor2

fn frame_at(&self, _at: Vec2) -> Rotor2

fn distance(&self, a: Vec2, b: Vec2) -> f32

fn exp(&self, at: Vec2, v: Vec2) -> Vec2

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

fn log(&self, from: Vec2, to: Vec2) -> Vec2

fn parallel_transport(&self, _from: Vec2, _to: Vec2, v: Vec2) -> Vec2

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: Vec2) -> 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 Copy for EuclideanR2

impl Eq for EuclideanR2

impl StructuralPartialEq for EuclideanR2