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KleinDisk

proof_engine::topology::hyperbolic

Struct KleinDisk

pub struct KleinDisk;

Expand description

The Klein (Beltrami-Klein) disk model of hyperbolic geometry. Geodesics are straight lines (chords) but angles are distorted.

Implementations§

impl KleinDisk

pub fn to_klein(&self, pos: Vec2) -> Vec2

Convert a world position to Klein disk coordinates. Points map into the unit disk.

pub fn from_klein(&self, pos: Vec2) -> Vec2

Convert Klein disk coordinates back to world position.

pub fn poincare_to_klein(pos: Vec2) -> Vec2

Convert a Poincare disk point to Klein disk point. K = 2P / (1 + |P|^2)

pub fn klein_to_poincare(pos: Vec2) -> Vec2

Convert a Klein disk point to Poincare disk point. P = K / (1 + sqrt(1 - |K|^2))

Auto Trait Implementations§

impl Freeze for KleinDisk

impl RefUnwindSafe for KleinDisk

impl Send for KleinDisk

impl Sync for KleinDisk

impl Unpin for KleinDisk

impl UnsafeUnpin for KleinDisk

impl UnwindSafe for KleinDisk

Blanket Implementations§

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