Expand description
Poincaré-ball points satisfy |p| < 1; isometries act on the Lorentz embedding.
Structs§
- Hyperbolic
H3 - Iso3H
- SO⁺(3,1) acting on
(x, y, z, w), withwtime-like.
Constants§
- H3_
DEPTH_ ENVELOPE - H³ hits at least
H3_DEPTH_SEPARATIONapart stay ordered within this hyperbolic distance of an eye at mostH3_EYE_CHART_REACHfrom the chart origin, andvalid_pointrefuses points farther than this from the origin. - H3_
DEPTH_ SEPARATION - H3_
EYE_ CHART_ REACH - H3_
MAX_ ARC - POINCARE_
R2_ MAX
Functions§
- hyperboloid_
to_ klein - hyperboloid_
to_ poincare - in_
poincare_ ball - False past the radius where the chart’s f32 arithmetic is clamped.
- klein_
ray - Klein point at hyperbolic distance
tfrom the origin along unitdir; geodesics from the origin are straight. - klein_
to_ hyperboloid - klein_
to_ poincare - poincare_
to_ hyperboloid - poincare_
to_ klein