prime-splines

Spline math — Bezier (quadratic, cubic), Hermite, Catmull-Rom, B-spline, slerp, arc length, and uniform-speed parameterization. Scalar and 3D variants.

Part of the prime math ecosystem.

What's inside

• bezier_quadratic / bezier_cubic — Bezier curves (scalar + 3D)
• hermite / hermite_3d — Hermite interpolation with tangents
• catmull_rom / catmull_rom_3d — smooth pass-through splines
• b_spline_cubic / b_spline_cubic_3d — B-spline curves
• slerp — spherical linear interpolation for rotations
• bezier_cubic_arc_length — arc length approximation
• bezier_cubic_t_at_length — uniform-speed parameterization

Usage

use prime_splines::{catmull_rom_3d, slerp, bezier_cubic_t_at_length_3d};
use glam::Vec3;

// Smooth path through control points
let pos = catmull_rom_3d(t, p0, p1, p2, p3);

// Spherical interpolation between directions
let dir = slerp(from, to, t);

// Move at constant speed along a bezier
let uniform_t = bezier_cubic_t_at_length_3d(p0, p1, p2, p3, target_length, 64);

License

MIT