prime-splines — Curve interpolation: Bezier, Hermite, Catmull-Rom, B-spline, slerp.

All public functions are pure (LOAD + COMPUTE only). No &mut, no side effects, no hidden state. Same inputs always produce the same output.

Temporal Assembly Model

• LOAD — read function parameters
• COMPUTE — pure math

STORE and JUMP do not exist here.

Included

• bezier_quadratic / bezier_quadratic_3d — quadratic Bezier (3 control points)
• bezier_cubic / bezier_cubic_3d — cubic Bezier (4 control points)
• hermite / hermite_3d — cubic Hermite (position + tangent at endpoints)
• catmull_rom / catmull_rom_3d — Catmull-Rom (smooth through control points)
• b_spline_cubic / b_spline_cubic_3d — uniform cubic B-spline segment
• slerp — spherical linear interpolation for unit quaternions
• bezier_cubic_arc_length / bezier_cubic_arc_length_3d — approximate arc length
• bezier_cubic_t_at_length / bezier_cubic_t_at_length_3d — inverse arc-length parameterisation