tuppu-algebra

Geometric algebra with exact rational coefficients — vectors, bivectors, rotors, and more.

Part of the Tuppu Nabu geometric algebra system.

Features

• Full geometric algebra — Vectors, bivectors, trivectors, rotors
• Exact arithmetic — Rational coefficients, no floating-point errors
• Reflection-first design — Build rotations from reflections
• Any signature — Euclidean, Minkowski, PGA, CGA

Usage

use tuppu_algebra::{Multivector, Signature};

let sig = Signature::euclidean(3);
let e1 = Multivector::basis_vector(&sig, 0);
let e2 = Multivector::basis_vector(&sig, 1);

// Geometric product
let e12 = &e1 * &e2;  // Bivector

// Reflection: v' = -nvn
let v = &e1 + &e2;
let reflected = -(&e1 * &v * &e1);

License

MIT OR Apache-2.0