TANUKI-CD

Research program on Cayley-Dickson algebras

Code

Projects

Core library

Quaternionic

A C library for Cayley–Dickson algebras over several coefficient fields. It supports arithmetic, multiplication matrices, subalgebra calculations, zero divisors, and annihilators.

Language
C
Version
v1.0.0
Status
Active development
License
GPL-3.0
git.tanuki-cd.com Quaternionic on GitHub

Research kernel

fastCD

A C11 library with Python and NumPy bindings for the standard real Cayley–Dickson tower. Its multiplication algorithm uses O(N log N) real arithmetic operations in dimension N, evaluated in double precision. It includes matrix-free operators, independent reference implementations, and research benchmarks. C operations use caller-provided storage without allocating during arithmetic.

Languages
C / Python
Release
Unreleased
Status
Active development
License
MIT
Associated research

Quasilinear multiplication in the Cayley–Dickson tower — Harrison Lemley, arXiv:2609.11588v2 (updated ). The paper treats unital commutative rings with 2 invertible under its coefficient-algebra hypothesis; fastCD implements the standard real tower. A comparison implementation follows Cariow & Cariowa (2015).

git.tanuki-cd.com fastCD on GitHub

Source Repositories

TANUKI-CD projects are maintained at git.tanuki-cd.com and mirrored to GitHub. If the copies differ, use the version in the TANUKI-CD repository.

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