hcomplex

Lightweight complex and hypercomplex algebra library.

Contents

• Complex and hypercomplex numbers:
  • Complex<T> - 2-dimensional commutative and associative algebra.
  • Quaternion<T> - 4-dimensional associative but non-commutative algebra.
  • Octonion<T> - 8-dimensional non-commutative and non-associative algebra.
  • Sedenion<T> - 16-dimensional non-commutative and non-associative algebra with nontrivial zero divisors.
  • and following algebras created by Cayley-Dickson construction Construct<T, A<T>> where A<T> is previous algebra.
• Transformations:
  • transform::Moebius<T, A<T>> - Moebius transform, where A<T> is some algebra.

To construct hypercomplex types from your own type you need to implement Algebra trait for it.

Crate Features

Crate could be used in no_std mode.

• std - Use std. Enabled by default.
• random - Hypercomplex number random generator.
• approx - Approximate comparison of hypercomplex numbers.

Testing

bash cargo test --features random,approx

License

Licensed under either of

• Apache License, Version 2.0 (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
• MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)

at your option.

Contribution

Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.