# hcomplex
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[license]: #license
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](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
* MIT license ([LICENSE-MIT](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.