owmath

Quaternions

Example:

```rust use owmath::quaternion::Quaternion;

fn main() { let a = Quaternion::new(1.0, 2.0, 3.0, 4.0); let b: Quaternion = (2.0, 3.0, 4.0, 5.0).into(); println!("{} + {} = {}", a, b, a+b); println!("{} * {} = {}", a, b, ab); println!("{} * {} = {}", b, a, ba); println!("2 * {} = {}", a, 2.0a); // works only for Quaternion and Quaternion println!("{} * 2 = {}", a, a2.0); println!("{}⁻¹ = {}", a, a.inverse()); println!("{}.norm() = {}", a, a.norm()); println!("{}.conjugate() = {}", a, a.conjugate()); } ```

Output:

(1, 2, 3, 4) + (2, 3, 4, 5) = (3, 5, 7, 9) (1, 2, 3, 4) * (2, 3, 4, 5) = (-36, 6, 12, 12) (2, 3, 4, 5) * (1, 2, 3, 4) = (-36, 8, 8, 14) 2 * (1, 2, 3, 4) = (2, 4, 6, 8) (1, 2, 3, 4) * 2 = (2, 4, 6, 8) (1, 2, 3, 4)⁻¹ = (0.03333333333333333, -0.06666666666666667, -0.1, -0.13333333333333333) (1, 2, 3, 4).norm() = 5.477225575051661 (1, 2, 3, 4).conjugate() = (1, -2, -3, -4)