1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73

//! The `shigens` crate is a math library for calculate quaternion.
//!
//! When there was such a variable
//!
//! ```text
//! x = 1 + 2i + 3j + 4k
//! ```
//!
//! in `shigens` can write like this.
//!
//! ```
//! use shigens::*;
//!
//! let x = quaternion(1, 2, 3, 4);
//! // or
//! let x = r(1) + i(2) + j(3) + k(4);
//! ```
//!
//! # Examples
//!
//! So far, I have implemented only basic operations.
//!
//! ```
//! use shigens::*;
//!
//! assert_eq!(i(1) * i(1), r(-1));
//! assert_eq!(j(1) * j(1), r(-1));
//! assert_eq!(k(1) * k(1), r(-1));
//! ```
//!
//! ```
//! use shigens::*;
//!
//! let x1 = quaternion(2, 3, 4, 5);
//! let x2 = quaternion(6, 7, 8, 9);
//! let y = x1 + x2;
//!
//! assert_eq!(y.r.get_value(), 2 + 6);
//! assert_eq!(y.i.get_value(), 3 + 7);
//! assert_eq!(y.j.get_value(), 4 + 8);
//! assert_eq!(y.k.get_value(), 5 + 9);
//! ```
//!
//! ```
//! use shigens::*;
//!
//! let x1 = quaternion(2, 3, 4, 5);
//! let x2 = quaternion(6, 7, 8, 9);
//! let y = x1 * x2;
//!
//! assert_eq!(y.r.get_value(), 2 * 6 - 3 * 7 - 4 * 8 - 5 * 9);
//! assert_eq!(y.i.get_value(), 2 * 7 + 3 * 6 + 4 * 9 - 5 * 8);
//! assert_eq!(y.j.get_value(), 2 * 8 + 4 * 6 + 5 * 7 - 3 * 9);
//! assert_eq!(y.k.get_value(), 2 * 9 + 5 * 6 + 3 * 8 - 4 * 7);
//! ```
//!
//! ```
//! use shigens::*;
//!
//! let x = quaternion(2, 3, 4, 5);
//! let y = x * i(2);
//!
//! assert_eq!(y.r.get_value(), 3 * 2 * -1);
//! assert_eq!(y.i.get_value(), 2 * 2);
//! assert_eq!(y.j.get_value(), 5 * 2);
//! assert_eq!(y.k.get_value(), 4 * 2 * -1);
//! ```

mod num;
mod quaternion;

pub use num::*;
pub use quaternion::*;