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
/*
* SPDX-License-Identifier: MIT
* Copyright (c) 2023 - 2026. The DeepCausality Authors and Contributors. All Rights Reserved.
*/
use crateFloat;
// ## Summary of the "Three Markers"
//
// | Type | `Distributive` | `Associative` | `Commutative` | Trait |
// | :--- | :---: | :---: | :---: | :--- |
// | **Real (`f64`)** | ✅ | ✅ | ✅ | `Field` |
// | **Complex** | ✅ | ✅ | ✅ | `Field` |
// | **Quaternion** | ✅ | ✅ | ❌ | `AssociativeRing` |
// | **Octonion** | ✅ | ❌ | ❌ | `DivisionAlgebra` |
// | **Matrix** | ✅ | ✅ | ❌ | `AssociativeRing` |
/// Marker trait: Promises that a * b == b * a.
/// IMPLEMENT THIS for f64, f32, Float, Complex.
/// DO NOT IMPLEMENT for Quaternion, Octonion.