glucose 0.2.3

multipurpose math and physics crate for my projects
Documentation 
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
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155

use crate::algebra::linear::mat::Matrix;
use crate::algebra::linear::scalar::Scalar;
use fructose::operators::{ClosedAdd, ClosedMul, ClosedSub};
use fructose::properties::helpers::identity::{One, Two};
use std::ops::{Index, IndexMut};

pub type Point<T, const N: usize> = Vector<T, { N }>;

pub type Vector<T, const N: usize> = Matrix<T, { N }, 1>;

pub type RowVector<T, const N: usize> = Matrix<T, 1, { N }>;

impl<T: Scalar + Copy + ClosedMul + ClosedAdd, const N: usize> Vector<T, { N }> {
    #[inline]
    pub fn dot(&self, other: Self) -> T {
        let mut sum = <T>::default();
        for i in 0..N {
            sum += self[i] * other[i];
        }
        sum
    }

    #[inline]
    pub fn reverse(&mut self) {
        self.data[0].reverse()
    }

    #[inline]
    pub fn reversed(&self) -> Self {
        let mut vec = *self;
        vec.reverse();
        vec
    }
}

impl<T: Scalar + One, const N: usize> Vector<T, { N }> {
    #[inline]
    pub fn unit(n: usize) -> Self {
        let mut data = [<T>::default(); N];
        data[n] = <T>::one();
        Self { data: [data] }
    }
}

impl<T: Scalar + Two + ClosedMul + ClosedAdd + ClosedSub, const N: usize> Vector<T, { N }> {
    #[inline]
    pub fn reflect(&mut self, normal: Self) {
        *self -= normal * <T>::two() * self.dot(normal);
    }
}

impl<T, const N: usize> From<[T; N]> for Vector<T, { N }> {
    fn from(rhs: [T; N]) -> Self {
        Point::new([rhs])
    }
}

impl<T> From<(T, T)> for Point<T, 2> {
    fn from(rhs: (T, T)) -> Self {
        Point::new([[rhs.0, rhs.1]])
    }
}

impl<T> From<(T, T, T)> for Point<T, 3> {
    fn from(rhs: (T, T, T)) -> Self {
        Point::new([[rhs.0, rhs.1, rhs.2]])
    }
}

impl<T> From<(T, T, T, T)> for Point<T, 4> {
    fn from(rhs: (T, T, T, T)) -> Self {
        Point::new([[rhs.0, rhs.1, rhs.2, rhs.3]])
    }
}

impl<T, const N: usize> Index<usize> for Vector<T, { N }> {
    type Output = T;

    fn index(&self, index: usize) -> &Self::Output {
        &self.data[0][index]
    }
}

impl<T, const N: usize> IndexMut<usize> for Vector<T, { N }> {
    fn index_mut(&mut self, index: usize) -> &mut Self::Output {
        &mut self.data[0][index]
    }
}

// TODO: reimplement those?
// #[macro_export]
// macro_rules! vec_short {
//     ($($n:ident => $t:ty),+) => {
//         $(
//             type $n<const N: usize> = Vector<$t, N>;
//         )+
//     };
//     ($($n:ident => $d:expr),+) => {
//         $(
//             type $n<T> = Vector<T, $d>;
//         )+
//     };
//     ($($n:ident => [$t:ty; $d:expr]),+) => {
//         $(
//             type $n = Vector<$t, $d>;
//         )+
//     }
// }
//
// /// A macro to add lettered getter and setter functions to a VecN
// ///
// /// # Usage
// /// * `<...>` : replace with values
// /// * `,+` can repeat infinite times but can not be empty
// ///
// /// `<Vector Dimension> => [<<index for data[n]> => <corresponding letter>>,+],+`
// ///
// /// # Example
// /// ```
// // letters_for_vectors! {
// //     2 => [0, x; 1, y],
// //     3 => [0, x; 1, y; 2, z]
// // }
// /// ```
// // TODO: add recursive parsing so the inner expression can be omitted
// #[macro_export]
// macro_rules! letters_for_vectors {
//     ($($e:expr => [$($c:expr, $d:ident);+]),+) => {
//         $(
//             impl<T: Scalar> Vector<T, $e> {
//                 $(
//                     #[inline]
//                     pub const fn $d(&self) -> T {
//                         self.data[$c]
//                     }
//
//                     paste! {
//                         /// sets the `data[n]` to the value f
//                         #[inline]
//                         pub fn [<set_ $d>](&mut self, value: T) {
//                             self.data[$c] = value;
//                         }
//
//                         // Creates a new unit vector from the corresponding letter
//                         #[inline]
//                         pub fn [<unit_ $d>]() -> Self {
//                             Self::unit($c)
//                         }
//                     }
//
//                 )+
//             }
//         )+
//     }
// }