vecmat 0.7.8

Low-dimensional vector algebra with min_const_generics support
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
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210

use crate::Vector;
use core::ops::{Mul, Sub};
use num_traits::Zero;

impl<T> Vector<T, 2>
where
    T: Copy,
{
    pub fn x(&self) -> T {
        *unsafe { self.get_unchecked(0) }
    }
    pub fn y(&self) -> T {
        *unsafe { self.get_unchecked(1) }
    }
}
impl<T> Vector<T, 3>
where
    T: Copy,
{
    pub fn x(&self) -> T {
        *unsafe { self.get_unchecked(0) }
    }
    pub fn y(&self) -> T {
        *unsafe { self.get_unchecked(1) }
    }
    pub fn z(&self) -> T {
        *unsafe { self.get_unchecked(2) }
    }
}
impl<T> Vector<T, 4>
where
    T: Copy,
{
    pub fn x(&self) -> T {
        *unsafe { self.get_unchecked(0) }
    }
    pub fn y(&self) -> T {
        *unsafe { self.get_unchecked(1) }
    }
    pub fn z(&self) -> T {
        *unsafe { self.get_unchecked(2) }
    }
    pub fn w(&self) -> T {
        *unsafe { self.get_unchecked(3) }
    }
}

impl<T> Vector<T, 2> {
    pub fn x_ref(&self) -> &T {
        unsafe { self.get_unchecked(0) }
    }
    pub fn y_ref(&self) -> &T {
        unsafe { self.get_unchecked(1) }
    }
    pub fn x_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(0) }
    }
    pub fn y_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(1) }
    }
}
impl<T> Vector<T, 3> {
    pub fn x_ref(&self) -> &T {
        unsafe { self.get_unchecked(0) }
    }
    pub fn y_ref(&self) -> &T {
        unsafe { self.get_unchecked(1) }
    }
    pub fn z_ref(&self) -> &T {
        unsafe { self.get_unchecked(2) }
    }
    pub fn x_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(0) }
    }
    pub fn y_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(1) }
    }
    pub fn z_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(2) }
    }
}
impl<T> Vector<T, 4> {
    pub fn x_ref(&self) -> &T {
        unsafe { self.get_unchecked(0) }
    }
    pub fn y_ref(&self) -> &T {
        unsafe { self.get_unchecked(1) }
    }
    pub fn z_ref(&self) -> &T {
        unsafe { self.get_unchecked(2) }
    }
    pub fn w_ref(&self) -> &T {
        unsafe { self.get_unchecked(3) }
    }
    pub fn x_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(0) }
    }
    pub fn y_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(1) }
    }
    pub fn z_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(2) }
    }
    pub fn w_mut(&mut self) -> &mut T {
        unsafe { self.get_unchecked_mut(3) }
    }
}

impl<T> Vector<T, 2>
where
    T: Mul<Output = T> + Sub<Output = T> + Copy,
{
    /// Pseudo-cross product for 2D vector.
    pub fn cross(self, other: Vector<T, 2>) -> T {
        self.x() * other.y() - self.y() * other.x()
    }
}
impl<T> Vector<T, 3>
where
    T: Mul<Output = T> + Sub<Output = T> + Copy,
{
    /// Cross product.
    pub fn cross(self, other: Vector<T, 3>) -> Vector<T, 3> {
        let (a, b) = (&self, &other);
        Self::from([
            a.y() * b.z() - a.z() * b.y(),
            a.z() * b.x() - a.x() * b.z(),
            a.x() * b.y() - a.y() * b.x(),
        ])
    }
}
impl<T> Vector<T, 4>
where
    T: Mul<Output = T> + Sub<Output = T> + Zero + Copy,
{
    /// Cross product of first three components, fourth one is set to zero.
    pub fn cross(self, other: Vector<T, 4>) -> Vector<T, 4> {
        let (a, b) = (&self, &other);
        Self::from([
            a.y() * b.z() - a.z() * b.y(),
            a.z() * b.x() - a.x() * b.z(),
            a.x() * b.y() - a.y() * b.x(),
            T::zero(),
        ])
    }
}

impl<T> Vector<T, 2> {
    pub fn from_tuple((x, y): (T, T)) -> Self {
        Self::from_array([x, y])
    }
    pub fn into_tuple(self) -> (T, T) {
        let mut it = self.into_iter();
        (it.next().unwrap(), it.next().unwrap())
    }
}
impl<T> Vector<T, 3> {
    pub fn from_tuple((x, y, z): (T, T, T)) -> Self {
        Self::from_array([x, y, z])
    }
    pub fn into_tuple(self) -> (T, T, T) {
        let mut it = self.into_iter();
        (it.next().unwrap(), it.next().unwrap(), it.next().unwrap())
    }
}
impl<T> Vector<T, 4> {
    pub fn from_tuple((x, y, z, w): (T, T, T, T)) -> Self {
        Self::from_array([x, y, z, w])
    }
    pub fn into_tuple(self) -> (T, T, T, T) {
        let mut it = self.into_iter();
        (
            it.next().unwrap(),
            it.next().unwrap(),
            it.next().unwrap(),
            it.next().unwrap(),
        )
    }
}

impl<T> From<(T, T)> for Vector<T, 2> {
    fn from(tuple: (T, T)) -> Self {
        Self::from_tuple(tuple)
    }
}
impl<T> From<Vector<T, 2>> for (T, T) {
    fn from(vec: Vector<T, 2>) -> Self {
        vec.into_tuple()
    }
}
impl<T> From<(T, T, T)> for Vector<T, 3> {
    fn from(tuple: (T, T, T)) -> Self {
        Self::from_tuple(tuple)
    }
}
impl<T> From<Vector<T, 3>> for (T, T, T) {
    fn from(vec: Vector<T, 3>) -> Self {
        vec.into_tuple()
    }
}
impl<T> From<(T, T, T, T)> for Vector<T, 4> {
    fn from(tuple: (T, T, T, T)) -> Self {
        Self::from_tuple(tuple)
    }
}
impl<T> From<Vector<T, 4>> for (T, T, T, T) {
    fn from(vec: Vector<T, 4>) -> Self {
        vec.into_tuple()
    }
}