array_matrix/vector/
cross.rs

1use std::ops::Add;
2
3use crate::{Det, Vector};
4
5pub trait Cross<Rhs: Vector>: Vector
6where Self::Output: Vector
7{
8    type Output;
9
10    /// Returns the cross product of a 3- or 7-dimensional vector pair.
11    /// 
12    /// u×v
13    /// 
14    /// # Arguments
15    /// 
16    /// * `rhs` - Vector of same dimensions
17    /// 
18    /// # Examples
19    /// 
20    /// ```rust
21    /// let u = [1.0, 0.0, 0.0];
22    /// let v = [0.0, 1.0, 0.0];
23    /// let uv = [0.0, 0.0, 1.0];
24    /// assert_eq!(u.cross(v), uv);
25    /// ```
26    fn cross(self, rhs: Rhs) -> Self::Output;
27}
28
29impl<F> Cross<[F; 3]> for [F; 3]
30where 
31    Self: Vector,
32    [<[[F; 2]; 2] as Det>::Output; 3]: Vector,
33    [[F; 2]; 2]: Det,
34    F: Clone
35{
36    type Output = [<[[F; 2]; 2] as Det>::Output; 3];
37    fn cross(self, rhs: [F; 3]) -> Self::Output {
38        use array_init::array_init;
39        array_init(|i| [
40            [self[(1 + i)%3].clone(), self[(2 + i)%3].clone()],
41            [rhs[(1 + i)%3].clone(), rhs[(2 + i)%3].clone()]
42        ].det())
43    }
44}
45
46impl<F> Cross<[F; 7]> for [F; 7]
47where
48    Self: Vector,
49    [<<<[[F; 2]; 2] as Det>::Output
50            as Add<<[[F; 2]; 2] as Det>::Output>>::Output
51                as Add<<[[F; 2]; 2] as Det>::Output>>::Output; 7]: Vector,
52    [[F; 2]; 2]: Det,
53    <[[F; 2]; 2] as Det>::Output: Add,
54    <<[[F; 2]; 2] as Det>::Output as Add<<[[F; 2]; 2] as Det>::Output>>::Output:
55        Add<<[[F; 2]; 2] as Det>::Output>,
56    F: Clone
57{
58    type Output = [
59        <<<[[F; 2]; 2] as Det>::Output
60            as Add<<[[F; 2]; 2] as Det>::Output>>::Output
61                as Add<<[[F; 2]; 2] as Det>::Output>>::Output; 7];
62    fn cross(self, rhs: [F; 7]) -> Self::Output {
63        use array_init::array_init;
64        array_init(|i| [
65            [self[(1 + i)%7].clone(), self[(3 + i)%7].clone()],
66            [rhs[(1 + i)%7].clone(), rhs[(3 + i)%7].clone()]
67        ].det() + [
68            [self[(2 + i)%7].clone(), self[(6 + i)%7].clone()],
69            [rhs[(2 + i)%7].clone(), rhs[(6 + i)%7].clone()]
70        ].det() + [
71            [self[(4 + i)%7].clone(), self[(5 + i)%7].clone()],
72            [rhs[(4 + i)%7].clone(), rhs[(5 + i)%7].clone()]
73        ].det())
74    }
75}
array_matrix/vector/cross.rs

array_matrix/vector/
cross.rs
