ndarray-odeint 0.7.0

solve ODE using rust-ndarray
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

//! Lorenz 96 model
//! https://en.wikipedia.org/wiki/Lorenz_96_model

use ndarray::*;
use traits::*;

#[derive(Clone, Copy, Debug, new)]
pub struct Lorenz96 {
    pub f: f64,
    pub n: usize,
}

impl Default for Lorenz96 {
    fn default() -> Self {
        Lorenz96 { f: 8.0, n: 40 }
    }
}

impl ModelSize<Ix1> for Lorenz96 {
    fn model_size(&self) -> usize {
        self.n
    }
}

impl<S> Explicit<S, Ix1> for Lorenz96
    where S: DataMut<Elem = f64>
{
    type Scalar = f64;
    type Time = f64;

    fn rhs<'a>(&self, mut v: &'a mut ArrayBase<S, Ix1>) -> &'a mut ArrayBase<S, Ix1> {
        let n = v.len();
        let v0 = v.to_owned();
        for i in 0..n {
            let p1 = (i + 1) % n;
            let m1 = (i + n - 1) % n;
            let m2 = (i + n - 2) % n;
            v[i] = (v0[p1] - v0[m2]) * v0[m1] - v0[i] + self.f;
        }
        v
    }
}