eom 0.11.0

Configurable ODE/PDE solver
Documentation 
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use crate::traits::*;
use ndarray::*;

#[cfg_attr(doc, katexit::katexit)]
/// Rössler system
///
/// $$
/// \begin{align*}
///   \frac{dx}{dt} &= -y-z \\\\
///   \frac{dy}{dt} &= x + ay \\\\
///   \frac{dz}{dt} &= b + z(x-c)
/// \end{align*}
/// $$
/// The original parameter by Rössler is $(a,b,c) = (0.2, 0.2, 5.7)$.
///
/// Links
/// ------
/// - Wikipedia <https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor>
#[derive(Clone, Copy, Debug)]
pub struct Roessler {
    /// default is $0.2$
    pub a: f64,
    /// default is $0.2$
    pub b: f64,
    /// default is $5.7$
    pub c: f64,
}

impl Default for Roessler {
    fn default() -> Self {
        Roessler {
            a: 0.2,
            b: 0.2,
            c: 5.7,
        }
    }
}

impl ModelSpec for Roessler {
    type Scalar = f64;
    type Dim = Ix1;
    fn model_size(&self) -> usize {
        3
    }
}

impl Roessler {
    pub fn new(a: f64, b: f64, c: f64) -> Self {
        Roessler { a, b, c }
    }
}

impl Explicit for Roessler {
    fn rhs<'a, S>(&mut self, v: &'a mut ArrayBase<S, Ix1>) -> &'a mut ArrayBase<S, Ix1>
    where
        S: DataMut<Elem = f64>,
    {
        let x = v[0];
        let y = v[1];
        let z = v[2];
        v[0] = -y - z;
        v[1] = x + self.a * y;
        v[2] = self.b + x * z - self.c * z;
        v
    }
}