conspire/math/integrate/dae/explicit/variable_step/bogacki_shampine/
mod.rs1use crate::math::{
2 Scalar, Tensor, TensorVec, Vector,
3 integrate::{
4 BogackiShampine, ExplicitDaeVariableStepExplicit, ExplicitDaeVariableStepFirstSameAsLast,
5 },
6};
7use std::ops::{Mul, Sub};
8
9impl<Y, Z, U, V> ExplicitDaeVariableStepExplicit<Y, Z, U, V> for BogackiShampine
10where
11 Self: ExplicitDaeVariableStepFirstSameAsLast<Y, Z, U, V>,
12 Y: Tensor,
13 Z: Tensor,
14 U: TensorVec<Item = Y>,
15 V: TensorVec<Item = Z>,
16 for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>,
17{
18 fn slopes_solve(
19 mut evolution: impl FnMut(Scalar, &Y, &Z) -> Result<Y, String>,
20 mut solution: impl FnMut(Scalar, &Y, &Z) -> Result<Z, String>,
21 y: &Y,
22 z: &Z,
23 t: Scalar,
24 dt: Scalar,
25 k: &mut [Y],
26 y_trial: &mut Y,
27 z_trial: &mut Z,
28 ) -> Result<(), String> {
29 *y_trial = &k[0] * (0.5 * dt) + y;
30 *z_trial = solution(t + 0.5 * dt, y_trial, z)?;
31 k[1] = evolution(t + 0.5 * dt, y_trial, z_trial)?;
32 *y_trial = &k[1] * (0.75 * dt) + y;
33 *z_trial = solution(t + 0.75 * dt, y_trial, z_trial)?;
34 k[2] = evolution(t + 0.75 * dt, y_trial, z_trial)?;
35 *y_trial = (&k[0] * 2.0 + &k[1] * 3.0 + &k[2] * 4.0) * (dt / 9.0) + y;
36 *z_trial = solution(t + dt, y_trial, z_trial)?;
37 Ok(())
38 }
39 fn slopes_solve_and_error(
40 &self,
41 evolution: impl FnMut(Scalar, &Y, &Z) -> Result<Y, String>,
42 solution: impl FnMut(Scalar, &Y, &Z) -> Result<Z, String>,
43 y: &Y,
44 z: &Z,
45 t: Scalar,
46 dt: Scalar,
47 k: &mut [Y],
48 y_trial: &mut Y,
49 z_trial: &mut Z,
50 ) -> Result<Scalar, String> {
51 Self::slopes_solve_and_error_fsal(evolution, solution, y, z, t, dt, k, y_trial, z_trial)
52 }
53 fn step_solve(
54 &self,
55 _: impl FnMut(Scalar, &Y, &Z) -> Result<Y, String>,
56 y: &mut Y,
57 z: &mut Z,
58 t: &mut Scalar,
59 y_sol: &mut U,
60 z_sol: &mut V,
61 t_sol: &mut Vector,
62 dydt_sol: &mut U,
63 dt: &mut Scalar,
64 k: &mut [Y],
65 y_trial: &Y,
66 z_trial: &Z,
67 e: Scalar,
68 ) -> Result<(), String> {
69 self.step_solve_fsal(
70 y, z, t, y_sol, z_sol, t_sol, dydt_sol, dt, k, y_trial, z_trial, e,
71 )
72 }
73}
74
75impl<Y, Z, U, V> ExplicitDaeVariableStepFirstSameAsLast<Y, Z, U, V> for BogackiShampine
76where
77 Y: Tensor,
78 Z: Tensor,
79 U: TensorVec<Item = Y>,
80 V: TensorVec<Item = Z>,
81 for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>,
82{
83}