conspire/math/integrate/dae/explicit/variable_step/verner_8/
mod.rs

1use crate::math::{
2    Scalar, Tensor, TensorVec,
3    integrate::{ExplicitDaeVariableStepExplicit, ode::explicit::variable_step::verner_8::*},
4};
5use std::ops::{Mul, Sub};
6
7impl<Y, Z, U, V> ExplicitDaeVariableStepExplicit<Y, Z, U, V> for Verner8
8where
9    Y: Tensor,
10    Z: Tensor,
11    U: TensorVec<Item = Y>,
12    V: TensorVec<Item = Z>,
13    for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>,
14{
15    fn slopes_solve(
16        mut evolution: impl FnMut(Scalar, &Y, &Z) -> Result<Y, String>,
17        mut solution: impl FnMut(Scalar, &Y, &Z) -> Result<Z, String>,
18        y: &Y,
19        z: &Z,
20        t: Scalar,
21        dt: Scalar,
22        k: &mut [Y],
23        y_trial: &mut Y,
24        z_trial: &mut Z,
25    ) -> Result<(), String> {
26        k[0] = evolution(t, y, z)?;
27        *y_trial = &k[0] * (A_2_1 * dt) + y;
28        *z_trial = solution(t + C_2 * dt, y_trial, z)?;
29        k[1] = evolution(t + C_2 * dt, y_trial, z_trial)?;
30        *y_trial = &k[0] * (A_3_1 * dt) + &k[1] * (A_3_2 * dt) + y;
31        *z_trial = solution(t + C_3 * dt, y_trial, z_trial)?;
32        k[2] = evolution(t + C_3 * dt, y_trial, z_trial)?;
33        *y_trial = &k[0] * (A_4_1 * dt) + &k[2] * (A_4_3 * dt) + y;
34        *z_trial = solution(t + C_4 * dt, y_trial, z_trial)?;
35        k[3] = evolution(t + C_4 * dt, y_trial, z_trial)?;
36        *y_trial = &k[0] * (A_5_1 * dt) + &k[2] * (A_5_3 * dt) + &k[3] * (A_5_4 * dt) + y;
37        *z_trial = solution(t + C_5 * dt, y_trial, z_trial)?;
38        k[4] = evolution(t + C_5 * dt, y_trial, z_trial)?;
39        *y_trial = &k[0] * (A_6_1 * dt) + &k[3] * (A_6_4 * dt) + &k[4] * (A_6_5 * dt) + y;
40        *z_trial = solution(t + C_6 * dt, y_trial, z_trial)?;
41        k[5] = evolution(t + C_6 * dt, y_trial, z_trial)?;
42        *y_trial = &k[0] * (A_7_1 * dt)
43            + &k[3] * (A_7_4 * dt)
44            + &k[4] * (A_7_5 * dt)
45            + &k[5] * (A_7_6 * dt)
46            + y;
47        *z_trial = solution(t + C_7 * dt, y_trial, z_trial)?;
48        k[6] = evolution(t + C_7 * dt, y_trial, z_trial)?;
49        *y_trial = &k[0] * (A_8_1 * dt)
50            + &k[3] * (A_8_4 * dt)
51            + &k[4] * (A_8_5 * dt)
52            + &k[5] * (A_8_6 * dt)
53            + &k[6] * (A_8_7 * dt)
54            + y;
55        *z_trial = solution(t + C_8 * dt, y_trial, z_trial)?;
56        k[7] = evolution(t + C_8 * dt, y_trial, z_trial)?;
57        *y_trial = &k[0] * (A_9_1 * dt)
58            + &k[3] * (A_9_4 * dt)
59            + &k[4] * (A_9_5 * dt)
60            + &k[5] * (A_9_6 * dt)
61            + &k[6] * (A_9_7 * dt)
62            + &k[7] * (A_9_8 * dt)
63            + y;
64        *z_trial = solution(t + C_9 * dt, y_trial, z_trial)?;
65        k[8] = evolution(t + C_9 * dt, y_trial, z_trial)?;
66        *y_trial = &k[0] * (A_10_1 * dt)
67            + &k[3] * (A_10_4 * dt)
68            + &k[4] * (A_10_5 * dt)
69            + &k[5] * (A_10_6 * dt)
70            + &k[6] * (A_10_7 * dt)
71            + &k[7] * (A_10_8 * dt)
72            + &k[8] * (A_10_9 * dt)
73            + y;
74        *z_trial = solution(t + C_10 * dt, y_trial, z_trial)?;
75        k[9] = evolution(t + C_10 * dt, y_trial, z_trial)?;
76        *y_trial = &k[0] * (A_11_1 * dt)
77            + &k[3] * (A_11_4 * dt)
78            + &k[4] * (A_11_5 * dt)
79            + &k[5] * (A_11_6 * dt)
80            + &k[6] * (A_11_7 * dt)
81            + &k[7] * (A_11_8 * dt)
82            + &k[8] * (A_11_9 * dt)
83            + &k[9] * (A_11_10 * dt)
84            + y;
85        *z_trial = solution(t + C_11 * dt, y_trial, z_trial)?;
86        k[10] = evolution(t + C_11 * dt, y_trial, z_trial)?;
87        *y_trial = &k[0] * (A_12_1 * dt)
88            + &k[3] * (A_12_4 * dt)
89            + &k[4] * (A_12_5 * dt)
90            + &k[5] * (A_12_6 * dt)
91            + &k[6] * (A_12_7 * dt)
92            + &k[7] * (A_12_8 * dt)
93            + &k[8] * (A_12_9 * dt)
94            + &k[9] * (A_12_10 * dt)
95            + &k[10] * (A_12_11 * dt)
96            + y;
97        *z_trial = solution(t + dt, y_trial, z_trial)?;
98        k[11] = evolution(t + dt, y_trial, z_trial)?;
99        *y_trial = &k[0] * (A_13_1 * dt)
100            + &k[3] * (A_13_4 * dt)
101            + &k[4] * (A_13_5 * dt)
102            + &k[5] * (A_13_6 * dt)
103            + &k[6] * (A_13_7 * dt)
104            + &k[7] * (A_13_8 * dt)
105            + &k[8] * (A_13_9 * dt)
106            + &k[9] * (A_13_10 * dt)
107            + y;
108        *z_trial = solution(t + dt, y_trial, z_trial)?;
109        k[12] = evolution(t + dt, y_trial, z_trial)?;
110        *y_trial = (&k[0] * B_1
111            + &k[5] * B_6
112            + &k[6] * B_7
113            + &k[7] * B_8
114            + &k[8] * B_9
115            + &k[9] * B_10
116            + &k[10] * B_11
117            + &k[11] * B_12)
118            * dt
119            + y;
120        *z_trial = solution(t + dt, y_trial, z_trial)?;
121        Ok(())
122    }
123}
conspire/math/integrate/dae/explicit/variable_step/verner_8/mod.rs

conspire/math/integrate/dae/explicit/variable_step/verner_8/
mod.rs
