blob: 033da2ead293c2f329318a7a9607ea8ef2c73cbc (
plain)
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
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
|
/*************************************************************************
* Copyright (C) 2009-2010 Tavian Barnes <tavianator@gmail.com> *
* *
* This file is part of The vZ Library. *
* *
* The vZ Library is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Lesser General Public License as *
* published by the Free Software Foundation; either version 3 of the *
* License, or (at your option) any later version. *
* *
* The vZ Library is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this program. If not, see *
* <http://www.gnu.org/licenses/>. *
*************************************************************************/
#ifndef VZ_EULER_HPP
#define VZ_EULER_HPP
namespace vZ
{
// Euler method
//
// Simplest Runge-Kutta method
// First order
// Its tableau is:
//
// 0 |
// --+--
// | 1
//
// y[n + 1] = y[n] + dt*f(y[n])
template <typename Y>
class GenericEulerIntegrator : public GenericSimpleIntegrator<Y>
{
public:
typedef typename GenericSimpleIntegrator<Y>::Scalar Scalar;
typedef typename GenericSimpleIntegrator<Y>::Function Function;
GenericEulerIntegrator(Function f)
: GenericSimpleIntegrator<Y>(f, s_a, s_b) { }
~GenericEulerIntegrator() { }
private:
typedef typename GenericSimpleIntegrator<Y>::ACoefficients ACoefficients;
typedef typename GenericSimpleIntegrator<Y>::BCoefficients BCoefficients;
static ACoefficients s_a;
static BCoefficients s_b;
static Scalar s_bArr[1];
};
// Type alias
typedef GenericEulerIntegrator<double> EulerIntegrator;
// Implementation
template <typename Y>
typename GenericEulerIntegrator<Y>::Scalar
GenericEulerIntegrator<Y>::s_bArr[1] = {
Scalar(1)
};
template <typename Y>
typename GenericEulerIntegrator<Y>::ACoefficients
GenericEulerIntegrator<Y>::s_a;
template <typename Y>
typename GenericEulerIntegrator<Y>::BCoefficients
GenericEulerIntegrator<Y>::s_b(s_bArr, s_bArr + 1);
}
#endif // VZ_EULER_HPP
|
