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1/*
2 [auto_generated]
3 boost/numeric/odeint/stepper/detail/adams_moulton_coefficients.hpp
4
5 [begin_description]
6 Coefficients for the Adams Moulton method.
7 [end_description]
8
9 Copyright 2011-2012 Karsten Ahnert
10 Copyright 2011-2012 Mario Mulansky
11
12 Distributed under the Boost Software License, Version 1.0.
13 (See accompanying file LICENSE_1_0.txt or
14 copy at http://www.boost.org/LICENSE_1_0.txt)
15 */
16
17
18#ifndef BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_MOULTON_COEFFICIENTS_HPP_INCLUDED
19#define BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_MOULTON_COEFFICIENTS_HPP_INCLUDED
20
21
22#include <boost/array.hpp>
23
24
25namespace boost {
26namespace numeric {
27namespace odeint {
28namespace detail {
29
30template< class Value , size_t Steps >
31class adams_moulton_coefficients ;
32
33template< class Value >
34class adams_moulton_coefficients< Value , 1 > : public boost::array< Value , 1 >
35{
36public:
37 adams_moulton_coefficients( void )
38 : boost::array< Value , 1 >()
39 {
40 (*this)[0] = static_cast< Value >( 1 );
41 }
42};
43
44
45template< class Value >
46class adams_moulton_coefficients< Value , 2 > : public boost::array< Value , 2 >
47{
48public:
49 adams_moulton_coefficients( void )
50 : boost::array< Value , 2 >()
51 {
52 (*this)[0] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
53 (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
54 }
55};
56
57
58template< class Value >
59class adams_moulton_coefficients< Value , 3 > : public boost::array< Value , 3 >
60{
61public:
62 adams_moulton_coefficients( void )
63 : boost::array< Value , 3 >()
64 {
65 (*this)[0] = static_cast< Value >( 5 ) / static_cast< Value >( 12 );
66 (*this)[1] = static_cast< Value >( 2 ) / static_cast< Value >( 3 );
67 (*this)[2] = -static_cast< Value >( 1 ) / static_cast< Value >( 12 );
68 }
69};
70
71
72template< class Value >
73class adams_moulton_coefficients< Value , 4 > : public boost::array< Value , 4 >
74{
75public:
76 adams_moulton_coefficients( void )
77 : boost::array< Value , 4 >()
78 {
79 (*this)[0] = static_cast< Value >( 3 ) / static_cast< Value >( 8 );
80 (*this)[1] = static_cast< Value >( 19 ) / static_cast< Value >( 24 );
81 (*this)[2] = -static_cast< Value >( 5 ) / static_cast< Value >( 24 );
82 (*this)[3] = static_cast< Value >( 1 ) / static_cast< Value >( 24 );
83 }
84};
85
86
87template< class Value >
88class adams_moulton_coefficients< Value , 5 > : public boost::array< Value , 5 >
89{
90public:
91 adams_moulton_coefficients( void )
92 : boost::array< Value , 5 >()
93 {
94 (*this)[0] = static_cast< Value >( 251 ) / static_cast< Value >( 720 );
95 (*this)[1] = static_cast< Value >( 323 ) / static_cast< Value >( 360 );
96 (*this)[2] = -static_cast< Value >( 11 ) / static_cast< Value >( 30 );
97 (*this)[3] = static_cast< Value >( 53 ) / static_cast< Value >( 360 );
98 (*this)[4] = -static_cast< Value >( 19 ) / static_cast< Value >( 720 );
99 }
100};
101
102
103template< class Value >
104class adams_moulton_coefficients< Value , 6 > : public boost::array< Value , 6 >
105{
106public:
107 adams_moulton_coefficients( void )
108 : boost::array< Value , 6 >()
109 {
110 (*this)[0] = static_cast< Value >( 95 ) / static_cast< Value >( 288 );
111 (*this)[1] = static_cast< Value >( 1427 ) / static_cast< Value >( 1440 );
112 (*this)[2] = -static_cast< Value >( 133 ) / static_cast< Value >( 240 );
113 (*this)[3] = static_cast< Value >( 241 ) / static_cast< Value >( 720 );
114 (*this)[4] = -static_cast< Value >( 173 ) / static_cast< Value >( 1440 );
115 (*this)[5] = static_cast< Value >( 3 ) / static_cast< Value >( 160 );
116 }
117};
118
119template< class Value >
120class adams_moulton_coefficients< Value , 7 > : public boost::array< Value , 7 >
121{
122public:
123 adams_moulton_coefficients( void )
124 : boost::array< Value , 7 >()
125 {
126 (*this)[0] = static_cast< Value >( 19087 ) / static_cast< Value >( 60480 );
127 (*this)[1] = static_cast< Value >( 2713 ) / static_cast< Value >( 2520 );
128 (*this)[2] = -static_cast< Value >( 15487 ) / static_cast< Value >( 20160 );
129 (*this)[3] = static_cast< Value >( 586 ) / static_cast< Value >( 945 );
130 (*this)[4] = -static_cast< Value >( 6737 ) / static_cast< Value >( 20160 );
131 (*this)[5] = static_cast< Value >( 263 ) / static_cast< Value >( 2520 );
132 (*this)[6] = -static_cast< Value >( 863 ) / static_cast< Value >( 60480 );
133 }
134};
135
136
137template< class Value >
138class adams_moulton_coefficients< Value , 8 > : public boost::array< Value , 8 >
139{
140public:
141 adams_moulton_coefficients( void )
142 : boost::array< Value , 8 >()
143 {
144 (*this)[0] = static_cast< Value >( 5257 ) / static_cast< Value >( 17280 );
145 (*this)[1] = static_cast< Value >( 139849 ) / static_cast< Value >( 120960 );
146 (*this)[2] = -static_cast< Value >( 4511 ) / static_cast< Value >( 4480 );
147 (*this)[3] = static_cast< Value >( 123133 ) / static_cast< Value >( 120960 );
148 (*this)[4] = -static_cast< Value >( 88547 ) / static_cast< Value >( 120960 );
149 (*this)[5] = static_cast< Value >( 1537 ) / static_cast< Value >( 4480 );
150 (*this)[6] = -static_cast< Value >( 11351 ) / static_cast< Value >( 120960 );
151 (*this)[7] = static_cast< Value >( 275 ) / static_cast< Value >( 24192 );
152 }
153};
154
155
156
157
158
159
160
161} // detail
162} // odeint
163} // numeric
164} // boost
165
166
167
168#endif // BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_MOULTON_COEFFICIENTS_HPP_INCLUDED