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1 | /* |
2 | [auto_generated] | |
3 | boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp | |
4 | ||
5 | [begin_description] | |
6 | Definition of the coefficients for the Adams-Bashforth 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_BASHFORTH_COEFFICIENTS_HPP_INCLUDED | |
19 | #define BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED | |
20 | ||
21 | #include <boost/array.hpp> | |
22 | ||
23 | ||
24 | namespace boost { | |
25 | namespace numeric { | |
26 | namespace odeint { | |
27 | namespace detail { | |
28 | ||
29 | template< class Value , size_t Steps > | |
30 | class adams_bashforth_coefficients ; | |
31 | ||
32 | template< class Value > | |
33 | class adams_bashforth_coefficients< Value , 1 > : public boost::array< Value , 1 > | |
34 | { | |
35 | public: | |
36 | adams_bashforth_coefficients( void ) | |
37 | : boost::array< Value , 1 >() | |
38 | { | |
39 | (*this)[0] = static_cast< Value >( 1 ); | |
40 | } | |
41 | }; | |
42 | ||
43 | ||
44 | template< class Value > | |
45 | class adams_bashforth_coefficients< Value , 2 > : public boost::array< Value , 2 > | |
46 | { | |
47 | public: | |
48 | adams_bashforth_coefficients( void ) | |
49 | : boost::array< Value , 2 >() | |
50 | { | |
51 | (*this)[0] = static_cast< Value >( 3 ) / static_cast< Value >( 2 ); | |
52 | (*this)[1] = -static_cast< Value >( 1 ) / static_cast< Value >( 2 ); | |
53 | } | |
54 | }; | |
55 | ||
56 | ||
57 | template< class Value > | |
58 | class adams_bashforth_coefficients< Value , 3 > : public boost::array< Value , 3 > | |
59 | { | |
60 | public: | |
61 | adams_bashforth_coefficients( void ) | |
62 | : boost::array< Value , 3 >() | |
63 | { | |
64 | (*this)[0] = static_cast< Value >( 23 ) / static_cast< Value >( 12 ); | |
65 | (*this)[1] = -static_cast< Value >( 4 ) / static_cast< Value >( 3 ); | |
66 | (*this)[2] = static_cast< Value >( 5 ) / static_cast< Value >( 12 ); | |
67 | } | |
68 | }; | |
69 | ||
70 | ||
71 | template< class Value > | |
72 | class adams_bashforth_coefficients< Value , 4 > : public boost::array< Value , 4 > | |
73 | { | |
74 | public: | |
75 | adams_bashforth_coefficients( void ) | |
76 | : boost::array< Value , 4 >() | |
77 | { | |
78 | (*this)[0] = static_cast< Value >( 55 ) / static_cast< Value >( 24 ); | |
79 | (*this)[1] = -static_cast< Value >( 59 ) / static_cast< Value >( 24 ); | |
80 | (*this)[2] = static_cast< Value >( 37 ) / static_cast< Value >( 24 ); | |
81 | (*this)[3] = -static_cast< Value >( 3 ) / static_cast< Value >( 8 ); | |
82 | } | |
83 | }; | |
84 | ||
85 | ||
86 | template< class Value > | |
87 | class adams_bashforth_coefficients< Value , 5 > : public boost::array< Value , 5 > | |
88 | { | |
89 | public: | |
90 | adams_bashforth_coefficients( void ) | |
91 | : boost::array< Value , 5 >() | |
92 | { | |
93 | (*this)[0] = static_cast< Value >( 1901 ) / static_cast< Value >( 720 ); | |
94 | (*this)[1] = -static_cast< Value >( 1387 ) / static_cast< Value >( 360 ); | |
95 | (*this)[2] = static_cast< Value >( 109 ) / static_cast< Value >( 30 ); | |
96 | (*this)[3] = -static_cast< Value >( 637 ) / static_cast< Value >( 360 ); | |
97 | (*this)[4] = static_cast< Value >( 251 ) / static_cast< Value >( 720 ); | |
98 | } | |
99 | }; | |
100 | ||
101 | ||
102 | template< class Value > | |
103 | class adams_bashforth_coefficients< Value , 6 > : public boost::array< Value , 6 > | |
104 | { | |
105 | public: | |
106 | adams_bashforth_coefficients( void ) | |
107 | : boost::array< Value , 6 >() | |
108 | { | |
109 | (*this)[0] = static_cast< Value >( 4277 ) / static_cast< Value >( 1440 ); | |
110 | (*this)[1] = -static_cast< Value >( 2641 ) / static_cast< Value >( 480 ); | |
111 | (*this)[2] = static_cast< Value >( 4991 ) / static_cast< Value >( 720 ); | |
112 | (*this)[3] = -static_cast< Value >( 3649 ) / static_cast< Value >( 720 ); | |
113 | (*this)[4] = static_cast< Value >( 959 ) / static_cast< Value >( 480 ); | |
114 | (*this)[5] = -static_cast< Value >( 95 ) / static_cast< Value >( 288 ); | |
115 | } | |
116 | }; | |
117 | ||
118 | ||
119 | template< class Value > | |
120 | class adams_bashforth_coefficients< Value , 7 > : public boost::array< Value , 7 > | |
121 | { | |
122 | public: | |
123 | adams_bashforth_coefficients( void ) | |
124 | : boost::array< Value , 7 >() | |
125 | { | |
126 | (*this)[0] = static_cast< Value >( 198721 ) / static_cast< Value >( 60480 ); | |
127 | (*this)[1] = -static_cast< Value >( 18637 ) / static_cast< Value >( 2520 ); | |
128 | (*this)[2] = static_cast< Value >( 235183 ) / static_cast< Value >( 20160 ); | |
129 | (*this)[3] = -static_cast< Value >( 10754 ) / static_cast< Value >( 945 ); | |
130 | (*this)[4] = static_cast< Value >( 135713 ) / static_cast< Value >( 20160 ); | |
131 | (*this)[5] = -static_cast< Value >( 5603 ) / static_cast< Value >( 2520 ); | |
132 | (*this)[6] = static_cast< Value >( 19087 ) / static_cast< Value >( 60480 ); | |
133 | } | |
134 | }; | |
135 | ||
136 | ||
137 | template< class Value > | |
138 | class adams_bashforth_coefficients< Value , 8 > : public boost::array< Value , 8 > | |
139 | { | |
140 | public: | |
141 | adams_bashforth_coefficients( void ) | |
142 | : boost::array< Value , 8 >() | |
143 | { | |
144 | (*this)[0] = static_cast< Value >( 16083 ) / static_cast< Value >( 4480 ); | |
145 | (*this)[1] = -static_cast< Value >( 1152169 ) / static_cast< Value >( 120960 ); | |
146 | (*this)[2] = static_cast< Value >( 242653 ) / static_cast< Value >( 13440 ); | |
147 | (*this)[3] = -static_cast< Value >( 296053 ) / static_cast< Value >( 13440 ); | |
148 | (*this)[4] = static_cast< Value >( 2102243 ) / static_cast< Value >( 120960 ); | |
149 | (*this)[5] = -static_cast< Value >( 115747 ) / static_cast< Value >( 13440 ); | |
150 | (*this)[6] = static_cast< Value >( 32863 ) / static_cast< Value >( 13440 ); | |
151 | (*this)[7] = -static_cast< Value >( 5257 ) / static_cast< Value >( 17280 ); | |
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_BASHFORTH_COEFFICIENTS_HPP_INCLUDED |