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1 | /* |
2 | [auto_generated] | |
3 | libs/numeric/odeint/test/rosenbrock4.cpp | |
4 | ||
5 | [begin_description] | |
6 | This file tests the Rosenbrock 4 stepper and its controller and dense output stepper. | |
7 | [end_description] | |
8 | ||
9 | Copyright 2011-2012 Karsten Ahnert | |
10 | Copyright 2011 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 | // disable checked iterator warning for msvc | |
18 | #include <boost/config.hpp> | |
19 | #ifdef BOOST_MSVC | |
20 | #pragma warning(disable:4996) | |
21 | #endif | |
22 | ||
23 | #define BOOST_TEST_MODULE odeint_rosenbrock4 | |
24 | ||
25 | #include <utility> | |
26 | #include <iostream> | |
27 | ||
28 | #include <boost/test/unit_test.hpp> | |
29 | ||
30 | #include <boost/numeric/odeint/stepper/rosenbrock4.hpp> | |
31 | #include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp> | |
32 | #include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp> | |
33 | ||
34 | #include <boost/numeric/ublas/vector.hpp> | |
35 | #include <boost/numeric/ublas/matrix.hpp> | |
36 | ||
37 | using namespace boost::unit_test; | |
38 | using namespace boost::numeric::odeint; | |
39 | ||
40 | typedef double value_type; | |
41 | typedef boost::numeric::ublas::vector< value_type > state_type; | |
42 | typedef boost::numeric::ublas::matrix< value_type > matrix_type; | |
43 | ||
44 | ||
45 | struct sys | |
46 | { | |
47 | void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const | |
48 | { | |
49 | dxdt( 0 ) = x( 0 ) + 2 * x( 1 ); | |
50 | dxdt( 1 ) = x( 1 ); | |
51 | } | |
52 | }; | |
53 | ||
54 | struct jacobi | |
55 | { | |
56 | void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const | |
57 | { | |
58 | jacobi( 0 , 0 ) = 1; | |
59 | jacobi( 0 , 1 ) = 2; | |
60 | jacobi( 1 , 0 ) = 0; | |
61 | jacobi( 1 , 1 ) = 1; | |
62 | dfdt( 0 ) = 0.0; | |
63 | dfdt( 1 ) = 0.0; | |
64 | } | |
65 | }; | |
66 | ||
67 | BOOST_AUTO_TEST_SUITE( rosenbrock4_test ) | |
68 | ||
69 | BOOST_AUTO_TEST_CASE( test_rosenbrock4_stepper ) | |
70 | { | |
71 | typedef rosenbrock4< value_type > stepper_type; | |
72 | stepper_type stepper; | |
73 | ||
74 | typedef stepper_type::state_type state_type; | |
75 | typedef stepper_type::value_type stepper_value_type; | |
76 | typedef stepper_type::deriv_type deriv_type; | |
77 | typedef stepper_type::time_type time_type; | |
78 | ||
79 | state_type x( 2 ) , xerr( 2 ); | |
80 | x(0) = 0.0; x(1) = 1.0; | |
81 | ||
82 | stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 , xerr ); | |
83 | ||
84 | stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 ); | |
85 | ||
86 | // using std::abs; | |
87 | // value_type eps = 1E-12; | |
88 | // | |
89 | // // compare with analytic solution of above system | |
90 | // BOOST_CHECK_SMALL( abs( x(0) - 20.0/81.0 ) , eps ); | |
91 | // BOOST_CHECK_SMALL( abs( x(1) - 10.0/9.0 ) , eps ); | |
92 | ||
93 | } | |
94 | ||
95 | BOOST_AUTO_TEST_CASE( test_rosenbrock4_controller ) | |
96 | { | |
97 | typedef rosenbrock4_controller< rosenbrock4< value_type > > stepper_type; | |
98 | stepper_type stepper; | |
99 | ||
100 | typedef stepper_type::state_type state_type; | |
101 | typedef stepper_type::value_type stepper_value_type; | |
102 | typedef stepper_type::deriv_type deriv_type; | |
103 | typedef stepper_type::time_type time_type; | |
104 | ||
105 | state_type x( 2 ); | |
106 | x( 0 ) = 0.0 ; x(1) = 1.0; | |
107 | ||
108 | value_type t = 0.0 , dt = 0.01; | |
109 | stepper.try_step( std::make_pair( sys() , jacobi() ) , x , t , dt ); | |
110 | } | |
111 | ||
112 | BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output ) | |
113 | { | |
114 | typedef rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > > stepper_type; | |
115 | typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; | |
116 | controlled_stepper_type c_stepper; | |
117 | stepper_type stepper( c_stepper ); | |
118 | ||
119 | typedef stepper_type::state_type state_type; | |
120 | typedef stepper_type::value_type stepper_value_type; | |
121 | typedef stepper_type::deriv_type deriv_type; | |
122 | typedef stepper_type::time_type time_type; | |
123 | state_type x( 2 ); | |
124 | x( 0 ) = 0.0 ; x(1) = 1.0; | |
125 | stepper.initialize( x , 0.0 , 0.1 ); | |
126 | std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) ); | |
127 | stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x ); | |
128 | } | |
129 | ||
92f5a8d4 TL |
130 | class rosenbrock4_controller_max_dt_adaptable : public rosenbrock4_controller< rosenbrock4< value_type > > |
131 | { | |
132 | public: | |
133 | void set_max_dt(value_type max_dt) | |
134 | { | |
135 | m_max_dt = max_dt; | |
136 | } | |
137 | }; | |
138 | ||
139 | BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output_ref ) | |
140 | { | |
141 | typedef rosenbrock4_dense_output< boost::reference_wrapper< rosenbrock4_controller_max_dt_adaptable > > stepper_type; | |
142 | rosenbrock4_controller_max_dt_adaptable c_stepper; | |
143 | stepper_type stepper( boost::ref( c_stepper ) ); | |
144 | ||
145 | typedef stepper_type::state_type state_type; | |
146 | typedef stepper_type::value_type stepper_value_type; | |
147 | typedef stepper_type::deriv_type deriv_type; | |
148 | typedef stepper_type::time_type time_type; | |
149 | state_type x( 2 ); | |
150 | x( 0 ) = 0.0 ; x(1) = 1.0; | |
151 | stepper.initialize( x , 0.0 , 0.1 ); | |
152 | std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) ); | |
153 | stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x ); | |
154 | ||
155 | // adapt the maximal step size to a small value (smaller than the step size) and make a step | |
156 | const double max_dt = 1e-8; | |
157 | c_stepper.set_max_dt(max_dt); | |
158 | stepper.do_step( std::make_pair( sys() , jacobi() ) ); | |
159 | // check if the step was done with the requested maximal step size | |
160 | BOOST_CHECK_CLOSE(max_dt, stepper.current_time_step(), 1e-14); | |
161 | } | |
162 | ||
7c673cae FG |
163 | BOOST_AUTO_TEST_CASE( test_rosenbrock4_copy_dense_output ) |
164 | { | |
165 | typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; | |
166 | typedef rosenbrock4_dense_output< controlled_stepper_type > stepper_type; | |
167 | ||
168 | controlled_stepper_type c_stepper; | |
169 | stepper_type stepper( c_stepper ); | |
170 | stepper_type stepper2( stepper ); | |
171 | } | |
172 | ||
173 | BOOST_AUTO_TEST_SUITE_END() |