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
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
|
/*
[auto_generated]
libs/numeric/odeint/test/trivial_state.cpp
[begin_description]
This file tests if the steppers can integrate the trivial state consisting of a single double.
[end_description]
Copyright 2012-2013 Mario Mulansky
Copyright 2012 Karsten Ahnert
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or
copy at http://www.boost.org/LICENSE_1_0.txt)
*/
#include <limits>
// disable checked iterator warning for msvc
#include <boost/config.hpp>
#ifdef BOOST_MSVC
#pragma warning(disable:4996)
#endif
#define BOOST_TEST_MODULE odeint_trivial_state
#include <boost/test/unit_test.hpp>
#include <boost/mpl/vector.hpp>
#include <boost/mpl/int.hpp>
#include <boost/mpl/at.hpp>
#include <boost/numeric/odeint/stepper/euler.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
#include <boost/numeric/odeint/stepper/generation.hpp>
#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp>
using namespace boost::unit_test;
using namespace boost::numeric::odeint;
namespace mpl = boost::mpl;
struct constant_system
{
template< typename T >
void operator()( const T &x , T &dxdt , const T t ) const
{ dxdt = 1.0; }
};
BOOST_AUTO_TEST_SUITE( trivial_state_test )
/* test different do_step methods of simple steppers */
typedef mpl::vector<
euler< double > ,
runge_kutta4< double > ,
// with floats all four parameters have to be given explicitly to override default double
euler< float , float , float , float > ,
runge_kutta4< float , float , float , float >
>::type stepper_types;
BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step , T, stepper_types )
{
typedef T stepper_type;
stepper_type stepper;
typename stepper_type::state_type x = 0.0;
typename stepper_type::time_type t = 0.0;
typename stepper_type::time_type dt = 0.1;
stepper.do_step( constant_system() , x , t , dt );
BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
// this overload is not allowed if the types of dxdt and dt are the same
// deriv_type dxdt = 1.0;
// stepper.do_step( constant_system , x , dxdt , t , dt );
typename stepper_type::state_type x_out;
stepper.do_step( constant_system() , x , t , x_out , dt );
BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
BOOST_CHECK_CLOSE( x_out , 0.2 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
}
/* test integrate_adaptive with controlled steppers */
typedef mpl::vector<
runge_kutta_cash_karp54< double > ,
runge_kutta_dopri5< double > ,
// with floats all four parameters have to be given explicitly to override default double
runge_kutta_cash_karp54< float , float , float , float > ,
runge_kutta_dopri5< float , float , float , float >
> error_stepper_types;
BOOST_AUTO_TEST_CASE_TEMPLATE( test_integrate , T , error_stepper_types )
{
typedef T stepper_type;
typename stepper_type::state_type x = 0.0;
typename stepper_type::time_type t0 = 0.0;
typename stepper_type::time_type t1 = 1.0;
typename stepper_type::time_type dt = 0.1;
integrate_adaptive( make_controlled< stepper_type >( 1e-6 , 1e-6 ) , constant_system() , x , t0 , t1 , dt );
BOOST_CHECK_CLOSE( x , 1.0 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
}
BOOST_AUTO_TEST_SUITE_END()
|
