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
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
|
/*
[auto_generated]
libs/numeric/odeint/test/default_operations.cpp
[begin_description]
This file tests default_operations.
[end_description]
Copyright 2011-2012 Karsten Ahnert
Copyright 2011 Mario Mulansky
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)
*/
#define BOOST_TEST_MODULE odeint_standard_operations
#include <cmath>
#include <complex>
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/units/systems/si/length.hpp>
#include <boost/units/systems/si/time.hpp>
#include <boost/units/systems/si/velocity.hpp>
#include <boost/units/systems/si/acceleration.hpp>
#include <boost/units/systems/si/io.hpp>
#include <boost/mpl/list.hpp>
#include <boost/numeric/odeint/algebra/default_operations.hpp>
namespace units = boost::units;
namespace si = boost::units::si;
namespace mpl = boost::mpl;
using boost::numeric::odeint::default_operations;
template< class Value > struct internal_value_type { typedef Value type; };
template< class T > struct internal_value_type< std::complex< T > > { typedef T type; };
template< class T > struct default_eps;
template<> struct default_eps< double > { static double def_eps( void ) { return 1.0e-10; } };
template<> struct default_eps< float > { static float def_eps( void ) { return 1.0e-5; } };
typedef units::unit< units::derived_dimension< units::time_base_dimension , 2 >::type , si::system > time_2;
typedef units::unit< units::derived_dimension< units::time_base_dimension , 3 >::type , si::system > time_3;
typedef units::unit< units::derived_dimension< units::time_base_dimension , 4 >::type , si::system > time_4;
typedef units::unit< units::derived_dimension< units::time_base_dimension , 5 >::type , si::system > time_5;
typedef units::unit< units::derived_dimension< units::time_base_dimension , 6 >::type , si::system > time_6;
typedef units::unit< units::derived_dimension< units::time_base_dimension , 7 >::type , si::system > time_7;
const time_2 second2 = si::second * si::second;
const time_3 second3 = second2 * si::second;
const time_4 second4 = second3 * si::second;
const time_5 second5 = second4 * si::second;
const time_6 second6 = second5 * si::second;
const time_7 second7 = second6 * si::second;
template< class Value , class Compare = typename internal_value_type< Value >::type >
struct double_fixture
{
typedef Value value_type;
typedef Compare compare_type;
double_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() )
: m_eps( eps_ ) , res( 0.0 ) , x1( 1.0 ) , x2( 2.0 ) , x3( 3.0 ) , x4( 4.0 ) , x5( 5.0 ) , x6( 6.0 ) , x7( 7.0 ) , x8( 8.0 )
{}
~double_fixture( void )
{
using std::abs;
BOOST_CHECK_SMALL( abs( x1 - value_type( 1.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x2 - value_type( 2.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x3 - value_type( 3.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x4 - value_type( 4.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x5 - value_type( 5.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x6 - value_type( 6.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( x7 - value_type( 7.0 ) ) , m_eps );
}
const compare_type m_eps;
value_type res;
value_type x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8;
};
template< class Value , class Compare = typename internal_value_type< Value >::type >
struct unit_fixture
{
typedef Value value_type;
typedef Compare compare_type;
typedef units::quantity< si::length , value_type > length_type;
typedef units::quantity< si::time , value_type > time_type;
typedef units::quantity< time_2 , value_type > time_2_type;
typedef units::quantity< time_3 , value_type > time_3_type;
typedef units::quantity< time_4 , value_type > time_4_type;
typedef units::quantity< time_5 , value_type > time_5_type;
typedef units::quantity< time_6 , value_type > time_6_type;
typedef units::quantity< time_7 , value_type > time_7_type;
typedef units::quantity< si::velocity , value_type > velocity_type;
typedef units::quantity< si::acceleration , value_type > acceleration_type;
unit_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() )
: m_eps( eps_ )
, res( 0.0 * si::meter )
, x( 1.0 * si::meter )
, d1x( 2.0 * si::meter / si::second )
, d2x( 3.0 * si::meter / si::second / si::second )
{}
~unit_fixture( void )
{
using std::abs;
BOOST_CHECK_SMALL( abs( x.value() - value_type( 1.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( d1x.value() - value_type( 2.0 ) ) , m_eps );
BOOST_CHECK_SMALL( abs( d2x.value() - value_type( 3.0 ) ) , m_eps );
}
compare_type m_eps;
length_type res;
length_type x;
velocity_type d1x;
acceleration_type d2x;
};
typedef mpl::list< float , double , std::complex< double > > test_types;
BOOST_AUTO_TEST_SUITE( check_operations_test )
using std::abs;
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef typename default_operations::scale_sum2< T , T > Op;
Op op( 1.25 , 9.81 );
op( f.res , f.x1 , f.x2 );
BOOST_CHECK_SMALL( abs( f.res - T( 20.87 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::scale_sum3< T , T , T > Op;
Op op( 1.25 , 9.81 , 0.87 );
op( f.res , f.x1 , f.x2 , f.x3 );
BOOST_CHECK_SMALL( abs( f.res - T( 23.48 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum4_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::scale_sum4< T , T , T , T > Op;
Op op( 1.25 , 9.81 , 0.87 , -0.15 );
op( f.res , f.x1 , f.x2 , f.x3 , f.x4 );
BOOST_CHECK_SMALL( abs( f.res - T( 22.88 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum5_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::scale_sum5< T , T , T , T , T > Op;
Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 );
op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 );
BOOST_CHECK_SMALL( abs( f.res - T( 6.38 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum6_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::scale_sum6< T , T , T , T , T , T > Op;
Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 );
op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 );
BOOST_CHECK_SMALL( abs( f.res - T( 31.58 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum7_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::scale_sum7< T , T , T , T , T , T , T > Op;
Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 , -0.22 );
op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 , f.x7 );
BOOST_CHECK_SMALL( abs( f.res - T( 30.04 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( rel_error_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
f.res = -1.1;
typedef default_operations::rel_error< T > Op;
Op op( 0.1 , 0.2 , 0.15 , 0.12 );
op( f.res , -f.x1 , -f.x2 );
BOOST_CHECK_SMALL( abs( f.res - T( 6.17978 ) ) , typename fix_type::compare_type( 1.0e-4 ) );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( maximum_test , T , test_types )
{
typedef double_fixture< T > fix_type;
fix_type f;
typedef default_operations::maximum< typename fix_type::compare_type > Op;
Op op;
f.res = op( f.x1 , f.x2 );
BOOST_CHECK_SMALL( abs( f.res - T( 2.0 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_units_test , T , test_types )
{
typedef unit_fixture< T > fix_type;
typedef typename fix_type::value_type value_type;
typedef typename fix_type::time_type time_type;
fix_type f;
typedef default_operations::scale_sum2< value_type , time_type > Op;
Op op( 1.0 , time_type( 1.0 * si::second ) );
op( f.res , f.x , f.d1x );
BOOST_CHECK_SMALL( abs( f.res.value() - T( 3.0 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_units_test , T , test_types )
{
typedef unit_fixture< T > fix_type;
typedef typename fix_type::value_type value_type;
typedef typename fix_type::time_type time_type;
typedef typename fix_type::time_2_type time_2_type;
fix_type f;
typedef default_operations::scale_sum3< value_type , time_type , time_2_type > Op;
Op op( 1.0 , time_type( 1.0 * si::second ) , time_2_type( 1.0 * second2 ) );
op( f.res , f.x , f.d1x , f.d2x );
BOOST_CHECK_SMALL( abs( f.res.value() - T( 6.0 ) ) , f.m_eps );
}
BOOST_AUTO_TEST_SUITE_END()
|
