1 /*
2 [auto_generated]
3 libs/numeric/odeint/test/default_operations.cpp
4
5 [begin_description]
6 This file tests default_operations.
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
18 #define BOOST_TEST_MODULE odeint_standard_operations
19
20 #include <cmath>
21 #include <complex>
22
23 #include <boost/test/unit_test.hpp>
24 #include <boost/test/floating_point_comparison.hpp>
25
26 #include <boost/units/systems/si/length.hpp>
27 #include <boost/units/systems/si/time.hpp>
28 #include <boost/units/systems/si/velocity.hpp>
29 #include <boost/units/systems/si/acceleration.hpp>
30 #include <boost/units/systems/si/io.hpp>
31
32 #include <boost/mpl/list.hpp>
33
34 #include <boost/numeric/odeint/algebra/default_operations.hpp>
35
36 namespace units = boost::units;
37 namespace si = boost::units::si;
38 namespace mpl = boost::mpl;
39 using boost::numeric::odeint::default_operations;
40
41
42 template< class Value > struct internal_value_type { typedef Value type; };
43 template< class T > struct internal_value_type< std::complex< T > > { typedef T type; };
44
45 template< class T > struct default_eps;
def_epsdefault_eps46 template<> struct default_eps< double > { static double def_eps( void ) { return 1.0e-10; } };
def_epsdefault_eps47 template<> struct default_eps< float > { static float def_eps( void ) { return 1.0e-5; } };
48
49
50 typedef units::unit< units::derived_dimension< units::time_base_dimension , 2 >::type , si::system > time_2;
51 typedef units::unit< units::derived_dimension< units::time_base_dimension , 3 >::type , si::system > time_3;
52 typedef units::unit< units::derived_dimension< units::time_base_dimension , 4 >::type , si::system > time_4;
53 typedef units::unit< units::derived_dimension< units::time_base_dimension , 5 >::type , si::system > time_5;
54 typedef units::unit< units::derived_dimension< units::time_base_dimension , 6 >::type , si::system > time_6;
55 typedef units::unit< units::derived_dimension< units::time_base_dimension , 7 >::type , si::system > time_7;
56
57 const time_2 second2 = si::second * si::second;
58 const time_3 second3 = second2 * si::second;
59 const time_4 second4 = second3 * si::second;
60 const time_5 second5 = second4 * si::second;
61 const time_6 second6 = second5 * si::second;
62 const time_7 second7 = second6 * si::second;
63
64
65
66
67 template< class Value , class Compare = typename internal_value_type< Value >::type >
68 struct double_fixture
69 {
70 typedef Value value_type;
71 typedef Compare compare_type;
72
double_fixturedouble_fixture73 double_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() )
74 : 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 )
75 {}
76
~double_fixturedouble_fixture77 ~double_fixture( void )
78 {
79 using std::abs;
80 BOOST_CHECK_SMALL( abs( x1 - value_type( 1.0 ) ) , m_eps );
81 BOOST_CHECK_SMALL( abs( x2 - value_type( 2.0 ) ) , m_eps );
82 BOOST_CHECK_SMALL( abs( x3 - value_type( 3.0 ) ) , m_eps );
83 BOOST_CHECK_SMALL( abs( x4 - value_type( 4.0 ) ) , m_eps );
84 BOOST_CHECK_SMALL( abs( x5 - value_type( 5.0 ) ) , m_eps );
85 BOOST_CHECK_SMALL( abs( x6 - value_type( 6.0 ) ) , m_eps );
86 BOOST_CHECK_SMALL( abs( x7 - value_type( 7.0 ) ) , m_eps );
87 }
88
89 const compare_type m_eps;
90 value_type res;
91 value_type x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8;
92 };
93
94 template< class Value , class Compare = typename internal_value_type< Value >::type >
95 struct unit_fixture
96 {
97 typedef Value value_type;
98 typedef Compare compare_type;
99 typedef units::quantity< si::length , value_type > length_type;
100
101 typedef units::quantity< si::time , value_type > time_type;
102 typedef units::quantity< time_2 , value_type > time_2_type;
103 typedef units::quantity< time_3 , value_type > time_3_type;
104 typedef units::quantity< time_4 , value_type > time_4_type;
105 typedef units::quantity< time_5 , value_type > time_5_type;
106 typedef units::quantity< time_6 , value_type > time_6_type;
107 typedef units::quantity< time_7 , value_type > time_7_type;
108
109 typedef units::quantity< si::velocity , value_type > velocity_type;
110 typedef units::quantity< si::acceleration , value_type > acceleration_type;
111
unit_fixtureunit_fixture112 unit_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() )
113 : m_eps( eps_ )
114 , res( 0.0 * si::meter )
115 , x( 1.0 * si::meter )
116 , d1x( 2.0 * si::meter / si::second )
117 , d2x( 3.0 * si::meter / si::second / si::second )
118 {}
119
~unit_fixtureunit_fixture120 ~unit_fixture( void )
121 {
122 using std::abs;
123 BOOST_CHECK_SMALL( abs( x.value() - value_type( 1.0 ) ) , m_eps );
124 BOOST_CHECK_SMALL( abs( d1x.value() - value_type( 2.0 ) ) , m_eps );
125 BOOST_CHECK_SMALL( abs( d2x.value() - value_type( 3.0 ) ) , m_eps );
126 }
127
128 compare_type m_eps;
129 length_type res;
130 length_type x;
131 velocity_type d1x;
132 acceleration_type d2x;
133 };
134
135
136 typedef mpl::list< float , double , std::complex< double > > test_types;
137
138 BOOST_AUTO_TEST_SUITE( check_operations_test )
139
140 using std::abs;
141
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum2_test,T,test_types)142 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_test , T , test_types )
143 {
144 typedef double_fixture< T > fix_type;
145 fix_type f;
146 typedef typename default_operations::scale_sum2< T , T > Op;
147 Op op( 1.25 , 9.81 );
148 op( f.res , f.x1 , f.x2 );
149 BOOST_CHECK_SMALL( abs( f.res - T( 20.87 ) ) , f.m_eps );
150 }
151
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum3_test,T,test_types)152 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_test , T , test_types )
153 {
154 typedef double_fixture< T > fix_type;
155 fix_type f;
156 typedef default_operations::scale_sum3< T , T , T > Op;
157 Op op( 1.25 , 9.81 , 0.87 );
158 op( f.res , f.x1 , f.x2 , f.x3 );
159 BOOST_CHECK_SMALL( abs( f.res - T( 23.48 ) ) , f.m_eps );
160 }
161
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum4_test,T,test_types)162 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum4_test , T , test_types )
163 {
164 typedef double_fixture< T > fix_type;
165 fix_type f;
166 typedef default_operations::scale_sum4< T , T , T , T > Op;
167 Op op( 1.25 , 9.81 , 0.87 , -0.15 );
168 op( f.res , f.x1 , f.x2 , f.x3 , f.x4 );
169 BOOST_CHECK_SMALL( abs( f.res - T( 22.88 ) ) , f.m_eps );
170 }
171
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum5_test,T,test_types)172 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum5_test , T , test_types )
173 {
174 typedef double_fixture< T > fix_type;
175 fix_type f;
176 typedef default_operations::scale_sum5< T , T , T , T , T > Op;
177 Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 );
178 op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 );
179 BOOST_CHECK_SMALL( abs( f.res - T( 6.38 ) ) , f.m_eps );
180 }
181
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum6_test,T,test_types)182 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum6_test , T , test_types )
183 {
184 typedef double_fixture< T > fix_type;
185 fix_type f;
186 typedef default_operations::scale_sum6< T , T , T , T , T , T > Op;
187 Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 );
188 op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 );
189 BOOST_CHECK_SMALL( abs( f.res - T( 31.58 ) ) , f.m_eps );
190 }
191
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum7_test,T,test_types)192 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum7_test , T , test_types )
193 {
194 typedef double_fixture< T > fix_type;
195 fix_type f;
196 typedef default_operations::scale_sum7< T , T , T , T , T , T , T > Op;
197 Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 , -0.22 );
198 op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 , f.x7 );
199 BOOST_CHECK_SMALL( abs( f.res - T( 30.04 ) ) , f.m_eps );
200 }
201
BOOST_AUTO_TEST_CASE_TEMPLATE(rel_error_test,T,test_types)202 BOOST_AUTO_TEST_CASE_TEMPLATE( rel_error_test , T , test_types )
203 {
204 typedef double_fixture< T > fix_type;
205 fix_type f;
206 f.res = -1.1;
207 typedef default_operations::rel_error< T > Op;
208 Op op( 0.1 , 0.2 , 0.15 , 0.12 );
209 op( f.res , -f.x1 , -f.x2 );
210 BOOST_CHECK_SMALL( abs( f.res - T( 6.17978 ) ) , typename fix_type::compare_type( 1.0e-4 ) );
211 }
212
BOOST_AUTO_TEST_CASE_TEMPLATE(maximum_test,T,test_types)213 BOOST_AUTO_TEST_CASE_TEMPLATE( maximum_test , T , test_types )
214 {
215 typedef double_fixture< T > fix_type;
216 fix_type f;
217 typedef default_operations::maximum< typename fix_type::compare_type > Op;
218 Op op;
219 f.res = op( f.x1 , f.x2 );
220 BOOST_CHECK_SMALL( abs( f.res - T( 2.0 ) ) , f.m_eps );
221 }
222
223
224
225
226
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum2_units_test,T,test_types)227 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_units_test , T , test_types )
228 {
229 typedef unit_fixture< T > fix_type;
230 typedef typename fix_type::value_type value_type;
231 typedef typename fix_type::time_type time_type;
232
233 fix_type f;
234 typedef default_operations::scale_sum2< value_type , time_type > Op;
235 Op op( 1.0 , time_type( 1.0 * si::second ) );
236 op( f.res , f.x , f.d1x );
237 BOOST_CHECK_SMALL( abs( f.res.value() - T( 3.0 ) ) , f.m_eps );
238 }
239
BOOST_AUTO_TEST_CASE_TEMPLATE(scale_sum3_units_test,T,test_types)240 BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_units_test , T , test_types )
241 {
242 typedef unit_fixture< T > fix_type;
243 typedef typename fix_type::value_type value_type;
244 typedef typename fix_type::time_type time_type;
245 typedef typename fix_type::time_2_type time_2_type;
246
247 fix_type f;
248 typedef default_operations::scale_sum3< value_type , time_type , time_2_type > Op;
249 Op op( 1.0 , time_type( 1.0 * si::second ) , time_2_type( 1.0 * second2 ) );
250 op( f.res , f.x , f.d1x , f.d2x );
251 BOOST_CHECK_SMALL( abs( f.res.value() - T( 6.0 ) ) , f.m_eps );
252 }
253
254
255
256
257 BOOST_AUTO_TEST_SUITE_END()
258