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			105 lines
		
	
	
		
			2.8 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
		
		
			
		
	
	
			105 lines
		
	
	
		
			2.8 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
|  | /*
 | ||
|  |  [auto_generated] | ||
|  |  libs/numeric/odeint/test/generic_stepper.cpp | ||
|  | 
 | ||
|  |  [begin_description] | ||
|  |  This file tests the generic stepper. | ||
|  |  [end_description] | ||
|  | 
 | ||
|  |  Copyright 2011 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)
 | ||
|  |  */ | ||
|  | 
 | ||
|  | // disable checked iterator warning for msvc
 | ||
|  | #include <boost/config.hpp>
 | ||
|  | #ifdef BOOST_MSVC
 | ||
|  |     #pragma warning(disable:4996)
 | ||
|  | #endif
 | ||
|  | 
 | ||
|  | #define BOOST_TEST_MODULE odeint_generic_stepper
 | ||
|  | 
 | ||
|  | #include <iostream>
 | ||
|  | #include <utility>
 | ||
|  | 
 | ||
|  | #include <boost/test/unit_test.hpp>
 | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/stepper/explicit_generic_rk.hpp>
 | ||
|  | #include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
 | ||
|  | #include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp>
 | ||
|  | 
 | ||
|  | #include <boost/array.hpp>
 | ||
|  | 
 | ||
|  | using namespace boost::unit_test; | ||
|  | using namespace boost::numeric::odeint; | ||
|  | 
 | ||
|  | namespace fusion = boost::fusion; | ||
|  | 
 | ||
|  | typedef double value_type; | ||
|  | typedef boost::array< value_type , 2 > state_type; | ||
|  | 
 | ||
|  | void sys( const state_type &x , state_type &dxdt , const value_type &t ) | ||
|  | { | ||
|  |     dxdt[ 0 ] = x[ 0 ] + 2 * x[ 1 ]; | ||
|  |     dxdt[ 1 ] = x[ 1 ]; | ||
|  | } | ||
|  | 
 | ||
|  | typedef explicit_generic_rk< 4 , 4 , state_type> rk_generic_type; | ||
|  | typedef runge_kutta4< state_type > rk4_generic_type; | ||
|  | 
 | ||
|  | const boost::array< double , 1 > a1 = {{ 0.5 }}; | ||
|  | const boost::array< double , 2 > a2 = {{ 0.0 , 0.5 }}; | ||
|  | const boost::array< double , 3 > a3 = {{ 0.0 , 0.0 , 1.0 }}; | ||
|  | 
 | ||
|  | const rk_generic_type::coef_a_type a = fusion::make_vector( a1 , a2 , a3 ); | ||
|  | const rk_generic_type::coef_b_type b = {{ 1.0/6 , 1.0/3 , 1.0/3 , 1.0/6 }}; | ||
|  | const rk_generic_type::coef_c_type c = {{ 0.0 , 0.5 , 0.5 , 1.0 }}; | ||
|  | 
 | ||
|  | typedef runge_kutta4_classic< state_type > rk4_type; | ||
|  | 
 | ||
|  | BOOST_AUTO_TEST_SUITE( generic_stepper_test ) | ||
|  | 
 | ||
|  | BOOST_AUTO_TEST_CASE( test_generic_stepper ) | ||
|  | { | ||
|  |     //simultaneously test copying
 | ||
|  |     rk_generic_type rk_generic_( a , b , c ); | ||
|  |     rk_generic_type rk_generic = rk_generic_; | ||
|  | 
 | ||
|  |     rk4_generic_type rk4_generic_; | ||
|  |     rk4_generic_type rk4_generic = rk4_generic_; | ||
|  | 
 | ||
|  |     //std::cout << stepper;
 | ||
|  | 
 | ||
|  |     rk4_type rk4_; | ||
|  |     rk4_type rk4 = rk4_; | ||
|  | 
 | ||
|  |     typedef rk_generic_type::state_type state_type; | ||
|  |     typedef rk_generic_type::value_type stepper_value_type; | ||
|  |     typedef rk_generic_type::deriv_type deriv_type; | ||
|  |     typedef rk_generic_type::time_type time_type; | ||
|  | 
 | ||
|  |     state_type x = {{ 0.0 , 1.0 }}; | ||
|  |     state_type y = x; | ||
|  |     state_type z = x; | ||
|  | 
 | ||
|  |     rk_generic.do_step( sys , x , 0.0 , 0.1 ); | ||
|  | 
 | ||
|  |     rk4_generic.do_step( sys , y , 0.0 , 0.1 ); | ||
|  | 
 | ||
|  |     rk4.do_step( sys , z , 0.0 , 0.1 ); | ||
|  | 
 | ||
|  |     BOOST_CHECK_NE( 0.0 , x[0] ); | ||
|  |     BOOST_CHECK_NE( 1.0 , x[1] ); | ||
|  |     // compare with analytic solution of above system
 | ||
|  |     BOOST_CHECK_EQUAL( x[0] , y[0] ); | ||
|  |     BOOST_CHECK_EQUAL( x[1] , y[1] ); | ||
|  |     BOOST_CHECK_EQUAL( x[0] , z[0] ); | ||
|  |     BOOST_CHECK_EQUAL( x[1] , z[1] ); | ||
|  | 
 | ||
|  | } | ||
|  | 
 | ||
|  | BOOST_AUTO_TEST_SUITE_END() |