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- /*
- * rosenbrock4.cpp
- *
- * Copyright 2010-2012 Mario Mulansky
- * Copyright 2011-2012 Karsten Ahnert
- * Copyright 2012 Andreas Angelopoulos
- *
- * 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 <iostream>
- #include <fstream>
- #include <utility>
- #include <boost/numeric/odeint.hpp>
- #include <boost/phoenix/core.hpp>
- #include <boost/phoenix/core.hpp>
- #include <boost/phoenix/operator.hpp>
- using namespace std;
- using namespace boost::numeric::odeint;
- namespace phoenix = boost::phoenix;
- //[ stiff_system_definition
- typedef boost::numeric::ublas::vector< double > vector_type;
- typedef boost::numeric::ublas::matrix< double > matrix_type;
- struct stiff_system
- {
- void operator()( const vector_type &x , vector_type &dxdt , double /* t */ )
- {
- dxdt[ 0 ] = -101.0 * x[ 0 ] - 100.0 * x[ 1 ];
- dxdt[ 1 ] = x[ 0 ];
- }
- };
- struct stiff_system_jacobi
- {
- void operator()( const vector_type & /* x */ , matrix_type &J , const double & /* t */ , vector_type &dfdt )
- {
- J( 0 , 0 ) = -101.0;
- J( 0 , 1 ) = -100.0;
- J( 1 , 0 ) = 1.0;
- J( 1 , 1 ) = 0.0;
- dfdt[0] = 0.0;
- dfdt[1] = 0.0;
- }
- };
- //]
- /*
- //[ stiff_system_alternative_definition
- typedef boost::numeric::ublas::vector< double > vector_type;
- typedef boost::numeric::ublas::matrix< double > matrix_type;
- struct stiff_system
- {
- template< class State >
- void operator()( const State &x , State &dxdt , double t )
- {
- ...
- }
- };
- struct stiff_system_jacobi
- {
- template< class State , class Matrix >
- void operator()( const State &x , Matrix &J , const double &t , State &dfdt )
- {
- ...
- }
- };
- //]
- */
- int main( int argc , char **argv )
- {
- // typedef rosenbrock4< double > stepper_type;
- // typedef rosenbrock4_controller< stepper_type > controlled_stepper_type;
- // typedef rosenbrock4_dense_output< controlled_stepper_type > dense_output_type;
- //[ integrate_stiff_system
- vector_type x( 2 , 1.0 );
- size_t num_of_steps = integrate_const( make_dense_output< rosenbrock4< double > >( 1.0e-6 , 1.0e-6 ) ,
- make_pair( stiff_system() , stiff_system_jacobi() ) ,
- x , 0.0 , 50.0 , 0.01 ,
- cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" );
- //]
- clog << num_of_steps << endl;
- // typedef runge_kutta_dopri5< vector_type > dopri5_type;
- // typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type;
- // typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type;
- //[ integrate_stiff_system_alternative
- vector_type x2( 2 , 1.0 );
- size_t num_of_steps2 = integrate_const( make_dense_output< runge_kutta_dopri5< vector_type > >( 1.0e-6 , 1.0e-6 ) ,
- stiff_system() , x2 , 0.0 , 50.0 , 0.01 ,
- cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" );
- //]
- clog << num_of_steps2 << endl;
- return 0;
- }
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