comparison DEPENDENCIES/generic/include/boost/numeric/odeint/stepper/adams_bashforth.hpp @ 16:2665513ce2d3

Add boost headers

+/*
+ [auto_generated]
+ boost/numeric/odeint/stepper/adams_bashforth.hpp
+
+ [begin_description]
+ Implementaton of the Adam-Bashforth method a multistep method used for the predictor step in the
+ Adams-Bashforth-Moulton method.
+ [end_description]
+
+ Copyright 2009-2011 Karsten Ahnert
+ Copyright 2009-2011 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)
+ */
+
+
+#ifndef BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_BASHFORTH_HPP_INCLUDED
+#define BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_BASHFORTH_HPP_INCLUDED
+
+#include <boost/static_assert.hpp>
+
+#include <boost/numeric/odeint/util/bind.hpp>
+#include <boost/numeric/odeint/util/unwrap_reference.hpp>
+
+#include <boost/numeric/odeint/algebra/range_algebra.hpp>
+#include <boost/numeric/odeint/algebra/default_operations.hpp>
+
+#include <boost/numeric/odeint/util/state_wrapper.hpp>
+#include <boost/numeric/odeint/util/is_resizeable.hpp>
+#include <boost/numeric/odeint/util/resizer.hpp>
+
+#include <boost/numeric/odeint/stepper/stepper_categories.hpp>
+#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
+
+#include <boost/numeric/odeint/stepper/base/algebra_stepper_base.hpp>
+
+#include <boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp>
+#include <boost/numeric/odeint/stepper/detail/adams_bashforth_call_algebra.hpp>
+#include <boost/numeric/odeint/stepper/detail/rotating_buffer.hpp>
+
+
+
+namespace boost {
+namespace numeric {
+namespace odeint {
+
+
+template<
+size_t Steps ,
+class State ,
+class Value = double ,
+class Deriv = State ,
+class Time = Value ,
+class Algebra = range_algebra ,
+class Operations = default_operations ,
+class Resizer = initially_resizer ,
+class InitializingStepper = runge_kutta4< State , Value , Deriv , Time , Algebra , Operations, Resizer >
+>
+class adams_bashforth : public algebra_stepper_base< Algebra , Operations >
+{
+
+#ifndef DOXYGEN_SKIP
+    BOOST_STATIC_ASSERT(( Steps > 0 ));
+    BOOST_STATIC_ASSERT(( Steps < 9 ));
+#endif
+
+public :
+
+    typedef State state_type;
+    typedef state_wrapper< state_type > wrapped_state_type;
+    typedef Value value_type;
+    typedef Deriv deriv_type;
+    typedef state_wrapper< deriv_type > wrapped_deriv_type;
+    typedef Time time_type;
+    typedef Resizer resizer_type;
+    typedef stepper_tag stepper_category;
+
+    typedef InitializingStepper initializing_stepper_type;
+
+    typedef typename algebra_stepper_base< Algebra , Operations >::algebra_type algebra_type;
+    typedef typename algebra_stepper_base< Algebra , Operations >::operations_type operations_type;
+#ifndef DOXYGEN_SKIP
+    typedef adams_bashforth< Steps , State , Value , Deriv , Time , Algebra , Operations , Resizer , InitializingStepper > stepper_type;
+#endif
+    static const size_t steps = Steps;
+
+
+
+    typedef unsigned short order_type;
+    static const order_type order_value = steps;
+
+    typedef detail::rotating_buffer< wrapped_deriv_type , steps > step_storage_type;
+
+
+    
+    order_type order( void ) const { return order_value; }
+
+    adams_bashforth( const algebra_type &algebra = algebra_type() )
+    : m_step_storage() , m_resizer() , m_coefficients() ,
+      m_steps_initialized( 0 ) , m_initializing_stepper() ,
+      m_algebra( algebra )
+    { }
+
+    adams_bashforth( const adams_bashforth &stepper )
+    : m_step_storage( stepper.m_step_storage ) , m_resizer( stepper.m_resizer ) , m_coefficients() ,
+      m_steps_initialized( stepper.m_steps_initialized ) , m_initializing_stepper( stepper.m_initializing_stepper ) ,
+      m_algebra( stepper.m_algebra )
+    { }
+
+    adams_bashforth& operator=( const adams_bashforth &stepper )
+    {
+        m_resizer = stepper.m_resizer;
+        m_step_storage = stepper.m_step_storage;
+        m_algebra = stepper.m_algebra;
+        return *this;
+    }
+
+
+    /*
+     * Version 1 : do_step( system , x , t , dt );
+     *
+     * solves the forwarding problem
+     */
+    template< class System , class StateInOut >
+    void do_step( System system , StateInOut &x , time_type t , time_type dt )
+    {
+        do_step( system , x , t , x , dt );
+    }
+
+    /**
+     * \brief Second version to solve the forwarding problem, can be called with Boost.Range as StateInOut.
+     */
+    template< class System , class StateInOut >
+    void do_step( System system , const StateInOut &x , time_type t , time_type dt )
+    {
+        do_step( system , x , t , x , dt );
+    }
+
+
+
+    /*
+     * Version 2 : do_step( system , in , t , out , dt );
+     *
+     * solves the forwarding problem
+     */
+
+    template< class System , class StateIn , class StateOut >
+    void do_step( System system , const StateIn &in , time_type t , StateOut &out , time_type dt )
+    {
+        do_step_impl( system , in , t , out , dt );
+    }
+
+    /**
+     * \brief Second version to solve the forwarding problem, can be called with Boost.Range as StateOut.
+     */
+    template< class System , class StateIn , class StateOut >
+    void do_step( System system , const StateIn &in , time_type t , const StateOut &out , time_type dt )
+    {
+        do_step_impl( system , in , t , out , dt );
+    }
+
+
+    template< class StateType >
+    void adjust_size( const StateType &x )
+    {
+        resize_impl( x );
+    }
+
+    const step_storage_type& step_storage( void ) const
+    {
+        return m_step_storage;
+    }
+
+    step_storage_type& step_storage( void )
+    {
+        return m_step_storage;
+    }
+
+    template< class ExplicitStepper , class System , class StateIn >
+    void initialize( ExplicitStepper explicit_stepper , System system , StateIn &x , time_type &t , time_type dt )
+    {
+        typename odeint::unwrap_reference< ExplicitStepper >::type &stepper = explicit_stepper;
+        typename odeint::unwrap_reference< System >::type &sys = system;
+
+        m_resizer.adjust_size( x , detail::bind( &stepper_type::template resize_impl<StateIn> , detail::ref( *this ) , detail::_1 ) );
+
+        for( size_t i=0 ; i<steps-1 ; ++i )
+        {
+            if( i != 0 ) m_step_storage.rotate();
+            sys( x , m_step_storage[0].m_v , t );
+            stepper.do_step( system , x , m_step_storage[0].m_v , t , dt );
+            t += dt;
+        }
+        m_steps_initialized = steps;
+    }
+
+    template< class System , class StateIn >
+    void initialize( System system , StateIn &x , time_type &t , time_type dt )
+    {
+        initialize( detail::ref( m_initializing_stepper ) , system , x , t , dt );
+    }
+
+    void reset( void )
+    {
+        m_steps_initialized = 0;
+    }
+
+    bool is_initialized( void ) const
+    {
+        return m_steps_initialized >= steps;
+    }
+
+    const initializing_stepper_type& initializing_stepper( void ) const { return m_initializing_stepper; }
+
+    initializing_stepper_type& initializing_stepper( void ) { return m_initializing_stepper; }
+
+private:
+
+    template< class System , class StateIn , class StateOut >
+    void do_step_impl( System system , const StateIn &in , time_type t , StateOut &out , time_type dt )
+    {
+        typename odeint::unwrap_reference< System >::type &sys = system;
+        if( m_resizer.adjust_size( in , detail::bind( &stepper_type::template resize_impl<StateIn> , detail::ref( *this ) , detail::_1 ) ) )
+        {
+            m_steps_initialized = 0;
+        }
+
+        if( m_steps_initialized < steps - 1 )
+        {
+            if( m_steps_initialized != 0 ) m_step_storage.rotate();
+            sys( in , m_step_storage[0].m_v , t );
+            m_initializing_stepper.do_step( system , in , m_step_storage[0].m_v , t , out , dt );
+            m_steps_initialized++;
+        }
+        else
+        {
+            m_step_storage.rotate();
+            sys( in , m_step_storage[0].m_v , t );
+            detail::adams_bashforth_call_algebra< steps , algebra_type , operations_type >()( m_algebra , in , out , m_step_storage , m_coefficients , dt );
+        }
+    }
+
+
+    template< class StateIn >
+    bool resize_impl( const StateIn &x )
+    {
+        bool resized( false );
+        for( size_t i=0 ; i<steps ; ++i )
+        {
+            resized |= adjust_size_by_resizeability( m_step_storage[i] , x , typename is_resizeable<deriv_type>::type() );
+        }
+        return resized;
+    }
+
+    step_storage_type m_step_storage;
+    resizer_type m_resizer;
+    const detail::adams_bashforth_coefficients< value_type , steps > m_coefficients;
+    size_t m_steps_initialized;
+    initializing_stepper_type m_initializing_stepper;
+
+
+
+
+
+
+
+protected:
+
+    algebra_type m_algebra;
+};
+
+
+/***** DOXYGEN *****/
+
+/**
+ * \class adams_bashforth
+ * \brief The Adams-Bashforth multistep algorithm.
+ *
+ * The Adams-Bashforth method is a multi-step algorithm with configurable step
+ * number. The step number is specified as template parameter Steps and it 
+ * then uses the result from the previous Steps steps. See also
+ * <a href="http://en.wikipedia.org/wiki/Linear_multistep_method">en.wikipedia.org/wiki/Linear_multistep_method</a>.
+ * Currently, a maximum of Steps=8 is supported.
+ * The method is explicit and fulfills the Stepper concept. Step size control
+ * or continuous output are not provided.
+ * 
+ * This class derives from algebra_base and inherits its interface via
+ * CRTP (current recurring template pattern). For more details see
+ * algebra_stepper_base.
+ *
+ * \tparam Steps The number of steps (maximal 8).
+ * \tparam State The state type.
+ * \tparam Value The value type.
+ * \tparam Deriv The type representing the time derivative of the state.
+ * \tparam Time The time representing the independent variable - the time.
+ * \tparam Algebra The algebra type.
+ * \tparam Operations The operations type.
+ * \tparam Resizer The resizer policy type.
+ * \tparam InitializingStepper The stepper for the first two steps.
+ */
+
+    /**
+     * \fn adams_bashforth::adams_bashforth( const algebra_type &algebra )
+     * \brief Constructs the adams_bashforth class. This constructor can be used as a default
+     * constructor if the algebra has a default constructor. 
+     * \param algebra A copy of algebra is made and stored.
+     */
+
+    /**
+     * \fn order_type adams_bashforth::order( void ) const
+     * \brief Returns the order of the algorithm, which is equal to the number of steps.
+     * \return order of the method.
+     */
+
+    /**
+     * \fn void adams_bashforth::do_step( System system , StateInOut &x , time_type t , time_type dt )
+     * \brief This method performs one step. It transforms the result in-place.
+     *
+     * \param system The system function to solve, hence the r.h.s. of the ordinary differential equation. It must fulfill the
+     *               Simple System concept.
+     * \param x The state of the ODE which should be solved. After calling do_step the result is updated in x.
+     * \param t The value of the time, at which the step should be performed.
+     * \param dt The step size.
+     */
+
+    /**
+     * \fn void adams_bashforth::do_step( System system , const StateIn &in , time_type t , StateOut &out , time_type dt )
+     * \brief The method performs one step with the stepper passed by Stepper. The state of the ODE is updated out-of-place.
+     *
+     * \param system The system function to solve, hence the r.h.s. of the ODE. It must fulfill the
+     *               Simple System concept.
+     * \param in The state of the ODE which should be solved. in is not modified in this method
+     * \param t The value of the time, at which the step should be performed.
+     * \param out The result of the step is written in out.
+     * \param dt The step size.
+     */
+
+    /**
+     * \fn void adams_bashforth::adjust_size( const StateType &x )
+     * \brief Adjust the size of all temporaries in the stepper manually.
+     * \param x A state from which the size of the temporaries to be resized is deduced.
+     */
+
+
+    /**
+     * \fn const step_storage_type& adams_bashforth::step_storage( void ) const
+     * \brief Returns the storage of intermediate results.
+     * \return The storage of intermediate results.
+     */
+
+    /**
+     * \fn step_storage_type& adams_bashforth::step_storage( void )
+     * \brief Returns the storage of intermediate results.
+     * \return The storage of intermediate results.
+     */
+
+    /**
+     * \fn void adams_bashforth::initialize( ExplicitStepper explicit_stepper , System system , StateIn &x , time_type &t , time_type dt )
+     * \brief Initialized the stepper. Does Steps-1 steps with the explicit_stepper to fill the buffer.
+     * \param explicit_stepper the stepper used to fill the buffer of previous step results
+     * \param system The system function to solve, hence the r.h.s. of the ordinary differential equation. It must fulfill the
+     *               Simple System concept.
+     * \param x The state of the ODE which should be solved. After calling do_step the result is updated in x.
+     * \param t The value of the time, at which the step should be performed.
+     * \param dt The step size.
+     */
+
+    /**
+     * \fn void adams_bashforth::initialize( System system , StateIn &x , time_type &t , time_type dt )
+     * \brief Initialized the stepper. Does Steps-1 steps with an internal instance of InitializingStepper to fill the buffer.
+     * \note The state x and time t are updated to the values after Steps-1 initial steps.
+     * \param system The system function to solve, hence the r.h.s. of the ordinary differential equation. It must fulfill the
+     *               Simple System concept.
+     * \param x The initial state of the ODE which should be solved, updated in this method.
+     * \param t The initial value of the time, updated in this method.
+     * \param dt The step size.
+     */
+
+    /**
+     * \fn void adams_bashforth::reset( void )
+     * \brief Resets the internal buffer of the stepper.
+     */
+
+    /**
+     * \fn bool adams_bashforth::is_initialized( void ) const
+     * \brief Returns true if the stepper has been initialized.
+     * \return bool true if stepper is initialized, false otherwise
+     */
+
+    /**
+     * \fn const initializing_stepper_type& adams_bashforth::initializing_stepper( void ) const
+     * \brief Returns the internal initializing stepper instance.
+     * \return initializing_stepper
+     */
+
+    /**
+     * \fn const initializing_stepper_type& adams_bashforth::initializing_stepper( void ) const
+     * \brief Returns the internal initializing stepper instance.
+     * \return initializing_stepper
+     */
+
+    /**
+     * \fn initializing_stepper_type& adams_bashforth::initializing_stepper( void )
+     * \brief Returns the internal initializing stepper instance.
+     * \return initializing_stepper
+     */
+
+} // odeint
+} // numeric
+} // boost
+
+
+
+#endif // BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_BASHFORTH_HPP_INCLUDED