/*
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[auto_generated]
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boost/numeric/odeint/integrate/detail/integrate_n_steps.hpp
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[begin_description]
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integrate steps implementation
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[end_description]
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Copyright 2012-2015 Mario Mulansky
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Copyright 2012 Christoph Koke
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Copyright 2012 Karsten Ahnert
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENSE_1_0.txt or
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copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#ifndef BOOST_NUMERIC_ODEINT_INTEGRATE_DETAIL_INTEGRATE_N_STEPS_HPP_INCLUDED
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#define BOOST_NUMERIC_ODEINT_INTEGRATE_DETAIL_INTEGRATE_N_STEPS_HPP_INCLUDED
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#include <boost/numeric/odeint/util/unwrap_reference.hpp>
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#include <boost/numeric/odeint/stepper/stepper_categories.hpp>
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#include <boost/numeric/odeint/integrate/detail/integrate_adaptive.hpp>
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#include <boost/numeric/odeint/util/unit_helper.hpp>
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#include <boost/numeric/odeint/util/detail/less_with_sign.hpp>
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namespace boost {
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namespace numeric {
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namespace odeint {
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namespace detail {
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// forward declaration
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template< class Stepper , class System , class State , class Time , class Observer >
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size_t integrate_adaptive_checked(
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Stepper stepper , System system , State &start_state ,
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Time &start_time , Time end_time , Time &dt ,
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Observer observer, controlled_stepper_tag
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);
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/* basic version */
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template< class Stepper , class System , class State , class Time , class Observer>
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Time integrate_n_steps(
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Stepper stepper , System system , State &start_state ,
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Time start_time , Time dt , size_t num_of_steps ,
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Observer observer , stepper_tag )
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{
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typename odeint::unwrap_reference< Observer >::type &obs = observer;
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typename odeint::unwrap_reference< Stepper >::type &st = stepper;
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Time time = start_time;
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for( size_t step = 0; step < num_of_steps ; ++step )
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{
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obs( start_state , time );
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st.do_step( system , start_state , time , dt );
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// direct computation of the time avoids error propagation happening when using time += dt
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// we need clumsy type analysis to get boost units working here
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time = start_time + static_cast< typename unit_value_type<Time>::type >( step+1 ) * dt;
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}
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obs( start_state , time );
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return time;
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}
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/* controlled version */
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template< class Stepper , class System , class State , class Time , class Observer >
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Time integrate_n_steps(
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Stepper stepper , System system , State &start_state ,
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Time start_time , Time dt , size_t num_of_steps ,
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Observer observer , controlled_stepper_tag )
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{
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typename odeint::unwrap_reference< Observer >::type &obs = observer;
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Time time = start_time;
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Time time_step = dt;
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for( size_t step = 0; step < num_of_steps ; ++step )
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{
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obs( start_state , time );
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// integrate_adaptive_checked uses the given checker to throw if an overflow occurs
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detail::integrate_adaptive(stepper, system, start_state, time, static_cast<Time>(time + time_step), dt,
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null_observer(), controlled_stepper_tag());
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// direct computation of the time avoids error propagation happening when using time += dt
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// we need clumsy type analysis to get boost units working here
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time = start_time + static_cast< typename unit_value_type<Time>::type >(step+1) * time_step;
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}
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obs( start_state , time );
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return time;
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}
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/* dense output version */
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template< class Stepper , class System , class State , class Time , class Observer >
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Time integrate_n_steps(
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Stepper stepper , System system , State &start_state ,
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Time start_time , Time dt , size_t num_of_steps ,
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Observer observer , dense_output_stepper_tag )
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{
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typename odeint::unwrap_reference< Observer >::type &obs = observer;
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typename odeint::unwrap_reference< Stepper >::type &st = stepper;
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Time time = start_time;
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const Time end_time = start_time + static_cast< typename unit_value_type<Time>::type >(num_of_steps) * dt;
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st.initialize( start_state , time , dt );
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size_t step = 0;
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while( step < num_of_steps )
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{
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while( less_with_sign( time , st.current_time() , st.current_time_step() ) )
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{
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st.calc_state( time , start_state );
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obs( start_state , time );
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++step;
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// direct computation of the time avoids error propagation happening when using time += dt
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// we need clumsy type analysis to get boost units working here
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time = start_time + static_cast< typename unit_value_type<Time>::type >(step) * dt;
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}
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// we have not reached the end, do another real step
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if( less_with_sign( static_cast<Time>(st.current_time()+st.current_time_step()) ,
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end_time ,
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st.current_time_step() ) )
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{
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st.do_step( system );
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}
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else if( less_with_sign( st.current_time() , end_time , st.current_time_step() ) )
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{ // do the last step ending exactly on the end point
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st.initialize( st.current_state() , st.current_time() , static_cast<Time>(end_time - st.current_time()) );
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st.do_step( system );
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}
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}
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// make sure we really end exactly where we should end
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while( st.current_time() < end_time )
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{
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if( less_with_sign( end_time ,
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static_cast<Time>(st.current_time()+st.current_time_step()) ,
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st.current_time_step() ) )
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st.initialize( st.current_state() , st.current_time() , static_cast<Time>(end_time - st.current_time()) );
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st.do_step( system );
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}
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// observation at final point
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obs( st.current_state() , end_time );
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return time;
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}
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}
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}
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}
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}
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#endif /* BOOST_NUMERIC_ODEINT_INTEGRATE_DETAIL_INTEGRATE_N_STEPS_HPP_INCLUDED */
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