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- /*
- [auto_generated]
- boost/numeric/odeint/integrate/integrate_const.hpp
- [begin_description]
- Constant integration of ODEs, meaning that the state of the ODE is observed on constant time intervals.
- The routines makes full use of adaptive and dense-output methods.
- [end_description]
- Copyright 2011-2013 Karsten Ahnert
- Copyright 2011-2015 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_INTEGRATE_INTEGRATE_CONST_HPP_INCLUDED
- #define BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_CONST_HPP_INCLUDED
- #include <boost/type_traits/is_same.hpp>
- #include <boost/numeric/odeint/stepper/stepper_categories.hpp>
- #include <boost/numeric/odeint/integrate/null_observer.hpp>
- #include <boost/numeric/odeint/integrate/check_adapter.hpp>
- #include <boost/numeric/odeint/integrate/detail/integrate_const.hpp>
- #include <boost/numeric/odeint/integrate/detail/integrate_adaptive.hpp>
- namespace boost {
- namespace numeric {
- namespace odeint {
- /*
- * Integrates with constant time step dt.
- */
- template<class Stepper, class System, class State, class Time, class Observer, class StepOverflowChecker>
- size_t integrate_const(
- Stepper stepper, System system, State &start_state,
- Time start_time, Time end_time, Time dt,
- Observer observer, StepOverflowChecker checker
- ) {
- typedef typename odeint::unwrap_reference<Stepper>::type::stepper_category stepper_category;
- // we want to get as fast as possible to the end
- // no overflow checks needed
- if (boost::is_same<null_observer, Observer>::value) {
- return detail::integrate_adaptive(
- stepper, system, start_state,
- start_time, end_time, dt,
- observer, stepper_category());
- }
- else {
- // unwrap references
- typedef typename odeint::unwrap_reference< Stepper >::type stepper_type;
- typedef typename odeint::unwrap_reference< Observer >::type observer_type;
- typedef typename odeint::unwrap_reference< StepOverflowChecker >::type checker_type;
- return detail::integrate_const(checked_stepper<stepper_type, checker_type>(stepper, checker),
- system, start_state,
- start_time, end_time, dt,
- checked_observer<observer_type, checker_type>(observer, checker),
- stepper_category());
- }
- }
- /**
- * \brief Second version to solve the forwarding problem,
- * can be called with Boost.Range as start_state.
- */
- template<class Stepper, class System, class State, class Time, class Observer, class StepOverflowChecker >
- size_t integrate_const(
- Stepper stepper, System system, const State &start_state,
- Time start_time, Time end_time, Time dt,
- Observer observer, StepOverflowChecker checker
- ) {
- typedef typename odeint::unwrap_reference<Stepper>::type::stepper_category stepper_category;
- // we want to get as fast as possible to the end
- if (boost::is_same<null_observer, Observer>::value) {
- return detail::integrate_adaptive(
- stepper, system, start_state,
- start_time, end_time, dt,
- observer, stepper_category());
- }
- else {
- typedef typename odeint::unwrap_reference< Stepper >::type stepper_type;
- typedef typename odeint::unwrap_reference< Observer >::type observer_type;
- typedef typename odeint::unwrap_reference< StepOverflowChecker >::type checker_type;
- return detail::integrate_const(checked_stepper<stepper_type, checker_type>(stepper, checker),
- system, start_state,
- start_time, end_time, dt,
- checked_observer<observer_type, checker_type>(observer, checker),
- stepper_category());
- }
- }
- /**
- * \brief integrate_const without step overflow checker
- */
- template<class Stepper, class System, class State, class Time, class Observer>
- size_t integrate_const(
- Stepper stepper, System system, State &start_state,
- Time start_time, Time end_time, Time dt, Observer observer)
- {
- typedef typename odeint::unwrap_reference<Stepper>::type::stepper_category stepper_category;
- return detail::integrate_const(stepper, system, start_state,
- start_time, end_time, dt, observer, stepper_category());
- }
- /**
- * \brief Second version to solve the forwarding problem,
- * can be called with Boost.Range as start_state.
- */
- template<class Stepper, class System, class State, class Time, class Observer>
- size_t integrate_const(
- Stepper stepper, System system, const State &start_state,
- Time start_time, Time end_time, Time dt, Observer observer
- ) {
- typedef typename odeint::unwrap_reference<Stepper>::type::stepper_category stepper_category;
- return detail::integrate_const(stepper, system, start_state,
- start_time, end_time, dt, observer, stepper_category());
- }
- /**
- * \brief integrate_const without observer calls
- */
- template<class Stepper, class System, class State, class Time>
- size_t integrate_const(
- Stepper stepper, System system, State &start_state,
- Time start_time, Time end_time, Time dt
- ) {
- return integrate_const(stepper, system, start_state, start_time, end_time, dt, null_observer());
- }
- /**
- * \brief Second version to solve the forwarding problem,
- * can be called with Boost.Range as start_state.
- */
- template<class Stepper, class System, class State, class Time>
- size_t integrate_const(
- Stepper stepper, System system, const State &start_state,
- Time start_time, Time end_time, Time dt
- ) {
- return integrate_const(stepper, system, start_state, start_time, end_time, dt, null_observer());
- }
- /********* DOXYGEN *********/
- /**
- * \fn integrate_const( Stepper stepper , System system , State &start_state , Time start_time ,
- * Time end_time , Time dt , Observer observer , StepOverflowChecker checker )
- * \brief Integrates the ODE with constant step size.
- *
- * Integrates the ODE defined by system using the given stepper.
- * This method ensures that the observer is called at constant intervals dt.
- * If the Stepper is a normal stepper without step size control, dt is also
- * used for the numerical scheme. If a ControlledStepper is provided, the
- * algorithm might reduce the step size to meet the error bounds, but it is
- * ensured that the observer is always called at equidistant time points
- * t0 + n*dt. If a DenseOutputStepper is used, the step size also may vary
- * and the dense output is used to call the observer at equidistant time
- * points.
- * If a max_step_checker is provided as StepOverflowChecker, a
- * no_progress_error is thrown if too many steps (default: 500) are performed
- * without progress, i.e. in between observer calls. If no checker is provided,
- * no such overflow check is performed.
- *
- * \param stepper The stepper to be used for numerical integration.
- * \param system Function/Functor defining the rhs of the ODE.
- * \param start_state The initial condition x0.
- * \param start_time The initial time t0.
- * \param end_time The final integration time tend.
- * \param dt The time step between observer calls, _not_ necessarily the
- * time step of the integration.
- * \param observer [optional] Function/Functor called at equidistant time intervals.
- * \param checker [optional] Functor to check for step count overflows, if no
- * checker is provided, no exception is thrown.
- * \return The number of steps performed.
- */
- } // namespace odeint
- } // namespace numeric
- } // namespace boost
- #endif // BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_CONST_HPP_INCLUDED
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