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1 /*
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2 [auto_generated]
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3 boost/numeric/odeint/integrate/integrate_n_steps.hpp
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4
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5 [begin_description]
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6 Integration of n steps with constant time size. Adaptive and dense-output methods are fully supported.
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7 [end_description]
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8
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9 Copyright 2011-2013 Karsten Ahnert
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10 Copyright 2011-2012 Mario Mulansky
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11
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12 Distributed under the Boost Software License, Version 1.0.
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13 (See accompanying file LICENSE_1_0.txt or
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14 copy at http://www.boost.org/LICENSE_1_0.txt)
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15 */
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16
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17
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18 #ifndef BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_N_STEPS_HPP_INCLUDED
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19 #define BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_N_STEPS_HPP_INCLUDED
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20
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21 #include <boost/type_traits/is_same.hpp>
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22
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23 #include <boost/numeric/odeint/stepper/stepper_categories.hpp>
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24 #include <boost/numeric/odeint/integrate/null_observer.hpp>
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25 #include <boost/numeric/odeint/integrate/detail/integrate_n_steps.hpp>
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26
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27 namespace boost {
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28 namespace numeric {
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29 namespace odeint {
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30
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31
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32 /*
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33 * Integrates n steps
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34 *
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35 * the two overloads are needed in order to solve the forwarding problem
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36 */
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37 template< class Stepper , class System , class State , class Time , class Observer>
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38 Time integrate_n_steps(
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39 Stepper stepper , System system , State &start_state ,
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40 Time start_time , Time dt , size_t num_of_steps ,
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41 Observer observer )
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42 {
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43 typedef typename odeint::unwrap_reference< Stepper >::type::stepper_category stepper_category;
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44 return detail::integrate_n_steps(
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45 stepper , system , start_state ,
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46 start_time , dt , num_of_steps ,
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47 observer , stepper_category() );
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48 }
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49
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50 /**
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51 * \brief Solves the forwarding problem, can be called with Boost.Range as start_state.
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52 */
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53 template< class Stepper , class System , class State , class Time , class Observer >
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54 Time integrate_n_steps(
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55 Stepper stepper , System system , const State &start_state ,
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56 Time start_time , Time dt , size_t num_of_steps ,
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57 Observer observer )
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58 {
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59 typedef typename odeint::unwrap_reference< Stepper >::type::stepper_category stepper_category;
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60 return detail::integrate_n_steps(
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61 stepper , system , start_state ,
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62 start_time , dt , num_of_steps ,
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63 observer , stepper_category() );
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64 }
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65
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66
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67 /**
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68 * \brief The same function as above, but without observer calls.
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69 */
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70 template< class Stepper , class System , class State , class Time >
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71 Time integrate_n_steps(
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72 Stepper stepper , System system , State &start_state ,
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73 Time start_time , Time dt , size_t num_of_steps )
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74 {
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75 return integrate_n_steps( stepper , system , start_state , start_time , dt , num_of_steps , null_observer() );
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76 }
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77
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78 /**
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79 * \brief Solves the forwarding problem, can be called with Boost.Range as start_state.
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80 */
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81 template< class Stepper , class System , class State , class Time >
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82 Time integrate_n_steps(
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83 Stepper stepper , System system , const State &start_state ,
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84 Time start_time , Time dt , size_t num_of_steps )
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85 {
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86 return integrate_n_steps( stepper , system , start_state , start_time , dt , num_of_steps , null_observer() );
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87 }
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88
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89
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90
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91 /************* DOXYGEN *************/
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92 /**
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93 * \fn Time integrate_n_steps( Stepper stepper , System system , State &start_state , Time start_time , Time dt , size_t num_of_steps , Observer observer )
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94 * \brief Integrates the ODE with constant step size.
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95 *
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96 * This function is similar to integrate_const. The observer is called at
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97 * equidistant time intervals t0 + n*dt.
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98 * If the Stepper is a normal stepper without step size control, dt is also
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99 * used for the numerical scheme. If a ControlledStepper is provided, the
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100 * algorithm might reduce the step size to meet the error bounds, but it is
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101 * ensured that the observer is always called at equidistant time points
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102 * t0 + n*dt. If a DenseOutputStepper is used, the step size also may vary
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103 * and the dense output is used to call the observer at equidistant time
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104 * points. The final integration time is always t0 + num_of_steps*dt.
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105 *
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106 * \param stepper The stepper to be used for numerical integration.
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107 * \param system Function/Functor defining the rhs of the ODE.
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108 * \param start_state The initial condition x0.
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109 * \param start_time The initial time t0.
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110 * \param dt The time step between observer calls, _not_ necessarily the
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111 * time step of the integration.
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112 * \param num_of_steps Number of steps to be performed
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113 * \param observer Function/Functor called at equidistant time intervals.
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114 * \return The number of steps performed.
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115 */
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116
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117
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118
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119 } // namespace odeint
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120 } // namespace numeric
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121 } // namespace boost
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122
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123
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124
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125 #endif // BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_N_STEPS_HPP_INCLUDED
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