1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Class template extrapolation_stepper</title> 5<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../../../index.html" title="Chapter 1. Boost.Numeric.Odeint"> 8<link rel="up" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html" title="Header <boost/numeric/odeint/stepper/extrapolation_stepper.hpp>"> 9<link rel="prev" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html" title="Header <boost/numeric/odeint/stepper/extrapolation_stepper.hpp>"> 10<link rel="next" href="../../../header/boost/numeric/odeint/stepper/implicit_euler_hpp.html" title="Header <boost/numeric/odeint/stepper/implicit_euler.hpp>"> 11</head> 12<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 13<table cellpadding="2" width="100%"><tr> 14<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../logo.jpg"></td> 15<td align="center"><a href="../../../../../../../../index.html">Home</a></td> 16<td align="center"><a href="../../../../../../../../libs/libraries.htm">Libraries</a></td> 17<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 18<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 19<td align="center"><a href="../../../../../../../../more/index.htm">More</a></td> 20</tr></table> 21<hr> 22<div class="spirit-nav"> 23<a accesskey="p" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../../../header/boost/numeric/odeint/stepper/implicit_euler_hpp.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a> 24</div> 25<div class="refentry"> 26<a name="boost.numeric.odeint.extrapolation_stepper"></a><div class="titlepage"></div> 27<div class="refnamediv"> 28<h2><span class="refentrytitle">Class template extrapolation_stepper</span></h2> 29<p>boost::numeric::odeint::extrapolation_stepper — Extrapolation stepper with configurable order, and error estimation. </p> 30</div> 31<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2> 32<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: <<a class="link" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html" title="Header <boost/numeric/odeint/stepper/extrapolation_stepper.hpp>">boost/numeric/odeint/stepper/extrapolation_stepper.hpp</a>> 33 34</span><span class="keyword">template</span><span class="special"><</span><span class="keyword">unsigned</span> <span class="keyword">short</span> Order<span class="special">,</span> <span class="keyword">typename</span> State<span class="special">,</span> <span class="keyword">typename</span> Value <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span> 35 <span class="keyword">typename</span> Deriv <span class="special">=</span> <span class="identifier">State</span><span class="special">,</span> <span class="keyword">typename</span> Time <span class="special">=</span> <span class="identifier">Value</span><span class="special">,</span> 36 <span class="keyword">typename</span> Algebra <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">algebra_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">algebra_type</span><span class="special">,</span> 37 <span class="keyword">typename</span> Operations <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">operations_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">operations_type</span><span class="special">,</span> 38 <span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span><span class="special">></span> 39<span class="keyword">class</span> <a class="link" href="extrapolation_stepper.html" title="Class template extrapolation_stepper">extrapolation_stepper</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">explicit_error_stepper_base</span> <span class="special">{</span> 40<span class="keyword">public</span><span class="special">:</span> 41 <span class="comment">// types</span> 42 <span class="keyword">typedef</span> <span class="identifier">explicit_error_stepper_base</span><span class="special"><</span> <a class="link" href="extrapolation_stepper.html" title="Class template extrapolation_stepper">extrapolation_stepper</a><span class="special"><</span> <span class="special">...</span> <span class="special">></span><span class="special">,</span><span class="special">...</span> <span class="special">></span> <a name="boost.numeric.odeint.extrapolation_stepper.stepper_base_type"></a><span class="identifier">stepper_base_type</span><span class="special">;</span> 43 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">state_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.state_type"></a><span class="identifier">state_type</span><span class="special">;</span> 44 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">value_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.value_type"></a><span class="identifier">value_type</span><span class="special">;</span> 45 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">deriv_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.deriv_type"></a><span class="identifier">deriv_type</span><span class="special">;</span> 46 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">time_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.time_type"></a><span class="identifier">time_type</span><span class="special">;</span> 47 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">algebra_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.algebra_type"></a><span class="identifier">algebra_type</span><span class="special">;</span> 48 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">operations_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span> 49 <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">resizer_type</span> <a name="boost.numeric.odeint.extrapolation_stepper.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span> 50 <span class="keyword">typedef</span> <span class="keyword">unsigned</span> <span class="keyword">short</span> <a name="boost.numeric.odeint.extrapolation_stepper.order_type"></a><span class="identifier">order_type</span><span class="special">;</span> 51 52 <span class="comment">// <a class="link" href="extrapolation_stepper.html#boost.numeric.odeint.extrapolation_stepperconstruct-copy-destruct">construct/copy/destruct</a></span> 53 <a class="link" href="extrapolation_stepper.html#idm45875526237536-bb"><span class="identifier">extrapolation_stepper</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span> 54 55 <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45875526296496-bb">private member functions</a></span> 56 <a class="link" href="extrapolation_stepper.html#idm45875526295920-bb"><span class="identifier">BOOST_STATIC_ASSERT_MSG</span></a><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&&</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">></span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 57 <span class="string">"extrapolation_stepper requires even Order larger than 2"</span><span class="special">)</span><span class="special">;</span> 58 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45875526293792-bb"><span class="identifier">resize_impl</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 59 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a class="link" href="extrapolation_stepper.html#idm45875526291408-bb"><span class="identifier">resize_m_xout</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 60 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateInOut<span class="special">></span> 61 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526289024-bb"><span class="identifier">extrapolate</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&</span><span class="special">,</span> 62 <span class="identifier">StateInOut</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 63 64 <span class="comment">// <a class="link" href="extrapolation_stepper.html#idm45875526284416-bb">public member functions</a></span> 65 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 66 <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">></span> 67 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526283856-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 68 <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">Err</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 69 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 70 <span class="keyword">typename</span> Err<span class="special">></span> 71 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526275104-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 72 <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">Err</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 73 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 74 <span class="keyword">typename</span> StateOut<span class="special">></span> 75 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526267600-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 76 <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span> 77 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">></span> 78 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526260096-bb"><span class="identifier">do_step_impl_io</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 79 <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span> 80 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">></span> 81 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526253840-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> 82 <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span> 83 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 84 <span class="keyword">typename</span> StateOut<span class="special">></span> 85 <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526247584-bb"><span class="identifier">do_step_dxdt_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span><span class="special">,</span> 86 <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span> 87 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">void</span> <a class="link" href="extrapolation_stepper.html#idm45875526240080-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> 88 89 <span class="comment">// public data members</span> 90 <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">order_type</span> <span class="identifier">order_value</span><span class="special">;</span> 91 <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">order_type</span> <span class="identifier">stepper_order_value</span><span class="special">;</span> 92 <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">order_type</span> <span class="identifier">error_order_value</span><span class="special">;</span> 93 <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">size_t</span> <span class="identifier">m_k_max</span><span class="special">;</span> 94<span class="special">}</span><span class="special">;</span></pre></div> 95<div class="refsect1"> 96<a name="idm45600372616144"></a><h2>Description</h2> 97<p>The extrapolation stepper is a stepper with error estimation and configurable order. The order is given as template parameter and needs to be an <span class="emphasis"><em>odd</em></span> number. The stepper is based on several executions of the modified midpoint method and a Richardson extrapolation. This is essentially the same technique as for <a class="link" href="bulirsch_stoer.html" title="Class template bulirsch_stoer">bulirsch_stoer</a>, but without the variable order.</p> 98<div class="note"><table border="0" summary="Note"> 99<tr> 100<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td> 101<th align="left">Note</th> 102</tr> 103<tr><td align="left" valign="top"><p>The Order parameter has to be an even number greater 2. </p></td></tr> 104</table></div> 105<p> 106</p> 107<div class="refsect2"> 108<a name="idm45600372612976"></a><h3> 109<a name="boost.numeric.odeint.extrapolation_stepperconstruct-copy-destruct"></a><code class="computeroutput">extrapolation_stepper</code> 110 public 111 construct/copy/destruct</h3> 112<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm45875526237536-bb"></a><span class="identifier">extrapolation_stepper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div> 113</div> 114<div class="refsect2"> 115<a name="idm45600372602560"></a><h3> 116<a name="idm45875526296496-bb"></a><code class="computeroutput">extrapolation_stepper</code> private member functions</h3> 117<div class="orderedlist"><ol class="orderedlist" type="1"> 118<li class="listitem"><pre class="literallayout"> <a name="idm45875526295920-bb"></a><span class="identifier">BOOST_STATIC_ASSERT_MSG</span><span class="special">(</span><span class="special">(</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">%</span> <span class="number">2</span><span class="special">)</span><span class="special">==</span><span class="number">0</span><span class="special">)</span> <span class="special">&&</span><span class="special">(</span><span class="identifier">Order</span> <span class="special">></span> <span class="number">2</span><span class="special">)</span><span class="special">,</span> 119 <span class="string">"extrapolation_stepper requires even Order larger than 2"</span><span class="special">)</span><span class="special">;</span></pre></li> 120<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a name="idm45875526293792-bb"></a><span class="identifier">resize_impl</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> x<span class="special">)</span><span class="special">;</span></pre></li> 121<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a name="idm45875526291408-bb"></a><span class="identifier">resize_m_xout</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> x<span class="special">)</span><span class="special">;</span></pre></li> 122<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateInOut<span class="special">></span> 123 <span class="keyword">void</span> <a name="idm45875526289024-bb"></a><span class="identifier">extrapolate</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">,</span> <span class="identifier">state_table_type</span> <span class="special">&</span> table<span class="special">,</span> 124 <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&</span> coeff<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span> xest<span class="special">)</span><span class="special">;</span></pre></li> 125</ol></div> 126</div> 127<div class="refsect2"> 128<a name="idm45600372554464"></a><h3> 129<a name="idm45875526284416-bb"></a><code class="computeroutput">extrapolation_stepper</code> public member functions</h3> 130<div class="orderedlist"><ol class="orderedlist" type="1"> 131<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 132 <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">></span> 133 <span class="keyword">void</span> <a name="idm45875526283856-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> 134 <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">,</span> <span class="identifier">Err</span> <span class="special">&</span> xerr<span class="special">)</span><span class="special">;</span></pre></li> 135<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">></span> 136 <span class="keyword">void</span> <a name="idm45875526275104-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span> inout<span class="special">,</span> 137 <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">,</span> 138 <span class="identifier">Err</span> <span class="special">&</span> xerr<span class="special">)</span><span class="special">;</span></pre></li> 139<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 140 <span class="keyword">typename</span> StateOut<span class="special">></span> 141 <span class="keyword">void</span> <a name="idm45875526267600-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> 142 <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li> 143<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">></span> 144 <span class="keyword">void</span> <a name="idm45875526260096-bb"></a><span class="identifier">do_step_impl_io</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span> inout<span class="special">,</span> 145 <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li> 146<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">></span> 147 <span class="keyword">void</span> <a name="idm45875526253840-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&</span> x<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> 148 <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li> 149<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 150 <span class="keyword">typename</span> StateOut<span class="special">></span> 151 <span class="keyword">void</span> <a name="idm45875526247584-bb"></a><span class="identifier">do_step_dxdt_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> in<span class="special">,</span> 152 <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span> 153 <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li> 154<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">void</span> <a name="idm45875526240080-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&</span> x<span class="special">)</span><span class="special">;</span></pre></li> 155</ol></div> 156</div> 157</div> 158</div> 159<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 160<td align="left"></td> 161<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky<p> 162 Distributed under the Boost Software License, Version 1.0. (See accompanying 163 file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) 164 </p> 165</div></td> 166</tr></table> 167<hr> 168<div class="spirit-nav"> 169<a accesskey="p" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../../../header/boost/numeric/odeint/stepper/implicit_euler_hpp.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a> 170</div> 171</body> 172</html> 173
