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| <div class="refentry"> |
| <a name="boost.numeric.odeint.modified_midpoint"></a><div class="titlepage"></div> |
| <div class="refnamediv"> |
| <h2><span class="refentrytitle">Class template modified_midpoint</span></h2> |
| <p>boost::numeric::odeint::modified_midpoint</p> |
| </div> |
| <h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2> |
| <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/modified_midpoint_hpp.html" title="Header <boost/numeric/odeint/stepper/modified_midpoint.hpp>">boost/numeric/odeint/stepper/modified_midpoint.hpp</a>> |
| |
| </span><span class="keyword">template</span><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> <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> |
| <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> |
| <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> |
| <span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span><span class="special">></span> |
| <span class="keyword">class</span> <a class="link" href="modified_midpoint.html" title="Class template modified_midpoint">modified_midpoint</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">explicit_stepper_base</span> <span class="special">{</span> |
| <span class="keyword">public</span><span class="special">:</span> |
| <span class="comment">// types</span> |
| <span class="keyword">typedef</span> <span class="identifier">explicit_stepper_base</span><span class="special"><</span> <a class="link" href="modified_midpoint.html" title="Class template modified_midpoint">modified_midpoint</a><span class="special"><</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">Value</span><span class="special">,</span> <span class="identifier">Deriv</span><span class="special">,</span> <span class="identifier">Time</span><span class="special">,</span> <span class="identifier">Algebra</span><span class="special">,</span> <span class="identifier">Operations</span><span class="special">,</span> <span class="identifier">Resizer</span> <span class="special">></span><span class="special">,</span> <span class="number">2</span><span class="special">,</span> <span class="identifier">State</span><span class="special">,</span> <span class="identifier">Value</span><span class="special">,</span> <span class="identifier">Deriv</span><span class="special">,</span> <span class="identifier">Time</span><span class="special">,</span> <span class="identifier">Algebra</span><span class="special">,</span> <span class="identifier">Operations</span><span class="special">,</span> <span class="identifier">Resizer</span> <span class="special">></span> <a name="boost.numeric.odeint.modified_midpoint.stepper_base_type"></a><span class="identifier">stepper_base_type</span><span class="special">;</span> |
| <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.modified_midpoint.state_type"></a><span class="identifier">state_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">wrapped_state_type</span> <a name="boost.numeric.odeint.modified_midpoint.wrapped_state_type"></a><span class="identifier">wrapped_state_type</span><span class="special">;</span> |
| <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.modified_midpoint.value_type"></a><span class="identifier">value_type</span><span class="special">;</span> |
| <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.modified_midpoint.deriv_type"></a><span class="identifier">deriv_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">wrapped_deriv_type</span> <a name="boost.numeric.odeint.modified_midpoint.wrapped_deriv_type"></a><span class="identifier">wrapped_deriv_type</span><span class="special">;</span> |
| <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.modified_midpoint.time_type"></a><span class="identifier">time_type</span><span class="special">;</span> |
| <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.modified_midpoint.algebra_type"></a><span class="identifier">algebra_type</span><span class="special">;</span> |
| <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.modified_midpoint.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span> |
| <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.modified_midpoint.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">stepper_type</span> <a name="boost.numeric.odeint.modified_midpoint.stepper_type"></a><span class="identifier">stepper_type</span><span class="special">;</span> |
| |
| <span class="comment">// <a class="link" href="modified_midpoint.html#boost.numeric.odeint.modified_midpointconstruct-copy-destruct">construct/copy/destruct</a></span> |
| <a class="link" href="modified_midpoint.html#idp41026128-bb"><span class="identifier">modified_midpoint</span></a><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">short</span> <span class="special">=</span> <span class="number">2</span><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> |
| |
| <span class="comment">// <a class="link" href="modified_midpoint.html#idp41012176-bb">public member functions</a></span> |
| <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> |
| <span class="keyword">typename</span> StateOut<span class="special">></span> |
| <span class="keyword">void</span> <a class="link" href="modified_midpoint.html#idp41012736-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> |
| <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> |
| <span class="keyword">void</span> <a class="link" href="modified_midpoint.html#idp41020240-bb"><span class="identifier">set_steps</span></a><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">short</span><span class="special">)</span><span class="special">;</span> |
| <span class="keyword">unsigned</span> <span class="keyword">short</span> <a class="link" href="modified_midpoint.html#idp41021776-bb"><span class="identifier">steps</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span> |
| <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="modified_midpoint.html#idp41023584-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> |
| |
| <span class="comment">// <a class="link" href="modified_midpoint.html#idp41028368-bb">private member functions</a></span> |
| <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="modified_midpoint.html#idp41028944-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> |
| <span class="special">}</span><span class="special">;</span></pre></div> |
| <div class="refsect1"> |
| <a name="idp115504432"></a><h2>Description</h2> |
| <p>Implementation of the modified midpoint method with a configurable number of intermediate steps. This class is used by the Bulirsch-Stoer algorithm and is not meant for direct usage. </p> |
| <div class="refsect2"> |
| <a name="idp115505296"></a><h3> |
| <a name="boost.numeric.odeint.modified_midpointconstruct-copy-destruct"></a><code class="computeroutput">modified_midpoint</code> |
| public |
| construct/copy/destruct</h3> |
| <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idp41026128-bb"></a><span class="identifier">modified_midpoint</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">short</span> steps <span class="special">=</span> <span class="number">2</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> |
| </div> |
| <div class="refsect2"> |
| <a name="idp115518880"></a><h3> |
| <a name="idp41012176-bb"></a><code class="computeroutput">modified_midpoint</code> public member functions</h3> |
| <div class="orderedlist"><ol class="orderedlist" type="1"> |
| <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> |
| <span class="keyword">typename</span> StateOut<span class="special">></span> |
| <span class="keyword">void</span> <a name="idp41012736-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> |
| <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> |
| <li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idp41020240-bb"></a><span class="identifier">set_steps</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="keyword">short</span> steps<span class="special">)</span><span class="special">;</span></pre></li> |
| <li class="listitem"><pre class="literallayout"><span class="keyword">unsigned</span> <span class="keyword">short</span> <a name="idp41021776-bb"></a><span class="identifier">steps</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li> |
| <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="idp41023584-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> |
| </ol></div> |
| </div> |
| <div class="refsect2"> |
| <a name="idp115563856"></a><h3> |
| <a name="idp41028368-bb"></a><code class="computeroutput">modified_midpoint</code> private member functions</h3> |
| <div class="orderedlist"><ol class="orderedlist" type="1"><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="idp41028944-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></ol></div> |
| </div> |
| </div> |
| </div> |
| <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> |
| <td align="left"></td> |
| <td align="right"><div class="copyright-footer">Copyright © 2009-2012 Karsten |
| Ahnert and Mario Mulansky<p> |
| Distributed under the Boost Software License, Version 1.0. (See accompanying |
| 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>) |
| </p> |
| </div></td> |
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