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  25 <div class="refentry">
  26 <a name="boost.numeric.odeint.symplectic_rkn_idp34762512"></a><div class="titlepage"></div>
  27 <div class="refnamediv">
  28 <h2><span class="refentrytitle">Class template symplectic_rkn_sb3a_mclachlan</span></h2>
  29 <p>boost::numeric::odeint::symplectic_rkn_sb3a_mclachlan &#8212; Implement of the symmetric B3A method of Runge-Kutta-Nystroem method of sixth order. </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: &lt;<a class="link" href="../../../header/boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan_hpp.html" title="Header &lt;boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp&gt;">boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp</a>&gt;
  33
  34 </span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Coor<span class="special">,</span> <span class="keyword">typename</span> Momentum <span class="special">=</span> <span class="identifier">Coor</span><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> CoorDeriv <span class="special">=</span> <span class="identifier">Coor</span><span class="special">,</span> <span class="keyword">typename</span> MomentumDeriv <span class="special">=</span> <span class="identifier">Coor</span><span class="special">,</span>
  36          <span class="keyword">typename</span> Time <span class="special">=</span> <span class="identifier">Value</span><span class="special">,</span>
  37          <span class="keyword">typename</span> Algebra <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">algebra_dispatcher</span><span class="special">&lt;</span> <span class="identifier">Coor</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">algebra_type</span><span class="special">,</span>
  38          <span class="keyword">typename</span> Operations <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">operations_dispatcher</span><span class="special">&lt;</span> <span class="identifier">Coor</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">operations_type</span><span class="special">,</span>
  39          <span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span><span class="special">&gt;</span>
  40 <span class="keyword">class</span> <a class="link" href="symplectic_rkn_idp34762512.html" title="Class template symplectic_rkn_sb3a_mclachlan">symplectic_rkn_sb3a_mclachlan</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">symplectic_nystroem_stepper_base</span> <span class="special">{</span>
  41 <span class="keyword">public</span><span class="special">:</span>
  42   <span class="comment">// types</span>
  43   <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.symplectic_rkn_idp34762512.algebra_type"></a><span class="identifier">algebra_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.symplectic_rkn_idp34762512.value_type"></a><span class="identifier">value_type</span><span class="special">;</span>
  45
  46   <span class="comment">// <a class="link" href="symplectic_rkn_idp34762512.html#boost.numeric.odeint.symplectic_rkn_idp34762512construct-copy-destruct">construct/copy/destruct</a></span>
  47   <a class="link" href="symplectic_rkn_idp34762512.html#idp34778688-bb"><span class="identifier">symplectic_rkn_sb3a_mclachlan</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</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>
  48 <span class="special">}</span><span class="special">;</span></pre></div>
  49 <div class="refsect1">
  50 <a name="idp127243312"></a><h2>Description</h2>
  51 <p>The method is of fourth order and has six stages. It is described HERE. This method cannot be used with multiprecision types since the coefficients are not defined analytically.</p>
  52 <p>ToDo Add reference to the paper.</p>
  53 <p>
  54 </p>
  55 <div class="refsect2">
  56 <a name="idp127244736"></a><h3>Template Parameters</h3>
  57 <div class="orderedlist"><ol class="orderedlist" type="1">
  58 <li class="listitem">
  59 <pre class="literallayout"><span class="keyword">typename</span> Coor</pre>
  60 <p>The type representing the coordinates q. </p>
  61 </li>
  62 <li class="listitem">
  63 <pre class="literallayout"><span class="keyword">typename</span> Momentum <span class="special">=</span> <span class="identifier">Coor</span></pre>
  64 <p>The type representing the coordinates p. </p>
  65 </li>
  66 <li class="listitem">
  67 <pre class="literallayout"><span class="keyword">typename</span> Value <span class="special">=</span> <span class="keyword">double</span></pre>
  68 <p>The basic value type. Should be something like float, double or a high-precision type. </p>
  69 </li>
  70 <li class="listitem">
  71 <pre class="literallayout"><span class="keyword">typename</span> CoorDeriv <span class="special">=</span> <span class="identifier">Coor</span></pre>
  72 <p>The type representing the time derivative of the coordinate dq/dt. </p>
  73 </li>
  74 <li class="listitem"><pre class="literallayout"><span class="keyword">typename</span> MomentumDeriv <span class="special">=</span> <span class="identifier">Coor</span></pre></li>
  75 <li class="listitem">
  76 <pre class="literallayout"><span class="keyword">typename</span> Time <span class="special">=</span> <span class="identifier">Value</span></pre>
  77 <p>The type representing the time t. </p>
  78 </li>
  79 <li class="listitem">
  80 <pre class="literallayout"><span class="keyword">typename</span> Algebra <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">algebra_dispatcher</span><span class="special">&lt;</span> <span class="identifier">Coor</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">algebra_type</span></pre>
  81 <p>The algebra. </p>
  82 </li>
  83 <li class="listitem">
  84 <pre class="literallayout"><span class="keyword">typename</span> Operations <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">operations_dispatcher</span><span class="special">&lt;</span> <span class="identifier">Coor</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">operations_type</span></pre>
  85 <p>The operations. </p>
  86 </li>
  87 <li class="listitem">
  88 <pre class="literallayout"><span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span></pre>
  89 <p>The resizer policy. </p>
  90 </li>
  91 </ol></div>
  92 </div>
  93 <div class="refsect2">
  94 <a name="idp127281248"></a><h3>
  95 <a name="boost.numeric.odeint.symplectic_rkn_idp34762512construct-copy-destruct"></a><code class="computeroutput">symplectic_rkn_sb3a_mclachlan</code>
  96         public
  97        construct/copy/destruct</h3>
  98 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
  99 <pre class="literallayout"><a name="idp34778688-bb"></a><span class="identifier">symplectic_rkn_sb3a_mclachlan</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</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>Constructs the <code class="computeroutput"><a class="link" href="symplectic_rkn_idp34762512.html" title="Class template symplectic_rkn_sb3a_mclachlan">symplectic_rkn_sb3a_mclachlan</a></code>. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
 100 </p>
 101 <div class="variablelist"><table border="0" class="variablelist compact">
 102 <colgroup>
 103 <col align="left" valign="top">
 104 <col>
 105 </colgroup>
 106 <tbody><tr>
 107 <td><p><span class="term">Parameters:</span></p></td>
 108 <td><div class="variablelist"><table border="0" class="variablelist compact">
 109 <colgroup>
 110 <col align="left" valign="top">
 111 <col>
 112 </colgroup>
 113 <tbody><tr>
 114 <td><p><span class="term"><code class="computeroutput">algebra</code></span></p></td>
 115 <td><p>A copy of algebra is made and stored inside explicit_stepper_base. </p></td>
 116 </tr></tbody>
 117 </table></div></td>
 118 </tr></tbody>
 119 </table></div>
 120 </li></ol></div>
 121 </div>
 122 </div>
 123 </div>
 124 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 125 <td align="left"></td>
 126 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky<p>
 127         Distributed under the Boost Software License, Version 1.0. (See accompanying
 128         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>)
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