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  26 <a name="boost.numeric.odeint.dense_ou_idm45806989653776"></a><div class="titlepage"></div>
  27 <div class="refnamediv">
  28 <h2><span class="refentrytitle">Class template dense_output_runge_kutta&lt;Stepper, stepper_tag&gt;</span></h2>
  29 <p>boost::numeric::odeint::dense_output_runge_kutta&lt;Stepper, stepper_tag&gt; &#8212; The class representing dense-output Runge-Kutta steppers. </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/dense_output_runge_kutta_hpp.html" title="Header &lt;boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp&gt;">boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp</a>&gt;
  33
  34 </span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Stepper<span class="special">&gt;</span>
  35 <span class="keyword">class</span> <a class="link" href="dense_ou_idm45806989653776.html" title="Class template dense_output_runge_kutta&lt;Stepper, stepper_tag&gt;">dense_output_runge_kutta</a><span class="special">&lt;</span><span class="identifier">Stepper</span><span class="special">,</span> <span class="identifier">stepper_tag</span><span class="special">&gt;</span> <span class="special">{</span>
  36 <span class="keyword">public</span><span class="special">:</span>
  37   <span class="comment">// types</span>
  38   <span class="keyword">typedef</span> <span class="identifier">Stepper</span>                             <a name="boost.numeric.odeint.dense_ou_idm45806989653776.stepper_type"></a><span class="identifier">stepper_type</span><span class="special">;</span>
  39   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">state_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45806989653776.state_type"></a><span class="identifier">state_type</span><span class="special">;</span>
  40   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">wrapped_state_type</span>    <a name="boost.numeric.odeint.dense_ou_idm45806989653776.wrapped_state_type"></a><span class="identifier">wrapped_state_type</span><span class="special">;</span>
  41   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">value_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45806989653776.value_type"></a><span class="identifier">value_type</span><span class="special">;</span>
  42   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">deriv_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45806989653776.deriv_type"></a><span class="identifier">deriv_type</span><span class="special">;</span>
  43   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">wrapped_deriv_type</span>    <a name="boost.numeric.odeint.dense_ou_idm45806989653776.wrapped_deriv_type"></a><span class="identifier">wrapped_deriv_type</span><span class="special">;</span>
  44   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">time_type</span>             <a name="boost.numeric.odeint.dense_ou_idm45806989653776.time_type"></a><span class="identifier">time_type</span><span class="special">;</span>
  45   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">algebra_type</span>          <a name="boost.numeric.odeint.dense_ou_idm45806989653776.algebra_type"></a><span class="identifier">algebra_type</span><span class="special">;</span>
  46   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">operations_type</span>       <a name="boost.numeric.odeint.dense_ou_idm45806989653776.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span>
  47   <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">resizer_type</span>          <a name="boost.numeric.odeint.dense_ou_idm45806989653776.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span>
  48   <span class="keyword">typedef</span> <span class="identifier">dense_output_stepper_tag</span>            <a name="boost.numeric.odeint.dense_ou_idm45806989653776.stepper_category"></a><span class="identifier">stepper_category</span><span class="special">;</span>
  49   <span class="keyword">typedef</span> <span class="identifier">dense_output_runge_kutta</span><span class="special">&lt;</span> <span class="identifier">Stepper</span> <span class="special">&gt;</span> <a name="boost.numeric.odeint.dense_ou_idm45806989653776.dense_output_stepper_type"></a><span class="identifier">dense_output_stepper_type</span><span class="special">;</span>
  50
  51   <span class="comment">// <a class="link" href="dense_ou_idm45806989653776.html#boost.numeric.odeint.dense_ou_idm45806989653776construct-copy-destruct">construct/copy/destruct</a></span>
  52   <a class="link" href="dense_ou_idm45806989653776.html#idm45806989598176-bb"><span class="identifier">dense_output_runge_kutta</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">stepper_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">stepper_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
  53
  54   <span class="comment">// <a class="link" href="dense_ou_idm45806989653776.html#idm45806989639088-bb">public member functions</a></span>
  55   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span>
  56     <span class="keyword">void</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989638528-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
  57   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">&gt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989632640-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">)</span><span class="special">;</span>
  58   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989627728-bb"><span class="identifier">calc_state</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  59   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span>
  60     <span class="keyword">void</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989622704-bb"><span class="identifier">calc_state</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  61   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989617616-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  62   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989614000-bb"><span class="identifier">current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  63   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989610848-bb"><span class="identifier">current_time</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  64   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989607712-bb"><span class="identifier">previous_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  65   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989604560-bb"><span class="identifier">previous_time</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  66   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989601440-bb"><span class="identifier">current_time_step</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  67
  68   <span class="comment">// <a class="link" href="dense_ou_idm45806989653776.html#idm45806989595696-bb">private member functions</a></span>
  69   <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989595120-bb"><span class="identifier">get_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  70   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989593584-bb"><span class="identifier">get_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  71   <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989591776-bb"><span class="identifier">get_old_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  72   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989590240-bb"><span class="identifier">get_old_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  73   <span class="keyword">void</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989588432-bb"><span class="identifier">toggle_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  74   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="dense_ou_idm45806989653776.html#idm45806989586896-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">&amp;</span><span class="special">)</span><span class="special">;</span>
  75 <span class="special">}</span><span class="special">;</span></pre></div>
  76 <div class="refsect1">
  77 <a name="idm46278819714128"></a><h2>Description</h2>
  78 <div class="note"><table border="0" summary="Note">
  79 <tr>
  80 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
  81 <th align="left">Note</th>
  82 </tr>
  83 <tr><td align="left" valign="top"><p>In this stepper, the initialize method has to be called before using the do_step method.</p></td></tr>
  84 </table></div>
  85 <p>
  86 The dense-output functionality allows to interpolate the solution between subsequent integration points using intermediate results obtained during the computation. This version works based on a normal stepper without step-size control.</p>
  87 <p>
  88 </p>
  89 <div class="refsect2">
  90 <a name="idm46278819712320"></a><h3>Template Parameters</h3>
  91 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
  92 <pre class="literallayout"><span class="keyword">typename</span> Stepper</pre>
  93 <p>The stepper type of the underlying algorithm. </p>
  94 </li></ol></div>
  95 </div>
  96 <div class="refsect2">
  97 <a name="idm46278819709136"></a><h3>
  98 <a name="boost.numeric.odeint.dense_ou_idm45806989653776construct-copy-destruct"></a><code class="computeroutput">dense_output_runge_kutta</code>
  99         public
 100        construct/copy/destruct</h3>
 101 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
 102 <pre class="literallayout"><a name="idm45806989598176-bb"></a><span class="identifier">dense_output_runge_kutta</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">stepper_type</span> <span class="special">&amp;</span> stepper <span class="special">=</span> <span class="identifier">stepper_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the dense_output_runge_kutta class. An instance of the underlying stepper can be provided. <p>
 103 </p>
 104 <div class="variablelist"><table border="0" class="variablelist compact">
 105 <colgroup>
 106 <col align="left" valign="top">
 107 <col>
 108 </colgroup>
 109 <tbody><tr>
 110 <td><p><span class="term">Parameters:</span></p></td>
 111 <td><div class="variablelist"><table border="0" class="variablelist compact">
 112 <colgroup>
 113 <col align="left" valign="top">
 114 <col>
 115 </colgroup>
 116 <tbody><tr>
 117 <td><p><span class="term"><code class="computeroutput">stepper</code></span></p></td>
 118 <td><p>An instance of the underlying stepper. </p></td>
 119 </tr></tbody>
 120 </table></div></td>
 121 </tr></tbody>
 122 </table></div>
 123 </li></ol></div>
 124 </div>
 125 <div class="refsect2">
 126 <a name="idm46278819695232"></a><h3>
 127 <a name="idm45806989639088-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> public member functions</h3>
 128 <div class="orderedlist"><ol class="orderedlist" type="1">
 129 <li class="listitem">
 130 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span>
 131   <span class="keyword">void</span> <a name="idm45806989638528-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x0<span class="special">,</span> <span class="identifier">time_type</span> t0<span class="special">,</span> <span class="identifier">time_type</span> dt0<span class="special">)</span><span class="special">;</span></pre>Initializes the stepper. Has to be called before do_step can be used to set the initial conditions and the step size. <p>
 132 </p>
 133 <div class="variablelist"><table border="0" class="variablelist compact">
 134 <colgroup>
 135 <col align="left" valign="top">
 136 <col>
 137 </colgroup>
 138 <tbody><tr>
 139 <td><p><span class="term">Parameters:</span></p></td>
 140 <td><div class="variablelist"><table border="0" class="variablelist compact">
 141 <colgroup>
 142 <col align="left" valign="top">
 143 <col>
 144 </colgroup>
 145 <tbody>
 146 <tr>
 147 <td><p><span class="term"><code class="computeroutput">dt0</code></span></p></td>
 148 <td><p>The step size. </p></td>
 149 </tr>
 150 <tr>
 151 <td><p><span class="term"><code class="computeroutput">t0</code></span></p></td>
 152 <td><p>The initial time, at which the step should be performed. </p></td>
 153 </tr>
 154 <tr>
 155 <td><p><span class="term"><code class="computeroutput">x0</code></span></p></td>
 156 <td><p>The initial state of the ODE which should be solved. </p></td>
 157 </tr>
 158 </tbody>
 159 </table></div></td>
 160 </tr></tbody>
 161 </table></div>
 162 </li>
 163 <li class="listitem">
 164 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">&gt;</span>
 165   <span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span> <a name="idm45806989632640-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">)</span><span class="special">;</span></pre>Does one time step. <div class="note"><table border="0" summary="Note">
 166 <tr>
 167 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
 168 <th align="left">Note</th>
 169 </tr>
 170 <tr><td align="left" valign="top"><p>initialize has to be called before using this method to set the initial conditions x,t and the stepsize. </p></td></tr>
 171 </table></div>
 172 <p>
 173
 174
 175 </p>
 176 <div class="variablelist"><table border="0" class="variablelist compact">
 177 <colgroup>
 178 <col align="left" valign="top">
 179 <col>
 180 </colgroup>
 181 <tbody>
 182 <tr>
 183 <td><p><span class="term">Parameters:</span></p></td>
 184 <td><div class="variablelist"><table border="0" class="variablelist compact">
 185 <colgroup>
 186 <col align="left" valign="top">
 187 <col>
 188 </colgroup>
 189 <tbody><tr>
 190 <td><p><span class="term"><code class="computeroutput">system</code></span></p></td>
 191 <td><p>The system function to solve, hence the r.h.s. of the ordinary differential equation. It must fulfill the Simple System concept. </p></td>
 192 </tr></tbody>
 193 </table></div></td>
 194 </tr>
 195 <tr>
 196 <td><p><span class="term">Returns:</span></p></td>
 197 <td><p>Pair with start and end time of the integration step. </p></td>
 198 </tr>
 199 </tbody>
 200 </table></div>
 201 </li>
 202 <li class="listitem">
 203 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45806989627728-bb"></a><span class="identifier">calc_state</span><span class="special">(</span><span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> x<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Calculates the solution at an intermediate point. <p>
 204 </p>
 205 <div class="variablelist"><table border="0" class="variablelist compact">
 206 <colgroup>
 207 <col align="left" valign="top">
 208 <col>
 209 </colgroup>
 210 <tbody><tr>
 211 <td><p><span class="term">Parameters:</span></p></td>
 212 <td><div class="variablelist"><table border="0" class="variablelist compact">
 213 <colgroup>
 214 <col align="left" valign="top">
 215 <col>
 216 </colgroup>
 217 <tbody>
 218 <tr>
 219 <td><p><span class="term"><code class="computeroutput">t</code></span></p></td>
 220 <td><p>The time at which the solution should be calculated, has to be in the current time interval. </p></td>
 221 </tr>
 222 <tr>
 223 <td><p><span class="term"><code class="computeroutput">x</code></span></p></td>
 224 <td><p>The output variable where the result is written into. </p></td>
 225 </tr>
 226 </tbody>
 227 </table></div></td>
 228 </tr></tbody>
 229 </table></div>
 230 </li>
 231 <li class="listitem">
 232 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span>
 233   <span class="keyword">void</span> <a name="idm45806989622704-bb"></a><span class="identifier">calc_state</span><span class="special">(</span><span class="identifier">time_type</span> t<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> x<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Calculates the solution at an intermediate point. Solves the forwarding problem. <p>
 234 </p>
 235 <div class="variablelist"><table border="0" class="variablelist compact">
 236 <colgroup>
 237 <col align="left" valign="top">
 238 <col>
 239 </colgroup>
 240 <tbody><tr>
 241 <td><p><span class="term">Parameters:</span></p></td>
 242 <td><div class="variablelist"><table border="0" class="variablelist compact">
 243 <colgroup>
 244 <col align="left" valign="top">
 245 <col>
 246 </colgroup>
 247 <tbody>
 248 <tr>
 249 <td><p><span class="term"><code class="computeroutput">t</code></span></p></td>
 250 <td><p>The time at which the solution should be calculated, has to be in the current time interval. </p></td>
 251 </tr>
 252 <tr>
 253 <td><p><span class="term"><code class="computeroutput">x</code></span></p></td>
 254 <td><p>The output variable where the result is written into, can be a boost range. </p></td>
 255 </tr>
 256 </tbody>
 257 </table></div></td>
 258 </tr></tbody>
 259 </table></div>
 260 </li>
 261 <li class="listitem">
 262 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45806989617616-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
 263 </p>
 264 <div class="variablelist"><table border="0" class="variablelist compact">
 265 <colgroup>
 266 <col align="left" valign="top">
 267 <col>
 268 </colgroup>
 269 <tbody><tr>
 270 <td><p><span class="term">Parameters:</span></p></td>
 271 <td><div class="variablelist"><table border="0" class="variablelist compact">
 272 <colgroup>
 273 <col align="left" valign="top">
 274 <col>
 275 </colgroup>
 276 <tbody><tr>
 277 <td><p><span class="term"><code class="computeroutput">x</code></span></p></td>
 278 <td><p>A state from which the size of the temporaries to be resized is deduced. </p></td>
 279 </tr></tbody>
 280 </table></div></td>
 281 </tr></tbody>
 282 </table></div>
 283 </li>
 284 <li class="listitem">
 285 <pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989614000-bb"></a><span class="identifier">current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the current state of the solution. <p>
 286 </p>
 287 <div class="variablelist"><table border="0" class="variablelist compact">
 288 <colgroup>
 289 <col align="left" valign="top">
 290 <col>
 291 </colgroup>
 292 <tbody><tr>
 293 <td><p><span class="term">Returns:</span></p></td>
 294 <td><p>The current state of the solution x(t). </p></td>
 295 </tr></tbody>
 296 </table></div>
 297 </li>
 298 <li class="listitem">
 299 <pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45806989610848-bb"></a><span class="identifier">current_time</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the current time of the solution. <p>
 300 </p>
 301 <div class="variablelist"><table border="0" class="variablelist compact">
 302 <colgroup>
 303 <col align="left" valign="top">
 304 <col>
 305 </colgroup>
 306 <tbody><tr>
 307 <td><p><span class="term">Returns:</span></p></td>
 308 <td><p>The current time of the solution t. </p></td>
 309 </tr></tbody>
 310 </table></div>
 311 </li>
 312 <li class="listitem">
 313 <pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989607712-bb"></a><span class="identifier">previous_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the last state of the solution. <p>
 314 </p>
 315 <div class="variablelist"><table border="0" class="variablelist compact">
 316 <colgroup>
 317 <col align="left" valign="top">
 318 <col>
 319 </colgroup>
 320 <tbody><tr>
 321 <td><p><span class="term">Returns:</span></p></td>
 322 <td><p>The last state of the solution x(t-dt). </p></td>
 323 </tr></tbody>
 324 </table></div>
 325 </li>
 326 <li class="listitem">
 327 <pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45806989604560-bb"></a><span class="identifier">previous_time</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the last time of the solution. <p>
 328 </p>
 329 <div class="variablelist"><table border="0" class="variablelist compact">
 330 <colgroup>
 331 <col align="left" valign="top">
 332 <col>
 333 </colgroup>
 334 <tbody><tr>
 335 <td><p><span class="term">Returns:</span></p></td>
 336 <td><p>The last time of the solution t-dt. </p></td>
 337 </tr></tbody>
 338 </table></div>
 339 </li>
 340 <li class="listitem">
 341 <pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45806989601440-bb"></a><span class="identifier">current_time_step</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the current time step. <p>
 342 </p>
 343 <div class="variablelist"><table border="0" class="variablelist compact">
 344 <colgroup>
 345 <col align="left" valign="top">
 346 <col>
 347 </colgroup>
 348 <tbody><tr>
 349 <td><p><span class="term">Returns:</span></p></td>
 350 <td><p>dt. </p></td>
 351 </tr></tbody>
 352 </table></div>
 353 </li>
 354 </ol></div>
 355 </div>
 356 <div class="refsect2">
 357 <a name="idm46278819575776"></a><h3>
 358 <a name="idm45806989595696-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> private member functions</h3>
 359 <div class="orderedlist"><ol class="orderedlist" type="1">
 360 <li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989595120-bb"></a><span class="identifier">get_current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
 361 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989593584-bb"></a><span class="identifier">get_current_state</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>
 362 <li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989591776-bb"></a><span class="identifier">get_old_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
 363 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45806989590240-bb"></a><span class="identifier">get_old_state</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>
 364 <li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idm45806989588432-bb"></a><span class="identifier">toggle_current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
 365 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806989586896-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">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
 366 </ol></div>
 367 </div>
 368 </div>
 369 </div>
 370 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 371 <td align="left"></td>
 372 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky<p>
 373         Distributed under the Boost Software License, Version 1.0. (See accompanying
 374         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>)
 375       </p>
 376 </div></td>
 377 </tr></table>
 378 <hr>
 379 <div class="spirit-nav">
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