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26 <a name="boost.numeric.odeint.dense_ou_idm45853739592848"></a><div class="titlepage"></div>
27 <div class="refnamediv">
28 <h2><span class="refentrytitle">Class template dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt;</span></h2>
29 <p>boost::numeric::odeint::dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt; &#8212; The class representing dense-output Runge-Kutta steppers with FSAL property. </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_idm45853739592848.html" title="Class template dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt;">dense_output_runge_kutta</a><span class="special">&lt;</span><span class="identifier">Stepper</span><span class="special">,</span> <span class="identifier">explicit_controlled_stepper_fsal_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_idm45853739592848.controlled_stepper_type"></a><span class="identifier">controlled_stepper_type</span><span class="special">;</span>  
39   <span class="keyword">typedef</span> <span class="identifier">controlled_stepper_type</span><span class="special">::</span><span class="identifier">stepper_type</span> <a name="boost.numeric.odeint.dense_ou_idm45853739592848.stepper_type"></a><span class="identifier">stepper_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">state_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45853739592848.state_type"></a><span class="identifier">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">wrapped_state_type</span>      <a name="boost.numeric.odeint.dense_ou_idm45853739592848.wrapped_state_type"></a><span class="identifier">wrapped_state_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">value_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45853739592848.value_type"></a><span class="identifier">value_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">deriv_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45853739592848.deriv_type"></a><span class="identifier">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">wrapped_deriv_type</span>      <a name="boost.numeric.odeint.dense_ou_idm45853739592848.wrapped_deriv_type"></a><span class="identifier">wrapped_deriv_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">time_type</span>               <a name="boost.numeric.odeint.dense_ou_idm45853739592848.time_type"></a><span class="identifier">time_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">algebra_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45853739592848.algebra_type"></a><span class="identifier">algebra_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">operations_type</span>         <a name="boost.numeric.odeint.dense_ou_idm45853739592848.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span>          
48   <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_idm45853739592848.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span>             
49   <span class="keyword">typedef</span> <span class="identifier">dense_output_stepper_tag</span>              <a name="boost.numeric.odeint.dense_ou_idm45853739592848.stepper_category"></a><span class="identifier">stepper_category</span><span class="special">;</span>         
50   <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_idm45853739592848.dense_output_stepper_type"></a><span class="identifier">dense_output_stepper_type</span><span class="special">;</span>
51
52   <span class="comment">// <a class="link" href="dense_ou_idm45853739592848.html#boost.numeric.odeint.dense_ou_idm45853739592848construct-copy-destruct">construct/copy/destruct</a></span>
53   <a class="link" href="dense_ou_idm45853739592848.html#idm45853739549856-bb"><span class="identifier">dense_output_runge_kutta</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">controlled_stepper_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">controlled_stepper_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="dense_ou_idm45853739592848.html#idm45853739577232-bb">public member functions</a></span>
56   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> 
57     <span class="keyword">void</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739576672-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>
58   <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_idm45853739592848.html#idm45853739572912-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>
59   <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_idm45853739592848.html#idm45853739570512-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>
60   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
61     <span class="keyword">void</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739567168-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>
62   <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_idm45853739592848.html#idm45853739563824-bb"><span class="identifier">resize</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>
63   <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_idm45853739592848.html#idm45853739561440-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>
64   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739559056-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>
65   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739557248-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>
66   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739555440-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>
67   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739553632-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>
68   <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739551824-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>
69
70   <span class="comment">// <a class="link" href="dense_ou_idm45853739592848.html#idm45853739548560-bb">private member functions</a></span>
71   <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739547984-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>
72   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739546448-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>
73   <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739544640-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>
74   <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739543104-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>
75   <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739541296-bb"><span class="identifier">get_current_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
76   <span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739539760-bb"><span class="identifier">get_current_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
77   <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739537952-bb"><span class="identifier">get_old_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
78   <span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739536416-bb"><span class="identifier">get_old_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
79   <span class="keyword">void</span> <a class="link" href="dense_ou_idm45853739592848.html#idm45853739534608-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>
80 <span class="special">}</span><span class="special">;</span></pre></div>
81 <div class="refsect1">
82 <a name="idm45221360647472"></a><h2>Description</h2>
83 <p>The interface is the same as for <a class="link" href="dense_output_runge_kutta.html" title="Class template dense_output_runge_kutta">dense_output_runge_kutta&lt; Stepper , stepper_tag &gt;</a>. This class provides dense output functionality based on methods with step size controlled</p>
84 <p>
85 </p>
86 <div class="refsect2">
87 <a name="idm45221360645424"></a><h3>Template Parameters</h3>
88 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
89 <pre class="literallayout"><span class="keyword">typename</span> Stepper</pre>
90 <p>The stepper type of the underlying algorithm. </p>
91 </li></ol></div>
92 </div>
93 <div class="refsect2">
94 <a name="idm45221360642304"></a><h3>
95 <a name="boost.numeric.odeint.dense_ou_idm45853739592848construct-copy-destruct"></a><code class="computeroutput">dense_output_runge_kutta</code> 
96         public
97        construct/copy/destruct</h3>
98 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm45853739549856-bb"></a><span class="identifier">dense_output_runge_kutta</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">controlled_stepper_type</span> <span class="special">&amp;</span> stepper <span class="special">=</span> <span class="identifier">controlled_stepper_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div>
99 </div>
100 <div class="refsect2">
101 <a name="idm45221360631920"></a><h3>
102 <a name="idm45853739577232-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> public member functions</h3>
103 <div class="orderedlist"><ol class="orderedlist" type="1">
104 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> 
105   <span class="keyword">void</span> <a name="idm45853739576672-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></li>
106 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">&gt;</span> 
107   <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="idm45853739572912-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></li>
108 <li class="listitem"><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="idm45853739570512-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></li>
109 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
110   <span class="keyword">void</span> <a name="idm45853739567168-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></li>
111 <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="idm45853739563824-bb"></a><span class="identifier">resize</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>
112 <li class="listitem"><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="idm45853739561440-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></li>
113 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739559056-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></li>
114 <li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45853739557248-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></li>
115 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739555440-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></li>
116 <li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45853739553632-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></li>
117 <li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45853739551824-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></li>
118 </ol></div>
119 </div>
120 <div class="refsect2">
121 <a name="idm45221360536656"></a><h3>
122 <a name="idm45853739548560-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> private member functions</h3>
123 <div class="orderedlist"><ol class="orderedlist" type="1">
124 <li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739547984-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>
125 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739546448-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>
126 <li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739544640-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>
127 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45853739543104-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>
128 <li class="listitem"><pre class="literallayout"><span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45853739541296-bb"></a><span class="identifier">get_current_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
129 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45853739539760-bb"></a><span class="identifier">get_current_deriv</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>
130 <li class="listitem"><pre class="literallayout"><span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45853739537952-bb"></a><span class="identifier">get_old_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
131 <li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45853739536416-bb"></a><span class="identifier">get_old_deriv</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>
132 <li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idm45853739534608-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>
133 </ol></div>
134 </div>
135 </div>
136 </div>
137 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
138 <td align="left"></td>
139 <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky<p>
140         Distributed under the Boost Software License, Version 1.0. (See accompanying
141         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>)
142       </p>
143 </div></td>
144 </tr></table>
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