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Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / numeric / odeint / doc / html / boost / numeric / odeint / bulirsch_stoer.html
diff --git a/libs/numeric/odeint/doc/html/boost/numeric/odeint/bulirsch_stoer.html b/libs/numeric/odeint/doc/html/boost/numeric/odeint/bulirsch_stoer.html
index 66c65bf..c1d733c 100644 (file)
--- a/libs/numeric/odeint/doc/html/boost/numeric/odeint/bulirsch_stoer.html
+++ b/libs/numeric/odeint/doc/html/boost/numeric/odeint/bulirsch_stoer.html
@@ -48,56 +48,56 @@
   <span class="keyword">typedef</span> <span class="identifier">Resizer</span>    <a name="boost.numeric.odeint.bulirsch_stoer.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span>   
 
   <span class="comment">// <a class="link" href="bulirsch_stoer.html#boost.numeric.odeint.bulirsch_stoerconstruct-copy-destruct">construct/copy/destruct</a></span>
-  <a class="link" href="bulirsch_stoer.html#idm45806990224864-bb"><span class="identifier">bulirsch_stoer</span></a><span class="special">(</span><span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> 
+  <a class="link" href="bulirsch_stoer.html#idm45853740104000-bb"><span class="identifier">bulirsch_stoer</span></a><span class="special">(</span><span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> 
                  <span class="identifier">value_type</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span> <span class="identifier">time_type</span> <span class="special">&gt;</span><span class="special">(</span><span class="number">0</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="bulirsch_stoer.html#idm45806990278736-bb">public member functions</a></span>
+  <span class="comment">// <a class="link" href="bulirsch_stoer.html#idm45853740157872-bb">public member functions</a></span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
     <span class="identifier">controlled_step_result</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990278176-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+    <a class="link" href="bulirsch_stoer.html#idm45853740157312-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
     <span class="identifier">controlled_step_result</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990269264-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+    <a class="link" href="bulirsch_stoer.html#idm45853740148400-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</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">&gt;</span> 
     <span class="identifier">controlled_step_result</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990263888-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+    <a class="link" href="bulirsch_stoer.html#idm45853740143024-bb"><span class="identifier">try_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</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> StateOut<span class="special">&gt;</span> 
     <span class="identifier">boost</span><span class="special">::</span><span class="identifier">disable_if</span><span class="special">&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">is_same</span><span class="special">&lt;</span> <span class="identifier">StateIn</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span><span class="special">,</span> <span class="identifier">controlled_step_result</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">type</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990253296-bb"><span class="identifier">try_step</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">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+    <a class="link" href="bulirsch_stoer.html#idm45853740132432-bb"><span class="identifier">try_step</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">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</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">&gt;</span> 
     <span class="identifier">controlled_step_result</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990242048-bb"><span class="identifier">try_step</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">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <a class="link" href="bulirsch_stoer.html#idm45853740121184-bb"><span class="identifier">try_step</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">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> 
              <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45806990229808-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45806990228640-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">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45853740108944-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45853740107776-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">&amp;</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="bulirsch_stoer.html#idm45806990216464-bb">private member functions</a></span>
-  <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="bulirsch_stoer.html#idm45806990215888-bb"><span class="identifier">resize_m_dxdt</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>
-  <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="bulirsch_stoer.html#idm45806990213504-bb"><span class="identifier">resize_m_xnew</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>
-  <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="bulirsch_stoer.html#idm45806990211120-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>
+  <span class="comment">// <a class="link" href="bulirsch_stoer.html#idm45853740095600-bb">private member functions</a></span>
+  <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="bulirsch_stoer.html#idm45853740095024-bb"><span class="identifier">resize_m_dxdt</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>
+  <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="bulirsch_stoer.html#idm45853740092640-bb"><span class="identifier">resize_m_xnew</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>
+  <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="bulirsch_stoer.html#idm45853740090256-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>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
     <span class="identifier">controlled_step_result</span> 
-    <a class="link" href="bulirsch_stoer.html#idm45806990208736-bb"><span class="identifier">try_step_v1</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+    <a class="link" href="bulirsch_stoer.html#idm45853740087872-bb"><span class="identifier">try_step_v1</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45806990203728-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">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="bulirsch_stoer.html#idm45853740082864-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">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span><span class="special">,</span> 
                      <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
-  <span class="identifier">time_type</span> <a class="link" href="bulirsch_stoer.html#idm45806990199280-bb"><span class="identifier">calc_h_opt</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="identifier">time_type</span> <a class="link" href="bulirsch_stoer.html#idm45853740078416-bb"><span class="identifier">calc_h_opt</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
   <span class="identifier">controlled_step_result</span> 
-  <a class="link" href="bulirsch_stoer.html#idm45806990196096-bb"><span class="identifier">set_k_opt</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">inv_time_vector</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">time_vector</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">bool</span> <a class="link" href="bulirsch_stoer.html#idm45806990192496-bb"><span class="identifier">in_convergence_window</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="keyword">bool</span> <a class="link" href="bulirsch_stoer.html#idm45806990190688-bb"><span class="identifier">should_reject</span></a><span class="special">(</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <a class="link" href="bulirsch_stoer.html#idm45853740075232-bb"><span class="identifier">set_k_opt</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">inv_time_vector</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">time_vector</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">bool</span> <a class="link" href="bulirsch_stoer.html#idm45853740071632-bb"><span class="identifier">in_convergence_window</span></a><span class="special">(</span><span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="keyword">bool</span> <a class="link" href="bulirsch_stoer.html#idm45853740069824-bb"><span class="identifier">should_reject</span></a><span class="special">(</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">size_t</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
 
   <span class="comment">// public data members</span>
   <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>
 <span class="special">}</span><span class="special">;</span></pre></div>
 <div class="refsect1">
-<a name="idm46278823471648"></a><h2>Description</h2>
+<a name="idm45221364048112"></a><h2>Description</h2>
 <p>The Bulirsch-Stoer is a controlled stepper that adjusts both step size and order of the method. The algorithm uses the modified midpoint and a polynomial extrapolation compute the solution.</p>
 <p>
 </p>
 <div class="refsect2">
-<a name="idm46278823470512"></a><h3>Template Parameters</h3>
+<a name="idm45221364046976"></a><h3>Template Parameters</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">typename</span> State</pre>
@@ -130,12 +130,12 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278823440144"></a><h3>
+<a name="idm45221364016608"></a><h3>
 <a name="boost.numeric.odeint.bulirsch_stoerconstruct-copy-destruct"></a><code class="computeroutput">bulirsch_stoer</code> 
         public
        construct/copy/destruct</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
-<pre class="literallayout"><a name="idm45806990224864-bb"></a><span class="identifier">bulirsch_stoer</span><span class="special">(</span><span class="identifier">value_type</span> eps_abs <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> eps_rel <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> 
+<pre class="literallayout"><a name="idm45853740104000-bb"></a><span class="identifier">bulirsch_stoer</span><span class="special">(</span><span class="identifier">value_type</span> eps_abs <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> <span class="identifier">value_type</span> eps_rel <span class="special">=</span> <span class="number">1E</span><span class="special">-</span><span class="number">6</span><span class="special">,</span> 
                <span class="identifier">value_type</span> factor_x <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> <span class="identifier">value_type</span> factor_dxdt <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">,</span> 
                <span class="identifier">time_type</span> max_dt <span class="special">=</span> <span class="keyword">static_cast</span><span class="special">&lt;</span> <span class="identifier">time_type</span> <span class="special">&gt;</span><span class="special">(</span><span class="number">0</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the <code class="computeroutput"><a class="link" href="bulirsch_stoer.html" title="Class template bulirsch_stoer">bulirsch_stoer</a></code> class, including initialization of the error bounds. <p>
 </p>
@@ -175,13 +175,13 @@
 </li></ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278823405808"></a><h3>
-<a name="idm45806990278736-bb"></a><code class="computeroutput">bulirsch_stoer</code> public member functions</h3>
+<a name="idm45221363982208"></a><h3>
+<a name="idm45853740157872-bb"></a><code class="computeroutput">bulirsch_stoer</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">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
   <span class="identifier">controlled_step_result</span> 
-  <a name="idm45806990278176-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Tries to perform one step. <p>This method tries to do one step with step size dt. If the error estimate is to large, the step is rejected and the method returns fail and the step size dt is reduced. If the error estimate is acceptably small, the step is performed, success is returned and dt might be increased to make the steps as large as possible. This method also updates t if a step is performed. Also, the internal order of the stepper is adjusted if required.</p>
+  <a name="idm45853740157312-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Tries to perform one step. <p>This method tries to do one step with step size dt. If the error estimate is to large, the step is rejected and the method returns fail and the step size dt is reduced. If the error estimate is acceptably small, the step is performed, success is returned and dt might be increased to make the steps as large as possible. This method also updates t if a step is performed. Also, the internal order of the stepper is adjusted if required.</p>
 <p>
 
 </p>
@@ -228,11 +228,11 @@
 <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">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
   <span class="identifier">controlled_step_result</span> 
-  <a name="idm45806990269264-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be used with Boost.Range as StateInOut. </li>
+  <a name="idm45853740148400-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be used with Boost.Range as StateInOut. </li>
 <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">,</span> <span class="keyword">typename</span> StateInOut<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">&gt;</span> 
   <span class="identifier">controlled_step_result</span> 
-  <a name="idm45806990263888-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> 
+  <a name="idm45853740143024-bb"></a><span class="identifier">try_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> 
            <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Tries to perform one step. <p>This method tries to do one step with step size dt. If the error estimate is to large, the step is rejected and the method returns fail and the step size dt is reduced. If the error estimate is acceptably small, the step is performed, success is returned and dt might be increased to make the steps as large as possible. This method also updates t if a step is performed. Also, the internal order of the stepper is adjusted if required.</p>
 <p>
 
@@ -284,7 +284,7 @@
 <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">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
   <span class="identifier">boost</span><span class="special">::</span><span class="identifier">disable_if</span><span class="special">&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">is_same</span><span class="special">&lt;</span> <span class="identifier">StateIn</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span><span class="special">,</span> <span class="identifier">controlled_step_result</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">type</span> 
-  <a name="idm45806990253296-bb"></a><span class="identifier">try_step</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">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> 
+  <a name="idm45853740132432-bb"></a><span class="identifier">try_step</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">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> 
            <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Tries to perform one step. <div class="note"><table border="0" summary="Note">
 <tr>
 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
@@ -345,7 +345,7 @@ This method tries to do one step with step size dt. If the error estimate is to
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</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">&gt;</span> 
   <span class="identifier">controlled_step_result</span> 
-  <a name="idm45806990242048-bb"></a><span class="identifier">try_step</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">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
+  <a name="idm45853740121184-bb"></a><span class="identifier">try_step</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">&amp;</span> in<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">DerivIn</span> <span class="special">&amp;</span> dxdt<span class="special">,</span> 
            <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre>Tries to perform one step. <p>This method tries to do one step with step size dt. If the error estimate is to large, the step is rejected and the method returns fail and the step size dt is reduced. If the error estimate is acceptably small, the step is performed, success is returned and dt might be increased to make the steps as large as possible. This method also updates t if a step is performed. Also, the internal order of the stepper is adjusted if required.</p>
 <p>
 
@@ -399,9 +399,9 @@ This method tries to do one step with step size dt. If the error estimate is to
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">void</span> <a name="idm45806990229808-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal state of the stepper. </li>
+<pre class="literallayout"><span class="keyword">void</span> <a name="idm45853740108944-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal state of the stepper. </li>
 <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">void</span> <a name="idm45806990228640-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">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
+<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">void</span> <a name="idm45853740107776-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">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -426,24 +426,24 @@ This method tries to do one step with step size dt. If the error estimate is to
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278823244112"></a><h3>
-<a name="idm45806990216464-bb"></a><code class="computeroutput">bulirsch_stoer</code> private member functions</h3>
+<a name="idm45221363820656"></a><h3>
+<a name="idm45853740095600-bb"></a><code class="computeroutput">bulirsch_stoer</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">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806990215888-bb"></a><span class="identifier">resize_m_dxdt</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>
-<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="idm45806990213504-bb"></a><span class="identifier">resize_m_xnew</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>
-<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="idm45806990211120-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>
+<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="idm45853740095024-bb"></a><span class="identifier">resize_m_dxdt</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>
+<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="idm45853740092640-bb"></a><span class="identifier">resize_m_xnew</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>
+<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="idm45853740090256-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>
 <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">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
   <span class="identifier">controlled_step_result</span> 
-  <a name="idm45806990208736-bb"></a><span class="identifier">try_step_v1</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
+  <a name="idm45853740087872-bb"></a><span class="identifier">try_step_v1</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990203728-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">&amp;</span> table<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853740082864-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">&amp;</span> table<span class="special">,</span> 
                    <span class="keyword">const</span> <span class="identifier">value_matrix</span> <span class="special">&amp;</span> coeff<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> xest<span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45806990199280-bb"></a><span class="identifier">calc_h_opt</span><span class="special">(</span><span class="identifier">time_type</span> h<span class="special">,</span> <span class="identifier">value_type</span> error<span class="special">,</span> <span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45853740078416-bb"></a><span class="identifier">calc_h_opt</span><span class="special">(</span><span class="identifier">time_type</span> h<span class="special">,</span> <span class="identifier">value_type</span> error<span class="special">,</span> <span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
 <li class="listitem"><pre class="literallayout"><span class="identifier">controlled_step_result</span> 
-<a name="idm45806990196096-bb"></a><span class="identifier">set_k_opt</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">inv_time_vector</span> <span class="special">&amp;</span> work<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">time_vector</span> <span class="special">&amp;</span> h_opt<span class="special">,</span> 
+<a name="idm45853740075232-bb"></a><span class="identifier">set_k_opt</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">inv_time_vector</span> <span class="special">&amp;</span> work<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">time_vector</span> <span class="special">&amp;</span> h_opt<span class="special">,</span> 
           <span class="identifier">time_type</span> <span class="special">&amp;</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">bool</span> <a name="idm45806990192496-bb"></a><span class="identifier">in_convergence_window</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">bool</span> <a name="idm45806990190688-bb"></a><span class="identifier">should_reject</span><span class="special">(</span><span class="identifier">value_type</span> error<span class="special">,</span> <span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">bool</span> <a name="idm45853740071632-bb"></a><span class="identifier">in_convergence_window</span><span class="special">(</span><span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">bool</span> <a name="idm45853740069824-bb"></a><span class="identifier">should_reject</span><span class="special">(</span><span class="identifier">value_type</span> error<span class="special">,</span> <span class="identifier">size_t</span> k<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
 </ol></div>
 </div>
 </div>
Domain: System / Base;