Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / numeric / odeint / doc / html / boost / numeric / odeint / runge_kutta_cash_karp54.html

diff --git a/libs/numeric/odeint/doc/html/boost/numeric/odeint/runge_kutta_cash_karp54.html b/libs/numeric/odeint/doc/html/boost/numeric/odeint/runge_kutta_cash_karp54.html
index 9802a38..80f0776 100644 (file)
--- a/libs/numeric/odeint/doc/html/boost/numeric/odeint/runge_kutta_cash_karp54.html
+++ b/libs/numeric/odeint/doc/html/boost/numeric/odeint/runge_kutta_cash_karp54.html
@@ -49,27 +49,27 @@
   <span class="keyword">typedef</span> <span class="identifier">stepper_base_type</span><span class="special">::</span><span class="identifier">resizer_type</span>    <a name="boost.numeric.odeint.runge_kutta_cash_karp54.resizer_typ"></a><span class="identifier">resizer_typ</span><span class="special">;</span>    
 
   <span class="comment">// <a class="link" href="runge_kutta_cash_karp54.html#boost.numeric.odeint.runge_kutta_cash_karp54construct-copy-destruct">construct/copy/destruct</a></span>
-  <a class="link" href="runge_kutta_cash_karp54.html#idm45806988854544-bb"><span class="identifier">runge_kutta_cash_karp54</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
+  <a class="link" href="runge_kutta_cash_karp54.html#idm45853738733680-bb"><span class="identifier">runge_kutta_cash_karp54</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="runge_kutta_cash_karp54.html#idm45806988888624-bb">public member functions</a></span>
+  <span class="comment">// <a class="link" href="runge_kutta_cash_karp54.html#idm45853738767760-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> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
            <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="runge_kutta_cash_karp54.html#idm45806988888064-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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">,</span> 
+    <span class="keyword">void</span> <a class="link" href="runge_kutta_cash_karp54.html#idm45853738767200-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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">,</span> 
                       <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">Err</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="keyword">void</span> <a class="link" href="runge_kutta_cash_karp54.html#idm45806988872128-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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">,</span> 
+    <span class="keyword">void</span> <a class="link" href="runge_kutta_cash_karp54.html#idm45853738751264-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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">,</span> 
                       <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</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="runge_kutta_cash_karp54.html#idm45806988858320-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">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="runge_kutta_cash_karp54.html#idm45853738737456-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="special">}</span><span class="special">;</span></pre></div>
 <div class="refsect1">
-<a name="idm46278815418864"></a><h2>Description</h2>
+<a name="idm45221356046320"></a><h2>Description</h2>
 <p>The Runge-Kutta Cash-Karp method is one of the standard methods for solving ordinary differential equations, see <a href="http://en.wikipedia.org/wiki/Cash%E2%80%93Karp_methods" target="_top">en.wikipedia.org/wiki/Cash-Karp_methods</a>. The method is explicit and fulfills the Error Stepper concept. Step size control is provided but continuous output is not available for this method.</p>
 <p>This class derives from explicit_error_stepper_base and inherits its interface via CRTP (current recurring template pattern). Furthermore, it derivs from <a class="link" href="explicit_error_generic_rk.html" title="Class template explicit_error_generic_rk">explicit_error_generic_rk</a> which is a generic Runge-Kutta algorithm with error estimation. For more details see explicit_error_stepper_base and <a class="link" href="explicit_error_generic_rk.html" title="Class template explicit_error_generic_rk">explicit_error_generic_rk</a>.</p>
 <p>
 </p>
 <div class="refsect2">
-<a name="idm46278815414528"></a><h3>Template Parameters</h3>
+<a name="idm45221356041984"></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>
@@ -102,12 +102,12 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278815384160"></a><h3>
+<a name="idm45221356011616"></a><h3>
 <a name="boost.numeric.odeint.runge_kutta_cash_karp54construct-copy-destruct"></a><code class="computeroutput">runge_kutta_cash_karp54</code> 
         public
        construct/copy/destruct</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
-<pre class="literallayout"><a name="idm45806988854544-bb"></a><span class="identifier">runge_kutta_cash_karp54</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the <code class="computeroutput"><a class="link" href="runge_kutta_cash_karp54.html" title="Class template runge_kutta_cash_karp54">runge_kutta_cash_karp54</a></code> class. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
+<pre class="literallayout"><a name="idm45853738733680-bb"></a><span class="identifier">runge_kutta_cash_karp54</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the <code class="computeroutput"><a class="link" href="runge_kutta_cash_karp54.html" title="Class template runge_kutta_cash_karp54">runge_kutta_cash_karp54</a></code> class. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -131,13 +131,13 @@
 </li></ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278815369152"></a><h3>
-<a name="idm45806988888624-bb"></a><code class="computeroutput">runge_kutta_cash_karp54</code> public member functions</h3>
+<a name="idm45221355996544"></a><h3>
+<a name="idm45853738767760-bb"></a><code class="computeroutput">runge_kutta_cash_karp54</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> StateIn<span class="special">,</span> <span class="keyword">typename</span> DerivIn<span class="special">,</span> 
          <span class="keyword">typename</span> StateOut<span class="special">,</span> <span class="keyword">typename</span> Err<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806988888064-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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="keyword">void</span> <a name="idm45853738767200-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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> 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> dt<span class="special">,</span> <span class="identifier">Err</span> <span class="special">&amp;</span> xerr<span class="special">)</span><span class="special">;</span></pre>This method performs one step. The derivative <code class="computeroutput">dxdt</code> of <code class="computeroutput">in</code> at the time <code class="computeroutput">t</code> is passed to the method. The result is updated out-of-place, hence the input is in <code class="computeroutput">in</code> and the output in <code class="computeroutput">out</code>. Futhermore, an estimation of the error is stored in <code class="computeroutput">xerr</code>. <code class="computeroutput">do_step_impl</code> is used by explicit_error_stepper_base. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -189,7 +189,7 @@
 <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> DerivIn<span class="special">,</span> 
          <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806988872128-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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="keyword">void</span> <a name="idm45853738751264-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&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> 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> dt<span class="special">)</span><span class="special">;</span></pre>This method performs one step. The derivative <code class="computeroutput">dxdt</code> of <code class="computeroutput">in</code> at the time <code class="computeroutput">t</code> is passed to the method. The result is updated out-of-place, hence the input is in <code class="computeroutput">in</code> and the output in <code class="computeroutput">out</code>. Access to this step functionality is provided by explicit_stepper_base and <code class="computeroutput">do_step_impl</code> should not be called directly. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -235,7 +235,7 @@
 </table></div>
 </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="idm45806988858320-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="idm45853738737456-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>