Imported Upstream version 1.72.0

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

diff --git a/libs/numeric/odeint/doc/html/boost/numeric/odeint/velocity_verlet.html b/libs/numeric/odeint/doc/html/boost/numeric/odeint/velocity_verlet.html
index 6580a66..e49bee3 100644 (file)
--- a/libs/numeric/odeint/doc/html/boost/numeric/odeint/velocity_verlet.html
+++ b/libs/numeric/odeint/doc/html/boost/numeric/odeint/velocity_verlet.html
@@ -57,49 +57,49 @@
   <span class="keyword">typedef</span> <span class="keyword">unsigned</span> <span class="keyword">short</span>                                <a name="boost.numeric.odeint.velocity_verlet.order_type"></a><span class="identifier">order_type</span><span class="special">;</span>               
 
   <span class="comment">// <a class="link" href="velocity_verlet.html#boost.numeric.odeint.velocity_verletconstruct-copy-destruct">construct/copy/destruct</a></span>
-  <a class="link" href="velocity_verlet.html#idm45806988462512-bb"><span class="identifier">velocity_verlet</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="velocity_verlet.html#idm45853738341648-bb"><span class="identifier">velocity_verlet</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="velocity_verlet.html#idm45806988519056-bb">public member functions</a></span>
-  <span class="identifier">order_type</span> <a class="link" href="velocity_verlet.html#idm45806988518496-bb"><span class="identifier">order</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="comment">// <a class="link" href="velocity_verlet.html#idm45853738398192-bb">public member functions</a></span>
+  <span class="identifier">order_type</span> <a class="link" href="velocity_verlet.html#idm45853738397632-bb"><span class="identifier">order</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</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="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988515680-bb"><span class="identifier">do_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">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738394816-bb"><span class="identifier">do_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">,</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> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988507120-bb"><span class="identifier">do_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">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738386256-bb"><span class="identifier">do_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">,</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> System<span class="special">,</span> <span class="keyword">typename</span> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">,</span> 
            <span class="keyword">typename</span> AccelerationIn<span class="special">,</span> <span class="keyword">typename</span> CoorOut<span class="special">,</span> <span class="keyword">typename</span> VelocityOut<span class="special">,</span> 
            <span class="keyword">typename</span> AccelerationOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988498560-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">CoorIn</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">VelocityIn</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738377696-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">CoorIn</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">VelocityIn</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">,</span> 
                  <span class="identifier">AccelerationIn</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">CoorOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">VelocityOut</span> <span class="special">&amp;</span><span class="special">,</span> 
                  <span class="identifier">AccelerationOut</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>
-  <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="velocity_verlet.html#idm45806988484016-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="velocity_verlet.html#idm45806988480400-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> AccelerationIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988478016-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">AccelerationIn</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="velocity_verlet.html#idm45853738363152-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="velocity_verlet.html#idm45853738359536-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> AccelerationIn<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738357152-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">AccelerationIn</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> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988474896-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</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">bool</span> <a class="link" href="velocity_verlet.html#idm45806988465488-bb"><span class="identifier">is_initialized</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738354032-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</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">bool</span> <a class="link" href="velocity_verlet.html#idm45853738344624-bb"><span class="identifier">is_initialized</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="velocity_verlet.html#idm45806988459280-bb">private member functions</a></span>
+  <span class="comment">// <a class="link" href="velocity_verlet.html#idm45853738338416-bb">private 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> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988458704-bb"><span class="identifier">initialize_acc</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</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">void</span> <a class="link" href="velocity_verlet.html#idm45853738337840-bb"><span class="identifier">initialize_acc</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</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> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988453136-bb"><span class="identifier">do_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">,</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">bool</span> <a class="link" href="velocity_verlet.html#idm45806988448128-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="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45806988445744-bb"><span class="identifier">get_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45806988444208-bb"><span class="identifier">get_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45806988442384-bb"><span class="identifier">get_old_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45806988440848-bb"><span class="identifier">get_old_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45806988439024-bb"><span class="identifier">toggle_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738332272-bb"><span class="identifier">do_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">,</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">bool</span> <a class="link" href="velocity_verlet.html#idm45853738327264-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="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45853738324880-bb"><span class="identifier">get_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45853738323344-bb"><span class="identifier">get_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45853738321520-bb"><span class="identifier">get_old_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a class="link" href="velocity_verlet.html#idm45853738319984-bb"><span class="identifier">get_old_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="keyword">void</span> <a class="link" href="velocity_verlet.html#idm45853738318160-bb"><span class="identifier">toggle_current_acc</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</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">order_type</span> <span class="identifier">order_value</span><span class="special">;</span>
 <span class="special">}</span><span class="special">;</span></pre></div>
 <div class="refsect1">
-<a name="idm46278813114960"></a><h2>Description</h2>
+<a name="idm45221353693056"></a><h2>Description</h2>
 <p><a href="http://en.wikipedia.org/wiki/Verlet_integration" target="_top">The Velocity-Verlet algorithm</a> is a method for simulation of molecular dynamics systems. It solves the ODE a=f(r,v',t) where r are the coordinates, v are the velocities and a are the accelerations, hence v = dr/dt, a=dv/dt.</p>
 <p>
 </p>
 <div class="refsect2">
-<a name="idm46278813113216"></a><h3>Template Parameters</h3>
+<a name="idm45221353691312"></a><h3>Template Parameters</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">typename</span> Coor</pre>
@@ -140,12 +140,12 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278813076240"></a><h3>
+<a name="idm45221353654336"></a><h3>
 <a name="boost.numeric.odeint.velocity_verletconstruct-copy-destruct"></a><code class="computeroutput">velocity_verlet</code> 
         public
        construct/copy/destruct</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
-<pre class="literallayout"><a name="idm45806988462512-bb"></a><span class="identifier">velocity_verlet</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="velocity_verlet.html" title="Class template velocity_verlet">velocity_verlet</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="idm45853738341648-bb"></a><span class="identifier">velocity_verlet</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="velocity_verlet.html" title="Class template velocity_verlet">velocity_verlet</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>
@@ -169,11 +169,11 @@
 </li></ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278813061088"></a><h3>
-<a name="idm45806988519056-bb"></a><code class="computeroutput">velocity_verlet</code> public member functions</h3>
+<a name="idm45221353639248"></a><h3>
+<a name="idm45853738398192-bb"></a><code class="computeroutput">velocity_verlet</code> public member functions</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem">
-<pre class="literallayout"><span class="identifier">order_type</span> <a name="idm45806988518496-bb"></a><span class="identifier">order</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<pre class="literallayout"><span class="identifier">order_type</span> <a name="idm45853738397632-bb"></a><span class="identifier">order</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -189,7 +189,7 @@
 </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="keyword">void</span> <a name="idm45806988515680-bb"></a><span class="identifier">do_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> t<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. It transforms the result in-place. <p>It can be used like </p>
+  <span class="keyword">void</span> <a name="idm45853738394816-bb"></a><span class="identifier">do_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> t<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. It transforms the result in-place. <p>It can be used like </p>
 <pre class="programlisting"><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">coordinates</span> <span class="special">,</span> <span class="identifier">velocities</span> <span class="special">&gt;</span> <span class="identifier">state</span><span class="special">;</span>
 <span class="identifier">stepper</span><span class="special">.</span><span class="identifier">do_step</span><span class="special">(</span> <span class="identifier">sys</span> <span class="special">,</span> <span class="identifier">x</span> <span class="special">,</span> <span class="identifier">t</span> <span class="special">,</span> <span class="identifier">dt</span> <span class="special">)</span><span class="special">;</span>
 </pre>
@@ -231,7 +231,7 @@
 </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="keyword">void</span> <a name="idm45806988507120-bb"></a><span class="identifier">do_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> t<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. It transforms the result in-place. <p>It can be used like </p>
+  <span class="keyword">void</span> <a name="idm45853738386256-bb"></a><span class="identifier">do_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> t<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. It transforms the result in-place. <p>It can be used like </p>
 <pre class="programlisting"><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">coordinates</span> <span class="special">,</span> <span class="identifier">velocities</span> <span class="special">&gt;</span> <span class="identifier">state</span><span class="special">;</span>
 <span class="identifier">stepper</span><span class="special">.</span><span class="identifier">do_step</span><span class="special">(</span> <span class="identifier">sys</span> <span class="special">,</span> <span class="identifier">x</span> <span class="special">,</span> <span class="identifier">t</span> <span class="special">,</span> <span class="identifier">dt</span> <span class="special">)</span><span class="special">;</span>
 </pre>
@@ -275,7 +275,7 @@
 <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> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">,</span> 
          <span class="keyword">typename</span> AccelerationIn<span class="special">,</span> <span class="keyword">typename</span> CoorOut<span class="special">,</span> <span class="keyword">typename</span> VelocityOut<span class="special">,</span> 
          <span class="keyword">typename</span> AccelerationOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806988498560-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">CoorIn</span> <span class="keyword">const</span> <span class="special">&amp;</span> qin<span class="special">,</span> <span class="identifier">VelocityIn</span> <span class="keyword">const</span> <span class="special">&amp;</span> pin<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853738377696-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">CoorIn</span> <span class="keyword">const</span> <span class="special">&amp;</span> qin<span class="special">,</span> <span class="identifier">VelocityIn</span> <span class="keyword">const</span> <span class="special">&amp;</span> pin<span class="special">,</span> 
                <span class="identifier">AccelerationIn</span> <span class="keyword">const</span> <span class="special">&amp;</span> ain<span class="special">,</span> <span class="identifier">CoorOut</span> <span class="special">&amp;</span> qout<span class="special">,</span> 
                <span class="identifier">VelocityOut</span> <span class="special">&amp;</span> pout<span class="special">,</span> <span class="identifier">AccelerationOut</span> <span class="special">&amp;</span> aout<span class="special">,</span> <span class="identifier">time_type</span> t<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. It transforms the result in-place. Additionally to the other methods the coordinates, velocities and accelerations are passed directly to do_step and they are transformed out-of-place. <p>It can be used like </p>
@@ -317,7 +317,7 @@
 </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="idm45806988484016-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="idm45853738363152-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>
@@ -340,14 +340,14 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">void</span> <a name="idm45806988480400-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal state of this stepper. After calling this method it is safe to use all <code class="computeroutput">do_step</code> method without explicitly initializing the stepper. </li>
+<pre class="literallayout"><span class="keyword">void</span> <a name="idm45853738359536-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal state of this stepper. After calling this method it is safe to use all <code class="computeroutput">do_step</code> method without explicitly initializing the stepper. </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> AccelerationIn<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45806988478016-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">AccelerationIn</span> <span class="special">&amp;</span> ain<span class="special">)</span><span class="special">;</span></pre>Initializes the internal state of the stepper. <p>
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> AccelerationIn<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45853738357152-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">AccelerationIn</span> <span class="special">&amp;</span> ain<span class="special">)</span><span class="special">;</span></pre>Initializes the internal state of the stepper. <p>
 </p>
 </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> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806988474896-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span> qin<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</span> <span class="special">&amp;</span> pin<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853738354032-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span> qin<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">VelocityIn</span> <span class="special">&amp;</span> pin<span class="special">,</span> 
                   <span class="identifier">time_type</span> t<span class="special">)</span><span class="special">;</span></pre>Initializes the internal state of the stepper. <p>This method is equivalent to </p>
 <pre class="programlisting"><span class="identifier">Acceleration</span> <span class="identifier">a</span><span class="special">;</span>
 <span class="identifier">system</span><span class="special">(</span> <span class="identifier">qin</span> <span class="special">,</span> <span class="identifier">pin</span> <span class="special">,</span> <span class="identifier">a</span> <span class="special">,</span> <span class="identifier">t</span> <span class="special">)</span><span class="special">;</span>
@@ -390,7 +390,7 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">bool</span> <a name="idm45806988465488-bb"></a><span class="identifier">is_initialized</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
+<pre class="literallayout"><span class="keyword">bool</span> <a name="idm45853738344624-bb"></a><span class="identifier">is_initialized</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
 <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -407,20 +407,20 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278812844144"></a><h3>
-<a name="idm45806988459280-bb"></a><code class="computeroutput">velocity_verlet</code> private member functions</h3>
+<a name="idm45221353422048"></a><h3>
+<a name="idm45853738338416-bb"></a><code class="computeroutput">velocity_verlet</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> System<span class="special">,</span> <span class="keyword">typename</span> CoorIn<span class="special">,</span> <span class="keyword">typename</span> VelocityIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806988458704-bb"></a><span class="identifier">initialize_acc</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span> qin<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853738337840-bb"></a><span class="identifier">initialize_acc</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">CoorIn</span> <span class="special">&amp;</span> qin<span class="special">,</span> 
                       <span class="keyword">const</span> <span class="identifier">VelocityIn</span> <span class="special">&amp;</span> pin<span class="special">,</span> <span class="identifier">time_type</span> t<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="keyword">void</span> <a name="idm45806988453136-bb"></a><span class="identifier">do_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> t<span class="special">,</span> <span class="identifier">time_type</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> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806988448128-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="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45806988445744-bb"></a><span class="identifier">get_current_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45806988444208-bb"></a><span class="identifier">get_current_acc</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>
-<li class="listitem"><pre class="literallayout"><span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45806988442384-bb"></a><span class="identifier">get_old_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45806988440848-bb"></a><span class="identifier">get_old_acc</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>
-<li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idm45806988439024-bb"></a><span class="identifier">toggle_current_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
+  <span class="keyword">void</span> <a name="idm45853738332272-bb"></a><span class="identifier">do_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> t<span class="special">,</span> <span class="identifier">time_type</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> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45853738327264-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="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45853738324880-bb"></a><span class="identifier">get_current_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45853738323344-bb"></a><span class="identifier">get_current_acc</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>
+<li class="listitem"><pre class="literallayout"><span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45853738321520-bb"></a><span class="identifier">get_old_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">acceleration_type</span> <span class="special">&amp;</span> <a name="idm45853738319984-bb"></a><span class="identifier">get_old_acc</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>
+<li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idm45853738318160-bb"></a><span class="identifier">toggle_current_acc</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
 </ol></div>
 </div>
 </div>