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25 <div class="refentry">
26 <a name="boost.numeric.odeint.adams_bashforth"></a><div class="titlepage"></div>
27 <div class="refnamediv">
28 <h2><span class="refentrytitle">Class template adams_bashforth</span></h2>
29 <p>boost::numeric::odeint::adams_bashforth — The Adams-Bashforth multistep algorithm. </p>
31 <h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
32 <div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: <<a class="link" href="../../../header/boost/numeric/odeint/stepper/adams_bashforth_hpp.html" title="Header <boost/numeric/odeint/stepper/adams_bashforth.hpp>">boost/numeric/odeint/stepper/adams_bashforth.hpp</a>>
34 </span><span class="keyword">template</span><span class="special"><</span><span class="identifier">size_t</span> Steps<span class="special">,</span> <span class="keyword">typename</span> State<span class="special">,</span> <span class="keyword">typename</span> Value <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
35 <span class="keyword">typename</span> Deriv <span class="special">=</span> <span class="identifier">State</span><span class="special">,</span> <span class="keyword">typename</span> Time <span class="special">=</span> <span class="identifier">Value</span><span class="special">,</span>
36 <span class="keyword">typename</span> Algebra <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">algebra_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">algebra_type</span><span class="special">,</span>
37 <span class="keyword">typename</span> Operations <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">operations_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">operations_type</span><span class="special">,</span>
38 <span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span><span class="special">,</span>
39 <span class="keyword">typename</span> InitializingStepper <span class="special">=</span> <a class="link" href="runge_kutta4.html" title="Class template runge_kutta4">runge_kutta4</a><span class="special"><</span> <span class="identifier">State</span> <span class="special">,</span> <span class="identifier">Value</span> <span class="special">,</span> <span class="identifier">Deriv</span> <span class="special">,</span> <span class="identifier">Time</span> <span class="special">,</span> <span class="identifier">Algebra</span> <span class="special">,</span> <span class="identifier">Operations</span><span class="special">,</span> <span class="identifier">Resizer</span> <span class="special">></span> <span class="special">></span>
40 <span class="keyword">class</span> <a class="link" href="adams_bashforth.html" title="Class template adams_bashforth">adams_bashforth</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">algebra_stepper_base</span><span class="special"><</span> <span class="identifier">Algebra</span><span class="special">,</span> <span class="identifier">Operations</span> <span class="special">></span> <span class="special">{</span>
41 <span class="keyword">public</span><span class="special">:</span>
42 <span class="comment">// types</span>
43 <span class="keyword">typedef</span> <span class="identifier">State</span> <a name="boost.numeric.odeint.adams_bashforth.state_type"></a><span class="identifier">state_type</span><span class="special">;</span>
44 <span class="keyword">typedef</span> <span class="identifier">state_wrapper</span><span class="special"><</span> <span class="identifier">state_type</span> <span class="special">></span> <a name="boost.numeric.odeint.adams_bashforth.wrapped_state_type"></a><span class="identifier">wrapped_state_type</span><span class="special">;</span>
45 <span class="keyword">typedef</span> <span class="identifier">Value</span> <a name="boost.numeric.odeint.adams_bashforth.value_type"></a><span class="identifier">value_type</span><span class="special">;</span>
46 <span class="keyword">typedef</span> <span class="identifier">Deriv</span> <a name="boost.numeric.odeint.adams_bashforth.deriv_type"></a><span class="identifier">deriv_type</span><span class="special">;</span>
47 <span class="keyword">typedef</span> <span class="identifier">state_wrapper</span><span class="special"><</span> <span class="identifier">deriv_type</span> <span class="special">></span> <a name="boost.numeric.odeint.adams_bashforth.wrapped_deriv_type"></a><span class="identifier">wrapped_deriv_type</span><span class="special">;</span>
48 <span class="keyword">typedef</span> <span class="identifier">Time</span> <a name="boost.numeric.odeint.adams_bashforth.time_type"></a><span class="identifier">time_type</span><span class="special">;</span>
49 <span class="keyword">typedef</span> <span class="identifier">Resizer</span> <a name="boost.numeric.odeint.adams_bashforth.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span>
50 <span class="keyword">typedef</span> <span class="identifier">stepper_tag</span> <a name="boost.numeric.odeint.adams_bashforth.stepper_category"></a><span class="identifier">stepper_category</span><span class="special">;</span>
51 <span class="keyword">typedef</span> <span class="identifier">InitializingStepper</span> <a name="boost.numeric.odeint.adams_bashforth.initializing_stepper_type"></a><span class="identifier">initializing_stepper_type</span><span class="special">;</span>
52 <span class="keyword">typedef</span> <span class="identifier">algebra_stepper_base</span><span class="special"><</span> <span class="identifier">Algebra</span><span class="special">,</span> <span class="identifier">Operations</span> <span class="special">></span> <a name="boost.numeric.odeint.adams_bashforth.algebra_stepper_base_type"></a><span class="identifier">algebra_stepper_base_type</span><span class="special">;</span>
53 <span class="keyword">typedef</span> <span class="identifier">algebra_stepper_base_type</span><span class="special">::</span><span class="identifier">algebra_type</span> <a name="boost.numeric.odeint.adams_bashforth.algebra_type"></a><span class="identifier">algebra_type</span><span class="special">;</span>
54 <span class="keyword">typedef</span> <span class="identifier">algebra_stepper_base_type</span><span class="special">::</span><span class="identifier">operations_type</span> <a name="boost.numeric.odeint.adams_bashforth.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span>
55 <span class="keyword">typedef</span> <span class="keyword">unsigned</span> <span class="keyword">short</span> <a name="boost.numeric.odeint.adams_bashforth.order_type"></a><span class="identifier">order_type</span><span class="special">;</span>
56 <span class="keyword">typedef</span> <span class="emphasis"><em><span class="identifier">unspecified</span></em></span> <a name="boost.numeric.odeint.adams_bashforth.step_storage_type"></a><span class="identifier">step_storage_type</span><span class="special">;</span>
58 <span class="comment">// <a class="link" href="adams_bashforth.html#boost.numeric.odeint.adams_bashforthconstruct-copy-destruct">construct/copy/destruct</a></span>
59 <a class="link" href="adams_bashforth.html#idp31363856-bb"><span class="identifier">adams_bashforth</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&</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>
61 <span class="comment">// <a class="link" href="adams_bashforth.html#idp31305776-bb">public member functions</a></span>
62 <span class="identifier">order_type</span> <a class="link" href="adams_bashforth.html#idp31306336-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>
63 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">></span>
64 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31309328-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">&</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>
65 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">></span>
66 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31314336-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">&</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>
67 <span class="keyword">template</span><span class="special"><</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">></span>
68 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31319712-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">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
69 <span class="keyword">template</span><span class="special"><</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">></span>
70 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31325968-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">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span>
71 <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
72 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateType<span class="special">></span> <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31332592-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span>
73 <span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&</span> <a class="link" href="adams_bashforth.html#idp31336208-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
74 <span class="identifier">step_storage_type</span> <span class="special">&</span> <a class="link" href="adams_bashforth.html#idp31339200-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
75 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> ExplicitStepper<span class="special">,</span> <span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">></span>
76 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31341904-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">ExplicitStepper</span><span class="special">,</span> <span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&</span><span class="special">,</span>
77 <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
78 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">></span>
79 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31348160-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
80 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31353168-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
81 <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idp31355024-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>
82 <span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&</span> <a class="link" href="adams_bashforth.html#idp31358016-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
83 <span class="identifier">initializing_stepper_type</span> <span class="special">&</span> <a class="link" href="adams_bashforth.html#idp31360992-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
85 <span class="comment">// <a class="link" href="adams_bashforth.html#idp31367088-bb">private member functions</a></span>
86 <span class="keyword">template</span><span class="special"><</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">></span>
87 <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idp31367664-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">&</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span><span class="special">,</span>
88 <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
89 <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idp31373920-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">&</span><span class="special">)</span><span class="special">;</span>
91 <span class="comment">// public data members</span>
92 <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">size_t</span> <span class="identifier">steps</span><span class="special">;</span>
93 <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>
94 <span class="special">}</span><span class="special">;</span></pre></div>
95 <div class="refsect1">
96 <a name="idp105899472"></a><h2>Description</h2>
97 <p>The Adams-Bashforth method is a multi-step algorithm with configurable step number. The step number is specified as template parameter Steps and it then uses the result from the previous Steps steps. See also <a href="http://en.wikipedia.org/wiki/Linear_multistep_method" target="_top">en.wikipedia.org/wiki/Linear_multistep_method</a>. Currently, a maximum of Steps=8 is supported. The method is explicit and fulfills the Stepper concept. Step size control or continuous output are not provided.</p>
98 <p>This class derives from algebra_base and inherits its interface via CRTP (current recurring template pattern). For more details see algebra_stepper_base.</p>
101 <div class="refsect2">
102 <a name="idp105901984"></a><h3>Template Parameters</h3>
103 <div class="orderedlist"><ol class="orderedlist" type="1">
104 <li class="listitem">
105 <pre class="literallayout"><span class="identifier">size_t</span> Steps</pre>
106 <p>The number of steps (maximal 8). </p>
108 <li class="listitem">
109 <pre class="literallayout"><span class="keyword">typename</span> State</pre>
110 <p>The state type. </p>
112 <li class="listitem">
113 <pre class="literallayout"><span class="keyword">typename</span> Value <span class="special">=</span> <span class="keyword">double</span></pre>
114 <p>The value type. </p>
116 <li class="listitem">
117 <pre class="literallayout"><span class="keyword">typename</span> Deriv <span class="special">=</span> <span class="identifier">State</span></pre>
118 <p>The type representing the time derivative of the state. </p>
120 <li class="listitem">
121 <pre class="literallayout"><span class="keyword">typename</span> Time <span class="special">=</span> <span class="identifier">Value</span></pre>
122 <p>The time representing the independent variable - the time. </p>
124 <li class="listitem">
125 <pre class="literallayout"><span class="keyword">typename</span> Algebra <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">algebra_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">algebra_type</span></pre>
126 <p>The algebra type. </p>
128 <li class="listitem">
129 <pre class="literallayout"><span class="keyword">typename</span> Operations <span class="special">=</span> <span class="keyword">typename</span> <span class="identifier">operations_dispatcher</span><span class="special"><</span> <span class="identifier">State</span> <span class="special">></span><span class="special">::</span><span class="identifier">operations_type</span></pre>
130 <p>The operations type. </p>
132 <li class="listitem">
133 <pre class="literallayout"><span class="keyword">typename</span> Resizer <span class="special">=</span> <span class="identifier">initially_resizer</span></pre>
134 <p>The resizer policy type. </p>
136 <li class="listitem">
137 <pre class="literallayout"><span class="keyword">typename</span> InitializingStepper <span class="special">=</span> <a class="link" href="runge_kutta4.html" title="Class template runge_kutta4">runge_kutta4</a><span class="special"><</span> <span class="identifier">State</span> <span class="special">,</span> <span class="identifier">Value</span> <span class="special">,</span> <span class="identifier">Deriv</span> <span class="special">,</span> <span class="identifier">Time</span> <span class="special">,</span> <span class="identifier">Algebra</span> <span class="special">,</span> <span class="identifier">Operations</span><span class="special">,</span> <span class="identifier">Resizer</span> <span class="special">></span></pre>
138 <p>The stepper for the first two steps. </p>
142 <div class="refsect2">
143 <a name="idp105947744"></a><h3>
144 <a name="boost.numeric.odeint.adams_bashforthconstruct-copy-destruct"></a><code class="computeroutput">adams_bashforth</code>
146 construct/copy/destruct</h3>
147 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
148 <pre class="literallayout"><a name="idp31363856-bb"></a><span class="identifier">adams_bashforth</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&</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="adams_bashforth.html" title="Class template adams_bashforth">adams_bashforth</a></code> class. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
150 <div class="variablelist"><table border="0" class="variablelist compact">
152 <col align="left" valign="top">
156 <td><p><span class="term">Parameters:</span></p></td>
157 <td><div class="variablelist"><table border="0" class="variablelist compact">
159 <col align="left" valign="top">
163 <td><p><span class="term"><code class="computeroutput">algebra</code></span></p></td>
164 <td><p>A copy of algebra is made and stored. </p></td>
171 <div class="refsect2">
172 <a name="idp105962832"></a><h3>
173 <a name="idp31305776-bb"></a><code class="computeroutput">adams_bashforth</code> public member functions</h3>
174 <div class="orderedlist"><ol class="orderedlist" type="1">
175 <li class="listitem">
176 <pre class="literallayout"><span class="identifier">order_type</span> <a name="idp31306336-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>Returns the order of the algorithm, which is equal to the number of steps. <p>
178 <div class="variablelist"><table border="0" class="variablelist compact">
180 <col align="left" valign="top">
184 <td><p><span class="term">Returns:</span></p></td>
185 <td><p>order of the method. </p></td>
189 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">></span>
190 <span class="keyword">void</span> <a name="idp31309328-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">&</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>
191 <li class="listitem">
192 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">></span>
193 <span class="keyword">void</span> <a name="idp31314336-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">&</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>Second version to solve the forwarding problem, can be called with Boost.Range as StateInOut. </li>
194 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</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">></span>
195 <span class="keyword">void</span> <a name="idp31319712-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">StateIn</span> <span class="special">&</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span>
196 <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
197 <li class="listitem">
198 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</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">></span>
199 <span class="keyword">void</span> <a name="idp31325968-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">StateIn</span> <span class="special">&</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span>
200 <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be called with Boost.Range as StateOut. </li>
201 <li class="listitem">
202 <pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateType<span class="special">></span> <span class="keyword">void</span> <a name="idp31332592-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
204 <div class="variablelist"><table border="0" class="variablelist compact">
206 <col align="left" valign="top">
210 <td><p><span class="term">Parameters:</span></p></td>
211 <td><div class="variablelist"><table border="0" class="variablelist compact">
213 <col align="left" valign="top">
217 <td><p><span class="term"><code class="computeroutput">x</code></span></p></td>
218 <td><p>A state from which the size of the temporaries to be resized is deduced. </p></td>
224 <li class="listitem">
225 <pre class="literallayout"><span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&</span> <a name="idp31336208-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
227 <div class="variablelist"><table border="0" class="variablelist compact">
229 <col align="left" valign="top">
233 <td><p><span class="term">Returns:</span></p></td>
234 <td><p>The storage of intermediate results. </p></td>
238 <li class="listitem">
239 <pre class="literallayout"><span class="identifier">step_storage_type</span> <span class="special">&</span> <a name="idp31339200-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
241 <div class="variablelist"><table border="0" class="variablelist compact">
243 <col align="left" valign="top">
247 <td><p><span class="term">Returns:</span></p></td>
248 <td><p>The storage of intermediate results. </p></td>
252 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> ExplicitStepper<span class="special">,</span> <span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">></span>
253 <span class="keyword">void</span> <a name="idp31341904-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">ExplicitStepper</span> explicit_stepper<span class="special">,</span> <span class="identifier">System</span> system<span class="special">,</span>
254 <span class="identifier">StateIn</span> <span class="special">&</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
255 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">></span>
256 <span class="keyword">void</span> <a name="idp31348160-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
257 <li class="listitem">
258 <pre class="literallayout"><span class="keyword">void</span> <a name="idp31353168-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 buffer of the stepper. </li>
259 <li class="listitem">
260 <pre class="literallayout"><span class="keyword">bool</span> <a name="idp31355024-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>Returns true if the stepper has been initialized. <p>
262 <div class="variablelist"><table border="0" class="variablelist compact">
264 <col align="left" valign="top">
268 <td><p><span class="term">Returns:</span></p></td>
269 <td><p>bool true if stepper is initialized, false otherwise </p></td>
273 <li class="listitem">
274 <pre class="literallayout"><span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&</span> <a name="idp31358016-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
276 <div class="variablelist"><table border="0" class="variablelist compact">
278 <col align="left" valign="top">
282 <td><p><span class="term">Returns:</span></p></td>
283 <td><p>initializing_stepper </p></td>
287 <li class="listitem">
288 <pre class="literallayout"><span class="identifier">initializing_stepper_type</span> <span class="special">&</span> <a name="idp31360992-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
290 <div class="variablelist"><table border="0" class="variablelist compact">
292 <col align="left" valign="top">
296 <td><p><span class="term">Returns:</span></p></td>
297 <td><p>initializing_stepper </p></td>
303 <div class="refsect2">
304 <a name="idp106125840"></a><h3>
305 <a name="idp31367088-bb"></a><code class="computeroutput">adams_bashforth</code> private member functions</h3>
306 <div class="orderedlist"><ol class="orderedlist" type="1">
307 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</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">></span>
308 <span class="keyword">void</span> <a name="idp31367664-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">&</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span>
309 <span class="identifier">StateOut</span> <span class="special">&</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
310 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> StateIn<span class="special">></span> <span class="keyword">bool</span> <a name="idp31373920-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">&</span> x<span class="special">)</span><span class="special">;</span></pre></li>
315 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
316 <td align="left"></td>
317 <td align="right"><div class="copyright-footer">Copyright © 2009-2012 Karsten
318 Ahnert and Mario Mulansky<p>
319 Distributed under the Boost Software License, Version 1.0. (See accompanying
320 file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
325 <div class="spirit-nav">
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