1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>System</title> 5<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../../index.html" title="Chapter 1. Boost.Numeric.Odeint"> 8<link rel="up" href="../concepts.html" title="Concepts"> 9<link rel="prev" href="../concepts.html" title="Concepts"> 10<link rel="next" href="second_order_system.html" title="Second Order System"> 11</head> 12<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 13<table cellpadding="2" width="100%"><tr> 14<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../logo.jpg"></td> 15<td align="center"><a href="../../../../../../../index.html">Home</a></td> 16<td align="center"><a href="../../../../../../../libs/libraries.htm">Libraries</a></td> 17<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 18<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 19<td align="center"><a href="../../../../../../../more/index.htm">More</a></td> 20</tr></table> 21<hr> 22<div class="spirit-nav"> 23<a accesskey="p" href="../concepts.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="second_order_system.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a> 24</div> 25<div class="section"> 26<div class="titlepage"><div><div><h3 class="title"> 27<a name="boost_numeric_odeint.concepts.system"></a><a class="link" href="system.html" title="System">System</a> 28</h3></div></div></div> 29<h5> 30<a name="boost_numeric_odeint.concepts.system.h0"></a> 31 <span class="phrase"><a name="boost_numeric_odeint.concepts.system.description"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.description">Description</a> 32 </h5> 33<p> 34 The System concept models the algorithmic implementation of the rhs. of the 35 ODE <span class="emphasis"><em>x' = f(x,t)</em></span>. The only requirement for this concept 36 is that it should be callable with a specific parameter syntax (see below). 37 A System is typically implemented as a function or a functor. Systems fulfilling 38 this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer 39 steppers. However, symplectic and implicit steppers work with other system 40 concepts, see <a class="link" href="symplectic_system.html" title="Symplectic System">Symplectic 41 System</a> and <a class="link" href="implicit_system.html" title="Implicit System">Implicit 42 System</a>. 43 </p> 44<h5> 45<a name="boost_numeric_odeint.concepts.system.h1"></a> 46 <span class="phrase"><a name="boost_numeric_odeint.concepts.system.notation"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.notation">Notation</a> 47 </h5> 48<div class="variablelist"> 49<p class="title"><b></b></p> 50<dl class="variablelist"> 51<dt><span class="term"><code class="computeroutput"><span class="identifier">System</span></code></span></dt> 52<dd><p> 53 A type that is a model of System 54 </p></dd> 55<dt><span class="term"><code class="computeroutput"><span class="identifier">State</span></code></span></dt> 56<dd><p> 57 A type representing the state <span class="emphasis"><em>x</em></span> of the ODE 58 </p></dd> 59<dt><span class="term"><code class="computeroutput"><span class="identifier">Deriv</span></code></span></dt> 60<dd><p> 61 A type representing the derivative <span class="emphasis"><em>x'</em></span> of the ODE 62 </p></dd> 63<dt><span class="term"><code class="computeroutput"><span class="identifier">Time</span></code></span></dt> 64<dd><p> 65 A type representing the time 66 </p></dd> 67<dt><span class="term"><code class="computeroutput"><span class="identifier">sys</span></code></span></dt> 68<dd><p> 69 An object of type <code class="computeroutput"><span class="identifier">System</span></code> 70 </p></dd> 71<dt><span class="term"><code class="computeroutput"><span class="identifier">x</span></code></span></dt> 72<dd><p> 73 Object of type <code class="computeroutput"><span class="identifier">State</span></code> 74 </p></dd> 75<dt><span class="term"><code class="computeroutput"><span class="identifier">dxdt</span></code></span></dt> 76<dd><p> 77 Object of type <code class="computeroutput"><span class="identifier">Deriv</span></code> 78 </p></dd> 79<dt><span class="term"><code class="computeroutput"><span class="identifier">t</span></code></span></dt> 80<dd><p> 81 Object of type <code class="computeroutput"><span class="identifier">Time</span></code> 82 </p></dd> 83</dl> 84</div> 85<h5> 86<a name="boost_numeric_odeint.concepts.system.h2"></a> 87 <span class="phrase"><a name="boost_numeric_odeint.concepts.system.valid_expressions"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.valid_expressions">Valid expressions</a> 88 </h5> 89<div class="informaltable"><table class="table"> 90<colgroup> 91<col> 92<col> 93<col> 94<col> 95</colgroup> 96<thead><tr> 97<th> 98 <p> 99 Name 100 </p> 101 </th> 102<th> 103 <p> 104 Expression 105 </p> 106 </th> 107<th> 108 <p> 109 Type 110 </p> 111 </th> 112<th> 113 <p> 114 Semantics 115 </p> 116 </th> 117</tr></thead> 118<tbody><tr> 119<td> 120 <p> 121 Calculate <span class="emphasis"><em>dx/dt := f(x,t)</em></span> 122 </p> 123 </td> 124<td> 125 <p> 126 <code class="computeroutput"><span class="identifier">sys</span><span class="special">(</span> 127 <span class="identifier">x</span> <span class="special">,</span> 128 <span class="identifier">dxdt</span> <span class="special">,</span> 129 <span class="identifier">t</span> <span class="special">)</span></code> 130 </p> 131 </td> 132<td> 133 <p> 134 <code class="computeroutput"><span class="keyword">void</span></code> 135 </p> 136 </td> 137<td> 138 <p> 139 Calculates f(x,t), the result is stored into dxdt 140 </p> 141 </td> 142</tr></tbody> 143</table></div> 144</div> 145<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 146<td align="left"></td> 147<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky<p> 148 Distributed under the Boost Software License, Version 1.0. (See accompanying 149 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>) 150 </p> 151</div></td> 152</tr></table> 153<hr> 154<div class="spirit-nav"> 155<a accesskey="p" href="../concepts.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="second_order_system.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a> 156</div> 157</body> 158</html> 159
