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<title>PPL: Parma_Polyhedra_Library::Grid_Certificate Class Reference</title>
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<div class="navpath"><a class="el" href="namespaceParma__Polyhedra__Library.html">Parma_Polyhedra_Library</a>::<a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html">Grid_Certificate</a>
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<h1>Parma_Polyhedra_Library::Grid_Certificate Class Reference<br/>
<small>
[<a class="el" href="group__PPL__CXX__interface.html">C++ Language Interface</a>]</small>
</h1><!-- doxytag: class="Parma_Polyhedra_Library::Grid_Certificate" -->
<p>The convergence certificate for the <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html" title="A grid.">Grid</a> widening operator.
<a href="#_details">More...</a></p>
<p><code>#include <ppl.hh></code></p>
<p><a href="classParma__Polyhedra__Library_1_1Grid__Certificate-members.html">List of all members.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct </td><td class="memItemRight" valign="bottom"><a class="el" href="structParma__Polyhedra__Library_1_1Grid__Certificate_1_1Compare.html">Compare</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">A total ordering on <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html" title="A grid.">Grid</a> certificates. <a href="structParma__Polyhedra__Library_1_1Grid__Certificate_1_1Compare.html#_details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac03d43b46ab7f9e5d0ea3c46a5eab7b3"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::Grid_Certificate" ref="ac03d43b46ab7f9e5d0ea3c46a5eab7b3" args="()" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#ac03d43b46ab7f9e5d0ea3c46a5eab7b3">Grid_Certificate</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acf34edb23c376600051bbc563e4122c4"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::Grid_Certificate" ref="acf34edb23c376600051bbc563e4122c4" args="(const Grid &gr)" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#acf34edb23c376600051bbc563e4122c4">Grid_Certificate</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html">Grid</a> &gr)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor: computes the certificate for <code>gr</code>. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a67cbe06cd666025c2ff64652d5824a2f"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::Grid_Certificate" ref="a67cbe06cd666025c2ff64652d5824a2f" args="(const Grid_Certificate &y)" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#a67cbe06cd666025c2ff64652d5824a2f">Grid_Certificate</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html">Grid_Certificate</a> &y)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Copy constructor. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="adf9fc5ac7e45f36bc03af31b98b31a72"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::~Grid_Certificate" ref="adf9fc5ac7e45f36bc03af31b98b31a72" args="()" -->
</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#adf9fc5ac7e45f36bc03af31b98b31a72">~Grid_Certificate</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Destructor. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#a869306ea4afb6453b8e9cee36c96f46e">compare</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html">Grid_Certificate</a> &y) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">The comparison function for certificates. <a href="#a869306ea4afb6453b8e9cee36c96f46e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3b727ab728f8758af9fb217eca9d791a"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::compare" ref="a3b727ab728f8758af9fb217eca9d791a" args="(const Grid &gr) const " -->
int </td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html#a3b727ab728f8758af9fb217eca9d791a">compare</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html">Grid</a> &gr) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Compares <code>*this</code> with the certificate for grid <code>gr</code>. <br/></td></tr>
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<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>The convergence certificate for the <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html" title="A grid.">Grid</a> widening operator. </p>
<p>Convergence certificates are used to instantiate the BHZ03 framework so as to define widening operators for the finite powerset domain.</p>
<dl class="note"><dt><b>Note:</b></dt><dd>Each convergence certificate has to be used together with a compatible widening operator. In particular, <a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html" title="The convergence certificate for the Grid widening operator.">Grid_Certificate</a> can certify the <a class="el" href="classParma__Polyhedra__Library_1_1Grid.html" title="A grid.">Grid</a> widening. </dd></dl>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a869306ea4afb6453b8e9cee36c96f46e"></a><!-- doxytag: member="Parma_Polyhedra_Library::Grid_Certificate::compare" ref="a869306ea4afb6453b8e9cee36c96f46e" args="(const Grid_Certificate &y) const " -->
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<td class="memname">int Parma_Polyhedra_Library::Grid_Certificate::compare </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Grid__Certificate.html">Grid_Certificate</a> & </td>
<td class="paramname"> <em>y</em></td>
<td> ) </td>
<td> const</td>
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<p>The comparison function for certificates. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd><img class="formulaInl" alt="$-1$" src="form_143.png"/>, <img class="formulaInl" alt="$0$" src="form_400.png"/> or <img class="formulaInl" alt="$1$" src="form_488.png"/> depending on whether <code>*this</code> is smaller than, equal to, or greater than <code>y</code>, respectively. </dd></dl>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>ppl.hh</li>
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