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<h1>Parma_Polyhedra_Library::Poly_Con_Relation Class Reference<br/>
<small>
[<a class="el" href="group__PPL__CXX__interface.html">C++ Language Interface</a>]</small>
</h1><!-- doxytag: class="Parma_Polyhedra_Library::Poly_Con_Relation" -->
<p>The relation between a polyhedron and a constraint.  
<a href="#_details">More...</a></p>

<p><code>#include &lt;ppl.hh&gt;</code></p>

<p><a href="classParma__Polyhedra__Library_1_1Poly__Con__Relation-members.html">List of all members.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa4b60ce3ac62aee15faac1b5035fdb4d"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::ascii_dump" ref="aa4b60ce3ac62aee15faac1b5035fdb4d" args="() const " -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#aa4b60ce3ac62aee15faac1b5035fdb4d">ascii_dump</a> () const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Writes to <code>std::cerr</code> an ASCII representation of <code>*this</code>. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab92b75d150bd5fbfc03cadec75d59e0f"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::ascii_dump" ref="ab92b75d150bd5fbfc03cadec75d59e0f" args="(std::ostream &amp;s) const " -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#ab92b75d150bd5fbfc03cadec75d59e0f">ascii_dump</a> (std::ostream &amp;s) const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Writes to <code>s</code> an ASCII representation of <code>*this</code>. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a4cc725a9fe3bdaded2c131bb8bb47ed8"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::print" ref="a4cc725a9fe3bdaded2c131bb8bb47ed8" args="() const " -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a4cc725a9fe3bdaded2c131bb8bb47ed8">print</a> () const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Prints <code>*this</code> to <code>std::cerr</code> using <code>operator&lt;&lt;</code>. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa317e5d2d782c3589c48cb3b45d6790d"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::implies" ref="aa317e5d2d782c3589c48cb3b45d6790d" args="(const Poly_Con_Relation &amp;y) const " -->
bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#aa317e5d2d782c3589c48cb3b45d6790d">implies</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;y) const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">True if and only if <code>*this</code> implies <code>y</code>. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a80b9d602f99df76039d58032b20041d7"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::OK" ref="a80b9d602f99df76039d58032b20041d7" args="() const " -->
bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a80b9d602f99df76039d58032b20041d7">OK</a> () const </td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Checks if all the invariants are satisfied. <br/></td></tr>
<tr><td colspan="2"><h2>Static Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a553ae81ae234cedad36e72b32c967e65"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::nothing" ref="a553ae81ae234cedad36e72b32c967e65" args="()" -->
static <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a553ae81ae234cedad36e72b32c967e65">nothing</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The assertion that says nothing. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a62827195c6aeacf38a8fb3df6df8ff2e"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::is_disjoint" ref="a62827195c6aeacf38a8fb3df6df8ff2e" args="()" -->
static <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a62827195c6aeacf38a8fb3df6df8ff2e">is_disjoint</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The polyhedron and the set of points satisfying the constraint are disjoint. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9f09728ae53c8e3dadeb202f28bb6fdb"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::strictly_intersects" ref="a9f09728ae53c8e3dadeb202f28bb6fdb" args="()" -->
static <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a9f09728ae53c8e3dadeb202f28bb6fdb">strictly_intersects</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The polyhedron intersects the set of points satisfying the constraint, but it is not included in it. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a1dd09c87a931132dbee52ea24266866a"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::is_included" ref="a1dd09c87a931132dbee52ea24266866a" args="()" -->
static <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a1dd09c87a931132dbee52ea24266866a">is_included</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The polyhedron is included in the set of points satisfying the constraint. <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac8b0d22ea3470020b35240f778c34a94"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::saturates" ref="ac8b0d22ea3470020b35240f778c34a94" args="()" -->
static <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#ac8b0d22ea3470020b35240f778c34a94">saturates</a> ()</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The polyhedron is included in the set of points saturating the constraint. <br/></td></tr>
<tr><td colspan="2"><h2>Friends</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#a825bf274e880e1c8d51b42d32c69004e">operator==</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;x, const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;y)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">True if and only if <code>x</code> and <code>y</code> are logically equivalent.  <a href="#a825bf274e880e1c8d51b42d32c69004e"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#af7184f692efc0672e3213f6be9d5cf4c">operator!=</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;x, const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;y)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">True if and only if <code>x</code> and <code>y</code> are not logically equivalent.  <a href="#af7184f692efc0672e3213f6be9d5cf4c"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#ad1bc9d7804925b15f8205df0b3efc8a4">operator&amp;&amp;</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;x, const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;y)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Yields the logical conjunction of <code>x</code> and <code>y</code>.  <a href="#ad1bc9d7804925b15f8205df0b3efc8a4"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#ab9da0d811233cfb64481a7fe08b7f645">operator-</a> (const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;x, const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;y)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Yields the assertion with all the conjuncts of <code>x</code> that are not in <code>y</code>.  <a href="#ab9da0d811233cfb64481a7fe08b7f645"></a><br/></td></tr>
<tr><td colspan="2"><h2>Related Functions</h2></td></tr>
<tr><td colspan="2"><p>(Note that these are not member functions.) </p>
<br/><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html#af00b427f47054a80d236d124443c580c">operator&lt;&lt;</a> (std::ostream &amp;s, const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;r)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Output operator.  <a href="#af00b427f47054a80d236d124443c580c"></a><br/></td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>The relation between a polyhedron and a constraint. </p>
<p>This class implements conjunctions of assertions on the relation between a polyhedron and a constraint. </p>
<hr/><h2>Friends And Related Function Documentation</h2>
<a class="anchor" id="a825bf274e880e1c8d51b42d32c69004e"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::operator==" ref="a825bf274e880e1c8d51b42d32c69004e" args="(const Poly_Con_Relation &amp;x, const Poly_Con_Relation &amp;y)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">bool operator== </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>y</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [friend]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>True if and only if <code>x</code> and <code>y</code> are logically equivalent. </p>

</div>
</div>
<a class="anchor" id="af7184f692efc0672e3213f6be9d5cf4c"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::operator!=" ref="af7184f692efc0672e3213f6be9d5cf4c" args="(const Poly_Con_Relation &amp;x, const Poly_Con_Relation &amp;y)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">bool operator!= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>y</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [friend]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>True if and only if <code>x</code> and <code>y</code> are not logically equivalent. </p>

</div>
</div>
<a class="anchor" id="ad1bc9d7804925b15f8205df0b3efc8a4"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::operator&amp;&amp;" ref="ad1bc9d7804925b15f8205df0b3efc8a4" args="(const Poly_Con_Relation &amp;x, const Poly_Con_Relation &amp;y)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> operator&amp;&amp; </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>y</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [friend]</code></td>
        </tr>
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<div class="memdoc">

<p>Yields the logical conjunction of <code>x</code> and <code>y</code>. </p>

</div>
</div>
<a class="anchor" id="ab9da0d811233cfb64481a7fe08b7f645"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::operator&#45;" ref="ab9da0d811233cfb64481a7fe08b7f645" args="(const Poly_Con_Relation &amp;x, const Poly_Con_Relation &amp;y)" -->
<div class="memitem">
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      <table class="memname">
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          <td class="memname"><a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> operator- </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>y</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [friend]</code></td>
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<div class="memdoc">

<p>Yields the assertion with all the conjuncts of <code>x</code> that are not in <code>y</code>. </p>

</div>
</div>
<a class="anchor" id="af00b427f47054a80d236d124443c580c"></a><!-- doxytag: member="Parma_Polyhedra_Library::Poly_Con_Relation::operator&lt;&lt;" ref="af00b427f47054a80d236d124443c580c" args="(std::ostream &amp;s, const Poly_Con_Relation &amp;r)" -->
<div class="memitem">
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          <td class="memname">std::ostream &amp; operator&lt;&lt; </td>
          <td>(</td>
          <td class="paramtype">std::ostream &amp;&nbsp;</td>
          <td class="paramname"> <em>s</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classParma__Polyhedra__Library_1_1Poly__Con__Relation.html">Poly_Con_Relation</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>r</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Output operator. </p>

</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li>ppl.hh</li>
</ul>
</div>
<hr class="footer"/><address style="text-align: right;"><small>Generated on Sun Feb 27 10:10:57 2011 for PPL by&nbsp;
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.3 </small></address>
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