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<title>CVC3: CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational Class Reference</title>
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      <li class="navelem"><a class="el" href="namespaceCVC3.html">CVC3</a>      </li>
      <li class="navelem"><a class="el" href="classCVC3_1_1TheoryArithOld.html">TheoryArithOld</a>      </li>
      <li class="navelem"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph.html">DifferenceLogicGraph</a>      </li>
      <li class="navelem"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>      </li>
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<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="#pub-static-attribs">Static Public Attributes</a> &#124;
<a href="#pro-types">Protected Types</a> &#124;
<a href="#pro-methods">Protected Member Functions</a> &#124;
<a href="#pro-attribs">Protected Attributes</a>  </div>
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<div class="title">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational Class Reference</div>  </div>
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<!-- doxytag: class="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational" -->
<p><code>#include &lt;<a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>&gt;</code></p>

<p><a href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational-members.html">List of all members.</a></p>
<h2><a name="pub-methods"></a>
Public Member Functions</h2>
<ul>
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2ea79c3dbd9dea07a508a86fbc9765eb">isFinite</a> () const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a71939f44b6d1eb7d222e156247d03960">isRational</a> () const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aec7b157edba8fe5e836612a6ad8e172c">isInteger</a> () const 
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a55f41fc5860343b40b281cd09eac04fd">getFloor</a> () const 
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2671721c731f2cb89597309d8f29c126">getRational</a> () const 
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab55123f8c208dfa60371d03214b49f5b">getEpsilon</a> () const 
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab8f5740e7c716878bdaa24431fbda7f0">EpsRational</a> ()
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ad0858791e56bb14856166b4411e14e74">EpsRational</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r)
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a9921b126c93470b0b18d1ffcd0acb33b">EpsRational</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>)
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa83e886379c54a2863424e12a43af2d3">EpsRational</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>, const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>)
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#af53abe1350e18dbcecc8e3c229e446af">operator+</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp; <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a92b8fab3da6185c869f2855ae7cbbe22">operator+=</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r)
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abee1a63a51553904910401f29e1f0191">operator-</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aeb1573d79d6de3ed029d1f0c14e029d6">operator-</a> ()
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab15673fa29db64d9f1c65183d4aacf25">operator*</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;a) const 
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abe61a27081bbd13e06137ec89a5ef6a0">operator/</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;a) const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa98afb0b7a7b93880ddcba67d27d6d25">operator==</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ab640ed0967cd2f77be917eaeb956397c">operator&lt;=</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a46d7f98e8e46cc830f0c203dc2a8203b">operator&lt;</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li>bool <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a2b5bb6577fc2666a1d86ae0b952f86b0">operator&gt;</a> (const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;r) const 
<li>std::string <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a1110ac3ff3fb7eaf983fee4eaf55ca1a">toString</a> () const 
</ul>
<h2><a name="pub-static-attribs"></a>
Static Public Attributes</h2>
<ul>
<li>static const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a3d192df722ff4601388f73a86d6e5688">PlusInfinity</a>
<li>static const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ac14d641b6833b74bbfe14590b596b713">MinusInfinity</a>
<li>static const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ae1ce8777ef94c7efa4d2b5962ccb2743">Zero</a>
</ul>
<h2><a name="pro-types"></a>
Protected Types</h2>
<ul>
<li>enum <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> { <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858">FINITE</a>, 
<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217">PLUS_INFINITY</a>, 
<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157">MINUS_INFINITY</a>
 }
</ul>
<h2><a name="pro-methods"></a>
Protected Member Functions</h2>
<ul>
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#abdaddd8c6b8cbd64f45bcb224bb9121f">EpsRational</a> (<a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>)
</ul>
<h2><a name="pro-attribs"></a>
Protected Attributes</h2>
<ul>
<li><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">type</a>
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">q</a>
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">k</a>
</ul>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> class ecapsulates the rationals with a symbolic small <img class="formulaInl" alt="$\epsilon$" src="form_262.png"/> added. Each rational number is presented as a pair <img class="formulaInl" alt="$(q, k) = q + k\epsilon$" src="form_263.png"/>, where <img class="formulaInl" alt="$\epsilon$" src="form_262.png"/> is treated symbolically. The operations on the new rationals are defined as </p>
<ul>
<li>
<img class="formulaInl" alt="$(q_1, k_1) + (q_2, k_2) \equiv (q_1 + q_2, k_1 + k_2)$" src="form_264.png"/> </li>
<li>
<img class="formulaInl" alt="$a \times (q, k) \equiv (a \times q, a \times k)$" src="form_265.png"/> </li>
<li>
<img class="formulaInl" alt="$(q_1, k_1) \leq (q_2, k_2) \equiv (q_1 < q_2) \vee (q_1 = q_2 \wedge k_1 \leq k_2)$" src="form_266.png"/> </li>
</ul>
<p>Note that the operations on the infinite values are not defined, as they are never used currently. Infinities can only be asigned or compared. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00473">473</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>
</div><hr/><h2>Member Enumeration Documentation</h2>
<a class="anchor" id="a7b4bb9732cc1238494e2c695d2604d74"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::RationalType" ref="a7b4bb9732cc1238494e2c695d2604d74" args="" -->
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      <table class="memname">
        <tr>
          <td class="memname">enum <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::RationalType</a><code> [protected]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<p><a class="el" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> of rationals, normal and the two infinities </p>
<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><em><a class="anchor" id="a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858"></a><!-- doxytag: member="FINITE" ref="a7b4bb9732cc1238494e2c695d2604d74abda7e127ed5d0e69e640cf2a0e8d5858" args="" -->FINITE</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217"></a><!-- doxytag: member="PLUS_INFINITY" ref="a7b4bb9732cc1238494e2c695d2604d74a5635f96de4ed27208b064451e41de217" args="" -->PLUS_INFINITY</em>&nbsp;</td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157"></a><!-- doxytag: member="MINUS_INFINITY" ref="a7b4bb9732cc1238494e2c695d2604d74a4eacb58629f24f0d9fff053b4e59b157" args="" -->MINUS_INFINITY</em>&nbsp;</td><td>
</td></tr>
</table>
</dd>
</dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00478">478</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

</div>
</div>
<hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="abdaddd8c6b8cbd64f45bcb224bb9121f"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational" ref="abdaddd8c6b8cbd64f45bcb224bb9121f" args="(RationalType type)" -->
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          <td class="memname">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a>&#160;</td>
          <td class="paramname"><em>type</em></td><td>)</td>
          <td><code> [inline, protected]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>Private constructor to construt infinities. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00492">492</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

</div>
</div>
<a class="anchor" id="ab8f5740e7c716878bdaa24431fbda7f0"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational" ref="ab8f5740e7c716878bdaa24431fbda7f0" args="()" -->
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          <td class="memname">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<p>The blank constructor </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00559">559</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8h_source.html#l00634">operator*()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00586">operator+()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00611">operator-()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00645">operator/()</a>.</p>

</div>
</div>
<a class="anchor" id="ad0858791e56bb14856166b4411e14e74"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational" ref="ad0858791e56bb14856166b4411e14e74" args="(const EpsRational &amp;r)" -->
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          <td class="memname">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td><code> [inline]</code></td>
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<div class="memdoc">
<p>Copy constructor </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00562">562</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

</div>
</div>
<a class="anchor" id="a9921b126c93470b0b18d1ffcd0acb33b"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational" ref="a9921b126c93470b0b18d1ffcd0acb33b" args="(const Rational &amp;q)" -->
<div class="memitem">
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          <td class="memname">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;&#160;</td>
          <td class="paramname"><em>q</em></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
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<div class="memdoc">
<p>Constructor from a rational, constructs a new pair (q, 0).</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">q</td><td>the rational </td></tr>
  </table>
  </dd>
</dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00569">569</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

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<a class="anchor" id="aa83e886379c54a2863424e12a43af2d3"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational" ref="aa83e886379c54a2863424e12a43af2d3" args="(const Rational &amp;q, const Rational &amp;k)" -->
<div class="memitem">
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          <td class="memname">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::EpsRational </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;&#160;</td>
          <td class="paramname"><em>q</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;&#160;</td>
          <td class="paramname"><em>k</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>Constructor from a rational and a given epsilon multiplier, constructs a new pair (q, k).</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">q</td><td>the rational </td></tr>
    <tr><td class="paramname">k</td><td>the epsilon multiplier </td></tr>
  </table>
  </dd>
</dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00578">578</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

</div>
</div>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a2ea79c3dbd9dea07a508a86fbc9765eb"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isFinite" ref="a2ea79c3dbd9dea07a508a86fbc9765eb" args="() const " -->
<div class="memitem">
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isFinite </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<p>Returns if the numbe is finite. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00499">499</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l05535">CVC3::TheoryArithOld::computeTermBounds()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05463">CVC3::TheoryArithOld::getLowerBound()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05391">CVC3::TheoryArithOld::getUpperBound()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00926">CVC3::TheoryArithOld::hasLowerBound()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00927">CVC3::TheoryArithOld::hasUpperBound()</a>.</p>

</div>
</div>
<a class="anchor" id="a71939f44b6d1eb7d222e156247d03960"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isRational" ref="a71939f44b6d1eb7d222e156247d03960" args="() const " -->
<div class="memitem">
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isRational </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<p>Returns if the number is a plain rational.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>true if rational, false otherwise </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00506">506</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>.</p>

</div>
</div>
<a class="anchor" id="aec7b157edba8fe5e836612a6ad8e172c"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isInteger" ref="aec7b157edba8fe5e836612a6ad8e172c" args="() const " -->
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::isInteger </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>Returns if the number is a plain integer.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>true if rational, false otherwise </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00513">513</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l04927">CVC3::TheoryArithOld::DifferenceLogicGraph::tryUpdate()</a>.</p>

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<a class="anchor" id="a55f41fc5860343b40b281cd09eac04fd"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getFloor" ref="a55f41fc5860343b40b281cd09eac04fd" args="() const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getFloor </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<p>Returns the floor of the number <img class="formulaInl" alt="$x = q + k \epsilon$" src="form_283.png"/> using the following fomula </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \lfloor \beta(x) \rfloor = \begin{cases} \lfloor q \rfloor &amp; \text{ if } q \notin Z\\ q &amp; \text{ if } q \in Z \text{ and } k \geq 0\\ q - 1 &amp; \text{ if } q \in Z \text{ and } k < 0 \end{cases} \]" src="form_285.png"/>
</p>
 
<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00526">526</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>.</p>

</div>
</div>
<a class="anchor" id="a2671721c731f2cb89597309d8f29c126"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getRational" ref="a2671721c731f2cb89597309d8f29c126" args="() const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getRational </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>Returns the rational part of the number</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>the rational </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00541">541</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l04788">CVC3::TheoryArithOld::DifferenceLogicGraph::addEdge()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05150">CVC3::TheoryArithOld::DifferenceLogicGraph::getValuation()</a>, and <a class="el" href="theory__arith__old_8cpp_source.html#l04927">CVC3::TheoryArithOld::DifferenceLogicGraph::tryUpdate()</a>.</p>

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</div>
<a class="anchor" id="ab55123f8c208dfa60371d03214b49f5b"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getEpsilon" ref="ab55123f8c208dfa60371d03214b49f5b" args="() const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::getEpsilon </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
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<div class="memdoc">
<p>Returns the epsilon part of the number</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>the epsilon </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00548">548</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l04788">CVC3::TheoryArithOld::DifferenceLogicGraph::addEdge()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05150">CVC3::TheoryArithOld::DifferenceLogicGraph::getValuation()</a>, and <a class="el" href="theory__arith__old_8cpp_source.html#l04927">CVC3::TheoryArithOld::DifferenceLogicGraph::tryUpdate()</a>.</p>

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<a class="anchor" id="af53abe1350e18dbcecc8e3c229e446af"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator+" ref="af53abe1350e18dbcecc8e3c229e446af" args="(const EpsRational &amp;r) const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator+ </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<p>Addition operator for two <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> numbers.</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">r</td><td>the number to be added </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the sum as defined in the class </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00586">586</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00559">EpsRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="a92b8fab3da6185c869f2855ae7cbbe22"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator+=" ref="a92b8fab3da6185c869f2855ae7cbbe22" args="(const EpsRational &amp;r)" -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a>&amp; CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator+= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
      </table>
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<p>Addition operator for two <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> numbers.</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">r</td><td>the number to be added </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the sum as defined in the class </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00598">598</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="abee1a63a51553904910401f29e1f0191"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&#45;" ref="abee1a63a51553904910401f29e1f0191" args="(const EpsRational &amp;r) const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator- </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<p>Subtraction operator for two <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> numbers.</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">r</td><td>the number to be added </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the sum as defined in the class </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00611">611</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00559">EpsRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="aeb1573d79d6de3ed029d1f0c14e029d6"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&#45;" ref="aeb1573d79d6de3ed029d1f0c14e029d6" args="()" -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator- </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td><code> [inline]</code></td>
        </tr>
      </table>
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<p>Unary minus operator </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00620">620</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="ab15673fa29db64d9f1c65183d4aacf25"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator*" ref="ab15673fa29db64d9f1c65183d4aacf25" args="(const Rational &amp;a) const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator* </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;&#160;</td>
          <td class="paramname"><em>a</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<p>Multiplication operator <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> number and a rational number.</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">a</td><td>the number to be multiplied </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the product as defined in the class </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00634">634</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00559">EpsRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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</div>
<a class="anchor" id="abe61a27081bbd13e06137ec89a5ef6a0"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator/" ref="abe61a27081bbd13e06137ec89a5ef6a0" args="(const Rational &amp;a) const " -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator/ </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &amp;&#160;</td>
          <td class="paramname"><em>a</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
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<p>Division operator <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> number and a rational number.</p>
<dl><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramname">a</td><td>the number to be multiplied </td></tr>
  </table>
  </dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the product as defined in the class </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00645">645</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00559">EpsRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="aa98afb0b7a7b93880ddcba67d27d6d25"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator==" ref="aa98afb0b7a7b93880ddcba67d27d6d25" args="(const EpsRational &amp;r) const " -->
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator== </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>Equality comparison operator. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00653">653</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>.</p>

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<a class="anchor" id="ab640ed0967cd2f77be917eaeb956397c"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&lt;=" ref="ab640ed0967cd2f77be917eaeb956397c" args="(const EpsRational &amp;r) const " -->
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&lt;= </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
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<p>Less than or equal comparison operator. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00658">658</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">MINUS_INFINITY</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">PLUS_INFINITY</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

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<a class="anchor" id="a46d7f98e8e46cc830f0c203dc2a8203b"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&lt;" ref="a46d7f98e8e46cc830f0c203dc2a8203b" args="(const EpsRational &amp;r) const " -->
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&lt; </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
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<p>Less than comparison operator. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00683">683</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

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<a class="anchor" id="a2b5bb6577fc2666a1d86ae0b952f86b0"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&gt;" ref="a2b5bb6577fc2666a1d86ae0b952f86b0" args="(const EpsRational &amp;r) const " -->
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          <td class="memname">bool CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::operator&gt; </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">EpsRational</a> &amp;&#160;</td>
          <td class="paramname"><em>r</em></td><td>)</td>
          <td> const<code> [inline]</code></td>
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<p>Greater than comparison operator. </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00688">688</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

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<a class="anchor" id="a1110ac3ff3fb7eaf983fee4eaf55ca1a"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::toString" ref="a1110ac3ff3fb7eaf983fee4eaf55ca1a" args="() const " -->
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          <td class="memname">std::string CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::toString </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [inline]</code></td>
        </tr>
      </table>
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<p>Returns the string representation of the number.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>the string representation of the number </dd></dl>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00695">695</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>References <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">FINITE</a>, <a class="el" href="theory__arith__old_8h_source.html#l00487">k</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">MINUS_INFINITY</a>, <a class="el" href="theory__arith__old_8h_source.html#l00478">PLUS_INFINITY</a>, <a class="el" href="theory__arith__old_8h_source.html#l00484">q</a>, <a class="el" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">CVC3::Rational::toString()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00481">type</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l04888">CVC3::TheoryArithOld::DifferenceLogicGraph::getEdgeTheorems()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05463">CVC3::TheoryArithOld::getLowerBound()</a>, <a class="el" href="theory__arith__old_8cpp_source.html#l05391">CVC3::TheoryArithOld::getUpperBound()</a>, and <a class="el" href="theory__arith__old_8cpp_source.html#l04927">CVC3::TheoryArithOld::DifferenceLogicGraph::tryUpdate()</a>.</p>

</div>
</div>
<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a81035cdf522e4137f99009fba8cb83b7"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::type" ref="a81035cdf522e4137f99009fba8cb83b7" args="" -->
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          <td class="memname"><a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a7b4bb9732cc1238494e2c695d2604d74">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a81035cdf522e4137f99009fba8cb83b7">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::type</a><code> [protected]</code></td>
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<p>The type of this rational </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00481">481</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8h_source.html#l00499">isFinite()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00634">operator*()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00586">operator+()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00598">operator+=()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00611">operator-()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00645">operator/()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00658">operator&lt;=()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00695">toString()</a>.</p>

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<a class="anchor" id="a6715d83cae6edc671e535bfb3d077e02"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::q" ref="a6715d83cae6edc671e535bfb3d077e02" args="" -->
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          <td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a6715d83cae6edc671e535bfb3d077e02">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::q</a><code> [protected]</code></td>
        </tr>
      </table>
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<div class="memdoc">
<p>The rational part </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00484">484</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8h_source.html#l00526">getFloor()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00541">getRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00513">isInteger()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00634">operator*()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00586">operator+()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00598">operator+=()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00611">operator-()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00645">operator/()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00658">operator&lt;=()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00653">operator==()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00695">toString()</a>.</p>

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<a class="anchor" id="aa4a6bafa0b3918c2c2468b9ed504f377"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::k" ref="aa4a6bafa0b3918c2c2468b9ed504f377" args="" -->
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          <td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#aa4a6bafa0b3918c2c2468b9ed504f377">CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::k</a><code> [protected]</code></td>
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<div class="memdoc">
<p>The epsilon multiplier </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00487">487</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8h_source.html#l00548">getEpsilon()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00526">getFloor()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00513">isInteger()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00506">isRational()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00634">operator*()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00586">operator+()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00598">operator+=()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00611">operator-()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00645">operator/()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00658">operator&lt;=()</a>, <a class="el" href="theory__arith__old_8h_source.html#l00653">operator==()</a>, and <a class="el" href="theory__arith__old_8h_source.html#l00695">toString()</a>.</p>

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<a class="anchor" id="a3d192df722ff4601388f73a86d6e5688"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::PlusInfinity" ref="a3d192df722ff4601388f73a86d6e5688" args="" -->
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          <td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">TheoryArithOld::DifferenceLogicGraph::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#a3d192df722ff4601388f73a86d6e5688">TheoryArithOld::DifferenceLogicGraph::EpsRational::PlusInfinity</a><code> [static]</code></td>
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<p>The infinity constant </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00551">551</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l05391">CVC3::TheoryArithOld::getUpperBound()</a>.</p>

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<a class="anchor" id="ac14d641b6833b74bbfe14590b596b713"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::MinusInfinity" ref="ac14d641b6833b74bbfe14590b596b713" args="" -->
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          <td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">TheoryArithOld::DifferenceLogicGraph::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ac14d641b6833b74bbfe14590b596b713">TheoryArithOld::DifferenceLogicGraph::EpsRational::MinusInfinity</a><code> [static]</code></td>
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<div class="memdoc">
<p>The negative infinity constant </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00553">553</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l05535">CVC3::TheoryArithOld::computeTermBounds()</a>, and <a class="el" href="theory__arith__old_8cpp_source.html#l05463">CVC3::TheoryArithOld::getLowerBound()</a>.</p>

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</div>
<a class="anchor" id="ae1ce8777ef94c7efa4d2b5962ccb2743"></a><!-- doxytag: member="CVC3::TheoryArithOld::DifferenceLogicGraph::EpsRational::Zero" ref="ae1ce8777ef94c7efa4d2b5962ccb2743" args="" -->
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          <td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html">TheoryArithOld::DifferenceLogicGraph::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithOld_1_1DifferenceLogicGraph_1_1EpsRational.html#ae1ce8777ef94c7efa4d2b5962ccb2743">TheoryArithOld::DifferenceLogicGraph::EpsRational::Zero</a><code> [static]</code></td>
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<p>The zero constant </p>

<p>Definition at line <a class="el" href="theory__arith__old_8h_source.html#l00555">555</a> of file <a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a>.</p>

<p>Referenced by <a class="el" href="theory__arith__old_8cpp_source.html#l05463">CVC3::TheoryArithOld::getLowerBound()</a>, and <a class="el" href="theory__arith__old_8cpp_source.html#l05391">CVC3::TheoryArithOld::getUpperBound()</a>.</p>

</div>
</div>
<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="theory__arith__old_8h_source.html">theory_arith_old.h</a></li>
<li><a class="el" href="theory__arith__old_8cpp_source.html">theory_arith_old.cpp</a></li>
</ul>
</div>
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