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<div id="projectname">CVC3 <span id="projectnumber">2.4.1</span></div>
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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_1TheoryArithNew.html">TheoryArithNew</a> </li>
<li class="navelem"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> </li>
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<a href="#pub-methods">Public Member Functions</a> |
<a href="#pub-static-attribs">Static Public Attributes</a> |
<a href="#pro-types">Protected Types</a> |
<a href="#pro-methods">Protected Member Functions</a> |
<a href="#pro-attribs">Protected Attributes</a> </div>
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<div class="title">CVC3::TheoryArithNew::EpsRational Class Reference</div> </div>
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<!-- doxytag: class="CVC3::TheoryArithNew::EpsRational" -->
<p><code>#include <<a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>></code></p>
<p><a href="classCVC3_1_1TheoryArithNew_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_1TheoryArithNew_1_1EpsRational.html#ae2cb5d8961f532736e96dc5e79528d3d">isRational</a> () const
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#aaf6f23e935bf1fbdd8de33e2bc5d0ce0">isInteger</a> () const
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3c1a3c57ad5a40cd979c5f1ae131d108">getFloor</a> () const
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a163b1f3f3e3fa7fb04ad621063c753df">getRational</a> () const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a51870fa96815f68dc8e75ad031566b58">EpsRational</a> ()
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a40886ef4e4202cb03cb5f219e290ab83">EpsRational</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r)
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a00588c52341fd0c492492e429f1c351e">EpsRational</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3b7a3f391fc48b20d130cd995920774f">q</a>)
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a9885b5fde8018d1fb8dc8ea708bc02d5">EpsRational</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3b7a3f391fc48b20d130cd995920774f">q</a>, const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a5f3ebb43a7806ac855f6676f23521f34">k</a>)
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a926ca2ef08d2a367dc29df415768228b">operator+</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a45d50abcce56e98844b1971d57364cda">operator+=</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r)
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#acd0fb95e60277525829fe536769a7da7">operator-</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a5a142bf7c929c8fab3d7588cd2ba3bf4">operator*</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &a) const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#af95d5297b670765dea3e3f236a6c264b">operator/</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &a) const
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a2bf83f3564619a05548f912b2b664a6b">operator==</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#ac7cf325c58d481b6e95e209ce889fde8">operator<=</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#abbd3c79ae53f49ea1afaf1df469e99f8">operator<</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#abaf5bacb79a2488211619952ae64e5fc">operator></a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &r) const
<li>std::string <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#ab0d611d32ebcc656770b85da811e02cd">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_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#ad99ca04b28c17f2d294173861ee89a26">PlusInfinity</a>
<li>static const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#aa1fcdb8f16c42398b6c7364c3f69d295">MinusInfinity</a>
<li>static const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a0a2d8a9aa8a24a0bdd2fc5d100d76da5">Zero</a>
</ul>
<h2><a name="pro-types"></a>
Protected Types</h2>
<ul>
<li>enum <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">RationalType</a> { <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17a578decd93f386b9d6f92bc7979109b19">FINITE</a>,
<a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17ab5aa9438714402b01efb70160988ba73">PLUS_INFINITY</a>,
<a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17a3c3af8aff3249749ee05a6c76f5c0cab">MINUS_INFINITY</a>
}
</ul>
<h2><a name="pro-methods"></a>
Protected Member Functions</h2>
<ul>
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#aa403054428c31e895bfe2b3994434cba">EpsRational</a> (<a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a2f9dc6730d352be05039d15fe4465cec">type</a>)
</ul>
<h2><a name="pro-attribs"></a>
Protected Attributes</h2>
<ul>
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a2f9dc6730d352be05039d15fe4465cec">type</a>
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3b7a3f391fc48b20d130cd995920774f">q</a>
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a5f3ebb43a7806ac855f6676f23521f34">k</a>
</ul>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p><a class="el" href="classCVC3_1_1TheoryArithNew_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__new_8h_source.html#l00277">277</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
</div><hr/><h2>Member Enumeration Documentation</h2>
<a class="anchor" id="a3e6dee0c23408663cd2255ae8f126b17"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::RationalType" ref="a3e6dee0c23408663cd2255ae8f126b17" args="" -->
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<td class="memname">enum <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">CVC3::TheoryArithNew::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="a3e6dee0c23408663cd2255ae8f126b17a578decd93f386b9d6f92bc7979109b19"></a><!-- doxytag: member="FINITE" ref="a3e6dee0c23408663cd2255ae8f126b17a578decd93f386b9d6f92bc7979109b19" args="" -->FINITE</em> </td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a3e6dee0c23408663cd2255ae8f126b17ab5aa9438714402b01efb70160988ba73"></a><!-- doxytag: member="PLUS_INFINITY" ref="a3e6dee0c23408663cd2255ae8f126b17ab5aa9438714402b01efb70160988ba73" args="" -->PLUS_INFINITY</em> </td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a3e6dee0c23408663cd2255ae8f126b17a3c3af8aff3249749ee05a6c76f5c0cab"></a><!-- doxytag: member="MINUS_INFINITY" ref="a3e6dee0c23408663cd2255ae8f126b17a3c3af8aff3249749ee05a6c76f5c0cab" args="" -->MINUS_INFINITY</em> </td><td>
</td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00282">282</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
</div>
</div>
<hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="aa403054428c31e895bfe2b3994434cba"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::EpsRational" ref="aa403054428c31e895bfe2b3994434cba" args="(RationalType type)" -->
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<td class="memname">CVC3::TheoryArithNew::EpsRational::EpsRational </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">RationalType</a> </td>
<td class="paramname"><em>type</em></td><td>)</td>
<td><code> [inline, protected]</code></td>
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<p>Private constructor to construt infinities. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00296">296</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="a51870fa96815f68dc8e75ad031566b58"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::EpsRational" ref="a51870fa96815f68dc8e75ad031566b58" args="()" -->
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<td class="memname">CVC3::TheoryArithNew::EpsRational::EpsRational </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td><code> [inline]</code></td>
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<p>The blank constructor </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00351">351</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00415">operator*()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00378">operator+()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00403">operator-()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00426">operator/()</a>.</p>
</div>
</div>
<a class="anchor" id="a40886ef4e4202cb03cb5f219e290ab83"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::EpsRational" ref="a40886ef4e4202cb03cb5f219e290ab83" args="(const EpsRational &r)" -->
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<td class="memname">CVC3::TheoryArithNew::EpsRational::EpsRational </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td><code> [inline]</code></td>
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<p>Copy constructor </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00354">354</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="a00588c52341fd0c492492e429f1c351e"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::EpsRational" ref="a00588c52341fd0c492492e429f1c351e" args="(const Rational q)" -->
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<td class="memname">CVC3::TheoryArithNew::EpsRational::EpsRational </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> </td>
<td class="paramname"><em>q</em></td><td>)</td>
<td><code> [inline]</code></td>
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<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__new_8h_source.html#l00361">361</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="a9885b5fde8018d1fb8dc8ea708bc02d5"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::EpsRational" ref="a9885b5fde8018d1fb8dc8ea708bc02d5" args="(const Rational q, const Rational k)" -->
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<td class="memname">CVC3::TheoryArithNew::EpsRational::EpsRational </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> </td>
<td class="paramname"><em>q</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> </td>
<td class="paramname"><em>k</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
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<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__new_8h_source.html#l00370">370</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="ae2cb5d8961f532736e96dc5e79528d3d"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::isRational" ref="ae2cb5d8961f532736e96dc5e79528d3d" args="() const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::isRational </td>
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<td class="paramname"></td><td>)</td>
<td> const<code> [inline]</code></td>
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<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__new_8h_source.html#l00305">305</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>.</p>
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<a class="anchor" id="aaf6f23e935bf1fbdd8de33e2bc5d0ce0"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::isInteger" ref="aaf6f23e935bf1fbdd8de33e2bc5d0ce0" args="() const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::isInteger </td>
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<td class="paramname"></td><td>)</td>
<td> const<code> [inline]</code></td>
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<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__new_8h_source.html#l00312">312</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02868">CVC3::TheoryArithNew::checkSatInteger()</a>.</p>
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<a class="anchor" id="a3c1a3c57ad5a40cd979c5f1ae131d108"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::getFloor" ref="a3c1a3c57ad5a40cd979c5f1ae131d108" args="() const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> CVC3::TheoryArithNew::EpsRational::getFloor </td>
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<td class="paramname"></td><td>)</td>
<td> const<code> [inline]</code></td>
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<p>Returns the floor of the number <img class="formulaInl" alt="$x = q + k \epsilon$" src="form_283.png"/> using the following formula </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \lfloor \beta(x) \rfloor = \left\{ \begin{tabular}{ll} $\lfloor q \rfloor$ & $\mathrm{if\ } q \notin Z$\\ $q$ & $\mathrm{if\ } q \in Z \mathrm{\ and\ } k \geq 0$\\ $q - 1$ & $\mathrm{if\ } q \in Z \mathrm{\ and\ } k < 0$ \end{tabular}\right. \]" src="form_284.png"/>
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<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00325">325</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02868">CVC3::TheoryArithNew::checkSatInteger()</a>.</p>
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<a class="anchor" id="a163b1f3f3e3fa7fb04ad621063c753df"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::getRational" ref="a163b1f3f3e3fa7fb04ad621063c753df" args="() const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> CVC3::TheoryArithNew::EpsRational::getRational </td>
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<td class="paramname"></td><td>)</td>
<td> const<code> [inline]</code></td>
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<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__new_8h_source.html#l00340">340</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l04105">CVC3::TheoryArithNew::deriveGomoryCut()</a>.</p>
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<a class="anchor" id="a926ca2ef08d2a367dc29df415768228b"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator+" ref="a926ca2ef08d2a367dc29df415768228b" args="(const EpsRational &r) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithNew::EpsRational::operator+ </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td> const<code> [inline]</code></td>
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<p>Addition operator for two <a class="el" href="classCVC3_1_1TheoryArithNew_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__new_8h_source.html#l00378">378</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00351">EpsRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="a45d50abcce56e98844b1971d57364cda"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator+=" ref="a45d50abcce56e98844b1971d57364cda" args="(const EpsRational &r)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a>& CVC3::TheoryArithNew::EpsRational::operator+= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td><code> [inline]</code></td>
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<p>Addition operator for two <a class="el" href="classCVC3_1_1TheoryArithNew_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__new_8h_source.html#l00390">390</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="acd0fb95e60277525829fe536769a7da7"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator-" ref="acd0fb95e60277525829fe536769a7da7" args="(const EpsRational &r) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithNew::EpsRational::operator- </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td> const<code> [inline]</code></td>
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<p>Subtraction operator for two <a class="el" href="classCVC3_1_1TheoryArithNew_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__new_8h_source.html#l00403">403</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00351">EpsRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="a5a142bf7c929c8fab3d7588cd2ba3bf4"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator*" ref="a5a142bf7c929c8fab3d7588cd2ba3bf4" args="(const Rational &a) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithNew::EpsRational::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> & </td>
<td class="paramname"><em>a</em></td><td>)</td>
<td> const<code> [inline]</code></td>
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<p>Multiplication operator <a class="el" href="classCVC3_1_1TheoryArithNew_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__new_8h_source.html#l00415">415</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00351">EpsRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="af95d5297b670765dea3e3f236a6c264b"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator/" ref="af95d5297b670765dea3e3f236a6c264b" args="(const Rational &a) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> CVC3::TheoryArithNew::EpsRational::operator/ </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> & </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_1TheoryArithNew_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__new_8h_source.html#l00426">426</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00351">EpsRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="a2bf83f3564619a05548f912b2b664a6b"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator==" ref="a2bf83f3564619a05548f912b2b664a6b" args="(const EpsRational &r) const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::operator== </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td> const<code> [inline]</code></td>
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<p>Equality comparison operator. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00434">434</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>.</p>
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<a class="anchor" id="ac7cf325c58d481b6e95e209ce889fde8"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator<=" ref="ac7cf325c58d481b6e95e209ce889fde8" args="(const EpsRational &r) const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::operator<= </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </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__new_8h_source.html#l00439">439</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">MINUS_INFINITY</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">PLUS_INFINITY</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
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<a class="anchor" id="abbd3c79ae53f49ea1afaf1df469e99f8"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator<" ref="abbd3c79ae53f49ea1afaf1df469e99f8" args="(const EpsRational &r) const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::operator< </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </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__new_8h_source.html#l00464">464</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="abaf5bacb79a2488211619952ae64e5fc"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::operator>" ref="abaf5bacb79a2488211619952ae64e5fc" args="(const EpsRational &r) const " -->
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<td class="memname">bool CVC3::TheoryArithNew::EpsRational::operator> </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </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__new_8h_source.html#l00469">469</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="ab0d611d32ebcc656770b85da811e02cd"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::toString" ref="ab0d611d32ebcc656770b85da811e02cd" args="() const " -->
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<td class="memname">std::string CVC3::TheoryArithNew::EpsRational::toString </td>
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<td> const<code> [inline]</code></td>
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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__new_8h_source.html#l00476">476</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">FINITE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00291">k</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">MINUS_INFINITY</a>, <a class="el" href="theory__arith__new_8h_source.html#l00282">PLUS_INFINITY</a>, <a class="el" href="theory__arith__new_8h_source.html#l00288">q</a>, <a class="el" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">CVC3::Rational::toString()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00285">type</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">CVC3::TheoryArithNew::assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">CVC3::TheoryArithNew::assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">CVC3::TheoryArithNew::boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">CVC3::TheoryArithNew::pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l04000">CVC3::TheoryArithNew::propagateTheory()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02628">CVC3::TheoryArithNew::update()</a>.</p>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a2f9dc6730d352be05039d15fe4465cec"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::type" ref="a2f9dc6730d352be05039d15fe4465cec" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3e6dee0c23408663cd2255ae8f126b17">RationalType</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a2f9dc6730d352be05039d15fe4465cec">CVC3::TheoryArithNew::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__new_8h_source.html#l00285">285</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00415">operator*()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00378">operator+()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00390">operator+=()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00403">operator-()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00426">operator/()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00439">operator<=()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00476">toString()</a>.</p>
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<a class="anchor" id="a3b7a3f391fc48b20d130cd995920774f"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::q" ref="a3b7a3f391fc48b20d130cd995920774f" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a3b7a3f391fc48b20d130cd995920774f">CVC3::TheoryArithNew::EpsRational::q</a><code> [protected]</code></td>
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<p>The rational part </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00288">288</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00325">getFloor()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00340">getRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00312">isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00415">operator*()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00378">operator+()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00390">operator+=()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00403">operator-()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00426">operator/()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00439">operator<=()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00434">operator==()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00476">toString()</a>.</p>
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<a class="anchor" id="a5f3ebb43a7806ac855f6676f23521f34"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::k" ref="a5f3ebb43a7806ac855f6676f23521f34" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a5f3ebb43a7806ac855f6676f23521f34">CVC3::TheoryArithNew::EpsRational::k</a><code> [protected]</code></td>
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<p>The epsilon multiplier </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00291">291</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00325">getFloor()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00312">isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00305">isRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00415">operator*()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00378">operator+()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00390">operator+=()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00403">operator-()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00426">operator/()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00439">operator<=()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00434">operator==()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00476">toString()</a>.</p>
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<a class="anchor" id="ad99ca04b28c17f2d294173861ee89a26"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::PlusInfinity" ref="ad99ca04b28c17f2d294173861ee89a26" args="" -->
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<td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#ad99ca04b28c17f2d294173861ee89a26">TheoryArithNew::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__new_8h_source.html#l00343">343</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03090">CVC3::TheoryArithNew::getUpperBound()</a>.</p>
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<a class="anchor" id="aa1fcdb8f16c42398b6c7364c3f69d295"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::MinusInfinity" ref="aa1fcdb8f16c42398b6c7364c3f69d295" args="" -->
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<td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#aa1fcdb8f16c42398b6c7364c3f69d295">TheoryArithNew::EpsRational::MinusInfinity</a><code> [static]</code></td>
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<p>The negative infinity constant </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00345">345</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03082">CVC3::TheoryArithNew::getLowerBound()</a>.</p>
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<a class="anchor" id="a0a2d8a9aa8a24a0bdd2fc5d100d76da5"></a><!-- doxytag: member="CVC3::TheoryArithNew::EpsRational::Zero" ref="a0a2d8a9aa8a24a0bdd2fc5d100d76da5" args="" -->
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<td class="memname">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html#a0a2d8a9aa8a24a0bdd2fc5d100d76da5">TheoryArithNew::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__new_8h_source.html#l00347">347</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03117">CVC3::TheoryArithNew::getBeta()</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a></li>
<li><a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a></li>
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