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<li class="navelem"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html">RationalReconstruction</a> </li>
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<a href="#pub-methods">Public Member Functions</a> </div>
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<div class="title">RationalReconstruction< _LiftingContainer, RatRecon > Class Template Reference</div> </div>
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<div class="contents">
<!-- doxytag: class="LinBox::RationalReconstruction" -->
<p>Limited doc so far.
<a href="class_lin_box_1_1_rational_reconstruction.html#details">More...</a></p>
<p><code>#include <rational-reconstruction.h></code></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#af6cdc238c30c9bdb14130e9b28d6c724">RationalReconstruction</a> (const LiftingContainer &lcontainer, const Ring &r=Ring(), int THRESHOLD=DEF_THRESH)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <a href="#af6cdc238c30c9bdb14130e9b28d6c724"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af41368556506d9061e4e1fe97c474483"></a><!-- doxytag: member="LinBox::RationalReconstruction::getContainer" ref="af41368556506d9061e4e1fe97c474483" args="() const " -->
const LiftingContainer & </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#af41368556506d9061e4e1fe97c474483">getContainer</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Get the LiftingContainer. <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#a220e89ff2fc59a6eb17c5a984fa9bafa">getRational</a> (Vector &num, Integer &den, int switcher) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Handler to switch between different rational reconstruction strategy. <a href="#a220e89ff2fc59a6eb17c5a984fa9bafa"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="ac5c6244c59c757d7ce25d3ee4b5e0598"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRational" ref="ac5c6244c59c757d7ce25d3ee4b5e0598" args="(Vector &num, Integer &den) const " -->
template<class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#ac5c6244c59c757d7ce25d3ee4b5e0598">getRational</a> (Vector &num, Integer &den) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">no doc. <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class InVect1 , class InVect2 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Integer & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#a8807d965e5c144a38943efb4439f0731">dot</a> (Integer &d, const InVect1 &v1, const InVect2 &v2) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">No doc. <a href="#a8807d965e5c144a38943efb4439f0731"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#a03927df0049c3eeefae524ed9089929c">getRational1</a> (Vector &num, Integer &den) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Reconstruct a vector of rational numbers from p-adic digit vector sequence. <a href="#a03927df0049c3eeefae524ed9089929c"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#aca51e75c4b9a1a406d07390b92415ce1">getRational2</a> (Vector &num, Integer &den) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Reconstruct a vector of rational numbers from p-adic digit vector sequence. <a href="#aca51e75c4b9a1a406d07390b92415ce1"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class ConstIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#a59a1086944392c755c020834b892a4a7">PolEval</a> (Vector &y, ConstIterator &Pol, size_t deg, Integer &x) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">NO DOC. <a href="#a59a1086944392c755c020834b892a4a7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class Vector1 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#a57771d6cabcbfd5c5ec26329244f2a0e">getRational3</a> (Vector1 &num, Integer &den) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Reconstruct a vector of rational numbers from p-adic digit vector sequence. <a href="#a57771d6cabcbfd5c5ec26329244f2a0e"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="aaea050a1f3c2159bd6575ee3d85c5780"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRationalET" ref="aaea050a1f3c2159bd6575ee3d85c5780" args="(Vector1 &num, Integer &den, const Integer &den_app=1) const " -->
template<class Vector1 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html#aaea050a1f3c2159bd6575ee3d85c5780">getRationalET</a> (Vector1 &num, Integer &den, const Integer &den_app=1) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">early terminated analog of getRational3. <br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template<class _LiftingContainer, class RatRecon = RReconstruction<typename _LiftingContainer::Ring, ClassicMaxQRationalReconstruction<typename _LiftingContainer::Ring> >><br/>
class LinBox::RationalReconstruction< _LiftingContainer, RatRecon ></h3>
<p>Limited doc so far. </p>
<p>Used, for instance, after LiftingContainer. </p>
</div><hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="af6cdc238c30c9bdb14130e9b28d6c724"></a><!-- doxytag: member="LinBox::RationalReconstruction::RationalReconstruction" ref="af6cdc238c30c9bdb14130e9b28d6c724" args="(const LiftingContainer &lcontainer, const Ring &r=Ring(), int THRESHOLD=DEF_THRESH)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="class_lin_box_1_1_rational_reconstruction.html">RationalReconstruction</a> </td>
<td>(</td>
<td class="paramtype">const LiftingContainer & </td>
<td class="paramname"><em>lcontainer</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const Ring & </td>
<td class="paramname"><em>r</em> = <code>Ring()</code>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>THRESHOLD</em> = <code>DEF_THRESH</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Constructor. </p>
<dl class="todo"><dt><b><a class="el" href="todo.html#_todo000006">Todo:</a></b></dt><dd>maybe use different ring than the ring in lcontainer </dd></dl>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">lcontainer</td><td>NO DOC </td></tr>
<tr><td class="paramname">r</td><td>NO DOC </td></tr>
<tr><td class="paramname">THRESHOLD</td><td>NO DOC </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a220e89ff2fc59a6eb17c5a984fa9bafa"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRational" ref="a220e89ff2fc59a6eb17c5a984fa9bafa" args="(Vector &num, Integer &den, int switcher) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">bool getRational </td>
<td>(</td>
<td class="paramtype">Vector & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>switcher</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Handler to switch between different rational reconstruction strategy. </p>
<p>Allow early termination and direct fast method Switch is made by using a threshold as the third argument (default is set to that of constructor THRESHOLD</p>
<ul>
<li><img class="formulaInl" alt="$0$" src="form_13.png"/> -> direct method</li>
<li><img class="formulaInl" alt="$>0$" src="form_14.png"/> -> early termination with</li>
</ul>
</div>
</div>
<a class="anchor" id="a8807d965e5c144a38943efb4439f0731"></a><!-- doxytag: member="LinBox::RationalReconstruction::dot" ref="a8807d965e5c144a38943efb4439f0731" args="(Integer &d, const InVect1 &v1, const InVect2 &v2) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">Integer& dot </td>
<td>(</td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const InVect1 & </td>
<td class="paramname"><em>v1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const InVect2 & </td>
<td class="paramname"><em>v2</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>No doc. </p>
<dl class="todo"><dt><b><a class="el" href="todo.html#_todo000007">Todo:</a></b></dt><dd>WHY a dot product here ? </dd></dl>
</div>
</div>
<a class="anchor" id="a03927df0049c3eeefae524ed9089929c"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRational1" ref="a03927df0049c3eeefae524ed9089929c" args="(Vector &num, Integer &den) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">bool getRational1 </td>
<td>(</td>
<td class="paramtype">Vector & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reconstruct a vector of rational numbers from p-adic digit vector sequence. </p>
<p>An early termination technique is used. Answer is a pair (numerator, common denominator) The trick to reconstruct the rational solution (V. Pan) is implemented. Implement the certificate idea, preprint submitted to ISSAC'05 </p>
</div>
</div>
<a class="anchor" id="aca51e75c4b9a1a406d07390b92415ce1"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRational2" ref="aca51e75c4b9a1a406d07390b92415ce1" args="(Vector &num, Integer &den) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname">bool getRational2 </td>
<td>(</td>
<td class="paramtype">Vector & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reconstruct a vector of rational numbers from p-adic digit vector sequence. </p>
<p>An early termination technique is used. Answer is a vector of pair (num, den)</p>
<dl class="note"><dt><b>Note:</b></dt><dd>this may fail: generically, the probability of failure should be 1/p^n where n is the number of elements being constructed since p is usually quite large this should be ok. </dd></dl>
</div>
</div>
<a class="anchor" id="a59a1086944392c755c020834b892a4a7"></a><!-- doxytag: member="LinBox::RationalReconstruction::PolEval" ref="a59a1086944392c755c020834b892a4a7" args="(Vector &y, ConstIterator &Pol, size_t deg, Integer &x) const " -->
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<td class="memname">void PolEval </td>
<td>(</td>
<td class="paramtype">Vector & </td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ConstIterator & </td>
<td class="paramname"><em>Pol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>deg</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>x</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>NO DOC. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">y</td><td>? </td></tr>
<tr><td class="paramname">Pol</td><td>? </td></tr>
<tr><td class="paramname">deg</td><td>? </td></tr>
<tr><td class="paramname">x</td><td>? </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a class="anchor" id="a57771d6cabcbfd5c5ec26329244f2a0e"></a><!-- doxytag: member="LinBox::RationalReconstruction::getRational3" ref="a57771d6cabcbfd5c5ec26329244f2a0e" args="(Vector1 &num, Integer &den) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool getRational3 </td>
<td>(</td>
<td class="paramtype">Vector1 & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reconstruct a vector of rational numbers from p-adic digit vector sequence. </p>
<p>compute all digits and reconstruct rationals only once Result is a vector of numerators and one common denominator </p>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="rational-reconstruction_8h.html">rational-reconstruction.h</a></li>
</ul>
</div>
<hr class="footer"/><address class="footer"><small>Generated on Tue Aug 30 2011 for linbox by 
<a href="http://www.doxygen.org/index.html">
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