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<a href="#pub-methods">Public Member Functions</a> </div>
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<div class="title">RationalRemainder2< RatCRABase, RatRecon > Struct Template Reference</div> </div>
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<p>Chinese remainder of rationals.
<a href="struct_lin_box_1_1_rational_remainder2.html#details">More...</a></p>
<p><code>#include <rational-cra2.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="memTemplParams" colspan="2">template<class Function , class RandPrimeIterator > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Integer & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="struct_lin_box_1_1_rational_remainder2.html#a72c11b22c70b05e536aa8750963eb02f">operator()</a> (Integer &num, Integer &den, Function &Iteration, RandPrimeIterator &genprime)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">The Rational CRA loop. <a href="#a72c11b22c70b05e536aa8750963eb02f"></a><br/></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template<class RatCRABase, class RatRecon = RReconstruction<PID_integer, ClassicMaxQRationalReconstruction<PID_integer> >><br/>
struct LinBox::RationalRemainder2< RatCRABase, RatRecon ></h3>
<p>Chinese remainder of rationals. </p>
<p>Compute the reconstruction of rational numbers Either by Early Termination see [Dumas, Saunder, Villard, JSC 32 (1/2), pp 71-99, 2001], Or via a bound on the size of the Integers. </p>
</div><hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a72c11b22c70b05e536aa8750963eb02f"></a><!-- doxytag: member="LinBox::RationalRemainder2::operator()" ref="a72c11b22c70b05e536aa8750963eb02f" args="(Integer &num, Integer &den, Function &Iteration, RandPrimeIterator &genprime)" -->
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<td class="memname">Integer& operator() </td>
<td>(</td>
<td class="paramtype">Integer & </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>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Function & </td>
<td class="paramname"><em>Iteration</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">RandPrimeIterator & </td>
<td class="paramname"><em>genprime</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
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<div class="memdoc">
<p>The Rational CRA loop. </p>
<p>Given a function to generate residues mod a single prime, this loop produces the residues resulting from the Chinese remainder process on sufficiently many primes to meet the termination condition.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">Iteration</td><td>Function object of two arguments, <code>Iteration(r, p)</code>, given prime <code>p</code> it outputs residue(s) <code>r</code>. This loop may be parallelized. <code>Iteration</code> must be reentrant, thread safe. For example, <code>Iteration</code> may be returning the coefficients of the minimal polynomial of a matrix <code>mod</code> <code>p</code>.</td></tr>
</table>
</dd>
</dl>
<dl class="warning"><dt><b>Warning:</b></dt><dd>We won't detect bad primes.</dd></dl>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir"></td><td class="paramname">genprime</td><td>RandIter object for generating primes. </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">num</td><td>the rational numerator </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">den</td><td>the rational denominator </td></tr>
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</dd>
</dl>
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</div>
<hr/>The documentation for this struct was generated from the following file:<ul>
<li>rational-cra2.h</li>
</ul>
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