<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <title>linbox: RationalRemainder< RatCRABase > Struct Template Reference</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <link href="doxygen.css" rel="stylesheet" type="text/css"/> </head> <body> <!-- Generated by Doxygen 1.7.4 --> <script type="text/javascript"> function hasClass(ele,cls) { return ele.className.match(new RegExp('(\\s|^)'+cls+'(\\s|$)')); } function addClass(ele,cls) { if (!this.hasClass(ele,cls)) ele.className += " "+cls; } function removeClass(ele,cls) { if (hasClass(ele,cls)) { var reg = new RegExp('(\\s|^)'+cls+'(\\s|$)'); ele.className=ele.className.replace(reg,' '); } } function toggleVisibility(linkObj) { var base = linkObj.getAttribute('id'); var summary = document.getElementById(base + '-summary'); var content = document.getElementById(base + '-content'); var trigger = document.getElementById(base + '-trigger'); if ( hasClass(linkObj,'closed') ) { summary.style.display = 'none'; content.style.display = 'block'; trigger.src = 'open.png'; removeClass(linkObj,'closed'); addClass(linkObj,'opened'); } else if ( hasClass(linkObj,'opened') ) { summary.style.display = 'block'; content.style.display = 'none'; trigger.src = 'closed.png'; removeClass(linkObj,'opened'); addClass(linkObj,'closed'); } return false; } </script> <div id="top"> <div id="titlearea"> <table cellspacing="0" cellpadding="0"> <tbody> <tr style="height: 56px;"> <td style="padding-left: 0.5em;"> <div id="projectname">linbox</div> </td> </tr> </tbody> </table> </div> <div id="navrow1" class="tabs"> <ul class="tablist"> <li><a href="index.html"><span>Main Page</span></a></li> <li><a href="pages.html"><span>Related Pages</span></a></li> <li><a href="modules.html"><span>Modules</span></a></li> <li><a href="namespaces.html"><span>Namespaces</span></a></li> <li class="current"><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="files.html"><span>Files</span></a></li> <li><a href="dirs.html"><span>Directories</span></a></li> <li><a href="examples.html"><span>Examples</span></a></li> </ul> </div> <div id="navrow2" class="tabs2"> <ul class="tablist"> <li><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="hierarchy.html"><span>Class Hierarchy</span></a></li> <li><a href="functions.html"><span>Data Fields</span></a></li> </ul> </div> <div id="nav-path" class="navpath"> <ul> <li class="navelem"><a class="el" href="namespace_lin_box.html">LinBox</a> </li> <li class="navelem"><a class="el" href="struct_lin_box_1_1_rational_remainder.html">RationalRemainder</a> </li> </ul> </div> </div> <div class="header"> <div class="summary"> <a href="#pub-methods">Public Member Functions</a> </div> <div class="headertitle"> <div class="title">RationalRemainder< RatCRABase > Struct Template Reference</div> </div> </div> <div class="contents"> <!-- doxytag: class="LinBox::RationalRemainder" --> <p>Chinese remainder of rationals. <a href="struct_lin_box_1_1_rational_remainder.html#details">More...</a></p> <p><code>#include <rational-cra.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_remainder.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> </table> <hr/><a name="details" id="details"></a><h2>Detailed Description</h2> <div class="textblock"><h3>template<class RatCRABase><br/> struct LinBox::RationalRemainder< RatCRABase ></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::RationalRemainder::operator()" ref="a72c11b22c70b05e536aa8750963eb02f" args="(Integer &num, Integer &den, Function &Iteration, RandPrimeIterator &genprime)" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <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> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">Function & </td> <td class="paramname"><em>Iteration</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">RandPrimeIterator & </td> <td class="paramname"><em>genprime</em> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline]</code></td> </tr> </table> </div> <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> </table> </dd> </dl> </div> </div> <hr/>The documentation for this struct was generated from the following file:<ul> <li>rational-cra.h</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"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address> </body> </html>