Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/GAP/pkg/float/doc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 26.7.2025 mit Größe 9 kB image not shown  

Quelle  chap4_mj.html   Sprache: HTML

 
 products/sources/formale Sprachen/GAP/pkg/float/doc/chap4_mj.html


<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
         "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<script type="text/javascript"
  src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
<title>GAP (FLOAT) - Chapter 4: Implemented packages</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chap4"  onload="jscontent()">


<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a>  <a href="chap1_mj.html">1</a>  <a href="chap2_mj.html">2</a>  <a href="chap3_mj.html">3</a>  <a href="chap4_mj.html">4</a>  <a href="chapBib_mj.html">Bib</a>  <a href="chapInd_mj.html">Ind</a>  </div>

<div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a>   <a href="chap0_mj.html#contents">[Contents]</a>    <a href="chap3_mj.html">[Previous Chapter]</a>    <a href="chapBib_mj.html">[Next Chapter]</a>   </div>

<p id="mathjaxlink" class="pcenter"><a href="chap4.html">[MathJax off]</a></p>
<p><a id="X82DC33E982C4D157" name="X82DC33E982C4D157"></a></p>
<div class="ChapSects"><a href="chap4_mj.html#X82DC33E982C4D157">4 <span class="Heading">Implemented packages</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X79E38C3781F79E35">4.1 <span class="Heading">MPFR</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X82B38FFE86A5A0B5">4.1-1 IsMPFRFloat</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X8145D0A97986133C">4.2 <span class="Heading">MPFI</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X842290DB8034BF90">4.2-1 IsMPFIFloat</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X82C3C26F7C11A26F">4.3 <span class="Heading">MPC</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7D7AD4C67FF04E38">4.3-1 IsMPCFloat</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X82DF12317C250153">4.4 <span class="Heading">CXSC</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X794C3A0F7925BDA1">4.4-1 IsCXSCReal</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7CD9EDF079B439BC">4.5 <span class="Heading">FPLLL</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X832DFC257C5C4D32">4.5-1 FPLLLReducedBasis</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X7C759DED84B77805">4.5-2 FPLLLShortestVector</a></span>
</div></div>
</div>

<h3>4 <span class="Heading">Implemented packages</span></h3>

<p><a id="X79E38C3781F79E35" name="X79E38C3781F79E35"></a></p>

<h4>4.1 <span class="Heading">MPFR</span></h4>

<p><a id="X82B38FFE86A5A0B5" name="X82B38FFE86A5A0B5"></a></p>

<h5>4.1-1 IsMPFRFloat</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsMPFRFloat</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_MPFR</code></td><td class="tdright">( global variable )</td></tr></table></div>
<p>The category of floating-point numbers.</p>

<p>Note that they are treated as commutative and scalar, but are not necessarily associative.</p>

<p><a id="X8145D0A97986133C" name="X8145D0A97986133C"></a></p>

<h4>4.2 <span class="Heading">MPFI</span></h4>

<p><a id="X842290DB8034BF90" name="X842290DB8034BF90"></a></p>

<h5>4.2-1 IsMPFIFloat</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsMPFIFloat</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_MPFI</code></td><td class="tdright">( global variable )</td></tr></table></div>
<p>The category of intervals of floating-point numbers.</p>

<p>Note that they are treated as commutative and scalar, but are not necessarily associative.</p>

<p><a id="X82C3C26F7C11A26F" name="X82C3C26F7C11A26F"></a></p>

<h4>4.3 <span class="Heading">MPC</span></h4>

<p><a id="X7D7AD4C67FF04E38" name="X7D7AD4C67FF04E38"></a></p>

<h5>4.3-1 IsMPCFloat</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsMPCFloat</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_MPC</code></td><td class="tdright">( global variable )</td></tr></table></div>
<p>The category of intervals of floating-point numbers.</p>

<p>Note that they are treated as commutative and scalar, but are not necessarily associative.</p>

<p><a id="X82DF12317C250153" name="X82DF12317C250153"></a></p>

<h4>4.4 <span class="Heading">CXSC</span></h4>

<p><a id="X794C3A0F7925BDA1" name="X794C3A0F7925BDA1"></a></p>

<h5>4.4-1 IsCXSCReal</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsCXSCReal</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsCXSCComplex</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsCXSCInterval</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IsCXSCBox</code></td><td class="tdright">( filter )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_CXSC_RP</code></td><td class="tdright">( global variable )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_CXSC_CP</code></td><td class="tdright">( global variable )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_CXSC_RI</code></td><td class="tdright">( global variable )</td></tr></table></div>
<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ TYPE_CXSC_CI</code></td><td class="tdright">( global variable )</td></tr></table></div>
<p>The category of floating-point numbers.</p>

<p>Note that they are treated as commutative and scalar, but are not necessarily associative.</p>

<p><a id="X7CD9EDF079B439BC" name="X7CD9EDF079B439BC"></a></p>

<h4>4.5 <span class="Heading">FPLLL</span></h4>

<p><a id="X832DFC257C5C4D32" name="X832DFC257C5C4D32"></a></p>

<h5>4.5-1 FPLLLReducedBasis</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ FPLLLReducedBasis</code>( <var class="Arg">m</var> )</td><td class="tdright">( operation )</td></tr></table></div>
<p>Returns: A matrix spanning the same lattice as <var class="Arg">m</var>.</p>

<p>This function implements the LLL (Lenstra-Lenstra-Lovász) lattice reduction algorithm via the external library <strong class="pkg">fplll</strong>.</p>

<p>The result is guaranteed to be optimal up to 1%.</p>

<p><a id="X7C759DED84B77805" name="X7C759DED84B77805"></a></p>

<h5>4.5-2 FPLLLShortestVector</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ FPLLLShortestVector</code>( <var class="Arg">m</var> )</td><td class="tdright">( operation )</td></tr></table></div>
<p>Returns: A short vector in the lattice spanned by <var class="Arg">m</var>.</p>

<p>This function implements the LLL (Lenstra-Lenstra-Lovász) lattice reduction algorithm via the external library <strong class="pkg">fplll</strong>, and then computes a short vector in this lattice.</p>

<p>The result is guaranteed to be optimal up to 1%.</p>


<div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a>   <a href="chap0_mj.html#contents">[Contents]</a>    <a href="chap3_mj.html">[Previous Chapter]</a>    <a href="chapBib_mj.html">[Next Chapter]</a>   </div>


<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a>  <a href="chap1_mj.html">1</a>  <a href="chap2_mj.html">2</a>  <a href="chap3_mj.html">3</a>  <a href="chap4_mj.html">4</a>  <a href="chapBib_mj.html">Bib</a>  <a href="chapInd_mj.html">Ind</a>  </div>

<hr />
<p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>

100%


¤ Dauer der Verarbeitung: 0.1 Sekunden  (vorverarbeitet)  ¤

*© Formatika GbR, Deutschland




Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.