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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<title>GNU Scientific Library &ndash; Reference Manual: Sorting</title>

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<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Sorting"></a>
<div class="header">
<p>
Next: <a href="BLAS-Support.html#BLAS-Support" accesskey="n" rel="next">BLAS Support</a>, Previous: <a href="Multisets.html#Multisets" accesskey="p" rel="previous">Multisets</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Sorting-1"></a>
<h2 class="chapter">12 Sorting</h2>
<a name="index-sorting"></a>
<a name="index-heapsort"></a>
<p>This chapter describes functions for sorting data, both directly and
indirectly (using an index).  All the functions use the <em>heapsort</em>
algorithm.  Heapsort is an <em>O(N \log N)</em> algorithm which operates
in-place and does not require any additional storage.  It also provides
consistent performance, the running time for its worst-case (ordered
data) being not significantly longer than the average and best cases.
Note that the heapsort algorithm does not preserve the relative ordering
of equal elements&mdash;it is an <em>unstable</em> sort.  However the resulting
order of equal elements will be consistent across different platforms
when using these functions.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="Sorting-objects.html#Sorting-objects" accesskey="1">Sorting objects</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Sorting-vectors.html#Sorting-vectors" accesskey="2">Sorting vectors</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Selecting-the-k-smallest-or-largest-elements.html#Selecting-the-k-smallest-or-largest-elements" accesskey="3">Selecting the k smallest or largest elements</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Computing-the-rank.html#Computing-the-rank" accesskey="4">Computing the rank</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Sorting-Examples.html#Sorting-Examples" accesskey="5">Sorting Examples</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Sorting-References-and-Further-Reading.html#Sorting-References-and-Further-Reading" accesskey="6">Sorting References and Further Reading</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>




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