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<title>Sorting - GNU Scientific Library -- Reference Manual</title>
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<h2 class="chapter">11 Sorting</h2>

<p><a name="index-sorting-1050"></a><a name="index-heapsort-1051"></a>This chapter describes functions for sorting data, both directly and
indirectly (using an index).  All the functions use the <dfn>heapsort</dfn>
algorithm.  Heapsort is an O(N \log N) 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 <dfn>unstable</dfn> sort.  However the resulting
order of equal elements will be consistent across different platforms
when using these functions.

<ul class="menu">
<li><a accesskey="1" href="Sorting-objects.html">Sorting objects</a>
<li><a accesskey="2" href="Sorting-vectors.html">Sorting vectors</a>
<li><a accesskey="3" href="Selecting-the-k-smallest-or-largest-elements.html">Selecting the k smallest or largest elements</a>
<li><a accesskey="4" href="Computing-the-rank.html">Computing the rank</a>
<li><a accesskey="5" href="Sorting-Examples.html">Sorting Examples</a>
<li><a accesskey="6" href="Sorting-References-and-Further-Reading.html">Sorting References and Further Reading</a>
</ul>

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