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<b>Data Structures and Algorithms
with Object-Oriented Design Patterns in C++</b><br>
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<H1><A NAME="SECTION0016800000000000000000">Distribution Sorting</A></H1>
<P>
The final class of sorting algorithm considered in this chapter
consists of algorithms that sort <em>by distribution</em><A NAME=45206> </A><A NAME=45207> </A>.
The unique characteristic of a distribution sorting algorithm
is that it does <em>not</em> make use of comparisons to do the sorting.
<P>
Instead, distribution sorting algorithms rely on <em>a priori</em>
knowledge about the universal set
from which the elements to be sorted are drawn.
For example, if we know <em>a priori</em> that the size of the universe
is a small, fixed constant, say <I>m</I>,
then we can use the bucket sorting algorithm
described in Section <A HREF="page516.html#secsortingbucket" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page516.html#secsortingbucket"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A>.
<P>
Similarly, if we have a universe the elements of which can be represented
with a small, finite number of bits (or even digits, letters, or symbols),
then we can use the radix sorting algorithm given in Section <A HREF="page518.html#secsortingradix" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page518.html#secsortingradix"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A>.
<P>
<BR> <HR>
<UL>
<LI> <A NAME="tex2html8279" HREF="page516.html#SECTION0016810000000000000000" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page516.html#SECTION0016810000000000000000">Bucket Sort</A>
<LI> <A NAME="tex2html8280" HREF="page518.html#SECTION0016820000000000000000" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page518.html#SECTION0016820000000000000000">Radix Sort</A>
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