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<TITLE>Implementation</TITLE>
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<b>Data Structures and Algorithms
with Object-Oriented Design Patterns in C++</b><br>
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<H3><A NAME="SECTION0011611000000000000000">Implementation</A></H3>
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Program <A HREF="page332.html#progmwaytree1h" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page332.html#progmwaytree1h"><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> declares the class <tt>MWayTree</tt>.
An <tt>MWayTree</tt> is derived from the class <tt>SearchTree</tt>
which is in turn derived from <tt>Tree</tt> and <tt>SearchableContainer</tt>.
The four member variables, <tt>m</tt>, <tt>numberOfKeys</tt>,
<tt>key</tt>, and <tt>subtree</tt>,
correspond to the components of a node shown in Figure <A HREF="page331.html#figmway" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page331.html#figmway"><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>.
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<P><A NAME="21711"> </A><A NAME="progmwaytree1h"> </A> <IMG WIDTH=575 HEIGHT=333 ALIGN=BOTTOM ALT="program21512" SRC="img1356.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1356.gif" ><BR>
<STRONG>Program:</STRONG> <tt>MWayTree</tt> Class Definition<BR>
<P>
<P>
The first member variable, <tt>m</tt>, is a constant.
It is used to record the degree of the node which cannot change
after the node is created.
(I.e., <IMG WIDTH=46 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap_inline65400" SRC="img1357.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1357.gif" >).
The second member variable, <tt>numberOfKeys</tt>,
keeps track of the number of keys contained in the node.
Recall, a node which has <I>n</I> subtrees contains <I>n</I>-1 keys.
Therefore, <IMG WIDTH=158 HEIGHT=23 ALIGN=MIDDLE ALT="tex2html_wrap_inline65406" SRC="img1358.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1358.gif" >.
We have chosen to keep track of the number of keys of a node
rather than the number of subtrees because it simplifies
the coding of the algorithms by eliminating some of the special cases
which arise if we keep track of <I>n</I> explicitly.
<P>
The third member variable, <tt>key</tt>,
is an array of pointers to <tt>Object</tt> class instances.
It is used to contain pointers to the keys contained in the node.
The fourth and final member variable, <tt>subtree</tt>,
is an array of pointers to the <tt>MWayTree</tt> instances
which are the subtrees of the given node.
<P>
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