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<b>Data Structures and Algorithms 
with Object-Oriented Design Patterns in C++</b><br>
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<H2><A NAME="SECTION0010660000000000000000">Binary Tree Traversals</A></H2>
<P>
Program&nbsp;<A HREF="page293.html#progbintree3c" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page293.html#progbintree3c"><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> defines the <tt>DepthFirstTraversal</tt>
member function of the <tt>BinaryTree</tt> class.
This routine supports all three tree traversal methods--preorder, inorder and postorder.
The implementation follows directly from the definitions
given in Section&nbsp;<A HREF="page257.html#sectreestraversals" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page257.html#sectreestraversals"><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>.
The traversal is implemented using recursion.
I.e., the function calls itself recursively
to visit the subtrees of the given node.
Note that the recursion terminates properly when an empty tree is encountered
since the routine does nothing in that case.
<P>
<P><A NAME="17419">&#160;</A><A NAME="progbintree3c">&#160;</A> <IMG WIDTH=575 HEIGHT=277 ALIGN=BOTTOM ALT="program17266" SRC="img1188.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1188.gif"  ><BR>
<STRONG>Program:</STRONG> <tt>BinaryTree</tt> Class <tt>DepthFirstTraversal</tt>     Member Function Definition<BR>
<P>
<P>
The traversal routine takes as its lone argument
a reference to a <tt>PrePostVisitor</tt>.
As each node is ``visited'' during the course of the traversal,
the <tt>PreVisit</tt>, <tt>Visit</tt> and <tt>PostVisit</tt>
member functions of the visitor
are applied to the object contained in that node.
<P>
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