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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="SECTION007132000000000000000">Implementation</A></H3>
<P>
Program&nbsp;<A HREF="page146.html#progapp01c" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page146.html#progapp01c"><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> gives the implementation of a simple RPN calculator.
The purpose of this example
is to illustrate the use of the <tt>Stack</tt> class.
The program shown accepts very simplified RPN expressions:
The expression may contain only single-digit integers,
the addition operator, <tt>+</tt>,
and the multiplication operator, <tt>*</tt>.
In addition, the operator <tt>=</tt> pops the top value off the stack
and prints it on the standard output stream, <tt>cout</tt>.
Furthermore, the calculator does its computation entirely with integers.
<P>
<P><A NAME="6594">&#160;</A><A NAME="progapp01c">&#160;</A> <IMG WIDTH=575 HEIGHT=601 ALIGN=BOTTOM ALT="program6591" SRC="img734.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img734.gif"  ><BR>
<STRONG>Program:</STRONG> Stack Application--A Single-Digit, RPN Calculator<BR>
<P>
<P>
Notice that the <tt>RPNCalculator</tt> function
is passed a reference to a <tt>Stack</tt> object.
Consequently, the function manipulates the stack entirely through
the abstract interface.
The calculator does not depend on the stack implementation used!
For example, if we wish to use a stack implemented using an array,
we would declare a <tt>StackAsArray</tt> variable and invoke the
calculator as follows:
<PRE>StackAsArray s (10);
RPNCalculator (s);</PRE>
On the other hand, if we decided to use the pointer-based stack implementation,
we would write:
<PRE>StackAsLinkedList s;
RPNCalculator (s);</PRE>
<P>
The running time of the <tt>RPNCalculator</tt> function depends
upon the number of symbols, operators and operands,
in the expression being evaluated.
If there are <I>n</I> symbols,
the body of the <tt>for</tt> loop is executed <I>n</I> times.
It should be fairly obvious that the amount of work done
per symbol is constant, regardless of the type of symbol encountered.
This is the case for both the <tt>StackAsArray</tt>
and the <tt>StackAsLinkedList</tt> stack implementations.
Therefore, the total running time needed to evaluate an
expression comprised of <I>n</I> symbols is <I>O</I>(<I>n</I>).
<P>
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