Roman numerals are not a data type provided by C++ compiler, so to work with them we must implement our own ADT .
Create a new data type roman using the class feature in C++.
Allow input, output and basic math and relational operations on this new data type. Conversion routines to and from strings and those newfangled Arabic numerals should be included. Create a separate class library for roman.
Create a test program to demonstrate all of the features of the class.
Roman numerals are written from left to right,
using the principle of addition. A person first writes the thousands, then
the hundreds, then the tens, and finally the units. Thus to write the number
2,763, a person first writes MM (2,000), then DCC (500+200=700), next LX
(50+10=60) and finally III (3).
The number 2,763 appears as MMDCCLXIII
All 4's and 9's use the principle of
subtraction. Thus 4 is written as IV, or 5 minus 1, and 9 is written as IX,
or 10 minus 1. The same principle applies to any number that begins with a 4
or 9, such as 40=XL, 90=XC, 400=CD, 900=CM. In Roman numerals, a smaller
numeral appearing before a larger numeral indicates that the smaller numeral
is subtracted from the larger one.
[From: World Book Encyclopedia]
Also See: http://en.wikipedia.org/wiki/Roman_numerals
Use functional decomposition to create a code design. No GLOBAL Variables are allowed!
Following the guidelines discussed in class, construct a test set for
the program.