Help with Rational Numbers (C++)
Hi
Im completely new to programming and was wondering if anyone would be willing to help me with this exercise in C++. I have absolutely no idea how to do this exercise:
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Rational.h is a C++ header file which declares a class (Rational) which handles Rational numbers (i.e. fractions).
You must create a C++ file which contains the definitions for all the methods in that class. Rational.cc is the start of just such a file, which contains one method to get you started.
Once you have the class methods defined, you can use it with the TestRat.cc test driver program. Using g++ you would perform the following steps:
1. g++ -c Rational.cc //this creates Rational.o with the class definitions in it
2. g++ -c TestRat.cc //this creates TestRat.o with the main function in it
3. g++ Rational.o TestRat.o -o TestRat //this combines the class definitions with the class usage in the main function and creates an executable file called TestRat
Code:
Rational.h is given here:
const int MAXB=20;
class Rational {
private:
int numerator, denominator;
char buffer[MAXB];
static int gcd (int a, int b); //a helpful function that returns the
//Greatest Common
Denominator of
//two numbers
void normalize(); //Make sure that this fraction is in
//its lowest terms (ie 3/12 -> 1/4)
//Hint: use gcd()
public:
Rational(); //default constructor of a Rational
//number whose numerator and
//denominator are 0/1
Rational(int n, int d); //constructor of a Rational number
//whose numerator and denominator
//are n/d
char *toString(); //turns this number into a string
//using this object's handy buffer
Rational plus(Rational r); // add two rational numbers
Rational minus(Rational r); // subtract two rational numbers
Rational times(Rational r); // multiply two rational numbers
Rational divide(Rational r); // divide two rational numbers
// don't forget that
// a/b + c/d == (ad + bc) / bd
// a/b - c/d == (ad - bc) / bd
// a/b * c/d == ac / bd
// a/b / c/d == ad / bc
};
Rational.cc is given here:
#include <stdio.h>
#include "Rational.h"
int Rational::gcd (int a, int b){
if (b == 0) return a;
else return gcd (b, a % b);
}
TestRat.cc is given here:
#include <iostream.h>
#include "Rational.h"
int main(int argc, char *argv[]){
Rational a(2,3);
Rational b(1,2);
Rational res;
res=a.plus(b);
cout << a.toString() << " + " << b.toString() << " = " <<
res.toString() << endl ;
res=a.minus(b);
cout << a.toString() << " - " << b.toString() << " = " <<
res.toString() << endl ;
res=a.times(b);
cout << a.toString() << " * " << b.toString() << " = " <<
res.toString() << endl ;
res=a.divide(b);
cout << a.toString() << " / " << b.toString() << " = " <<
res.toString() << endl ;
}
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If someone could possibly do the exercise and run my through it, i would be really grateful.
Thanks alot
