Main.cpp
#include <iostream>
#include "Rational.h"
using namespace std;
int main()
{
Rational half(1,2), two_thirds(2,3), four_fifths(4,5);
Rational third(1,3), one(1,1), two(2,1);
Rational answer;
answer = third * half;
answer.printRational();
answer = half + four_fifths / two * (third + one); //does bodmas
answer.printRational();
(half + third).printRational();
third.add(two).printRational();
return 0;
}
The header:
Rational.h
#ifndef RATIONAL_H
#define RATIONAL_H
class Rational{
public:
Rational();
Rational(int, int);
//Operator overloading. This four are the main methods
Rational operator+(Rational);
Rational operator-(Rational);
Rational operator*(Rational);
Rational operator/(Rational);
Rational operator()(Rational);
//This others just call the four above
Rational add(Rational);
Rational Subtract(Rational);
Rational multiply(Rational);
Rational divide(Rational);
Rational add(int, int);
Rational Subtract(int, int);
Rational multiply(int, int);
Rational divide(int, int);
//This are used within the methods
void simplify();
void printRational();
void improper();
int GCD(int, int);
private:
//a is the numerator and d the denominator. whole keeps the whole number part
int a, b, whole;
};
#endif // RATIONAL_H
and the meat of the code:
Rational.cpp
#include "Rational.h"
#include <iostream>
using namespace std;
Rational::Rational()
{
a = 0;
b = 1;
whole =0;
}
int Rational::GCD(int a, int b){
if(a%b == 0)
return b;
else
return GCD(b, a%b);
}
Rational::Rational(int x, int y){
a = x;
if(y != 0){
b = y;
}else{
//Validation
cout<<"Denominator cannot be zero";
b =1;
}
whole=0;
simplify();
}
void Rational::simplify(){
//get the whole part of the fraction
whole = a/b;
//first get the greatest common divisor of the two
int gcd = GCD(a , b);
a = a%b;
a = a / gcd; //numerator
b = b / gcd; //denominator
}
void Rational::improper(){
if(whole != 0)
a = whole * b + a;
}
void Rational::printRational(){
simplify();
// if no whole number no need to print 0, if b is zero just print the whole part
if(whole ==0 && a != 0)
cout<<a<<"/"<<b<<endl;
else if(a== 0)
cout<<whole<<endl;
else
cout<<whole<<" "<<a<<"/"<<b<<endl;
}
//overloading the addition operator. An addition sign between two objects
//of Rational class will cause this method to be executed
Rational Rational::operator+(Rational frac){
Rational obj; //Initialise an object from Rational class;
improper(); //Change to improper fractions to get rid of the whole number part
frac.improper();
obj.b = b * frac.b; // a/b + c/d = (ad + cb)/bd
obj.a = a * frac.b + frac.a * b;
return obj; //return the object with its a and b values altered
}
Rational Rational::operator-(Rational frac){
Rational obj; //Similar as above
improper();
frac.improper();
obj.b = b * frac.b; // a/b - c/d = (ad - bc)/bd
obj.a = a * frac.b - frac.a * b;
return obj;
}
Rational Rational::operator*(Rational frac){
Rational obj;
improper();
frac.improper();
obj.b = b * frac.b; // a/b * c/d = ac/bd
obj.a = a * frac.a;
return obj;
}
Rational Rational::operator/(Rational frac){
Rational obj;
improper();
frac.improper();
obj.a = a * frac.b; //a/b / c/d = ad / bc
obj.b = b * frac.a;
return obj;
}
//Overloading the brackets will allow:
// third * (half + third)
Rational Rational::operator()(Rational frac){
//the object pointed to by 'this'(thats this object) multiplied by another
//object
Rational obj = *this * frac; //the * has been overloaded
return obj;
}
Rational Rational::multiply(Rational frac){
Rational obj = *this /frac; //Using operator overloading use this object divided by frac and return the new object
return obj;
}
Rational Rational::add(Rational frac){
Rational obj = *this + frac;
return obj;
}
Rational Rational::Subtract(Rational frac){
Rational obj = *this - frac;
return obj;
}
Rational Rational::divide(Rational frac){
Rational obj = *this / frac;
return obj;
}
Rational Rational::add(int x, int y){
Rational obj,frac(x,y);
obj = *this + frac;
return obj;
}
Rational Rational::Subtract(int x, int y){
Rational obj,frac(x,y);
obj = *this - frac;
return obj;
}
Rational Rational::multiply(int x, int y){
Rational obj,frac(x,y);
obj = *this * frac;
return obj;
}
Rational Rational::divide(int x, int y){
Rational obj,frac(x,y);
obj = *this / frac;
return obj;
}
The source code 