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//rational.h
#include<iostream>
class Rational
{
private:
// Private functions
void Normalize(); // To be implemented in the rational.cpp file
int m_num; // numerator
int m_den; // denominator
Rational( double n,double d)
{
}
public:
Rational operator-();
Rational operator+();
friend Rational operator+(Rational,Rational);
friend double operator+(double,Rational);
friend double operator+(Rational,double);
friend Rational operator-(Rational,Rational);
friend double operator-(Rational,double);
friend double operator-(double, Rational);
friend Rational operator*(Rational,Rational);
friend double operator*(Rational,double);
friend double operator*(double,Rational);
friend Rational operator/(Rational,Rational);
friend double operator/(double,Rational);
friend double operator/(Rational,double);
explicit Rational (const int n=0,const int d=1)
{
m_num=n;
m_den=d;
Normalize();
}
Rational (int &n);
operator double()
{
return double(m_num)/double(m_den);
}
void Print(); // Implemented in the rational.cpp file
// Access member functions
int Numerator() { return m_num; }
int Denominator() { return m_den; }
};
// rational.cpp
#include "rational.h"
#include <iostream>
using namespace std;
void Rational::Print()
{
if (m_num/m_den < 0)
{
std:: cout << '-';
}
Normalize();
std:: cout << '(' << m_num
<< '/' << m_den << ')'
<< std:: endl;
}
Rational Rational::operator-() // unary minus overloading
{
/*Rational unminus;
unminus.m_num=(-r1.m_num);
unminus.m_den=(-r1.m_den);
unminus.Normalize ();
return unminus;*/
return Rational(-(this->Numerator()), this->Denominator());
}
Rational Rational::operator+() // unary Plus overloading
{
/*Rational unplus;
unplus.m_num=(r1.m_num);
unplus.m_den=(r1.m_den);
unplus.Normalize ();
return unplus;*/
return *this;
}
Rational operator+(Rational r1, Rational r2) // Rational + Rational
{
Rational ratplus;
ratplus.m_num =(r1.m_num)*(r2.m_den)+ (r2.m_num)*(r1.m_den);
ratplus.m_den =(r2.m_den)*(r1.m_den) ;
ratplus.Normalize ();
return ratplus;
}
double operator+(double r1, Rational r2) // double + Rational
{
double ratplus;
ratplus=r2;
return r1 + ratplus;
}
double operator+(Rational r1, double r2) // Rational + double
{
double ratplus;
ratplus=r1;
return ratplus + r2;
}
Rational operator-(Rational r1, Rational r2) // Rational - Rational
{
Rational ratplus;
ratplus.m_num =(r1.m_num)*(r2.m_den)-(r2.m_num)*(r1.m_den);
ratplus.m_den =(r2.m_den)*(r1.m_den) ;
ratplus.Normalize ();
return ratplus;
}
double operator-(double r1, Rational r2) // double - Rational
{
double ratplus;
ratplus=r1-(r2.m_num)/(r2.m_den);
return ratplus;
}
double operator-(Rational r1, double r2) // Rational - double
{
double dlhs = r1;
return dlhs + r2;
}
Rational operator*(Rational r1, Rational r2) // Rational*Rational
{
Rational ratmult;
ratmult.m_num =r1.m_num * r2.m_num ;
ratmult.m_den =r1.m_den * r2.m_den ;
ratmult.Normalize ();
return ratmult;
}
double operator*(double r1, Rational r2) // double * Rational
{
double ratplus;
ratplus=(r1*r2.m_num)/(r2.m_den);
return ratplus;
}
double operator*(Rational r1, double r2) // Rational * double
{
double dr1 = r1;
return dr1 * r2;
}
Rational operator/(Rational r1, Rational r2) // Binary division overloading
{
Rational ratdiv;
ratdiv.m_num =(r1.m_num * r2.m_den) ;
ratdiv.m_den =(r1.m_den * r2.m_num );
ratdiv.Normalize ();
return ratdiv;
}
double operator/(double r1, Rational r2) // double / Rational
{
double ratplus;
ratplus=(r1*r2.m_den)/r2.m_den;
return ratplus;
}
double operator/(Rational r1, double r2) // Rational / double
{
double dr1 = r1;
return dr1/r2;
}
void Rational::Normalize() // Normalize() defination
{
if ( (m_num == 0) || (m_den == 0) )
int a=1;
if (m_num < 0)
m_num = -m_num;
if (m_den < 0)
m_den = -m_den;
// Euclid's algorithm...
int a, b, r;
if (m_den > m_num)
{
a = m_den;
b = m_num;
}
else
{
a = m_num;
b = m_den;
}
r = 1;
while (r > 0 && b > 0)
{
r = a % b;
a = b;
b = r;
}
m_num=m_num/a;
m_den=m_den/a;
}
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