Question

Design, implement and test a C++ class to work with real numbers as rational numbers called class "Rational". The data members are the numerator and denominator, stored as integers. We have no need for setters or getters (aka mutators or accessors) in the Rational class. All of our operations on rational numbers involve the entired number, not just the numerator or denominator."

• <<" and">>" (i.e., input and output). It's a design decision as to when to "normalize" a rational number. The numerator and denominator will be in "lowest terms" and only the numerator may be negative. For example, if we were given as input 4/-8, we would store and display it as -1/2. Simililarly -8/-6 would turn into 4/3. Thus when they are first created, they must be stored as normalized and any operation that might change a number must also normalize it. We will maintain the numbers in their normalized form at all times. Either (or both) of the numerator and the denominator may be input as negative integers. The following are all possible inputs: 1/2, -1/-2, -1/2 and 1/-2. Rational numbers are read and written as an integer, followed by a slash, and followed by an integer.
• "+=" operator must be implemented as a member function, aka method. "+" operator must be implemented (ie., addition) as a non-member function that calls the "+="operator. Do not make "+" operator a friend."==" operator must be Implement as a non-member. "!=" operator must be implemented as non-member, but not as a friend.
  • "++" operator and "--" operator must be:
    • Both pre- and post-.
    • Member for "++" operator
    • Non-member, non-friend for "--" operator
  • "<" operator must be non-member
  • "<=" , ">" and ">=" operators must be implemented as non-member and non-friend.
• Make it possible to write "if (r) {}", where r is a Rational number. Use the code given below to compute the greatest common divisor of two non-negative integers, that should be useful for writing the normalize function:

Code:

int greatestCommonDivisor(int x, int y) {
while (y != 0) {
int temp = x % y;
x = y;
y = temp;
}
return x;
}

Answer 1

Note: Could you plz go through this code and let me know if u need any changes in this.Thank You
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#include <fstream>
#include <iostream>
#include <iomanip>
#include <cstring>
#include <cstdlib>
using namespace std;

class Rational
{


public :  
    int numer;
   int denom;
Rational();
Rational(int numer, int denom);
void operator+=(const Rational &);
Rational operator++();
/**
* Friend function declarations
* Output Rational number to an output stream, Example 3+4i
*/
friend std::ostream& operator<<(std::ostream& dout,Rational&);
/**
* read Rational number to an input stream
*/
friend std::istream& operator>>(std::istream& din, Rational&);
  
Rational normalize();
int greatestCommonDivisor(int x, int y) ;
  

};
Rational::Rational()
{
    this->numer=0;
    this->denom=1;
}
int Rational::greatestCommonDivisor(int x, int y) {
while (y != 0) {
int temp = x % y;
x = y;
y = temp;
}
return x;
}
Rational Rational::normalize() {
int num = this->numer;
int den = this->denom;
if (num < 0 && den < 0) {
num = num * -1;
den = den * -1;
} else if (den < 0) {
num = num * -1;
den = den * -1;
}
int g=greatestCommonDivisor(num,den);
Rational r(num/g, den/g);
return r;
}
  
// Function implementation which display Rational numbers by using the operator overloading '<<'
ostream& operator<<(ostream& dout,Rational& c)
{
   c.normalize();
dout << c.numer << "/" << c.denom;
return dout;
}
// Function implementation which read Rational numbers by using the operator overloading '>>'
istream& operator>>(istream& din, Rational& c)
{
char ch;
din >> c.numer;
din >> ch;
din >> c.denom;
c.normalize();
return din;
}

Rational::Rational(int numer, int denom)
{
    this->numer=numer;
    this->denom=denom;
}
// Preincrememnt operator overloading
Rational Rational::operator++()
{
Rational f(++numer,++denom);
return f;

}

void Rational::operator+=(const Rational& a)
{
this->numer=a.numer * denom + a.denom * numer;
this->denom= a.denom * denom;
}

Rational operator+(Rational& f1,Rational& f2) ;
bool operator==(Rational f1,Rational f2);
bool operator!=(Rational& f1,Rational& f2);
Rational operator--(Rational &r,int);
bool operator<(Rational& f1,Rational& f2);
    bool operator<=(Rational& f1,Rational& f2);
bool operator>=(Rational& f1,Rational& f2);
bool operator>(Rational& f1,Rational& f2);      

int main() {
   //Declaring variables
   Rational r1,r2;
   cout<<"Enter Rational#1:";
   cin>>r1;
   cout<<"Enter Rational#2:";
   cin>>r2;
  
   cout<<"Rational#1 :"<<r1<<endl;
   cout<<"Rational#2 :"<<r2<<endl;
  
   Rational r3=r1+r2;
   cout<<"Rational#3 :"<<r3<<endl;
   if(r1<r2)
   {
       cout<<r1<<" less than "<<r2<<endl;
   }
   else
   {
       cout<<r1<<" not less than "<<r2<<endl;
   }
   if(r1>r2)
   {
       cout<<r1<<" greater than "<<r2<<endl;
   }
   else
   {
       cout<<r1<<" not greater than "<<r2<<endl;
   }
   if(r1<=r2)
   {
       cout<<r1<<" less than or equal to "<<r2<<endl;
   }
   else
   {
       cout<<r1<<" not less than or equal to "<<r2<<endl;
   }
   if(r1>=r2)
   {
       cout<<r1<<" greater than or equal to "<<r2<<endl;
   }
   else
   {
       cout<<r1<<" not greater than or equal to "<<r2<<endl;
   }
   if(r1==r2)
   {
       cout<<r1<<" is equal to "<<r2<<endl;
   }
   else
   {
       cout<<r1<<" is not equal to "<<r2<<endl;
   }
   ++r1;
   cout<<"Rational#1 after preinecrement :"<<r1<<endl;
  
      
   return 0;
}

Rational operator+(Rational& f1,Rational& f2)
{
   Rational f3;
f3+=f1;
f3+=f2;
return f3;
}

bool operator==(Rational f1,Rational f2)
{
   if(f1.numer==f2.numer && f1.denom == f2.denom)
   return true;
   else
   return false;
}
bool operator!=(Rational& f1,Rational& f2)
{
   if(f1==f2)
   return false;
   else
   return true;
}

// Postincrememnt operator overloading
Rational operator--(Rational &r,int)
{
Rational r1(r.numer--,r.denom--);
return r1;
}
bool operator<(Rational& f1,Rational& f2)
{
   int a = f1.numer;
int b = f1.denom;
int c = f2.numer;
int d = f2.denom;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
// cout<<f1<<" "<<f2<<endl;
if ((n1 / d1) < (n2 / d2))
return true;
else
return false;

   }
  
   bool operator<=(Rational& f1,Rational& f2)
   {
       int a = f1.numer;
int b = f1.denom;
int c = f2.numer;
int d = f2.denom;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
// cout<<f1<<" "<<f2<<endl;
if ((n1 / d1) <= (n2 / d2))
return true;
else
return false;

   }
bool operator>=(Rational& f1,Rational& f2)
{
   int a = f1.numer;
int b = f1.denom;
int c = f2.numer;
int d = f2.denom;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
// cout<<f1<<" "<<f2<<endl;
if ((n1 / d1) >= (n2 / d2))
return true;
else
return false;

   }
  
bool operator>(Rational& f1,Rational& f2)
{
int a = f1.numer;
int b = f1.denom;
int c = f2.numer;
int d = f2.denom;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
if ((n1 / d1) > (n2 / d2))
return true;
else
return false;
  
   }

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Output:

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