Question

C++

prefix 3. Add four basic mathematical operators +, -, *, and 7, the six comparison operators < <= > >= ==, and !=, and the input and output operators to the Rational class. Write the mathematical and comparison operators as methods. Store the numerator and denominator in reduced form.

Answer 1

note : plz follow the space indentation exactly as per in the program screenshot.So that u wont get any errors.

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#include <fstream>
#include <iostream>
#include <iomanip>
#include <cstring>
#include <cstdlib>
#include <ctime>
#include <vector>
#include <bits/stdc++.h>
using namespace std;

class Rational {
public:
// Constructors
Rational();
Rational(int num, int den);
Rational(int num);
// Member functions
int get_numerator();
int get_denominator();
Rational operator + (const Rational & f) const; // operator+()
Rational operator - (const Rational & f) const; // operator-()
Rational operator * (const Rational & f) const; // operator*()
Rational operator / (const Rational & f) const; // operator*()
bool operator != (const Rational & f) const; // operator!=()
bool operator == (const Rational & f) const; // operator==()
bool operator <= (const Rational & f) const; // operator<=()
bool operator >= (const Rational & f) const; // operator>=()
bool operator < (const Rational & f) const; // operator<()
bool operator > (const Rational & f) const; // 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 gcd(int x, int y);
private:
int numerator;
int denominator;
};

Rational::Rational()
{
this->numerator=0;
this->denominator=1;
}
Rational::Rational(int num, int den)
{
this->numerator=num;
this->denominator=den;   
      
}
Rational::Rational(int num)
{
this->numerator=num;
this->denominator=1;
}
// Member functions
int Rational::get_numerator()
{
return numerator;
}
int Rational::get_denominator()
{
return denominator;
}
  
int Rational::gcd(int x, int y) {
while (y != 0) {
int temp = x % y;
x = y;
y = temp;
}
return x;
}
Rational Rational::normalize() {
int num = this->numerator;
int den = this->denominator;
if (num < 0 && den < 0) {
num = num * -1;
den = den * -1;
} else if (den < 0) {
num = num * -1;
den = den * -1;
}
int g=gcd(num,den);
  
Rational r(num/g, den/g);
return r;
}
Rational Rational::operator+(const Rational& f) const
{

int a = numerator;
int b = denominator;
int c = f.numerator;
int d = f.denominator;
int sumnumer = (a * d + b * c);
int denom = (b * d);
Rational frac(sumnumer,denom);
frac=frac.normalize();
return frac;
}
Rational Rational::operator-(const Rational& f) const
{
  
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
int subnumer = (a * d - b * c);
int denom = (b * d);
Rational frac(subnumer,denom);
frac=frac.normalize();
return frac;
}
Rational Rational::operator*(const Rational& f) const
{
  
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
int mulnumer = (a * c);
int muldenom = (b * d);
Rational frac(mulnumer,muldenom);
frac=frac.normalize();
return frac;
}
Rational Rational::operator/(const Rational& f) const
{

int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
int divnumer = (a * d);
int divdenom = (c * b);
Rational frac(divnumer,divdenom);
frac=frac.normalize();
return frac;
}
bool Rational::operator<=(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
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;
}
bool Rational::operator>=(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
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;
}
bool Rational::operator<(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
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;
}
bool Rational::operator>(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
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;
}
bool Rational::operator!=(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
if ((n1 != n2) || (d1 != d2))
return true;
else
return false;
}
bool Rational::operator==(const Rational& f) const
{
int a = this->numerator;
int b = this->denominator;
int c = f.numerator;
int d = f.denominator;
double n1 = a * d;
double d1 = b * d;
double n2 = c * b;
double d2 = d * b;
  
if ((n1 == n2) && (d1 == d2))
return true;
else
return false;
}

// Function implementation which display Rational numbers by using the operator overloading '<<'
ostream& operator<<(ostream& dout,Rational& c)
{

dout <<"("<< c.get_numerator() << "/" << c.get_denominator()<<")";
return dout;
}
// Function implementation which read Rational numbers by using the operator overloading '>>'
istream& operator>>(istream& din, Rational& c)
{
char ch;
din >> c.numerator;
din >> ch;
din >> c.denominator;
return din;
}

int main() {
   //Declaring variables
Rational r1=Rational(2,4),r2=Rational(3,6),r3=Rational(1,3),r4=Rational(3,10),r5=Rational(7,2),r6=Rational(20,6);
cout<<"Created fraction 2/4 , got :"<<r1<<", Should have received 1/2."<<endl;
cout<<"Created fraction 3/6 , got :"<<r2<<", Should have received 1/2."<<endl;
cout<<"Created fraction 1/3 , got :"<<r3<<endl;
  
cout<<"Created fraction 3/10 , got :"<<r4<<endl;
cout<<"Created fraction 7/2 , got :"<<r5<<endl;
cout<<"Created fraction 20/6 , got :"<<r6<<endl;
  
// Adding
Rational r=(r1+r2);
cout<<r1<<"+"<<r2<<"="<<r<<endl;
r=(r1+r3);
cout<<r1<<"+"<<r3<<"="<<r<<endl;
r=(r1+r4);
cout<<r1<<"+"<<r4<<"="<<r<<endl;
  
// Subtraction
r=(r1-r2);
cout<<r1<<"-"<<r2<<"="<<r<<endl;
r=(r1-r3);
cout<<r1<<"-"<<r3<<"="<<r<<endl;
r=(r1-r4);
cout<<r1<<"-"<<r4<<"="<<r<<endl;
  

// Multiplcation
r=(r1*r2);
cout<<r1<<"*"<<r2<<"="<<r<<endl;
r=(r1*r3);
cout<<r1<<"*"<<r3<<"="<<r<<endl;
r=(r1*r4);
cout<<r1<<"*"<<r4<<"="<<r<<endl;
  
// Multiplcation
r=(r1/r2);
cout<<r1<<"/"<<r2<<"="<<r<<endl;
r=(r1/r3);
cout<<r1<<"/"<<r3<<"="<<r<<endl;
r=(r1/r4);
cout<<r1<<"/"<<r4<<"="<<r<<endl;
  
r=(r1/r2);
cout<r1<<" < "<<r2<" is "<<r<<endl;
  
  
  
   return 0;
}

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