Question

Make a new class called Rational to represent rational numbers in C++ language. Use a long to store each part (numerator and denominator). Be sure your main function fully test the class.

1. Create a helper function called gcd to calculate the greatest common divisor for the two given parameters. See Euclid’s algorithm (use google.com). Use this function to always store rationals in “lowest terms”.

2. Create a default, one argument and two argument constructor. For the two argument constructor, throw an exception if the denominator is zero.

3. Supply functions to support addition, subtraction, multiplication and division of two rational operands. After each operation, the rational value should be in “lowest terms” and the denominator positive.

4. Please note the the denominator must always be positive. Negative rationals should be stored with a negative numerator.

5. Implement the insertion operator. (rational values should be displayed as numerator / denominator). 6. Supply a complete program that exercises your class.

You must supply a listing of your program and sample output.

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 <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

class DividedByZero : public exception
{
private:
public:
// Zero argumented constructor
DividedByZero()
{
}
virtual const char* what() const throw()
{
return "Denominator must not be zero";
}
}myex;

//Class
class Rational {
//Declaring variables
int numer;
int denom;
public:
Rational()
{
this->numer = 0;
this->denom = 1;
}
Rational(int num, int den);
Rational(int num);
//Declaring functions
Rational add(Rational rn);
Rational subtract(Rational rn);
Rational multiply(Rational rn);
Rational divide(Rational rn);
void printNumber();
void reduce(Rational& rn1);
int gcd(int num1,int num2);
//setter and getter function declarations
int getNumer();
void setNumer(int numer);
int getDenom();
void setDenom(int denom);
};
//Parameterized constructor having 2 arguments as parameters
Rational::Rational(int num, int den)
{
this->numer = num;
this->denom = den;
}
//Parameterized constructor having 1 argument as parameter
Rational::Rational(int num)
{
this->numer = num;
this->denom = 1;
}
//Setter and getter function implementations
void Rational::setNumer(int numer)
{
this->numer = numer;
}
int Rational::getNumer()
{
return numer;
}
void Rational::setDenom(int denom)
{
this->denom = denom;
}
int Rational::getDenom()
{
return denom;
}
//This method will reduce the rational number to smallest form
void Rational::reduce(Rational& rn1)
{
   int num = getNumer();
int den = getDenom();
if (num < 0 && den < 0) {
rn1.setNumer(num * -1);
rn1.setDenom(den * -1);
} else if (den < 0) {
           rn1.setNumer(num * -1);
rn1.setDenom(den * -1);
}

  
int temp = gcd(rn1.numer,rn1.denom);
//Reducing the numerator
rn1.setNumer(rn1.getNumer() / temp);
//Reducing the denominator
rn1.setDenom(rn1.getDenom() / temp);
}
//This function will calculates the gcd
int Rational::gcd(int num1,int num2)
{
if (num2 == 0) {
return num1;
}
return gcd(num2, num1 % num2);
}
//This method will add two rational numbers
Rational Rational::add(Rational rn)
{
Rational rn1;
int a, b, c, d;
a = getNumer();
b = getDenom();
c = rn.getNumer();
d = rn.getDenom();
rn1.setNumer((a * d + b * c));
rn1.setDenom((b * d));
reduce(rn1);
return rn1;
}
//This method will subtract two rational numbers
Rational Rational::subtract(Rational rn)
{
Rational rn1;
int a, b, c, d;
a = getNumer();
b = getDenom();
c = rn.getNumer();
d = rn.getDenom();
rn1.setNumer((a * d - b * c));
rn1.setDenom(b * d);
reduce(rn1);
return rn1;
}
//This method will multiply two rational numbers
Rational Rational::multiply(Rational rn)
{
Rational rn1;
int a, b, c, d;
a = getNumer();
b = getDenom();
c = rn.getNumer();
d = rn.getDenom();
rn1.setNumer(a * c);
rn1.setDenom(b * d);
reduce(rn1);
return rn1;
}
//This method will divide two rational numbers
Rational Rational::divide(Rational rn)
{
Rational rn1;
int a, b, c, d;
a = getNumer();
b = getDenom();
c = rn.getNumer();
d = rn.getDenom();
rn1.setNumer(a * d);
rn1.setDenom(c * b);
reduce(rn1);
return rn1;
}
//This function will display the rational number
void Rational::printNumber()
{
   if(getNumer()==1 && getDenom()==1)
   {
       cout << "(" << getNumer() << ")";
   }
   else
   {
       cout << "(" << getNumer() << "/" << getDenom() << ")";  
   }
}
int main()
{
int choice, a, b;
char ch, ch1;
cout << "THIS PROGRAM PERFORMS ARITHMETIC OPERATIONS ON RATIONAL NUMBERS:" << endl;
cout << "****************************************************************" << endl;
while(true)
{
while (true) {
   try
   {
   cout << "\nPlease enter the first rational number :";
cin >> a >> ch >> b;
if (b == 0) {
throw myex;
continue;
}
else
break;  
           }
           catch(DividedByZero& myex)
           {
               cout << myex.what() << endl;
               continue;

           }
}
Rational rn1(a, b);
while (true) {
   try
   {
   cout << "\nPlease enter the second rational number :";
cin >> a >> ch >> b;
if (b == 0) {
throw myex;
continue;
}
else
break;  
           }
           catch(DividedByZero& myex)
           {
               cout << myex.what() << endl;
               continue;

           }
}
Rational rn2(a, b);
cout << "\nOPERATIONS" << endl;
cout << "\t(1) ADDITION" << endl;
cout << "\t(2) SUBTRACTION" << endl;
cout << "\t(3) MULTIPLICATION" << endl;
cout << "\t(4) DIVISION" << endl;
cout << "Please select an operation (1,2,3 or 4):";
cin >> choice;
switch (choice) {
case 1: {
Rational res = rn1.add(rn2);
rn1.printNumber();
cout << " + ";
rn2.printNumber();
cout << " = ";
res.printNumber();
cout << endl;
break;
}
case 2: {
Rational res = rn1.subtract(rn2);
rn1.printNumber();
cout << " - ";
rn2.printNumber();
cout << " = ";
res.printNumber();
cout << endl;
break;
}
case 3: {
Rational res = rn1.multiply(rn2);
rn1.printNumber();
cout << " * ";
rn2.printNumber();
cout << " = ";
res.printNumber();
cout << endl;
break;
}
case 4: {
  
Rational res = rn1.divide(rn2);
rn1.printNumber();
cout << " / ";
rn2.printNumber();
cout << " = ";
res.printNumber();
cout << endl;
break;
}
default: {
cout << "** Invalid Choice **" << endl;
continue;
}
}
cout << "\nWould you like to run this program again (y/n) ?";
cin >> ch1;
if (ch1 == 'y' || ch1 == 'Y') {
continue;
}
else {
break;
}
}
return 0;
}

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Output:

___________________Thank You