/******************************************************
Name: 

Filename: RationalNum.cpp
******************************************************/
#include <cstdlib>
#include <iostream> 
#include "RationalNum.h"
using namespace std;

RationalNumber::RationalNumber( int n, int d )
{
   numerator = n;
   denominator = d;
   reduction();
}

const RationalNumber RationalNumber::operator+(
   const RationalNumber &s )
{
   RationalNumber sum;

   sum.numerator = numerator * s.denominator + denominator *
      s.numerator;
   sum.denominator = denominator * s.denominator;
   sum.reduction();
   return sum;
}


const RationalNumber RationalNumber::operator-(
   const RationalNumber &s )
{
   RationalNumber sub;

   sub.numerator = numerator * s.denominator - denominator *
      s.numerator;
   sub.denominator = denominator * s.denominator;
   sub.reduction();
   return sub;
}

const RationalNumber RationalNumber::operator*(const RationalNumber &m)
{
  RationalNumber multiply;

  multiply.numerator = numerator * m.numerator;
  multiply.denominator = denominator * m.denominator;
  multiply.reduction();
  return multiply;
}


const RationalNumber RationalNumber::operator/( RationalNumber &d )
{
   RationalNumber divide;

   if ( d.numerator !=0 ) {  
      divide.numerator = numerator * d.denominator;
      divide.denominator = denominator * d.numerator;
      divide.reduction();
   }
   else {
      cout << "Divide by zero error: terminating program\n";
      exit( 1 );   
   }

   return divide;
}

bool RationalNumber::operator>(const RationalNumber &gr ) const
{
   if ( static_cast< double >( numerator ) / denominator > 
        static_cast< double >( gr.numerator ) / gr.denominator )
      return true;
   else
      return false;
}

bool RationalNumber::operator<(const RationalNumber &lr ) const
{
   return !(*this > lr);
}

bool RationalNumber::operator>=( 
   const RationalNumber &rat ) const
   { return *this == rat || *this > rat; }

bool RationalNumber::operator<=( 
   const RationalNumber &rat ) const
   {  return *this == rat || *this < rat;}

bool RationalNumber::operator==( 
   const RationalNumber &rat ) const
{       if (numerator == rat.numerator &&
	    denominator == rat.denominator)
		return true;
		else 
		return false;
		}

bool RationalNumber::operator!=( 
   const RationalNumber &rat ) const
{
	return !(*this == rat);
}

void RationalNumber::printRational( void ) const
{
   if ( numerator == 0 )         // Fraction as zero
      cout << numerator;
   else if ( denominator == 1 )  // Fraction as integer
      cout << numerator;
   else
      cout << numerator << '/' << denominator;
}

void RationalNumber::reduction( void )
{
   int smallest, gcd = 1;  // GCD

   smallest = ( numerator < denominator ) ? numerator 
      : denominator;

   for ( int loop = 2; loop <= smallest; ++loop )
       if ( numerator % loop == 0 && denominator % loop == 0 )
          gcd = loop;

   numerator /= gcd;
   denominator /= gcd;
}