// Lab3 Ans: Expected Outputs
//   1/3 + 3/4 = 13/12
//   1/3 - 3/4 = -5/12
//   1/3 * 3/4 = 3/12
//   1/3 / 3/4 = 4/9
//   1/3 < 3/4 ? 1
#include <iostream.h>
class Fraction {
  private:
     int numer;
     int denom;
  public:
     Fraction() { numer = 0; denom = 1; }
     Fraction(int n, int d) { numer = n; denom = d; }

     friend istream& operator >> (istream& ins, Fraction& target)
     // BC 5.1 and MS Visual C++ works fine             ^
     // Borland C++ Builder 4:                   Remove |
     {   cout << "Enter numerator and denominator for a fraction: ";
         ins >> target.numer >> target.denom;
         return ins;
     }
     friend ostream& operator << (ostream& outs, Fraction& source)
     {   outs << source.numer << "/";
         outs << source.denom;
         return outs;
     }
     Fraction add(Fraction);
     Fraction operator + (Fraction); // notice that this is mf
     friend Fraction operator - (Fraction, Fraction);
     friend Fraction operator * (Fraction, Fraction);
     friend Fraction operator / (Fraction, Fraction);
     friend bool operator < (Fraction, Fraction);
};

Fraction Fraction::add(Fraction given)
{ Fraction temp;
  temp.numer = numer*given.denom + denom*given.numer;
  temp.denom = denom*given.denom;
  return temp;
}

Fraction Fraction::operator + (Fraction fr)  // one line body please!
{ return add(fr);
}

Fraction operator - (Fraction f1, Fraction f2)
{ Fraction temp;
  temp.numer = f1.numer*f2.denom - f1.denom*f2.numer;
  temp.denom = f1.denom*f2.denom;
  return temp;
}

Fraction operator * (Fraction f1, Fraction f2)
{ Fraction temp;
  temp.numer = f1.numer*f2.numer;
  temp.denom = f1.denom*f2.denom;
  return temp;
}

Fraction operator / (Fraction f1, Fraction f2)
{ Fraction temp;
  temp.numer = f1.numer*f2.denom;
  temp.denom = f1.denom*f2.numer;
  return temp;
}

bool operator < (Fraction f1, Fraction f2) // less than
{ double t1 = /* (double) */ f1.numer / f1.denom;  // need cast
  double t2 = /* (double) */ f2.numer / f2.denom;  // need cast
  return (t1 < t2);
}

void main ()
{   Fraction frac1(1,3), frac2(3,4);
    cout << frac1 << " + " << frac2 << " = " << (frac1 + frac2) << endl;
    cout << frac1 << " - " << frac2 << " = " << (frac1 - frac2) << endl;
    cout << frac1 << " * " << frac2 << " = " << (frac1 * frac2) << endl;
    cout << frac1 << " / " << frac2 << " = " << (frac1 / frac2) << endl;
    cout << frac1 << " < " << frac2 << " ? " << (frac1 < frac2) << endl;
}