#ifndef __FRACTION_H__
#define __FRACTION_H__

#include <iostream.h>

class Fraction {
public:
  // initialize the fraction to NaN
  Fraction();
  // initialize the fraction to i
  Fraction(int i); 
  // initialize the fraction to numerator/denominator
  Fraction(int numerator, int denominator); 

  Fraction operator+(Fraction rhs);
  Fraction operator-(Fraction rhs);
  Fraction operator*(Fraction rhs);
  Fraction operator/(Fraction rhs);
  // unary - operator
  Fraction operator-();
  bool operator==(Fraction rhs);

  // return true iff the fraction is Not a Number
  bool NaN();
  // return true iff the fraction is positive infinity
  bool Inf();
  // return true iff the fraction is negative infinity
  bool NegInf();

  // print the fraction as <numerator>/<denominator> to the stream os
  // the fraction must be in lowest terms, and the denominator must not 
  // be negative
  void print(ostream& os);

  // fill the buffer buf with the decimal value of the fraction to as 
  // high a precision as possible without exceeding length len-1
  // return false if len did not allow sufficient room to represent 
  // NaN, Inf, or -Inf, or the number prior to the decimal point
  bool expand(char buf[], int len);

  // return the double best approximating the value of the fraction
  double toDouble();

private:
  bool isNeg();
  int num;
  int den;
};

ostream& operator<<(ostream& os, Fraction f);

extern const Fraction NAN;
extern const Fraction INF;
extern const Fraction NEGINF;


#endif