// 
// Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
//
// The contents of this file are covered under the licence agreement in the
// file "LICENCE" distributed with Cforall.
// 
// rational -- 
// 
// Author           : Peter A. Buhr
// Created On       : Wed Apr  6 17:56:25 2016
// Last Modified By : Peter A. Buhr
// Last Modified On : Wed Apr  6 21:51:42 2016
// Update Count     : 8
// 

#include <fstream>

struct Rational {
	long int numerator, denominator;					// invariant: denominator > 0
}; // Rational

extern struct Rational 0;
extern struct Rational 1;

long int gcd( long int a, long int b );
long int simplify( long int *n, long int *d );
Rational rational();									// constructor
Rational rational( long int n );						// constructor
Rational rational( long int n, long int d );			// constructor
long int numerator( Rational r );
long int numerator( Rational r, long int n );
long int denominator( Rational r, long int d );
int ?==?( Rational l, Rational r );
int ?!=?( Rational l, Rational r );
int ?<?( Rational l, Rational r );
int ?<=?( Rational l, Rational r );
int ?>?( Rational l, Rational r );
int ?>=?( Rational l, Rational r );
Rational -?( Rational r );
Rational ?+?( Rational l, Rational r );
Rational ?-?( Rational l, Rational r );
Rational ?*?( Rational l, Rational r );
Rational ?/?( Rational l, Rational r );
double widen( Rational r );
Rational narrow( double f, long int md );
ifstream * ?|?( ifstream *is, Rational *r );
ofstream * ?|?( ofstream *os, Rational r );

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