// 
// 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 -- Rational numbers are numbers written as a ratio, i.e., as a fraction, where the numerator (top number)
//     and the denominator (bottom number) are whole numbers. When creating and computing with rational numbers, results
//     are constantly reduced to keep the numerator and denominator as small as possible.
// 
// Author           : Peter A. Buhr
// Created On       : Wed Apr  6 17:56:25 2016
// Last Modified By : Peter A. Buhr
// Last Modified On : Fri Apr  8 11:38:27 2016
// Update Count     : 15
// 

#include "iostream"

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

// constants
extern struct Rational 0;
extern struct Rational 1;

// constructors
Rational rational();
Rational rational( long int n );
Rational rational( long int n, long int d );

// getter/setter for numerator/denominator
long int numerator( Rational r );
long int numerator( Rational r, long int n );
long int denominator( Rational r );
long int denominator( Rational r, long int d );

// comparison
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 );

// arithmetic
Rational -?( Rational r );
Rational ?+?( Rational l, Rational r );
Rational ?-?( Rational l, Rational r );
Rational ?*?( Rational l, Rational r );
Rational ?/?( Rational l, Rational r );

// conversion
double widen( Rational r );
Rational narrow( double f, long int md );

// I/O
forall( dtype istype | istream( istype ) ) istype * ?|?( istype *, Rational * );
forall( dtype ostype | ostream( ostype ) ) ostype * ?|?( ostype *, Rational );

// Local Variables: //
// mode: c //
// tab-width: 4 //
// End: //