Program Listing for File Rational.h

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/*--------------------------------------------------------------------------*/
/*---------------------------- File Rational.h -----------------------------*/
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/*----------------------------- DEFINITIONS --------------------------------*/
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#ifndef __ADS_Rational
 #define __ADS_Rational
                      /* self-identification: #endif constant */

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/*------------------------------ INCLUDES ----------------------------------*/
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#include "ADS/Contract.h"
#include "ADS/numeric/BigInteger.h"

#include <compare>
#include <string>
#include <utility>

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/*--------------------------- NAMESPACE ------------------------------------*/
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namespace ADS {

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/*---------------------------- CLASS Rational ------------------------------*/
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class Rational {

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 public:

 Rational( BigInteger num = 0 , BigInteger den = 1 );

 [[nodiscard]] const BigInteger & num( void ) const { return( f_num ); }
 [[nodiscard]] const BigInteger & den( void ) const { return( f_den ); }

 [[nodiscard]] std::string toString( void ) const;

 friend Rational operator+( const Rational & a , const Rational & b );
 friend Rational operator-( const Rational & a , const Rational & b );
 friend Rational operator*( const Rational & a , const Rational & b );

 friend Rational operator/( const Rational & a , const Rational & b );

 Rational operator-( void ) const;

 friend bool operator==( const Rational & a , const Rational & b ) = default;
 friend std::strong_ordering operator<=>( const Rational & a ,
                                          const Rational & b );

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 private:

 struct Reduced {};

 Rational( BigInteger num , BigInteger den , Reduced );

 [[nodiscard]] bool lowest( void ) const;

 BigInteger f_num , f_den;

 };  // end( class Rational )

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}  // end( namespace ADS )

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/*-------------------------- IMPLEMENTATION --------------------------------*/
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#include "ADS/numeric/impl/Rational.tpp"

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#endif  /* Rational.h included */

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/*-------------------------- End File Rational.h ---------------------------*/
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