synaps/arithm/Rational.h File Reference

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Detailed Description

Generic class for Rational numbers We define a general class for Rational numbers. We can use this class if we have a number type that does not have a field number type, for example int.

Definition in file Rational.h.

Go to the source code of this file.

Namespaces
namespace	arithm
namespace	let
Classes
class	Rational< NT_ >
	Generic rational arithmetic class. More...
struct	arithm::isfield_< Rational< X > >
Functions
template<class C>
bool	adjust_denum (const C &x)
template<typename NT>
int	quotient_cmp (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
int	compare (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
std::ostream &	operator<< (std::ostream &s, const Rational< NT > &r)
template<typename NT>
Rational< NT >	operator+ (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator- (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator * (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator/ (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator- (const Rational< NT > &x)
template<typename NT>
Rational< NT >	operator+ (const NT &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator+ (const Rational< NT > &x, const NT &y)
template<typename NT>
Rational< NT >	operator- (const NT &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator- (const Rational< NT > &x, const NT &y)
template<typename NT>
Rational< NT >	operator * (const NT &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator * (const Rational< NT > &x, const NT &y)
template<typename NT>
Rational< NT >	operator/ (const NT &x, const Rational< NT > &y)
template<typename NT>
Rational< NT >	operator/ (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator== (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator== (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator== (const NT &x, const Rational< NT > &y)
template<typename NT>
bool	operator!= (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator!= (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator!= (const NT &x, const Rational< NT > &y)
template<typename NT>
bool	operator< (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator< (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator< (const NT &x, const Rational< NT > &y)
template<typename NT>
bool	operator> (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator> (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator> (const NT &x, const Rational< NT > &y)
template<typename NT>
bool	operator<= (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator<= (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator<= (const NT &x, const Rational< NT > &y)
template<typename NT>
bool	operator>= (const Rational< NT > &x, const Rational< NT > &y)
template<typename NT>
bool	operator>= (const Rational< NT > &x, const NT &y)
template<typename NT>
bool	operator>= (const NT &x, const Rational< NT > &y)
template<typename NT>
double	to_double (const Rational< NT > &q)
template<typename NT>
const NT &	denominator (const Rational< NT > &q)
template<typename NT>
const NT &	numerator (const Rational< NT > &q)
template<typename T, typename S>
void	let::assign (T &a, const Rational< S > &x)
template<typename T>
void	let::assign (Rational< T > &a, const T &x)
void	let::assign (double &a, const Rational< double > &x)