TRationalNumber< IntType > Class Template Reference [Semiring]

Rational numbers class. More...

List of all members.

Public Member Functions
Standart constructors.
Default constructor.
	TRationalNumber ()
	Constructor define numerator. Denominator set at 1.
	TRationalNumber (const IntType num)
	Constructor define numerator. Denominator set at 1.
	TRationalNumber (const IntType num, const IntType den)
	Constructor define numerator and denominator.
	TRationalNumber (const TRationalNumber< IntType > &nb)
	Copy Constructor.
	~TRationalNumber ()
	Constructor define numerator. Denominator set at 1.
Setters
Set the numerator and the denominator.
TRationalNumber &	set (const IntType num, const IntType den=1)
Accessors
Get the numerator.
IntType	num_get () const
	Get the denominator.
IntType	den_get () const
	Get the denominator.
std::ostream &	print (std::ostream &ostr) const
	Printing method.
Usual Operator
Usual Arithemetics Operator.
TRationalNumber< IntType >	operator+ (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
TRationalNumber< IntType >	operator- (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
TRationalNumber< IntType >	operator- () const
	Usual Boolean Opertor.
TRationalNumber< IntType >	operator* (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
TRationalNumber< IntType >	operator/ (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
TRationalNumber< IntType > &	operator+= (const TRationalNumber< IntType > &nb)
	Usual Boolean Opertor.
TRationalNumber< IntType > &	operator-= (const TRationalNumber< IntType > &nb)
	Usual Boolean Opertor.
TRationalNumber< IntType > &	operator*= (const TRationalNumber< IntType > &nb)
	Usual Boolean Opertor.
TRationalNumber< IntType > &	operator/= (const TRationalNumber< IntType > &nb)
	Usual Boolean Opertor.
bool	operator== (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
bool	operator!= (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
bool	operator< (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
bool	operator<= (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
bool	operator> (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
bool	operator>= (const TRationalNumber< IntType > &nb) const
	Usual Boolean Opertor.
Cast function
Implicit cast
	operator double () const
	Explecit cast.
IntType	to_integer () const
	Explecit cast.
float	to_float () const
	Explecit cast.
double	to_double () const
	Explecit cast.
Protected Member Functions
Fraction simplification
void	set_rational ()
	Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.
void	set_rational (const IntType num, const IntType den)
	Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.
void	set_unsafe_rational (const IntType num, const IntType den)
	Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.
Protected Attributes
TRationalNumber<IntType> attributs
Fraction's numerator.
IntType	num_
	Fraction's denominator.
IntType	den_
	Fraction's denominator.

---

Detailed Description

template<typename IntType>
class vcsn::algebra::TRationalNumber< IntType >

Rational numbers class.

Implementation of rational numbers

Constructors are able to product simplified rational number.

Operation maintain num_ and den_ coprime.

num_ and den_ are always coprime

Author:

David Moreira <david.moreira@epita.fr>

Definition at line 58 of file q_number.hh.

---

Member Function Documentation

void set_rational

(

)

[inline, protected]

Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.

Set the num_ and the den_ with the following property : gcd (num_, den_) = 1

Definition at line 303 of file q_number.hxx.

References TRationalNumber< IntType >::den_, and TRationalNumber< IntType >::num_.

Referenced by TRationalNumber< IntType >::operator+=(), TRationalNumber< IntType >::operator-=(), and TRationalNumber< IntType >::TRationalNumber().

void set_rational	(	const IntType	num,
		const IntType	den
	)			[inline, protected]

Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.

Set the num_ and the den_ with the following property : gcd (num_, den_) = 1

Definition at line 279 of file q_number.hxx.

References TRationalNumber< IntType >::den_, vcsn::misc::gcd(), and TRationalNumber< IntType >::num_.

void set_unsafe_rational	(	const IntType	num,
		const IntType	den
	)			[inline, protected]

Simplifies the fraction Procedure set and simplifies the num_ and the den_ fraction.

Set the num_ and the den_ with the following property : gcd (num_, den_) = 1

Definition at line 290 of file q_number.hxx.

References TRationalNumber< IntType >::den_, vcsn::misc::is_coprime(), and TRationalNumber< IntType >::num_.

Referenced by TRationalNumber< IntType >::operator*=(), and TRationalNumber< IntType >::operator/=().