Rationals. No doc. More...

#include <givrational.h>

Collaboration diagram for Rational:

Public Types
enum	ReduceFlag { Reduce = 0x1, NoReduce = 0x0 }

Public Member Functions
	Rational (Neutral n=Neutral::zero)
	Rational (int n)
	Rational (long n)
	Rational (unsigned long n)
	Rational (long n, long d)
	Rational (unsigned long n, unsigned long d)
	Rational (double x)
	Rational (const char *s)
	Rational (const Integer &n)
	Rational (const Integer &n, const Integer &d, int red=1)
	Rational (const Integer &f, const Integer &m, const Integer &k, bool recurs=false)
	Rational number reconstruction.
	Rational (const Rational &)
Rational &	operator= (const Rational &)
Rational &	logcpy (const Rational &)
Rational &	copy (const Rational &)
Rational	operator+ (const Rational &r) const
Rational	operator- (const Rational &r) const
Rational	operator- () const
Rational	operator+ () const
Rational	operator* (const Rational &r) const
Rational	operator/ (const Rational &r) const
Rational &	operator+= (const Rational &r)
Rational &	operator-= (const Rational &r)
Rational &	operator*= (const Rational &r)
Rational &	operator/= (const Rational &r)
Integer	operator% (const Integer &r) const
const Integer	nume () const
const Integer	deno () const
std::ostream &	print (std::ostream &o) const
Rational	reduce (const Rational &R) const
	operator short () const
	operator unsigned short () const
	operator unsigned char () const
	operator unsigned int () const
	operator int () const
	operator signed char () const
	operator unsigned long () const
	operator long () const
	operator unsigned long long () const
	operator long long () const
	operator std::string () const
	operator float () const
	operator double () const
	Rational (givNoInit)

Static Public Member Functions
static void	SetReduce ()
static void	SetNoReduce ()

Static Public Attributes
static const Rational	zero
static const Rational	one
static const Rational	mOne
static GivModule	Module

Protected Member Functions
Rational &	reduce ()
bool	ratrecon (const Integer &f, const Integer &m, const Integer &k, bool recurs=false)

Static Protected Member Functions
static void	Init (int argc, char **argv)
static void	End ()

Protected Attributes
Integer	num
Integer	den

Static Protected Attributes
static ReduceFlag	flags = Rational::Reduce

Friends
class	GivModule
class	RationalDom
int	compare (const Rational &a, const Rational &b)
int	absCompare (const Rational &a, const Rational &b)
const Rational	pow (const Rational &r, const long l)
const Integer	floor (const Rational &r)
const Integer	ceil (const Rational &r)
const Integer	round (const Rational &r)
const Integer	trunc (const Rational &r)
const Rational	abs (const Rational &r)
const Rational	pow (const Rational &n, unsigned int l)
const Rational	pow (const Rational &n, unsigned long l)
unsigned long	length (const Rational &r)
int	sign (const Rational &r)
int	isZero (const Rational &r)
int	isOne (const Rational &r)
int	isInteger (const Rational &r)

Detailed Description

Rationals. No doc.

Examples:: examples/Rational/iratrecon.C.

Member Enumeration Documentation

enum ReduceFlag

Enumerator:

Reduce
NoReduce

Constructor & Destructor Documentation

Rational ( Neutral n = Neutral::zero )

Rational ( int n )

Rational ( long n )

Rational ( unsigned long n )

Rational	(	long	n,
		long	d
	)

Rational	(	unsigned long	n,
		unsigned long	d
	)

Rational ( double x )

Rational ( const char * s )

Rational ( const Integer & n )

Rational	(	const Integer &	n,
		const Integer &	d,
		int	red = `1`
	)

Rational	(	const Integer &	f,
		const Integer &	m,
		const Integer &	k,
		bool	recurs = `false`
	)

Rational number reconstruction.

$num/den \equiv f \mod m$ , with $|num|<k$ and $0 < |den| \leq f/kf$

Bibliography:

von zur Gathen & Gerhard Modern Computer Algebra, 5.10, Cambridge Univ. Press 1999]

Rational ( const Rational & r )

Rational ( givNoInit )

Member Function Documentation

Rational & operator= ( const Rational & r )

Rational & logcpy ( const Rational & r )

Rational & copy ( const Rational & r )

Rational operator+ ( const Rational & r ) const

Rational operator- ( const Rational & r ) const

Rational operator- ( ) const

Rational operator+ ( ) const

inline

Rational operator* ( const Rational & r ) const

Rational operator/ ( const Rational & r ) const

Rational & operator+= ( const Rational & r )

Rational & operator-= ( const Rational & r )

Rational & operator*= ( const Rational & r )

Rational & operator/= ( const Rational & r )

Integer operator% ( const Integer & r ) const

const Integer nume ( ) const

inline

Examples:: examples/Rational/iratrecon.C.

const Integer deno ( ) const

inline

Examples:: examples/Rational/iratrecon.C.

std::ostream & print ( std::ostream & o ) const

Rational reduce ( const Rational & R ) const

inline

void SetReduce ( )

static

void SetNoReduce ( )

static

Examples:: examples/Rational/polydouble.C.

operator short ( ) const

inline

operator unsigned short ( ) const

inline

operator unsigned char ( ) const

inline

operator unsigned int ( ) const

inline

operator int ( ) const

inline

operator signed char ( ) const

inline

operator unsigned long ( ) const

inline

operator long ( ) const

inline

operator unsigned long long ( ) const

inline

operator long long ( ) const

inline

operator std::string ( ) const

inline

operator float ( ) const

inline

operator double ( ) const

inline

Rational & reduce ( )

protected

void Init	(	int *	argc,
		char ***	argv
	)

staticprotected

void End ( )

staticprotected

bool ratrecon	(	const Integer &	f,
		const Integer &	m,
		const Integer &	k,
		bool	recurs = `false`
	)

protected

Friends And Related Function Documentation

friend class GivModule

friend

friend class RationalDom

friend

int compare	(	const Rational &	a,
		const Rational &	b
	)

friend

int absCompare	(	const Rational &	a,
		const Rational &	b
	)

friend

const Rational pow	(	const Rational &	r,
		const long	l
	)

friend

const Integer floor ( const Rational & r )

friend

const Integer ceil ( const Rational & r )

friend

const Integer round ( const Rational & r )

friend

const Integer trunc ( const Rational & r )

friend

const Rational abs ( const Rational & r )

friend

const Rational pow	(	const Rational &	n,
		unsigned int	l
	)

friend

const Rational pow	(	const Rational &	n,
		unsigned long	l
	)

friend

unsigned long length ( const Rational & r )

friend

int sign ( const Rational & r )

friend

int isZero ( const Rational & r )

friend

int isOne ( const Rational & r )

friend

int isInteger ( const Rational & r )

friend

Field Documentation

const Rational zero

static

const Rational one

static

const Rational mOne

static

Integer num

protected

Integer den

protected

Rational::ReduceFlag flags = Rational::Reduce

staticprotected

GivModule Module

static

The documentation for this class was generated from the following files:

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Friends

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Field Documentation