Rational Class Reference

#include <givrational.h>

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)
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 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

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.

, with and

Bibliography:

See [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

)

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
	)		[static, protected]

void End

(

)

[static, protected]

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]

Integer num [protected]

Integer den [protected]

Rational::ReduceFlag flags = Rational::Reduce [static, protected]

GivModule Module [static]

---

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

• givrational.h
• givrataddsub.C
• givratcpy.C
• givratcstor.C
• givratio.C
• givratmisc.C
• givratmuldiv.C
• givratreconstruct.C