Wrapper for GMP type mpq_class.We wrap mpq_class so that we can replace it by a double type if GMP is not available. More...

#include <rational.h>

Classes
class	Private
	Defines the "Pimpl"-class Private. More...

Public Member Functions

	operator double () const
	typecasts Rational to double (only allows explicit typecasting)

	operator long double () const
	typecasts Rational to long double (only allows explicit typecasting)


Rational	operator+ (const Rational &r) const
	addition operator

Rational &	operator+= (const Rational &r)
	addition assignment operator

Rational	operator+ (const double &r) const
	addition operator for doubles

Rational &	operator+= (const double &r)
	addition assignment operator for doubles

Rational	operator+ (const int &r) const
	addition operator for ints

Rational &	operator+= (const int &r)
	addition assignment operator for ints

Rational	operator- (const Rational &r) const
	subtraction operator

Rational &	operator-= (const Rational &r)
	subtraction assignment operator

Rational	operator- (const double &r) const
	subtraction operator for doubles

Rational &	operator-= (const double &r)
	subtraction assignment operator for doubles

Rational	operator- (const int &r) const
	subtraction operator for ints

Rational &	operator-= (const int &r)
	subtraction assignment operator for ints

Rational	operator* (const Rational &r) const
	multiplication operator

Rational &	operator*= (const Rational &r)
	multiplication assignment operator operator

Rational	operator* (const double &r) const
	multiplication operator for doubles

Rational &	operator*= (const double &r)
	multiplication assignment operator for doubles

Rational	operator* (const int &r) const
	multiplication operator for ints

Rational &	operator*= (const int &r)
	multiplication assignment operator for ints

Rational	operator/ (const Rational &r) const
	division operator

Rational &	operator/= (const Rational &r)
	division assignment operator

Rational	operator/ (const double &r) const
	division operator for doubles

Rational &	operator/= (const double &r)
	division assignment operator for doubles

Rational	operator/ (const int &r) const
	division operator for ints

Rational &	operator/= (const int &r)
	division assignment operator for ints

Rational &	addProduct (const Rational &r, const Rational &s)
	add product of two rationals

Rational &	subProduct (const Rational &r, const Rational &s)
	subtract product of two rationals

Rational &	addQuotient (const Rational &r, const Rational &s)
	add quotient of two rationals, r divided by s

Rational &	subQuotient (const Rational &r, const Rational &s)
	subtract quotient of two rationals, r divided by s

Rational &	invert ()
	inversion

Rational &	powRound ()
	round up to next power of two


bool	isNextTo (const double &d)
	checks if `d` is the closest number that can be represented by double

bool	isAdjacentTo (const double &d) const
	checks if `d` is exactly equal to the Rational and if not, if it is one of the two adjacent doubles


int	sizeInBase (const int base=2) const
	Size in specified base (bit size for base 2)

Static Public Member Functions

static int	precision ()
	returns precision of Rational implementation, i.e., number of bits used to store Rational numbers (INT_MAX if exact)

Static Public Attributes

static const Rational	ZERO
	rational zero

static const Rational	POSONE
	rational plus one

static const Rational	NEGONE
	rational minus one

Private Member Functions
	Rational (const int &i, const bool &dummy)
	special constructor only for initializing static rational variables; this is necessary since we need a constructor for Rational::{ZERO, POSONE, NEGONE} that does not use these numbers

Private Attributes
Private *	dpointer

Static Private Attributes
static IdList< Private >	unusedPrivateList

static bool	useListMem

Friends

int	compareRational (const Rational &r, const Rational &s)
	comparison operator returning a positive value if r > s, zero if r = s, and a negative value if r < s

bool	operator!= (const Rational &r, const Rational &s)
	inequality operator

bool	operator== (const Rational &r, const Rational &s)
	equality operator

bool	operator< (const Rational &r, const Rational &s)
	less than operator

bool	operator<= (const Rational &r, const Rational &s)
	less than or equal to operator

bool	operator> (const Rational &r, const Rational &s)
	greater than operator

bool	operator>= (const Rational &r, const Rational &s)
	greater than or equal to operator

bool	operator!= (const Rational &r, const double &s)
	inequality operator for Rational and double

bool	operator== (const Rational &r, const double &s)
	equality operator for Rational and double

bool	operator< (const Rational &r, const double &s)
	less than operator for Rational and double

bool	operator<= (const Rational &r, const double &s)
	less than or equal to operator for Rational and double

bool	operator> (const Rational &r, const double &s)
	greater than operator for Rational and double

bool	operator>= (const Rational &r, const double &s)
	greater than or equal to operator for Rational and double

bool	operator!= (const double &r, const Rational &s)
	inequality operator double and Rational

bool	operator== (const double &r, const Rational &s)
	equality operator for double and Rational

bool	operator< (const double &r, const Rational &s)
	less than operator double and Rational

bool	operator<= (const double &r, const Rational &s)
	less than or equal to operator double and Rational

bool	operator> (const double &r, const Rational &s)
	greater than operator double and Rational

bool	operator>= (const double &r, const Rational &s)
	greater than or equal to operator double and Rational

bool	operator!= (const Rational &r, const long double &s)
	inequality operator for Rational and long double

bool	operator== (const Rational &r, const long double &s)
	equality operator for Rational and long double

bool	operator< (const Rational &r, const long double &s)
	less than operator for Rational and long double

bool	operator<= (const Rational &r, const long double &s)
	less than or equal to operator for Rational and long double

bool	operator> (const Rational &r, const long double &s)
	greater than operator for Rational and long double

bool	operator>= (const Rational &r, const long double &s)
	greater than or equal to operator for Rational and long double

bool	operator!= (const long double &r, const Rational &s)
	inequality operator long double and Rational

bool	operator== (const long double &r, const Rational &s)
	equality operator for long double and Rational

bool	operator< (const long double &r, const Rational &s)
	less than operator long double and Rational

bool	operator<= (const long double &r, const Rational &s)
	less than or equal to operator long double and Rational

bool	operator> (const long double &r, const Rational &s)
	greater than operator long double and Rational

bool	operator>= (const long double &r, const Rational &s)
	greater than or equal to operator long double and Rational

Rational	operator+ (const double &d, const Rational &r)
	addition operator for double and Rational

Rational	operator- (const double &d, const Rational &r)
	subtraction operator for double and Rational

Rational	operator* (const double &d, const Rational &r)
	multiplication operator for double and Rational

Rational	operator/ (const double &d, const Rational &r)
	division operator for double and Rational

bool	operator!= (const Rational &r, const int &s)
	inequality operator for Rational and int

bool	operator== (const Rational &r, const int &s)
	equality operator for Rational and int

bool	operator< (const Rational &r, const int &s)
	less than operator for Rational and int

bool	operator<= (const Rational &r, const int &s)
	less than or equal to operator for Rational and int

bool	operator> (const Rational &r, const int &s)
	greater than operator for Rational and int

bool	operator>= (const Rational &r, const int &s)
	greater than or equal to operator for Rational and int

bool	operator!= (const int &r, const Rational &s)
	inequality operator for int and Rational

bool	operator== (const int &r, const Rational &s)
	equality operator for int and Rational

bool	operator< (const int &r, const Rational &s)
	less than operator for int and Rational

bool	operator<= (const int &r, const Rational &s)
	less than or equal to operator for int and Rational

bool	operator> (const int &r, const Rational &s)
	greater than operator for int and Rational

bool	operator>= (const int &r, const Rational &s)
	greater than or equal to operator for int and Rational

Rational	operator+ (const int &d, const Rational &r)
	addition operator for int and Rational

Rational	operator- (const int &d, const Rational &r)
	subtraction operator for int and Rational

Rational	operator* (const int &d, const Rational &r)
	multiplication operator for int and Rational

Rational	operator/ (const int &d, const Rational &r)
	division operator for int and Rational

Rational	spxAbs (const Rational &r)
	Absolute.

int	sign (const Rational &r)
	Sign function; returns 1 if r > 0, 0 if r = 0, and -1 if r < 0.

Rational	operator- (const Rational &q)
	Negation.

	Rational ()
	default constructor

	Rational (const Rational &r)
	copy constructor

	Rational (const long double &r)
	constructor from long double

	Rational (const double &r)
	constructor from double

	Rational (const int &i)
	constructor from int

	~Rational ()
	destructor

Rational &	operator= (const Rational &)
	assignment operator

Rational &	operator= (const long double &r)
	assignment operator from long double

Rational &	operator= (const double &r)
	assignment operator from double

Rational &	operator= (const int &i)
	assignment operator from int

static void	enableListMem ()
	enables list memory

static void	freeListMem ()
	frees the unused rational elements in the memory list

static void	disableListMem ()
	disables list memory

bool	readString (const char *s)
	read Rational from string

std::string	rationalToString (const Rational &r, const int precision)
	convert rational number to string

bool	readStringRational (const char *s, Rational &value)
	read Rational from string

std::ostream &	operator<< (std::ostream &os, const Rational &q)
	print Rational

Detailed Description

Wrapper for GMP type mpq_class.

We wrap mpq_class so that we can replace it by a double type if GMP is not available.

If compiled with GMP support, Rational is defined as mpq_class.

Definition at line 45 of file rational.h.

Constructor & Destructor Documentation

Rational	(	const int &	i,
		const bool &	dummy
	)

private

special constructor only for initializing static rational variables; this is necessary since we need a constructor for Rational::{ZERO, POSONE, NEGONE} that does not use these numbers

Definition at line 2994 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

Rational ( )

default constructor

Definition at line 3005 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

Rational ( const Rational & r )

copy constructor

Definition at line 3015 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

Rational ( const long double & r )

constructor from long double

Definition at line 3025 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

Rational ( const double & r )

constructor from double

Definition at line 3035 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

Rational ( const int & i )

constructor from int

Definition at line 3045 of file rational.cpp.

References Rational::dpointer, and soplex::spx_alloc().

~Rational ( )

destructor

Definition at line 3055 of file rational.cpp.

References Rational::dpointer, and soplex::spx_free().

Member Function Documentation

Rational & addProduct	(	const Rational &	r,
		const Rational &	s
	)

add product of two rationals

Definition at line 3372 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Referenced by SoPlex::_computeInfeasBox().

Rational & addQuotient	(	const Rational &	r,
		const Rational &	s
	)

add quotient of two rationals, r divided by s

Definition at line 3390 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

void disableListMem ( )

static

disables list memory

Definition at line 3083 of file rational.cpp.

Referenced by main().

void enableListMem ( )

static

enables list memory

Definition at line 3063 of file rational.cpp.

void freeListMem ( )

static

frees the unused rational elements in the memory list

this can be useful when you want to save memory or needed when working with a GMP memory manager like the one in EGlib that frees GMP memory before the destructor of the static memory list is called; in most cases this method is optional; note that this does not free the Rational elements that are currently in use

Definition at line 3075 of file rational.cpp.

Rational & invert ( )

inversion

Definition at line 3408 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Referenced by SoPlex::_performOptIRStable().

bool isAdjacentTo ( const double & d ) const

checks if d is exactly equal to the Rational and if not, if it is one of the two adjacent doubles

checks if d is exactly equal to the Rational and if not, if it is one of the two adjacent doubles

Definition at line 3434 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

bool isNextTo ( const double & d )

checks if d is the closest number that can be represented by double

checks if d is the closest possible double

Definition at line 3426 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

operator double ( ) const

explicit

typecasts Rational to double (only allows explicit typecasting)

typecasts Rational to double (allows only explicit typecast)

Definition at line 3127 of file rational.cpp.

References Rational::Private::privatevalue.

operator long double ( ) const

explicit

typecasts Rational to long double (only allows explicit typecasting)

typecasts Rational to long double (allows only explicit typecast)

Definition at line 3135 of file rational.cpp.

Rational operator* ( const Rational & r ) const

multiplication operator

Definition at line 3258 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator* ( const double & r ) const

multiplication operator for doubles

Definition at line 3277 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator* ( const int & r ) const

multiplication operator for ints

Definition at line 3296 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator*= ( const Rational & r )

multiplication assignment operator operator

multiplication assignment operator

Definition at line 3268 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator*= ( const double & r )

multiplication assignment operator for doubles

Definition at line 3287 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator*= ( const int & r )

multiplication assignment operator for ints

Definition at line 3306 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator+ ( const Rational & r ) const

addition operator

Definition at line 3144 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator+ ( const double & r ) const

addition operator for doubles

Definition at line 3163 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator+ ( const int & r ) const

addition operator for ints

Definition at line 3182 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator+= ( const Rational & r )

addition assignment operator

Definition at line 3154 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator+= ( const double & r )

addition assignment operator for doubles

Definition at line 3173 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator+= ( const int & r )

addition assignment operator for ints

Definition at line 3192 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator- ( const Rational & r ) const

subtraction operator

Definition at line 3201 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator- ( const double & r ) const

subtraction operator for doubles

Definition at line 3220 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator- ( const int & r ) const

subtraction operator for ints

Definition at line 3239 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator-= ( const Rational & r )

subtraction assignment operator

Definition at line 3211 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator-= ( const double & r )

subtraction assignment operator for doubles

Definition at line 3230 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator-= ( const int & r )

subtraction assignment operator for ints

Definition at line 3249 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator/ ( const Rational & r ) const

division operator

Definition at line 3315 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator/ ( const double & r ) const

division operator for doubles

Definition at line 3334 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational operator/ ( const int & r ) const

division operator for ints

Definition at line 3353 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator/= ( const Rational & r )

division assignment operator

Definition at line 3325 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator/= ( const double & r )

division assignment operator for doubles

Definition at line 3344 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator/= ( const int & r )

division assignment operator for ints

Definition at line 3363 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Rational & operator= ( const Rational & r )

assignment operator

Definition at line 3091 of file rational.cpp.

References Rational::dpointer.

Rational & operator= ( const long double & r )

assignment operator from long double

Definition at line 3100 of file rational.cpp.

References Rational::dpointer.

Rational & operator= ( const double & r )

assignment operator from double

Definition at line 3109 of file rational.cpp.

References Rational::dpointer.

Rational & operator= ( const int & i )

assignment operator from int

Definition at line 3118 of file rational.cpp.

References Rational::dpointer.

Rational & powRound ( )

round up to next power of two

Todo:: implement

Definition at line 3417 of file rational.cpp.

Referenced by SoPlex::_performOptIRStable().

int precision ( )

static

returns precision of Rational implementation, i.e., number of bits used to store Rational numbers (INT_MAX if exact)

Definition at line 3451 of file rational.cpp.

Referenced by Rational::sizeInBase().

bool readString ( const char * s )

read Rational from string

Definition at line 3459 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Referenced by soplex::LPFreadValue(), soplex::MPSreadBounds(), soplex::MPSreadCols(), soplex::MPSreadRanges(), and soplex::MPSreadRhs().

int sizeInBase ( const int base = 2 ) const

Size in specified base (bit size for base 2)

Todo:: this is only correct for base 2

Definition at line 3442 of file rational.cpp.

References Rational::precision().

Rational & subProduct	(	const Rational &	r,
		const Rational &	s
	)

subtract product of two rationals

Definition at line 3381 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Referenced by SoPlex::_computeInfeasBox().

Rational & subQuotient	(	const Rational &	r,
		const Rational &	s
	)

subtract quotient of two rationals, r divided by s

Definition at line 3399 of file rational.cpp.

References Rational::dpointer, and Rational::Private::privatevalue.

Friends And Related Function Documentation

int compareRational	(	const Rational &	r,
		const Rational &	s
	)

friend

comparison operator returning a positive value if r > s, zero if r = s, and a negative value if r < s

Definition at line 3495 of file rational.cpp.

bool operator!=	(	const Rational &	r,
		const Rational &	s
	)

friend

inequality operator

Definition at line 3516 of file rational.cpp.

bool operator!=	(	const Rational &	r,
		const double &	s
	)

friend

inequality operator for Rational and double

Definition at line 3565 of file rational.cpp.

bool operator!=	(	const double &	r,
		const Rational &	s
	)

friend

inequality operator double and Rational

inequality operator for double and Rational

Definition at line 3615 of file rational.cpp.

bool operator!=	(	const Rational &	r,
		const long double &	s
	)

friend

inequality operator for Rational and long double

Definition at line 3666 of file rational.cpp.

bool operator!=	(	const long double &	r,
		const Rational &	s
	)

friend

inequality operator long double and Rational

inequality operator for long double and Rational

Definition at line 3716 of file rational.cpp.

bool operator!=	(	const Rational &	r,
		const int &	s
	)

friend

inequality operator for Rational and int

Definition at line 3765 of file rational.cpp.

bool operator!=	(	const int &	r,
		const Rational &	s
	)

friend

inequality operator for int and Rational

Definition at line 3813 of file rational.cpp.

Rational operator*	(	const double &	d,
		const Rational &	r
	)

friend

multiplication operator for double and Rational

Definition at line 3873 of file rational.cpp.

Rational operator*	(	const int &	d,
		const Rational &	r
	)

friend

multiplication operator for int and Rational

Definition at line 3909 of file rational.cpp.

Rational operator+	(	const double &	d,
		const Rational &	r
	)

friend

addition operator for double and Rational

Definition at line 3853 of file rational.cpp.

Rational operator+	(	const int &	d,
		const Rational &	r
	)

friend

addition operator for int and Rational

Definition at line 3893 of file rational.cpp.

Rational operator-	(	const double &	d,
		const Rational &	r
	)

friend

subtraction operator for double and Rational

Definition at line 3863 of file rational.cpp.

Rational operator-	(	const int &	d,
		const Rational &	r
	)

friend

subtraction operator for int and Rational

Definition at line 3901 of file rational.cpp.

Rational operator- ( const Rational & q )

friend

Negation.

Definition at line 3946 of file rational.cpp.

Rational operator/	(	const double &	d,
		const Rational &	r
	)

friend

division operator for double and Rational

Definition at line 3883 of file rational.cpp.

Rational operator/	(	const int &	d,
		const Rational &	r
	)

friend

division operator for int and Rational

Definition at line 3917 of file rational.cpp.

bool operator<	(	const Rational &	r,
		const Rational &	s
	)

friend

less than operator

Definition at line 3524 of file rational.cpp.

bool operator<	(	const Rational &	r,
		const double &	s
	)

friend

less than operator for Rational and double

Definition at line 3574 of file rational.cpp.

bool operator<	(	const double &	r,
		const Rational &	s
	)

friend

less than operator double and Rational

less than operator for double and Rational

Definition at line 3624 of file rational.cpp.

bool operator<	(	const Rational &	r,
		const long double &	s
	)

friend

less than operator for Rational and long double

Definition at line 3675 of file rational.cpp.

bool operator<	(	const long double &	r,
		const Rational &	s
	)

friend

less than operator long double and Rational

less than operator for long double and Rational

Definition at line 3725 of file rational.cpp.

bool operator<	(	const Rational &	r,
		const int &	s
	)

friend

less than operator for Rational and int

Definition at line 3773 of file rational.cpp.

bool operator<	(	const int &	r,
		const Rational &	s
	)

friend

less than operator for int and Rational

Definition at line 3821 of file rational.cpp.

std::ostream& operator<<	(	std::ostream &	os,
		const Rational &	q
	)

friend

print Rational

Definition at line 3486 of file rational.cpp.

bool operator<=	(	const Rational &	r,
		const Rational &	s
	)

friend

less than or equal to operator

Definition at line 3532 of file rational.cpp.

bool operator<=	(	const Rational &	r,
		const double &	s
	)

friend

less than or equal to operator for Rational and double

Definition at line 3582 of file rational.cpp.

bool operator<=	(	const double &	r,
		const Rational &	s
	)

friend

less than or equal to operator double and Rational

less than or equal to operator for double and Rational

Definition at line 3632 of file rational.cpp.

bool operator<=	(	const Rational &	r,
		const long double &	s
	)

friend

less than or equal to operator for Rational and long double

Definition at line 3683 of file rational.cpp.

bool operator<=	(	const long double &	r,
		const Rational &	s
	)

friend

less than or equal to operator long double and Rational

less than or equal to operator for long double and Rational

Definition at line 3733 of file rational.cpp.

bool operator<=	(	const Rational &	r,
		const int &	s
	)

friend

less than or equal to operator for Rational and int

Definition at line 3781 of file rational.cpp.

bool operator<=	(	const int &	r,
		const Rational &	s
	)

friend

less than or equal to operator for int and Rational

Definition at line 3829 of file rational.cpp.

bool operator==	(	const Rational &	r,
		const Rational &	s
	)

friend

equality operator

Definition at line 3508 of file rational.cpp.

bool operator==	(	const Rational &	r,
		const double &	s
	)

friend

equality operator for Rational and double

Definition at line 3556 of file rational.cpp.

bool operator==	(	const double &	r,
		const Rational &	s
	)

friend

equality operator for double and Rational

Definition at line 3606 of file rational.cpp.

bool operator==	(	const Rational &	r,
		const long double &	s
	)

friend

equality operator for Rational and long double

Definition at line 3657 of file rational.cpp.

bool operator==	(	const long double &	r,
		const Rational &	s
	)

friend

equality operator for long double and Rational

Definition at line 3707 of file rational.cpp.

bool operator==	(	const Rational &	r,
		const int &	s
	)

friend

equality operator for Rational and int

Definition at line 3757 of file rational.cpp.

bool operator==	(	const int &	r,
		const Rational &	s
	)

friend

equality operator for int and Rational

Definition at line 3805 of file rational.cpp.

bool operator>	(	const Rational &	r,
		const Rational &	s
	)

friend

greater than operator

Definition at line 3540 of file rational.cpp.

bool operator>	(	const Rational &	r,
		const double &	s
	)

friend

greater than operator for Rational and double

Definition at line 3590 of file rational.cpp.

bool operator>	(	const double &	r,
		const Rational &	s
	)

friend

greater than operator double and Rational

greater than operator for double and Rational

Definition at line 3640 of file rational.cpp.

bool operator>	(	const Rational &	r,
		const long double &	s
	)

friend

greater than operator for Rational and long double

Definition at line 3691 of file rational.cpp.

bool operator>	(	const long double &	r,
		const Rational &	s
	)

friend

greater than operator long double and Rational

greater than operator for long double and Rational

Definition at line 3741 of file rational.cpp.

bool operator>	(	const Rational &	r,
		const int &	s
	)

friend

greater than operator for Rational and int

Definition at line 3789 of file rational.cpp.

bool operator>	(	const int &	r,
		const Rational &	s
	)

friend

greater than operator for int and Rational

Definition at line 3837 of file rational.cpp.

bool operator>=	(	const Rational &	r,
		const Rational &	s
	)

friend

greater than or equal to operator

Definition at line 3548 of file rational.cpp.

bool operator>=	(	const Rational &	r,
		const double &	s
	)

friend

greater than or equal to operator for Rational and double

Definition at line 3598 of file rational.cpp.

bool operator>=	(	const double &	r,
		const Rational &	s
	)

friend

greater than or equal to operator double and Rational

greater than or equal to operator for double and Rational

Definition at line 3648 of file rational.cpp.

bool operator>=	(	const Rational &	r,
		const long double &	s
	)

friend

greater than or equal to operator for Rational and long double

Definition at line 3699 of file rational.cpp.

bool operator>=	(	const long double &	r,
		const Rational &	s
	)

friend

greater than or equal to operator long double and Rational

greater than or equal to operator for long double and Rational

Definition at line 3749 of file rational.cpp.

bool operator>=	(	const Rational &	r,
		const int &	s
	)

friend

greater than or equal to operator for Rational and int

Definition at line 3797 of file rational.cpp.

bool operator>=	(	const int &	r,
		const Rational &	s
	)

friend

greater than or equal to operator for int and Rational

Definition at line 3845 of file rational.cpp.

std::string rationalToString	(	const Rational &	r,
		const int	precision
	)

friend

convert rational number to string

Definition at line 3468 of file rational.cpp.

bool readStringRational	(	const char *	s,
		Rational &	value
	)

friend

read Rational from string

Definition at line 3478 of file rational.cpp.

int sign ( const Rational & r )

friend

Sign function; returns 1 if r > 0, 0 if r = 0, and -1 if r < 0.

Definition at line 3938 of file rational.cpp.

Rational spxAbs ( const Rational & r )

friend

Absolute.

absolute function

Definition at line 3925 of file rational.cpp.

Member Data Documentation

Private* dpointer

private

const Rational NEGONE

static

rational minus one

Definition at line 65 of file rational.h.

Referenced by SoPlex::_transformFeasibility().

const Rational POSONE

static

rational plus one

Definition at line 64 of file rational.h.

Referenced by SoPlex::_performFeasIRStable(), SoPlex::_performOptIRStable(), SoPlex::_performUnboundedIRStable(), SoPlex::_transformFeasibility(), and SoPlex::_untransformUnbounded().

IdList< Private > unusedPrivateList

staticprivate

Definition at line 51 of file rational.h.

bool useListMem

staticprivate

Definition at line 52 of file rational.h.

const Rational ZERO

static

rational zero

Definition at line 63 of file rational.h.

Referenced by SoPlex::_transformEquality(), and SoPlex::objValueRational().

SoPlex

Classes

Public Member Functions

Static Public Member Functions

Static Public Attributes

Private Member Functions

Private Attributes

Static Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation