Classes
class	MpPrecision
	Wrapper for mpfr precision type. More...

class	MpReal
	MpReal represents multiple precision real number with controlled rounding. More...

Typedefs
typedef mpz_class	MpInt

typedef mp_rnd_t	MpRoundingMode

Functions
const MpReal &	leftBound (const MpReal &x)

const MpReal &	rightBound (const MpReal &x)

MpReal	abs (const MpReal &r, MpReal::RoundingMode rnd=MpReal::getDefaultRndMode())

MpReal	round (const MpReal &r)

MpReal	floor (const MpReal &r)

MpReal	trunc (const MpReal &r)

MpReal	ceil (const MpReal &r)

MpReal	frac (const MpReal &r)

const MpReal &	nonnegativePart (const MpReal &x)

MpReal	right (const MpReal &x)

MpReal	left (const MpReal &x)

MpReal	mid (const MpReal &x)

MpReal	operator+ (const MpReal &a, const MpReal &b)

MpReal	operator- (const MpReal &a, const MpReal &b)

MpReal	operator* (const MpReal &a, const MpReal &b)

MpReal	operator/ (const MpReal &a, const MpReal &b)

int	compare (const MpReal &r1, const MpReal &r2)
	Compares two numbers. More...

int	compare (const MpReal &r1, const double r2)

int	compare (const MpReal &r1, const int r2)

int	compare (const MpReal &r1, const unsigned int r2)

int	compare (const MpReal &r1, const long int r2)

int	compare (const MpReal &r1, const unsigned long r2)

bool	operator== (const MpReal &r1, const MpReal &r2)

bool	operator== (const double r1, const MpReal &r2)

bool	operator== (const int r1, const MpReal &r2)

bool	operator== (const unsigned int r1, const MpReal &r2)

bool	operator== (const long int r1, const MpReal &r2)

bool	operator== (const unsigned long int r1, const MpReal &r2)

bool	operator== (const MpReal &r1, const double r2)

bool	operator== (const MpReal &r1, const int r2)

bool	operator== (const MpReal &r1, const unsigned int r2)

bool	operator== (const MpReal &r1, const long int r2)

bool	operator== (const MpReal &r1, const unsigned long int r2)

bool	operator!= (const MpReal &r1, const MpReal &r2)

bool	operator!= (const double r1, const MpReal &r2)

bool	operator!= (const int r1, const MpReal &r2)

bool	operator!= (const unsigned int r1, const MpReal &r2)

bool	operator!= (const long int r1, const MpReal &r2)

bool	operator!= (const unsigned long int r1, const MpReal &r2)

bool	operator!= (const MpReal &r1, const double r2)

bool	operator!= (const MpReal &r1, const int r2)

bool	operator!= (const MpReal &r1, const unsigned int r2)

bool	operator!= (const MpReal &r1, const long int r2)

bool	operator!= (const MpReal &r1, const unsigned long int r2)

bool	operator< (const MpReal &r1, const MpReal &r2)

bool	operator< (const double r1, const MpReal &r2)

bool	operator< (const int r1, const MpReal &r2)

bool	operator< (const unsigned int r1, const MpReal &r2)

bool	operator< (const long int r1, const MpReal &r2)

bool	operator< (const unsigned long int r1, const MpReal &r2)

bool	operator< (const MpReal &r1, const double r2)

bool	operator< (const MpReal &r1, const int r2)

bool	operator< (const MpReal &r1, const unsigned int r2)

bool	operator< (const MpReal &r1, const long int r2)

bool	operator< (const MpReal &r1, const unsigned long int r2)

bool	operator<= (const MpReal &r1, const MpReal &r2)

bool	operator<= (const double r1, const MpReal &r2)

bool	operator<= (const int r1, const MpReal &r2)

bool	operator<= (const unsigned int r1, const MpReal &r2)

bool	operator<= (const long int r1, const MpReal &r2)

bool	operator<= (const unsigned long int r1, const MpReal &r2)

bool	operator<= (const MpReal &r1, const double r2)

bool	operator<= (const MpReal &r1, const int r2)

bool	operator<= (const MpReal &r1, const unsigned int r2)

bool	operator<= (const MpReal &r1, const long int r2)

bool	operator<= (const MpReal &r1, const unsigned long int r2)

bool	operator> (const MpReal &r1, const MpReal &r2)

bool	operator> (const double r1, const MpReal &r2)

bool	operator> (const int r1, const MpReal &r2)

bool	operator> (const unsigned int r1, const MpReal &r2)

bool	operator> (const long int r1, const MpReal &r2)

bool	operator> (const unsigned long int r1, const MpReal &r2)

bool	operator> (const MpReal &r1, const double r2)

bool	operator> (const MpReal &r1, const int r2)

bool	operator> (const MpReal &r1, const unsigned int r2)

bool	operator> (const MpReal &r1, const long int r2)

bool	operator> (const MpReal &r1, const unsigned long int r2)

bool	operator>= (const MpReal &r1, const MpReal &r2)

bool	operator>= (const double r1, const MpReal &r2)

bool	operator>= (const int r1, const MpReal &r2)

bool	operator>= (const unsigned int r1, const MpReal &r2)

bool	operator>= (const long int r1, const MpReal &r2)

bool	operator>= (const unsigned long int r1, const MpReal &r2)

bool	operator>= (const MpReal &r1, const double r2)

bool	operator>= (const MpReal &r1, const int r2)

bool	operator>= (const MpReal &r1, const unsigned int r2)

bool	operator>= (const MpReal &r1, const long int r2)

bool	operator>= (const MpReal &r1, const unsigned long int r2)

const MpReal &	min (const MpReal &a, const MpReal &b)

const MpReal &	max (const MpReal &a, const MpReal &b)

std::ostream &	operator<< (std::ostream &o, const MpReal &r)

std::istream &	operator>> (std::istream &i, MpReal &r)

Typedef Documentation

◆ MpInt

typedef mpz_class capd::multiPrec::MpInt

◆ MpRoundingMode

typedef mp_rnd_t capd::multiPrec::MpRoundingMode

Function Documentation

◆ abs()

MpReal capd::multiPrec::abs	(	const MpReal &	r,
		MpReal::RoundingMode	rnd = `MpReal::getDefaultRndMode()`
	)

inline

◆ ceil()

MpReal capd::multiPrec::ceil ( const MpReal & r )

inline

◆ compare() [1/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ compare() [2/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ compare() [3/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ compare() [4/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

Compares two numbers.

compare two MpReals returns 0 if r1==r2, negative value if r1<r2 and positive value if r1>r2

Parameters

[in] r1,r2 numbers to be compared

Returns: negative number if r1 < r2 0 if r1 == r2 positive number if r1 > r2

◆ compare() [5/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ compare() [6/6]

int capd::multiPrec::compare	(	const MpReal &	r1,
		const unsigned long	r2
	)

inline

◆ floor()

MpReal capd::multiPrec::floor ( const MpReal & r )

inline

◆ frac()

MpReal capd::multiPrec::frac ( const MpReal & r )

inline

◆ left()

MpReal capd::multiPrec::left ( const MpReal & x )

inline

◆ leftBound()

const MpReal& capd::multiPrec::leftBound ( const MpReal & x )

inline

◆ max()

const MpReal& capd::multiPrec::max	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ mid()

MpReal capd::multiPrec::mid ( const MpReal & x )

inline

◆ min()

const MpReal& capd::multiPrec::min	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ nonnegativePart()

const MpReal& capd::multiPrec::nonnegativePart ( const MpReal & x )

inline

◆ operator!=() [1/11]

bool capd::multiPrec::operator!=	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator!=() [2/11]

bool capd::multiPrec::operator!=	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator!=() [3/11]

bool capd::multiPrec::operator!=	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator!=() [4/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator!=() [5/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator!=() [6/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator!=() [7/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator!=() [8/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator!=() [9/11]

bool capd::multiPrec::operator!=	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator!=() [10/11]

bool capd::multiPrec::operator!=	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator!=() [11/11]

bool capd::multiPrec::operator!=	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator*()

MpReal capd::multiPrec::operator*	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ operator+()

MpReal capd::multiPrec::operator+	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ operator-()

MpReal capd::multiPrec::operator-	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ operator/()

MpReal capd::multiPrec::operator/	(	const MpReal &	a,
		const MpReal &	b
	)

inline

◆ operator<() [1/11]

bool capd::multiPrec::operator<	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator<() [2/11]

bool capd::multiPrec::operator<	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator<() [3/11]

bool capd::multiPrec::operator<	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator<() [4/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator<() [5/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator<() [6/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator<() [7/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator<() [8/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator<() [9/11]

bool capd::multiPrec::operator<	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator<() [10/11]

bool capd::multiPrec::operator<	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator<() [11/11]

bool capd::multiPrec::operator<	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator<<()

std::ostream& capd::multiPrec::operator<<	(	std::ostream &	o,
		const MpReal &	r
	)

inline

◆ operator<=() [1/11]

bool capd::multiPrec::operator<=	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator<=() [2/11]

bool capd::multiPrec::operator<=	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator<=() [3/11]

bool capd::multiPrec::operator<=	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator<=() [4/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator<=() [5/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator<=() [6/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator<=() [7/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator<=() [8/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator<=() [9/11]

bool capd::multiPrec::operator<=	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator<=() [10/11]

bool capd::multiPrec::operator<=	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator<=() [11/11]

bool capd::multiPrec::operator<=	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [1/11]

bool capd::multiPrec::operator==	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [2/11]

bool capd::multiPrec::operator==	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [3/11]

bool capd::multiPrec::operator==	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [4/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator==() [5/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator==() [6/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator==() [7/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [8/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator==() [9/11]

bool capd::multiPrec::operator==	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator==() [10/11]

bool capd::multiPrec::operator==	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator==() [11/11]

bool capd::multiPrec::operator==	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [1/11]

bool capd::multiPrec::operator>	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [2/11]

bool capd::multiPrec::operator>	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [3/11]

bool capd::multiPrec::operator>	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [4/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator>() [5/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator>() [6/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator>() [7/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [8/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator>() [9/11]

bool capd::multiPrec::operator>	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator>() [10/11]

bool capd::multiPrec::operator>	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator>() [11/11]

bool capd::multiPrec::operator>	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [1/11]

bool capd::multiPrec::operator>=	(	const double	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [2/11]

bool capd::multiPrec::operator>=	(	const int	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [3/11]

bool capd::multiPrec::operator>=	(	const long int	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [4/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const double	r2
	)

inline

◆ operator>=() [5/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const int	r2
	)

inline

◆ operator>=() [6/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const long int	r2
	)

inline

◆ operator>=() [7/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [8/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const unsigned int	r2
	)

inline

◆ operator>=() [9/11]

bool capd::multiPrec::operator>=	(	const MpReal &	r1,
		const unsigned long int	r2
	)

inline

◆ operator>=() [10/11]

bool capd::multiPrec::operator>=	(	const unsigned int	r1,
		const MpReal &	r2
	)

inline

◆ operator>=() [11/11]

bool capd::multiPrec::operator>=	(	const unsigned long int	r1,
		const MpReal &	r2
	)

inline

◆ operator>>()

std::istream& capd::multiPrec::operator>>	(	std::istream &	i,
		MpReal &	r
	)

inline

◆ right()

MpReal capd::multiPrec::right ( const MpReal & x )

inline

◆ rightBound()

const MpReal& capd::multiPrec::rightBound ( const MpReal & x )

inline

◆ round()

MpReal capd::multiPrec::round ( const MpReal & r )

inline

◆ trunc()

MpReal capd::multiPrec::trunc ( const MpReal & r )

inline

Classes

Typedefs

Functions

Typedef Documentation

◆ MpInt

◆ MpRoundingMode

Function Documentation

◆ abs()

◆ ceil()

◆ compare() [1/6]

◆ compare() [2/6]

◆ compare() [3/6]

◆ compare() [4/6]

◆ compare() [5/6]

◆ compare() [6/6]

◆ floor()

◆ frac()

◆ left()

◆ leftBound()

◆ max()

◆ mid()

◆ min()

◆ nonnegativePart()

◆ operator!=() [1/11]

◆ operator!=() [2/11]

◆ operator!=() [3/11]

◆ operator!=() [4/11]

◆ operator!=() [5/11]

◆ operator!=() [6/11]

◆ operator!=() [7/11]

◆ operator!=() [8/11]

◆ operator!=() [9/11]

◆ operator!=() [10/11]

◆ operator!=() [11/11]

◆ operator*()

◆ operator+()

◆ operator-()

◆ operator/()

◆ operator<() [1/11]

◆ operator<() [2/11]

◆ operator<() [3/11]

◆ operator<() [4/11]

◆ operator<() [5/11]

◆ operator<() [6/11]

◆ operator<() [7/11]

◆ operator<() [8/11]

◆ operator<() [9/11]

◆ operator<() [10/11]

◆ operator<() [11/11]

◆ operator<<()

◆ operator<=() [1/11]

◆ operator<=() [2/11]

◆ operator<=() [3/11]

◆ operator<=() [4/11]

◆ operator<=() [5/11]

◆ operator<=() [6/11]

◆ operator<=() [7/11]

◆ operator<=() [8/11]

◆ operator<=() [9/11]

◆ operator<=() [10/11]

◆ operator<=() [11/11]

◆ operator==() [1/11]

◆ operator==() [2/11]

◆ operator==() [3/11]

◆ operator==() [4/11]

◆ operator==() [5/11]

◆ operator==() [6/11]

◆ operator==() [7/11]

◆ operator==() [8/11]

◆ operator==() [9/11]

◆ operator==() [10/11]

◆ operator==() [11/11]

◆ operator>() [1/11]

◆ operator>() [2/11]

◆ operator>() [3/11]

◆ operator>() [4/11]

◆ operator>() [5/11]

◆ operator>() [6/11]

◆ operator>() [7/11]

◆ operator>() [8/11]