Implements a rudimentary interval class. More...

#include <interval.hpp>

Public Member Functions
	Interval ()
	Default constructor. More...

	Interval (const double c)
	Constructor for a constant value c More...

	Interval (const double l_, const double u_)
	Constructor for a variable that belongs to the interval [l,u]. More...

	Interval (const Interval &I)
	Copy constructor. More...

BooleanType	isCompact () const

const double &	l () const
	Returns the lower bounding value. More...

void	l (const double lb)
	Sets the lower bound. More...

Interval &	operator*= (const double c)

Interval &	operator*= (const Interval &I)

Interval &	operator+= (const double c)

Interval &	operator+= (const Interval &I)

Interval &	operator-= (const double c)

Interval &	operator-= (const Interval &I)

Interval &	operator/= (const double c)

Interval &	operator/= (const Interval &I)

Interval &	operator= (const double c)

Interval &	operator= (const Interval &I)

void	print () const

const double &	u () const
	Returns the upper bounding value. More...

void	u (const double ub)
	Sets the upper bound. More...

	~Interval ()
	Destructor. More...

Private Member Functions
double	mid (const double convRel, const double concRel, const double valCut, int &indexMid) const

double	xlog (const double x) const

Private Attributes
double	_l
	Lower bound. More...

double	_u
	Upper bound. More...

Friends
double	abs (const Interval &)

Interval	acos (const Interval &)

Interval	arh (const Interval &, const double)

Interval	asin (const Interval &)

Interval	atan (const Interval &)

Interval	cos (const Interval &)

double	diam (const Interval &)

Interval	exp (const Interval &)

Interval	fabs (const Interval &)

Interval	hull (const Interval &, const Interval &)

bool	inter (Interval &, const Interval &, const Interval &)

Interval	inv (const Interval &)

Interval	log (const Interval &)

Interval	max (const Interval &, const Interval &)

Interval	max (const unsigned int, const Interval *)

double	mid (const Interval &)

double	mid (const double, const double, const double, int &)

Interval	min (const Interval &, const Interval &)

Interval	min (const unsigned int, const Interval *)

bool	operator!= (const Interval &, const Interval &)

Interval	operator* (const Interval &, const Interval &)

Interval	operator* (const Interval &, const double)

Interval	operator* (const double, const Interval &)

Interval	operator+ (const Interval &)

Interval	operator+ (const Interval &, const Interval &)

Interval	operator+ (const double, const Interval &)

Interval	operator+ (const Interval &, const double)

Interval	operator- (const Interval &)

Interval	operator- (const Interval &, const Interval &)

Interval	operator- (const double, const Interval &)

Interval	operator- (const Interval &, const double)

Interval	operator/ (const Interval &, const Interval &)

Interval	operator/ (const Interval &, const double)

Interval	operator/ (const double, const Interval &)

bool	operator< (const Interval &, const Interval &)

std::ostream &	operator<< (std::ostream &, const Interval &)

bool	operator<= (const Interval &, const Interval &)

bool	operator== (const Interval &, const Interval &)

bool	operator> (const Interval &, const Interval &)

bool	operator>= (const Interval &, const Interval &)

Interval	pow (const Interval &, const int)

Interval	pow (const Interval &, const double)

Interval	pow (const Interval &, const Interval &)

Interval	sin (const Interval &)

Interval	sqr (const Interval &)

Interval	sqrt (const Interval &)

Interval	tan (const Interval &)

Interval	xlog (const Interval &)

Detailed Description

Implements a rudimentary interval class.

Interval is a C++ class for calculating the natural interval
extension of a factorable function on a box.

Example Code:

A simple function of two intervals:

  Interval X(-1,1);      // An interval X = [-1,1].
  Interval Y( 1,2);      // An interval Y = y[1,2].

  Interval Z = X + X*Y;  // An interval Z that contains
                         // the set { x + x*y | x in X, y in Y };

  Z.print();             // display the result.

Definition at line 67 of file interval.hpp.

Constructor & Destructor Documentation

Interval::Interval ( )

inline

Default constructor.

Definition at line 138 of file interval.hpp.

Interval::Interval ( const double c )

inline

Constructor for a constant value c

Definition at line 141 of file interval.hpp.

Interval::Interval	(	const double	l_,
		const double	u_
	)

inline

Constructor for a variable that belongs to the interval [l,u].

Definition at line 144 of file interval.hpp.

Interval::Interval ( const Interval & I )

inline

Copy constructor.

Definition at line 147 of file interval.hpp.

Interval::~Interval ( )

inline

Destructor.

Definition at line 150 of file interval.hpp.

Member Function Documentation

BEGIN_NAMESPACE_ACADO BooleanType Interval::isCompact ( ) const

Routine which returns BT_FALSE if the lower or upper bounds is equal to "nan" or "INFTY".
Otherwise, BT_TRUE is returned.

Definition at line 41 of file interval.cpp.

const double& Interval::l ( ) const

inline

Returns the lower bounding value.

Definition at line 153 of file interval.hpp.

void Interval::l ( const double lb )

inline

Sets the lower bound.

Definition at line 159 of file interval.hpp.

double Interval::mid	(	const double	convRel,
		const double	concRel,
		const double	valCut,
		int &	indexMid
	)		const

private

Definition at line 55 of file interval.cpp.

Interval& Interval::operator*= ( const double c )

inline

Definition at line 131 of file interval.hpp.

Interval& Interval::operator*= ( const Interval & I )

inline

Definition at line 133 of file interval.hpp.

Interval& Interval::operator+= ( const double c )

inline

Definition at line 127 of file interval.hpp.

Interval& Interval::operator+= ( const Interval & I )

inline

Definition at line 128 of file interval.hpp.

Interval& Interval::operator-= ( const double c )

inline

Definition at line 129 of file interval.hpp.

Interval& Interval::operator-= ( const Interval & I )

inline

Definition at line 130 of file interval.hpp.

Interval& Interval::operator/= ( const double c )

inline

Definition at line 134 of file interval.hpp.

Interval& Interval::operator/= ( const Interval & I )

inline

Definition at line 135 of file interval.hpp.

Interval& Interval::operator= ( const double c )

inline

Definition at line 125 of file interval.hpp.

Interval& Interval::operator= ( const Interval & I )

inline

Definition at line 126 of file interval.hpp.

void Interval::print ( ) const

inline

Definition at line 165 of file interval.hpp.

const double& Interval::u ( ) const

inline

Returns the upper bounding value.

Definition at line 156 of file interval.hpp.

void Interval::u ( const double ub )

inline

Sets the upper bound.

Definition at line 162 of file interval.hpp.

double Interval::xlog ( const double x ) const

inlineprivate

Definition at line 175 of file interval.hpp.

Friends And Related Function Documentation

double abs ( const Interval & )

friend

Interval acos ( const Interval & )

friend

Interval arh	(	const Interval &	,
		const double
	)

friend

Interval asin ( const Interval & )

friend

Interval atan ( const Interval & )

friend

Interval cos ( const Interval & )

friend

double diam ( const Interval & )

friend

Interval exp ( const Interval & )

friend

Interval fabs ( const Interval & )

friend

Interval hull	(	const Interval &	,
		const Interval &
	)

friend

bool inter	(	Interval &	,
		const Interval &	,
		const Interval &
	)

friend

Interval inv ( const Interval & )

friend

Interval log ( const Interval & )

friend

Interval max	(	const Interval &	,
		const Interval &
	)

friend

Interval max	(	const unsigned	int,
		const Interval *
	)

friend

double mid ( const Interval & )

friend

double mid	(	const double	,
		const double	,
		const double	,
		int &
	)

friend

Interval min	(	const Interval &	,
		const Interval &
	)

friend

Interval min	(	const unsigned	int,
		const Interval *
	)

friend

bool operator!=	(	const Interval &	,
		const Interval &
	)

friend

Interval operator*	(	const Interval &	,
		const Interval &
	)

friend

Interval operator*	(	const Interval &	,
		const double
	)

friend

Interval operator*	(	const double	,
		const Interval &
	)

friend

Interval operator+ ( const Interval & )

friend

Interval operator+	(	const Interval &	,
		const Interval &
	)

friend

Interval operator+	(	const double	,
		const Interval &
	)

friend

Interval operator+	(	const Interval &	,
		const double
	)

friend

Interval operator- ( const Interval & )

friend

Interval operator-	(	const Interval &	,
		const Interval &
	)

friend

Interval operator-	(	const double	,
		const Interval &
	)

friend

Interval operator-	(	const Interval &	,
		const double
	)

friend

Interval operator/	(	const Interval &	,
		const Interval &
	)

friend

Interval operator/	(	const Interval &	,
		const double
	)

friend

Interval operator/	(	const double	,
		const Interval &
	)

friend

bool operator<	(	const Interval &	,
		const Interval &
	)

friend

std::ostream& operator<<	(	std::ostream &	,
		const Interval &
	)

friend

bool operator<=	(	const Interval &	,
		const Interval &
	)

friend

bool operator==	(	const Interval &	,
		const Interval &
	)

friend

bool operator>	(	const Interval &	,
		const Interval &
	)

friend

bool operator>=	(	const Interval &	,
		const Interval &
	)

friend

Interval pow	(	const Interval &	,
		const int
	)

friend

Interval pow	(	const Interval &	,
		const double
	)

friend

Interval pow	(	const Interval &	,
		const Interval &
	)

friend

Interval sin ( const Interval & )

friend

Interval sqr ( const Interval & )

friend

Interval sqrt ( const Interval & )

friend

Interval tan ( const Interval & )

friend

Interval xlog ( const Interval & )

friend

Member Data Documentation

double Interval::_l

private

Lower bound.

Definition at line 178 of file interval.hpp.

double Interval::_u

private

Upper bound.

Definition at line 180 of file interval.hpp.

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

Public Member Functions

Private Member Functions

Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation