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() [1/4]

Interval::Interval ( )

inline

Default constructor.

Definition at line 138 of file interval.hpp.

◆ Interval() [2/4]

Interval::Interval ( const double c )

inline

Constructor for a constant value c

Definition at line 141 of file interval.hpp.

◆ Interval() [3/4]

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() [4/4]

Interval::Interval ( const Interval & I )

inline

Copy constructor.

Definition at line 147 of file interval.hpp.

◆ ~Interval()

Interval::~Interval ( )

inline

Destructor.

Definition at line 150 of file interval.hpp.

Member Function Documentation

◆ isCompact()

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.

◆ l() [1/2]

const double& Interval::l ( ) const

inline

Returns the lower bounding value.

Definition at line 153 of file interval.hpp.

◆ l() [2/2]

void Interval::l ( const double lb )

inline

Sets the lower bound.

Definition at line 159 of file interval.hpp.

◆ mid()

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

private

Definition at line 55 of file interval.cpp.

◆ operator*=() [1/2]

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

inline

Definition at line 131 of file interval.hpp.

◆ operator*=() [2/2]

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

inline

Definition at line 133 of file interval.hpp.

◆ operator+=() [1/2]

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

inline

Definition at line 127 of file interval.hpp.

◆ operator+=() [2/2]

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

inline

Definition at line 128 of file interval.hpp.

◆ operator-=() [1/2]

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

inline

Definition at line 129 of file interval.hpp.

◆ operator-=() [2/2]

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

inline

Definition at line 130 of file interval.hpp.

◆ operator/=() [1/2]

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

inline

Definition at line 134 of file interval.hpp.

◆ operator/=() [2/2]

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

inline

Definition at line 135 of file interval.hpp.

◆ operator=() [1/2]

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

inline

Definition at line 125 of file interval.hpp.

◆ operator=() [2/2]

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

inline

Definition at line 126 of file interval.hpp.

◆ print()

void Interval::print ( ) const

inline

Definition at line 165 of file interval.hpp.

◆ u() [1/2]

const double& Interval::u ( ) const

inline

Returns the upper bounding value.

Definition at line 156 of file interval.hpp.

◆ u() [2/2]

void Interval::u ( const double ub )

inline

Sets the upper bound.

Definition at line 162 of file interval.hpp.

◆ xlog()

double Interval::xlog ( const double x ) const

inlineprivate

Definition at line 175 of file interval.hpp.

Friends And Related Function Documentation

◆ abs

double abs ( const Interval & )

friend

◆ acos

Interval acos ( const Interval & )

friend

◆ arh

Interval arh	(	const Interval &	,
		const double
	)

friend

◆ asin

Interval asin ( const Interval & )

friend

◆ atan

Interval atan ( const Interval & )

friend

◆ cos

Interval cos ( const Interval & )

friend

◆ diam

double diam ( const Interval & )

friend

◆ exp

Interval exp ( const Interval & )

friend

◆ fabs

Interval fabs ( const Interval & )

friend

◆ hull

Interval hull	(	const Interval &	,
		const Interval &
	)

friend

◆ inter

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

friend

◆ inv

Interval inv ( const Interval & )

friend

◆ log

Interval log ( const Interval & )

friend

◆ max [1/2]

Interval max	(	const Interval &	,
		const Interval &
	)

friend

◆ max [2/2]

Interval max	(	const unsigned	int,
		const Interval *
	)

friend

◆ mid [1/2]

double mid ( const Interval & )

friend

◆ mid [2/2]

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

friend

◆ min [1/2]

Interval min	(	const Interval &	,
		const Interval &
	)

friend

◆ min [2/2]

Interval min	(	const unsigned	int,
		const Interval *
	)

friend

◆ operator!=

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

friend

◆ operator* [1/3]

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

friend

◆ operator* [2/3]

Interval operator*	(	const Interval &	,
		const double
	)

friend

◆ operator* [3/3]

Interval operator*	(	const double	,
		const Interval &
	)

friend

◆ operator+ [1/4]

Interval operator+ ( const Interval & )

friend

◆ operator+ [2/4]

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

friend

◆ operator+ [3/4]

Interval operator+	(	const double	,
		const Interval &
	)

friend

◆ operator+ [4/4]

Interval operator+	(	const Interval &	,
		const double
	)

friend

◆ operator- [1/4]

Interval operator- ( const Interval & )

friend

◆ operator- [2/4]

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

friend

◆ operator- [3/4]

Interval operator-	(	const double	,
		const Interval &
	)

friend

◆ operator- [4/4]

Interval operator-	(	const Interval &	,
		const double
	)

friend

◆ operator/ [1/3]

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

friend

◆ operator/ [2/3]

Interval operator/	(	const Interval &	,
		const double
	)

friend

◆ operator/ [3/3]

Interval operator/	(	const double	,
		const Interval &
	)

friend

◆ operator<

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

friend

◆ operator<<

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

friend

◆ operator<=

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

friend

◆ operator==

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

friend

◆ operator>

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

friend

◆ operator>=

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

friend

◆ pow [1/3]

Interval pow	(	const Interval &	,
		const int
	)

friend

◆ pow [2/3]

Interval pow	(	const Interval &	,
		const double
	)

friend

◆ pow [3/3]

Interval pow	(	const Interval &	,
		const Interval &
	)

friend

◆ sin

Interval sin ( const Interval & )

friend

◆ sqr

Interval sqr ( const Interval & )

friend

◆ sqrt

Interval sqrt ( const Interval & )

friend

◆ tan

Interval tan ( const Interval & )

friend

◆ xlog

Interval xlog ( const Interval & )

friend

Member Data Documentation

◆ _l

double Interval::_l

private

Lower bound.

Definition at line 178 of file interval.hpp.

◆ _u

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

◆ Interval() [1/4]

◆ Interval() [2/4]

◆ Interval() [3/4]

◆ Interval() [4/4]

◆ ~Interval()

Member Function Documentation

◆ isCompact()

◆ l() [1/2]

◆ l() [2/2]

◆ mid()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ print()

◆ u() [1/2]

◆ u() [2/2]

◆ xlog()

Friends And Related Function Documentation

◆ abs

◆ acos

◆ arh

◆ asin

◆ atan

◆ cos

◆ diam

◆ exp

◆ fabs

◆ hull

◆ inter

◆ inv

◆ log

◆ max [1/2]

◆ max [2/2]

◆ mid [1/2]

◆ mid [2/2]

◆ min [1/2]

◆ min [2/2]

◆ operator!=

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator+ [1/4]

◆ operator+ [2/4]

◆ operator+ [3/4]

◆ operator+ [4/4]

◆ operator- [1/4]

◆ operator- [2/4]

◆ operator- [3/4]

◆ operator- [4/4]

◆ operator/ [1/3]

◆ operator/ [2/3]

◆ operator/ [3/3]

◆ operator<

◆ operator<<

◆ operator<=

◆ operator==

◆ operator>

◆ operator>=

◆ pow [1/3]

◆ pow [2/3]

◆ pow [3/3]

◆ sin

◆ sqr

◆ sqrt

◆ tan

◆ xlog

Member Data Documentation