Interval Class Reference

Implements a rudimentary interval class. More...

#include <interval.hpp>

List of all members.

Public Member Functions
	Interval ()
	Default constructor.
	Interval (const double c)
	Constructor for a constant value c
	Interval (const double l_, const double u_)
	Constructor for a variable that belongs to the interval [l,u].
	Interval (const Interval &I)
	Copy constructor.
BooleanType	isCompact () const
const double &	l () const
	Returns the lower bounding value.
void	l (const double lb)
	Sets the lower bound.
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.
void	u (const double ub)
	Sets the upper bound.
	~Interval ()
	Destructor.
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.
double	_u
	Upper bound.
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 [inline, private]

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:

• interval.hpp
• interval.cpp