Interval Class Reference

Implements a rudimentary interval class. More...

#include <interval.hpp>

List of all members.

Public Member Functions
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)
	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.
	~Interval ()
	Destructor.
const double &	l () const
	Returns the lower bounding value.
const double &	u () const
	Returns the upper bounding value.
void	l (const double lb)
	Sets the lower bound.
void	u (const double ub)
	Sets the upper bound.
void	print () const
BooleanType	isCompact () const
	Routine which returns BT_FALSE if the lower or upper bounds is equal to "nan" or "INFTY". Otherwise, BT_TRUE is returned.
Friends
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 &)
Interval	operator/ (const Interval &, const Interval &)
Interval	operator/ (const Interval &, const double)
Interval	operator/ (const double, 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 &)
bool	operator< (const Interval &, const Interval &)
bool	operator> (const Interval &, const Interval &)
double	diam (const Interval &)
double	abs (const Interval &)
double	mid (const Interval &)
double	mid (const double, const double, const double, int &)
Interval	inv (const Interval &)
Interval	sqr (const Interval &)
Interval	exp (const Interval &)
Interval	log (const Interval &)
Interval	cos (const Interval &)
Interval	sin (const Interval &)
Interval	tan (const Interval &)
Interval	acos (const Interval &)
Interval	asin (const Interval &)
Interval	atan (const Interval &)
Interval	fabs (const Interval &)
Interval	sqrt (const Interval &)
Interval	xlog (const Interval &)
Interval	pow (const Interval &, const int)
Interval	arh (const Interval &, const double)
Interval	pow (const Interval &, const double)
Interval	pow (const Interval &, const Interval &)
Interval	hull (const Interval &, const Interval &)
Interval	min (const Interval &, const Interval &)
Interval	max (const Interval &, const Interval &)
Interval	min (const unsigned int, const Interval *)
Interval	max (const unsigned int, const Interval *)
bool	inter (Interval &, const Interval &, const Interval &)

---

Detailed Description

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.
        

  
  
  

---

Constructor & Destructor Documentation

Interval::Interval

(

)

[inline]

Interval::Interval

(

const double

c

)

[inline]

Interval::Interval	(	const double	l_,
		const double	u_
	)		[inline]

Interval::Interval

(

const Interval &

I

)

[inline]

Interval::~Interval

(

)

[inline]

---

Member Function Documentation

BEGIN_NAMESPACE_ACADO BooleanType Interval::isCompact

(

)

const

References acadoIsFinite(), acadoIsNaN(), BT_FALSE, and BT_TRUE.

const double& Interval::l

(

)

const [inline]

Referenced by operator<<().

void Interval::l

(

const double

lb

)

[inline]

Interval& Interval::operator*=

(

const double

c

)

[inline]

Interval& Interval::operator*=

(

const Interval &

I

)

[inline]

References operator*.

Interval& Interval::operator+=

(

const double

c

)

[inline]

Interval& Interval::operator+=

(

const Interval &

I

)

[inline]

Interval& Interval::operator-=

(

const double

c

)

[inline]

Interval& Interval::operator-=

(

const Interval &

I

)

[inline]

Interval& Interval::operator/=

(

const double

c

)

[inline]

References operator/.

Interval& Interval::operator/=

(

const Interval &

I

)

[inline]

References operator/.

Interval& Interval::operator=

(

const double

c

)

[inline]

Interval& Interval::operator=

(

const Interval &

I

)

[inline]

void Interval::print

(

)

const [inline]

const double& Interval::u

(

)

const [inline]

Referenced by operator<<().

void Interval::u

(

const double

ub

)

[inline]

---

Friends And Related Function Documentation

double abs

(

const Interval &

I

)

[friend]

Interval acos

(

const Interval &

I

)

[friend]

Interval arh	(	const Interval &	I,
		const double	a
	)		[friend]

Interval asin

(

const Interval &

I

)

[friend]

Interval atan

(

const Interval &

I

)

[friend]

Interval cos

(

const Interval &

I

)

[friend]

double diam

(

const Interval &

I

)

[friend]

Interval exp

(

const Interval &

I

)

[friend]

Interval fabs

(

const Interval &

I

)

[friend]

Interval hull	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

bool inter	(	Interval &	XIY,
		const Interval &	X,
		const Interval &	Y
	)		[friend]

Interval inv

(

const Interval &

I

)

[friend]

Interval log

(

const Interval &

I

)

[friend]

Interval max	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval max	(	const unsigned int	n,
		const Interval *	I
	)		[friend]

double mid

(

const Interval &

I

)

[friend]

Referenced by fabs(), pow(), sqr(), and xlog().

double mid	(	const double	,
		const double	,
		const double	,
		int &
	)		[friend]

Interval min	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval min	(	const unsigned int	n,
		const Interval *	I
	)		[friend]

bool operator!=	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval operator*	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Referenced by operator*=().

Interval operator*	(	const Interval &	I,
		const double	c
	)		[friend]

Interval operator*	(	const double	c,
		const Interval &	I
	)		[friend]

Interval operator+

(

const Interval &

I

)

[friend]

Interval operator+	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval operator+	(	const double	c,
		const Interval &	I
	)		[friend]

Interval operator+	(	const Interval &	I,
		const double	c
	)		[friend]

Interval operator-

(

const Interval &

I

)

[friend]

Interval operator-	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval operator-	(	const double	c,
		const Interval &	I
	)		[friend]

Interval operator-	(	const Interval &	I,
		const double	c
	)		[friend]

Interval operator/	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Referenced by operator/=().

Interval operator/	(	const Interval &	I,
		const double	c
	)		[friend]

Interval operator/	(	const double	c,
		const Interval &	I
	)		[friend]

bool operator<	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

std::ostream& operator<<	(	std::ostream &	out,
		const Interval &	I
	)		[friend]

bool operator<=	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

bool operator==	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

bool operator>	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

bool operator>=	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval pow	(	const Interval &	I,
		const int	n
	)		[friend]

Interval pow	(	const Interval &	I,
		const double	a
	)		[friend]

Interval pow	(	const Interval &	I1,
		const Interval &	I2
	)		[friend]

Interval sin

(

const Interval &

I

)

[friend]

Interval sqr

(

const Interval &

I

)

[friend]

Interval sqrt

(

const Interval &

I

)

[friend]

Interval tan

(

const Interval &

I

)

[friend]

Interval xlog

(

const Interval &

I

)

[friend]

Referenced by xlog().

---

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

• interval.hpp
• interval.cpp