Intervals Class Reference

Interval lists for real roots of multivariate polynomials. More...

#include <interval.h>

Public Member Functions
	Intervals ()
	Construct intervals. More...
	Intervals (int v)
	Construct intervals with number of variates. More...
	Intervals (const Intervals &b)
	Copy construct. More...
	~Intervals ()
	Destroy intervals. More...
Intervals &	operator= (Intervals b)
	Overload operator =. More...
int	numberOfVariables ()
	Get number of variables. More...
int	numberOfIntervals ()
	Get the number of roots. More...
void	pushInterval (Interval pI)
	Push an interval to the end of the list. More...
void	pushInterval (lfixq l, lfixq r)
	Push an interval to the end of the list. More...
void	pushInterval (double l, double r)
void	popInterval ()
	Pop the last interval. More...
void	clear ()
	Clear all the intervals. More...
Interval *	interval (int k, int l=0)
	Get a root of a variate. More...
Intervals	root (int k)
	Get a root of variates. More...
void	setVariableNames (const std::vector< Symbol > &xs)
	Set variable names. More...
void	copyFrom (Intervals &pIs, int k)
	Copy the k-th root. More...
void	scale (int k)
	Scale to 2^k. More...
void	transformLeft ()
	Scale to that over 2. More...
void	transformRight ()
	Scale to that plus 1 and then over 2. More...
void	negate ()
	Negate each interval and re-sort. More...
void	concatenate (Intervals &pIs)
	Merge another intervals into the end of the current one. More...
bool	isExactEqual (Intervals &pIs)

Friends
std::ostream &	operator<< (std::ostream &out, Intervals &a)
	Overload stream operator <<. More...

Detailed Description

Interval lists for real roots of multivariate polynomials.

i.e. []*..*[], .., []*..*[]

Constructor & Destructor Documentation

Intervals() [1/3]

Intervals::Intervals ( )

inline

Construct intervals.

Parameters

Intervals() [2/3]

Intervals::Intervals ( int  v )

inline

Construct intervals with number of variates.

Parameters

v	Number of variates

Intervals() [3/3]

Intervals::Intervals ( const Intervals &  b )

inline

Copy construct.

Parameters

b

Intervals

~Intervals()

Intervals::~Intervals ( )

inline

Destroy intervals.

Parameters

Member Function Documentation

clear()

void Intervals::clear ( )

inline

Clear all the intervals.

Parameters

concatenate()

void Intervals::concatenate

(

Intervals &

pIs

)

Merge another intervals into the end of the current one.

Parameters

pIs	A list of intervals

copyFrom()

void Intervals::copyFrom	(	Intervals &	pIs,
		int	k
	)

Copy the k-th root.

Parameters

pIs	A list of roots
k	Offset of roots

interval()

Interval* Intervals::interval ( int  k, int  l = 0  )

inline

Get a root of a variate.

Parameters

k	Offset of roots
l	Offset of variables in an ascending order

negate()

void Intervals::negate

(

)

Negate each interval and re-sort.

Parameters

numberOfIntervals()

int Intervals::numberOfIntervals ( )

inline

Get the number of roots.

Parameters

numberOfVariables()

int Intervals::numberOfVariables ( )

inline

Get number of variables.

Parameters

operator=()

Intervals& Intervals::operator= ( Intervals  b )

inline

Overload operator =.

Parameters

b

Intervals

popInterval()

void Intervals::popInterval ( )

inline

Pop the last interval.

Parameters

pushInterval() [1/2]

void Intervals::pushInterval ( Interval  pI )

inline

Push an interval to the end of the list.

Parameters

pI	An interval

pushInterval() [2/2]

void Intervals::pushInterval ( lfixq  l, lfixq  r  )

inline

Push an interval to the end of the list.

Parameters

l	Interval's left
r	Interval's right

root()

Intervals Intervals::root ( int  k )

inline

Get a root of variates.

Parameters

k	Offset of roots

scale()

void Intervals::scale

(

int

k

)

Scale to 2^k.

Parameters

k	The power of 2

setVariableNames()

void Intervals::setVariableNames ( const std::vector< Symbol > &  xs )

inline

Set variable names.

Parameters

xs	Variable names

transformLeft()

void Intervals::transformLeft

(

)

Scale to that over 2.

Parameters

transformRight()

void Intervals::transformRight

(

)

Scale to that plus 1 and then over 2.

Parameters

Friends And Related Function Documentation

operator<<

std::ostream& operator<< ( std::ostream &  out, Intervals &  a  )

friend

Overload stream operator <<.

Parameters

out	Stream object
a	Intervals

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

• include/Interval/interval.h