capd::covrel::HSet3D Class Reference

The class HSet3D provides a h-set in R^3 with one unstable direction and two stable directions. More...

#include <capd/covrel/HSet3D.h>

Public Types
typedef capd::vectalg::Vector< double, 3 >	FloatVector
typedef capd::vectalg::Vector< interval, 3 >	IntervalVector
typedef capd::vectalg::Matrix< double, 3, 3 >	FloatMatrix
typedef capd::vectalg::Matrix< interval, 3, 3 >	IntervalMatrix
typedef VectorType::size_type	size_type
typedef capd::vectalg::Vector< double, 3 >	VectorType
typedef capd::vectalg::Vector< interval, 3 >	IVectorType

Public Member Functions
	HSet3D ()
	HSet3D (const FloatVector &Center, const FloatVector &U, const FloatVector &S1, const FloatVector &S2)
	HSet3D (const IntervalVector &Center, const IntervalVector &U, const IntervalVector &S1, const IntervalVector &S2)
	~HSet3D ()
bool	outside (const FloatVector &point) const
bool	inside (const FloatVector &point) const
bool	across (const FloatVector &point) const
bool	mapaway (const FloatVector &point) const
bool	onLeft (const FloatVector &point) const
bool	onRight (const FloatVector &point) const
bool	outside (const IntervalVector &point) const
	verifies if set does not intersect the support of h-set More...
bool	inside (const IntervalVector &point) const
	verifies if set is inside the support of h-set, More...
bool	across (const IntervalVector &point) const
	verifies if set does not intersect N^+ More...
bool	mapaway (const IntervalVector &point) const
	??? More...
bool	onLeft (const IntervalVector &point) const
bool	onRight (const IntervalVector &point) const
template<typename IMatrix >
GridSet< IMatrix > &	gridWall (GridSet< IMatrix > &G, size_type grid1, size_type grid2, size_type dir, int sign=0, size_type d1=0, size_type d2=1, size_type d3=2) const
template<typename IMatrix >
GridSet< IMatrix > &	gridSet (GridSet< IMatrix > &G, size_type grid1, size_type grid2, size_type grid3, size_type d1=0, size_type d2=1, size_type d3=2) const
virtual bool	outside (const VectorType &) const=0
virtual bool	inside (const VectorType &) const=0
virtual bool	across (const VectorType &) const=0
virtual bool	mapaway (const VectorType &) const=0

Public Attributes
FloatVector	center
FloatVector	u
FloatVector	s1
FloatVector	s2
FloatMatrix	M
IntervalVector	Icenter
IntervalVector	Iu
IntervalVector	Is1
IntervalVector	Is2
IntervalMatrix	IM
FloatVector	RA
FloatVector	RB
FloatVector	RC
FloatVector	RD
FloatVector	LA
FloatVector	LB
FloatVector	LC
FloatVector	LD
IntervalVector	IRA
IntervalVector	IRB
IntervalVector	IRC
IntervalVector	IRD
IntervalVector	ILA
IntervalVector	ILB
IntervalVector	ILC
IntervalVector	ILD

Detailed Description

The class HSet3D provides a h-set in R^3 with one unstable direction and two stable directions.

Member Typedef Documentation

FloatMatrix

typedef capd::vectalg::Matrix<double,3,3> capd::covrel::HSet3D::FloatMatrix

FloatVector

typedef capd::vectalg::Vector<double,3> capd::covrel::HSet3D::FloatVector

IntervalMatrix

typedef capd::vectalg::Matrix<interval,3,3> capd::covrel::HSet3D::IntervalMatrix

IntervalVector

typedef capd::vectalg::Vector<interval,3> capd::covrel::HSet3D::IntervalVector

IVectorType

typedef capd::vectalg::Vector< interval, 3 > capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::IVectorType

inherited

size_type

typedef VectorType::size_type capd::covrel::HSet3D::size_type

VectorType

typedef capd::vectalg::Vector< double, 3 > capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::VectorType

inherited

Constructor & Destructor Documentation

HSet3D() [1/3]

capd::covrel::HSet3D::HSet3D ( )

inline

HSet3D() [2/3]

capd::covrel::HSet3D::HSet3D	(	const FloatVector &	Center,
		const FloatVector &	U,
		const FloatVector &	S1,
		const FloatVector &	S2
	)

HSet3D() [3/3]

capd::covrel::HSet3D::HSet3D	(	const IntervalVector &	Center,
		const IntervalVector &	U,
		const IntervalVector &	S1,
		const IntervalVector &	S2
	)

~HSet3D()

capd::covrel::HSet3D::~HSet3D ( )

inline

Member Function Documentation

across() [1/3]

bool capd::covrel::HSet3D::across

(

const FloatVector &

point

)

const

across() [2/3]

bool capd::covrel::HSet3D::across ( const IntervalVector &  set ) const

virtual

verifies if set does not intersect N^+

Implements capd::covrel::HSet< capd::vectalg::Vector< double, 3 >, capd::vectalg::Vector< interval, 3 > >.

across() [3/3]

virtual bool capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::across ( const VectorType &  ) const

pure virtualinherited

gridSet()

template<typename IMatrix >

GridSet< IMatrix > & capd::covrel::HSet3D::gridSet	(	GridSet< IMatrix > &	G,
		size_type	grid1,
		size_type	grid2,
		size_type	grid3,
		size_type	d1 = 0,
		size_type	d2 = 1,
		size_type	d3 = 2
	)		const

gridWall()

template<typename IMatrix >

GridSet< IMatrix > & capd::covrel::HSet3D::gridWall	(	GridSet< IMatrix > &	G,
		size_type	grid1,
		size_type	grid2,
		size_type	dir,
		int	sign = 0,
		size_type	d1 = 0,
		size_type	d2 = 1,
		size_type	d3 = 2
	)		const

inside() [1/3]

bool capd::covrel::HSet3D::inside

(

const FloatVector &

point

)

const

inside() [2/3]

bool capd::covrel::HSet3D::inside ( const IntervalVector &  set ) const

virtual

verifies if set is inside the support of h-set,

Implements capd::covrel::HSet< capd::vectalg::Vector< double, 3 >, capd::vectalg::Vector< interval, 3 > >.

inside() [3/3]

virtual bool capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::inside ( const VectorType &  ) const

pure virtualinherited

mapaway() [1/3]

bool capd::covrel::HSet3D::mapaway

(

const FloatVector &

point

)

const

mapaway() [2/3]

bool capd::covrel::HSet3D::mapaway ( const IntervalVector &  set ) const

virtual

???

Implements capd::covrel::HSet< capd::vectalg::Vector< double, 3 >, capd::vectalg::Vector< interval, 3 > >.

mapaway() [3/3]

virtual bool capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::mapaway ( const VectorType &  ) const

pure virtualinherited

onLeft() [1/2]

bool capd::covrel::HSet3D::onLeft

(

const FloatVector &

point

)

const

onLeft() [2/2]

bool capd::covrel::HSet3D::onLeft

(

const IntervalVector &

point

)

const

onRight() [1/2]

bool capd::covrel::HSet3D::onRight

(

const FloatVector &

point

)

const

onRight() [2/2]

bool capd::covrel::HSet3D::onRight

(

const IntervalVector &

point

)

const

outside() [1/3]

bool capd::covrel::HSet3D::outside

(

const FloatVector &

point

)

const

outside() [2/3]

bool capd::covrel::HSet3D::outside ( const IntervalVector &  set ) const

virtual

verifies if set does not intersect the support of h-set

Implements capd::covrel::HSet< capd::vectalg::Vector< double, 3 >, capd::vectalg::Vector< interval, 3 > >.

outside() [3/3]

virtual bool capd::covrel::HSet< capd::vectalg::Vector< double, 3 > , capd::vectalg::Vector< interval, 3 > >::outside ( const VectorType &  ) const

pure virtualinherited

Member Data Documentation

center

FloatVector capd::covrel::HSet3D::center

Icenter

IntervalVector capd::covrel::HSet3D::Icenter

ILA

IntervalVector capd::covrel::HSet3D::ILA

ILB

IntervalVector capd::covrel::HSet3D::ILB

ILC

IntervalVector capd::covrel::HSet3D::ILC

ILD

IntervalVector capd::covrel::HSet3D::ILD

IM

IntervalMatrix capd::covrel::HSet3D::IM

IRA

IntervalVector capd::covrel::HSet3D::IRA

IRB

IntervalVector capd::covrel::HSet3D::IRB

IRC

IntervalVector capd::covrel::HSet3D::IRC

IRD

IntervalVector capd::covrel::HSet3D::IRD

Is1

IntervalVector capd::covrel::HSet3D::Is1

Is2

IntervalVector capd::covrel::HSet3D::Is2

Iu

IntervalVector capd::covrel::HSet3D::Iu

LA

FloatVector capd::covrel::HSet3D::LA

LB

FloatVector capd::covrel::HSet3D::LB

LC

FloatVector capd::covrel::HSet3D::LC

LD

FloatVector capd::covrel::HSet3D::LD

M

FloatMatrix capd::covrel::HSet3D::M

RA

FloatVector capd::covrel::HSet3D::RA

RB

FloatVector capd::covrel::HSet3D::RB

RC

FloatVector capd::covrel::HSet3D::RC

RD

FloatVector capd::covrel::HSet3D::RD

s1

FloatVector capd::covrel::HSet3D::s1

s2

FloatVector capd::covrel::HSet3D::s2

u

FloatVector capd::covrel::HSet3D::u