NormalFan_Rn Class Reference

Model a normal fan. More...

#include <NormalFan_Rn.h>

Collaboration diagram for NormalFan_Rn:

Public Member Functions
	NormalFan_Rn ()
	Constructor. More...
	NormalFan_Rn (const boost::shared_ptr< Polytope_Rn > &A)
	Constructor. More...
	~NormalFan_Rn ()
	Destructor. More...
unsigned int	numberOfPolyhedralCones () const
	Get the total number of polyhedral cones. More...
void	addPolyhedralCone (boost::shared_ptr< PolyhedralCone_Rn > hs)
	Add the current half-space in its list. More...
void	addVertex (boost::shared_ptr< Generator_Rn > vx)
	Add the current vertex in its list. More...
const std::vector< boost::shared_ptr< Generator_Rn > > &	getListOfGenerators () const
const std::vector< boost::shared_ptr< PolyhedralCone_Rn > > &	getListOfPolyhedralCones () const
bool	checkTopologyAndGeometry () const
void	computeCommonRefinement (const NormalFan_Rn &NA, const NormalFan_Rn &NB)
	Compute \( N(A+B) = N(A) \wedge N(B) \). More...
void	computeHyperplanesSeparationForProjection (const std::vector< boost::shared_ptr< HalfSpace_Rn > > &, boost::shared_ptr< Polytope_Rn > &)
void	dump (std::ostream &out) const
	Dump the polyhedral structure on std::cout. More...

Protected Attributes
std::vector< boost::shared_ptr< PolyhedralCone_Rn > >	_listOfPolyhedralCones
	The list of polyhedral cones partitioning the whole space. More...
std::vector< boost::shared_ptr< Generator_Rn > >	_listOfVertices
	The list of vertices attached to their respective dual polyhedral cones. More...

Friends
class	constIteratorOfListOfPolyhedralCones

Detailed Description

Model a normal fan.

Definition at line 37 of file NormalFan_Rn.h.

Constructor & Destructor Documentation

NormalFan_Rn() [1/2]

NormalFan_Rn::NormalFan_Rn ( )

inline

Constructor.

Definition at line 42 of file NormalFan_Rn.h.

NormalFan_Rn() [2/2]

NormalFan_Rn::NormalFan_Rn

(

const boost::shared_ptr< Polytope_Rn > &

A

)

Constructor.

Definition at line 31 of file NormalFan_Rn.cpp.

~NormalFan_Rn()

NormalFan_Rn::~NormalFan_Rn ( )

inline

Destructor.

Definition at line 48 of file NormalFan_Rn.h.

Member Function Documentation

addPolyhedralCone()

void NormalFan_Rn::addPolyhedralCone ( boost::shared_ptr< PolyhedralCone_Rn >  hs )

inline

Add the current half-space in its list.

Definition at line 54 of file NormalFan_Rn.h.

addVertex()

void NormalFan_Rn::addVertex ( boost::shared_ptr< Generator_Rn >  vx )

inline

Add the current vertex in its list.

Definition at line 57 of file NormalFan_Rn.h.

checkTopologyAndGeometry()

bool NormalFan_Rn::checkTopologyAndGeometry

(

)

const

Definition at line 70 of file NormalFan_Rn.cpp.

computeCommonRefinement()

void NormalFan_Rn::computeCommonRefinement	(	const NormalFan_Rn &	NA,
		const NormalFan_Rn &	NB
	)

Compute \( N(A+B) = N(A) \wedge N(B) \).

Compute the intersection of all polyhedral cones from the first normal fan N(A) with all polyhedral cones from the second normal fan N(B).

\[ N(A+B) = N(A) \wedge N(B) = \left\{ C_{a_i} \bigcap C_{b_j}, \forall \, C_{a_i} \in N(A), \forall \, C_{b_j} \in N(B) \right\} \]

Parameters

NA	The first normal fan computed from polytope A
NB	The second normal fan computed from polytope B

Definition at line 174 of file NormalFan_Rn.cpp.

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computeHyperplanesSeparationForProjection()

void NormalFan_Rn::computeHyperplanesSeparationForProjection	(	const std::vector< boost::shared_ptr< HalfSpace_Rn > > &	allHS,
		boost::shared_ptr< Polytope_Rn > &	Pol
	)

@

@

@

@

@

@

@

@

Definition at line 74 of file NormalFan_Rn.cpp.

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dump()

void NormalFan_Rn::dump

(

std::ostream &

out

)

const

Dump the polyhedral structure on std::cout.

Definition at line 269 of file NormalFan_Rn.cpp.

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getListOfGenerators()

const std::vector< boost::shared_ptr<Generator_Rn> >& NormalFan_Rn::getListOfGenerators ( ) const

inline

Definition at line 59 of file NormalFan_Rn.h.

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getListOfPolyhedralCones()

const std::vector< boost::shared_ptr<PolyhedralCone_Rn> >& NormalFan_Rn::getListOfPolyhedralCones ( ) const

inline

Definition at line 61 of file NormalFan_Rn.h.

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numberOfPolyhedralCones()

unsigned int NormalFan_Rn::numberOfPolyhedralCones ( ) const

inline

Get the total number of polyhedral cones.

Definition at line 51 of file NormalFan_Rn.h.

Friends And Related Function Documentation

constIteratorOfListOfPolyhedralCones

friend class constIteratorOfListOfPolyhedralCones

friend

Definition at line 38 of file NormalFan_Rn.h.

Member Data Documentation

_listOfPolyhedralCones

std::vector< boost::shared_ptr<PolyhedralCone_Rn> > NormalFan_Rn::_listOfPolyhedralCones

protected

The list of polyhedral cones partitioning the whole space.

Definition at line 86 of file NormalFan_Rn.h.

_listOfVertices

std::vector< boost::shared_ptr<Generator_Rn> > NormalFan_Rn::_listOfVertices

protected

The list of vertices attached to their respective dual polyhedral cones.

Definition at line 88 of file NormalFan_Rn.h.

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

• /mnt/c/Users/vindelos/Documents/TEST/TEST/co/politopix/trunk/NormalFan_Rn.h
• /mnt/c/Users/vindelos/Documents/TEST/TEST/co/politopix/trunk/NormalFan_Rn.cpp