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 throw (std::domain_error)

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::NormalFan_Rn ( )

inline

Constructor.

Definition at line 42 of file NormalFan_Rn.h.

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 ( )

inline

Destructor.

Definition at line 48 of file NormalFan_Rn.h.

Member Function Documentation

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.

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.

bool NormalFan_Rn::checkTopologyAndGeometry	(		)	const
throw	(	std::domain_error
	)

Definition at line 70 of file NormalFan_Rn.cpp.

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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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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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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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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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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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

friend class constIteratorOfListOfPolyhedralCones

friend

Definition at line 38 of file NormalFan_Rn.h.

Member Data Documentation

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.

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.

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

/home/vindelos/politopix/trunk/NormalFan_Rn.h
/home/vindelos/politopix/trunk/NormalFan_Rn.cpp

Public Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation