Basic tools for topology and geometry: translations, polarity, ... More...

#include <PolyhedralAlgorithms_Rn.h>

Collaboration diagram for TopGeomTools:

Static Public Member Functions
static int	Translate (boost::shared_ptr< Polytope_Rn > &pol, const boost::numeric::ublas::vector< double > &v2t)
	Translate a polytope by the given vector. More...

static int	GravityCenter (boost::shared_ptr< Polytope_Rn > &pol, boost::numeric::ublas::vector< double > &gravity_center)
	Compute the gravity center of a given polytope. More...

static int	scalingFactor (boost::shared_ptr< Polytope_Rn > &pol, double factor)
	Multiply a polytope by a given real number. More...

static int	PolarPolytope (const boost::shared_ptr< Polytope_Rn > &original_pol, boost::shared_ptr< Polytope_Rn > &polar_pol, bool forceComputation=true, double bb_size=1000.) throw (invalid_argument)
	Compute the polar polytope. More...

static int	projectPolytopeOnCanonicalHyperplanes (const std::set< unsigned int > &listOfHyperplanes, const boost::shared_ptr< Polytope_Rn > &original_pol, boost::shared_ptr< Polytope_Rn > &proj_pol) throw (invalid_argument)
	Compute the projection of a polytope on the intersection of canonical hyperplanes of the shape x_i = 0 More...

static int	extrudeInCanonicalDirections (const std::set< unsigned int > &originalSpaceDirections, unsigned int dimensionOfTotalSpace, const boost::shared_ptr< Polytope_Rn > &original_polytope, boost::shared_ptr< PolyhedralCone_Rn > &extruded_polyhedron) throw (invalid_argument)
	Compute the extrusion of a polytope belonging to a space S₁ into a higher dimension space S₂ following the canonical direction. More...

Detailed Description

Basic tools for topology and geometry: translations, polarity, ...

Definition at line 325 of file PolyhedralAlgorithms_Rn.h.

Member Function Documentation

int TopGeomTools::extrudeInCanonicalDirections	(	const std::set< unsigned int > &	originalSpaceDirections,
		unsigned int	dimensionOfTotalSpace,
		const boost::shared_ptr< Polytope_Rn > &	original_polytope,
		boost::shared_ptr< PolyhedralCone_Rn > &	extruded_polyhedron
	)
throw	(	invalid_argument
	)

static

Compute the extrusion of a polytope belonging to a space S₁ into a higher dimension space S₂ following the canonical direction.

Parameters

originalSpaceDirections	The set of indices describing the space S₁
original_polytope	The input polytope
extruded_polyhedron	The unbounded output polyhedron

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

Definition at line 1395 of file PolyhedralAlgorithms_Rn.cpp.

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int TopGeomTools::GravityCenter	(	boost::shared_ptr< Polytope_Rn > &	pol,
		boost::numeric::ublas::vector< double > &	gravity_center
	)

static

Compute the gravity center of a given polytope.

Parameters

pol	The corresponding polytope
gravity_center	The gravity center coordinates

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

Definition at line 1219 of file PolyhedralAlgorithms_Rn.cpp.

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int TopGeomTools::PolarPolytope	(	const boost::shared_ptr< Polytope_Rn > &	original_pol,
		boost::shared_ptr< Polytope_Rn > &	polar_pol,
		bool	forceComputation = `true`,
		double	bb_size = `1000.`
	)
throw	(	invalid_argument
	)

static

Compute the polar polytope.

Parameters

original_pol	The input polytope
polar_pol	The polar polytope

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

Definition at line 1254 of file PolyhedralAlgorithms_Rn.cpp.

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int TopGeomTools::projectPolytopeOnCanonicalHyperplanes	(	const std::set< unsigned int > &	listOfHyperplanes,
		const boost::shared_ptr< Polytope_Rn > &	original_pol,
		boost::shared_ptr< Polytope_Rn > &	proj_pol
	)
throw	(	invalid_argument
	)

static

Compute the projection of a polytope on the intersection of canonical hyperplanes of the shape x_i = 0

Parameters

listOfHyperplanes	The set of indices describing the canonical hyperplanes $i \in listOfHyperplanes \Leftrightarrow x_i = 0$
original_pol	The input polytope
proj_pol	The projected polytope

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

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Definition at line 1344 of file PolyhedralAlgorithms_Rn.cpp.

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int TopGeomTools::scalingFactor	(	boost::shared_ptr< Polytope_Rn > &	pol,
		double	factor
	)

static

Multiply a polytope by a given real number.

Parameters

pol	The corresponding polytope
v2t	The scaling factor

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

Definition at line 1234 of file PolyhedralAlgorithms_Rn.cpp.

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int TopGeomTools::Translate	(	boost::shared_ptr< Polytope_Rn > &	pol,
		const boost::numeric::ublas::vector< double > &	v2t
	)

static

Translate a polytope by the given vector.

Parameters

pol	The corresponding polytope
v2t	The translation vector

Returns: TEST_OK or 0 if the process was successful, TEST_KO or -1 if something went wrong.

Definition at line 1199 of file PolyhedralAlgorithms_Rn.cpp.

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

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

Static Public Member Functions

Detailed Description

Member Function Documentation