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	computeScalingFactorForInclusion (boost::shared_ptr< Polytope_Rn > &pol1, boost::shared_ptr< Polytope_Rn > &pol2, double &sfactor)
	Multiply a polytope pol1 is not included in in polytope pol2, compute the sclaing factor for pol2 to include pol1. More...

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

static int	scalingFactor (boost::shared_ptr< PolyhedralCone_Rn > &pol, double sfactor)
	Multiply a polyhedral cone 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.)
	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)
	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)
	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 323 of file PolyhedralAlgorithms_Rn.h.

Member Function Documentation

◆ computeScalingFactorForInclusion()

int TopGeomTools::computeScalingFactorForInclusion	(	boost::shared_ptr< Polytope_Rn > &	pol1,
		boost::shared_ptr< Polytope_Rn > &	pol2,
		double &	sfactor
	)

static

Multiply a polytope pol1 is not included in in polytope pol2, compute the sclaing factor for pol2 to include pol1.

Parameters

pol1	The polytope which is not included into pol2
pol2	The polytope to scale to contain pol1
sfactor	The scaling factor

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

Definition at line 1283 of file PolyhedralAlgorithms_Rn.cpp.

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◆ extrudeInCanonicalDirections()

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
	)

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 1390 of file PolyhedralAlgorithms_Rn.cpp.

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◆ GravityCenter()

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 1268 of file PolyhedralAlgorithms_Rn.cpp.

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◆ PolarPolytope()

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.`
	)

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 1428 of file PolyhedralAlgorithms_Rn.cpp.

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◆ projectPolytopeOnCanonicalHyperplanes()

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

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.

Definition at line 1343 of file PolyhedralAlgorithms_Rn.cpp.

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◆ scalingFactor() [1/2]

int TopGeomTools::scalingFactor	(	boost::shared_ptr< PolyhedralCone_Rn > &	pol,
		double	sfactor
	)

static

Multiply a polyhedral cone by a given real number.

Parameters

pol	The corresponding polyhedral cone
sfactor	The scaling factor

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

Definition at line 1327 of file PolyhedralAlgorithms_Rn.cpp.

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◆ scalingFactor() [2/2]

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

static

Multiply a polytope by a given real number.

Parameters

pol	The corresponding polytope
sfactor	The scaling factor

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

Definition at line 1311 of file PolyhedralAlgorithms_Rn.cpp.

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◆ Translate()

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 1248 of file PolyhedralAlgorithms_Rn.cpp.

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

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ computeScalingFactorForInclusion()

◆ extrudeInCanonicalDirections()

◆ GravityCenter()

◆ PolarPolytope()

◆ projectPolytopeOnCanonicalHyperplanes()

◆ scalingFactor() [1/2]

◆ scalingFactor() [2/2]

◆ Translate()