Aim: It is just a helper class for BoundedRationalPolytope to add dimension specific static methods. More...

#include <DGtal/geometry/volumes/BoundedRationalPolytope.h>

Public Types
typedef TInteger	Integer

typedef SpaceND< N, Integer >	Space

typedef Space::Point	Point

typedef Space::Vector	Vector

typedef BoundedRationalPolytope< Space >	Polytope

Static Public Member Functions
static void	addEdgeConstraint (Polytope &, unsigned int, unsigned int, const std::vector< Point > &)

static Vector	crossProduct (const Vector &, const Vector &)

Static Public Attributes
static const Dimension	dimension = Space::dimension

Detailed Description

template<DGtal::Dimension N, typename TInteger>
struct DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >

Aim: It is just a helper class for BoundedRationalPolytope to add dimension specific static methods.

Description of template class 'BoundedRationalPolytopeSpecializer'

Template Parameters

N	the dimension of the polytope.
TInteger	any model of integer.

Definition at line 700 of file BoundedRationalPolytope.h.

Member Typedef Documentation

◆ Integer

template<DGtal::Dimension N, typename TInteger >

typedef TInteger DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::Integer

Definition at line 701 of file BoundedRationalPolytope.h.

◆ Point

template<DGtal::Dimension N, typename TInteger >

typedef Space::Point DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::Point

Definition at line 703 of file BoundedRationalPolytope.h.

◆ Polytope

template<DGtal::Dimension N, typename TInteger >

typedef BoundedRationalPolytope< Space > DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::Polytope

Definition at line 705 of file BoundedRationalPolytope.h.

◆ Space

template<DGtal::Dimension N, typename TInteger >

typedef SpaceND< N, Integer> DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::Space

Definition at line 702 of file BoundedRationalPolytope.h.

◆ Vector

template<DGtal::Dimension N, typename TInteger >

typedef Space::Vector DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::Vector

Definition at line 704 of file BoundedRationalPolytope.h.

Member Function Documentation

◆ addEdgeConstraint()

template<DGtal::Dimension N, typename TInteger >

static void DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::addEdgeConstraint	(	Polytope &	,
		unsigned int	,
		unsigned int	,
		const std::vector< Point > &
	)

inlinestatic

Not implemented generic method.

This method add extremal constraints for simplex edges, faces, etc. Each constraint is a half-space bounded by the edge, face, etc, and one axis. Such constraints are useful when computing the Minkowski sum.

Note: This method is useful starting from 3D, where it is implemented in the specialization of this class.

Todo:: For higher dimensions, one should add constraint for extremal faces, etc.

Definition at line 721 of file BoundedRationalPolytope.h.

      {
        trace.error() << "[BoundedRationalPolytopeHelper::addEdgeConstraint]"
                      << " this method is only implemented in 3D." << std::endl;
      }

References DGtal::Trace::error(), and DGtal::trace.

◆ crossProduct()

template<DGtal::Dimension N, typename TInteger >

static Vector DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::crossProduct	(	const Vector &	,
		const Vector &
	)

inlinestatic

Generic method for cross product, only implemented in 3D.

Returns: their cross product.

Definition at line 731 of file BoundedRationalPolytope.h.

      {
        trace.error() << "[BoundedRationalPolytopeHelper::crossProduct]"
                      << " this method is only implemented in 3D." << std::endl;
        return Vector::zero;
      }