#include <DGtal/kernel/SpaceND.h>

Data Structures
struct	Subcospace
	Define the type of a sub co-Space. More...

struct	Subspace
	Define the type of a subspace. More...

Public Types
typedef TInteger	Integer
	Arithmetic ring induced by (+,-,*) and Integer numbers. More...

typedef NumberTraits< Integer >::UnsignedVersion	UnsignedInteger
	Unsigned version of the Integers. More...

typedef size_t	Size
	Type used to represent sizes in the digital space. More...

typedef PointVector< dim, Integer >	Point
	Points in DGtal::SpaceND. More...

typedef PointVector< dim, Integer >	Vector
	Vectors in DGtal::SpaceND. More...

typedef PointVector< dim, double >	RealPoint

typedef PointVector< dim, double >	RealVector

typedef SpaceND< dim, Integer >	Space
	Type to denote the space itself. More...

typedef Space	Self
	Defined for convenience (same as Space). More...

typedef DGtal::Dimension	Dimension
	Copy of the type used for the dimension. More...

Static Public Member Functions
static void	selfDisplay (std::ostream &out)

Static Public Attributes
static const Dimension	dimension =dim
	static constants to store the dimension. More...

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CInteger< TInteger >))

SpaceND &	operator= (const SpaceND &other)

	SpaceND ()

	~SpaceND ()

Detailed Description

template<Dimension dim, typename TInteger = DGtal::int32_t>
class DGtal::SpaceND< dim, TInteger >

 Description of class 'SpaceND' <p>

 \brief Aim: SpaceND is a utility class that defines the
 fundamental structure of a Digital Space in ND.

 This class just defines fundamental types associated to a digital
 space in dimension n. For instance, it specifies the type of a
 Point lying in this space, the type of a Vector or the type of subspace.

 @tparam dim static constant of type DGtal::Dimension that
 specifies the static  dimension of the space.
 @tparam TInteger specifies the integer number type to use as a
 ring for the computations or as coordinates type. Integer must be
 a model of concepts::CInteger and concepts::CSignedInteger concepts.  

 Example of use:

#include <DGtal/kernel/SpaceND.h>
 
//...
 
//We define the type of a digital domain on dimension 4 using the
//"int" arithmetic ring.
 
typedef SpaceND<4, int> Space4Int;
   
//We deduce the type to represent points in this space
typedef Space4::Point Point4Int;
 
//and we use it (see PointVector documentation).
Point4Int a= {2, 3 , -5 , 6};

Examples: dec/exampleHeatLaplace.cpp, doc-examples/demo-kernel-1.cpp, doc-examples/range.cpp, geometry/surfaces/dvcm-3d.cpp, geometry/tools/determinant/exampleInHalfPlane.cpp, geometry/tools/exampleLatticeBallDelaunay2D.cpp, geometry/volumes/checkFullConvexityTheorems.cpp, geometry/volumes/digitalPolyhedronBuilder3D.cpp, geometry/volumes/exampleBoundedLatticePolytopeCount3D.cpp, geometry/volumes/exampleBoundedLatticePolytopeCount4D.cpp, geometry/volumes/fullConvexityShortestPaths3D.cpp, geometry/volumes/fullConvexitySphereGeodesics.cpp, geometry/volumes/standardDigitalPolyhedronBuilder3D.cpp, io/viewers/demo-kernel-2.cpp, and topology/3dBorderExtraction.cpp.

Definition at line 95 of file SpaceND.h.

Member Typedef Documentation

◆ Dimension

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef DGtal::Dimension DGtal::SpaceND< dim, TInteger >::Dimension

Copy of the type used for the dimension.

Definition at line 129 of file SpaceND.h.

◆ Integer

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef TInteger DGtal::SpaceND< dim, TInteger >::Integer

Arithmetic ring induced by (+,-,*) and Integer numbers.

Definition at line 102 of file SpaceND.h.

◆ Point

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef PointVector<dim,Integer> DGtal::SpaceND< dim, TInteger >::Point

Points in DGtal::SpaceND.

Definition at line 110 of file SpaceND.h.

◆ RealPoint

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef PointVector<dim, double> DGtal::SpaceND< dim, TInteger >::RealPoint

Point with "double" as coordinate type with the same dimension as SpaceND.

Definition at line 117 of file SpaceND.h.

◆ RealVector

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef PointVector<dim, double> DGtal::SpaceND< dim, TInteger >::RealVector

Point with "double" as coordinate type with the same dimension as SpaceND.

Definition at line 121 of file SpaceND.h.

◆ Self

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef Space DGtal::SpaceND< dim, TInteger >::Self

Defined for convenience (same as Space).

Definition at line 126 of file SpaceND.h.

◆ Size

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef size_t DGtal::SpaceND< dim, TInteger >::Size

Type used to represent sizes in the digital space.

Definition at line 107 of file SpaceND.h.

◆ Space

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef SpaceND<dim, Integer> DGtal::SpaceND< dim, TInteger >::Space

Type to denote the space itself.

Definition at line 124 of file SpaceND.h.

◆ UnsignedInteger

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef NumberTraits<Integer>::UnsignedVersion DGtal::SpaceND< dim, TInteger >::UnsignedInteger

Unsigned version of the Integers.

Definition at line 104 of file SpaceND.h.

◆ Vector

template<Dimension dim, typename TInteger = DGtal::int32_t>

typedef PointVector<dim,Integer> DGtal::SpaceND< dim, TInteger >::Vector

Vectors in DGtal::SpaceND.

Definition at line 113 of file SpaceND.h.

Constructor & Destructor Documentation

◆ SpaceND()

template<Dimension dim, typename TInteger = DGtal::int32_t>

DGtal::SpaceND< dim, TInteger >::SpaceND ( )

private

Constructor

◆ ~SpaceND()

template<Dimension dim, typename TInteger = DGtal::int32_t>

DGtal::SpaceND< dim, TInteger >::~SpaceND ( )

private

Destructor.

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

template<Dimension dim, typename TInteger = DGtal::int32_t>

DGtal::SpaceND< dim, TInteger >::BOOST_CONCEPT_ASSERT ( (concepts::CInteger< TInteger >) )

private

◆ operator=()

template<Dimension dim, typename TInteger = DGtal::int32_t>

SpaceND & DGtal::SpaceND< dim, TInteger >::operator= ( const SpaceND< dim, TInteger > & other )

private

Assignment.

Parameters

other the object to copy.

Returns: a reference on 'this'. Forbidden by default.

◆ selfDisplay()

template<Dimension dim, typename TInteger = DGtal::int32_t>

static void DGtal::SpaceND< dim, TInteger >::selfDisplay ( std::ostream & out )

inlinestatic

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

Definition at line 159 of file SpaceND.h.

    {
      out << "[SpaceND dim=" << dimension << " size of Integers=" << sizeof( Integer ) << " ]";
    }

References DGtal::SpaceND< dim, TInteger >::dimension.

Field Documentation

◆ dimension

template<Dimension dim, typename TInteger = DGtal::int32_t>

const Dimension DGtal::SpaceND< dim, TInteger >::dimension =dim

static

static constants to store the dimension.

Definition at line 132 of file SpaceND.h.

Referenced by DGtal::functors::BasicDomainSubSampler< TDomain, TInteger, TValue >::BasicDomainSubSampler(), checkCvxHPlusHypercubeFullConvexity(), checkFullConvexityCharacterization(), checkProjectionFullConvexity(), checkSkelStarCvxHFullConvexity(), DGtal::EhrhartPolynomial< TSpace, TInteger >::init(), DGtal::DigitalShapesCSG< ShapeA, ShapeB >::intersection(), DGtal::EuclideanShapesCSG< ShapeA, ShapeB >::intersection(), DGtal::functors::IINormalDirectionFunctor< TSpace, TMatrix >::operator()(), DGtal::functors::IITangentDirectionFunctor< TSpace, TMatrix >::operator()(), DGtal::functors::IIFirstPrincipalDirectionFunctor< TSpace, TMatrix >::operator()(), DGtal::functors::IISecondPrincipalDirectionFunctor< TSpace, TMatrix >::operator()(), DGtal::functors::IIPrincipalDirectionsFunctor< TSpace, TMatrix >::operator()(), DGtal::functors::BasicDomainSubSampler< TDomain, TInteger, TValue >::operator()(), DGtal::functors::FlipDomainAxis< TDomain >::operator()(), DGtal::DigitalShapesCSG< ShapeA, ShapeB >::plus(), DGtal::EuclideanShapesCSG< ShapeA, ShapeB >::plus(), DGtal::SpaceND< dim, TInteger >::selfDisplay(), DGtal::HyperRectDomain< TSpace >::size(), testCompareExactBruteForce(), testCompareExactInexact(), and testCompareInexactBruteForce().

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

SpaceND.h

Data Structures

Public Types

Static Public Member Functions

Static Public Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ Dimension

◆ Integer

◆ Point

◆ RealPoint

◆ RealVector

◆ Self

◆ Size

◆ Space

◆ UnsignedInteger

◆ Vector

Constructor & Destructor Documentation

◆ SpaceND()

◆ ~SpaceND()

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

◆ operator=()

◆ selfDisplay()

Field Documentation

◆ dimension