DGtal::concepts::CPreCellularGridSpaceND< T > Struct Template Reference

Aim: This concept describes an unbounded cellular grid space in nD. In these spaces obtained by cartesian product, cells have a cubic shape that depends on the dimension: 0-cells are points, 1-cells are unit segments, 2-cells are squares, 3-cells are cubes, and so on. More...

#include <DGtal/topology/CPreCellularGridSpaceND.h>

Inheritance diagram for DGtal::concepts::CPreCellularGridSpaceND< T >:

Public Types
typedef T::Integer	Integer
typedef T::Space	Space
typedef T::PreCellularGridSpace	PreCellularGridSpace
typedef T::Cell	Cell
typedef T::SCell	SCell
typedef T::Surfel	Surfel
typedef T::Sign	Sign
typedef T::DirIterator	DirIterator
typedef T::Point	Point
typedef T::Vector	Vector
typedef T::Cells	Cells
typedef T::SCells	SCells
typedef T::CellSet	CellSet
typedef T::SCellSet	SCellSet
typedef T::SurfelSet	SurfelSet
typedef int	Dummy
typedef T::template CellMap< Dummy >::Type	CellMap
typedef T::template SCellMap< Dummy >::Type	SCellMap
typedef T::template SurfelMap< Dummy >::Type	SurfelMap

Public Member Functions
	BOOST_CONCEPT_ASSERT ((CInteger< Integer >))
	BOOST_STATIC_ASSERT ((ConceptUtils::SameType< Integer, typename Space::Integer >::value))
	BOOST_STATIC_ASSERT ((ConceptUtils::SameType< Point, typename Space::Point >::value))
	BOOST_STATIC_ASSERT ((ConceptUtils::SameType< Vector, typename Space::Vector >::value))
	BOOST_CONCEPT_ASSERT ((CConstSinglePassRange< Cells >))
	BOOST_CONCEPT_ASSERT ((CConstSinglePassRange< SCells >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< CellSet >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< SCellSet >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< SurfelSet >))
	BOOST_CONCEPT_ASSERT ((boost::SimpleAssociativeContainer< CellSet >))
	BOOST_CONCEPT_ASSERT ((boost::SimpleAssociativeContainer< SCellSet >))
	BOOST_CONCEPT_ASSERT ((boost::SimpleAssociativeContainer< SurfelSet >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< CellMap >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< SCellMap >))
	BOOST_CONCEPT_ASSERT ((boost::UniqueAssociativeContainer< SurfelMap >))
	BOOST_CONCEPT_ASSERT ((boost::PairAssociativeContainer< CellMap >))
	BOOST_CONCEPT_ASSERT ((boost::PairAssociativeContainer< SCellMap >))
	BOOST_CONCEPT_ASSERT ((boost::PairAssociativeContainer< SurfelMap >))
	BOOST_CONCEPT_USAGE (CPreCellularGridSpaceND)
void	checkConstConstraints () const

Private Attributes
T	myX
Integer	myInteger
Dimension	myDim
Point	myP1
Point	myP2
Vector	myV
Cell	myCell
SCell	mySCell
Cell	myMutableCell
SCell	myMutableSCell
bool	myBool
Sign	mySign
DirIterator	myDirIt
Cells	myCells
SCells	mySCells

Detailed Description

template<typename T>
struct DGtal::concepts::CPreCellularGridSpaceND< T >

Aim: This concept describes an unbounded cellular grid space in nD. In these spaces obtained by cartesian product, cells have a cubic shape that depends on the dimension: 0-cells are points, 1-cells are unit segments, 2-cells are squares, 3-cells are cubes, and so on.

Description of concept 'CPreCellularGridSpaceND'

This concept is rather complex since it gathers all possible operations on cells. The idea is that only the space knows what are the cells, how to compute their adjacent or incident cells, how to extract their coordinates, where are the bounds, what is the topology and dimension of a cell, etc. Worse (!), you have two kinds of cells, normal cells (unsigned), and oriented cells (signed). The latter are used to define orientation and boundary operators.

Note

Another way of defining orientation and boundary operators is to define chains on cells and chain complexes. However, this is unnecessary here.

Models of CPreCellularGridSpaceND are used whenever you need to define a topology on a full digital space.

The space size only depends on the given integer precision.

We refer the reader to Cellular grid space and topology, unoriented and oriented cells, incidence for further details.

Refinement of

• boost::DefaultConstructible
• boost::CopyConstructible

Associated types

• Integer: the integral type for representing coordinates in the space (model of CInteger).
• Space: the corresponding digital space (same dimension and same Integer type as this).
• PreCelullarGridSpace: the pre-celullar grid space type associated to this model (can be itself).
• Cell: the type that represents an unsigned cell. Cell's are ordered.
• SCell: the type that represents a signed cell. SCell's are ordered.
• Surfel: the type that represents a signed n-1-cell. Should be promotable to SCell and reciprocally. Surfel's are ordered.
• Sign: the type that represents the sign/orientation of a cell. Should be promotable to bool and reciprocally (POS is true, NEG is false).
• DirIterator: the type that represents an iterator over the open or closed directions of a cell (signed or not).
• Point: the type for defining points in Space (same as Space::Point).
• Vector: the type for defining vectors in Space (same as Space::Vector).
• Cells: a container that stores unsigned cells (not a set, rather a enumerable collection type, model of CConstSinglePassRange).
• SCells: a container that stores signed cells (not a set, rather a enumerable collection type, model of CConstSinglePassRange).
• CellSet: a set container that stores unsigned cells (efficient for queries like find, model of boost::UniqueAssociativeContainer and boost::SimpleAssociativeContainer).
• SCellSet: a set container that stores signed cells (efficient for queries like find, model of boost::UniqueAssociativeContainer and boost::SimpleAssociativeContainer).
• SurfelSet: a set container that stores surfels, i.e. signed n-1-cells (efficient for queries like find, model of boost::UniqueAssociativeContainer and boost::SimpleAssociativeContainer).
• CellMap<Value>: an associative container Cell->Value rebinder type (efficient for key queries). Use as typename X::template CellMap<Value>::Type, which is a model of boost::UniqueAssociativeContainer and boost::PairAssociativeContainer.
• SCellMap<Value>: an associative container SCell->Value rebinder type (efficient for key queries). Use as typename X::template SCellMap<Value>::Type, which is a model of boost::UniqueAssociativeContainer and boost::PairAssociativeContainer.
• SurfelMap<Value>: an associative container Surfel->Value rebinder type (efficient for key queries). Use as typename X::template SurfelMap<Value>::Type, which is a model of boost::UniqueAssociativeContainer and boost::PairAssociativeContainer.

Note

DirIterator should be use as follows:

KSpace x;
Cell c;
for ( KSpace::DirIterator q = x.uDirs( c ); q != 0; ++q )
  {
    Dimension dir = *q;
    ...
  }

Notation

• X : A type that is a model of CPreCellularGridSpaceND
• x : object of type X
• k : object of type Dimension
• i : object of type Integer
• c : object of type Cell
• sc : object of type SCell
• s : object of type Surfel
• p, p1, p2 : object of type Point
• v : object of type Vector
• sign: object of type Sign

Definitions

• digital coordinates are the natural coordinates of the cells of maximal dimension in the cellular space. For instance, it represents the coordinates of the pixels in an image. Two adjacent pixels have digital coordinates that differ by one in the cellular space. It is clear that incident cells (cells of lower dimension) may also have the same digital coordinates.
• Khalimsky coordinates are a way to number cells such that any two cells have different coordinates. More precisely, digital coordinates are doubled and the odd parity depends on whether or not the cell is open along this coordinate axis.
• a spel is a cell of maximal dimension (say n), a surfel is a cell of dimension n-1, a pointel is a cell of dimension 0. Spels have thus all their Khalimsky coordinates odd. Surfels have only one Khalimsky coordinate that is even. Pointels have all their Khalimsky coordinates even.
• the topology of a cell along a dimension k is open if the cell is open along the k-th coordinate axis. We code open with 1 and closed with 0. The topology word of a cell is the integer whose k-th bit is the topology of the cell along the k-th axis. The dimension of a cell is the number of coordinates where the cell is open. It is also the sum of the bits of its topology word.
• adjacent cells to some cell c are cells with the same topology as c but whose one of their digital coordinates differs by one. They are often called 1-adjacent.
• incident cells to some cell c are cells that are either a face of c or such that c is one of their faces.

Valid expressions and semantics

Name	Expression	Type requirements	Return type	Precondition	Semantics	Post condition	Complexity
dimension	X::dimension		Dimension		the dimension of the space
DIM	X::dimension		Dimension		the dimension of the space
POS	X::POS		Sign		the positive sign for cells
NEG	X::NEG		Sign		the negative sign for cells
Make unsigned cell	x.uCell(p)		Cell		returns the unsigned cell with Khalimsky coordinates equal to p
Make unsigned cell	x.uCell(p, c)		Cell		returns the unsigned cell with digital coordinates equal to p and topology equal to c
Make signed cell	x.sCell(p, sign = POS)		SCell		returns the signed cell with Khalimsky coordinates equal to p and sign sign
Make signed cell	x.sCell(p, sc)		SCell		returns the signed cell with digital coordinates equal to p and sign and topology equal to sc
Make unsigned spel	x.uSpel(p)		Cell		returns the unsigned spel with digital coordinates equal to p
Make signed spel	x.sSpel(p, sign = POS)		SCell		returns the signed spel with digital coordinates equal to p and sign sign
Make unsigned pointel	x.uPointel(p)		Cell		returns the unsigned pointel with digital coordinates equal to p
Make signed pointel	x.sPointel(p, sign = POS)		SCell		returns the signed pointel with digital coordinates equal to p and sign sign
Get Khalimsky coordinate	x.uKCoord(c, k)		Integer		returns the Khalimsky coordinate of cell c along axis k
Get digital coordinate	x.uCoord(c, k)		Integer		returns the digital coordinate of cell c along axis k
Get Khalimsky coordinates	x.uKCoords(c)		Point		returns the Khalimsky coordinates of cell c
Get digital coordinates	x.uCoords(c)		Point		returns the digital coordinates of cell c
Get Khalimsky coordinate	x.sKCoord(sc, k)		Integer		returns the Khalimsky coordinate of signed cell sc along axis k
Get digital coordinate	x.sCoord(sc, k)		Integer		returns the digital coordinate of signed cell sc along axis k
Get Khalimsky coordinates	x.sKCoords(sc, k)		Point		returns the Khalimsky coordinates of signed cell sc
Get digital coordinates	x.sCoords(sc, k)		Point		returns the digital coordinates of signed cell sc
Set Khalimsky coordinate	x.uSetKCoord(c,k,i)				Sets the k-th Khalimsky coordinate of c to i
Set digital coordinate	x.uSetCoord(c,k,i)				Sets the k-th digital coordinate of c to i
Set Khalimsky coordinates	x.uSetKCoords(c,p)				Sets the Khalimsky coordinates of c to p
Set digital coordinates	x.uSetCoords(c,p)				Sets the digital coordinates of c to p
Set Khalimsky coordinate	x.sSetKCoord(sc,k,i)				Sets the k-th Khalimsky coordinate of sc to i
Set digital coordinate	x.sSetCoord(sc,k,i)				Sets the k-th digital coordinate of sc to i
Set Khalimsky coordinates	x.sSetKCoords(sc,p)				Sets the Khalimsky coordinates of sc to p
Set digital coordinates	x.sSetCoords(sc,p)				Sets the digital coordinates of sc to p
Sign/orient cell	x.signs(c,sign)				returns the signed cell with same topology as c and sign sign
Change sign	x.sSetSign(sc, sign)				Sets the sign of the signed cell sc to sign
Get sign	x.sSign(sc)		Sign		returns the sign of cell sc
Unsign/unorient signed cell	x.unsigns(sc)				returns the unsigned cell with same topology as sc
Flip sign	x.sOpp(sc)				returns the signed cell with opposite sign to sc
Get topology word	x.uTopology(c)		Integer		returns the topology word of unsigned cell c
Get topology word	x.sTopology(sc)		Integer		returns the topology word of signed cell sc
Get cell dimension	x.uDim(c)		Dimension		returns the dimension of the unsigned cell c
Get cell dimension	x.sDim(sc)		Dimension		returns the dimension of the signed cell sc
Surfel test	x.uIsSurfel(s)		bool		returns 'true' iff the unsigned cell c has dimension n-1
Surfel test	x.sIsSurfel(sc)		bool		returns 'true' iff the signed cell sc has dimension n-1
Open test	x.uIsOpen(c,k)		bool		returns 'true' iff the unsigned cell c is open along the k-th axis
Open test	x.sIsOpen(sc,k)		bool		returns 'true' iff the signed cell sc is open along the k-th axis
Get open directions	x.uDirs(c)		DirIterator		returns a kind of iterator that enumerates the open directions of c
Get open directions	x.sDirs(sc)		DirIterator		returns a kind of iterator that enumerates the open directions of sc
Get closed directions	x.uOrthDirs(c)		DirIterator		returns a kind of iterator that enumerates the closed directions of c
Get closed directions	x.sOrthDirs(sc)		DirIterator		returns a kind of iterator that enumerates the closed directions of sc
Get closed direction of surfel	x.uOrthDir(c)	x.uIsSurfel(c)	Dimension		returns the closed direction of the n-1-cell c
Get closed direction of surfel	x.sOrthDir(sc)	x.sIsSurfel(sc)	Dimension		returns the closed direction of the signed n-1-cell sc
Get next cell along some axis	x.uGetIncr(c,k)		Cell		returns the same cell as c except the k-th coordinate that is incremented
Get previous cell along some axis	x.uGetDecr(c,k)		Cell		returns the same cell as c except the k-th coordinate that is decremented
Maximal coordinate test	x.uIsMax(c,k)		bool		returns 'true' iff the cell has the maximal possible k-th coordinate
Minimal coordinate test	x.uIsMin(c,k)		bool		returns 'true' iff the cell has the minimal possible k-th coordinate
Inside test along some axis	x.uIsInside(c,k)		bool		returns 'true' iff the cell c has a valid k-th coordinate
Get cell further along some axis	x.uGetAdd(c,k,i)		Cell		returns the same cell as c except the k-th coordinate that is increased by i
Get cell before along some axis	x.uGetSub(c,k,i)		Cell		returns the same cell as c except the k-th coordinate that is decreased by i
Get the translation of a cell	x.uTranslation(c,v)		Cell		returns the cell that is the translation of c by the vector v
Get the projection of a cell	x.uProjection(c,bc,k)	bc is a Cell	Cell		returns the same cell as c except for the k-th coordinate that is equal to the one of bc
Projection of a cell	x.uProject(c,bc,k)	bc is a Cell			modifies cell c such that its k-th coordinate that is equal to the one of bc
Next cell within bounds	x.uNext(c,lc,uc)	lc, uc are Cell	bool		cell c becomes the next cell with same topology within lower and upper bounds lc and uc, returns 'true' iff c is still within bounds
Get next cell along some axis	x.sGetIncr(sc,k)		SCell		returns the same cell as sc except the k-th coordinate that is incremented
Get previous cell along some axis	x.sGetDecr(sc,k)		SCell		returns the same cell as sc except the k-th coordinate that is decremented
Maximal coordinate test	x.sIsMax(sc,k)		bool		returns 'true' iff the cell has the maximal possible k-th coordinate
Minimal coordinate test	x.sIsMin(sc,k)		bool		returns 'true' iff the cell has the minimal possible k-th coordinate
Inside test along some axis	x.sIsInside(sc,k)		bool		returns 'true' iff the cell sc has a valid k-th coordinate
Get cell further along some axis	x.sGetAdd(sc,k,i)		SCell		returns the same cell as sc except the k-th coordinate that is increased by i
Get cell before along some axis	x.sGetSub(sc,k,i)		SCell		returns the same cell as sc except the k-th coordinate that is decreased by i
Get the translation of a cell	x.sTranslation(sc,v)		SCell		returns the cell that is the translation of sc by the vector v
Get the projection of a cell	x.sProjection(sc,bc,k)	bc is a SCell	SCell		returns the same cell as sc except for the k-th coordinate that is equal to the one of bc
Projection of a cell	x.sProject(sc,bc,k)	bc is a SCell			modifies cell sc such that its k-th coordinate that is equal to the one of bc
Next cell within bounds	x.sNext(sc,lc,uc)	lc, uc are SCell	bool		cell sc becomes the next cell with same topology within lower and upper bounds lc and uc, returns 'true' iff sc is still within bounds
Neighborhood	x.uNeighborhood(c)		Cells		returns the range of cells that forms the 1-neighborhood of c
Neighborhood	x.sNeighborhood(sc)		SCells		returns the range of signed cells that forms the 1-neighborhood of sc
Proper neighborhood	x.uProperNeighborhood(c)		Cells		returns the range of cells that forms the proper 1-neighborhood of c, hence without c itself
Proper neighborhood	x.sProperNeighborhood(sc)		SCells		returns the range of signed cells that forms the proper 1-neighborhood of sc, hence without sc itself
Adjacent cell	x.uAdjacent(c,k,b)	b is a bool	Cell		return the cell adjacent to c along axis k either with greater coordinate (b is true) or lesser
Adjacent cell	x.sAdjacent(sc,k,b)	b is a bool	SCell		return the signed cell adjacent to sc along axis k either with greater coordinate (b is true) or lesser
Incident cell	x.uIncident(c,k,b)	b is a bool	Cell		return the cell incident to c along axis k either with greater coordinate (b is true) or lesser
Incident cell	x.sIncident(sc,k,b)	b is a bool	SCell		return the signed cell incident to sc along axis k either with greater coordinate (b is true) or lesser
Lower incident cells	x.uLowerIncident(c)		Cells		return all the cells just lower incident to c (1-dim less)
Lower incident cells	x.sLowerIncident(sc)		SCells		return all the signed cells just lower incident to sc (1-dim less)
Upper incident cells	x.uUpperIncident(c)		Cells		return all the cells just upper incident to c (1-dim more)
Upper incident cells	x.sUpperIncident(sc)		SCells		return all the signed cells just upper incident to c (1-dim more)
Faces of a cell	x.uFaces(c)		Cells		return all the faces of the cell c
Co-Faces of a cell	x.uCoFaces(c)		Cells		return all the co-faces of the cell c
Direct orientation	x.sDirect(sc,k)		bool		return the direct orientation of cell sc along axis k
Direct incident cell	x.sDirectIncident(sc,k)		SCell		return the signed cell that is the direct incident cell to sc along axis k
Indirect incident cell	x.sIndirectIncident(sc,k)		SCell		return the signed cell that is the indirect incident cell to sc along axis k
Interior voxel	x.interiorVoxel(sc )		Point	sc must be a (n-1)-scell	return the interior voxel of a signed surfel
Exterior voxel	x.exteriorVoxel(sc)		Point	sc must be a (n-1)-scell	return the exterior voxel of a signed surfel

Invariants

Models

• KhalimskyPreSpaceND

Notes

Template Parameters

T	the type that should be a model of CPreCellularGridSpaceND.

Definition at line 285 of file CPreCellularGridSpaceND.h.

Member Typedef Documentation

Cell

template<typename T >

typedef T::Cell DGtal::concepts::CPreCellularGridSpaceND< T >::Cell

Definition at line 293 of file CPreCellularGridSpaceND.h.

CellMap

template<typename T >

typedef T::template CellMap<Dummy>::Type DGtal::concepts::CPreCellularGridSpaceND< T >::CellMap

Definition at line 306 of file CPreCellularGridSpaceND.h.

Cells

template<typename T >

typedef T::Cells DGtal::concepts::CPreCellularGridSpaceND< T >::Cells

Definition at line 300 of file CPreCellularGridSpaceND.h.

CellSet

template<typename T >

typedef T::CellSet DGtal::concepts::CPreCellularGridSpaceND< T >::CellSet

Definition at line 302 of file CPreCellularGridSpaceND.h.

DirIterator

template<typename T >

typedef T::DirIterator DGtal::concepts::CPreCellularGridSpaceND< T >::DirIterator

Definition at line 297 of file CPreCellularGridSpaceND.h.

Dummy

template<typename T >

typedef int DGtal::concepts::CPreCellularGridSpaceND< T >::Dummy

Definition at line 305 of file CPreCellularGridSpaceND.h.

Integer

template<typename T >

typedef T::Integer DGtal::concepts::CPreCellularGridSpaceND< T >::Integer

Definition at line 290 of file CPreCellularGridSpaceND.h.

Point

template<typename T >

typedef T::Point DGtal::concepts::CPreCellularGridSpaceND< T >::Point

Definition at line 298 of file CPreCellularGridSpaceND.h.

PreCellularGridSpace

template<typename T >

typedef T::PreCellularGridSpace DGtal::concepts::CPreCellularGridSpaceND< T >::PreCellularGridSpace

Definition at line 292 of file CPreCellularGridSpaceND.h.

SCell

template<typename T >

typedef T::SCell DGtal::concepts::CPreCellularGridSpaceND< T >::SCell

Definition at line 294 of file CPreCellularGridSpaceND.h.

SCellMap

template<typename T >

typedef T::template SCellMap<Dummy>::Type DGtal::concepts::CPreCellularGridSpaceND< T >::SCellMap

Definition at line 307 of file CPreCellularGridSpaceND.h.

SCells

template<typename T >

typedef T::SCells DGtal::concepts::CPreCellularGridSpaceND< T >::SCells

Definition at line 301 of file CPreCellularGridSpaceND.h.

SCellSet

template<typename T >

typedef T::SCellSet DGtal::concepts::CPreCellularGridSpaceND< T >::SCellSet

Definition at line 303 of file CPreCellularGridSpaceND.h.

Sign

template<typename T >

typedef T::Sign DGtal::concepts::CPreCellularGridSpaceND< T >::Sign

Definition at line 296 of file CPreCellularGridSpaceND.h.

Space

template<typename T >

typedef T::Space DGtal::concepts::CPreCellularGridSpaceND< T >::Space

Definition at line 291 of file CPreCellularGridSpaceND.h.

Surfel

template<typename T >

typedef T::Surfel DGtal::concepts::CPreCellularGridSpaceND< T >::Surfel

Definition at line 295 of file CPreCellularGridSpaceND.h.

SurfelMap

template<typename T >

typedef T::template SurfelMap<Dummy>::Type DGtal::concepts::CPreCellularGridSpaceND< T >::SurfelMap

Definition at line 308 of file CPreCellularGridSpaceND.h.

SurfelSet

template<typename T >

typedef T::SurfelSet DGtal::concepts::CPreCellularGridSpaceND< T >::SurfelSet

Definition at line 304 of file CPreCellularGridSpaceND.h.

Vector

template<typename T >

typedef T::Vector DGtal::concepts::CPreCellularGridSpaceND< T >::Vector

Definition at line 299 of file CPreCellularGridSpaceND.h.

Member Function Documentation

BOOST_CONCEPT_ASSERT() [1/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::PairAssociativeContainer< CellMap >)

)

BOOST_CONCEPT_ASSERT() [2/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::PairAssociativeContainer< SCellMap >)

)

BOOST_CONCEPT_ASSERT() [3/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::PairAssociativeContainer< SurfelMap >)

)

BOOST_CONCEPT_ASSERT() [4/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::SimpleAssociativeContainer< CellSet >)

)

BOOST_CONCEPT_ASSERT() [5/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::SimpleAssociativeContainer< SCellSet >)

)

BOOST_CONCEPT_ASSERT() [6/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::SimpleAssociativeContainer< SurfelSet >)

)

BOOST_CONCEPT_ASSERT() [7/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< CellMap >)

)

BOOST_CONCEPT_ASSERT() [8/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< CellSet >)

)

BOOST_CONCEPT_ASSERT() [9/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< SCellMap >)

)

BOOST_CONCEPT_ASSERT() [10/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< SCellSet >)

)

BOOST_CONCEPT_ASSERT() [11/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< SurfelMap >)

)

BOOST_CONCEPT_ASSERT() [12/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(boost::UniqueAssociativeContainer< SurfelSet >)

)

BOOST_CONCEPT_ASSERT() [13/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(CConstSinglePassRange< Cells >)

)

BOOST_CONCEPT_ASSERT() [14/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(CConstSinglePassRange< SCells >)

)

BOOST_CONCEPT_ASSERT() [15/15]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_ASSERT

(

(CInteger< Integer >)

)

BOOST_CONCEPT_USAGE()

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_USAGE ( CPreCellularGridSpaceND< T > )

inline

Definition at line 329 of file CPreCellularGridSpaceND.h.

  {
    ConceptUtils::sameType( myDim, T::dimension );
    ConceptUtils::sameType( myDim, T::DIM );
    ConceptUtils::sameType( mySign, T::POS );
    ConceptUtils::sameType( mySign, T::NEG );
    checkConstConstraints();
  }

References DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints(), DGtal::concepts::CPreCellularGridSpaceND< T >::myDim, DGtal::concepts::CPreCellularGridSpaceND< T >::mySign, and DGtal::concepts::ConceptUtils::sameType().

BOOST_STATIC_ASSERT() [1/3]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_STATIC_ASSERT

(

(ConceptUtils::SameType< Integer, typename Space::Integer >::value)

)

BOOST_STATIC_ASSERT() [2/3]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_STATIC_ASSERT

(

(ConceptUtils::SameType< Point, typename Space::Point >::value)

)

BOOST_STATIC_ASSERT() [3/3]

template<typename T >

DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_STATIC_ASSERT

(

(ConceptUtils::SameType< Vector, typename Space::Vector >::value)

)

checkConstConstraints()

template<typename T >

void DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints ( ) const

inline

Definition at line 337 of file CPreCellularGridSpaceND.h.

  {
    ConceptUtils::sameType( myCell, myX.uCell( myP1 ) );
    ConceptUtils::sameType( myCell, myX.uCell( myP1, myCell ) );
    ConceptUtils::sameType( mySCell, myX.sCell( myP1 ) );
    ConceptUtils::sameType( mySCell, myX.sCell( myP1, mySign ) );
    ConceptUtils::sameType( mySCell, myX.sCell( myP1, mySCell ) );
    ConceptUtils::sameType( myCell, myX.uSpel( myP1 ) );
    ConceptUtils::sameType( mySCell, myX.sSpel( myP1 ) );
    ConceptUtils::sameType( mySCell, myX.sSpel( myP1, myBool ) );
    ConceptUtils::sameType( myCell, myX.uPointel( myP1 ) );
    ConceptUtils::sameType( mySCell, myX.sPointel( myP1 ) );
    ConceptUtils::sameType( mySCell, myX.sPointel( myP1, myBool ) );
    ConceptUtils::sameType( myInteger, myX.uKCoord( myCell, myDim ) );
    ConceptUtils::sameType( myInteger, myX.uCoord( myCell, myDim ) );
    ConceptUtils::sameType( myP1, myX.uKCoords( myCell ) );
    ConceptUtils::sameType( myP1, myX.uCoords( myCell ) );
    ConceptUtils::sameType( myInteger, myX.sKCoord( mySCell, myDim ) );
    ConceptUtils::sameType( myInteger, myX.sCoord( mySCell, myDim ) );
    ConceptUtils::sameType( myP1, myX.sKCoords( mySCell ) );
    ConceptUtils::sameType( myP1, myX.sCoords( mySCell ) );
    myX.uSetKCoord( myMutableCell, myDim, myInteger );
    myX.uSetCoord( myMutableCell, myDim, myInteger );
    myX.uSetKCoords( myMutableCell, myP1 );
    myX.uSetCoords( myMutableCell, myP1 );
    myX.sSetKCoord( myMutableSCell, myDim, myInteger );
    myX.sSetCoord( myMutableSCell, myDim, myInteger );
    myX.sSetKCoords( myMutableSCell, myP1 );
    myX.sSetCoords( myMutableSCell, myP1 );
    ConceptUtils::sameType( mySign, myX.sSign( mySCell ) );
    myX.sSetSign( myMutableSCell, mySign );
    ConceptUtils::sameType( mySCell, myX.signs( myCell, mySign ) );
    ConceptUtils::sameType( mySCell, myX.sOpp( mySCell ) );
    ConceptUtils::sameType( myCell, myX.unsigns( mySCell ) );
    ConceptUtils::sameType( myInteger, myX.uTopology( myCell ) );
    ConceptUtils::sameType( myInteger, myX.sTopology( mySCell ) );
    ConceptUtils::sameType( myDim, myX.uDim( myCell ) );
    ConceptUtils::sameType( myDim, myX.sDim( mySCell ) );
    ConceptUtils::sameType( myBool, myX.uIsSurfel( myCell ) );
    ConceptUtils::sameType( myBool, myX.sIsSurfel( mySCell ) );
    ConceptUtils::sameType( myBool, myX.uIsOpen( myCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.sIsOpen( mySCell, myDim ) );
    ConceptUtils::sameType( myDirIt, myX.uDirs( myCell ) );
    ConceptUtils::sameType( myDirIt, myX.sDirs( mySCell ) );
    ConceptUtils::sameType( myDirIt, myX.uOrthDirs( myCell ) );
    ConceptUtils::sameType( myDirIt, myX.sOrthDirs( mySCell ) );
    ConceptUtils::sameType( myDim, myX.uOrthDir( myCell ) );
    ConceptUtils::sameType( myDim, myX.sOrthDir( mySCell ) );
    // -------------------- Unsigned cell geometry services --------------------
    ConceptUtils::sameType( myCell, myX.uGetIncr( myCell, myDim ) );
    ConceptUtils::sameType( myCell, myX.uGetDecr( myCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.uIsMax( myCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.uIsMin( myCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.uIsInside( myCell, myDim ) );
    ConceptUtils::sameType( myCell, myX.uGetAdd( myCell, myDim, myInteger ) );
    ConceptUtils::sameType( myCell, myX.uGetSub( myCell, myDim, myInteger ) );
    ConceptUtils::sameType( myCell, myX.uTranslation( myCell, myV ) );
    ConceptUtils::sameType( myCell, myX.uProjection( myCell, myCell, myDim ) );
    myX.uProject( myMutableCell, myCell, myDim );
    ConceptUtils::sameType( myBool, myX.uNext( myMutableCell, myCell, myCell ) );
    // -------------------- Signed cell geometry services --------------------
    ConceptUtils::sameType( mySCell, myX.sGetIncr( mySCell, myDim ) );
    ConceptUtils::sameType( mySCell, myX.sGetDecr( mySCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.sIsMax( mySCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.sIsMin( mySCell, myDim ) );
    ConceptUtils::sameType( myBool, myX.sIsInside( mySCell, myDim ) );
    ConceptUtils::sameType( mySCell, myX.sGetAdd( mySCell, myDim, myInteger ) );
    ConceptUtils::sameType( mySCell, myX.sGetSub( mySCell, myDim, myInteger ) );
    ConceptUtils::sameType( mySCell, myX.sTranslation( mySCell, myV ) );
    ConceptUtils::sameType( mySCell, myX.sProjection( mySCell, mySCell, myDim ) );
    myX.sProject( myMutableSCell, mySCell, myDim );
    ConceptUtils::sameType( myBool, myX.sNext( myMutableSCell, mySCell, mySCell ) );
    // ----------------------- Neighborhood services --------------------------
    ConceptUtils::sameType( myCells, myX.uNeighborhood( myCell ) );
    ConceptUtils::sameType( myCells, myX.uProperNeighborhood( myCell ) );
    ConceptUtils::sameType( mySCells, myX.sNeighborhood( mySCell ) );
    ConceptUtils::sameType( mySCells, myX.sProperNeighborhood( mySCell ) );
    ConceptUtils::sameType( myCell, myX.uAdjacent( myCell, myDim, myBool ) );
    ConceptUtils::sameType( mySCell, myX.sAdjacent( mySCell, myDim, myBool ) );
    // ----------------------- Incidence services --------------------------
    ConceptUtils::sameType( myCell, myX.uIncident( myCell, myDim, myBool ) );
    ConceptUtils::sameType( mySCell, myX.sIncident( mySCell, myDim, myBool ) );
    ConceptUtils::sameType( myCells, myX.uLowerIncident( myCell ) );
    ConceptUtils::sameType( myCells, myX.uUpperIncident( myCell ) );
    ConceptUtils::sameType( mySCells, myX.sLowerIncident( mySCell ) );
    ConceptUtils::sameType( mySCells, myX.sUpperIncident( mySCell ) );
    ConceptUtils::sameType( myCells, myX.uFaces( myCell ) );
    ConceptUtils::sameType( myCells, myX.uCoFaces( myCell ) );
    ConceptUtils::sameType( myBool, myX.sDirect( mySCell, myDim ) );
    ConceptUtils::sameType( mySCell, myX.sDirectIncident( mySCell, myDim ) );
    ConceptUtils::sameType( mySCell, myX.sIndirectIncident( mySCell, myDim ) );
    ConceptUtils::sameType( mySCell, myX.sIndirectIncident( mySCell, myDim ) );
    ConceptUtils::sameType( myP1, myX.interiorVoxel( mySCell) );
    ConceptUtils::sameType( myP1, myX.exteriorVoxel( mySCell) );
 
}

References DGtal::concepts::CPreCellularGridSpaceND< T >::myBool, DGtal::concepts::CPreCellularGridSpaceND< T >::myCell, DGtal::concepts::CPreCellularGridSpaceND< T >::myCells, DGtal::concepts::CPreCellularGridSpaceND< T >::myDim, DGtal::concepts::CPreCellularGridSpaceND< T >::myDirIt, DGtal::concepts::CPreCellularGridSpaceND< T >::myInteger, DGtal::concepts::CPreCellularGridSpaceND< T >::myMutableCell, DGtal::concepts::CPreCellularGridSpaceND< T >::myMutableSCell, DGtal::concepts::CPreCellularGridSpaceND< T >::myP1, DGtal::concepts::CPreCellularGridSpaceND< T >::mySCell, DGtal::concepts::CPreCellularGridSpaceND< T >::mySCells, DGtal::concepts::CPreCellularGridSpaceND< T >::mySign, DGtal::concepts::CPreCellularGridSpaceND< T >::myV, DGtal::concepts::CPreCellularGridSpaceND< T >::myX, and DGtal::concepts::ConceptUtils::sameType().

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_USAGE().

Field Documentation

myBool

template<typename T >

bool DGtal::concepts::CPreCellularGridSpaceND< T >::myBool

private

Definition at line 444 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myCell

template<typename T >

Cell DGtal::concepts::CPreCellularGridSpaceND< T >::myCell

private

Definition at line 440 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myCells

template<typename T >

Cells DGtal::concepts::CPreCellularGridSpaceND< T >::myCells

private

Definition at line 447 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myDim

template<typename T >

Dimension DGtal::concepts::CPreCellularGridSpaceND< T >::myDim

private

Definition at line 437 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_USAGE(), and DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myDirIt

template<typename T >

DirIterator DGtal::concepts::CPreCellularGridSpaceND< T >::myDirIt

private

Definition at line 446 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myInteger

template<typename T >

Integer DGtal::concepts::CPreCellularGridSpaceND< T >::myInteger

private

Definition at line 436 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myMutableCell

template<typename T >

Cell DGtal::concepts::CPreCellularGridSpaceND< T >::myMutableCell

mutableprivate

Definition at line 442 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myMutableSCell

template<typename T >

SCell DGtal::concepts::CPreCellularGridSpaceND< T >::myMutableSCell

mutableprivate

Definition at line 443 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myP1

template<typename T >

Point DGtal::concepts::CPreCellularGridSpaceND< T >::myP1

private

Definition at line 438 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myP2

template<typename T >

Point DGtal::concepts::CPreCellularGridSpaceND< T >::myP2

private

Definition at line 438 of file CPreCellularGridSpaceND.h.

mySCell

template<typename T >

SCell DGtal::concepts::CPreCellularGridSpaceND< T >::mySCell

private

Definition at line 441 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

mySCells

template<typename T >

SCells DGtal::concepts::CPreCellularGridSpaceND< T >::mySCells

private

Definition at line 448 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

mySign

template<typename T >

Sign DGtal::concepts::CPreCellularGridSpaceND< T >::mySign

private

Definition at line 445 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::BOOST_CONCEPT_USAGE(), and DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myV

template<typename T >

Vector DGtal::concepts::CPreCellularGridSpaceND< T >::myV

private

Definition at line 439 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

myX

template<typename T >

T DGtal::concepts::CPreCellularGridSpaceND< T >::myX

private

Definition at line 435 of file CPreCellularGridSpaceND.h.

Referenced by DGtal::concepts::CPreCellularGridSpaceND< T >::checkConstConstraints().

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

• CPreCellularGridSpaceND.h