testKhalimskySpaceND.cpp File Reference

#include <cstddef>
#include <algorithm>
#include "DGtal/base/Common.h"
#include "DGtal/kernel/SpaceND.h"
#include "DGtal/kernel/domains/HyperRectDomain.h"
#include "DGtal/topology/KhalimskySpaceND.h"
#include "DGtal/topology/KhalimskyPreSpaceND.h"
#include "DGtal/topology/CCellularGridSpaceND.h"
#include "DGtal/topology/CPreCellularGridSpaceND.h"
#include "DGtal/topology/SurfelAdjacency.h"
#include "DGtal/topology/SurfelNeighborhood.h"
#include "DGtal/shapes/Shapes.h"
#include "DGtal/topology/helpers/Surfaces.h"
#include "DGtal/io/boards/Board2D.h"
#include "DGtal/io/Color.h"
#include "DGtalCatch.h"

Include dependency graph for testKhalimskySpaceND.cpp:

Go to the source code of this file.

Functions
template<typename KSpace >
void	testScan (KSpace const &K, typename KSpace::Point const &low, typename KSpace::Point const &high)
template<typename KSpace , typename Cells >
void	cmpUCellsIfInside (KSpace const &K, typename KSpace::Cells const &u, Cells const &v)
template<typename KSpace , typename Cells >
void	cmpSCellsIfInside (KSpace const &K, typename KSpace::SCells const &u, Cells const &v)
template<typename KSpace >
void	testNeighborhood (KSpace const &K, typename KSpace::Point const &aPoint)
template<typename KSpace >
void	testFaces (KSpace const &K, typename KSpace::Point const &aPoint)
template<typename KSpace >
void	testIncidence (KSpace const &K, typename KSpace::Point const &aPoint)
template<typename KSpace >
void	testDirectIncidence (KSpace const &K, typename KSpace::Point const &aPoint)
template<typename KSpace >
void	testSurfelAdjacency (KSpace const &K)
template<typename KSpace >
void	testCellDrawOnBoard (KSpace const &K)
template<typename KSpace >
void	testFindABel (KSpace const &K)
template<typename KSpace >
void	testCellularGridSpaceNDFaces (KSpace const &K)
template<typename KSpace >
void	testCellularGridSpaceNDCoFaces (KSpace const &K)
	TEST_CASE ("Checking concepts")
	TEST_CASE ("2D Khalimsky pre-space", "[KPreSpace][2D]")
	TEST_CASE ("3D Khalimsky pre-space", "[KPreSpace][3D]")
	TEST_CASE ("4D Khalimsky pre-space", "[KPreSpace][4D]")
	TEST_CASE ("3D closed Khalimsky space", "[KSpace][3D][closed]")
	TEST_CASE ("2D closed Khalimsky space", "[KSpace][2D][closed]")
	TEST_CASE ("4D closed Khalimsky space", "[KSpace][4D][closed]")
	TEST_CASE ("2D open Khalimsky space", "[KSpace][2D][open]")
	TEST_CASE ("3D open Khalimsky space", "[KSpace][3D][open]")
	TEST_CASE ("2D periodic Khalimsky space", "[KSpace][2D][periodic]")
	TEST_CASE ("3D periodic Khalimsky space", "[KSpace][3D][periodic]")
	TEST_CASE ("2D mixed Khalimsky space", "[KSpace][2D][closed][periodic]")
	TEST_CASE ("3D mixed Khalimsky space", "[KSpace][3D][closed][periodic][open]")

Detailed Description

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Author

Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-smb.nosp@m..fr ) LAboratory of MAthematics - LAMA (CNRS, UMR 5127), University of Savoie Mont Blanc, France

Roland Denis (rolan.nosp@m.d.de.nosp@m.nis@u.nosp@m.niv-.nosp@m.smb.f.nosp@m.r ) LAboratory of MAthematics - LAMA (CNRS, UMR 5127), University of Savoie Mont Blanc, France

Date

2016/03/23

Functions for testing classes KhalimskySpaceND and KhalimskyPreSpaceND.

This file is part of the DGtal library.

Definition in file testKhalimskySpaceND.cpp.

Function Documentation

cmpSCellsIfInside()

template<typename KSpace , typename Cells >

void cmpSCellsIfInside	(	KSpace const &	K,
		typename KSpace::SCells const &	u,
		Cells const &	v
	)

Comparing signed cells list that are inside a Khalimsky space.

Template Parameters

KSpace	the Khalimsky space type.
Cells	the second signed cell list.

Parameters

K	the Khalimsky space.
u	an signed cell list from K.
v	an signed cell list from an another Khalimsky space.

Definition at line 170 of file testKhalimskySpaceND.cpp.

{
  REQUIRE( u.size() <= v.size() );
 
  std::size_t cnt = 0;
 
  // Scanning the lists
  for( auto const & cell : v )
    {
      if ( ! K.sIsInside( cell ) )
        continue;
 
      REQUIRE( std::find( u.cbegin(), u.cend(), K.sCell( cell ) ) != u.cend() );
 
      ++cnt;
    }
 
  // Checking counter
  REQUIRE( u.size() == cnt );
}

References cnt, K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), and DGtal::KhalimskySpaceND< dim, TInteger >::sIsInside().

Referenced by testNeighborhood().

cmpUCellsIfInside()

template<typename KSpace , typename Cells >

void cmpUCellsIfInside	(	KSpace const &	K,
		typename KSpace::Cells const &	u,
		Cells const &	v
	)

Comparing unsigned cells list that are inside a Khalimsky space.

Template Parameters

KSpace	the Khalimsky space type.
Cells	the second unsigned cell list.

Parameters

K	the Khalimsky space.
u	an unsigned cell list from K.
v	an unsigned cell list from an another Khalimsky space.

Definition at line 136 of file testKhalimskySpaceND.cpp.

{
  REQUIRE( u.size() <= v.size() );
 
  std::size_t cnt = 0;
 
  // Scanning the lists
  for( auto const & cell : v )
    {
      if ( ! K.uIsInside( cell ) )
        continue;
 
      REQUIRE( std::find( u.cbegin(), u.cend(), K.uCell( cell ) ) != u.cend() );
 
      ++cnt;
    }
 
  // Checking counter
  REQUIRE( u.size() == cnt );
}

References cnt, K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::uCell(), and DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside().

Referenced by testFaces(), and testNeighborhood().

TEST_CASE() [1/13]

TEST_CASE	(	"2D closed Khalimsky space"	,
		""	[KSpace][2D][closed]
	)

Definition at line 782 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<2> K;
  const bool spaceOK = K.init( {-3, -3}, {5, 3}, K.CLOSED );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2}, {1, 2} );
  testNeighborhood( K, {0, 0} );
  testNeighborhood( K, {-2, 3} );
  testFaces( K, {0, 0} );
  testFaces( K, {-2, 3} );
  testIncidence( K, {0, 0} );
  testDirectIncidence( K, {0, 0} );
  testSurfelAdjacency( K );
  testCellDrawOnBoard( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::CLOSED, DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, REQUIRE(), testCellDrawOnBoard(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [2/13]

TEST_CASE	(	"2D Khalimsky pre-space"	,
		""	[KPreSpace][2D]
	)

Definition at line 720 of file testKhalimskySpaceND.cpp.

{
  const KhalimskyPreSpaceND<2> K{};
  INFO( "Khalimsky space is " << K );
 
  testScan( K, {-1, -2}, {1, 2} );
  testIncidence( K, {0, 0} );
  testDirectIncidence( K, {0, 0} );
  testSurfelAdjacency( K );
  testCellDrawOnBoard( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References K, testCellDrawOnBoard(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testIncidence(), testScan(), and testSurfelAdjacency().

TEST_CASE() [3/13]

TEST_CASE	(	"2D mixed Khalimsky space"	,
		""	[KSpace][2D][closed][periodic]
	)

Definition at line 902 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<2> K;
  const bool spaceOK = K.init( {-3, -3}, {5, 2}, {{ K.CLOSED, K.PERIODIC }} );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, 2}, {1, 5} );
  testNeighborhood( K, {0, 0} );
  testNeighborhood( K, {-2, 4} );
  testFaces( K, {0, 0} );
  testFaces( K, {-2, 4} );
  testIncidence( K, {0, 3} );
  testDirectIncidence( K, {0, 3} );
  testSurfelAdjacency( K );
  testCellDrawOnBoard( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::CLOSED, DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::PERIODIC, REQUIRE(), testCellDrawOnBoard(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [4/13]

TEST_CASE	(	"2D open Khalimsky space"	,
		""	[KSpace][2D][open]
	)

Definition at line 822 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<2> K;
  const bool spaceOK = K.init( {-3, -3}, {5, 3}, K.OPEN );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2}, {1, 2} );
  testNeighborhood( K, {0, 0} );
  testNeighborhood( K, {-2, 3} );
  testFaces( K, {0, 0} );
  testFaces( K, {-2, 3} );
  testIncidence( K, {0, 0} );
  testDirectIncidence( K, {0, 0} );
  testSurfelAdjacency( K );
  testCellDrawOnBoard( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::OPEN, REQUIRE(), testCellDrawOnBoard(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [5/13]

TEST_CASE	(	"2D periodic Khalimsky space"	,
		""	[KSpace][2D][periodic]
	)

Definition at line 862 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<2> K;
  const bool spaceOK = K.init( {-2, -3}, {2, 3}, K.PERIODIC );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2}, {1, 2} );
  testNeighborhood( K, {0, 0} );
  testNeighborhood( K, {-2, 3} );
  testFaces( K, {0, 0} );
  testFaces( K, {-2, 3} );
  testIncidence( K, {0, 3} );
  testDirectIncidence( K, {0, 3} );
  testSurfelAdjacency( K );
  testCellDrawOnBoard( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::PERIODIC, REQUIRE(), testCellDrawOnBoard(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [6/13]

TEST_CASE	(	"3D closed Khalimsky space"	,
		""	[KSpace][3D][closed]
	)

Definition at line 762 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<3> K;
  const bool spaceOK = K.init( {-3, -3, -3}, {5, 3, 3}, K.CLOSED );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2, -1}, {1, 2, 2} );
  testNeighborhood( K, {0, 0, 0} );
  testNeighborhood( K, {-2, 3, 2} );
  testFaces( K, {0, 0, 0} );
  testFaces( K, {-2, 3, -3} );
  testIncidence( K, {0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::CLOSED, DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, REQUIRE(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testFindABel(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [7/13]

TEST_CASE	(	"3D Khalimsky pre-space"	,
		""	[KPreSpace][3D]
	)

Definition at line 734 of file testKhalimskySpaceND.cpp.

{
  const KhalimskyPreSpaceND<3> K{};
  INFO( "Khalimsky space is " << K );
 
  testScan( K, {-2, -3, -4}, {1, 2, 4} );
  testIncidence( K, {0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References K, testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFindABel(), testIncidence(), testScan(), and testSurfelAdjacency().

TEST_CASE() [8/13]

TEST_CASE	(	"3D mixed Khalimsky space"	,
		""	[KSpace][3D][closed][periodic][open]
	)

Definition at line 922 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<3> K;
  const bool spaceOK = K.init( {-3, -3, -3}, {5, 3, 1}, {{ K.CLOSED, K.OPEN, K.PERIODIC }} );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2, -1}, {1, 2, 2} );
  testNeighborhood( K, {0, 0, 0} );
  testNeighborhood( K, {-2, 3, 2} );
  testFaces( K, {0, 0, 0} );
  testFaces( K, {-2, 3, -3} );
  testIncidence( K, {0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::CLOSED, DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::OPEN, DGtal::KhalimskySpaceND< dim, TInteger >::PERIODIC, REQUIRE(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testFindABel(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [9/13]

TEST_CASE	(	"3D open Khalimsky space"	,
		""	[KSpace][3D][open]
	)

Definition at line 842 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<3> K;
  const bool spaceOK = K.init( {-3, -3, -3}, {5, 3, 3}, K.OPEN );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2, -1}, {1, 2, 2} );
  testNeighborhood( K, {0, 0, 0} );
  testNeighborhood( K, {-2, 3, 2} );
  testFaces( K, {0, 0, 0} );
  testFaces( K, {-2, 3, -3} );
  testIncidence( K, {0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::OPEN, REQUIRE(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testFindABel(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [10/13]

TEST_CASE	(	"3D periodic Khalimsky space"	,
		""	[KSpace][3D][periodic]
	)

Definition at line 882 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<3> K;
  const bool spaceOK = K.init( {-3, -3, -3}, {2, 2, 3}, K.PERIODIC );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2, -1}, {1, 2, 2} );
  testNeighborhood( K, {0, 0, 0} );
  testNeighborhood( K, {-2, 3, 2} );
  testFaces( K, {0, 0, 0} );
  testFaces( K, {-2, 3, -3} );
  testIncidence( K, {0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::PERIODIC, REQUIRE(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testFindABel(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [11/13]

TEST_CASE	(	"4D closed Khalimsky space"	,
		""	[KSpace][4D][closed]
	)

Definition at line 802 of file testKhalimskySpaceND.cpp.

{
  KhalimskySpaceND<4> K;
  const bool spaceOK = K.init( {-3, -3, -3, -3}, {5, 3, 3, 3}, K.CLOSED );
  INFO( "Khalimsky space is " << K );
  REQUIRE( spaceOK == true );
 
  testScan( K, {-1, -2, 0, 1}, {1, 2, 1, 2} );
  testNeighborhood( K, {0, 0, 0, 0} );
  testNeighborhood( K, {-2, 3, -1, 3} );
  testFaces( K, {0, 0, 0, 0} );
  testFaces( K, {-2, 3, -1, 3} );
  testIncidence( K, {0, 0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::CLOSED, DGtal::KhalimskySpaceND< dim, TInteger >::init(), K, REQUIRE(), testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFaces(), testFindABel(), testIncidence(), testNeighborhood(), testScan(), and testSurfelAdjacency().

TEST_CASE() [12/13]

TEST_CASE	(	"4D Khalimsky pre-space"	,
		""	[KPreSpace][4D]
	)

Definition at line 748 of file testKhalimskySpaceND.cpp.

{
  const KhalimskyPreSpaceND<3> K{};
  INFO( "Khalimsky space is " << K );
 
  testScan( K, {-1, -2, -3, -4}, {1, 0, 1, -1} );
  testIncidence( K, {0, 0, 0, 0} );
  testDirectIncidence( K, {0, 0, 0, 0} );
  testSurfelAdjacency( K );
  testFindABel( K );
  testCellularGridSpaceNDFaces( K );
  testCellularGridSpaceNDCoFaces( K );
}

References K, testCellularGridSpaceNDCoFaces(), testCellularGridSpaceNDFaces(), testDirectIncidence(), testFindABel(), testIncidence(), testScan(), and testSurfelAdjacency().

TEST_CASE() [13/13]

TEST_CASE

(

"Checking concepts"

)

Definition at line 709 of file testKhalimskySpaceND.cpp.

{
  BOOST_CONCEPT_ASSERT(( concepts::CPreCellularGridSpaceND< KhalimskyPreSpaceND<2> > ));
  BOOST_CONCEPT_ASSERT(( concepts::CPreCellularGridSpaceND< KhalimskyPreSpaceND<3> > ));
  BOOST_CONCEPT_ASSERT(( concepts::CPreCellularGridSpaceND< KhalimskyPreSpaceND<4> > ));
 
  BOOST_CONCEPT_ASSERT(( concepts::CCellularGridSpaceND< KhalimskySpaceND<2> > ));
  BOOST_CONCEPT_ASSERT(( concepts::CCellularGridSpaceND< KhalimskySpaceND<3> > ));
  BOOST_CONCEPT_ASSERT(( concepts::CCellularGridSpaceND< KhalimskySpaceND<4> > ));
}

testCellDrawOnBoard()

template<typename KSpace >

void testCellDrawOnBoard

(

KSpace const &

K

)

Testing Cell drawing on Board.

Template Parameters

KSpace

a 2D Khalimsky space type.

Parameters

K	the 2D Khalimsky space.

Definition at line 496 of file testKhalimskySpaceND.cpp.

{
  REQUIRE(( K.dimension == 2 ));
 
  typedef typename KSpace::Integer Integer;
  typedef typename KSpace::Cell Cell;
  typedef typename KSpace::SCell SCell;
  typedef typename KSpace::Point Point;
  typedef SpaceND<2, Integer> Z2;
  typedef HyperRectDomain<Z2> Domain;
 
  INFO( "Testing cell draw on digital board ..." );
 
  const Point low( -3, -3 );
  const Point high( 5, 3 );
 
  const Domain domain( low, high );
  Board2D board;
  board.setUnit( LibBoard::Board::UCentimeter );
  board << SetMode( domain.className(), "Paving" )
        << domain;
 
  Cell uspel = K.uCell( Point::diagonal(1) ); // pixel 0,0
  board << uspel
        << low << high
        << K.uIncident( uspel, 0, false )
        << K.uIncident( uspel, 1, false );
 
  const SCell sspel2 = K.sCell( Point( 5, 1 ), K.POS ); // pixel 2,0
  board <<  CustomStyle( sspel2.className(),
                new CustomPen( Color( 200, 0, 0 ),
                Color( 255, 100, 100 ),
                2.0,
                Board2D::Shape::SolidStyle ) )
        << sspel2
        << K.sIncident( sspel2, 0, K.sDirect( sspel2, 0 ) )
        << K.sIncident( sspel2, 1, K.sDirect( sspel2, 0 ) );
 
  board.saveEPS( "cells-1.eps" );
  board.saveSVG( "cells-1.svg" );
  board.clear();
 
  board << domain;
  const SCell slinel0     = K.sIncident( sspel2, 0, K.sDirect( sspel2, 0 ) );
  const SCell spointel01  = K.sIncident( slinel0, 1, K.sDirect( slinel0, 1 ) );
 
  board <<  CustomStyle( sspel2.className(),
                new CustomColors( Color( 200, 0, 0 ),
                Color( 255, 100, 100 ) ) )
        <<  sspel2
        <<  CustomStyle( slinel0.className(),
                new CustomColors( Color( 0, 200, 0 ),
                Color( 100, 255, 100 ) ) )
        <<  slinel0
        <<  CustomStyle( spointel01.className(),
                new CustomColors( Color( 0, 0, 200 ),
                Color( 100, 100, 255 ) ) )
        << spointel01;
 
  board.saveEPS( "cells-3.eps" );
  board.saveSVG( "cells-3.svg" );
}

References DGtal::HyperRectDomain< TSpace >::className(), DGtal::SignedKhalimskyCell< dim, TInteger >::className(), LibBoard::Board::clear(), DGtal::KhalimskySpaceND< dim, TInteger >::dimension, domain, K, DGtal::KhalimskySpaceND< dim, TInteger >::POS, REQUIRE(), LibBoard::Board::saveEPS(), LibBoard::Board::saveSVG(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirect(), LibBoard::Board::setUnit(), DGtal::KhalimskySpaceND< dim, TInteger >::sIncident(), LibBoard::Shape::SolidStyle, DGtal::KhalimskySpaceND< dim, TInteger >::uCell(), LibBoard::Board::UCentimeter, and DGtal::KhalimskySpaceND< dim, TInteger >::uIncident().

Referenced by TEST_CASE().

testCellularGridSpaceNDCoFaces()

template<typename KSpace >

void testCellularGridSpaceNDCoFaces

(

KSpace const &

K

)

Testing uCoFaces

Template Parameters

KSpace

a Khalimsky space type.

Parameters

K	the Khalimsky space.

Definition at line 663 of file testKhalimskySpaceND.cpp.

{
  typedef typename KSpace::Cell Cell;
  typedef typename KSpace::Point Point;
  typedef typename KSpace::Cells Cells;
 
  const Dimension N = KSpace::dimension;
 
  const Point low = Point::diagonal(-1);
  const Point high = Point::diagonal(1);
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( low ) ) );
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( high ) ) );
 
  const Cell  pointel = K.uPointel( Point::zero );
  const Cells cofaces = K.uCoFaces( pointel );
 
  // Check that there is no duplicates.
  INFO( "Check CellularGridSpaceND::uCoFaces" );
  for ( Dimension k = 1; k <= N; ++k )
    {
      CAPTURE( k );
 
      DGtal::int64_t nf = 0;
 
      for ( auto const & coface : cofaces )
        {
          if ( K.uDim( coface  ) == k )
            {
              CAPTURE( coface );
              ++nf;
            }
        }
 
      CAPTURE( nf );
 
      // Number of k-faces of N-cube is binom(n,k)*2^(n-k)
      DGtal::int64_t exp_nf = (DGtal::int64_t) round( boost::math::binomial_coefficient<double>(N, N-k) );
      exp_nf <<= k;
 
      REQUIRE( nf == exp_nf );
    }
}

References CAPTURE(), K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::uCoFaces(), DGtal::KhalimskySpaceND< dim, TInteger >::uDim(), DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), DGtal::KhalimskySpaceND< dim, TInteger >::uPointel(), and DGtal::KhalimskyPreSpaceND< dim, TInteger >::uSpel().

Referenced by TEST_CASE().

testCellularGridSpaceNDFaces()

template<typename KSpace >

void testCellularGridSpaceNDFaces

(

KSpace const &

K

)

Testing uFaces

Template Parameters

KSpace

a Khalimsky space type.

Parameters

K	the Khalimsky space.

Definition at line 618 of file testKhalimskySpaceND.cpp.

{
  typedef typename KSpace::Cell Cell;
  typedef typename KSpace::Point Point;
  typedef typename KSpace::Cells Cells;
 
  const Dimension N = KSpace::dimension;
 
  const Point low = Point::diagonal(-1);
  const Point high = Point::diagonal(1);
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( low ) ) );
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( high ) ) );
 
  const Cell vox = K.uSpel( Point::zero );
  const Cells faces = K.uFaces( vox );
 
  // Check that there is no duplicates.
  INFO( "Check CellularGridSpaceND::uFaces" );
  for ( Dimension k = 0; k < N; ++k )
    {
      CAPTURE( k );
 
      DGtal::int64_t nf = 0;
 
      for ( auto const & face : faces )
        if ( K.uDim( face ) == k )
          {
            INFO( face );
            ++nf;
          }
 
      // Number of k-faces of N-cube is binom(n,k)*2^(n-k)
      DGtal::int64_t exp_nf = (DGtal::int64_t) round( boost::math::binomial_coefficient<double>(N, k) );
      exp_nf <<= N-k;
 
      REQUIRE( nf == exp_nf );
    }
}

References CAPTURE(), K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::uDim(), DGtal::KhalimskySpaceND< dim, TInteger >::uFaces(), DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), DGtal::KhalimskyPreSpaceND< dim, TInteger >::uSpel(), and DGtal::KhalimskySpaceND< dim, TInteger >::uSpel().

Referenced by TEST_CASE().

testDirectIncidence()

template<typename KSpace >

void testDirectIncidence	(	KSpace const &	K,
		typename KSpace::Point const &	aPoint
	)

Testing direct incidence

Template Parameters

KSpace

the Khalimsky space type.

Parameters

K	the Khalimsky space.
aPoint	a point where to test the incidences.

Definition at line 369 of file testKhalimskySpaceND.cpp.

{
  INFO( "Testing direct Incidence in KSpace..." );
 
  using SCell = typename KSpace::SCell;
  using DirIterator = typename KSpace::DirIterator;
 
  SCell sspel = K.sSpel( aPoint, K.POS );
 
  for ( DirIterator q1 = K.sDirs( sspel ); q1 != 0; ++q1 )
    for ( DirIterator q2 = K.sDirs( sspel ); q2 != 0; ++q2 )
      {
        if ( *q1 != *q2 )
          {
            SCell s0 = K.sDirectIncident( sspel, *q1 );
            SCell l10 = K.sDirectIncident( s0, *q2 );
            SCell s1 = K.sDirectIncident( sspel, *q2 );
            SCell l01 = K.sDirectIncident( s1, *q1 );
            INFO( "Dd_" << *q2 << "(Dd_" << *q1 << "(V))=" << l10
              << " Dd_" << *q1 << "(Dd_" << *q2 << "(V))=" << l01
            );
 
            REQUIRE( l10 != l01 );
            REQUIRE( K.sSign( s0 ) == K.POS );
            REQUIRE( K.sSign( s1 ) == K.POS );
            REQUIRE( K.sSign( l10 ) == K.POS );
            REQUIRE( K.sSign( l01 ) == K.POS );
            REQUIRE( s0 == K.sIncident( sspel, *q1, K.sDirect( sspel, *q1 ) ) );
            REQUIRE( s1 == K.sIncident( sspel, *q2, K.sDirect( sspel, *q2 ) ) );
            REQUIRE( l10 == K.sIncident( s0, *q2, K.sDirect( s0, *q2 ) ) );
            REQUIRE( l01 == K.sIncident( s1, *q1, K.sDirect( s1, *q1 ) ) );
          }
      }
}

References aPoint(), K, DGtal::KhalimskySpaceND< dim, TInteger >::POS, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirect(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirectIncident(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirs(), DGtal::KhalimskySpaceND< dim, TInteger >::sIncident(), DGtal::KhalimskySpaceND< dim, TInteger >::sSign(), and DGtal::KhalimskySpaceND< dim, TInteger >::sSpel().

Referenced by TEST_CASE().

testFaces()

template<typename KSpace >

void testFaces	(	KSpace const &	K,
		typename KSpace::Point const &	aPoint
	)

Test faces and co-faces.

Template Parameters

KSpace

the Khalimsky space type (auto-deduced).

Parameters

K	the Khalimsky space.
aPoint	the point around which to check the neighborhoods.

Definition at line 273 of file testKhalimskySpaceND.cpp.

{
  INFO( "Testing faces and cofaces around point " << aPoint );
 
  using Point = typename KSpace::Point;
  using PK    = typename KSpace::PreCellularGridSpace;
 
  // Looping through cell topology
  for ( unsigned int t = 0; t < 1u << KSpace::dimension; ++t )
    {
      // Constructing the Khalimsky coordinates
      Point refPoint;
      for ( DGtal::Dimension i = 0; i < KSpace::dimension; ++i )
        refPoint[ i ] = t & (1u << i) ? 1 : 0;
 
      INFO( "Current topology is " << refPoint );
 
      // Constructing the unsigned cell
      const auto refUCell  = PK::uCell( refPoint );
 
      if ( ! K.uIsInside( PK::uCell( aPoint, refUCell ) ) )
        continue; // Do not test if current point is outside space.
 
      const auto currUCell = K.uCell( aPoint, refUCell );
      REQUIRE( K.uTopology( currUCell ) == PK::uTopology( refUCell ) );
 
      // Constructing the signed cell
      const auto refSCell  = PK::sCell( refPoint, PK::NEG );
      const auto currSCell = K.sCell( aPoint, refSCell );
      REQUIRE( K.sTopology( currSCell ) == PK::sTopology( refSCell ) );
 
      // Testing faces
        {
          const auto currUCells = K.uFaces( currUCell );
          const auto refUCells  = PK::uFaces( currUCell );
 
          REQUIRE( refUCells.size() == floor( std::pow( 3, K.uDim( currUCell ) ) - 1 ) );
          cmpUCellsIfInside( K, currUCells, refUCells );
        }
 
      // Testing proper neighbordhoods
        {
          const auto currUCells = K.uCoFaces( currUCell );
          const auto refUCells  = PK::uCoFaces( currUCell );
 
          cmpUCellsIfInside( K, currUCells, refUCells );
        }
    }
}

References aPoint(), cmpUCellsIfInside(), K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::sTopology(), DGtal::KhalimskySpaceND< dim, TInteger >::uCell(), DGtal::KhalimskySpaceND< dim, TInteger >::uCoFaces(), DGtal::KhalimskySpaceND< dim, TInteger >::uDim(), DGtal::KhalimskySpaceND< dim, TInteger >::uFaces(), DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), and DGtal::KhalimskySpaceND< dim, TInteger >::uTopology().

Referenced by TEST_CASE().

testFindABel()

template<typename KSpace >

void testFindABel

(

KSpace const &

K

)

Testing Surfaces::findABel

Template Parameters

KSpace

a Khalimsky space type.

Parameters

K	the Khalimsky space.

Definition at line 566 of file testKhalimskySpaceND.cpp.

{
  REQUIRE(( K.dimension >= 3 ));
 
  typedef typename KSpace::Point Point;
  typedef SpaceND< KSpace::dimension, typename KSpace::Integer > Space;
  typedef HyperRectDomain<Space> Domain;
  typedef typename DigitalSetSelector< Domain, BIG_DS+HIGH_BEL_DS >::Type DigitalSet;
  typedef typename KSpace::SCell SCell;
 
  INFO( "Test FindABel" );
 
  const Point low = Point::diagonal(-3);
  const Point high = Point::diagonal(3);
 
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( low ) ) );
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( high ) ) );
 
  const Domain domain( low, high );
  DigitalSet shape_set( domain );
 
  const Point p000 = Point::zero;
  const Point p001 = Point::base(2);
  const Point p010 = Point::base(1);
  const Point p011 = p001 + p010;
  const Point p100 = Point::base(0);
  const Point p101 = p100 + p001;
  const Point p110 = p100 + p010;
  const Point p111 = Point::diagonal(1);
 
  shape_set.insert( p000 );
  shape_set.insert( p100 );
 
  Surfaces<KSpace>::findABel( K, shape_set , p000 , p011 );
  Surfaces<KSpace>::findABel( K, shape_set , p000 , p110 );
  Surfaces<KSpace>::findABel( K, shape_set , p000 , p111 );
  Surfaces<KSpace>::findABel( K, shape_set , p000 , p101 );
 
  SCell s010 = Surfaces<KSpace>::findABel( K, shape_set , p000 , p010 );
  SCell s001 = Surfaces<KSpace>::findABel( K, shape_set , p000 , p001 );
 
  REQUIRE( s010 == K.sCell( Point::diagonal(1) + Point::base(1), true  ) );
  REQUIRE( s001 == K.sCell( Point::diagonal(1) + Point::base(2), false ) );
}

References DGtal::KhalimskySpaceND< dim, TInteger >::dimension, domain, DGtal::Surfaces< TKSpace >::findABel(), K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), and DGtal::KhalimskyPreSpaceND< dim, TInteger >::uSpel().

Referenced by TEST_CASE().

testIncidence()

template<typename KSpace >

void testIncidence	(	KSpace const &	K,
		typename KSpace::Point const &	aPoint
	)

Testing block incidence

Template Parameters

KSpace

the Khalimsky space type.

Parameters

K	the Khalimsky space.
aPoint	a point where to test the incidences.

Definition at line 333 of file testKhalimskySpaceND.cpp.

{
  INFO( "Testing block Incidence in KSpace..." );
 
  using SCell = typename KSpace::SCell;
  using DirIterator = typename KSpace::DirIterator;
 
  SCell sspel = K.sSpel( aPoint, K.POS );
 
  for ( DirIterator q1 = K.sDirs( sspel ); q1 != 0; ++q1 )
    for ( DirIterator q2 = K.sDirs( sspel ); q2 != 0; ++q2 )
      {
        if ( *q1 != *q2 )
          {
            SCell s0 = K.sIncident( sspel, *q1, true );
            SCell s1 = K.sIncident( sspel, *q2, true );
            SCell l10 = K.sIncident( s0, *q2, true );
            SCell l01 = K.sIncident( s1, *q1, true );
            INFO( "D+_" << *q2 << "(D+_" << *q1 << "(V))=" << l10
              << " D+_" << *q1 << "(D+_" << *q2 << "(V))=" << l01
            );
            REQUIRE( l10 == K.sOpp( l01 ) );
          }
      }
}

References aPoint(), K, DGtal::KhalimskySpaceND< dim, TInteger >::POS, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirs(), DGtal::KhalimskySpaceND< dim, TInteger >::sIncident(), DGtal::KhalimskySpaceND< dim, TInteger >::sOpp(), and DGtal::KhalimskySpaceND< dim, TInteger >::sSpel().

Referenced by TEST_CASE().

testNeighborhood()

template<typename KSpace >

void testNeighborhood	(	KSpace const &	K,
		typename KSpace::Point const &	aPoint
	)

Tests (proper) neighborhoods

Template Parameters

KSpace

the Khalimsky space type (auto-deduced).

Parameters

K	the Khalimsky space.
aPoint	the point around which to check the neighborhoods.

Definition at line 202 of file testKhalimskySpaceND.cpp.

{
  INFO( "Testing (proper) neighborhood around point " << aPoint );
 
  using Point = typename KSpace::Point;
  using PK    = typename KSpace::PreCellularGridSpace;
 
  // Looping through cell topology
  for ( unsigned int t = 0; t < 1u << KSpace::dimension; ++t )
    {
      // Constructing the Khalimsky coordinates
      Point refPoint;
      for ( DGtal::Dimension i = 0; i < KSpace::dimension; ++i )
        refPoint[ i ] = t & (1u << i) ? 1 : 0;
 
      INFO( "Current topology is " << refPoint );
 
      // Constructing the unsigned cell
      const auto refUCell  = PK::uCell( refPoint );
 
      if ( ! K.uIsInside( PK::uCell( aPoint, refUCell ) ) )
        continue; // Do not continue if current point is outside space.
 
      const auto currUCell = K.uCell( aPoint, refUCell );
      REQUIRE( K.uTopology( currUCell ) == PK::uTopology( refUCell ) );
 
      // Constructing the signed cell
      const auto refSCell  = PK::sCell( refPoint, PK::NEG );
      const auto currSCell = K.sCell( aPoint, refSCell );
      REQUIRE( K.sTopology( currSCell ) == PK::sTopology( refSCell ) );
 
      // Testing neighbordhoods
        {
          const auto currUCells = K.uNeighborhood( currUCell );
          const auto refUCells  = PK::uNeighborhood( currUCell );
          const auto currSCells = K.sNeighborhood( currSCell );
          const auto refSCells  = PK::sNeighborhood( currSCell );
 
          REQUIRE( currUCells.size() == currSCells.size() );
          REQUIRE( refUCells.size() == refSCells.size() );
          REQUIRE( refUCells.size() == 2*K.dimension + 1 );
          cmpUCellsIfInside( K, currUCells, refUCells );
          cmpSCellsIfInside( K, currSCells, refSCells );
        }
 
      // Testing proper neighbordhoods
        {
          const auto currUCells = K.uProperNeighborhood( currUCell );
          const auto refUCells  = PK::uProperNeighborhood( currUCell );
          const auto currSCells = K.sProperNeighborhood( currSCell );
          const auto refSCells  = PK::sProperNeighborhood( currSCell );
 
          REQUIRE( currUCells.size() == currSCells.size() );
          REQUIRE( refUCells.size() == refSCells.size() );
          REQUIRE( refUCells.size() == 2*K.dimension );
          cmpUCellsIfInside( K, currUCells, refUCells );
          cmpSCellsIfInside( K, currSCells, refSCells );
        }
    }
}

References aPoint(), cmpSCellsIfInside(), cmpUCellsIfInside(), DGtal::KhalimskySpaceND< dim, TInteger >::dimension, K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::sNeighborhood(), DGtal::KhalimskySpaceND< dim, TInteger >::sProperNeighborhood(), DGtal::KhalimskySpaceND< dim, TInteger >::sTopology(), DGtal::KhalimskySpaceND< dim, TInteger >::uCell(), DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), DGtal::KhalimskySpaceND< dim, TInteger >::uNeighborhood(), DGtal::KhalimskySpaceND< dim, TInteger >::uProperNeighborhood(), and DGtal::KhalimskySpaceND< dim, TInteger >::uTopology().

Referenced by TEST_CASE().

testScan()

template<typename KSpace >

void testScan	(	KSpace const &	K,
		typename KSpace::Point const &	low,
		typename KSpace::Point const &	high
	)

Tests uNext and sNext

Template Parameters

KSpace

the Khalimsky space type (auto-deduced).

Parameters

K	the Khalimsky space.
low	the first point to scan.
high	the last point to scan.

Definition at line 68 of file testKhalimskySpaceND.cpp.

{
  INFO( "Testing uNext & sNext with low = " << low << " & high = " << high );
 
  using Point = typename KSpace::Point;
  using Space = typename KSpace::Space;
  using PK    = typename KSpace::PreCellularGridSpace;
 
  const HyperRectDomain< Space > domain( low, high );
 
  // Looping through cell topology
  for ( unsigned int t = 0; t < 1u << KSpace::dimension; ++t )
    {
      // Constructing the Khalimsky coordinates
      Point refPoint;
      for ( DGtal::Dimension i = 0; i < KSpace::dimension; ++i )
        refPoint[ i ] = t & (1u << i) ? 1 : 0;
 
      INFO( "Current topology is " << refPoint );
 
      // Initializing unsigned cells
      const auto refUCell = PK::uCell( refPoint );
      auto currUCell = K.uCell( low, refUCell );
      const auto lowUCell  = currUCell;
      const auto highUCell = K.uCell( high, refUCell );
      REQUIRE( K.uTopology( currUCell ) == PK::uTopology( refUCell ) );
 
      // Initializing signed cells
      const auto refSCell = PK::sCell( refPoint, PK::POS );
      auto currSCell = K.sCell( low, refSCell );
      const auto lowSCell  = currSCell;
      const auto highSCell = K.sCell( high, refSCell );
      REQUIRE( K.sTopology( currSCell ) == PK::sTopology( refSCell ) );
 
      // Spanning the domain
      bool uCheck = true;
      bool sCheck = true;
      for ( Point const & pt : domain )
        {
          REQUIRE( uCheck == true );
          REQUIRE( sCheck == true );
 
          REQUIRE( currUCell == K.uCell( pt, refUCell ) );
          REQUIRE( currSCell == K.sCell( pt, refSCell ) );
 
          uCheck = K.uNext( currUCell, lowUCell, highUCell );
          sCheck = K.sNext( currSCell, lowSCell, highSCell );
        }
 
      // Checking scan end conditions.
      REQUIRE( uCheck == false );
      REQUIRE( sCheck == false );
    }
}

References domain, K, REQUIRE(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::sNext(), DGtal::KhalimskySpaceND< dim, TInteger >::sTopology(), DGtal::KhalimskySpaceND< dim, TInteger >::uCell(), DGtal::KhalimskySpaceND< dim, TInteger >::uNext(), and DGtal::KhalimskySpaceND< dim, TInteger >::uTopology().

Referenced by TEST_CASE().

testSurfelAdjacency()

template<typename KSpace >

void testSurfelAdjacency

(

KSpace const &

K

)

Testing SurfelAdjacency

Template Parameters

KSpace

the Khalimsky space type.

Parameters

K	the Khalimsky space.

Definition at line 413 of file testKhalimskySpaceND.cpp.

{
  using SCell = typename KSpace::SCell;
  using Point = typename KSpace::Point;
  using Integer = typename KSpace::Integer;
 
  INFO( "Testing surfel adjacency ..." );
  SurfelAdjacency<KSpace::dimension> SAdj( true );
 
  INFO( "Testing surfel directness ..." );
  const SCell sspel = K.sCell( Point::diagonal(1), K.POS );
 
  for ( Dimension k = 0; k < K.dimension; ++k )
    {
      SCell surfel = K.sIncident( sspel, k, true );
      SCell innerspel = K.sDirectIncident( surfel, K.sOrthDir( surfel ) );
      INFO( "spel=" << sspel << " surfel=" << surfel << " innerspel=" << innerspel );
      REQUIRE( sspel == innerspel );
 
      surfel = K.sIncident( sspel, k, false );
      innerspel = K.sDirectIncident( surfel, K.sOrthDir( surfel ) );
      INFO( "spel=" << sspel << " surfel=" << surfel << " innerspel=" << innerspel );
      REQUIRE( sspel == innerspel );
    }
 
  INFO( "Testing surfel neighborhood ..." );
  SurfelNeighborhood<KSpace> SN;
  SCell surfel = K.sIncident( sspel, 0, false );
  SN.init( &K, &SAdj, surfel );
 
  INFO( "Testing surface tracking ..." );
  using Space = SpaceND< KSpace::dimension, Integer >;
  using Domain = HyperRectDomain<Space>;
  using DigitalSet = typename DigitalSetSelector< Domain, BIG_DS+HIGH_BEL_DS >::Type;
 
  const Point low  = Point::diagonal(-3);
  const Point high = Point::diagonal(3) + Point::base(0, 2);
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( low ) ) );
  REQUIRE( K.uIsInside( KSpace::PreCellularGridSpace::uSpel( high ) ) );
 
  const Domain domain( low, high );
  DigitalSet shape_set( domain );
 
  const Point pcenter = Point::diagonal(0) + Point::base(0);
  Shapes<Domain>::addNorm1Ball( shape_set, pcenter, 1 );
 
  CAPTURE( surfel );
  SCell other1, other2;
 
  SN.getAdjacentOnDigitalSet( other1, shape_set, 1, K.sDirect( surfel, 1 ) );
  INFO( "directNext  = " << other1 );
 
  SN.getAdjacentOnDigitalSet( other2, shape_set, 1, !K.sDirect( surfel, 1 ) );
  INFO( "indirectNext= " << other2 );
 
  std::set<SCell> bdry;
  Surfaces<KSpace>::trackBoundary( bdry, K, SAdj, shape_set, surfel );
  REQUIRE( bdry.size() == ( 2*K.dimension*(2*K.dimension-1) ) );
 
  std::set<SCell> bdry_direct;
  Surfaces<KSpace>::trackClosedBoundary( bdry_direct, K, SAdj, shape_set, surfel );
  REQUIRE( bdry_direct.size() == ( 2*K.dimension*(2*K.dimension-1) ) );
 
  if ( K.dimension == 2 )
    {
      INFO( "Testing Board2D" );
      Board2D board;
      board.setUnit( LibBoard::Board::UCentimeter );
      board << SetMode( domain.className(), "Paving" ) << domain;
      for ( typename std::set<SCell>::const_iterator it = bdry_direct.begin(),
        it_end = bdry_direct.end(); it != it_end; ++it )
        board << *it;
      board.saveEPS( "cells-2.eps" );
      board.saveSVG( "cells-2.svg" );
    }
}

References DGtal::Shapes< TDomain >::addNorm1Ball(), CAPTURE(), DGtal::HyperRectDomain< TSpace >::className(), DGtal::KhalimskySpaceND< dim, TInteger >::dimension, domain, DGtal::SurfelNeighborhood< TKSpace >::getAdjacentOnDigitalSet(), DGtal::SurfelNeighborhood< TKSpace >::init(), K, DGtal::KhalimskySpaceND< dim, TInteger >::POS, REQUIRE(), LibBoard::Board::saveEPS(), LibBoard::Board::saveSVG(), DGtal::KhalimskySpaceND< dim, TInteger >::sCell(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirect(), DGtal::KhalimskySpaceND< dim, TInteger >::sDirectIncident(), LibBoard::Board::setUnit(), DGtal::KhalimskySpaceND< dim, TInteger >::sIncident(), DGtal::KhalimskySpaceND< dim, TInteger >::sOrthDir(), DGtal::Surfaces< TKSpace >::trackBoundary(), DGtal::Surfaces< TKSpace >::trackClosedBoundary(), LibBoard::Board::UCentimeter, DGtal::KhalimskySpaceND< dim, TInteger >::uIsInside(), and DGtal::KhalimskyPreSpaceND< dim, TInteger >::uSpel().

Referenced by TEST_CASE().