#include <G4AdjointCrossSurfChecker.hh>

Public Member Functions
G4bool	AddanExtSurfaceOfAvolume (const G4String &SurfaceName, const G4String &volume_name, G4double &area)

G4bool	AddanInterfaceBetweenTwoVolumes (const G4String &SurfaceName, const G4String &volume_name1, const G4String &volume_name2, G4double &area)

G4bool	AddaSphericalSurface (const G4String &SurfaceName, G4double radius, G4ThreeVector pos, G4double &area)

G4bool	AddaSphericalSurfaceWithCenterAtTheCenterOfAVolume (const G4String &SurfaceName, G4double radius, const G4String &volume_name, G4ThreeVector &center, G4double &area)

void	ClearListOfSelectedSurface ()

G4bool	CrossingAGivenRegisteredSurface (const G4Step *aStep, const G4String &surface_name, G4ThreeVector &cross_pos, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	CrossingAGivenRegisteredSurface (const G4Step *aStep, G4int ind, G4ThreeVector &cross_pos, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	CrossingAnInterfaceBetweenTwoVolumes (const G4Step *aStep, const G4String &vol1_name, const G4String &vol2_name, G4ThreeVector &cross_pos, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	CrossingASphere (const G4Step *aStep, G4double sphere_radius, G4ThreeVector sphere_center, G4ThreeVector &cross_pos, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	CrossingOneOfTheRegisteredSurface (const G4Step *aStep, G4String &surface_name, G4ThreeVector &cross_pos, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	GoingInOrOutOfaVolume (const G4Step *aStep, const G4String &volume_name, G4double &cos_to_surface, G4bool &GoingIn)

G4bool	GoingInOrOutOfaVolumeByExtSurface (const G4Step *aStep, const G4String &volume_name, const G4String &mother_lvol_name, G4double &cos_to_surface, G4bool &GoingIn)

Static Public Member Functions
static G4AdjointCrossSurfChecker *	GetInstance ()

Private Member Functions
G4int	FindRegisteredSurface (const G4String &name)

	G4AdjointCrossSurfChecker ()

	~G4AdjointCrossSurfChecker ()

Private Attributes
std::vector< G4double >	AreaOfSurface

std::vector< G4ThreeVector >	ListOfSphereCenter

std::vector< G4double >	ListOfSphereRadius

std::vector< G4String >	ListOfSurfaceName

std::vector< G4String >	ListOfSurfaceType

std::vector< G4String >	ListOfVol1Name

std::vector< G4String >	ListOfVol2Name

Static Private Attributes
static G4ThreadLocal G4AdjointCrossSurfChecker *	instance = nullptr

Detailed Description

Definition at line 50 of file G4AdjointCrossSurfChecker.hh.

Constructor & Destructor Documentation

◆ G4AdjointCrossSurfChecker()

G4AdjointCrossSurfChecker::G4AdjointCrossSurfChecker ( )

private

Definition at line 49 of file G4AdjointCrossSurfChecker.cc.

50{

51}

Referenced by GetInstance().

◆ ~G4AdjointCrossSurfChecker()

G4AdjointCrossSurfChecker::~G4AdjointCrossSurfChecker ( )

private

Definition at line 55 of file G4AdjointCrossSurfChecker.cc.

{
  delete instance;
}

References instance.

Member Function Documentation

◆ AddanExtSurfaceOfAvolume()

G4bool G4AdjointCrossSurfChecker::AddanExtSurfaceOfAvolume	(	const G4String &	SurfaceName,
		const G4String &	volume_name,
		G4double &	area
	)

Definition at line 386 of file G4AdjointCrossSurfChecker.cc.

{
  G4int ind = FindRegisteredSurface(SurfaceName);
 
  G4VPhysicalVolume* thePhysicalVolume = nullptr;
  G4PhysicalVolumeStore* thePhysVolStore = G4PhysicalVolumeStore::GetInstance();
  thePhysicalVolume = thePhysVolStore->GetVolume(volume_name);
  if (thePhysicalVolume == nullptr)
  {
    return false;
  }
  Area = thePhysicalVolume->GetLogicalVolume()->GetSolid()->GetSurfaceArea();
  G4String mother_vol_name = ""; 
  G4LogicalVolume* theMother = thePhysicalVolume->GetMotherLogical();
 
  if (theMother != nullptr) mother_vol_name= theMother->GetName();
  if (ind>=0)
  {
    ListOfSurfaceType[ind] = "ExternalSurfaceOfAVolume";
    ListOfSphereRadius[ind] = 0.;
    ListOfSphereCenter[ind] = G4ThreeVector(0.,0.,0.);
    ListOfVol1Name[ind] = volume_name;
    ListOfVol2Name[ind] = mother_vol_name;
    AreaOfSurface[ind] = Area;
  }
  else
  {
    ListOfSurfaceName.push_back(SurfaceName);
    ListOfSurfaceType.push_back("ExternalSurfaceOfAVolume");
    ListOfSphereRadius.push_back(0.);
    ListOfSphereCenter.push_back(G4ThreeVector(0.,0.,0.));
    ListOfVol1Name.push_back(volume_name);
    ListOfVol2Name.push_back(mother_vol_name);
    AreaOfSurface.push_back(Area);
  }
  return true;
}

References AreaOfSurface, FindRegisteredSurface(), G4PhysicalVolumeStore::GetInstance(), G4VPhysicalVolume::GetLogicalVolume(), G4VPhysicalVolume::GetMotherLogical(), G4LogicalVolume::GetName(), G4LogicalVolume::GetSolid(), G4VSolid::GetSurfaceArea(), G4PhysicalVolumeStore::GetVolume(), ListOfSphereCenter, ListOfSphereRadius, ListOfSurfaceName, ListOfSurfaceType, ListOfVol1Name, and ListOfVol2Name.

Referenced by G4AdjointSimManager::DefineAdjointSourceOnTheExtSurfaceOfAVolume(), and G4AdjointSimManager::DefineExtSourceOnTheExtSurfaceOfAVolume().

◆ AddanInterfaceBetweenTwoVolumes()

G4bool G4AdjointCrossSurfChecker::AddanInterfaceBetweenTwoVolumes	(	const G4String &	SurfaceName,
		const G4String &	volume_name1,
		const G4String &	volume_name2,
		G4double &	area
	)

Definition at line 428 of file G4AdjointCrossSurfChecker.cc.

{
  G4int ind = FindRegisteredSurface(SurfaceName);
  Area = -1.; // the way to compute the surface is not known yet
  if (ind>=0)
  {
    ListOfSurfaceType[ind] = "BoundaryBetweenTwoVolumes";
    ListOfSphereRadius[ind] = 0.;
    ListOfSphereCenter[ind] = G4ThreeVector(0.,0.,0.);
    ListOfVol1Name[ind] = volume_name1;
    ListOfVol2Name[ind] = volume_name2;
    AreaOfSurface[ind] = Area;
  }
  else
  {
    ListOfSurfaceName.push_back(SurfaceName);
    ListOfSurfaceType.push_back("BoundaryBetweenTwoVolumes");
    ListOfSphereRadius.push_back(0.);
    ListOfSphereCenter.push_back(G4ThreeVector(0.,0.,0.));
    ListOfVol1Name.push_back(volume_name1);
    ListOfVol2Name.push_back(volume_name2);
    AreaOfSurface.push_back(Area);
  }
  return true;
}

References AreaOfSurface, FindRegisteredSurface(), ListOfSphereCenter, ListOfSphereRadius, ListOfSurfaceName, ListOfSurfaceType, ListOfVol1Name, and ListOfVol2Name.

◆ AddaSphericalSurface()

G4bool G4AdjointCrossSurfChecker::AddaSphericalSurface	(	const G4String &	SurfaceName,
		G4double	radius,
		G4ThreeVector	pos,
		G4double &	area
	)

Definition at line 313 of file G4AdjointCrossSurfChecker.cc.

{
  G4int ind = FindRegisteredSurface(SurfaceName);
  Area = 4.*pi*radius*radius;
  if (ind>=0)
  {
    ListOfSurfaceType[ind] = "Sphere";
    ListOfSphereRadius[ind] = radius;
    ListOfSphereCenter[ind] = pos;
    ListOfVol1Name[ind] = "";
    ListOfVol2Name[ind] = "";
    AreaOfSurface[ind] = Area;
  }
  else
  {
    ListOfSurfaceName.push_back(SurfaceName);
    ListOfSurfaceType.push_back("Sphere");
    ListOfSphereRadius.push_back(radius);
    ListOfSphereCenter.push_back(pos);
    ListOfVol1Name.push_back("");
    ListOfVol2Name.push_back("");
    AreaOfSurface.push_back(Area);
  } 
  return true;
}

References AreaOfSurface, FindRegisteredSurface(), ListOfSphereCenter, ListOfSphereRadius, ListOfSurfaceName, ListOfSurfaceType, ListOfVol1Name, ListOfVol2Name, pi, and pos.

Referenced by AddaSphericalSurfaceWithCenterAtTheCenterOfAVolume(), G4AdjointSimManager::DefineSphericalAdjointSource(), and G4AdjointSimManager::DefineSphericalExtSource().

◆ AddaSphericalSurfaceWithCenterAtTheCenterOfAVolume()

G4bool G4AdjointCrossSurfChecker::AddaSphericalSurfaceWithCenterAtTheCenterOfAVolume	(	const G4String &	SurfaceName,
		G4double	radius,
		const G4String &	volume_name,
		G4ThreeVector &	center,
		G4double &	area
	)

Definition at line 343 of file G4AdjointCrossSurfChecker.cc.

{ 
  G4VPhysicalVolume* thePhysicalVolume = nullptr;
  G4PhysicalVolumeStore* thePhysVolStore = G4PhysicalVolumeStore::GetInstance();
  thePhysicalVolume = thePhysVolStore->GetVolume(volume_name);
  if (thePhysicalVolume != nullptr)
  {
    G4VPhysicalVolume* daughter = thePhysicalVolume;
    G4LogicalVolume* mother = thePhysicalVolume->GetMotherLogical();
    G4AffineTransform theTransformationFromPhysVolToWorld = G4AffineTransform();
    while (mother != nullptr)
    {
      theTransformationFromPhysVolToWorld *=
         G4AffineTransform(daughter->GetFrameRotation(),
                           daughter->GetObjectTranslation());
      for ( std::size_t i=0; i<thePhysVolStore->size(); ++i)
      {
        if ((*thePhysVolStore)[i]->GetLogicalVolume() == mother)
        {
          daughter = (*thePhysVolStore)[i];
          mother =daughter->GetMotherLogical();
          break;
        }
      }
    }
    center = theTransformationFromPhysVolToWorld.NetTranslation();
    G4cout << "Center of the spherical surface is at the position: "
           << center/cm << " cm" << G4endl;
  }
  else
  {
    return false;
  }
  return AddaSphericalSurface(SurfaceName, radius, center, area);
}

References AddaSphericalSurface(), cm, G4cout, G4endl, G4VPhysicalVolume::GetFrameRotation(), G4PhysicalVolumeStore::GetInstance(), G4VPhysicalVolume::GetMotherLogical(), G4VPhysicalVolume::GetObjectTranslation(), G4PhysicalVolumeStore::GetVolume(), and G4AffineTransform::NetTranslation().

Referenced by G4AdjointSimManager::DefineSphericalAdjointSourceWithCentreAtTheCentreOfAVolume(), and G4AdjointSimManager::DefineSphericalExtSourceWithCentreAtTheCentreOfAVolume().

◆ ClearListOfSelectedSurface()

void G4AdjointCrossSurfChecker::ClearListOfSelectedSurface ( )

Definition at line 459 of file G4AdjointCrossSurfChecker.cc.

{
  ListOfSurfaceName.clear();
  ListOfSurfaceType.clear();
  ListOfSphereRadius.clear();
  ListOfSphereCenter.clear();
  ListOfVol1Name.clear();
  ListOfVol2Name.clear();
}

References ListOfSphereCenter, ListOfSphereRadius, ListOfSurfaceName, ListOfSurfaceType, ListOfVol1Name, and ListOfVol2Name.

◆ CrossingAGivenRegisteredSurface() [1/2]

G4bool G4AdjointCrossSurfChecker::CrossingAGivenRegisteredSurface	(	const G4Step *	aStep,
		const G4String &	surface_name,
		G4ThreeVector &	cross_pos,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 194 of file G4AdjointCrossSurfChecker.cc.

{
  G4int ind = FindRegisteredSurface(surface_name);
  G4bool did_cross = false;
  if (ind >=0)
  {
    did_cross = CrossingAGivenRegisteredSurface(aStep, ind, crossing_pos,
                                                cos_to_surface, GoingIn);
  }
  return did_cross;
}

References CrossingAGivenRegisteredSurface(), and FindRegisteredSurface().

Referenced by CrossingAGivenRegisteredSurface(), and CrossingOneOfTheRegisteredSurface().

◆ CrossingAGivenRegisteredSurface() [2/2]

G4bool G4AdjointCrossSurfChecker::CrossingAGivenRegisteredSurface	(	const G4Step *	aStep,
		G4int	ind,
		G4ThreeVector &	cross_pos,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 212 of file G4AdjointCrossSurfChecker.cc.

{
  G4String surf_type = ListOfSurfaceType[ind];
  G4double radius = ListOfSphereRadius[ind];
  G4ThreeVector center = ListOfSphereCenter[ind];
  G4String vol1 = ListOfVol1Name[ind];
  G4String vol2 = ListOfVol2Name[ind];
 
  G4bool did_cross = false;
  if (surf_type == "Sphere")
  {
    did_cross = CrossingASphere(aStep, radius, center,crossing_pos,
                                cos_to_surface, GoingIn);
  }
  else if (surf_type == "ExternalSurfaceOfAVolume")
  {
    did_cross = GoingInOrOutOfaVolumeByExtSurface(aStep, vol1, vol2,
                                                  cos_to_surface, GoingIn);
    crossing_pos= aStep->GetPostStepPoint()->GetPosition();
  }
  else if (surf_type == "BoundaryBetweenTwoVolumes")
  {
    did_cross = CrossingAnInterfaceBetweenTwoVolumes(aStep, vol1, vol2,
                                                     crossing_pos,
                                                     cos_to_surface, GoingIn);
  }
  return did_cross;
}

References CrossingAnInterfaceBetweenTwoVolumes(), CrossingASphere(), G4StepPoint::GetPosition(), G4Step::GetPostStepPoint(), GoingInOrOutOfaVolumeByExtSurface(), ListOfSphereCenter, ListOfSphereRadius, ListOfSurfaceType, ListOfVol1Name, and ListOfVol2Name.

◆ CrossingAnInterfaceBetweenTwoVolumes()

G4bool G4AdjointCrossSurfChecker::CrossingAnInterfaceBetweenTwoVolumes	(	const G4Step *	aStep,
		const G4String &	vol1_name,
		const G4String &	vol2_name,
		G4ThreeVector &	cross_pos,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 266 of file G4AdjointCrossSurfChecker.cc.

{
  G4bool step_at_boundary =
    (aStep->GetPostStepPoint()->GetStepStatus() == fGeomBoundary);
  G4bool did_cross = false;
  if (step_at_boundary)
  {
    const G4VTouchable* postStepTouchable =
                        aStep->GetPostStepPoint()->GetTouchable();
    const G4VTouchable* preStepTouchable =
                        aStep->GetPreStepPoint()->GetTouchable();
    if (preStepTouchable && postStepTouchable)
    {
      G4String post_vol_name = postStepTouchable->GetVolume()->GetName();
      if (post_vol_name == "")
      {
        post_vol_name = postStepTouchable->GetVolume()->GetLogicalVolume()
                      ->GetName();
      }
      G4String pre_vol_name = preStepTouchable->GetVolume()->GetName();
      if (pre_vol_name == "")
      {
        pre_vol_name = preStepTouchable->GetVolume()->GetLogicalVolume()
                     ->GetName();
      }
      if (pre_vol_name == vol1_name && post_vol_name == vol2_name)
      {
        GoingIn=true;
        did_cross=true;
      }
      else if (pre_vol_name == vol2_name && post_vol_name == vol1_name)
      {
        GoingIn=false;
        did_cross=true;
      }
    } 
  }
  return did_cross; // still need to compute the cosine of the direction
}

References fGeomBoundary, G4VPhysicalVolume::GetLogicalVolume(), G4LogicalVolume::GetName(), G4VPhysicalVolume::GetName(), G4Step::GetPostStepPoint(), G4Step::GetPreStepPoint(), G4StepPoint::GetStepStatus(), G4StepPoint::GetTouchable(), and G4VTouchable::GetVolume().

Referenced by CrossingAGivenRegisteredSurface().

◆ CrossingASphere()

G4bool G4AdjointCrossSurfChecker::CrossingASphere	(	const G4Step *	aStep,
		G4double	sphere_radius,
		G4ThreeVector	sphere_center,
		G4ThreeVector &	cross_pos,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 70 of file G4AdjointCrossSurfChecker.cc.

{
  G4ThreeVector pos1 = aStep->GetPreStepPoint()->GetPosition() - sphere_center;
  G4ThreeVector pos2 = aStep->GetPostStepPoint()->GetPosition() - sphere_center;
  G4double r1 = pos1.mag();
  G4double r2 = pos2.mag();
  G4bool did_cross = false; 
  
  if (r1<=sphere_radius && r2>sphere_radius)
  {
    did_cross = true;
    GoingIn = false;
  } 
  else if (r2<=sphere_radius && r1>sphere_radius)
  {
    did_cross = true;
    GoingIn = true;
  }
 
  if (did_cross)
  { 
    G4ThreeVector dr = pos2-pos1;
    G4double r12 = r1*r1;
    G4double rdr = dr.mag();
    G4double a,b,c,d;
    a = rdr*rdr;
    b = 2.*pos1.dot(dr);
    c = r12-sphere_radius*sphere_radius;
    d = std::sqrt(b*b-4.*a*c);
    G4double l = (-b+d)/2./a;
    if (l > 1.) l=(-b-d)/2./a;
    crossing_pos = pos1+l*dr;
    cos_th = std::abs(dr.cosTheta(crossing_pos));
  }
  return did_cross;
}

References CLHEP::Hep3Vector::cosTheta(), G4StepPoint::GetPosition(), G4Step::GetPostStepPoint(), G4Step::GetPreStepPoint(), and CLHEP::Hep3Vector::mag().

Referenced by CrossingAGivenRegisteredSurface().

◆ CrossingOneOfTheRegisteredSurface()

G4bool G4AdjointCrossSurfChecker::CrossingOneOfTheRegisteredSurface	(	const G4Step *	aStep,
		G4String &	surface_name,
		G4ThreeVector &	cross_pos,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 246 of file G4AdjointCrossSurfChecker.cc.

{
  for (std::size_t i=0; i<ListOfSurfaceName.size(); ++i)
  {
    if (CrossingAGivenRegisteredSurface(aStep, G4int(i), crossing_pos,
                                        cos_to_surface, GoingIn))
    {
      surface_name = ListOfSurfaceName[i];
      return true;
    }
  }
  return false;
}

References CrossingAGivenRegisteredSurface(), and ListOfSurfaceName.

◆ FindRegisteredSurface()

G4int G4AdjointCrossSurfChecker::FindRegisteredSurface ( const G4String & name )

private

Definition at line 471 of file G4AdjointCrossSurfChecker.cc.

{
  for (std::size_t i=0; i<ListOfSurfaceName.size(); ++i)
  {
    if (name == ListOfSurfaceName[i])  return G4int(i);
  }
  return -1;
}

References ListOfSurfaceName, and G4InuclParticleNames::name().

Referenced by AddanExtSurfaceOfAvolume(), AddanInterfaceBetweenTwoVolumes(), AddaSphericalSurface(), and CrossingAGivenRegisteredSurface().

◆ GetInstance()

G4AdjointCrossSurfChecker * G4AdjointCrossSurfChecker::GetInstance ( )

static

Definition at line 62 of file G4AdjointCrossSurfChecker.cc.

{
  if (instance == nullptr) instance = new G4AdjointCrossSurfChecker();
  return instance;
}  

References G4AdjointCrossSurfChecker(), and instance.

Referenced by G4AdjointSimManager::DefineAdjointSourceOnTheExtSurfaceOfAVolume(), G4AdjointSimManager::DefineExtSourceOnTheExtSurfaceOfAVolume(), G4AdjointSimManager::DefineSphericalAdjointSource(), G4AdjointSimManager::DefineSphericalAdjointSourceWithCentreAtTheCentreOfAVolume(), G4AdjointSimManager::DefineSphericalExtSource(), G4AdjointSimManager::DefineSphericalExtSourceWithCentreAtTheCentreOfAVolume(), and G4AdjointSteppingAction::G4AdjointSteppingAction().

◆ GoingInOrOutOfaVolume()

G4bool G4AdjointCrossSurfChecker::GoingInOrOutOfaVolume	(	const G4Step *	aStep,
		const G4String &	volume_name,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 112 of file G4AdjointCrossSurfChecker.cc.

{
  G4bool step_at_boundary =
         (aStep->GetPostStepPoint()->GetStepStatus() == fGeomBoundary);
  G4bool did_cross = false;
  if (step_at_boundary)
  {
    const G4VTouchable* postStepTouchable =
                        aStep->GetPostStepPoint()->GetTouchable();
    const G4VTouchable* preStepTouchable =
                        aStep->GetPreStepPoint()->GetTouchable();
    if (preStepTouchable && postStepTouchable
      && postStepTouchable->GetVolume() && preStepTouchable->GetVolume())
    {
      G4String post_vol_name = postStepTouchable->GetVolume()->GetName();
      G4String pre_vol_name = preStepTouchable->GetVolume()->GetName();
 
      if (post_vol_name == volume_name )
      {
        GoingIn = true;
        did_cross = true;
      }
      else if (pre_vol_name == volume_name)
      {
        GoingIn = false;
        did_cross = true;
      }
    } 
  }
  return did_cross;  // still need to compute the cosine of the direction
}

References fGeomBoundary, G4VPhysicalVolume::GetName(), G4Step::GetPostStepPoint(), G4Step::GetPreStepPoint(), G4StepPoint::GetStepStatus(), G4StepPoint::GetTouchable(), and G4VTouchable::GetVolume().

◆ GoingInOrOutOfaVolumeByExtSurface()

G4bool G4AdjointCrossSurfChecker::GoingInOrOutOfaVolumeByExtSurface	(	const G4Step *	aStep,
		const G4String &	volume_name,
		const G4String &	mother_lvol_name,
		G4double &	cos_to_surface,
		G4bool &	GoingIn
	)

Definition at line 148 of file G4AdjointCrossSurfChecker.cc.

{
  G4bool step_at_boundary =
    (aStep->GetPostStepPoint()->GetStepStatus() == fGeomBoundary);
  G4bool did_cross = false;
  if (step_at_boundary)
  {
    const G4VTouchable* postStepTouchable =
            aStep->GetPostStepPoint()->GetTouchable();
    const G4VTouchable* preStepTouchable =
            aStep->GetPreStepPoint()->GetTouchable();
    const G4VPhysicalVolume* postVol = (postStepTouchable != nullptr)
                                    ? postStepTouchable->GetVolume() : nullptr;
    const G4VPhysicalVolume* preVol = (preStepTouchable != nullptr)
                                    ? preStepTouchable->GetVolume() : nullptr;
    if (preStepTouchable != nullptr && postStepTouchable != nullptr
     && postVol != nullptr && preVol != nullptr)
    {
      G4String post_vol_name = postVol->GetName();
      G4String post_log_vol_name = postVol->GetLogicalVolume()->GetName();
      G4String pre_vol_name = preVol->GetName();
      G4String pre_log_vol_name = preVol->GetLogicalVolume()->GetName();
      if (post_vol_name == volume_name
       && pre_log_vol_name == mother_logical_vol_name)
      {
        GoingIn = true;
        did_cross = true;
      }
      else if (pre_vol_name == volume_name
            && post_log_vol_name ==  mother_logical_vol_name )
      {
        GoingIn = false;
        did_cross = true;
      }
    } 
  }
  return did_cross; // still need to compute the cosine of the direction
}