#include <G4OTubs.hh>

Inheritance diagram for G4OTubs:

Public Member Functions
	G4OTubs (const G4String &pName, G4double pRMin, G4double pRMax, G4double pDz, G4double pSPhi, G4double pDPhi)

virtual	~G4OTubs ()

G4double	GetInnerRadius () const

G4double	GetOuterRadius () const

G4double	GetZHalfLength () const

G4double	GetStartPhiAngle () const

G4double	GetDeltaPhiAngle () const

void	SetInnerRadius (G4double newRMin)

void	SetOuterRadius (G4double newRMax)

void	SetZHalfLength (G4double newDz)

void	SetStartPhiAngle (G4double newSPhi, G4bool trig=true)

void	SetDeltaPhiAngle (G4double newDPhi)

G4double	GetCubicVolume ()

G4double	GetSurfaceArea ()

G4bool	CalculateExtent (const EAxis pAxis, const G4VoxelLimits &pVoxelLimit, const G4AffineTransform &pTransform, G4double &pmin, G4double &pmax) const

EInside	Inside (const G4ThreeVector &p) const

G4ThreeVector	SurfaceNormal (const G4ThreeVector &p) const

G4double	DistanceToIn (const G4ThreeVector &p, const G4ThreeVector &v) const

G4double	DistanceToIn (const G4ThreeVector &p) const

G4double	DistanceToOut (const G4ThreeVector &p, const G4ThreeVector &v, const G4bool calcNorm=G4bool(false), G4bool validNorm=0, G4ThreeVector n=0) const

G4double	DistanceToOut (const G4ThreeVector &p) const

G4GeometryType	GetEntityType () const

G4ThreeVector	GetPointOnSurface () const

G4VSolid *	Clone () const

std::ostream &	StreamInfo (std::ostream &os) const

void	DescribeYourselfTo (G4VGraphicsScene &scene) const

G4Polyhedron *	CreatePolyhedron () const

	G4OTubs (__void__ &)

	G4OTubs (const G4OTubs &rhs)

G4OTubs &	operator= (const G4OTubs &rhs)

G4double	GetRMin () const

G4double	GetRMax () const

G4double	GetDz () const

G4double	GetSPhi () const

G4double	GetDPhi () const

Public Member Functions inherited from G4CSGSolid
	G4CSGSolid (const G4String &pName)

virtual	~G4CSGSolid ()

virtual G4Polyhedron *	GetPolyhedron () const

	G4CSGSolid (__void__ &)

	G4CSGSolid (const G4CSGSolid &rhs)

G4CSGSolid &	operator= (const G4CSGSolid &rhs)

Public Member Functions inherited from G4VSolid
	G4VSolid (const G4String &name)

virtual	~G4VSolid ()

G4bool	operator== (const G4VSolid &s) const

G4String	GetName () const

void	SetName (const G4String &name)

G4double	GetTolerance () const

virtual void	ComputeDimensions (G4VPVParameterisation p, const G4int n, const G4VPhysicalVolume pRep)

void	DumpInfo () const

virtual G4VisExtent	GetExtent () const

virtual const G4VSolid *	GetConstituentSolid (G4int no) const

virtual G4VSolid *	GetConstituentSolid (G4int no)

virtual const G4DisplacedSolid *	GetDisplacedSolidPtr () const

virtual G4DisplacedSolid *	GetDisplacedSolidPtr ()

	G4VSolid (__void__ &)

	G4VSolid (const G4VSolid &rhs)

G4VSolid &	operator= (const G4VSolid &rhs)

Protected Types
enum	ESide { kNull, kRMin, kRMax, kSPhi, kEPhi, kPZ, kMZ }

enum	ENorm { kNRMin, kNRMax, kNSPhi, kNEPhi, kNZ }

Protected Member Functions
G4ThreeVectorList *	CreateRotatedVertices (const G4AffineTransform &pTransform) const

void	Initialize ()

void	CheckSPhiAngle (G4double sPhi)

void	CheckDPhiAngle (G4double dPhi)

void	CheckPhiAngles (G4double sPhi, G4double dPhi)

void	InitializeTrigonometry ()

virtual G4ThreeVector	ApproxSurfaceNormal (const G4ThreeVector &p) const

Protected Member Functions inherited from G4CSGSolid
G4double	GetRadiusInRing (G4double rmin, G4double rmax) const

Protected Member Functions inherited from G4VSolid
void	CalculateClippedPolygonExtent (G4ThreeVectorList &pPolygon, const G4VoxelLimits &pVoxelLimit, const EAxis pAxis, G4double &pMin, G4double &pMax) const

void	ClipCrossSection (G4ThreeVectorList *pVertices, const G4int pSectionIndex, const G4VoxelLimits &pVoxelLimit, const EAxis pAxis, G4double &pMin, G4double &pMax) const

void	ClipBetweenSections (G4ThreeVectorList *pVertices, const G4int pSectionIndex, const G4VoxelLimits &pVoxelLimit, const EAxis pAxis, G4double &pMin, G4double &pMax) const

void	ClipPolygon (G4ThreeVectorList &pPolygon, const G4VoxelLimits &pVoxelLimit, const EAxis pAxis) const

G4double	EstimateCubicVolume (G4int nStat, G4double epsilon) const

G4double	EstimateSurfaceArea (G4int nStat, G4double ell) const

Protected Attributes
G4double	kRadTolerance

G4double	kAngTolerance

G4double	fRMin

G4double	fRMax

G4double	fDz

G4double	fSPhi

G4double	fDPhi

G4double	sinCPhi

G4double	cosCPhi

G4double	cosHDPhiOT

G4double	cosHDPhiIT

G4double	sinSPhi

G4double	cosSPhi

G4double	sinEPhi

G4double	cosEPhi

G4bool	fPhiFullTube

G4double	halfCarTolerance

G4double	halfRadTolerance

G4double	halfAngTolerance

Protected Attributes inherited from G4CSGSolid
G4double	fCubicVolume

G4double	fSurfaceArea

G4Polyhedron *	fpPolyhedron

Protected Attributes inherited from G4VSolid
G4double	kCarTolerance

Detailed Description

Definition at line 48 of file G4OTubs.hh.

Member Enumeration Documentation

enum G4OTubs::ENorm

protected

Enumerator
kNRMin
kNRMax
kNSPhi
kNEPhi
kNZ

Definition at line 170 of file G4OTubs.hh.

170 {kNRMin,kNRMax,kNSPhi,kNEPhi,kNZ};

G4OTubs::kNRMax

Definition: G4OTubs.hh:170

G4OTubs::kNEPhi

Definition: G4OTubs.hh:170

G4OTubs::kNSPhi

Definition: G4OTubs.hh:170

G4OTubs::kNZ

Definition: G4OTubs.hh:170

G4OTubs::kNRMin

Definition: G4OTubs.hh:170

enum G4OTubs::ESide

protected

Enumerator
kNull
kRMin
kRMax
kSPhi
kEPhi
kPZ
kMZ

Definition at line 166 of file G4OTubs.hh.

166 {kNull,kRMin,kRMax,kSPhi,kEPhi,kPZ,kMZ};

G4OTubs::kMZ

Definition: G4OTubs.hh:166

G4OTubs::kNull

Definition: G4OTubs.hh:166

G4OTubs::kRMax

Definition: G4OTubs.hh:166

G4OTubs::kPZ

Definition: G4OTubs.hh:166

G4OTubs::kRMin

Definition: G4OTubs.hh:166

G4OTubs::kSPhi

Definition: G4OTubs.hh:166

G4OTubs::kEPhi

Definition: G4OTubs.hh:166

Constructor & Destructor Documentation

G4OTubs::G4OTubs	(	const G4String &	pName,
		G4double	pRMin,
		G4double	pRMax,
		G4double	pDz,
		G4double	pSPhi,
		G4double	pDPhi
	)

Definition at line 60 of file G4OTubs.cc.

References CheckPhiAngles(), FatalException, G4endl, G4Exception(), G4GeometryTolerance::GetAngularTolerance(), G4GeometryTolerance::GetInstance(), G4VSolid::GetName(), G4GeometryTolerance::GetRadialTolerance(), halfAngTolerance, halfCarTolerance, halfRadTolerance, kAngTolerance, G4VSolid::kCarTolerance, and kRadTolerance.

Referenced by Clone().

   : G4CSGSolid(pName), fRMin(pRMin), fRMax(pRMax), fDz(pDz), fSPhi(0), fDPhi(0)
 {
 
   kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
   kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();
 
   halfCarTolerance=kCarTolerance*0.5;
   halfRadTolerance=kRadTolerance*0.5;
   halfAngTolerance=kAngTolerance*0.5;
 
   if (pDz<=0) // Check z-len
   {
     std::ostringstream message;
     message << "Negative Z half-length (" << pDz << ") in solid: " << GetName();
     G4Exception("G4Tubs::G4Tubs()", "GeomSolids0002", FatalException, message);
   }
   if ( (pRMin >= pRMax) || (pRMin < 0) ) // Check radii
   {
     std::ostringstream message;
     message << "Invalid values for radii in solid: " << GetName()
             << G4endl
             << "        pRMin = " << pRMin << ", pRMax = " << pRMax;
     G4Exception("G4Tubs::G4Tubs()", "GeomSolids0002", FatalException, message);
   }
 
   // Check angles
   //
   CheckPhiAngles(pSPhi, pDPhi);
 }

G4OTubs::~G4OTubs ( )

virtual

Definition at line 114 of file G4OTubs.cc.

115 {

116 }

G4OTubs::G4OTubs ( __void__ & a )

Definition at line 99 of file G4OTubs.cc.

   : G4CSGSolid(a), kRadTolerance(0.), kAngTolerance(0.),
     fRMin(0.), fRMax(0.), fDz(0.), fSPhi(0.), fDPhi(0.),
     sinCPhi(0.), cosCPhi(0.), cosHDPhiOT(0.), cosHDPhiIT(0.),
     sinSPhi(0.), cosSPhi(0.), sinEPhi(0.), cosEPhi(0.),
     fPhiFullTube(false), halfCarTolerance(0.), halfRadTolerance(0.),
     halfAngTolerance(0.)
 
 {
 }

G4OTubs::G4OTubs ( const G4OTubs & rhs )

Definition at line 122 of file G4OTubs.cc.

   : G4CSGSolid(rhs),
     kRadTolerance(rhs.kRadTolerance), kAngTolerance(rhs.kAngTolerance),
     fRMin(rhs.fRMin), fRMax(rhs.fRMax), fDz(rhs.fDz),
     fSPhi(rhs.fSPhi), fDPhi(rhs.fDPhi),
     sinCPhi(rhs.sinCPhi), cosCPhi(rhs.sinCPhi),
     cosHDPhiOT(rhs.cosHDPhiOT), cosHDPhiIT(rhs.cosHDPhiOT),
     sinSPhi(rhs.sinSPhi), cosSPhi(rhs.cosSPhi),
     sinEPhi(rhs.sinEPhi), cosEPhi(rhs.cosEPhi), fPhiFullTube(rhs.fPhiFullTube),
     halfCarTolerance(rhs.halfCarTolerance),
     halfRadTolerance(rhs.halfRadTolerance),
     halfAngTolerance(rhs.halfAngTolerance)
 {
 }

Member Function Documentation

G4ThreeVector G4OTubs::ApproxSurfaceNormal ( const G4ThreeVector & p ) const

protectedvirtual

Reimplemented in G4CutTubs.

Definition at line 644 of file G4OTubs.cc.

References G4VSolid::DumpInfo(), fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, G4Exception(), JustWarning, kNEPhi, kNRMax, kNRMin, kNSPhi, kNZ, python.hepunit::twopi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

Referenced by SurfaceNormal().

 {
   ENorm side ;
   G4ThreeVector norm ;
   G4double rho, phi ;
   G4double distZ, distRMin, distRMax, distSPhi, distEPhi, distMin ;
 
   rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
 
   distRMin = std::fabs(rho - fRMin) ;
   distRMax = std::fabs(rho - fRMax) ;
   distZ    = std::fabs(std::fabs(p.z()) - fDz) ;
 
   if (distRMin < distRMax) // First minimum
   {
     if ( distZ < distRMin )
     {
        distMin = distZ ;
        side    = kNZ ;
     }
     else
     {
       distMin = distRMin ;
       side    = kNRMin   ;
     }
   }
   else
   {
     if ( distZ < distRMax )
     {
       distMin = distZ ;
       side    = kNZ   ;
     }
     else
     {
       distMin = distRMax ;
       side    = kNRMax   ;
     }
   }   
   if (!fPhiFullTube  &&  rho ) // Protected against (0,0,z) 
   {
     phi = std::atan2(p.y(),p.x()) ;
 
     if ( phi < 0 )  { phi += twopi; }
 
     if ( fSPhi < 0 )
     {
       distSPhi = std::fabs(phi - (fSPhi + twopi))*rho ;
     }
     else
     {
       distSPhi = std::fabs(phi - fSPhi)*rho ;
     }
     distEPhi = std::fabs(phi - fSPhi - fDPhi)*rho ;
                                       
     if (distSPhi < distEPhi) // Find new minimum
     {
       if ( distSPhi < distMin )
       {
         side = kNSPhi ;
       }
     }
     else
     {
       if ( distEPhi < distMin )
       {
         side = kNEPhi ;
       }
     }
   }    
   switch ( side )
   {
     case kNRMin : // Inner radius
     {                      
       norm = G4ThreeVector(-p.x()/rho, -p.y()/rho, 0) ;
       break ;
     }
     case kNRMax : // Outer radius
     {                  
       norm = G4ThreeVector(p.x()/rho, p.y()/rho, 0) ;
       break ;
     }
     case kNZ :    // + or - dz
     {                              
       if ( p.z() > 0 )  { norm = G4ThreeVector(0,0,1) ; }
       else              { norm = G4ThreeVector(0,0,-1); }
       break ;
     }
     case kNSPhi:
     {
       norm = G4ThreeVector(std::sin(fSPhi), -std::cos(fSPhi), 0) ;
       break ;
     }
     case kNEPhi:
     {
       norm = G4ThreeVector(-std::sin(fSPhi+fDPhi), std::cos(fSPhi+fDPhi), 0) ;
       break;
     }
     default:      // Should never reach this case ...
     {
       DumpInfo();
       G4Exception("G4Tubs::ApproxSurfaceNormal()",
                   "GeomSolids1002", JustWarning,
                   "Undefined side for valid surface normal to solid.");
       break ;
     }    
   }                
   return norm;
 }

G4bool G4OTubs::CalculateExtent	(	const EAxis	pAxis,
		const G4VoxelLimits &	pVoxelLimit,
		const G4AffineTransform &	pTransform,
		G4double &	pmin,
		G4double &	pmax
	)		const

virtual

Implements G4VSolid.

Definition at line 172 of file G4OTubs.cc.

References G4VSolid::ClipBetweenSections(), G4VSolid::ClipCrossSection(), CreateRotatedVertices(), fDPhi, fDz, fRMax, fRMin, G4VoxelLimits::GetMaxExtent(), G4VoxelLimits::GetMaxXExtent(), G4VoxelLimits::GetMaxYExtent(), G4VoxelLimits::GetMaxZExtent(), G4VoxelLimits::GetMinExtent(), G4VoxelLimits::GetMinXExtent(), G4VoxelLimits::GetMinYExtent(), G4VoxelLimits::GetMinZExtent(), Inside(), G4AffineTransform::Inverse(), G4AffineTransform::IsRotated(), G4VoxelLimits::IsXLimited(), G4VoxelLimits::IsYLimited(), G4VoxelLimits::IsZLimited(), G4VSolid::kCarTolerance, kOutside, kXAxis, kYAxis, kZAxis, G4AffineTransform::NetTranslation(), G4AffineTransform::TransformPoint(), python.hepunit::twopi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {
 
   if ( (!pTransform.IsRotated()) && (fDPhi == twopi) && (fRMin == 0) )
   {
     // Special case handling for unrotated solid tubes
     // Compute x/y/z mins and maxs fro bounding box respecting limits,
     // with early returns if outside limits. Then switch() on pAxis,
     // and compute exact x and y limit for x/y case
       
     G4double xoffset, xMin, xMax;
     G4double yoffset, yMin, yMax;
     G4double zoffset, zMin, zMax;
 
     G4double diff1, diff2, maxDiff, newMin, newMax;
     G4double xoff1, xoff2, yoff1, yoff2, delta;
 
     xoffset = pTransform.NetTranslation().x();
     xMin = xoffset - fRMax;
     xMax = xoffset + fRMax;
 
     if (pVoxelLimit.IsXLimited())
     {
       if ( (xMin > pVoxelLimit.GetMaxXExtent())
         || (xMax < pVoxelLimit.GetMinXExtent()) )
       {
         return false;
       }
       else
       {
         if (xMin < pVoxelLimit.GetMinXExtent())
         {
           xMin = pVoxelLimit.GetMinXExtent();
         }
         if (xMax > pVoxelLimit.GetMaxXExtent())
         {
           xMax = pVoxelLimit.GetMaxXExtent();
         }
       }
     }
     yoffset = pTransform.NetTranslation().y();
     yMin    = yoffset - fRMax;
     yMax    = yoffset + fRMax;
 
     if ( pVoxelLimit.IsYLimited() )
     {
       if ( (yMin > pVoxelLimit.GetMaxYExtent())
         || (yMax < pVoxelLimit.GetMinYExtent()) )
       {
         return false;
       }
       else
       {
         if (yMin < pVoxelLimit.GetMinYExtent())
         {
           yMin = pVoxelLimit.GetMinYExtent();
         }
         if (yMax > pVoxelLimit.GetMaxYExtent())
         {
           yMax=pVoxelLimit.GetMaxYExtent();
         }
       }
     }
     zoffset = pTransform.NetTranslation().z();
     zMin    = zoffset - fDz;
     zMax    = zoffset + fDz;
 
     if ( pVoxelLimit.IsZLimited() )
     {
       if ( (zMin > pVoxelLimit.GetMaxZExtent())
         || (zMax < pVoxelLimit.GetMinZExtent()) )
       {
         return false;
       }
       else
       {
         if (zMin < pVoxelLimit.GetMinZExtent())
         {
           zMin = pVoxelLimit.GetMinZExtent();
         }
         if (zMax > pVoxelLimit.GetMaxZExtent())
         {
           zMax = pVoxelLimit.GetMaxZExtent();
         }
       }
     }
     switch ( pAxis )  // Known to cut cylinder
     {
       case kXAxis :
       {
         yoff1 = yoffset - yMin;
         yoff2 = yMax    - yoffset;
 
         if ( (yoff1 >= 0) && (yoff2 >= 0) ) // Y limits cross max/min x
         {                                   // => no change
           pMin = xMin;
           pMax = xMax;
         }
         else
         {
           // Y limits don't cross max/min x => compute max delta x,
           // hence new mins/maxs
 
           delta   = fRMax*fRMax - yoff1*yoff1;
           diff1   = (delta>0.) ? std::sqrt(delta) : 0.;
           delta   = fRMax*fRMax - yoff2*yoff2;
           diff2   = (delta>0.) ? std::sqrt(delta) : 0.;
           maxDiff = (diff1 > diff2) ? diff1:diff2;
           newMin  = xoffset - maxDiff;
           newMax  = xoffset + maxDiff;
           pMin    = (newMin < xMin) ? xMin : newMin;
           pMax    = (newMax > xMax) ? xMax : newMax;
         }    
         break;
       }
       case kYAxis :
       {
         xoff1 = xoffset - xMin;
         xoff2 = xMax - xoffset;
 
         if ( (xoff1 >= 0) && (xoff2 >= 0) ) // X limits cross max/min y
         {                                   // => no change
           pMin = yMin;
           pMax = yMax;
         }
         else
         {
           // X limits don't cross max/min y => compute max delta y,
           // hence new mins/maxs
 
           delta   = fRMax*fRMax - xoff1*xoff1;
           diff1   = (delta>0.) ? std::sqrt(delta) : 0.;
           delta   = fRMax*fRMax - xoff2*xoff2;
           diff2   = (delta>0.) ? std::sqrt(delta) : 0.;
           maxDiff = (diff1 > diff2) ? diff1 : diff2;
           newMin  = yoffset - maxDiff;
           newMax  = yoffset + maxDiff;
           pMin    = (newMin < yMin) ? yMin : newMin;
           pMax    = (newMax > yMax) ? yMax : newMax;
         }
         break;
       }
       case kZAxis:
       {
         pMin = zMin;
         pMax = zMax;
         break;
       }
       default:
         break;
     }
     pMin -= kCarTolerance;
     pMax += kCarTolerance;
     return true;
   }
   else // Calculate rotated vertex coordinates
   {
     G4int i, noEntries, noBetweenSections4;
     G4bool existsAfterClip = false;
     G4ThreeVectorList* vertices = CreateRotatedVertices(pTransform);
 
     pMin =  kInfinity;
     pMax = -kInfinity;
 
     noEntries = vertices->size();
     noBetweenSections4 = noEntries - 4;
     
     for ( i = 0 ; i < noEntries ; i += 4 )
     {
       ClipCrossSection(vertices, i, pVoxelLimit, pAxis, pMin, pMax);
     }
     for ( i = 0 ; i < noBetweenSections4 ; i += 4 )
     {
       ClipBetweenSections(vertices, i, pVoxelLimit, pAxis, pMin, pMax);
     }
     if ( (pMin != kInfinity) || (pMax != -kInfinity) )
     {
       existsAfterClip = true;
       pMin -= kCarTolerance; // Add 2*tolerance to avoid precision troubles
       pMax += kCarTolerance;
     }
     else
     {
       // Check for case where completely enveloping clipping volume
       // If point inside then we are confident that the solid completely
       // envelopes the clipping volume. Hence set min/max extents according
       // to clipping volume extents along the specified axis.
 
       G4ThreeVector clipCentre(
              (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5,
              (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5,
              (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5 );
         
       if ( Inside(pTransform.Inverse().TransformPoint(clipCentre)) != kOutside )
       {
         existsAfterClip = true;
         pMin            = pVoxelLimit.GetMinExtent(pAxis);
         pMax            = pVoxelLimit.GetMaxExtent(pAxis);
       }
     }
     delete vertices;
     return existsAfterClip;
   }
 }

void G4OTubs::CheckDPhiAngle ( G4double dPhi )

inlineprotected

void G4OTubs::CheckPhiAngles	(	G4double	sPhi,
		G4double	dPhi
	)

inlineprotected

Referenced by G4OTubs().

void G4OTubs::CheckSPhiAngle ( G4double sPhi )

inlineprotected

G4VSolid * G4OTubs::Clone ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1776 of file G4OTubs.cc.

References G4OTubs().

 {
   return new G4OTubs(*this);
 }

G4Polyhedron * G4OTubs::CreatePolyhedron ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1883 of file G4OTubs.cc.

References fDPhi, fDz, fRMax, fRMin, and fSPhi.

Referenced by G4CutTubs::CreatePolyhedron().

 {
   return new G4PolyhedronTubs (fRMin, fRMax, fDz, fSPhi, fDPhi) ;
 }

G4ThreeVectorList * G4OTubs::CreateRotatedVertices ( const G4AffineTransform & pTransform ) const

protected

Definition at line 1681 of file G4OTubs.cc.

References G4VSolid::DumpInfo(), FatalException, fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, G4Exception(), G4VSolid::kCarTolerance, kMaxMeshSections, kMeshAngleDefault, kMinMeshSections, and G4AffineTransform::TransformPoint().

Referenced by CalculateExtent().

 {
   G4ThreeVectorList* vertices ;
   G4ThreeVector vertex0, vertex1, vertex2, vertex3 ;
   G4double meshAngle, meshRMax, crossAngle,
            cosCrossAngle, sinCrossAngle, sAngle;
   G4double rMaxX, rMaxY, rMinX, rMinY, meshRMin ;
   G4int crossSection, noCrossSections;
 
   // Compute no of cross-sections necessary to mesh tube
   //
   noCrossSections = G4int(fDPhi/kMeshAngleDefault) + 1 ;
 
   if ( noCrossSections < kMinMeshSections )
   {
     noCrossSections = kMinMeshSections ;
   }
   else if (noCrossSections>kMaxMeshSections)
   {
     noCrossSections = kMaxMeshSections ;
   }
   // noCrossSections = 4 ;
 
   meshAngle = fDPhi/(noCrossSections - 1) ;
   // meshAngle = fDPhi/(noCrossSections) ;
 
   meshRMax  = (fRMax+100*kCarTolerance)/std::cos(meshAngle*0.5) ;
   meshRMin = fRMin - 100*kCarTolerance ; 
  
   // If complete in phi, set start angle such that mesh will be at fRMax
   // on the x axis. Will give better extent calculations when not rotated.
 
   if (fPhiFullTube && (fSPhi == 0) )  { sAngle = -meshAngle*0.5 ; }
   else                                { sAngle =  fSPhi ; }
     
   vertices = new G4ThreeVectorList();
     
   if ( vertices )
   {
     vertices->reserve(noCrossSections*4);
     for (crossSection = 0 ; crossSection < noCrossSections ; crossSection++ )
     {
       // Compute coordinates of cross section at section crossSection
 
       crossAngle    = sAngle + crossSection*meshAngle ;
       cosCrossAngle = std::cos(crossAngle) ;
       sinCrossAngle = std::sin(crossAngle) ;
 
       rMaxX = meshRMax*cosCrossAngle ;
       rMaxY = meshRMax*sinCrossAngle ;
 
       if(meshRMin <= 0.0)
       {
         rMinX = 0.0 ;
         rMinY = 0.0 ;
       }
       else
       {
         rMinX = meshRMin*cosCrossAngle ;
         rMinY = meshRMin*sinCrossAngle ;
       }
       vertex0 = G4ThreeVector(rMinX,rMinY,-fDz) ;
       vertex1 = G4ThreeVector(rMaxX,rMaxY,-fDz) ;
       vertex2 = G4ThreeVector(rMaxX,rMaxY,+fDz) ;
       vertex3 = G4ThreeVector(rMinX,rMinY,+fDz) ;
 
       vertices->push_back(pTransform.TransformPoint(vertex0)) ;
       vertices->push_back(pTransform.TransformPoint(vertex1)) ;
       vertices->push_back(pTransform.TransformPoint(vertex2)) ;
       vertices->push_back(pTransform.TransformPoint(vertex3)) ;
     }
   }
   else
   {
     DumpInfo();
     G4Exception("G4Tubs::CreateRotatedVertices()",
                 "GeomSolids0003", FatalException,
                 "Error in allocation of vertices. Out of memory !");
   }
   return vertices ;
 }

void G4OTubs::DescribeYourselfTo ( G4VGraphicsScene & scene ) const

virtual

Implements G4VSolid.

Definition at line 1878 of file G4OTubs.cc.

References G4VGraphicsScene::AddSolid().

 {
   scene.AddSolid (*this) ;
 }

G4double G4OTubs::DistanceToIn	(	const G4ThreeVector &	p,
		const G4ThreeVector &	v
	)		const

virtual

Implements G4VSolid.

Definition at line 776 of file G4OTubs.cc.

References test::b, test::c, cosCPhi, cosEPhi, cosHDPhiIT, cosSPhi, fDz, fPhiFullTube, fRMax, fRMin, halfCarTolerance, halfRadTolerance, kRadTolerance, sinCPhi, sinEPhi, sinSPhi, plottest35::t1, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {
   G4double snxt = kInfinity ;      // snxt = default return value
   G4double tolORMin2, tolIRMax2 ;  // 'generous' radii squared
   G4double tolORMax2, tolIRMin2, tolODz, tolIDz ;
   const G4double dRmax = 100.*fRMax;
 
   // Intersection point variables
   //
   G4double Dist, sd, xi, yi, zi, rho2, inum, iden, cosPsi, Comp ;
   G4double t1, t2, t3, b, c, d ;     // Quadratic solver variables 
   
   // Calculate tolerant rmin and rmax
 
   if (fRMin > kRadTolerance)
   {
     tolORMin2 = (fRMin - halfRadTolerance)*(fRMin - halfRadTolerance) ;
     tolIRMin2 = (fRMin + halfRadTolerance)*(fRMin + halfRadTolerance) ;
   }
   else
   {
     tolORMin2 = 0.0 ;
     tolIRMin2 = 0.0 ;
   }
   tolORMax2 = (fRMax + halfRadTolerance)*(fRMax + halfRadTolerance) ;
   tolIRMax2 = (fRMax - halfRadTolerance)*(fRMax - halfRadTolerance) ;
 
   // Intersection with Z surfaces
 
   tolIDz = fDz - halfCarTolerance ;
   tolODz = fDz + halfCarTolerance ;
 
   if (std::fabs(p.z()) >= tolIDz)
   {
     if ( p.z()*v.z() < 0 )    // at +Z going in -Z or visa versa
     {
       sd = (std::fabs(p.z()) - fDz)/std::fabs(v.z()) ;  // Z intersect distance
 
       if(sd < 0.0)  { sd = 0.0; }
 
       xi   = p.x() + sd*v.x() ;                // Intersection coords
       yi   = p.y() + sd*v.y() ;
       rho2 = xi*xi + yi*yi ;
 
       // Check validity of intersection
 
       if ((tolIRMin2 <= rho2) && (rho2 <= tolIRMax2))
       {
         if (!fPhiFullTube && rho2)
         {
           // Psi = angle made with central (average) phi of shape
           //
           inum   = xi*cosCPhi + yi*sinCPhi ;
           iden   = std::sqrt(rho2) ;
           cosPsi = inum/iden ;
           if (cosPsi >= cosHDPhiIT)  { return sd ; }
         }
         else
         {
           return sd ;
         }
       }
     }
     else
     {
       if ( snxt<halfCarTolerance )  { snxt=0; }
       return snxt ;  // On/outside extent, and heading away
                      // -> cannot intersect
     }
   }
 
   // -> Can not intersect z surfaces
   //
   // Intersection with rmax (possible return) and rmin (must also check phi)
   //
   // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
   //
   // Intersects with x^2+y^2=R^2
   //
   // Hence (v.x^2+v.y^2)t^2+ 2t(p.x*v.x+p.y*v.y)+p.x^2+p.y^2-R^2=0
   //            t1                t2                t3
 
   t1 = 1.0 - v.z()*v.z() ;
   t2 = p.x()*v.x() + p.y()*v.y() ;
   t3 = p.x()*p.x() + p.y()*p.y() ;
 
   if ( t1 > 0 )        // Check not || to z axis
   {
     b = t2/t1 ;
     c = t3 - fRMax*fRMax ;
     if ((t3 >= tolORMax2) && (t2<0))   // This also handles the tangent case
     {
       // Try outer cylinder intersection
       //          c=(t3-fRMax*fRMax)/t1;
 
       c /= t1 ;
       d = b*b - c ;
 
       if (d >= 0)  // If real root
       {
         sd = c/(-b+std::sqrt(d));
         if (sd >= 0)  // If 'forwards'
         {
           if ( sd>dRmax ) // Avoid rounding errors due to precision issues on
           {               // 64 bits systems. Split long distances and recompute
             G4double fTerm = sd-std::fmod(sd,dRmax);
             sd = fTerm + DistanceToIn(p+fTerm*v,v);
           } 
           // Check z intersection
           //
           zi = p.z() + sd*v.z() ;
           if (std::fabs(zi)<=tolODz)
           {
             // Z ok. Check phi intersection if reqd
             //
             if (fPhiFullTube)
             {
               return sd ;
             }
             else
             {
               xi     = p.x() + sd*v.x() ;
               yi     = p.y() + sd*v.y() ;
               cosPsi = (xi*cosCPhi + yi*sinCPhi)/fRMax ;
               if (cosPsi >= cosHDPhiIT)  { return sd ; }
             }
           }  //  end if std::fabs(zi)
         }    //  end if (sd>=0)
       }      //  end if (d>=0)
     }        //  end if (r>=fRMax)
     else 
     {
       // Inside outer radius :
       // check not inside, and heading through tubs (-> 0 to in)
 
       if ((t3 > tolIRMin2) && (t2 < 0) && (std::fabs(p.z()) <= tolIDz))
       {
         // Inside both radii, delta r -ve, inside z extent
 
         if (!fPhiFullTube)
         {
           inum   = p.x()*cosCPhi + p.y()*sinCPhi ;
           iden   = std::sqrt(t3) ;
           cosPsi = inum/iden ;
           if (cosPsi >= cosHDPhiIT)
           {
             // In the old version, the small negative tangent for the point
             // on surface was not taken in account, and returning 0.0 ...
             // New version: check the tangent for the point on surface and 
             // if no intersection, return kInfinity, if intersection instead
             // return sd.
             //
             c = t3-fRMax*fRMax; 
             if ( c<=0.0 )
             {
               return 0.0;
             }
             else
             {
               c = c/t1 ;
               d = b*b-c;
               if ( d>=0.0 )
               {
                 snxt = c/(-b+std::sqrt(d)); // using safe solution
                                             // for quadratic equation 
                 if ( snxt < halfCarTolerance ) { snxt=0; }
                 return snxt ;
               }      
               else
               {
                 return kInfinity;
               }
             }
           } 
         }
         else
         {   
           // In the old version, the small negative tangent for the point
           // on surface was not taken in account, and returning 0.0 ...
           // New version: check the tangent for the point on surface and 
           // if no intersection, return kInfinity, if intersection instead
           // return sd.
           //
           c = t3 - fRMax*fRMax; 
           if ( c<=0.0 )
           {
             return 0.0;
           }
           else
           {
             c = c/t1 ;
             d = b*b-c;
             if ( d>=0.0 )
             {
               snxt= c/(-b+std::sqrt(d)); // using safe solution
                                          // for quadratic equation 
               if ( snxt < halfCarTolerance ) { snxt=0; }
               return snxt ;
             }      
             else
             {
               return kInfinity;
             }
           }
         } // end if   (!fPhiFullTube)
       }   // end if   (t3>tolIRMin2)
     }     // end if   (Inside Outer Radius) 
     if ( fRMin )    // Try inner cylinder intersection
     {
       c = (t3 - fRMin*fRMin)/t1 ;
       d = b*b - c ;
       if ( d >= 0.0 )  // If real root
       {
         // Always want 2nd root - we are outside and know rmax Hit was bad
         // - If on surface of rmin also need farthest root
 
         sd =( b > 0. )? c/(-b - std::sqrt(d)) : (-b + std::sqrt(d));
         if (sd >= -halfCarTolerance)  // check forwards
         {
           // Check z intersection
           //
           if(sd < 0.0)  { sd = 0.0; }
           if ( sd>dRmax ) // Avoid rounding errors due to precision issues seen
           {               // 64 bits systems. Split long distances and recompute
             G4double fTerm = sd-std::fmod(sd,dRmax);
             sd = fTerm + DistanceToIn(p+fTerm*v,v);
           } 
           zi = p.z() + sd*v.z() ;
           if (std::fabs(zi) <= tolODz)
           {
             // Z ok. Check phi
             //
             if ( fPhiFullTube )
             {
               return sd ; 
             }
             else
             {
               xi     = p.x() + sd*v.x() ;
               yi     = p.y() + sd*v.y() ;
               cosPsi = (xi*cosCPhi + yi*sinCPhi)/fRMin ;
               if (cosPsi >= cosHDPhiIT)
               {
                 // Good inner radius isect
                 // - but earlier phi isect still possible
 
                 snxt = sd ;
               }
             }
           }        //    end if std::fabs(zi)
         }          //    end if (sd>=0)
       }            //    end if (d>=0)
     }              //    end if (fRMin)
   }
 
   // Phi segment intersection
   //
   // o Tolerant of points inside phi planes by up to kCarTolerance*0.5
   //
   // o NOTE: Large duplication of code between sphi & ephi checks
   //         -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane
   //            intersection check <=0 -> >=0
   //         -> use some form of loop Construct ?
   //
   if ( !fPhiFullTube )
   {
     // First phi surface (Starting phi)
     //
     Comp    = v.x()*sinSPhi - v.y()*cosSPhi ;
                     
     if ( Comp < 0 )  // Component in outwards normal dirn
     {
       Dist = (p.y()*cosSPhi - p.x()*sinSPhi) ;
 
       if ( Dist < halfCarTolerance )
       {
         sd = Dist/Comp ;
 
         if (sd < snxt)
         {
           if ( sd < 0 )  { sd = 0.0; }
           zi = p.z() + sd*v.z() ;
           if ( std::fabs(zi) <= tolODz )
           {
             xi   = p.x() + sd*v.x() ;
             yi   = p.y() + sd*v.y() ;
             rho2 = xi*xi + yi*yi ;
 
             if ( ( (rho2 >= tolIRMin2) && (rho2 <= tolIRMax2) )
               || ( (rho2 >  tolORMin2) && (rho2 <  tolIRMin2)
                 && ( v.y()*cosSPhi - v.x()*sinSPhi >  0 )
                 && ( v.x()*cosSPhi + v.y()*sinSPhi >= 0 )     )
               || ( (rho2 > tolIRMax2) && (rho2 < tolORMax2)
                 && (v.y()*cosSPhi - v.x()*sinSPhi > 0)
                 && (v.x()*cosSPhi + v.y()*sinSPhi < 0) )    )
             {
               // z and r intersections good
               // - check intersecting with correct half-plane
               //
               if ((yi*cosCPhi-xi*sinCPhi) <= halfCarTolerance) { snxt = sd; }
             }
           }
         }
       }    
     }
       
     // Second phi surface (Ending phi)
 
     Comp    = -(v.x()*sinEPhi - v.y()*cosEPhi) ;
         
     if (Comp < 0 )  // Component in outwards normal dirn
     {
       Dist = -(p.y()*cosEPhi - p.x()*sinEPhi) ;
 
       if ( Dist < halfCarTolerance )
       {
         sd = Dist/Comp ;
 
         if (sd < snxt)
         {
           if ( sd < 0 )  { sd = 0; }
           zi = p.z() + sd*v.z() ;
           if ( std::fabs(zi) <= tolODz )
           {
             xi   = p.x() + sd*v.x() ;
             yi   = p.y() + sd*v.y() ;
             rho2 = xi*xi + yi*yi ;
             if ( ( (rho2 >= tolIRMin2) && (rho2 <= tolIRMax2) )
                 || ( (rho2 > tolORMin2)  && (rho2 < tolIRMin2)
                   && (v.x()*sinEPhi - v.y()*cosEPhi >  0)
                   && (v.x()*cosEPhi + v.y()*sinEPhi >= 0) )
                 || ( (rho2 > tolIRMax2) && (rho2 < tolORMax2)
                   && (v.x()*sinEPhi - v.y()*cosEPhi > 0)
                   && (v.x()*cosEPhi + v.y()*sinEPhi < 0) ) )
             {
               // z and r intersections good
               // - check intersecting with correct half-plane
               //
               if ( (yi*cosCPhi-xi*sinCPhi) >= 0 ) { snxt = sd; }
             }                         //?? >=-halfCarTolerance
           }
         }
       }
     }         //  Comp < 0
   }           //  !fPhiFullTube 
   if ( snxt<halfCarTolerance )  { snxt=0; }
   return snxt ;
 }

G4double G4OTubs::DistanceToIn ( const G4ThreeVector & p ) const

virtual

Implements G4VSolid.

Definition at line 1152 of file G4OTubs.cc.

References cosCPhi, cosEPhi, cosSPhi, fDPhi, fDz, fPhiFullTube, fRMax, fRMin, sinCPhi, sinEPhi, sinSPhi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {
   G4double safe=0.0, rho, safe1, safe2, safe3 ;
   G4double safePhi, cosPsi ;
 
   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
   safe1 = fRMin - rho ;
   safe2 = rho - fRMax ;
   safe3 = std::fabs(p.z()) - fDz ;
 
   if ( safe1 > safe2 ) { safe = safe1; }
   else                 { safe = safe2; }
   if ( safe3 > safe )  { safe = safe3; }
 
   if ( (!fPhiFullTube) && (rho) )
   {
     // Psi=angle from central phi to point
     //
     cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/rho ;
     
     if ( cosPsi < std::cos(fDPhi*0.5) )
     {
       // Point lies outside phi range
 
       if ( (p.y()*cosCPhi - p.x()*sinCPhi) <= 0 )
       {
         safePhi = std::fabs(p.x()*sinSPhi - p.y()*cosSPhi) ;
       }
       else
       {
         safePhi = std::fabs(p.x()*sinEPhi - p.y()*cosEPhi) ;
       }
       if ( safePhi > safe )  { safe = safePhi; }
     }
   }
   if ( safe < 0 )  { safe = 0; }
   return safe ;
 }

G4double G4OTubs::DistanceToOut	(	const G4ThreeVector &	p,
		const G4ThreeVector &	v,
		const G4bool	calcNorm = `G4bool(false)`,
		G4bool *	validNorm = `0`,
		G4ThreeVector *	n = `0`
	)		const

virtual

Implements G4VSolid.

Definition at line 1196 of file G4OTubs.cc.

References test::b, test::c, cosCPhi, cosEPhi, cosSPhi, G4VSolid::DumpInfo(), fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, G4cout, G4endl, G4Exception(), halfAngTolerance, halfCarTolerance, JustWarning, G4VSolid::kCarTolerance, kEPhi, kMZ, kNull, kPZ, kRadTolerance, kRMax, kRMin, kSPhi, python.hepunit::mm, python.hepunit::pi, sinCPhi, sinEPhi, sinSPhi, plottest35::t1, python.hepunit::twopi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {  
   ESide side=kNull , sider=kNull, sidephi=kNull ;
   G4double snxt, srd=kInfinity, sphi=kInfinity, pdist ;
   G4double deltaR, t1, t2, t3, b, c, d2, roMin2 ;
 
   // Vars for phi intersection:
 
   G4double pDistS, compS, pDistE, compE, sphi2, xi, yi, vphi, roi2 ;
  
   // Z plane intersection
 
   if (v.z() > 0 )
   {
     pdist = fDz - p.z() ;
     if ( pdist > halfCarTolerance )
     {
       snxt = pdist/v.z() ;
       side = kPZ ;
     }
     else
     {
       if (calcNorm)
       {
         *n         = G4ThreeVector(0,0,1) ;
         *validNorm = true ;
       }
       return snxt = 0 ;
     }
   }
   else if ( v.z() < 0 )
   {
     pdist = fDz + p.z() ;
 
     if ( pdist > halfCarTolerance )
     {
       snxt = -pdist/v.z() ;
       side = kMZ ;
     }
     else
     {
       if (calcNorm)
       {
         *n         = G4ThreeVector(0,0,-1) ;
         *validNorm = true ;
       }
       return snxt = 0.0 ;
     }
   }
   else
   {
     snxt = kInfinity ;    // Travel perpendicular to z axis
     side = kNull;
   }
 
   // Radial Intersections
   //
   // Find intersection with cylinders at rmax/rmin
   // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
   //
   // Intersects with x^2+y^2=R^2
   //
   // Hence (v.x^2+v.y^2)t^2+ 2t(p.x*v.x+p.y*v.y)+p.x^2+p.y^2-R^2=0
   //
   //            t1                t2                    t3
 
   t1   = 1.0 - v.z()*v.z() ;      // since v normalised
   t2   = p.x()*v.x() + p.y()*v.y() ;
   t3   = p.x()*p.x() + p.y()*p.y() ;
 
   if ( snxt > 10*(fDz+fRMax) )  { roi2 = 2*fRMax*fRMax; }
   else  { roi2 = snxt*snxt*t1 + 2*snxt*t2 + t3; }        // radius^2 on +-fDz
 
   if ( t1 > 0 ) // Check not parallel
   {
     // Calculate srd, r exit distance
      
     if ( (t2 >= 0.0) && (roi2 > fRMax*(fRMax + kRadTolerance)) )
     {
       // Delta r not negative => leaving via rmax
 
       deltaR = t3 - fRMax*fRMax ;
 
       // NOTE: Should use rho-fRMax<-kRadTolerance*0.5
       // - avoid sqrt for efficiency
 
       if ( deltaR < -kRadTolerance*fRMax )
       {
         b     = t2/t1 ;
         c     = deltaR/t1 ;
         d2    = b*b-c;
         if( d2 >= 0 ) { srd = c/( -b - std::sqrt(d2)); }
         else          { srd = 0.; }
         sider = kRMax ;
       }
       else
       {
         // On tolerant boundary & heading outwards (or perpendicular to)
         // outer radial surface -> leaving immediately
 
         if ( calcNorm ) 
         {
           *n         = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
           *validNorm = true ;
         }
         return snxt = 0 ; // Leaving by rmax immediately
       }
     }             
     else if ( t2 < 0. ) // i.e.  t2 < 0; Possible rmin intersection
     {
       roMin2 = t3 - t2*t2/t1 ; // min ro2 of the plane of movement 
 
       if ( fRMin && (roMin2 < fRMin*(fRMin - kRadTolerance)) )
       {
         deltaR = t3 - fRMin*fRMin ;
         b      = t2/t1 ;
         c      = deltaR/t1 ;
         d2     = b*b - c ;
 
         if ( d2 >= 0 )   // Leaving via rmin
         {
           // NOTE: SHould use rho-rmin>kRadTolerance*0.5
           // - avoid sqrt for efficiency
 
           if (deltaR > kRadTolerance*fRMin)
           {
             srd = c/(-b+std::sqrt(d2)); 
             sider = kRMin ;
           }
           else
           {
             if ( calcNorm ) { *validNorm = false; }  // Concave side
             return snxt = 0.0;
           }
         }
         else    // No rmin intersect -> must be rmax intersect
         {
           deltaR = t3 - fRMax*fRMax ;
           c     = deltaR/t1 ;
           d2    = b*b-c;
           if( d2 >=0. )
           {
             srd     = -b + std::sqrt(d2) ;
             sider  = kRMax ;
           }
           else // Case: On the border+t2<kRadTolerance
                //       (v is perpendicular to the surface)
           {
             if (calcNorm)
             {
               *n = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
               *validNorm = true ;
             }
             return snxt = 0.0;
           }
         }
       }
       else if ( roi2 > fRMax*(fRMax + kRadTolerance) )
            // No rmin intersect -> must be rmax intersect
       {
         deltaR = t3 - fRMax*fRMax ;
         b      = t2/t1 ;
         c      = deltaR/t1;
         d2     = b*b-c;
         if( d2 >= 0 )
         {
           srd     = -b + std::sqrt(d2) ;
           sider  = kRMax ;
         }
         else // Case: On the border+t2<kRadTolerance
              //       (v is perpendicular to the surface)
         {
           if (calcNorm)
           {
             *n = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
             *validNorm = true ;
           }
           return snxt = 0.0;
         }
       }
     }
     
     // Phi Intersection
 
     if ( !fPhiFullTube )
     {
       // add angle calculation with correction 
       // of the difference in domain of atan2 and Sphi
       //
       vphi = std::atan2(v.y(),v.x()) ;
      
       if ( vphi < fSPhi - halfAngTolerance  )             { vphi += twopi; }
       else if ( vphi > fSPhi + fDPhi + halfAngTolerance ) { vphi -= twopi; }
 
 
       if ( p.x() || p.y() )  // Check if on z axis (rho not needed later)
       {
         // pDist -ve when inside
 
         pDistS = p.x()*sinSPhi - p.y()*cosSPhi ;
         pDistE = -p.x()*sinEPhi + p.y()*cosEPhi ;
 
         // Comp -ve when in direction of outwards normal
 
         compS   = -sinSPhi*v.x() + cosSPhi*v.y() ;
         compE   =  sinEPhi*v.x() - cosEPhi*v.y() ;
        
         sidephi = kNull;
         
         if( ( (fDPhi <= pi) && ( (pDistS <= halfCarTolerance)
                               && (pDistE <= halfCarTolerance) ) )
          || ( (fDPhi >  pi) && !((pDistS >  halfCarTolerance)
                               && (pDistE >  halfCarTolerance) ) )  )
         {
           // Inside both phi *full* planes
           
           if ( compS < 0 )
           {
             sphi = pDistS/compS ;
             
             if (sphi >= -halfCarTolerance)
             {
               xi = p.x() + sphi*v.x() ;
               yi = p.y() + sphi*v.y() ;
               
               // Check intersecting with correct half-plane
               // (if not -> no intersect)
               //
               if( (std::fabs(xi)<=kCarTolerance)&&(std::fabs(yi)<=kCarTolerance) )
               {
                 sidephi = kSPhi;
                 if (((fSPhi-halfAngTolerance)<=vphi)
                    &&((fSPhi+fDPhi+halfAngTolerance)>=vphi))
                 {
                   sphi = kInfinity;
                 }
               }
               else if ( yi*cosCPhi-xi*sinCPhi >=0 )
               {
                 sphi = kInfinity ;
               }
               else
               {
                 sidephi = kSPhi ;
                 if ( pDistS > -halfCarTolerance )
                 {
                   sphi = 0.0 ; // Leave by sphi immediately
                 }    
               }       
             }
             else
             {
               sphi = kInfinity ;
             }
           }
           else
           {
             sphi = kInfinity ;
           }
 
           if ( compE < 0 )
           {
             sphi2 = pDistE/compE ;
             
             // Only check further if < starting phi intersection
             //
             if ( (sphi2 > -halfCarTolerance) && (sphi2 < sphi) )
             {
               xi = p.x() + sphi2*v.x() ;
               yi = p.y() + sphi2*v.y() ;
               
               if ((std::fabs(xi)<=kCarTolerance)&&(std::fabs(yi)<=kCarTolerance))
               {
                 // Leaving via ending phi
                 //
                 if( !((fSPhi-halfAngTolerance <= vphi)
                      &&(fSPhi+fDPhi+halfAngTolerance >= vphi)) )
                 {
                   sidephi = kEPhi ;
                   if ( pDistE <= -halfCarTolerance )  { sphi = sphi2 ; }
                   else                                { sphi = 0.0 ;   }
                 }
               } 
               else    // Check intersecting with correct half-plane 
 
               if ( (yi*cosCPhi-xi*sinCPhi) >= 0)
               {
                 // Leaving via ending phi
                 //
                 sidephi = kEPhi ;
                 if ( pDistE <= -halfCarTolerance ) { sphi = sphi2 ; }
                 else                               { sphi = 0.0 ;   }
               }
             }
           }
         }
         else
         {
           sphi = kInfinity ;
         }
       }
       else
       {
         // On z axis + travel not || to z axis -> if phi of vector direction
         // within phi of shape, Step limited by rmax, else Step =0
                
         if ( (fSPhi - halfAngTolerance <= vphi)
            && (vphi <= fSPhi + fDPhi + halfAngTolerance ) )
         {
           sphi = kInfinity ;
         }
         else
         {
           sidephi = kSPhi ; // arbitrary 
           sphi    = 0.0 ;
         }
       }
       if (sphi < snxt)  // Order intersecttions
       {
         snxt = sphi ;
         side = sidephi ;
       }
     }
     if (srd < snxt)  // Order intersections
     {
       snxt = srd ;
       side = sider ;
     }
   }
   if (calcNorm)
   {
     switch(side)
     {
       case kRMax:
         // Note: returned vector not normalised
         // (divide by fRMax for unit vector)
         //
         xi = p.x() + snxt*v.x() ;
         yi = p.y() + snxt*v.y() ;
         *n = G4ThreeVector(xi/fRMax,yi/fRMax,0) ;
         *validNorm = true ;
         break ;
 
       case kRMin:
         *validNorm = false ;  // Rmin is inconvex
         break ;
 
       case kSPhi:
         if ( fDPhi <= pi )
         {
           *n         = G4ThreeVector(sinSPhi,-cosSPhi,0) ;
           *validNorm = true ;
         }
         else
         {
           *validNorm = false ;
         }
         break ;
 
       case kEPhi:
         if (fDPhi <= pi)
         {
           *n = G4ThreeVector(-sinEPhi,cosEPhi,0) ;
           *validNorm = true ;
         }
         else
         {
           *validNorm = false ;
         }
         break ;
 
       case kPZ:
         *n         = G4ThreeVector(0,0,1) ;
         *validNorm = true ;
         break ;
 
       case kMZ:
         *n         = G4ThreeVector(0,0,-1) ;
         *validNorm = true ;
         break ;
 
       default:
         G4cout << G4endl ;
         DumpInfo();
         std::ostringstream message;
         G4int oldprc = message.precision(16);
         message << "Undefined side for valid surface normal to solid."
                 << G4endl
                 << "Position:"  << G4endl << G4endl
                 << "p.x() = "   << p.x()/mm << " mm" << G4endl
                 << "p.y() = "   << p.y()/mm << " mm" << G4endl
                 << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl
                 << "Direction:" << G4endl << G4endl
                 << "v.x() = "   << v.x() << G4endl
                 << "v.y() = "   << v.y() << G4endl
                 << "v.z() = "   << v.z() << G4endl << G4endl
                 << "Proposed distance :" << G4endl << G4endl
                 << "snxt = "    << snxt/mm << " mm" << G4endl ;
         message.precision(oldprc) ;
         G4Exception("G4Tubs::DistanceToOut(p,v,..)", "GeomSolids1002",
                     JustWarning, message);
         break ;
     }
   }
   if ( snxt<halfCarTolerance )  { snxt=0 ; }
 
   return snxt ;
 }

G4double G4OTubs::DistanceToOut ( const G4ThreeVector & p ) const

virtual

Implements G4VSolid.

Definition at line 1613 of file G4OTubs.cc.

References cosCPhi, cosEPhi, cosSPhi, G4VSolid::DumpInfo(), fDz, fPhiFullTube, fRMax, fRMin, G4cout, G4endl, G4Exception(), Inside(), JustWarning, kOutside, python.hepunit::mm, sinCPhi, sinEPhi, sinSPhi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {
   G4double safe=0.0, rho, safeR1, safeR2, safeZ, safePhi ;
   rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
 
 #ifdef G4CSGDEBUG
   if( Inside(p) == kOutside )
   {
     G4int oldprc = G4cout.precision(16) ;
     G4cout << G4endl ;
     DumpInfo();
     G4cout << "Position:"  << G4endl << G4endl ;
     G4cout << "p.x() = "   << p.x()/mm << " mm" << G4endl ;
     G4cout << "p.y() = "   << p.y()/mm << " mm" << G4endl ;
     G4cout << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl ;
     G4cout.precision(oldprc) ;
     G4Exception("G4Tubs::DistanceToOut(p)", "GeomSolids1002",
                 JustWarning, "Point p is outside !?");
   }
 #endif
 
   if ( fRMin )
   {
     safeR1 = rho   - fRMin ;
     safeR2 = fRMax - rho ;
  
     if ( safeR1 < safeR2 ) { safe = safeR1 ; }
     else                   { safe = safeR2 ; }
   }
   else
   {
     safe = fRMax - rho ;
   }
   safeZ = fDz - std::fabs(p.z()) ;
 
   if ( safeZ < safe )  { safe = safeZ ; }
 
   // Check if phi divided, Calc distances closest phi plane
   //
   if ( !fPhiFullTube )
   {
     if ( p.y()*cosCPhi-p.x()*sinCPhi <= 0 )
     {
       safePhi = -(p.x()*sinSPhi - p.y()*cosSPhi) ;
     }
     else
     {
       safePhi = (p.x()*sinEPhi - p.y()*cosEPhi) ;
     }
     if (safePhi < safe)  { safe = safePhi ; }
   }
   if ( safe < 0 )  { safe = 0 ; }
 
   return safe ;  
 }

G4double G4OTubs::GetCubicVolume ( )

inlinevirtual

Reimplemented from G4VSolid.

G4double G4OTubs::GetDeltaPhiAngle ( ) const

inline

Referenced by G4GDMLWriteSolids::CutTubeWrite().

G4double G4OTubs::GetDPhi ( ) const

inline

G4double G4OTubs::GetDz ( ) const

inline

G4GeometryType G4OTubs::GetEntityType ( ) const

virtual

Implements G4VSolid.

Definition at line 1767 of file G4OTubs.cc.

 {
   return G4String("G4Tubs");
 }

G4double G4OTubs::GetInnerRadius ( ) const

inline

Referenced by G4GDMLWriteSolids::CutTubeWrite().

G4double G4OTubs::GetOuterRadius ( ) const

inline

Referenced by G4GDMLWriteSolids::CutTubeWrite().

G4ThreeVector G4OTubs::GetPointOnSurface ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1808 of file G4OTubs.cc.

References fDPhi, fDz, fRMax, fRMin, fSPhi, G4CSGSolid::GetRadiusInRing(), G4INCL::DeJongSpin::shoot(), and python.hepunit::twopi.

 {
   G4double xRand, yRand, zRand, phi, cosphi, sinphi, chose,
            aOne, aTwo, aThr, aFou;
   G4double rRand;
 
   aOne = 2.*fDz*fDPhi*fRMax;
   aTwo = 2.*fDz*fDPhi*fRMin;
   aThr = 0.5*fDPhi*(fRMax*fRMax-fRMin*fRMin);
   aFou = 2.*fDz*(fRMax-fRMin);
 
   phi    = RandFlat::shoot(fSPhi, fSPhi+fDPhi);
   cosphi = std::cos(phi);
   sinphi = std::sin(phi);
 
   rRand  = GetRadiusInRing(fRMin,fRMax);
   
   if( (fSPhi == 0) && (fDPhi == twopi) ) { aFou = 0; }
   
   chose  = RandFlat::shoot(0.,aOne+aTwo+2.*aThr+2.*aFou);
 
   if( (chose >=0) && (chose < aOne) )
   {
     xRand = fRMax*cosphi;
     yRand = fRMax*sinphi;
     zRand = RandFlat::shoot(-1.*fDz,fDz);
     return G4ThreeVector  (xRand, yRand, zRand);
   }
   else if( (chose >= aOne) && (chose < aOne + aTwo) )
   {
     xRand = fRMin*cosphi;
     yRand = fRMin*sinphi;
     zRand = RandFlat::shoot(-1.*fDz,fDz);
     return G4ThreeVector  (xRand, yRand, zRand);
   }
   else if( (chose >= aOne + aTwo) && (chose < aOne + aTwo + aThr) )
   {
     xRand = rRand*cosphi;
     yRand = rRand*sinphi;
     zRand = fDz;
     return G4ThreeVector  (xRand, yRand, zRand);
   }
   else if( (chose >= aOne + aTwo + aThr) && (chose < aOne + aTwo + 2.*aThr) )
   {
     xRand = rRand*cosphi;
     yRand = rRand*sinphi;
     zRand = -1.*fDz;
     return G4ThreeVector  (xRand, yRand, zRand);
   }
   else if( (chose >= aOne + aTwo + 2.*aThr)
         && (chose < aOne + aTwo + 2.*aThr + aFou) )
   {
     xRand = rRand*std::cos(fSPhi);
     yRand = rRand*std::sin(fSPhi);
     zRand = RandFlat::shoot(-1.*fDz,fDz);
     return G4ThreeVector  (xRand, yRand, zRand);
   }
   else
   {
     xRand = rRand*std::cos(fSPhi+fDPhi);
     yRand = rRand*std::sin(fSPhi+fDPhi);
     zRand = RandFlat::shoot(-1.*fDz,fDz);
     return G4ThreeVector  (xRand, yRand, zRand);
   }
 }

G4double G4OTubs::GetRMax ( ) const

inline

G4double G4OTubs::GetRMin ( ) const

inline

G4double G4OTubs::GetSPhi ( ) const

inline

G4double G4OTubs::GetStartPhiAngle ( ) const

inline

Referenced by G4GDMLWriteSolids::CutTubeWrite().

G4double G4OTubs::GetSurfaceArea ( )

inlinevirtual

Reimplemented from G4VSolid.

G4double G4OTubs::GetZHalfLength ( ) const

inline

Referenced by G4GDMLWriteSolids::CutTubeWrite().

void G4OTubs::Initialize ( )

inlineprotected

void G4OTubs::InitializeTrigonometry ( )

inlineprotected

EInside G4OTubs::Inside ( const G4ThreeVector & p ) const

virtual

Implements G4VSolid.

Definition at line 386 of file G4OTubs.cc.

References fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, halfAngTolerance, halfCarTolerance, halfRadTolerance, kInside, kOutside, kSurface, python.hepunit::twopi, CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

Referenced by CalculateExtent(), and DistanceToOut().

 {
   G4double r2,pPhi,tolRMin,tolRMax;
   EInside in = kOutside ;
 
   if (std::fabs(p.z()) <= fDz - halfCarTolerance)
   {
     r2 = p.x()*p.x() + p.y()*p.y() ;
 
     if (fRMin) { tolRMin = fRMin + halfRadTolerance ; }
     else       { tolRMin = 0 ; }
 
     tolRMax = fRMax - halfRadTolerance ;
       
     if ((r2 >= tolRMin*tolRMin) && (r2 <= tolRMax*tolRMax))
     {
       if ( fPhiFullTube )
       {
         in = kInside ;
       }
       else
       {
         // Try inner tolerant phi boundaries (=>inside)
         // if not inside, try outer tolerant phi boundaries
 
         if ( (tolRMin==0) && (std::fabs(p.x())<=halfCarTolerance)
                           && (std::fabs(p.y())<=halfCarTolerance) )
         {
           in=kSurface;
         }
         else
         {
           pPhi = std::atan2(p.y(),p.x()) ;
           if ( pPhi < -halfAngTolerance )  { pPhi += twopi; } // 0<=pPhi<2pi
 
           if ( fSPhi >= 0 )
           {
             if ( (std::fabs(pPhi) < halfAngTolerance)
               && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
             { 
               pPhi += twopi ; // 0 <= pPhi < 2pi
             }
             if ( (pPhi >= fSPhi + halfAngTolerance)
               && (pPhi <= fSPhi + fDPhi - halfAngTolerance) )
             {
               in = kInside ;
             }
             else if ( (pPhi >= fSPhi - halfAngTolerance)
                    && (pPhi <= fSPhi + fDPhi + halfAngTolerance) )
             {
               in = kSurface ;
             }
           }
           else  // fSPhi < 0
           {
             if ( (pPhi <= fSPhi + twopi - halfAngTolerance)
               && (pPhi >= fSPhi + fDPhi  + halfAngTolerance) ) {;} //kOutside
             else if ( (pPhi <= fSPhi + twopi + halfAngTolerance)
                    && (pPhi >= fSPhi + fDPhi  - halfAngTolerance) )
             {
               in = kSurface ;
             }
             else
             {
               in = kInside ;
             }
           }
         }                    
       }
     }
     else  // Try generous boundaries
     {
       tolRMin = fRMin - halfRadTolerance ;
       tolRMax = fRMax + halfRadTolerance ;
 
       if ( tolRMin < 0 )  { tolRMin = 0; }
 
       if ( (r2 >= tolRMin*tolRMin) && (r2 <= tolRMax*tolRMax) )
       {
         if (fPhiFullTube || (r2 <=halfRadTolerance*halfRadTolerance) )
         {                        // Continuous in phi or on z-axis
           in = kSurface ;
         }
         else // Try outer tolerant phi boundaries only
         {
           pPhi = std::atan2(p.y(),p.x()) ;
 
           if ( pPhi < -halfAngTolerance)  { pPhi += twopi; } // 0<=pPhi<2pi
           if ( fSPhi >= 0 )
           {
             if ( (std::fabs(pPhi) < halfAngTolerance)
               && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
             { 
               pPhi += twopi ; // 0 <= pPhi < 2pi
             }
             if ( (pPhi >= fSPhi - halfAngTolerance)
               && (pPhi <= fSPhi + fDPhi + halfAngTolerance) )
             {
               in = kSurface ;
             }
           }
           else  // fSPhi < 0
           {
             if ( (pPhi <= fSPhi + twopi - halfAngTolerance)
               && (pPhi >= fSPhi + fDPhi + halfAngTolerance) ) {;} // kOutside
             else
             {
               in = kSurface ;
             }
           }
         }
       }
     }
   }
   else if (std::fabs(p.z()) <= fDz + halfCarTolerance)
   {                                          // Check within tolerant r limits
     r2      = p.x()*p.x() + p.y()*p.y() ;
     tolRMin = fRMin - halfRadTolerance ;
     tolRMax = fRMax + halfRadTolerance ;
 
     if ( tolRMin < 0 )  { tolRMin = 0; }
 
     if ( (r2 >= tolRMin*tolRMin) && (r2 <= tolRMax*tolRMax) )
     {
       if (fPhiFullTube || (r2 <=halfRadTolerance*halfRadTolerance))
       {                        // Continuous in phi or on z-axis
         in = kSurface ;
       }
       else // Try outer tolerant phi boundaries
       {
         pPhi = std::atan2(p.y(),p.x()) ;
 
         if ( pPhi < -halfAngTolerance )  { pPhi += twopi; }  // 0<=pPhi<2pi
         if ( fSPhi >= 0 )
         {
           if ( (std::fabs(pPhi) < halfAngTolerance)
             && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
           { 
             pPhi += twopi ; // 0 <= pPhi < 2pi
           }
           if ( (pPhi >= fSPhi - halfAngTolerance)
             && (pPhi <= fSPhi + fDPhi + halfAngTolerance) )
           {
             in = kSurface;
           }
         }
         else  // fSPhi < 0
         {
           if ( (pPhi <= fSPhi + twopi - halfAngTolerance)
             && (pPhi >= fSPhi + fDPhi  + halfAngTolerance) ) {;}
           else
           {
             in = kSurface ;
           }
         }      
       }
     }
   }
   return in;
 }

G4OTubs & G4OTubs::operator= ( const G4OTubs & rhs )

Definition at line 141 of file G4OTubs.cc.

References cosCPhi, cosEPhi, cosHDPhiIT, cosHDPhiOT, cosSPhi, fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, halfAngTolerance, halfCarTolerance, halfRadTolerance, kAngTolerance, kRadTolerance, G4CSGSolid::operator=(), sinCPhi, sinEPhi, and sinSPhi.

Referenced by G4CutTubs::operator=().

 {
    // Check assignment to self
    //
    if (this == &rhs)  { return *this; }
 
    // Copy base class data
    //
    G4CSGSolid::operator=(rhs);
 
    // Copy data
    //
    kRadTolerance = rhs.kRadTolerance; kAngTolerance = rhs.kAngTolerance;
    fRMin = rhs.fRMin; fRMax = rhs.fRMax; fDz = rhs.fDz;
    fSPhi = rhs.fSPhi; fDPhi = rhs.fDPhi;
    sinCPhi = rhs.sinCPhi; cosCPhi = rhs.sinCPhi;
    cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = rhs.cosHDPhiOT;
    sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPhi;
    sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPhi;
    fPhiFullTube = rhs.fPhiFullTube;
    halfCarTolerance = rhs.halfCarTolerance;
    halfRadTolerance = rhs.halfRadTolerance;
    halfAngTolerance = rhs.halfAngTolerance;
 
    return *this;
 }

void G4OTubs::SetDeltaPhiAngle ( G4double newDPhi )

inline

void G4OTubs::SetInnerRadius ( G4double newRMin )

inline

void G4OTubs::SetOuterRadius ( G4double newRMax )

inline

void G4OTubs::SetStartPhiAngle	(	G4double	newSPhi,
		G4bool	trig = `true`
	)

inline

void G4OTubs::SetZHalfLength ( G4double newDz )

inline

std::ostream & G4OTubs::StreamInfo ( std::ostream & os ) const

virtual

Reimplemented from G4CSGSolid.

Definition at line 1785 of file G4OTubs.cc.

References python.hepunit::degree, fDPhi, fDz, fRMax, fRMin, fSPhi, G4VSolid::GetName(), and python.hepunit::mm.

 {
   G4int oldprc = os.precision(16);
   os << "-----------------------------------------------------------\n"
      << "    *** Dump for solid - " << GetName() << " ***\n"
      << "    ===================================================\n"
      << " Solid type: G4Tubs\n"
      << " Parameters: \n"
      << "    inner radius : " << fRMin/mm << " mm \n"
      << "    outer radius : " << fRMax/mm << " mm \n"
      << "    half length Z: " << fDz/mm << " mm \n"
      << "    starting phi : " << fSPhi/degree << " degrees \n"
      << "    delta phi    : " << fDPhi/degree << " degrees \n"
      << "-----------------------------------------------------------\n";
   os.precision(oldprc);
 
   return os;
 }

G4ThreeVector G4OTubs::SurfaceNormal ( const G4ThreeVector & p ) const

virtual

Implements G4VSolid.

Definition at line 553 of file G4OTubs.cc.

References ApproxSurfaceNormal(), fDPhi, fDz, fPhiFullTube, fRMax, fRMin, fSPhi, G4cout, G4endl, G4Exception(), halfAngTolerance, halfCarTolerance, JustWarning, python.hepunit::twopi, CLHEP::Hep3Vector::unit(), CLHEP::Hep3Vector::x(), CLHEP::Hep3Vector::y(), and CLHEP::Hep3Vector::z().

 {
   G4int noSurfaces = 0;
   G4double rho, pPhi;
   G4double distZ, distRMin, distRMax;
   G4double distSPhi = kInfinity, distEPhi = kInfinity;
 
   G4ThreeVector norm, sumnorm(0.,0.,0.);
   G4ThreeVector nZ = G4ThreeVector(0, 0, 1.0);
   G4ThreeVector nR, nPs, nPe;
 
   rho = std::sqrt(p.x()*p.x() + p.y()*p.y());
 
   distRMin = std::fabs(rho - fRMin);
   distRMax = std::fabs(rho - fRMax);
   distZ    = std::fabs(std::fabs(p.z()) - fDz);
 
   if (!fPhiFullTube)    // Protected against (0,0,z) 
   {
     if ( rho > halfCarTolerance )
     {
       pPhi = std::atan2(p.y(),p.x());
     
       if(pPhi  < fSPhi- halfCarTolerance)           { pPhi += twopi; }
       else if(pPhi > fSPhi+fDPhi+ halfCarTolerance) { pPhi -= twopi; }
 
       distSPhi = std::fabs(pPhi - fSPhi);       
       distEPhi = std::fabs(pPhi - fSPhi - fDPhi); 
     }
     else if( !fRMin )
     {
       distSPhi = 0.; 
       distEPhi = 0.; 
     }
     nPs = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
     nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
   }
   if ( rho > halfCarTolerance ) { nR = G4ThreeVector(p.x()/rho,p.y()/rho,0); }
 
   if( distRMax <= halfCarTolerance )
   {
     noSurfaces ++;
     sumnorm += nR;
   }
   if( fRMin && (distRMin <= halfCarTolerance) )
   {
     noSurfaces ++;
     sumnorm -= nR;
   }
   if( fDPhi < twopi )   
   {
     if (distSPhi <= halfAngTolerance)  
     {
       noSurfaces ++;
       sumnorm += nPs;
     }
     if (distEPhi <= halfAngTolerance)  
     {
       noSurfaces ++;
       sumnorm += nPe;
     }
   }
   if (distZ <= halfCarTolerance)  
   {
     noSurfaces ++;
     if ( p.z() >= 0.)  { sumnorm += nZ; }
     else               { sumnorm -= nZ; }
   }
   if ( noSurfaces == 0 )
   {
 #ifdef G4CSGDEBUG
     G4Exception("G4Tubs::SurfaceNormal(p)", "GeomSolids1002",
                 JustWarning, "Point p is not on surface !?" );
     G4int oldprc = G4cout.precision(20);
     G4cout<< "G4Tubs::SN ( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "
           << G4endl << G4endl;
     G4cout.precision(oldprc) ;
 #endif 
      norm = ApproxSurfaceNormal(p);
   }
   else if ( noSurfaces == 1 )  { norm = sumnorm; }
   else                         { norm = sumnorm.unit(); }
 
   return norm;
 }