G4Tubs Class Reference

#include <G4Tubs.hh>

Inheritance diagram for G4Tubs:

Public Member Functions
	G4Tubs (const G4String &pName, G4double pRMin, G4double pRMax, G4double pDz, G4double pSPhi, G4double pDPhi)
	~G4Tubs () override
G4double	GetInnerRadius () const
G4double	GetOuterRadius () const
G4double	GetZHalfLength () const
G4double	GetStartPhiAngle () const
G4double	GetDeltaPhiAngle () const
G4double	GetSinStartPhi () const
G4double	GetCosStartPhi () const
G4double	GetSinEndPhi () const
G4double	GetCosEndPhi () 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 () override
G4double	GetSurfaceArea () override
void	ComputeDimensions (G4VPVParameterisation *p, const G4int n, const G4VPhysicalVolume *pRep) override
void	BoundingLimits (G4ThreeVector &pMin, G4ThreeVector &pMax) const override
G4bool	CalculateExtent (const EAxis pAxis, const G4VoxelLimits &pVoxelLimit, const G4AffineTransform &pTransform, G4double &pmin, G4double &pmax) const override
EInside	Inside (const G4ThreeVector &p) const override
G4ThreeVector	SurfaceNormal (const G4ThreeVector &p) const override
G4double	DistanceToIn (const G4ThreeVector &p, const G4ThreeVector &v) const override
G4double	DistanceToIn (const G4ThreeVector &p) const override
G4double	DistanceToOut (const G4ThreeVector &p, const G4ThreeVector &v, const G4bool calcNorm=false, G4bool *validNorm=nullptr, G4ThreeVector *n=nullptr) const override
G4double	DistanceToOut (const G4ThreeVector &p) const override
G4GeometryType	GetEntityType () const override
G4ThreeVector	GetPointOnSurface () const override
G4VSolid *	Clone () const override
std::ostream &	StreamInfo (std::ostream &os) const override
void	DescribeYourselfTo (G4VGraphicsScene &scene) const override
G4Polyhedron *	CreatePolyhedron () const override
	G4Tubs (__void__ &)
	G4Tubs (const G4Tubs &rhs)
G4Tubs &	operator= (const G4Tubs &rhs)
Public Member Functions inherited from G4CSGSolid
	G4CSGSolid (const G4String &pName)
virtual	~G4CSGSolid ()
G4Polyhedron *	GetPolyhedron () const override
	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
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)
G4double	EstimateCubicVolume (G4int nStat, G4double epsilon) const
G4double	EstimateSurfaceArea (G4int nStat, G4double ell) const

Protected Types
enum	ESide {   kNull , kRMin , kRMax , kSPhi ,   kEPhi , kPZ , kMZ }
enum	ENorm {   kNRMin , kNRMax , kNSPhi , kNEPhi ,   kNZ }

Protected Member Functions
void	Initialize ()
void	CheckSPhiAngle (G4double sPhi)
void	CheckDPhiAngle (G4double dPhi)
void	CheckPhiAngles (G4double sPhi, G4double dPhi)
void	InitializeTrigonometry ()
G4double	FastInverseRxy (const G4ThreeVector &pos, G4double invRad, G4double normalTolerance) const
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

Protected Attributes
G4double	kRadTolerance
G4double	kAngTolerance
G4double	fRMin
G4double	fRMax
G4double	fDz
G4double	fSPhi
G4double	fDPhi
G4double	sinCPhi
G4double	cosCPhi
G4double	cosHDPhi
G4double	cosHDPhiOT
G4double	cosHDPhiIT
G4double	sinSPhi
G4double	cosSPhi
G4double	sinEPhi
G4double	cosEPhi
G4bool	fPhiFullTube
G4double	fInvRmax
G4double	fInvRmin
G4double	halfCarTolerance
G4double	halfRadTolerance
G4double	halfAngTolerance
Protected Attributes inherited from G4CSGSolid
G4double	fCubicVolume = 0.0
G4double	fSurfaceArea = 0.0
G4bool	fRebuildPolyhedron = false
G4Polyhedron *	fpPolyhedron = nullptr
Protected Attributes inherited from G4VSolid
G4double	kCarTolerance

Static Protected Attributes
static constexpr G4double	kNormTolerance = 1.0e-6

Detailed Description

Definition at line 74 of file G4Tubs.hh.

Member Enumeration Documentation

ENorm

enum G4Tubs::ENorm

protected

Enumerator
kNRMin
kNRMax
kNSPhi
kNEPhi
kNZ

Definition at line 199 of file G4Tubs.hh.

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

ESide

enum G4Tubs::ESide

protected

Enumerator
kNull
kRMin
kRMax
kSPhi
kEPhi
kPZ
kMZ

Definition at line 195 of file G4Tubs.hh.

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

Constructor & Destructor Documentation

G4Tubs() [1/3]

G4Tubs::G4Tubs	(	const G4String &	pName,
		G4double	pRMin,
		G4double	pRMax,
		G4double	pDz,
		G4double	pSPhi,
		G4double	pDPhi )

Definition at line 58 of file G4Tubs.cc.

   : G4CSGSolid(pName), fRMin(pRMin), fRMax(pRMax), fDz(pDz),
     fSPhi(0), fDPhi(0),
     fInvRmax( pRMax > 0.0 ? 1.0/pRMax : 0.0 ),
     fInvRmin( pRMin > 0.0 ? 1.0/pRMin : 0.0 )
{
  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);
}

Referenced by Clone().

~G4Tubs()

G4Tubs::~G4Tubs ( )

overridedefault

G4Tubs() [2/3]

G4Tubs::G4Tubs

(

__void__ &

a

)

Definition at line 99 of file G4Tubs.cc.

  : G4CSGSolid(a)
{
}

G4Tubs() [3/3]

G4Tubs::G4Tubs ( const G4Tubs & rhs )

default

Member Function Documentation

ApproxSurfaceNormal()

G4ThreeVector G4Tubs::ApproxSurfaceNormal ( const G4ThreeVector & p ) const

protectedvirtual

Definition at line 576 of file G4Tubs.cc.

{
  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 != 0.0) ) // 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(sinSPhi, -cosSPhi, 0) ;
      break ;
    }
    case kNEPhi:
    {
      norm = G4ThreeVector(-sinEPhi, cosEPhi, 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;
}

Referenced by SurfaceNormal().

BoundingLimits()

void G4Tubs::BoundingLimits ( G4ThreeVector & pMin, G4ThreeVector & pMax ) const

overridevirtual

Reimplemented from G4VSolid.

Definition at line 165 of file G4Tubs.cc.

{
  G4double rmin = GetInnerRadius();
  G4double rmax = GetOuterRadius();
  G4double dz   = GetZHalfLength();
 
  // Find bounding box
  //
  if (GetDeltaPhiAngle() < twopi)
  {
    G4TwoVector vmin,vmax;
    G4GeomTools::DiskExtent(rmin,rmax,
                            GetSinStartPhi(),GetCosStartPhi(),
                            GetSinEndPhi(),GetCosEndPhi(),
                            vmin,vmax);
    pMin.set(vmin.x(),vmin.y(),-dz);
    pMax.set(vmax.x(),vmax.y(), dz);
  }
  else
  {
    pMin.set(-rmax,-rmax,-dz);
    pMax.set( rmax, rmax, dz);
  }
 
  // Check correctness of the bounding box
  //
  if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
  {
    std::ostringstream message;
    message << "Bad bounding box (min >= max) for solid: "
            << GetName() << " !"
            << "\npMin = " << pMin
            << "\npMax = " << pMax;
    G4Exception("G4Tubs::BoundingLimits()", "GeomMgt0001",
                JustWarning, message);
    DumpInfo();
  }
}

Referenced by CalculateExtent().

CalculateExtent()

G4bool G4Tubs::CalculateExtent ( const EAxis pAxis, const G4VoxelLimits & pVoxelLimit, const G4AffineTransform & pTransform, G4double & pmin, G4double & pmax ) const

overridevirtual

Implements G4VSolid.

Definition at line 208 of file G4Tubs.cc.

{
  G4ThreeVector bmin, bmax;
  G4bool exist;
 
  // Get bounding box
  BoundingLimits(bmin,bmax);
 
  // Check bounding box
  G4BoundingEnvelope bbox(bmin,bmax);
#ifdef G4BBOX_EXTENT
  return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
#endif
  if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
  {
    return exist = pMin < pMax;
  }
 
  // Get parameters of the solid
  G4double rmin = GetInnerRadius();
  G4double rmax = GetOuterRadius();
  G4double dz   = GetZHalfLength();
  G4double dphi = GetDeltaPhiAngle();
 
  // Find bounding envelope and calculate extent
  //
  const G4int NSTEPS = 24;            // number of steps for whole circle
  G4double astep  = twopi/NSTEPS;     // max angle for one step
  G4int    ksteps = (dphi <= astep) ? 1 : (G4int)((dphi-deg)/astep) + 1;
  G4double ang    = dphi/ksteps;
 
  G4double sinHalf = std::sin(0.5*ang);
  G4double cosHalf = std::cos(0.5*ang);
  G4double sinStep = 2.*sinHalf*cosHalf;
  G4double cosStep = 1. - 2.*sinHalf*sinHalf;
  G4double rext    = rmax/cosHalf;
 
  // bounding envelope for full cylinder consists of two polygons,
  // in other cases it is a sequence of quadrilaterals
  if (rmin == 0 && dphi == twopi)
  {
    G4double sinCur = sinHalf;
    G4double cosCur = cosHalf;
 
    G4ThreeVectorList baseA(NSTEPS),baseB(NSTEPS);
    for (G4int k=0; k<NSTEPS; ++k)
    {
      baseA[k].set(rext*cosCur,rext*sinCur,-dz);
      baseB[k].set(rext*cosCur,rext*sinCur, dz);
 
      G4double sinTmp = sinCur;
      sinCur = sinCur*cosStep + cosCur*sinStep;
      cosCur = cosCur*cosStep - sinTmp*sinStep;
    }
    std::vector<const G4ThreeVectorList *> polygons(2);
    polygons[0] = &baseA;
    polygons[1] = &baseB;
    G4BoundingEnvelope benv(bmin,bmax,polygons);
    exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
  }
  else
  {
    G4double sinStart = GetSinStartPhi();
    G4double cosStart = GetCosStartPhi();
    G4double sinEnd   = GetSinEndPhi();
    G4double cosEnd   = GetCosEndPhi();
    G4double sinCur   = sinStart*cosHalf + cosStart*sinHalf;
    G4double cosCur   = cosStart*cosHalf - sinStart*sinHalf;
 
    // set quadrilaterals
    G4ThreeVectorList pols[NSTEPS+2];
    for (G4int k=0; k<ksteps+2; ++k) pols[k].resize(4);
    pols[0][0].set(rmin*cosStart,rmin*sinStart, dz);
    pols[0][1].set(rmin*cosStart,rmin*sinStart,-dz);
    pols[0][2].set(rmax*cosStart,rmax*sinStart,-dz);
    pols[0][3].set(rmax*cosStart,rmax*sinStart, dz);
    for (G4int k=1; k<ksteps+1; ++k)
    {
      pols[k][0].set(rmin*cosCur,rmin*sinCur, dz);
      pols[k][1].set(rmin*cosCur,rmin*sinCur,-dz);
      pols[k][2].set(rext*cosCur,rext*sinCur,-dz);
      pols[k][3].set(rext*cosCur,rext*sinCur, dz);
 
      G4double sinTmp = sinCur;
      sinCur = sinCur*cosStep + cosCur*sinStep;
      cosCur = cosCur*cosStep - sinTmp*sinStep;
    }
    pols[ksteps+1][0].set(rmin*cosEnd,rmin*sinEnd, dz);
    pols[ksteps+1][1].set(rmin*cosEnd,rmin*sinEnd,-dz);
    pols[ksteps+1][2].set(rmax*cosEnd,rmax*sinEnd,-dz);
    pols[ksteps+1][3].set(rmax*cosEnd,rmax*sinEnd, dz);
 
    // set envelope and calculate extent
    std::vector<const G4ThreeVectorList *> polygons;
    polygons.resize(ksteps+2);
    for (G4int k=0; k<ksteps+2; ++k) polygons[k] = &pols[k];
    G4BoundingEnvelope benv(bmin,bmax,polygons);
    exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
  }
  return exist;
}

CheckDPhiAngle()

void G4Tubs::CheckDPhiAngle ( G4double dPhi )

inlineprotected

CheckPhiAngles()

void G4Tubs::CheckPhiAngles ( G4double sPhi, G4double dPhi )

inlineprotected

Referenced by G4Tubs().

CheckSPhiAngle()

void G4Tubs::CheckSPhiAngle ( G4double sPhi )

inlineprotected

Clone()

G4VSolid * G4Tubs::Clone ( ) const

overridevirtual

Reimplemented from G4VSolid.

Definition at line 1619 of file G4Tubs.cc.

{
  return new G4Tubs(*this);
}

ComputeDimensions()

void G4Tubs::ComputeDimensions ( G4VPVParameterisation * p, const G4int n, const G4VPhysicalVolume * pRep )

overridevirtual

Reimplemented from G4VSolid.

Definition at line 154 of file G4Tubs.cc.

{
  p->ComputeDimensions(*this,n,pRep) ;
}

CreatePolyhedron()

G4Polyhedron * G4Tubs::CreatePolyhedron ( ) const

overridevirtual

Reimplemented from G4VSolid.

Definition at line 1737 of file G4Tubs.cc.

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

Referenced by G4GMocrenFileSceneHandler::AddSolid(), and G4ArrowModel::G4ArrowModel().

DescribeYourselfTo()

void G4Tubs::DescribeYourselfTo ( G4VGraphicsScene & scene ) const

overridevirtual

Implements G4VSolid.

Definition at line 1732 of file G4Tubs.cc.

{
  scene.AddSolid (*this) ;
}

DistanceToIn() [1/2]

G4double G4Tubs::DistanceToIn ( const G4ThreeVector & p ) const

overridevirtual

Implements G4VSolid.

Definition at line 1084 of file G4Tubs.cc.

{
  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) != 0.0) )
  {
    // Psi=angle from central phi to point
    //
    cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/rho ;
 
    if ( cosPsi < cosHDPhi )
    {
      // 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 ;
}

DistanceToIn() [2/2]

G4double G4Tubs::DistanceToIn ( const G4ThreeVector & p, const G4ThreeVector & v ) const

overridevirtual

Implements G4VSolid.

Definition at line 708 of file G4Tubs.cc.

{
  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 != 0.0))
        {
          // 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 != 0.0 )    // 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)*fInvRmin;
              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 ;
}

Referenced by DistanceToIn().

DistanceToOut() [1/2]

G4double G4Tubs::DistanceToOut ( const G4ThreeVector & p ) const

overridevirtual

Implements G4VSolid.

Definition at line 1550 of file G4Tubs.cc.

{
  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 )
  {
    G4long 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 != 0.0 )
  {
    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 ;
}

DistanceToOut() [2/2]

G4double G4Tubs::DistanceToOut ( const G4ThreeVector & p, const G4ThreeVector & v, const G4bool calcNorm = false, G4bool * validNorm = nullptr, G4ThreeVector * n = nullptr ) const

overridevirtual

Implements G4VSolid.

Definition at line 1128 of file G4Tubs.cc.

{
  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 )
        {
          G4double invRho = FastInverseRxy( p, fInvRmax, kNormTolerance );
          *n         = G4ThreeVector(p.x()*invRho,p.y()*invRho,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 != 0.0) && (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)
            {
              G4double invRho = FastInverseRxy( p, fInvRmax, kNormTolerance );
              *n = G4ThreeVector(p.x()*invRho,p.y()*invRho,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)
          {
            G4double invRho = FastInverseRxy( p, fInvRmax, kNormTolerance );
            *n = G4ThreeVector(p.x()*invRho,p.y()*invRho,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() != 0.0) || (p.y() != 0.0) )  // 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;
        G4long 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 ;
}

FastInverseRxy()

G4double G4Tubs::FastInverseRxy ( const G4ThreeVector & pos, G4double invRad, G4double normalTolerance ) const

inlineprotected

Referenced by DistanceToOut().

GetCosEndPhi()

G4double G4Tubs::GetCosEndPhi ( ) const

inline

Referenced by BoundingLimits(), and CalculateExtent().

GetCosStartPhi()

G4double G4Tubs::GetCosStartPhi ( ) const

inline

Referenced by BoundingLimits(), and CalculateExtent().

GetCubicVolume()

G4double G4Tubs::GetCubicVolume ( )

inlineoverridevirtual

Reimplemented from G4VSolid.

GetDeltaPhiAngle()

G4double G4Tubs::GetDeltaPhiAngle ( ) const

inline

Referenced by G4HepRepFileSceneHandler::AddSolid(), BoundingLimits(), G4tgbVolume::BuildSolidForDivision(), CalculateExtent(), G4tgbGeometryDumper::GetSolidParams(), G4GDMLWriteParamvol::Tube_dimensionsWrite(), and G4GDMLWriteSolids::TubeWrite().

GetEntityType()

G4GeometryType G4Tubs::GetEntityType ( ) const

overridevirtual

Implements G4VSolid.

Definition at line 1610 of file G4Tubs.cc.

{
  return {"G4Tubs"};
}

GetInnerRadius()

G4double G4Tubs::GetInnerRadius ( ) const

inline

Referenced by G4HepRepFileSceneHandler::AddSolid(), BoundingLimits(), G4tgbVolume::BuildSolidForDivision(), CalculateExtent(), G4tgbGeometryDumper::GetSolidParams(), G4PSCylinderSurfaceCurrent::IsSelectedSurface(), G4PSCylinderSurfaceFlux::IsSelectedSurface(), G4GDMLWriteParamvol::Tube_dimensionsWrite(), and G4GDMLWriteSolids::TubeWrite().

GetOuterRadius()

G4double G4Tubs::GetOuterRadius ( ) const

inline

Referenced by G4HepRepFileSceneHandler::AddSolid(), BoundingLimits(), G4tgbVolume::BuildSolidForDivision(), CalculateExtent(), G4tgbGeometryDumper::GetSolidParams(), G4GDMLWriteParamvol::Tube_dimensionsWrite(), and G4GDMLWriteSolids::TubeWrite().

GetPointOnSurface()

G4ThreeVector G4Tubs::GetPointOnSurface ( ) const

overridevirtual

Reimplemented from G4VSolid.

Definition at line 1651 of file G4Tubs.cc.

{
  G4double Rmax = fRMax;
  G4double Rmin = fRMin;
  G4double hz = 2.*fDz;       // height
  G4double lext = fDPhi*Rmax; // length of external circular arc
  G4double lint = fDPhi*Rmin; // length of internal circular arc
 
  // Set array of surface areas
  //
  G4double RRmax = Rmax * Rmax;
  G4double RRmin = Rmin * Rmin;
  G4double sbase = 0.5*fDPhi*(RRmax - RRmin);
  G4double scut = (fDPhi == twopi) ? 0. : hz*(Rmax - Rmin);
  G4double ssurf[6] = { scut, scut, sbase, sbase, hz*lext, hz*lint };
  ssurf[1] += ssurf[0];
  ssurf[2] += ssurf[1];
  ssurf[3] += ssurf[2];
  ssurf[4] += ssurf[3];
  ssurf[5] += ssurf[4];
 
  // Select surface
  //
  G4double select = ssurf[5]*G4QuickRand();
  G4int k = 5;
  k -= (G4int)(select <= ssurf[4]);
  k -= (G4int)(select <= ssurf[3]);
  k -= (G4int)(select <= ssurf[2]);
  k -= (G4int)(select <= ssurf[1]);
  k -= (G4int)(select <= ssurf[0]);
 
  // Generate point on selected surface
  //
  switch(k)
  {
    case 0: // start phi cut
    {
      G4double r = Rmin + (Rmax - Rmin)*G4QuickRand();
      return { r*cosSPhi, r*sinSPhi, hz*G4QuickRand() - fDz };
    }
    case 1: // end phi cut
    {
      G4double r = Rmin + (Rmax - Rmin)*G4QuickRand();
      return { r*cosEPhi, r*sinEPhi, hz*G4QuickRand() - fDz };
    }
    case 2: // base at -dz
    {
      G4double r = std::sqrt(RRmin + (RRmax - RRmin)*G4QuickRand());
      G4double phi = fSPhi + fDPhi*G4QuickRand();
      return { r*std::cos(phi), r*std::sin(phi), -fDz };
    }
    case 3: // base at +dz
    {
      G4double r = std::sqrt(RRmin + (RRmax - RRmin)*G4QuickRand());
      G4double phi = fSPhi + fDPhi*G4QuickRand();
      return { r*std::cos(phi), r*std::sin(phi), fDz };
    }
    case 4: // external lateral surface
    {
      G4double phi = fSPhi + fDPhi*G4QuickRand();
      G4double z = hz*G4QuickRand() - fDz;
      G4double x = Rmax*std::cos(phi);
      G4double y = Rmax*std::sin(phi);
      return { x,y,z };
    }
    case 5: // internal lateral surface
    {
      G4double phi = fSPhi + fDPhi*G4QuickRand();
      G4double z = hz*G4QuickRand() - fDz;
      G4double x = Rmin*std::cos(phi);
      G4double y = Rmin*std::sin(phi);
      return { x,y,z };
    }
  }
  return {0., 0., 0.};
}

GetSinEndPhi()

G4double G4Tubs::GetSinEndPhi ( ) const

inline

Referenced by BoundingLimits(), and CalculateExtent().

GetSinStartPhi()

G4double G4Tubs::GetSinStartPhi ( ) const

inline

Referenced by BoundingLimits(), and CalculateExtent().

GetStartPhiAngle()

G4double G4Tubs::GetStartPhiAngle ( ) const

inline

Referenced by G4tgbVolume::BuildSolidForDivision(), G4tgbGeometryDumper::GetSolidParams(), G4GDMLWriteParamvol::Tube_dimensionsWrite(), and G4GDMLWriteSolids::TubeWrite().

GetSurfaceArea()

G4double G4Tubs::GetSurfaceArea ( )

inlineoverridevirtual

Reimplemented from G4VSolid.

GetZHalfLength()

G4double G4Tubs::GetZHalfLength ( ) const

inline

Referenced by G4HepRepFileSceneHandler::AddSolid(), BoundingLimits(), G4tgbVolume::BuildSolidForDivision(), CalculateExtent(), G4tgbGeometryDumper::GetSolidParams(), G4PSCylinderSurfaceCurrent::IsSelectedSurface(), G4PSCylinderSurfaceFlux::IsSelectedSurface(), G4GDMLWriteParamvol::Tube_dimensionsWrite(), and G4GDMLWriteSolids::TubeWrite().

Initialize()

void G4Tubs::Initialize ( )

inlineprotected

InitializeTrigonometry()

void G4Tubs::InitializeTrigonometry ( )

inlineprotected

Inside()

EInside G4Tubs::Inside ( const G4ThreeVector & p ) const

overridevirtual

Implements G4VSolid.

Definition at line 318 of file G4Tubs.cc.

{
  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 != 0.0) { 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;
}

Referenced by DistanceToOut().

operator=()

G4Tubs & G4Tubs::operator=

(

const G4Tubs &

rhs

)

Definition at line 120 of file G4Tubs.cc.

{
   // 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.cosCPhi; cosHDPhi = rhs.cosHDPhi;
   cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = rhs.cosHDPhiIT;
   sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPhi;
   sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPhi;
   fPhiFullTube = rhs.fPhiFullTube;
   fInvRmax = rhs.fInvRmax;
   fInvRmin = rhs.fInvRmin;
   halfCarTolerance = rhs.halfCarTolerance;
   halfRadTolerance = rhs.halfRadTolerance;
   halfAngTolerance = rhs.halfAngTolerance;
 
   return *this;
}

SetDeltaPhiAngle()

void G4Tubs::SetDeltaPhiAngle ( G4double newDPhi )

inline

Referenced by G4ParameterisationTubsPhi::ComputeDimensions(), G4ParameterisationTubsRho::ComputeDimensions(), and G4ParameterisationTubsZ::ComputeDimensions().

SetInnerRadius()

void G4Tubs::SetInnerRadius ( G4double newRMin )

inline

Referenced by G4ParameterisationTubsPhi::ComputeDimensions(), G4ParameterisationTubsRho::ComputeDimensions(), and G4ParameterisationTubsZ::ComputeDimensions().

SetOuterRadius()

void G4Tubs::SetOuterRadius ( G4double newRMax )

inline

Referenced by G4ParameterisationTubsPhi::ComputeDimensions(), G4ParameterisationTubsRho::ComputeDimensions(), and G4ParameterisationTubsZ::ComputeDimensions().

SetStartPhiAngle()

void G4Tubs::SetStartPhiAngle ( G4double newSPhi, G4bool trig = true )

inline

Referenced by G4ParameterisationTubsPhi::ComputeDimensions(), G4ParameterisationTubsRho::ComputeDimensions(), and G4ParameterisationTubsZ::ComputeDimensions().

SetZHalfLength()

void G4Tubs::SetZHalfLength ( G4double newDz )

inline

Referenced by G4ParameterisationTubsPhi::ComputeDimensions(), G4ParameterisationTubsRho::ComputeDimensions(), and G4ParameterisationTubsZ::ComputeDimensions().

StreamInfo()

std::ostream & G4Tubs::StreamInfo ( std::ostream & os ) const

overridevirtual

Reimplemented from G4CSGSolid.

Definition at line 1628 of file G4Tubs.cc.

{
  G4long 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;
}

SurfaceNormal()

G4ThreeVector G4Tubs::SurfaceNormal ( const G4ThreeVector & p ) const

overridevirtual

Implements G4VSolid.

Definition at line 485 of file G4Tubs.cc.

{
  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 == 0.0 )
    {
      distSPhi = 0.;
      distEPhi = 0.;
    }
    nPs = G4ThreeVector( sinSPhi, -cosSPhi, 0 );
    nPe = G4ThreeVector( -sinEPhi, cosEPhi, 0 );
  }
  if ( rho > halfCarTolerance ) { nR = G4ThreeVector(p.x()/rho,p.y()/rho,0); }
 
  if( distRMax <= halfCarTolerance )
  {
    ++noSurfaces;
    sumnorm += nR;
  }
  if( (fRMin != 0.0) && (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 !?" );
    G4long 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;
}

Member Data Documentation

cosCPhi

G4double G4Tubs::cosCPhi

protected

Definition at line 214 of file G4Tubs.hh.

Referenced by DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), and operator=().

cosEPhi

G4double G4Tubs::cosEPhi

protected

Definition at line 215 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), operator=(), and SurfaceNormal().

cosHDPhi

G4double G4Tubs::cosHDPhi

protected

Definition at line 214 of file G4Tubs.hh.

Referenced by DistanceToIn(), and operator=().

cosHDPhiIT

G4double G4Tubs::cosHDPhiIT

protected

Definition at line 214 of file G4Tubs.hh.

Referenced by DistanceToIn(), and operator=().

cosHDPhiOT

G4double G4Tubs::cosHDPhiOT

protected

Definition at line 214 of file G4Tubs.hh.

Referenced by operator=().

cosSPhi

G4double G4Tubs::cosSPhi

protected

Definition at line 215 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), operator=(), and SurfaceNormal().

fDPhi

G4double G4Tubs::fDPhi

protected

Definition at line 210 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), CreatePolyhedron(), DistanceToOut(), GetPointOnSurface(), Inside(), operator=(), StreamInfo(), and SurfaceNormal().

fDz

G4double G4Tubs::fDz

protected

Definition at line 210 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), CreatePolyhedron(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), Inside(), operator=(), StreamInfo(), and SurfaceNormal().

fInvRmax

G4double G4Tubs::fInvRmax

protected

Definition at line 223 of file G4Tubs.hh.

Referenced by DistanceToOut(), and operator=().

fInvRmin

G4double G4Tubs::fInvRmin

protected

Definition at line 223 of file G4Tubs.hh.

Referenced by DistanceToIn(), and operator=().

fPhiFullTube

G4bool G4Tubs::fPhiFullTube

protected

Definition at line 219 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), Inside(), operator=(), and SurfaceNormal().

fRMax

G4double G4Tubs::fRMax

protected

Definition at line 210 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), CreatePolyhedron(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), Inside(), operator=(), StreamInfo(), and SurfaceNormal().

fRMin

G4double G4Tubs::fRMin

protected

Definition at line 210 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), CreatePolyhedron(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), Inside(), operator=(), StreamInfo(), and SurfaceNormal().

fSPhi

G4double G4Tubs::fSPhi

protected

Definition at line 210 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), CreatePolyhedron(), DistanceToOut(), GetPointOnSurface(), Inside(), operator=(), StreamInfo(), and SurfaceNormal().

halfAngTolerance

G4double G4Tubs::halfAngTolerance

protected

Definition at line 227 of file G4Tubs.hh.

Referenced by DistanceToOut(), G4Tubs(), Inside(), operator=(), and SurfaceNormal().

halfCarTolerance

G4double G4Tubs::halfCarTolerance

protected

Definition at line 227 of file G4Tubs.hh.

Referenced by DistanceToIn(), DistanceToOut(), G4Tubs(), Inside(), operator=(), and SurfaceNormal().

halfRadTolerance

G4double G4Tubs::halfRadTolerance

protected

Definition at line 227 of file G4Tubs.hh.

Referenced by DistanceToIn(), G4Tubs(), Inside(), and operator=().

kAngTolerance

G4double G4Tubs::kAngTolerance

protected

Definition at line 201 of file G4Tubs.hh.

Referenced by G4Tubs(), and operator=().

kNormTolerance

G4double G4Tubs::kNormTolerance = 1.0e-6

staticconstexprprotected

Definition at line 205 of file G4Tubs.hh.

Referenced by DistanceToOut().

kRadTolerance

G4double G4Tubs::kRadTolerance

protected

Definition at line 201 of file G4Tubs.hh.

Referenced by DistanceToIn(), DistanceToOut(), G4Tubs(), and operator=().

sinCPhi

G4double G4Tubs::sinCPhi

protected

Definition at line 214 of file G4Tubs.hh.

Referenced by DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), and operator=().

sinEPhi

G4double G4Tubs::sinEPhi

protected

Definition at line 215 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), operator=(), and SurfaceNormal().

sinSPhi

G4double G4Tubs::sinSPhi

protected

Definition at line 215 of file G4Tubs.hh.

Referenced by ApproxSurfaceNormal(), DistanceToIn(), DistanceToIn(), DistanceToOut(), DistanceToOut(), GetPointOnSurface(), operator=(), and SurfaceNormal().

---

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

• G4Tubs.hh
• G4Tubs.cc