G4OTubs Class Reference

#include <G4OTubs.hh>

Inheritance diagram for G4OTubs:

Collaboration 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
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 ()
G4double	GetSurfaceArea ()
void	Extent (G4ThreeVector &pMin, G4ThreeVector &pMax) const
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)
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 ()
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	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
G4bool	fRebuildPolyhedron
G4Polyhedron *	fpPolyhedron
Protected Attributes inherited from G4VSolid
G4double	kCarTolerance

Detailed Description

Definition at line 49 of file G4OTubs.hh.

Member Enumeration Documentation

enum G4OTubs::ENorm

protected

Enumerator
kNRMin
kNRMax
kNSPhi
kNEPhi
kNZ

Definition at line 171 of file G4OTubs.hh.

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

enum G4OTubs::ESide

protected

Enumerator
kNull
kRMin
kRMax
kSPhi
kEPhi
kPZ
kMZ

Definition at line 167 of file G4OTubs.hh.

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

Constructor & Destructor Documentation

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

Definition at line 59 of file G4OTubs.cc.

  : 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);
}

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G4OTubs::~G4OTubs ( )

virtual

Definition at line 113 of file G4OTubs.cc.

{
}

G4OTubs::G4OTubs

(

__void__ &

a

)

Definition at line 98 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 121 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.cosCPhi),
    cosHDPhiOT(rhs.cosHDPhiOT), cosHDPhiIT(rhs.cosHDPhiIT),
    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 581 of file G4OTubs.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 ) // 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;
}

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

virtual

Implements G4VSolid.

Definition at line 213 of file G4OTubs.cc.

{
  G4ThreeVector bmin, bmax;
  G4bool exist;

  // Get bounding box
  Extent(bmin,bmax);

  // Check bounding box
  G4BoundingEnvelope bbox(bmin,bmax);
#ifdef G4BBOX_EXTENT
  if (true) return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
#endif
  if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
  {
    return exist = (pMin < pMax) ? true : false;
  }

  // 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  = (360/NSTEPS)*deg; // 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;
}

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void G4OTubs::CheckDPhiAngle ( G4double  dPhi )

inlineprotected

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

inlineprotected

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void G4OTubs::CheckSPhiAngle ( G4double  sPhi )

inlineprotected

G4VSolid * G4OTubs::Clone ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1621 of file G4OTubs.cc.

{
  return new G4OTubs(*this);
}

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G4Polyhedron * G4OTubs::CreatePolyhedron ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1728 of file G4OTubs.cc.

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

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void G4OTubs::DescribeYourselfTo ( G4VGraphicsScene &  scene ) const

virtual

Implements G4VSolid.

Definition at line 1723 of file G4OTubs.cc.

{
  scene.AddSolid (*this) ;
}

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

virtual

Implements G4VSolid.

Definition at line 713 of file G4OTubs.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)
        {
          // 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 ;
}

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

virtual

Implements G4VSolid.

Definition at line 1089 of file G4OTubs.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) )
  {
    // 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 ;
}

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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 1133 of file G4OTubs.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 ) 
        {
          *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 ;
}

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

virtual

Implements G4VSolid.

Definition at line 1552 of file G4OTubs.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 )
  {
    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 ;  
}

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void G4OTubs::Extent ( G4ThreeVector &  pMin, G4ThreeVector &  pMax  ) const

virtual

Reimplemented from G4VSolid.

Definition at line 171 of file G4OTubs.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("G4OTubs::Extent()", "GeomMgt0001", JustWarning, message);
    DumpInfo();
  }
}

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G4double G4OTubs::GetCosEndPhi ( ) const

inline

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G4double G4OTubs::GetCosStartPhi ( ) const

inline

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G4double G4OTubs::GetCubicVolume ( )

inlinevirtual

Reimplemented from G4VSolid.

G4double G4OTubs::GetDeltaPhiAngle ( ) const

inline

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G4double G4OTubs::GetDPhi ( ) const

inline

G4double G4OTubs::GetDz ( ) const

inline

G4GeometryType G4OTubs::GetEntityType ( ) const

virtual

Implements G4VSolid.

Definition at line 1612 of file G4OTubs.cc.

{
  return G4String("G4Tubs");
}

G4double G4OTubs::GetInnerRadius ( ) const

inline

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G4double G4OTubs::GetOuterRadius ( ) const

inline

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G4ThreeVector G4OTubs::GetPointOnSurface ( ) const

virtual

Reimplemented from G4VSolid.

Definition at line 1653 of file G4OTubs.cc.

{
  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    = G4RandFlat::shoot(fSPhi, fSPhi+fDPhi);
  cosphi = std::cos(phi);
  sinphi = std::sin(phi);

  rRand  = GetRadiusInRing(fRMin,fRMax);
  
  if( (fSPhi == 0) && (fDPhi == twopi) ) { aFou = 0; }
  
  chose  = G4RandFlat::shoot(0.,aOne+aTwo+2.*aThr+2.*aFou);

  if( (chose >=0) && (chose < aOne) )
  {
    xRand = fRMax*cosphi;
    yRand = fRMax*sinphi;
    zRand = G4RandFlat::shoot(-1.*fDz,fDz);
    return G4ThreeVector  (xRand, yRand, zRand);
  }
  else if( (chose >= aOne) && (chose < aOne + aTwo) )
  {
    xRand = fRMin*cosphi;
    yRand = fRMin*sinphi;
    zRand = G4RandFlat::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 = G4RandFlat::shoot(-1.*fDz,fDz);
    return G4ThreeVector  (xRand, yRand, zRand);
  }
  else
  {
    xRand = rRand*std::cos(fSPhi+fDPhi);
    yRand = rRand*std::sin(fSPhi+fDPhi);
    zRand = G4RandFlat::shoot(-1.*fDz,fDz);
    return G4ThreeVector  (xRand, yRand, zRand);
  }
}

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G4double G4OTubs::GetRMax ( ) const

inline

G4double G4OTubs::GetRMin ( ) const

inline

G4double G4OTubs::GetSinEndPhi ( ) const

inline

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G4double G4OTubs::GetSinStartPhi ( ) const

inline

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G4double G4OTubs::GetSPhi ( ) const

inline

G4double G4OTubs::GetStartPhiAngle ( ) const

inline

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G4double G4OTubs::GetSurfaceArea ( )

inlinevirtual

Reimplemented from G4VSolid.

G4double G4OTubs::GetZHalfLength ( ) const

inline

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void G4OTubs::Initialize ( )

inlineprotected

void G4OTubs::InitializeTrigonometry ( )

inlineprotected

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

virtual

Implements G4VSolid.

Definition at line 323 of file G4OTubs.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) { 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;
}

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G4OTubs & G4OTubs::operator=

(

const G4OTubs &

rhs

)

Definition at line 140 of file G4OTubs.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;
   cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = rhs.cosHDPhiIT;
   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;
}

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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 1630 of file G4OTubs.cc.

{
  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;
}

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

virtual

Implements G4VSolid.

Definition at line 490 of file G4OTubs.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 )
    {
      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;
}

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Member Data Documentation

G4double G4OTubs::cosCPhi

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::cosEPhi

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::cosHDPhiIT

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::cosHDPhiOT

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::cosSPhi

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::fDPhi

protected

Definition at line 177 of file G4OTubs.hh.

G4double G4OTubs::fDz

protected

Definition at line 177 of file G4OTubs.hh.

G4bool G4OTubs::fPhiFullTube

protected

Definition at line 186 of file G4OTubs.hh.

G4double G4OTubs::fRMax

protected

Definition at line 177 of file G4OTubs.hh.

G4double G4OTubs::fRMin

protected

Definition at line 177 of file G4OTubs.hh.

G4double G4OTubs::fSPhi

protected

Definition at line 177 of file G4OTubs.hh.

G4double G4OTubs::halfAngTolerance

protected

Definition at line 190 of file G4OTubs.hh.

G4double G4OTubs::halfCarTolerance

protected

Definition at line 190 of file G4OTubs.hh.

G4double G4OTubs::halfRadTolerance

protected

Definition at line 190 of file G4OTubs.hh.

G4double G4OTubs::kAngTolerance

protected

Definition at line 173 of file G4OTubs.hh.

G4double G4OTubs::kRadTolerance

protected

Definition at line 173 of file G4OTubs.hh.

G4double G4OTubs::sinCPhi

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::sinEPhi

protected

Definition at line 181 of file G4OTubs.hh.

G4double G4OTubs::sinSPhi

protected

Definition at line 181 of file G4OTubs.hh.

---

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

• geant4.10.03.p01/source/geometry/solids/CSG/include/G4OTubs.hh
• geant4.10.03.p01/source/geometry/solids/CSG/src/G4OTubs.cc