G4Torus.hh

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// $Id$
//
// 
// --------------------------------------------------------------------
// GEANT 4 class header file
//
// G4Torus
//
// Class description:
//
//   A torus or torus segment with curved sides parallel to the z-axis.
//   The torus has a specified swept radius about which it is centered,
//   and a given minimum and maximum radius. A minimum radius of 0
//   signifies a filled torus.
//   The torus segment is specified by starting and delta angles for phi,
//   with 0 being the +x axis, PI/2 the +y axis. A delta angle of 2PI
//   signifies a complete, unsegmented torus/cylindr.
//
//   Member functions:
//
//   As inherited from G4CSGSolid+
//
//     G4Torus(const G4String      &pName
//             G4double      pRmin
//             G4double      pRmax
//             G4double      pRtor
//             G4double      pSPhi
//             G4double      pDPhi )
//
//     - Construct a torus with the given name and dimensions.
//       The angles are provided is radians. pRtor >= pRmax
//
//
//   Protected:
//
//     G4ThreeVectorList*
//     CreateRotatedVertices(const G4AffineTransform& pTransform) const
//
//     - Create the List of transformed vertices in the format required
//       for G4VSolid:: ClipCrossSection and ClipBetweenSections.
//   
//   Member Data:
//
//  fRmin  Inside radius
//  fRmax  Outside radius
//  fRtor  swept radius of torus
//
//  fSPhi  The starting phi angle in radians,
//         adjusted such that fSPhi+fDPhi<=2PI, fSPhi>-2PI
//
//  fDPhi  Delta angle of the segment in radians
//
//   You could find very often in G4Torus functions values like 'pt' or
//   'it'. These are the distances from p or i G4ThreeVector points in the
//   plane (Z axis points p or i) to fRtor point in XY plane. This value is
//   similar to rho for G4Tubs and is used for definiton of the point
//   relative to fRmin and fRmax, i.e. for solution of inside/outside
//   problems
 
// History:
// 30.10.96 V.Grichine: first version of G4Torus
// 21.04.98 J.Apostolakis: added SetAllParameters() function
// 26.05.00 V.Grichine: added new SolveBiQuadratic/Cubic() developed
//                      by O.Cremonesi 
// 31.08.00 E.Medernach: added SolveNumeric functions, migrated to
//                       numeric solutions 
// --------------------------------------------------------------------
 
#ifndef G4Torus_HH
#define G4Torus_HH
 
#include <CLHEP/Units/PhysicalConstants.h>
 
#include "G4CSGSolid.hh"
 
class G4Torus : public G4CSGSolid
{
 
  public:  // with description
 
    G4Torus(const G4String &pName,
                  G4double pRmin,
                  G4double pRmax,
                  G4double pRtor,
                  G4double pSPhi,
                  G4double pDPhi);
 
   ~G4Torus();
    
    // Accessors
 
    inline G4double GetRmin() const;
    inline G4double GetRmax() const;
    inline G4double GetRtor() const;
    inline G4double GetSPhi() const;
    inline G4double GetDPhi() const;
 
    // Methods of solid
 
    inline G4double GetCubicVolume();
    inline G4double GetSurfaceArea();
 
    EInside Inside(const G4ThreeVector& p) const;
    G4bool CalculateExtent(const EAxis pAxis,
                           const G4VoxelLimits& pVoxelLimit,
                           const G4AffineTransform& pTransform,
                                 G4double& pmin, G4double& pmax) const;
    void ComputeDimensions(      G4VPVParameterisation* p,
                           const G4int n,
                           const G4VPhysicalVolume* pRep);
    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;
 
    // Visualisation functions
 
    void                DescribeYourselfTo (G4VGraphicsScene& scene) const;
    G4Polyhedron*       CreatePolyhedron   () const;
    G4NURBS*            CreateNURBS        () const;
 
  public:  // without description
 
    void SetAllParameters(G4double pRmin, G4double pRmax, G4double pRtor,
                          G4double pSPhi, G4double pDPhi);
 
    G4Torus(__void__&);
      // Fake default constructor for usage restricted to direct object
      // persistency for clients requiring preallocation of memory for
      // persistifiable objects.
 
    G4Torus(const G4Torus& rhs);
    G4Torus& operator=(const G4Torus& rhs); 
      // Copy constructor and assignment operator.
 
  private:
 
    void TorusRootsJT(const G4ThreeVector& p,
                      const G4ThreeVector& v,
                            G4double r,
                            std::vector<G4double>& roots) const ;
 
    G4double SolveNumericJT(const G4ThreeVector& p,
                            const G4ThreeVector& v,
                                  G4double r,
                                  G4bool IsDistanceToIn) const;
 
    G4ThreeVectorList*
    CreateRotatedVertices(const G4AffineTransform& pTransform,
                                G4int& noPolygonVertices) const;
 
    G4ThreeVector ApproxSurfaceNormal( const G4ThreeVector& p) const;
      // Algorithm for SurfaceNormal() following the original
      // specification for points not on the surface
 
  private:
 
    G4double fRmin,fRmax,fRtor,fSPhi,fDPhi;
 
    // Used by distanceToOut
    enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi};
 
    // used by normal
    enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi};
    
    G4double fRminTolerance, fRmaxTolerance, kRadTolerance, kAngTolerance;
      // Radial and angular tolerances
};
 
#include "G4Torus.icc"
 
#endif