// // ******************************************************************** // * DISCLAIMER * // * * // * The following disclaimer summarizes all the specific disclaimers * // * of contributors to this software. The specific disclaimers,which * // * govern, are listed with their locations in: * // * http://cern.ch/geant4/license * // * * // * Neither the authors of this software system, nor their employing * // * institutes,nor the agencies providing financial support for this * // * work make any representation or warranty, express or implied, * // * regarding this software system or assume any liability for its * // * use. * // * * // * This code implementation is the intellectual property of the * // * GEANT4 collaboration. * // * By copying, distributing or modifying the Program (or any work * // * based on the Program) you indicate your acceptance of this * // * statement, and all its terms. * // ******************************************************************** // // // $Id: G4Torus.hh,v 1.19 2005/06/08 16:14:25 gcosmo Exp $ // GEANT4 tag $Name: geant4-07-01 $ // // // -------------------------------------------------------------------- // 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 "G4CSGSolid.hh" class G4Torus : public G4CSGSolid { public: // with description G4Torus(const G4String &pName, G4double pRmin, G4double pRmax, G4double pRtor, G4double pSPhi, G4double pDPhi); virtual ~G4Torus(); // Accessors inline G4double GetRmin() const; inline G4double GetRmax() const; inline G4double GetRtor() const; inline G4double GetSPhi() const; inline G4double GetDPhi() const; inline G4double GetCubicVolume(); // Methods of solid 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; 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); G4int TorusRoots( G4double Ri, const G4ThreeVector& p, const G4ThreeVector& v) const ; protected: G4int SolveBiQuadratic(G4double c[], G4double s[] ) const ; G4int SolveCubic(G4double c[], G4double s[] ) const ; G4int SolveBiQuadraticNew(G4double c[], G4double s[] ) const ; G4int SolveCubicNew(G4double c[], G4double s[], G4double& cd ) const ; G4int SolveQuadratic(G4double c[], G4double s[] ) const ; G4double SolveNumeric(const G4ThreeVector& p, const G4ThreeVector& v, G4bool IsDistanceToIn) const; G4double SolveNumericJT(G4double c[]) const; G4ThreeVectorList* CreateRotatedVertices(const G4AffineTransform& pTransform, G4int& noPolygonVertices) const; protected: 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}; private: G4ThreeVector ApproxSurfaceNormal( const G4ThreeVector& p) const; // Algorithm for SurfaceNormal() following the original // specification for points not on the surface inline G4double TorusEquation (G4double x, G4double y, G4double z, G4double R0, G4double R1) const; inline G4double TorusDerivativeX (G4double x, G4double y, G4double z, G4double R0, G4double R1) const; inline G4double TorusDerivativeY (G4double x, G4double y, G4double z, G4double R0, G4double R1) const; inline G4double TorusDerivativeZ (G4double x, G4double y, G4double z, G4double R0, G4double R1) const; inline G4double TorusGradient(G4double dx, G4double dy, G4double dz, G4double x, G4double y, G4double z, G4double Rmax, G4double Rmin) const; void BVMIntersection (G4double x, G4double y, G4double z, G4double dx, G4double dy, G4double dz, G4double Rmax, G4double Rmin, G4double *NewL, G4int *valid) const; void SortIntervals (G4double *SortL, G4double *NewL, G4int *valid, G4int *NbIntersection) const; G4double DistanceToTorus (G4double x, G4double y, G4double z, G4double dx, G4double dy, G4double dz, G4double R0,G4double R1) const; }; class G4TorusEquation { public: G4TorusEquation(); G4TorusEquation(G4double Rmax, G4double Rmin); ~G4TorusEquation(); inline void setRadius (G4double Rmax, G4double Rmin); inline void setPosition (G4double x,G4double y,G4double z); inline void setPosition (const G4ThreeVector& p); inline void setDirection (G4double dirx,G4double diry,G4double dirz); inline void setDirection (const G4ThreeVector& v); public: inline G4double Function (G4double value); inline G4double Derivative(G4double value); private: inline G4double TorusEquation (G4double x, G4double y, G4double z); inline G4double TorusDerivativeX (G4double x, G4double y, G4double z); inline G4double TorusDerivativeY (G4double x, G4double y, G4double z); inline G4double TorusDerivativeZ (G4double x, G4double y, G4double z); private: G4double R0; G4double R1; G4double Px,Py,Pz; G4double dx,dy,dz; }; #include "G4Torus.icc" #endif