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geant4/source/geometry/solids/CSG/include/G4Torus.hh
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//
// ********************************************************************
// * 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 1.15 2003/06/16 16:53:25 gunter Exp $
// GEANT4 tag $Name: geant4-05-02-patch-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;
// 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;
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:
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