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geant4/source/geometry/solids/CSG/include/G4Trap.hh
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//
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//
//
// $Id: G4Trap.hh,v 1.16 2006/06/29 18:44:49 gunter Exp $
// GEANT4 tag $Name: geant4-08-01 $
//
//
// --------------------------------------------------------------------
// GEANT 4 class header file
//
// G4Trap
//
// Class description:
//
// A G4Trap is a general trapezoid: The faces perpendicular to the
// z planes are trapezia, and their centres are not necessarily on
// a line parallel to the z axis.
//
// Note that of the 11 parameters described below, only 9 are really
// independent - a check for planarity is made in the calculation of the
// equation for each plane. If the planes are not parallel, a call to
// G4Exception is made.
//
// pDz Half-length along the z-axis
// pTheta Polar angle of the line joining the centres of the faces
// at -/+pDz
// pPhi Azimuthal angle of the line joing the centre of the face at
// -pDz to the centre of the face at +pDz
// pDy1 Half-length along y of the face at -pDz
// pDx1 Half-length along x of the side at y=-pDy1 of the face at -pDz
// pDx2 Half-length along x of the side at y=+pDy1 of the face at -pDz
// pAlp1 Angle with respect to the y axis from the centre of the side
// at y=-pDy1 to the centre at y=+pDy1 of the face at -pDz
//
// pDy2 Half-length along y of the face at +pDz
// pDx3 Half-length along x of the side at y=-pDy2 of the face at +pDz
// pDx4 Half-length along x of the side at y=+pDy2 of the face at +pDz
// pAlp2 Angle with respect to the y axis from the centre of the side
// at y=-pDy2 to the centre at y=+pDy2 of the face at +pDz
//
//
// Member Data:
//
// fDz Half-length along the z axis
// fTthetaCphi = std::tan(pTheta)*std::cos(pPhi)
// fTthetaSphi = std::tan(pTheta)*std::sin(pPhi)
// These combinations are suitable for creation of the trapezoid corners
//
// fDy1 Half-length along y of the face at -fDz
// fDx1 Half-length along x of the side at y=-fDy1 of the face at -fDz
// fDx2 Half-length along x of the side at y=+fDy1 of the face at -fDz
// fTalpha1 Tan of Angle with respect to the y axis from the centre of
// the side at y=-fDy1 to the centre at y=+fDy1 of the face
// at -fDz
//
// fDy2 Half-length along y of the face at +fDz
// fDx3 Half-length along x of the side at y=-fDy2 of the face at +fDz
// fDx4 Half-length along x of the side at y=+fDy2 of the face at +fDz
// fTalpha2 Tan of Angle with respect to the y axis from the centre of
// the side at y=-fDy2 to the centre at y=+fDy2 of the face
// at +fDz
//
// TrapSidePlane fPlanes[4] Plane equations of the faces not at +/-fDz
// NOTE: order is important !!!
// History:
//
// 23.3.94 P.Kent: Old C++ code converted to tolerant geometry
// 9.9.96 V.Grichine: Final modifications before to commit
// 1.11.96 V.Grichine: Costructors for Right Angular Wedge from STEP, G4Trd/Para
// 8.12.97 J.Allison: Added "nominal" contructor and method SetAllParameters.
// --------------------------------------------------------------------
#ifndef G4Trap_HH
#define G4Trap_HH
#include "G4CSGSolid.hh"
struct TrapSidePlane
{
G4double a,b,c,d; // Normal unit vector (a,b,c) and offset (d)
// => Ax+By+Cz+D=0
};
class G4Trap : public G4CSGSolid
{
public: // with description
G4Trap( const G4String& pName,
G4double pDz,
G4double pTheta, G4double pPhi,
G4double pDy1, G4double pDx1, G4double pDx2,
G4double pAlp1,
G4double pDy2, G4double pDx3, G4double pDx4,
G4double pAlp2 );
//
// The most general constructor for G4Trap which prepares plane
// equations and corner coordinates from parameters
G4Trap( const G4String& pName,
const G4ThreeVector pt[8] ) ;
//
// Prepares plane equations and parameters from corner coordinates
G4Trap( const G4String& pName,
G4double pZ,
G4double pY,
G4double pX, G4double pLTX );
//
// Constructor for Right Angular Wedge from STEP (assumes pLTX<=pX)
G4Trap( const G4String& pName,
G4double pDx1, G4double pDx2,
G4double pDy1, G4double pDy2,
G4double pDz );
//
// Constructor for G4Trd
G4Trap(const G4String& pName,
G4double pDx, G4double pDy, G4double pDz,
G4double pAlpha, G4double pTheta, G4double pPhi );
//
// Constructor for G4Para
G4Trap( const G4String& pName );
//
// Constructor for "nominal" G4Trap whose parameters are to be set
// by a G4VPVParamaterisation later
virtual ~G4Trap() ;
//
// Destructor
// Accessors
inline G4double GetZHalfLength() const;
inline G4double GetYHalfLength1() const;
inline G4double GetXHalfLength1() const;
inline G4double GetXHalfLength2() const;
inline G4double GetTanAlpha1() const;
inline G4double GetYHalfLength2() const;
inline G4double GetXHalfLength3() const;
inline G4double GetXHalfLength4() const;
inline G4double GetTanAlpha2() const;
//
// Returns coordinates of unit vector along straight
// line joining centers of -/+fDz planes
inline TrapSidePlane GetSidePlane( G4int n ) const;
inline G4ThreeVector GetSymAxis() const;
inline G4double GetCubicVolume();
// Modifiers
void SetAllParameters ( G4double pDz,
G4double pTheta,
G4double pPhi,
G4double pDy1,
G4double pDx1,
G4double pDx2,
G4double pAlp1,
G4double pDy2,
G4double pDx3,
G4double pDx4,
G4double pAlp2 );
// Methods for solid
void ComputeDimensions( G4VPVParameterisation* p,
const G4int n,
const G4VPhysicalVolume* pRep );
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=false,
G4bool *validNorm=0, G4ThreeVector *n=0) const;
G4double DistanceToOut( const G4ThreeVector& p ) const;
G4GeometryType GetEntityType() const;
G4ThreeVector GetPointOnSurface() const;
std::ostream& StreamInfo( std::ostream& os ) const;
// Visualisation functions
void DescribeYourselfTo ( G4VGraphicsScene& scene ) const;
G4Polyhedron* CreatePolyhedron () const;
G4NURBS* CreateNURBS () const;
public: // without description
G4Trap(__void__&);
// Fake default constructor for usage restricted to direct object
// persistency for clients requiring preallocation of memory for
// persistifiable objects.
protected: // with description
G4bool MakePlanes();
G4bool MakePlane( const G4ThreeVector& p1,
const G4ThreeVector& p2,
const G4ThreeVector& p3,
const G4ThreeVector& p4,
TrapSidePlane& plane ) ;
G4ThreeVectorList*
CreateRotatedVertices( const G4AffineTransform& pTransform ) const;
//
// Creates the List of transformed vertices in the format required
// for G4CSGSolid:: ClipCrossSection and ClipBetweenSections
private:
G4ThreeVector ApproxSurfaceNormal( const G4ThreeVector& p ) const;
// Algorithm for SurfaceNormal() following the original
// specification for points not on the surface
inline G4double GetFaceArea(const G4ThreeVector& p1,
const G4ThreeVector& p2,
const G4ThreeVector& p3,
const G4ThreeVector& p4);
//
// Provided four corners of plane in clockwise fashion,
// it returns the area of finite face
G4ThreeVector GetPointOnPlane(G4ThreeVector p0, G4ThreeVector p1,
G4ThreeVector p2, G4ThreeVector p3,
G4double& area) const;
//
// Returns a random point on the surface of one of the faces
private:
G4double fDz,fTthetaCphi,fTthetaSphi;
G4double fDy1,fDx1,fDx2,fTalpha1;
G4double fDy2,fDx3,fDx4,fTalpha2;
TrapSidePlane fPlanes[4];
};
#include "G4Trap.icc"
#endif