Import Geant4 10.1.0 source tree
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Gabriele Cosmo
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//
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// ********************************************************************
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// * This Software is part of the AIDA Unified Solids Library package *
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// * See: https://aidasoft.web.cern.ch/USolids *
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// ********************************************************************
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//
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// $Id:$
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//
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// --------------------------------------------------------------------
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//
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// UTrap
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//
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// Class description:
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//
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// A UTrap is a general trapezoid: The faces perpendicular to the
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// z planes are trapezia, and their centres are not necessarily on
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// a line parallel to the z axis.
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//
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// Note that of the 11 parameters described below, only 9 are really
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// independent - a check for planarity is made in the calculation of the
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// equation for each plane. If the planes are not parallel, a call to
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// UException is made.
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//
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// pDz Half-length along the z-axis
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// pTheta Polar angle of the line joining the centres of the faces
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// at -/+pDz
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// pPhi Azimuthal angle of the line joing the centre of the face at
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// -pDz to the centre of the face at +pDz
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// pDy1 Half-length along y of the face at -pDz
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// pDx1 Half-length along x of the side at y=-pDy1 of the face at -pDz
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// pDx2 Half-length along x of the side at y=+pDy1 of the face at -pDz
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// pAlp1 Angle with respect to the y axis from the centre of the side
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// at y=-pDy1 to the centre at y=+pDy1 of the face at -pDz
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//
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// pDy2 Half-length along y of the face at +pDz
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// pDx3 Half-length along x of the side at y=-pDy2 of the face at +pDz
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// pDx4 Half-length along x of the side at y=+pDy2 of the face at +pDz
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// pAlp2 Angle with respect to the y axis from the centre of the side
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// at y=-pDy2 to the centre at y=+pDy2 of the face at +pDz
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//
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// Member Data:
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//
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// fDz Half-length along the z axis
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// fTthetaCphi = std::tan(pTheta)*std::cos(pPhi)
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// fTthetaSphi = std::tan(pTheta)*std::sin(pPhi)
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// These combinations are suitable for creation of the trapezoid corners
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//
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// fDy1 Half-length along y of the face at -fDz
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// fDx1 Half-length along x of the side at y=-fDy1 of the face at -fDz
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// fDx2 Half-length along x of the side at y=+fDy1 of the face at -fDz
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// fTalpha1 Tan of Angle with respect to the y axis from the centre of
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// the side at y=-fDy1 to the centre at y=+fDy1 of the face
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// at -fDz
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//
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// fDy2 Half-length along y of the face at +fDz
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// fDx3 Half-length along x of the side at y=-fDy2 of the face at +fDz
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// fDx4 Half-length along x of the side at y=+fDy2 of the face at +fDz
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// fTalpha2 Tan of Angle with respect to the y axis from the centre of
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// the side at y=-fDy2 to the centre at y=+fDy2 of the face
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// at +fDz
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//
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// UTrapSidePlane fPlanes[4] Plane equations of the faces not at +/-fDz
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// NOTE: order is important !!!
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//
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// 12.02.13 Marek Gayer
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// Created from original implementation in Geant4
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// --------------------------------------------------------------------
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#ifndef UTrap_HH
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#define UTrap_HH
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#include "VUSolid.hh"
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struct UTrapSidePlane
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{
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double a, b, c, d; // Normal Unit vector (a,b,c) and offset (d)
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// => Ax+By+Cz+D=0
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};
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class UTrap : public VUSolid
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{
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public: // with description
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UTrap(const std::string& pName,
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double pDz,
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double pTheta, double pPhi,
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double pDy1, double pDx1, double pDx2,
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double pAlp1,
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double pDy2, double pDx3, double pDx4,
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double pAlp2);
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//
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// The most general constructor for UTrap which prepares plane
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// equations and corner coordinates from parameters
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UTrap(const std::string& pName,
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const UVector3 pt[8]) ;
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//
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// Prepares plane equations and parameters from corner coordinates
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UTrap(const std::string& pName,
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double pZ,
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double pY,
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double pX, double pLTX);
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//
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// Constructor for Right Angular Wedge from STEP (assumes pLTX<=pX)
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UTrap(const std::string& pName,
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double pDx1, double pDx2,
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double pDy1, double pDy2,
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double pDz);
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//
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// Constructor for UTrd
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UTrap(const std::string& pName,
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double pDx, double pDy, double pDz,
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double pAlpha, double pTheta, double pPhi);
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//
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// Constructor for UPara
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UTrap(const std::string& pName);
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//
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// Constructor for "nominal" UTrap whose parameters are to be Set
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// by a UVPVParamaterisation later
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virtual ~UTrap() ;
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//
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// Destructor
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// Accessors
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inline double GetZHalfLength() const;
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inline double GetYHalfLength1() const;
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inline double GetXHalfLength1() const;
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inline double GetXHalfLength2() const;
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inline double GetTanAlpha1() const;
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inline double GetYHalfLength2() const;
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inline double GetXHalfLength3() const;
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inline double GetXHalfLength4() const;
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inline double GetTanAlpha2() const;
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//
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// Returns coordinates of Unit vector along straight
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// line joining centers of -/+fDz planes
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inline UTrapSidePlane GetSidePlane(int n) const;
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inline UVector3 GetSymAxis() const;
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// Modifiers
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void SetAllParameters(double pDz,
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double pTheta,
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double pPhi,
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double pDy1,
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double pDx1,
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double pDx2,
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double pAlp1,
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double pDy2,
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double pDx3,
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double pDx4,
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double pAlp2);
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void SetPlanes(const UVector3 pt[8]);
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// Methods for solid
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inline double Capacity();
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inline double SurfaceArea();
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VUSolid::EnumInside Inside(const UVector3& p) const;
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UVector3 SurfaceNormal(const UVector3& p) const;
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bool Normal(const UVector3& aPoint, UVector3& aNormal) const;
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double DistanceToIn(const UVector3& p, const UVector3& v,
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double aPstep = UUtils::kInfinity) const;
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double SafetyFromOutside(const UVector3& p, bool precise = false) const;
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double DistanceToOut(const UVector3& p,
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const UVector3& v,
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UVector3& aNormalVector,
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bool& aConvex,
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double aPstep = UUtils::kInfinity) const;
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double SafetyFromInside(const UVector3& p, bool precise = false) const;
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UGeometryType GetEntityType() const;
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UVector3 GetPointOnSurface() const;
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VUSolid* Clone() const;
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virtual void Extent(UVector3& aMin, UVector3& aMax) const;
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std::ostream& StreamInfo(std::ostream& os) const;
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// Visualisation functions
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public: // without description
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UTrap(const UTrap& rhs);
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UTrap& operator=(const UTrap& rhs);
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// Copy constructor and assignment operator.
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inline double GetThetaCphi() const;
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inline double GetThetaSphi() const;
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protected: // with description
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bool MakePlanes();
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bool MakePlane(const UVector3& p1,
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const UVector3& p2,
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const UVector3& p3,
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const UVector3& p4,
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UTrapSidePlane& plane) ;
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private:
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UVector3 ApproxSurfaceNormal(const UVector3& p) const;
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// Algorithm for SurfaceNormal() following the original
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// specification for points not on the surface
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inline double GetFaceArea(const UVector3& p1,
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const UVector3& p2,
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const UVector3& p3,
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const UVector3& p4);
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//
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// Provided four corners of plane in clockwise fashion,
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// it returns the area of finite face
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UVector3 GetPointOnPlane(UVector3 p0, UVector3 p1,
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UVector3 p2, UVector3 p3,
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double& area) const;
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//
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// Returns a random point on the surface of one of the faces
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void GetParametersList(int /*aNumber*/, double* /*aArray*/) const {}
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void ComputeBBox(UBBox* /*aBox*/, bool /*aStore = false*/) {}
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private:
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double fDz, fTthetaCphi, fTthetaSphi;
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double fDy1, fDx1, fDx2, fTalpha1;
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double fDy2, fDx3, fDx4, fTalpha2;
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UTrapSidePlane fPlanes[4];
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double fCubicVolume;
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double fSurfaceArea;
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};
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#include "UTrap.icc"
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#endif
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