library: libGeom
#include "TGeoTorus.h"

TGeoTorus


class description - source file - inheritance tree (.pdf)

class TGeoTorus : public TGeoBBox

Inheritance Chart:
TObject
<-
TNamed
<-
TGeoShape
<-
TGeoBBox
<-
TGeoTorus

    public:
TGeoTorus() TGeoTorus(Double_t r, Double_t rmin, Double_t rmax, Double_t phi1 = 0, Double_t dphi = 360) TGeoTorus(const char* name, Double_t r, Double_t rmin, Double_t rmax, Double_t phi1 = 0, Double_t dphi = 360) TGeoTorus(Double_t* params) TGeoTorus(const TGeoTorus&) virtual ~TGeoTorus() static TClass* Class() virtual void ComputeBBox() virtual void ComputeNormal(Double_t* point, Double_t* dir, Double_t* norm) virtual Bool_t Contains(Double_t* point) const Double_t Daxis(Double_t* pt, Double_t* dir, Double_t t) const Double_t DDaxis(Double_t* pt, Double_t* dir, Double_t t) const Double_t DDDaxis(Double_t* pt, Double_t* dir, Double_t t) const virtual Int_t DistancetoPrimitive(Int_t px, Int_t py) virtual Double_t DistFromInside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const virtual Double_t DistFromOutside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const virtual TGeoVolume* Divide(TGeoVolume* voldiv, const char* divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) virtual const char* GetAxisName(Int_t iaxis) const virtual Double_t GetAxisRange(Int_t iaxis, Double_t& xlo, Double_t& xhi) const virtual void GetBoundingCylinder(Double_t* param) const virtual const TBuffer3D& GetBuffer3D(Int_t reqSections, Bool_t localFrame) const virtual Int_t GetByteCount() const Double_t GetDphi() const virtual TGeoShape* GetMakeRuntimeShape(TGeoShape* mother, TGeoMatrix* mat) const virtual Int_t GetNmeshVertices() const Double_t GetPhi1() const Double_t GetR() const Double_t GetRmax() const Double_t GetRmin() const virtual void InspectShape() const virtual TClass* IsA() const virtual Bool_t IsCylType() const virtual TBuffer3D* MakeBuffer3D() const TGeoTorus& operator=(const TGeoTorus&) virtual Double_t Safety(Double_t* point, Bool_t in = kTRUE) const virtual void SavePrimitive(ofstream& out, Option_t* option) virtual void SetDimensions(Double_t* param) virtual void SetPoints(Double_t* points) const virtual void SetPoints(Float_t* points) const virtual void SetSegsAndPols(TBuffer3D& buff) const void SetTorusDimensions(Double_t r, Double_t rmin, Double_t rmax, Double_t phi1, Double_t dphi) virtual void ShowMembers(TMemberInspector& insp, char* parent) virtual void Sizeof3D() const Int_t SolveCubic(Double_t a, Double_t b, Double_t c, Double_t* x) const Int_t SolveQuartic(Double_t a, Double_t b, Double_t c, Double_t d, Double_t* x) const virtual void Streamer(TBuffer& b) void StreamerNVirtual(TBuffer& b) Double_t ToBoundary(Double_t* pt, Double_t* dir, Double_t r) const

Data Members


    protected:
Double_t fR axial radius Double_t fRmin inner radius Double_t fRmax outer radius Double_t fPhi1 starting phi Double_t fDphi phi extent

Class Description

 TGeoTorus - Torus segment class. A torus has 5 parameters :
            R    - axial radius
            Rmin - inner radius
            Rmax - outer radius
            Phi1 - starting phi
            Dphi - phi extent

_____________________________________________________________________________

TGeoTorus()
 Default constructor

TGeoTorus(Double_t r, Double_t rmin, Double_t rmax, Double_t phi1, Double_t dphi) :TGeoBBox(0, 0, 0)
 Constructor without name.

TGeoTorus(const char *name, Double_t r, Double_t rmin, Double_t rmax, Double_t phi1, Double_t dphi) :TGeoBBox(name, 0, 0, 0)
 Constructor with name.

TGeoTorus(Double_t *param) :TGeoBBox(0, 0, 0)
 Constructor based on an array of parameters.
 param[0] = R
 param[1] = Rmin
 param[2] = Rmax
 param[3] = Phi1
 param[4] = Dphi

void ComputeBBox()
 Compute bounding box of the torus.

void ComputeNormal(Double_t *point, Double_t *dir, Double_t *norm)
 Compute normal to closest surface from POINT.

Bool_t Contains(Double_t *point) const
 Test if point is inside the torus.
 check phi range

Int_t DistancetoPrimitive(Int_t px, Int_t py)
 Compute closest distance from point px,py to each vertex.

Double_t Daxis(Double_t *pt, Double_t *dir, Double_t t) const
 Computes distance to axis of the torus from point pt + t*dir;

Double_t DDaxis(Double_t *pt, Double_t *dir, Double_t t) const
 Computes derivative w.r.t. t of the distance to axis of the torus from point pt + t*dir;

Double_t DDDaxis(Double_t *pt, Double_t *dir, Double_t t) const
 Second derivative of distance to torus axis w.r.t t.

Double_t DistFromInside(Double_t *point, Double_t *dir, Int_t iact, Double_t step, Double_t *safe) const
 Compute distance from inside point to surface of the torus.

Double_t DistFromOutside(Double_t *point, Double_t *dir, Int_t iact, Double_t step, Double_t *safe) const
 Compute distance from outside point to surface of the torus.

TGeoVolume* Divide(TGeoVolume * /*voldiv*/, const char * /*divname*/, Int_t /*iaxis*/, Int_t /*ndiv*/, Double_t /*start*/, Double_t /*step*/)
--- Divide this torus shape belonging to volume "voldiv" into ndiv volumes
 called divname, from start position with the given step.

const char* GetAxisName(Int_t iaxis) const
 Returns name of axis IAXIS.

Double_t GetAxisRange(Int_t iaxis, Double_t &xlo, Double_t &xhi) const
 Get range of shape for a given axis.

void GetBoundingCylinder(Double_t *param) const
--- Fill vector param[4] with the bounding cylinder parameters. The order
 is the following : Rmin, Rmax, Phi1, Phi2, dZ

TGeoShape* GetMakeRuntimeShape(TGeoShape * /*mother*/, TGeoMatrix * /*mat*/) const

void InspectShape() const
 print shape parameters

TBuffer3D* MakeBuffer3D() const
 Creates a TBuffer3D describing *this* shape.
 Coordinates are in local reference frame.

void SetSegsAndPols(TBuffer3D &buff) const
 Fill TBuffer3D structure for segments and polygons.

Double_t Safety(Double_t *point, Bool_t in) const
 computes the closest distance from given point to this shape, according
 to option. The matching point on the shape is stored in spoint.

void SavePrimitive(ofstream &out, Option_t * /*option*/)
 Save a primitive as a C++ statement(s) on output stream "out".

void SetTorusDimensions(Double_t r, Double_t rmin, Double_t rmax, Double_t phi1, Double_t dphi)

void SetDimensions(Double_t *param)

void SetPoints(Double_t *points) const
 Create torus mesh points

void SetPoints(Float_t *points) const
 Create torus mesh points

Int_t GetNmeshVertices() const
 Return number of vertices of the mesh representation

void Sizeof3D() const
/// fill size of this 3-D object
/   TVirtualGeoPainter *painter = gGeoManager->GetGeomPainter();
/   if (!painter) return;
/   Int_t n = gGeoManager->GetNsegments()+1;
/   Int_t numPoints = n*(n-1);
/   Int_t numSegs   = (2*n-1)*(n-1);
/   Int_t numPolys  = (n-1)*(n-1);

/   Bool_t hasrmin = (fRmin>0)?kTRUE:kFALSE;
/   Bool_t hasphi  = (fDphi<360)?kTRUE:kFALSE;
/   if (hasrmin) numPoints *= 2;
/   else if (hasphi) numPoints += 2;
/   if (hasrmin) {
/      numSegs   += (2*n-1)*(n-1);
/      numPolys  += (n-1)*(n-1);
/   }
/   if (hasphi) {
/      numSegs   += 2*(n-1);
/      numPolys  += 2*(n-1);
/   }

/   painter->AddSize3D(numPoints, numSegs, numPolys);

Int_t SolveCubic(Double_t a, Double_t b, Double_t c, Double_t *x) const
 Find real solutions of the cubic equation : x^3 + a*x^2 + b*x + c = 0
 Input: a,b,c
 Output: x[3] real solutions
 Returns number of real solutions (1 or 3)

Int_t SolveQuartic(Double_t a, Double_t b, Double_t c, Double_t d, Double_t *x) const
 Find real solutions of the quartic equation : x^4 + a*x^3 + b*x^2 + c*x + d = 0
 Input: a,b,c,d
 Output: x[4] - real solutions
 Returns number of real solutions (0 to 4)

Double_t ToBoundary(Double_t *pt, Double_t *dir, Double_t r) const
 Returns distance to the surface or the torus (fR,r) from a point, along
 a direction. Point is close enough to the boundary so that the distance
 to the torus is decreasing while moving along the given direction.

const TBuffer3D& GetBuffer3D(Int_t reqSections, Bool_t localFrame) const



Inline Functions


               void ~TGeoTorus()
              Int_t GetByteCount() const
           Double_t GetR() const
           Double_t GetRmin() const
           Double_t GetRmax() const
           Double_t GetPhi1() const
           Double_t GetDphi() const
             Bool_t IsCylType() const
            TClass* Class()
            TClass* IsA() const
               void ShowMembers(TMemberInspector& insp, char* parent)
               void Streamer(TBuffer& b)
               void StreamerNVirtual(TBuffer& b)
          TGeoTorus TGeoTorus(const TGeoTorus&)
         TGeoTorus& operator=(const TGeoTorus&)


Author: Andrei Gheata 28/07/03
Last update: root/geom:$Name: $:$Id: TGeoTorus.cxx,v 1.28 2005/09/04 15:12:08 brun Exp $
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *


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