class TGeoHype: public TGeoTube

 TGeoHype - Hyperboloid class defined by 5 parameters. Bounded by:
            - Two z planes at z=+/-dz
            - Inner and outer lateral surfaces. These represent the surfaces
              described by the revolution of 2 hyperbolas about the Z axis:
               r^2 - (t*z)^2 = a^2

            r = distance between hyperbola and Z axis at coordinate z
            t = tangent of the stereo angle (angle made by hyperbola
                asimptotic lines and Z axis). t=0 means cylindrical surface.
            a = distance between hyperbola and Z axis at z=0

          The inner hyperbolic surface is described by:
              r^2 - (tin*z)^2 = rin^2
           - absence of the inner surface (filled hyperboloid can be forced
             by rin=0 and sin=0
          The outer hyperbolic surface is described by:
              r^2 - (tout*z)^2 = rout^2
  TGeoHype parameters: dz[cm], rin[cm], sin[deg], rout[cm], sout[deg].
    MANDATORY conditions:
           - rin < rout
           - rout > 0
           - rin^2 + (tin*dz)^2 > rout^2 + (tout*dz)^2
    SUPPORTED CASES:
           - rin = 0, tin != 0     => inner surface conical
           - tin=0 AND/OR tout=0   => corresponding surface(s) cyllindrical
             e.g. tin=0 AND tout=0 => shape becomes a tube with: rmin,rmax,dz


Function Members (Methods)

public:
TGeoHype()
TGeoHype(Double_t* params)
TGeoHype(const TGeoHype&)
TGeoHype(Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
TGeoHype(const char* name, Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
virtual~TGeoHype()
voidTObject::AbstractMethod(const char* method) const
virtual voidTObject::AppendPad(Option_t* option = "")
static Bool_tTGeoBBox::AreOverlapping(const TGeoBBox* box1, const TGeoMatrix* mat1, const TGeoBBox* box2, const TGeoMatrix* mat2)
static Double_tTGeoShape::Big()
virtual voidTObject::Browse(TBrowser* b)
virtual Double_tCapacity() const
static TClass*Class()
virtual const char*TObject::ClassName() const
virtual voidTNamed::Clear(Option_t* option = "")
virtual TObject*TNamed::Clone(const char* newname = "") const
virtual Int_tTNamed::Compare(const TObject* obj) const
virtual voidComputeBBox()
virtual voidComputeNormal(Double_t* point, Double_t* dir, Double_t* norm)
static voidTGeoTube::ComputeNormalS(Double_t* point, Double_t* dir, Double_t* norm, Double_t rmin, Double_t rmax, Double_t dz)
virtual Bool_tContains(Double_t* point) const
virtual voidTNamed::Copy(TObject& named) const
virtual Bool_tTGeoBBox::CouldBeCrossed(Double_t* point, Double_t* dir) const
virtual voidTObject::Delete(Option_t* option = "")
virtual Int_tDistancetoPrimitive(Int_t px, Int_t py)
virtual Double_tDistFromInside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
static Double_tTGeoTube::DistFromInsideS(Double_t* point, Double_t* dir, Double_t rmin, Double_t rmax, Double_t dz)
virtual Double_tDistFromOutside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
static Double_tTGeoTube::DistFromOutsideS(Double_t* point, Double_t* dir, Double_t rmin, Double_t rmax, Double_t dz)
Int_tDistToHype(Double_t* point, Double_t* dir, Double_t* s, Bool_t inner) const
static Double_tTGeoShape::DistToPhiMin(Double_t* point, Double_t* dir, Double_t s1, Double_t c1, Double_t s2, Double_t c2, Double_t sm, Double_t cm, Bool_t in = kTRUE)
static voidTGeoTube::DistToTube(Double_t rsq, Double_t nsq, Double_t rdotn, Double_t radius, Double_t& b, Double_t& delta)
virtual TGeoVolume*Divide(TGeoVolume* voldiv, const char* divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step)
virtual voidTGeoShape::Draw(Option_t* option = "")
virtual voidTObject::DrawClass() const
virtual TObject*TObject::DrawClone(Option_t* option = "") const
virtual voidTObject::Dump() const
virtual voidTObject::Error(const char* method, const char* msgfmt) const
virtual voidTObject::Execute(const char* method, const char* params, Int_t* error = 0)
virtual voidTObject::Execute(TMethod* method, TObjArray* params, Int_t* error = 0)
virtual voidTGeoShape::ExecuteEvent(Int_t event, Int_t px, Int_t py)
virtual voidTObject::Fatal(const char* method, const char* msgfmt) const
virtual voidTNamed::FillBuffer(char*& buffer)
virtual TObject*TObject::FindObject(const char* name) const
virtual TObject*TObject::FindObject(const TObject* obj) const
virtual const char*TGeoTube::GetAxisName(Int_t iaxis) const
virtual Double_tGetAxisRange(Int_t iaxis, Double_t& xlo, Double_t& xhi) const
virtual voidGetBoundingCylinder(Double_t* param) const
virtual const TBuffer3D&GetBuffer3D(Int_t reqSections, Bool_t localFrame) const
virtual Int_tGetByteCount() const
virtual Option_t*TObject::GetDrawOption() const
static Long_tTObject::GetDtorOnly()
virtual Double_tTGeoBBox::GetDX() const
virtual Double_tTGeoBBox::GetDY() const
virtual Double_tTGeoTube::GetDz() const
virtual Double_tTGeoBBox::GetDZ() const
virtual Int_tTGeoBBox::GetFittingBox(const TGeoBBox* parambox, TGeoMatrix* mat, Double_t& dx, Double_t& dy, Double_t& dz) const
virtual const char*TObject::GetIconName() const
Int_tTGeoShape::GetId() const
virtual TGeoShape*GetMakeRuntimeShape(TGeoShape* mother, TGeoMatrix* mat) const
virtual voidGetMeshNumbers(Int_t& nvert, Int_t& nsegs, Int_t& npols) const
virtual const char*TGeoShape::GetName() const
virtual Int_tGetNmeshVertices() const
virtual char*TObject::GetObjectInfo(Int_t px, Int_t py) const
static Bool_tTObject::GetObjectStat()
virtual Option_t*TObject::GetOption() const
virtual const Double_t*TGeoBBox::GetOrigin() const
char*TGeoShape::GetPointerName() const
virtual Double_tTGeoTube::GetRmax() const
virtual Double_tTGeoTube::GetRmin() const
Double_tGetStIn() const
Double_tGetStOut() const
virtual const char*TNamed::GetTitle() const
static TGeoMatrix*TGeoShape::GetTransform()
virtual UInt_tTObject::GetUniqueID() const
virtual Bool_tTObject::HandleTimer(TTimer* timer)
virtual ULong_tTNamed::Hash() const
Bool_tHasInner() const
Bool_tTGeoTube::HasRmin() const
virtual voidTObject::Info(const char* method, const char* msgfmt) const
virtual Bool_tTObject::InheritsFrom(const char* classname) const
virtual Bool_tTObject::InheritsFrom(const TClass* cl) const
virtual voidTObject::Inspect() const
virtual voidInspectShape() const
voidTObject::InvertBit(UInt_t f)
voidTGeoShape::InvertShapeBit(UInt_t f)
virtual TClass*IsA() const
static Bool_tTGeoShape::IsCloseToPhi(Double_t epsil, Double_t* point, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
virtual Bool_tTGeoShape::IsComposite() const
static Bool_tTGeoShape::IsCrossingSemiplane(Double_t* point, Double_t* dir, Double_t cphi, Double_t sphi, Double_t& snext, Double_t& rxy)
virtual Bool_tIsCylType() const
virtual Bool_tTObject::IsEqual(const TObject* obj) const
virtual Bool_tTObject::IsFolder() const
static Bool_tTGeoShape::IsInPhiRange(Double_t* point, Double_t phi1, Double_t phi2)
virtual Bool_tTGeoBBox::IsNullBox() const
Bool_tTObject::IsOnHeap() const
virtual Bool_tTGeoShape::IsReflected() const
Bool_tTGeoShape::IsRunTimeShape() const
virtual Bool_tTNamed::IsSortable() const
Bool_tTGeoShape::IsValid() const
virtual Bool_tTGeoBBox::IsValidBox() const
Bool_tTObject::IsZombie() const
virtual voidTNamed::ls(Option_t* option = "") const
virtual TBuffer3D*MakeBuffer3D() const
voidTObject::MayNotUse(const char* method) const
static voidTGeoShape::NormalPhi(Double_t* point, Double_t* dir, Double_t* norm, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
virtual Bool_tTObject::Notify()
static voidTObject::operator delete(void* ptr)
static voidTObject::operator delete(void* ptr, void* vp)
static voidTObject::operator delete[](void* ptr)
static voidTObject::operator delete[](void* ptr, void* vp)
void*TObject::operator new(size_t sz)
void*TObject::operator new(size_t sz, void* vp)
void*TObject::operator new[](size_t sz)
void*TObject::operator new[](size_t sz, void* vp)
TGeoHype&operator=(const TGeoHype&)
virtual voidTGeoShape::Paint(Option_t* option = "")
virtual voidTObject::Pop()
virtual voidTNamed::Print(Option_t* option = "") const
Double_tRadiusHypeSq(Double_t z, Bool_t inner) const
virtual Int_tTObject::Read(const char* name)
virtual voidTObject::RecursiveRemove(TObject* obj)
voidTObject::ResetBit(UInt_t f)
voidTGeoShape::ResetShapeBit(UInt_t f)
virtual Double_tSafety(Double_t* point, Bool_t in = kTRUE) const
static Double_tTGeoShape::SafetyPhi(Double_t* point, Bool_t in, Double_t phi1, Double_t phi2)
static Double_tTGeoTube::SafetyS(Double_t* point, Bool_t in, Double_t rmin, Double_t rmax, Double_t dz, Int_t skipz = 0)
Double_tSafetyToHype(Double_t* point, Bool_t inner, Bool_t in) const
virtual voidTObject::SaveAs(const char* filename = "", Option_t* option = "") const
virtual voidSavePrimitive(ostream& out, Option_t* option = "")
voidTObject::SetBit(UInt_t f)
voidTObject::SetBit(UInt_t f, Bool_t set)
voidTGeoBBox::SetBoxDimensions(Double_t dx, Double_t dy, Double_t dz, Double_t* origin = 0)
voidTGeoBBox::SetBoxPoints(Double_t* points) const
virtual voidSetDimensions(Double_t* param)
virtual voidTObject::SetDrawOption(Option_t* option = "")
static voidTObject::SetDtorOnly(void* obj)
voidSetHypeDimensions(Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
voidTGeoShape::SetId(Int_t id)
virtual voidTNamed::SetName(const char* name)
virtual voidTNamed::SetNameTitle(const char* name, const char* title)
static voidTObject::SetObjectStat(Bool_t stat)
virtual voidSetPoints(Double_t* points) const
virtual voidSetPoints(Float_t* points) const
voidTGeoShape::SetRuntime(Bool_t flag = kTRUE)
virtual voidSetSegsAndPols(TBuffer3D& buff) const
voidTGeoShape::SetShapeBit(UInt_t f)
voidTGeoShape::SetShapeBit(UInt_t f, Bool_t set)
virtual voidTNamed::SetTitle(const char* title = "")
static voidTGeoShape::SetTransform(TGeoMatrix* matrix)
voidTGeoTube::SetTubeDimensions(Double_t rmin, Double_t rmax, Double_t dz)
virtual voidTObject::SetUniqueID(UInt_t uid)
Int_tTGeoShape::ShapeDistancetoPrimitive(Int_t numpoints, Int_t px, Int_t py) const
virtual voidShowMembers(TMemberInspector& insp, char* parent)
virtual Int_tTNamed::Sizeof() const
virtual voidSizeof3D() const
virtual voidStreamer(TBuffer& b)
voidStreamerNVirtual(TBuffer& b)
virtual voidTObject::SysError(const char* method, const char* msgfmt) const
Bool_tTObject::TestBit(UInt_t f) const
Int_tTObject::TestBits(UInt_t f) const
Bool_tTGeoShape::TestShapeBit(UInt_t f) const
Int_tTGeoShape::TestShapeBits(UInt_t f) const
static Double_tTGeoShape::Tolerance()
virtual voidTObject::UseCurrentStyle()
virtual voidTObject::Warning(const char* method, const char* msgfmt) const
virtual Int_tTObject::Write(const char* name = 0, Int_t option = 0, Int_t bufsize = 0)
virtual Int_tTObject::Write(const char* name = 0, Int_t option = 0, Int_t bufsize = 0) const
Double_tZHypeSq(Double_t r, Bool_t inner) const
protected:
virtual voidTObject::DoError(int level, const char* location, const char* fmt, va_list va) const
virtual voidTGeoBBox::FillBuffer3D(TBuffer3D& buffer, Int_t reqSections, Bool_t localFrame) const
Int_tTGeoShape::GetBasicColor() const
voidTObject::MakeZombie()
voidTGeoShape::SetOnBoundary(Bool_t)
voidTGeoShape::TransformPoints(Double_t* points, UInt_t NbPoints) const

Data Members

public:
enum TGeoShape::EShapeType { kBitMask32
kGeoNoShape
kGeoBad
kGeoRSeg
kGeoPhiSeg
kGeoThetaSeg
kGeoVisX
kGeoVisY
kGeoVisZ
kGeoRunTimeShape
kGeoInvalidShape
kGeoTorus
kGeoBox
kGeoPara
kGeoSph
kGeoTube
kGeoTubeSeg
kGeoCone
kGeoConeSeg
kGeoPcon
kGeoPgon
kGeoArb8
kGeoEltu
kGeoTrap
kGeoCtub
kGeoTrd1
kGeoTrd2
kGeoComb
kGeoClosedShape
kGeoXtru
kGeoParaboloid
kGeoHalfSpace
kGeoHype
kGeoSavePrimitive
};
enum TObject::EStatusBits { kCanDelete
kMustCleanup
kObjInCanvas
kIsReferenced
kHasUUID
kCannotPick
kNoContextMenu
kInvalidObject
};
enum TObject::[unnamed] { kIsOnHeap
kNotDeleted
kZombie
kBitMask
kSingleKey
kOverwrite
kWriteDelete
};
protected:
Double_tTGeoBBox::fDXX half-length
Double_tTGeoBBox::fDYY half-length
Double_tTGeoBBox::fDZZ half-length
Double_tTGeoTube::fDzhalf length
TStringTNamed::fNameobject identifier
Double_tTGeoBBox::fOrigin[3]box origin
Double_tTGeoTube::fRmaxouter radius
Double_tTGeoTube::fRmininner radius
UInt_tTGeoShape::fShapeBitsshape bits
Int_tTGeoShape::fShapeIdshape id
Double_tfStInStereo angle for inner surface
Double_tfStOutStereo angle for inner surface
TStringTNamed::fTitleobject title
private:
Double_tfTinTangent of stereo angle for inner surface
Double_tfTinsqSquared tangent of stereo angle for inner surface
Double_tfToutTangent of stereo angle for outer surface
Double_tfToutsqSquared tangent of stereo angle for outer surface

Class Charts

Inheritance Inherited Members Includes Libraries
Class Charts

Function documentation

TGeoHype()
 Default constructor
TGeoHype(Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
 Constructor specifying hyperboloid parameters.
TGeoHype(const char* name, Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
 Constructor specifying parameters and name.
TGeoHype(Double_t *param)
 Default constructor specifying a list of parameters
 param[0] = dz
 param[1] = rin
 param[2] = stin
 param[3] = rout
 param[4] = stout
~TGeoHype()
 destructor
Double_t Capacity()
 Computes capacity of the shape in [length^3]
void ComputeBBox()
 Compute bounding box of the hyperboloid
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 this tube
Int_t DistancetoPrimitive(Int_t px, Int_t py)
 compute closest distance from point px,py to each corner
Double_t DistFromInside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
 Compute distance from inside point to surface of the hyperboloid.
Double_t DistFromOutside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
 compute distance from outside point to surface of the hyperboloid.
Int_t DistToHype(Double_t* point, Double_t* dir, Double_t* s, Bool_t inner) const
 Compute distance from an arbitrary point to inner/outer surface of hyperboloid.
 Returns number of positive solutions. S[2] contains the solutions.
TGeoVolume * Divide(TGeoVolume* voldiv, const char* divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step)
 Cannot divide hyperboloids.
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
 in case shape has some negative parameters, these has to be computed
 in order to fit the mother
void InspectShape()
 print shape parameters
TBuffer3D * MakeBuffer3D()
 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 RadiusHypeSq(Double_t z, Bool_t inner) const
 Compute r^2 = x^2 + y^2 at a given z coordinate, for either inner or outer hyperbolas.
Double_t ZHypeSq(Double_t r, Bool_t inner) const
 Compute z^2 at a given  r^2, for either inner or outer hyperbolas.
Double_t Safety(Double_t* point, Bool_t in = kTRUE) const
 computes the closest distance from given point to this shape, according
 to option. The matching point on the shape is stored in spoint.
Double_t SafetyToHype(Double_t* point, Bool_t inner, Bool_t in) const
 Compute an underestimate of the closest distance from a point to inner or
 outer infinite hyperbolas.
void SavePrimitive(ostream& out, Option_t* option = "")
 Save a primitive as a C++ statement(s) on output stream "out".
void SetHypeDimensions(Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
 Set dimensions of the hyperboloid.
void SetDimensions(Double_t* param)
 Set dimensions of the hyperboloid starting from an array.
 param[0] = dz
 param[1] = rin
 param[2] = stin
 param[3] = rout
 param[4] = stout
void SetPoints(Double_t *points)
 create tube mesh points
void SetPoints(Float_t *points)
 create tube mesh points
void GetMeshNumbers(Int_t& nvert, Int_t& nsegs, Int_t& npols) const
 Returns numbers of vertices, segments and polygons composing the shape mesh.
Int_t GetNmeshVertices()
 Return number of vertices of the mesh representation
void Sizeof3D()
 fill size of this 3-D object
    TVirtualGeoPainter *painter = gGeoManager->GetGeomPainter();
    if (!painter) return;
    Int_t n = gGeoManager->GetNsegments();
    Int_t numPoints = n*4;
    Int_t numSegs   = n*8;
    Int_t numPolys  = n*4;
    painter->AddSize3D(numPoints, numSegs, numPolys);
const TBuffer3D & GetBuffer3D(Int_t reqSections, Bool_t localFrame) const
 Fills a static 3D buffer and returns a reference.
TGeoHype()
 constructors
Int_t GetByteCount()
{return 64;}
Double_t GetStIn()
{return fStIn;}
Double_t GetStOut()
{return fStOut;}
Bool_t HasInner()
{return !TestShapeBit(kGeoRSeg);}
Bool_t IsCylType()
{return kTRUE;}

Author: Mihaela Gheata 20/11/04
Last update: root/geom:$Id: TGeoHype.h 21425 2007-12-17 15:59:27Z brun $
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *

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