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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 voidTGeoShape::AfterStreamer()
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
voidTGeoShape::CheckShape(Int_t testNo, Int_t nsamples = 10000, Option_t* option = "")
static TClass*Class()
virtual const char*TObject::ClassName() const
virtual voidTNamed::Clear(Option_t* option = "")
virtual voidTGeoShape::ClearThreadData() const
virtual TObject*TNamed::Clone(const char* newname = "") const
virtual Int_tTNamed::Compare(const TObject* obj) const
virtual voidComputeBBox()
static Double_tTGeoShape::ComputeEpsMch()
virtual voidComputeNormal(const Double_t* point, const Double_t* dir, Double_t* norm)
virtual voidComputeNormal_v(const Double_t* points, const Double_t* dirs, Double_t* norms, Int_t vecsize)
static voidTGeoTube::ComputeNormalS(const Double_t* point, const Double_t* dir, Double_t* norm, Double_t rmin, Double_t rmax, Double_t dz)
virtual Bool_tContains(const Double_t* point) const
virtual voidContains_v(const Double_t* points, Bool_t* inside, Int_t vecsize) const
virtual voidTNamed::Copy(TObject& named) const
virtual Bool_tTGeoBBox::CouldBeCrossed(const Double_t* point, const Double_t* dir) const
virtual voidTGeoShape::CreateThreadData(Int_t)
virtual voidTObject::Delete(Option_t* option = "")MENU
virtual Int_tDistancetoPrimitive(Int_t px, Int_t py)
virtual Double_tDistFromInside(const Double_t* point, const Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
virtual voidDistFromInside_v(const Double_t* points, const Double_t* dirs, Double_t* dists, Int_t vecsize, Double_t* step) const
static Double_tTGeoTube::DistFromInsideS(const Double_t* point, const Double_t* dir, Double_t rmin, Double_t rmax, Double_t dz)
virtual Double_tDistFromOutside(const Double_t* point, const Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
virtual voidDistFromOutside_v(const Double_t* points, const Double_t* dirs, Double_t* dists, Int_t vecsize, Double_t* step) const
static Double_tTGeoTube::DistFromOutsideS(const Double_t* point, const Double_t* dir, Double_t rmin, Double_t rmax, Double_t dz)
Int_tDistToHype(const Double_t* point, const Double_t* dir, Double_t* s, Bool_t inner, Bool_t in) const
static Double_tTGeoShape::DistToPhiMin(const Double_t* point, const 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 = "")MENU
virtual voidTObject::DrawClass() constMENU
virtual TObject*TObject::DrawClone(Option_t* option = "") constMENU
virtual voidTObject::Dump() constMENU
static Double_tTGeoShape::EpsMch()
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 Double_tTGeoBBox::GetFacetArea(Int_t index = 0) 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
const char*TGeoShape::GetPointerName() const
virtual Bool_tTGeoBBox::GetPointsOnFacet(Int_t index, Int_t npoints, Double_t* array) const
virtual Bool_tGetPointsOnSegments(Int_t, Double_t*) 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() constMENU
virtual voidInspectShape() const
voidTObject::InvertBit(UInt_t f)
voidTGeoShape::InvertShapeBit(UInt_t f)
virtual TClass*IsA() const
virtual Bool_tTGeoShape::IsAssembly() const
static Bool_tTGeoShape::IsCloseToPhi(Double_t epsil, const Double_t* point, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
virtual Bool_tTGeoShape::IsComposite() const
static Bool_tTGeoShape::IsCrossingSemiplane(const Double_t* point, const 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(const 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
static Bool_tTGeoShape::IsSameWithinTolerance(Double_t a, Double_t b)
static Bool_tTGeoShape::IsSegCrossing(Double_t x1, Double_t y1, Double_t x2, Double_t y2, Double_t x3, Double_t y3, Double_t x4, Double_t y4)
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(const Double_t* point, const Double_t* dir, Double_t* norm, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
virtual Bool_tTObject::Notify()
voidTObject::Obsolete(const char* method, const char* asOfVers, const char* removedFromVers) const
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(const Double_t* point, Bool_t in = kTRUE) const
virtual voidSafety_v(const Double_t* points, const Bool_t* inside, Double_t* safe, Int_t vecsize) const
static Double_tTGeoShape::SafetyPhi(const Double_t* point, Bool_t in, Double_t phi1, Double_t phi2)
static Double_tTGeoTube::SafetyS(const Double_t* point, Bool_t in, Double_t rmin, Double_t rmax, Double_t dz, Int_t skipz = 0)
static Double_tTGeoShape::SafetySeg(Double_t r, Double_t z, Double_t r1, Double_t z1, Double_t r2, Double_t z2, Bool_t outer)
Double_tSafetyToHype(const Double_t* point, Bool_t inner, Bool_t in) const
virtual voidTObject::SaveAs(const char* filename = "", Option_t* option = "") constMENU
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 = "")MENU
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)MENU
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 = "")MENU
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&)
virtual Int_tTNamed::Sizeof() const
virtual voidSizeof3D() const
virtual voidStreamer(TBuffer&)
voidStreamerNVirtual(TBuffer& ClassDef_StreamerNVirtual_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

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* params)
 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() const
 Computes capacity of the shape in [length^3]
void ComputeBBox()
 Compute bounding box of the hyperboloid
void ComputeNormal(const Double_t* point, const Double_t* dir, Double_t* norm)
 Compute normal to closest surface from POINT.
Bool_t Contains(const 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(const Double_t* point, const 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(const Double_t* point, const 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(const Double_t* point, const Double_t* dir, Double_t* s, Bool_t inner, Bool_t in) 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() 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 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(const 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(const 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) const
 create tube mesh points
void SetPoints(Float_t* points) const
 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() 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();
    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.
void Contains_v(const Double_t* points, Bool_t* inside, Int_t vecsize) const
 Check the inside status for each of the points in the array.
 Input: Array of point coordinates + vector size
 Output: Array of Booleans for the inside of each point
void ComputeNormal_v(const Double_t* points, const Double_t* dirs, Double_t* norms, Int_t vecsize)
 Compute the normal for an array o points so that norm.dot.dir is positive
 Input: Arrays of point coordinates and directions + vector size
 Output: Array of normal directions
void DistFromInside_v(const Double_t* points, const Double_t* dirs, Double_t* dists, Int_t vecsize, Double_t* step) const
 Compute distance from array of input points having directions specisied by dirs. Store output in dists
void DistFromOutside_v(const Double_t* points, const Double_t* dirs, Double_t* dists, Int_t vecsize, Double_t* step) const
 Compute distance from array of input points having directions specisied by dirs. Store output in dists
void Safety_v(const Double_t* points, const Bool_t* inside, Double_t* safe, Int_t vecsize) const
 Compute safe distance from each of the points in the input array.
 Input: Array of point coordinates, array of statuses for these points, size of the arrays
 Output: Safety values
TGeoHype()
 constructors
Int_t GetByteCount() const
{return 64;}
Bool_t GetPointsOnSegments(Int_t , Double_t* ) const
{return kFALSE;}
Double_t GetStIn() const
{return fStIn;}
Double_t GetStOut() const
{return fStOut;}
Bool_t HasInner() const
{return !TestShapeBit(kGeoRSeg);}
Bool_t IsCylType() const
{return kTRUE;}