class TGeoParaboloid: public TGeoBBox

 TGeoParaboloid - Paraboloid  class. A paraboloid is the solid bounded by
            the following surfaces:
            - 2 planes parallel with XY cutting the Z axis at Z=-dz and Z=+dz
            - the surface of revolution of a parabola described by:
                 z = a*(x*x + y*y) + b
       The parameters a and b are automatically computed from:
            - rlo - the radius of the circle of intersection between the
              parabolic surface and the plane z = -dz
            - rhi - the radius of the circle of intersection between the
              parabolic surface and the plane z = +dz
         | -dz = a*rlo*rlo + b
         |  dz = a*rhi*rhi + b      where: rlo != rhi, both >= 0

Function Members (Methods)

public:
TGeoParaboloid()
TGeoParaboloid(Double_t* params)
TGeoParaboloid(const TGeoParaboloid&)
TGeoParaboloid(Double_t rlo, Double_t rhi, Double_t dz)
TGeoParaboloid(const char* name, Double_t rlo, Double_t rhi, Double_t dz)
virtual~TGeoParaboloid()
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)
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 = "")MENU
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
virtual Double_tDistFromOutside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
Double_tDistToParaboloid(Double_t* point, Double_t* dir) 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)
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
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*TGeoBBox::GetAxisName(Int_t iaxis) const
virtual Double_tTGeoBBox::GetAxisRange(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_tTGeoBBox::GetByteCount() const
virtual Option_t*TObject::GetDrawOption() const
static Long_tTObject::GetDtorOnly()
virtual Double_tTGeoBBox::GetDX() const
virtual Double_tTGeoBBox::GetDY() const
Double_tGetDz() 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
char*TGeoShape::GetPointerName() const
virtual Bool_tTGeoBBox::GetPointsOnFacet(Int_t index, Int_t npoints, Double_t* array) const
Double_tGetRhi() const
Double_tGetRlo() 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
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
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)
TGeoParaboloid&operator=(const TGeoParaboloid&)
virtual voidTGeoShape::Paint(Option_t* option = "")
virtual voidTObject::Pop()
virtual voidTNamed::Print(Option_t* option = "") 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)
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)
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)
voidSetParaboloidDimensions(Double_t rlo, Double_t rhi, Double_t dz)
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)
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
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
TStringTNamed::fNameobject identifier
Double_tTGeoBBox::fOrigin[3]box origin
UInt_tTGeoShape::fShapeBitsshape bits
Int_tTGeoShape::fShapeIdshape id
TStringTNamed::fTitleobject title
private:
Double_tfAquadratic coeff.
Double_tfBZ value of parabola at x=y=0
Double_tfDzrange on Z axis [-dz, dz]
Double_tfRhiradius at z=+dz
Double_tfRloradius at z=-dz

Class Charts

Inheritance Inherited Members Includes Libraries
Class Charts

Function documentation

TGeoParaboloid()
 Dummy constructor
TGeoParaboloid(Double_t rlo, Double_t rhi, Double_t dz)
 Default constructor specifying X and Y semiaxis length
TGeoParaboloid(const char* name, Double_t rlo, Double_t rhi, Double_t dz)
 Default constructor specifying X and Y semiaxis length
TGeoParaboloid(Double_t *param)
 Default constructor specifying minimum and maximum radius
 param[0] =  rlo
 param[1] =  rhi
 param[2] = dz
~TGeoParaboloid()
 destructor
Double_t Capacity()
 Computes capacity of the shape in [length^3]
void ComputeBBox()
 compute bounding box of the tube
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 elliptical tube
Int_t DistancetoPrimitive(Int_t px, Int_t py)
 compute closest distance from point px,py to each vertex
Double_t DistToParaboloid(Double_t* point, Double_t* dir) const
 Compute distance from a point to the parabola given by:
  z = a*rsq + b;   rsq = x*x+y*y
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 paraboloid
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 paraboloid and safe distance
TGeoVolume * Divide(TGeoVolume* voldiv, const char* divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step)
 Divide the paraboloid along one 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
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 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.
void SetParaboloidDimensions(Double_t rlo, Double_t rhi, Double_t dz)
 Set paraboloid dimensions.
void SetDimensions(Double_t* param)
 Set paraboloid dimensions starting from an array.
void SetPoints(Double_t *points)
 Create paraboloid mesh points.
 Npoints = n*(n+1) + 2
   ifirst = 0
   ipoint(i,j) = 1+i*n+j;                              i=[0,n]  j=[0,n-1]
   ilast = 1+n*(n+1)
 Nsegments = n*(2*n+3)
   lower: (0, j+1);                                    j=[0,n-1]
   circle(i): (n*i+1+j, n*i+1+(j+1)%n);                i=[0,n]  j=[0,n-1]
   generator(i): (n*i+1+j, n*(i+1)+1+j);               i,j=[0,n-1]
   upper: (n*n+1+j, (n+1)*n+1)                           j=[0,n-1]
 Npolygons = n*(n+2)
   lower: (n+j, (j+1)%n, j)                              j=[0,n-1]
   lateral(i): ((2*i+1)*n+j, 2*(i+1)*n+j, (2*i+3)*n+j, 2*(i+1)*n+(j+1)%n)
                                                      i,j = [0,n-1]
   upper: ((2n+1)*n+j, 2*n*(n+1)+(j+1)%n, 2*n*(n+1)+j)   j=[0,n-1]
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()
 Returns number of vertices on the paraboloid mesh.
void SavePrimitive(ostream& out, Option_t* option = "")
 Save a primitive as a C++ statement(s) on output stream "out".
void SetPoints(Float_t *points)
 Create paraboloid mesh points.
void Sizeof3D()
   Int_t n = gGeoManager->GetNsegments();
   TVirtualGeoPainter *painter = gGeoManager->GetGeomPainter();
   if (painter) painter->AddSize3D(n*(n+1)+2, n*(2*n+3), n*(n+2));
const TBuffer3D & GetBuffer3D(Int_t reqSections, Bool_t localFrame) const
 Fills a static 3D buffer and returns a reference.
TGeoParaboloid()
 constructors
Double_t GetRlo()
{return fRlo;}
Double_t GetRhi()
{return fRhi;}
Double_t GetDz()
{return fDz;}
Bool_t IsCylType()
{return kTRUE;}

Author: Mihaela Gheata 20/06/04
Last change: root/geom:$Id: TGeoParaboloid.h 21425 2007-12-17 15:59:27Z brun $
Last generated: 2008-06-25 08:45
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *

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