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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)

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)
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()
static Double_tTGeoShape::ComputeEpsMch()
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
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*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
virtual Bool_tGetPointsOnSegments(Int_t, Double_t*) 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
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(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
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
voidTGeoShape::TransformPoints(Double_t* points, UInt_t NbPoints) const

Data Members

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

 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
Double_t Capacity() const
 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() 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 = 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() const
 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() const
   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.
Double_t GetRlo() const
{return fRlo;}
Double_t GetRhi() const
{return fRhi;}
Double_t GetDz() const
{return fDz;}
Bool_t GetPointsOnSegments(Int_t , Double_t* ) const
{return kFALSE;}
Bool_t IsCylType() const
{return kTRUE;}