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
```

Definition at line 17 of file TGeoParaboloid.h.

Public Member Functions
	TGeoParaboloid ()
	Dummy constructor. More...

	TGeoParaboloid (const char *name, Double_t rlo, Double_t rhi, Double_t dz)
	Default constructor specifying X and Y semiaxis length. More...

	TGeoParaboloid (Double_t *params)
	Default constructor specifying minimum and maximum radius. More...

	TGeoParaboloid (Double_t rlo, Double_t rhi, Double_t dz)
	Default constructor specifying X and Y semiaxis length. More...

virtual	~TGeoParaboloid ()
	destructor More...

virtual Double_t	Capacity () const
	Computes capacity of the shape in [length^3]. More...

virtual void	ComputeBBox ()
	compute bounding box of the tube More...

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

virtual 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. More...

virtual Bool_t	Contains (const Double_t *point) const
	test if point is inside the elliptical tube More...

virtual 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. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	compute closest distance from point px,py to each vertex More...

virtual 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 paraboloid More...

virtual 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 specified by dirs. Store output in dists. More...

virtual 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 paraboloid and safe distance More...

virtual 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 specified by dirs. Store output in dists. More...

Double_t	DistToParaboloid (const Double_t point, const Double_t dir, Bool_t in) const
	Compute distance from a point to the parabola given by: `z = arsq + b; rsq = xx+y*y` More...

virtual 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. More...

virtual void	GetBoundingCylinder (Double_t *param) const
	Fill vector param[4] with the bounding cylinder parameters. More...

virtual const TBuffer3D &	GetBuffer3D (Int_t reqSections, Bool_t localFrame) const
	Fills a static 3D buffer and returns a reference. More...

Double_t	GetDz () const

virtual 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 More...

virtual void	GetMeshNumbers (Int_t &nvert, Int_t &nsegs, Int_t &npols) const
	Returns numbers of vertices, segments and polygons composing the shape mesh. More...

virtual Int_t	GetNmeshVertices () const
	Returns number of vertices on the paraboloid mesh. More...

virtual Bool_t	GetPointsOnSegments (Int_t, Double_t *) const
	Fills array with n random points located on the line segments of the shape mesh. More...

Double_t	GetRhi () const

Double_t	GetRlo () const

virtual void	InspectShape () const
	print shape parameters More...

virtual Bool_t	IsCylType () const

virtual TBuffer3D *	MakeBuffer3D () const
	Creates a TBuffer3D describing this shape. More...

virtual Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const
	Computes the closest distance from given point to this shape. More...

virtual 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. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

virtual void	SetDimensions (Double_t *param)
	Set paraboloid dimensions starting from an array. More...

void	SetParaboloidDimensions (Double_t rlo, Double_t rhi, Double_t dz)
	Set paraboloid dimensions. More...

virtual void	SetPoints (Double_t *points) const
	Create paraboloid mesh points. More...

virtual void	SetPoints (Float_t *points) const
	Create paraboloid mesh points. More...

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

virtual void	Sizeof3D () const

Public Member Functions inherited from TGeoBBox
	TGeoBBox ()
	Default constructor. More...

	TGeoBBox (const char name, Double_t dx, Double_t dy, Double_t dz, Double_t origin=0)
	Constructor with shape name. More...

	TGeoBBox (Double_t *param)
	Constructor based on the array of parameters. More...

	TGeoBBox (Double_t dx, Double_t dy, Double_t dz, Double_t *origin=0)
	Constructor where half-lengths are provided. More...

virtual	~TGeoBBox ()
	Destructor. More...

virtual Double_t	Capacity () const
	Computes capacity of the shape in [length^3]. More...

virtual void	ComputeBBox ()
	Compute bounding box - nothing to do in this case. More...

virtual void	ComputeNormal (const Double_t point, const Double_t dir, Double_t *norm)
	Computes normal to closest surface from POINT. More...

virtual 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. More...

virtual Bool_t	Contains (const Double_t *point) const
	Test if point is inside this shape. More...

virtual 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. More...

virtual Bool_t	CouldBeCrossed (const Double_t point, const Double_t dir) const
	Decides fast if the bounding box could be crossed by a vector. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Compute closest distance from point px,py to each corner. More...

virtual 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 box. More...

virtual 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 specified by dirs. Store output in dists. More...

virtual 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 box. More...

virtual 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 specified by dirs. Store output in dists. More...

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

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

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

virtual void	GetBoundingCylinder (Double_t *param) const
	Fill vector param[4] with the bounding cylinder parameters. More...

virtual const TBuffer3D &	GetBuffer3D (Int_t reqSections, Bool_t localFrame) const
	Fills a static 3D buffer and returns a reference. More...

virtual Int_t	GetByteCount () const

virtual Double_t	GetDX () const

virtual Double_t	GetDY () const

virtual Double_t	GetDZ () const

virtual Double_t	GetFacetArea (Int_t index=0) const
	Get area in internal units of the facet with a given index. More...

virtual Int_t	GetFittingBox (const TGeoBBox parambox, TGeoMatrix mat, Double_t &dx, Double_t &dy, Double_t &dz) const
	Fills real parameters of a positioned box inside this one. Returns 0 if successful. More...

virtual 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. More...

virtual void	GetMeshNumbers (Int_t &nvert, Int_t &nsegs, Int_t &npols) const
	Returns numbers of vertices, segments and polygons composing the shape mesh. More...

virtual Int_t	GetNmeshVertices () const

virtual const Double_t *	GetOrigin () const

virtual Bool_t	GetPointsOnFacet (Int_t index, Int_t npoints, Double_t *array) const
	Fills array with n random points located on the surface of indexed facet. More...

virtual Bool_t	GetPointsOnSegments (Int_t npoints, Double_t *array) const
	Fills array with n random points located on the line segments of the shape mesh. More...

virtual void	InspectShape () const
	Prints shape parameters. More...

virtual Bool_t	IsCylType () const

virtual Bool_t	IsNullBox () const

virtual Bool_t	IsValidBox () const

virtual TBuffer3D *	MakeBuffer3D () const
	Creates a TBuffer3D describing this shape. More...

virtual Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const
	Computes the closest distance from given point to this shape. More...

virtual 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. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

void	SetBoxDimensions (Double_t dx, Double_t dy, Double_t dz, Double_t *origin=0)
	Set parameters of the box. More...

void	SetBoxPoints (Double_t *points) const
	Fill box vertices to an array. More...

virtual void	SetDimensions (Double_t *param)
	Set dimensions based on the array of parameters param[0] - half-length in x param[1] - half-length in y param[2] - half-length in z. More...

virtual void	SetPoints (Double_t *points) const
	Fill box points. More...

virtual void	SetPoints (Float_t *points) const
	Fill box points. More...

virtual void	SetSegsAndPols (TBuffer3D &buffer) const
	Fills TBuffer3D structure for segments and polygons. More...

virtual void	Sizeof3D () const

Public Member Functions inherited from TGeoShape
	TGeoShape ()
	Default constructor. More...

	TGeoShape (const char *name)
	Default constructor. More...

virtual	~TGeoShape ()
	Destructor. More...

virtual void	AfterStreamer ()

virtual Double_t	Capacity () const =0

void	CheckShape (Int_t testNo, Int_t nsamples=10000, Option_t *option="")
	Test for shape navigation methods. More...

virtual void	ClearThreadData () const

virtual void	ComputeBBox ()=0

virtual void	ComputeNormal (const Double_t point, const Double_t dir, Double_t *norm)=0

virtual void	ComputeNormal_v (const Double_t , const Double_t , Double_t *, Int_t)

virtual Bool_t	Contains (const Double_t *point) const =0

virtual void	Contains_v (const Double_t , Bool_t , Int_t) const

virtual Bool_t	CouldBeCrossed (const Double_t point, const Double_t dir) const =0

virtual void	CreateThreadData (Int_t)

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)=0
	Computes distance from point (px,py) to the object. More...

virtual 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 =0

virtual void	DistFromInside_v (const Double_t , const Double_t , Double_t , Int_t, Double_t ) const

virtual 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 =0

virtual void	DistFromOutside_v (const Double_t , const Double_t , Double_t , Int_t, Double_t ) const

virtual TGeoVolume *	Divide (TGeoVolume voldiv, const char divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step)=0

virtual void	Draw (Option_t *option="")
	Draw this shape. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute mouse actions on this shape. More...

virtual const char *	GetAxisName (Int_t iaxis) const =0

virtual Double_t	GetAxisRange (Int_t iaxis, Double_t &xlo, Double_t &xhi) const =0

virtual void	GetBoundingCylinder (Double_t *param) const =0

virtual const TBuffer3D &	GetBuffer3D (Int_t reqSections, Bool_t localFrame) const
	Stub implementation to avoid forcing implementation at this stage. More...

virtual Int_t	GetByteCount () const =0

virtual Int_t	GetFittingBox (const TGeoBBox parambox, TGeoMatrix mat, Double_t &dx, Double_t &dy, Double_t &dz) const =0

Int_t	GetId () const

virtual TGeoShape *	GetMakeRuntimeShape (TGeoShape mother, TGeoMatrix mat) const =0

virtual void	GetMeshNumbers (Int_t &, Int_t &, Int_t &) const

virtual const char *	GetName () const
	Get the shape name. More...

virtual Int_t	GetNmeshVertices () const

const char *	GetPointerName () const
	Provide a pointer name containing uid. More...

virtual Bool_t	GetPointsOnSegments (Int_t npoints, Double_t *array) const =0

virtual void	InspectShape () const =0

void	InvertShapeBit (UInt_t f)

virtual Bool_t	IsAssembly () const

virtual Bool_t	IsComposite () const

virtual Bool_t	IsCylType () const =0

virtual Bool_t	IsReflected () const

Bool_t	IsRunTimeShape () const

Bool_t	IsValid () const

virtual Bool_t	IsValidBox () const =0

virtual Bool_t	IsVecGeom () const

virtual TBuffer3D *	MakeBuffer3D () const

virtual void	Paint (Option_t *option="")
	Paint this shape. More...

void	ResetShapeBit (UInt_t f)

virtual Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const =0

virtual void	Safety_v (const Double_t , const Bool_t , Double_t *, Int_t) const

virtual void	SetDimensions (Double_t *param)=0

void	SetId (Int_t id)

virtual void	SetPoints (Double_t *points) const =0

virtual void	SetPoints (Float_t *points) const =0

void	SetRuntime (Bool_t flag=kTRUE)

virtual void	SetSegsAndPols (TBuffer3D &buff) const =0

void	SetShapeBit (UInt_t f)

void	SetShapeBit (UInt_t f, Bool_t set)
	Equivalent of TObject::SetBit. More...

Int_t	ShapeDistancetoPrimitive (Int_t numpoints, Int_t px, Int_t py) const
	Returns distance to shape primitive mesh. More...

virtual void	Sizeof3D () const =0

Bool_t	TestShapeBit (UInt_t f) const

Int_t	TestShapeBits (UInt_t f) const

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor. More...

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor. More...

virtual void	Clear (Option_t *option="")
	Set name and title to empty strings (""). More...

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects. More...

virtual void	Copy (TObject &named) const
	Copy this to obj. More...

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

virtual Bool_t	IsSortable () const

virtual void	ls (Option_t *option="") const
	List TNamed name and title. More...

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual void	SetName (const char *name)
	Set the name of the TNamed. More...

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title). More...

virtual void	SetTitle (const char *title="")
	Set the title of the TNamed. More...

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject. More...

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor. More...

	TObject (const TObject &object)
	TObject copy ctor. More...

virtual	~TObject ()
	TObject destructor. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. More...

virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...

virtual void	Clear (Option_t *="")

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method. More...

virtual void	Copy (TObject &object) const
	Copy this to obj. More...

virtual void	Delete (Option_t *option="")
	Delete this object. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad for instance with: `gROOT->SetSelectedPad(gPad)`. More...

virtual void	Dump () const
	Dump contents of object on stdout. More...

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message. More...

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...

virtual const char *	GetIconName () const
	Returns mime type name of object. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...

virtual Option_t *	GetOption () const

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. More...

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message. More...

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...

void	InvertBit (UInt_t f)

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout. More...

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...

void	operator delete (void *ptr)
	Operator delete. More...

void	operator delete[] (void *ptr)
	Operator delete []. More...

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...

virtual void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself. More...

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message. More...

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

Private Attributes
Double_t	fA

Double_t	fB

Double_t	fDz

Double_t	fRhi

Double_t	fRlo

Additional Inherited Members
Public Types inherited from TGeoShape
enum	EShapeType { kBitMask32 = 0xffffffff , kGeoNoShape = 0 , kGeoBad = BIT(0) , kGeoRSeg = BIT(1) , kGeoPhiSeg = BIT(2) , kGeoThetaSeg = BIT(3) , kGeoVisX = BIT(4) , kGeoVisY = BIT(5) , kGeoVisZ = BIT(6) , kGeoRunTimeShape = BIT(7) , kGeoInvalidShape = BIT(8) , kGeoTorus = BIT(9) , kGeoBox = BIT(10) , kGeoPara = BIT(11) , kGeoSph = BIT(12) , kGeoTube = BIT(13) , kGeoTubeSeg = BIT(14) , kGeoCone = BIT(15) , kGeoConeSeg = BIT(16) , kGeoPcon = BIT(17) , kGeoPgon = BIT(18) , kGeoArb8 = BIT(19) , kGeoEltu = BIT(20) , kGeoTrap = BIT(21) , kGeoCtub = BIT(22) , kGeoTrd1 = BIT(23) , kGeoTrd2 = BIT(24) , kGeoComb = BIT(25) , kGeoClosedShape = BIT(26) , kGeoXtru = BIT(27) , kGeoParaboloid = BIT(28) , kGeoHalfSpace = BIT(29) , kGeoHype = BIT(30) , kGeoSavePrimitive = BIT(20) }

Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) }

enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }

enum	EStatusBits { kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) , kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) }

Static Public Member Functions inherited from TGeoBBox
static Bool_t	AreOverlapping (const TGeoBBox box1, const TGeoMatrix mat1, const TGeoBBox box2, const TGeoMatrix mat2)
	Check if 2 positioned boxes overlap. More...

static Bool_t	Contains (const Double_t point, Double_t dx, Double_t dy, Double_t dz, const Double_t origin)
	Static method to check if point[3] is located inside a box of having dx, dy, dz as half-lengths. More...

static Double_t	DistFromInside (const Double_t point, const Double_t dir, Double_t dx, Double_t dy, Double_t dz, const Double_t *origin, Double_t stepmax=TGeoShape::Big())
	Compute distance from inside point to surface of the box. More...

static Double_t	DistFromOutside (const Double_t point, const Double_t dir, Double_t dx, Double_t dy, Double_t dz, const Double_t *origin, Double_t stepmax=TGeoShape::Big())
	Compute distance from outside point to surface of the box. More...

Static Public Member Functions inherited from TGeoShape
static Double_t	Big ()

static Double_t	ComputeEpsMch ()
	Compute machine round-off double precision error as the smallest number that if added to 1.0 is different than 1.0. More...

static Double_t	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)
	compute distance from point (inside phi) to both phi planes. Return minimum. More...

static Double_t	EpsMch ()
	static function returning the machine round-off error More...

static TGeoMatrix *	GetTransform ()
	Returns current transformation matrix that applies to shape. More...

static Bool_t	IsCloseToPhi (Double_t epsil, const Double_t *point, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
	True if point is closer than epsil to one of the phi planes defined by c1,s1 or c2,s2. More...

static Bool_t	IsCrossingSemiplane (const Double_t point, const Double_t dir, Double_t cphi, Double_t sphi, Double_t &snext, Double_t &rxy)
	Compute distance from POINT to semiplane defined by PHI angle along DIR. More...

static Bool_t	IsInPhiRange (const Double_t *point, Double_t phi1, Double_t phi2)
	Static method to check if a point is in the phi range (phi1, phi2) [degrees]. More...

static Bool_t	IsSameWithinTolerance (Double_t a, Double_t b)
	Check if two numbers differ with less than a tolerance. More...

static Bool_t	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)
	Check if segments (A,B) and (C,D) are crossing, where: A(x1,y1), B(x2,y2), C(x3,y3), D(x4,y4) More...

static void	NormalPhi (const Double_t point, const Double_t dir, Double_t *norm, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
	Static method to compute normal to phi planes. More...

static Double_t	SafetyPhi (const Double_t *point, Bool_t in, Double_t phi1, Double_t phi2)
	Static method to compute safety w.r.t a phi corner defined by cosines/sines of the angles phi1, phi2. More...

static Double_t	SafetySeg (Double_t r, Double_t z, Double_t r1, Double_t z1, Double_t r2, Double_t z2, Bool_t outer)
	Compute distance from point of coordinates (r,z) to segment (r1,z1):(r2,z2) More...

static void	SetTransform (TGeoMatrix *matrix)
	Set current transformation matrix that applies to shape. More...

static Double_t	Tolerance ()

Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...

static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...

Protected Member Functions inherited from TGeoBBox
virtual void	FillBuffer3D (TBuffer3D &buffer, Int_t reqSections, Bool_t localFrame) const
	Fills the supplied buffer, with sections in desired frame See TBuffer3D.h for explanation of sections, frame etc. More...

Protected Member Functions inherited from TGeoShape
virtual void	FillBuffer3D (TBuffer3D &buffer, Int_t reqSections, Bool_t localFrame) const
	Fill the supplied buffer, with sections in desired frame See TBuffer3D.h for explanation of sections, frame etc. More...

Int_t	GetBasicColor () const
	Get the basic color (0-7). More...

void	SetOnBoundary (Bool_t)

void	TransformPoints (Double_t *points, UInt_t NbPoints) const
	Tranform a set of points (LocalToMaster) More...

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

void	MakeZombie ()

Protected Attributes inherited from TGeoBBox
Double_t	fDX

Double_t	fDY

Double_t	fDZ

Double_t	fOrigin [3]

Protected Attributes inherited from TGeoShape
UInt_t	fShapeBits

Int_t	fShapeId

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

#include <TGeoParaboloid.h>

Inheritance diagram for TGeoParaboloid:

[legend]

Constructor & Destructor Documentation

◆ TGeoParaboloid() [1/4]

TGeoParaboloid::TGeoParaboloid ( )

Dummy constructor.

Definition at line 47 of file TGeoParaboloid.cxx.

◆ TGeoParaboloid() [2/4]

TGeoParaboloid::TGeoParaboloid	(	Double_t	rlo,
		Double_t	rhi,
		Double_t	dz
	)

Default constructor specifying X and Y semiaxis length.

Definition at line 60 of file TGeoParaboloid.cxx.

◆ TGeoParaboloid() [3/4]

TGeoParaboloid::TGeoParaboloid	(	const char *	name,
		Double_t	rlo,
		Double_t	rhi,
		Double_t	dz
	)

Default constructor specifying X and Y semiaxis length.

Definition at line 76 of file TGeoParaboloid.cxx.

◆ TGeoParaboloid() [4/4]

TGeoParaboloid::TGeoParaboloid ( Double_t * param )

Default constructor specifying minimum and maximum radius.

param[0] = rlo
param[1] = rhi
param[2] = dz

Definition at line 95 of file TGeoParaboloid.cxx.

◆ ~TGeoParaboloid()

TGeoParaboloid::~TGeoParaboloid ( )

virtual

destructor

Definition at line 105 of file TGeoParaboloid.cxx.

Member Function Documentation

◆ Capacity()

Double_t TGeoParaboloid::Capacity ( ) const

virtual

Computes capacity of the shape in [length^3].

Reimplemented from TGeoBBox.

Definition at line 112 of file TGeoParaboloid.cxx.

◆ ComputeBBox()

void TGeoParaboloid::ComputeBBox ( )

virtual

compute bounding box of the tube

Reimplemented from TGeoBBox.

Definition at line 121 of file TGeoParaboloid.cxx.

◆ ComputeNormal()

void TGeoParaboloid::ComputeNormal	(	const Double_t *	point,
		const Double_t *	dir,
		Double_t *	norm
	)

virtual

Compute normal to closest surface from POINT.

Reimplemented from TGeoBBox.

Definition at line 131 of file TGeoParaboloid.cxx.

◆ ComputeNormal_v()

void TGeoParaboloid::ComputeNormal_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	norms,
		Int_t	vecsize
	)

virtual

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.

Reimplemented from TGeoBBox.

Definition at line 676 of file TGeoParaboloid.cxx.

◆ Contains()

Bool_t TGeoParaboloid::Contains ( const Double_t * point ) const

virtual

test if point is inside the elliptical tube

Reimplemented from TGeoBBox.

Definition at line 164 of file TGeoParaboloid.cxx.

◆ Contains_v()

void TGeoParaboloid::Contains_v	(	const Double_t *	points,
		Bool_t *	inside,
		Int_t	vecsize
	)		const

virtual

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

Reimplemented from TGeoBBox.

Definition at line 666 of file TGeoParaboloid.cxx.

◆ DistancetoPrimitive()

Int_t TGeoParaboloid::DistancetoPrimitive	(	Int_t	px,
		Int_t	py
	)

virtual

compute closest distance from point px,py to each vertex

Reimplemented from TGeoBBox.

Definition at line 177 of file TGeoParaboloid.cxx.

◆ DistFromInside()

Double_t TGeoParaboloid::DistFromInside	(	const Double_t *	point,
		const Double_t *	dir,
		Int_t	iact = `1`,
		Double_t	step = `TGeoShape::Big()`,
		Double_t *	safe = `0`
	)		const

virtual

compute distance from inside point to surface of the paraboloid

Reimplemented from TGeoBBox.

Definition at line 227 of file TGeoParaboloid.cxx.

◆ DistFromInside_v()

void TGeoParaboloid::DistFromInside_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	dists,
		Int_t	vecsize,
		Double_t *	step
	)		const

virtual

Compute distance from array of input points having directions specified by dirs. Store output in dists.

Reimplemented from TGeoBBox.

Definition at line 684 of file TGeoParaboloid.cxx.

◆ DistFromOutside()

Double_t TGeoParaboloid::DistFromOutside	(	const Double_t *	point,
		const Double_t *	dir,
		Int_t	iact = `1`,
		Double_t	step = `TGeoShape::Big()`,
		Double_t *	safe = `0`
	)		const

virtual

compute distance from outside point to surface of the paraboloid and safe distance

Reimplemented from TGeoBBox.

Definition at line 249 of file TGeoParaboloid.cxx.

◆ DistFromOutside_v()

void TGeoParaboloid::DistFromOutside_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	dists,
		Int_t	vecsize,
		Double_t *	step
	)		const

virtual

Compute distance from array of input points having directions specified by dirs. Store output in dists.

Reimplemented from TGeoBBox.

Definition at line 692 of file TGeoParaboloid.cxx.

◆ DistToParaboloid()

Double_t TGeoParaboloid::DistToParaboloid	(	const Double_t *	point,
		const Double_t *	dir,
		Bool_t	in
	)		const

Compute distance from a point to the parabola given by: z = a*rsq + b; rsq = x*x+y*y

Definition at line 188 of file TGeoParaboloid.cxx.

◆ Divide()

TGeoVolume * TGeoParaboloid::Divide	(	TGeoVolume *	voldiv,
		const char *	divname,
		Int_t	iaxis,
		Int_t	ndiv,
		Double_t	start,
		Double_t	step
	)

virtual

Divide the paraboloid along one axis.

Reimplemented from TGeoBBox.

Definition at line 284 of file TGeoParaboloid.cxx.

◆ GetBoundingCylinder()

void TGeoParaboloid::GetBoundingCylinder ( Double_t * param ) const

virtual

Fill vector param[4] with the bounding cylinder parameters.

The order is the following : Rmin, Rmax, Phi1, Phi2

Reimplemented from TGeoBBox.

Definition at line 295 of file TGeoParaboloid.cxx.

◆ GetBuffer3D()

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

virtual

Fills a static 3D buffer and returns a reference.

Reimplemented from TGeoBBox.

Definition at line 635 of file TGeoParaboloid.cxx.

◆ GetDz()

Double_t TGeoParaboloid::GetDz ( ) const

inline

Definition at line 53 of file TGeoParaboloid.h.

◆ GetMakeRuntimeShape()

TGeoShape * TGeoParaboloid::GetMakeRuntimeShape	(	TGeoShape *	mother,
		TGeoMatrix *	mat
	)		const

virtual

in case shape has some negative parameters, these has to be computed in order to fit the mother

Reimplemented from TGeoBBox.

Definition at line 308 of file TGeoParaboloid.cxx.

◆ GetMeshNumbers()

void TGeoParaboloid::GetMeshNumbers	(	Int_t &	nvert,
		Int_t &	nsegs,
		Int_t &	npols
	)		const

virtual

Returns numbers of vertices, segments and polygons composing the shape mesh.

Reimplemented from TGeoBBox.

Definition at line 548 of file TGeoParaboloid.cxx.

◆ GetNmeshVertices()

Int_t TGeoParaboloid::GetNmeshVertices ( ) const

virtual

Returns number of vertices on the paraboloid mesh.

Reimplemented from TGeoBBox.

Definition at line 559 of file TGeoParaboloid.cxx.

◆ GetPointsOnSegments()

virtual Bool_t TGeoParaboloid::GetPointsOnSegments	(	Int_t	npoints,
		Double_t *	array
	)		const

inlinevirtual

Fills array with n random points located on the line segments of the shape mesh.

The output array must be provided with a length of minimum 3*npoints. Returns true if operation is implemented.

Reimplemented from TGeoBBox.

Definition at line 59 of file TGeoParaboloid.h.

◆ GetRhi()

Double_t TGeoParaboloid::GetRhi ( ) const

inline

Definition at line 52 of file TGeoParaboloid.h.

◆ GetRlo()

Double_t TGeoParaboloid::GetRlo ( ) const

inline

Definition at line 51 of file TGeoParaboloid.h.

◆ InspectShape()

void TGeoParaboloid::InspectShape ( ) const

virtual

print shape parameters

Reimplemented from TGeoBBox.

Definition at line 316 of file TGeoParaboloid.cxx.

◆ IsCylType()

virtual Bool_t TGeoParaboloid::IsCylType ( ) const

inlinevirtual

Reimplemented from TGeoBBox.

Definition at line 61 of file TGeoParaboloid.h.

◆ MakeBuffer3D()

TBuffer3D * TGeoParaboloid::MakeBuffer3D ( ) const

virtual

Creates a TBuffer3D describing this shape.

Coordinates are in local reference frame.

Reimplemented from TGeoBBox.

Definition at line 330 of file TGeoParaboloid.cxx.

◆ Safety()

Double_t TGeoParaboloid::Safety	(	const Double_t *	point,
		Bool_t	in = `kTRUE`
	)		const

virtual

Computes the closest distance from given point to this shape.

Reimplemented from TGeoBBox.

Definition at line 425 of file TGeoParaboloid.cxx.

◆ Safety_v()

void TGeoParaboloid::Safety_v	(	const Double_t *	points,
		const Bool_t *	inside,
		Double_t *	safe,
		Int_t	vecsize
	)		const

virtual

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

Reimplemented from TGeoBBox.

Definition at line 702 of file TGeoParaboloid.cxx.

◆ SavePrimitive()

void TGeoParaboloid::SavePrimitive	(	std::ostream &	out,
		Option_t *	option = `""`
	)

virtual

Save a primitive as a C++ statement(s) on output stream "out".

Reimplemented from TGeoBBox.

Definition at line 568 of file TGeoParaboloid.cxx.

◆ SetDimensions()

void TGeoParaboloid::SetDimensions ( Double_t * param )

virtual

Set paraboloid dimensions starting from an array.

Reimplemented from TGeoBBox.

Definition at line 473 of file TGeoParaboloid.cxx.

◆ SetParaboloidDimensions()

void TGeoParaboloid::SetParaboloidDimensions	(	Double_t	rlo,
		Double_t	rhi,
		Double_t	dz
	)

Set paraboloid dimensions.

Definition at line 455 of file TGeoParaboloid.cxx.

◆ SetPoints() [1/2]

void TGeoParaboloid::SetPoints ( Double_t * points ) const

virtual

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]

Reimplemented from TGeoBBox.

Definition at line 500 of file TGeoParaboloid.cxx.

◆ SetPoints() [2/2]

void TGeoParaboloid::SetPoints ( Float_t * points ) const

virtual

Create paraboloid mesh points.

Reimplemented from TGeoBBox.

Definition at line 582 of file TGeoParaboloid.cxx.

◆ SetSegsAndPols()

void TGeoParaboloid::SetSegsAndPols ( TBuffer3D & buff ) const

virtual

Fill TBuffer3D structure for segments and polygons.

Reimplemented from TGeoBBox.

Definition at line 352 of file TGeoParaboloid.cxx.

◆ Sizeof3D()

void TGeoParaboloid::Sizeof3D ( ) const

virtual

Reimplemented from TGeoBBox.

Definition at line 628 of file TGeoParaboloid.cxx.

Member Data Documentation

◆ fA

Double_t TGeoParaboloid::fA

private

Definition at line 23 of file TGeoParaboloid.h.

◆ fB

Double_t TGeoParaboloid::fB

private

Definition at line 24 of file TGeoParaboloid.h.

◆ fDz

Double_t TGeoParaboloid::fDz

private

Definition at line 22 of file TGeoParaboloid.h.

◆ fRhi

Double_t TGeoParaboloid::fRhi

private

Definition at line 21 of file TGeoParaboloid.h.

◆ fRlo

Double_t TGeoParaboloid::fRlo

private

Definition at line 20 of file TGeoParaboloid.h.

Libraries for TGeoParaboloid:

[legend]

Public Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TGeoParaboloid() [1/4]

◆ TGeoParaboloid() [2/4]

◆ TGeoParaboloid() [3/4]

◆ TGeoParaboloid() [4/4]

◆ ~TGeoParaboloid()

Member Function Documentation

◆ Capacity()

◆ ComputeBBox()

◆ ComputeNormal()

◆ ComputeNormal_v()

◆ Contains()

◆ Contains_v()

◆ DistancetoPrimitive()

◆ DistFromInside()

◆ DistFromInside_v()

◆ DistFromOutside()

◆ DistFromOutside_v()

◆ DistToParaboloid()

◆ Divide()

◆ GetBoundingCylinder()

◆ GetBuffer3D()

◆ GetDz()

◆ GetMakeRuntimeShape()

◆ GetMeshNumbers()

◆ GetNmeshVertices()

◆ GetPointsOnSegments()

◆ GetRhi()

◆ GetRlo()

◆ InspectShape()

◆ IsCylType()

◆ MakeBuffer3D()

◆ Safety()

◆ Safety_v()

◆ SavePrimitive()

◆ SetDimensions()

◆ SetParaboloidDimensions()

◆ SetPoints() [1/2]

◆ SetPoints() [2/2]

◆ SetSegsAndPols()

◆ Sizeof3D()

Member Data Documentation

◆ fA

◆ fB

◆ fDz

◆ fRhi

◆ fRlo