Torus segment class.

A torus has 5 parameters :

R - axial radius
Rmin - inner radius
Rmax - outer radius
Phi1 - starting phi
Dphi - phi extent

{
   TCanvas *c = new TCanvas("c", "c",0,0,600,600);
   new TGeoManager("torus", "poza2");
   TGeoMaterial *mat = new TGeoMaterial("Al", 26.98,13,2.7);
   TGeoMedium *med = new TGeoMedium("MED",1,mat);
   TGeoVolume *top = gGeoManager->MakeBox("TOP",med,100,100,100);
   gGeoManager->SetTopVolume(top);
   TGeoVolume *vol = gGeoManager->MakeTorus("TORUS",med, 40,20,25,0,270);
   top->AddNode(vol,1);
   gGeoManager->CloseGeometry();
   gGeoManager->SetNsegments(30);
   top->Draw();
   TView *view = gPad->GetView();
   view->ShowAxis();
}

Definition at line 19 of file TGeoTorus.h.

Public Member Functions
	TGeoTorus ()
	Default constructor. More...

	TGeoTorus (Double_t r, Double_t rmin, Double_t rmax, Double_t phi1=0, Double_t dphi=360)
	Constructor without name. More...

	TGeoTorus (const char *name, Double_t r, Double_t rmin, Double_t rmax, Double_t phi1=0, Double_t dphi=360)
	Constructor with name. More...

	TGeoTorus (Double_t *params)
	Constructor based on an array of parameters. More...

virtual	~TGeoTorus ()

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

virtual void	ComputeBBox ()
	Compute bounding box of the torus. 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 torus. 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...

Double_t	Daxis (const Double_t pt, const Double_t dir, Double_t t) const
	Computes distance to axis of the torus from point pt + t*dir;. More...

Double_t	DDaxis (const Double_t pt, const Double_t dir, Double_t t) const
	Computes derivative w.r.t. t of the distance to axis of the torus from point pt + t*dir;. More...

Double_t	DDDaxis (const Double_t pt, const Double_t dir, Double_t t) const
	Second derivative of distance to torus axis w.r.t t. 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 torus. 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 torus. 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 torus shape belonging to volume "voldiv" into ndiv 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

Double_t	GetDphi () const

virtual TGeoShape *	GetMakeRuntimeShape (TGeoShape mother, TGeoMatrix mat) const
	Create a shape fitting 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
	Return number of vertices of the mesh representation. More...

Double_t	GetPhi1 () const

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	GetR () const

Double_t	GetRmax () const

Double_t	GetRmin () 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, according to option. 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 torus dimensions starting from a list. More...

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

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

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

void	SetTorusDimensions (Double_t r, Double_t rmin, Double_t rmax, Double_t phi1, Double_t dphi)
	Set torus dimensions. More...

virtual void	Sizeof3D () const
	fill size of this 3-D object More...

Int_t	SolveCubic (Double_t a, Double_t b, Double_t c, Double_t *x) const
	Find real solutions of the cubic equation : x^3 + ax^2 + bx + c = 0 Input: a,b,c Output: x[3] real solutions Returns number of real solutions (1 or 3) More...

Int_t	SolveQuartic (Double_t a, Double_t b, Double_t c, Double_t d, Double_t *x) const
	Find real solutions of the quartic equation : x^4 + ax^3 + bx^2 + c*x + d = 0 Input: a,b,c,d Output: x[4] - real solutions Returns number of real solutions (0 to 3) More...

Double_t	ToBoundary (const Double_t pt, const Double_t dir, Double_t r, Bool_t in) const
	Returns distance to the surface or the torus (fR,r) from a point, along a direction. More...

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

	TGeoBBox (Double_t dx, Double_t dy, Double_t dz, Double_t *origin=0)
	Constructor where half-lengths are provided. 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 param[0] - half-length in x param[1] - half-length in y param[2] - half-length in z. More...

virtual	~TGeoBBox ()
	Destructor. 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 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 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	IsNullBox () const

virtual Bool_t	IsValidBox () const

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...

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

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

virtual	~TGeoShape ()
	Destructor. More...

virtual void	AfterStreamer ()

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

virtual void	ClearThreadData () const

virtual void	CreateThreadData (Int_t)

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...

Int_t	GetId () const

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

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

void	InvertShapeBit (UInt_t f)

virtual Bool_t	IsAssembly () const

virtual Bool_t	IsComposite () const

virtual Bool_t	IsReflected () const

Bool_t	IsRunTimeShape () const

Bool_t	IsValid () const

virtual Bool_t	IsVecGeom () const

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

void	ResetShapeBit (UInt_t f)

void	SetId (Int_t id)

void	SetRuntime (Bool_t flag=kTRUE)

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

void	SetShapeBit (UInt_t f)

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

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 TString &name, const TString &title)

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

virtual	~TNamed ()

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 *	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...

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

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

Bool_t	IsOnHeap () const

Bool_t	IsZombie () const

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

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

void	SetBit (UInt_t f)

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...

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...

Protected Attributes
Double_t	fDphi

Double_t	fPhi1

Double_t	fR

Double_t	fRmax

Double_t	fRmin

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

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, kBitMask = 0x00ffffff }

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

enum	EStatusBits { kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = 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
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 ()

#include <TGeoTorus.h>

Inheritance diagram for TGeoTorus:

[legend]

Constructor & Destructor Documentation

◆ TGeoTorus() [1/4]

TGeoTorus::TGeoTorus ( )

Default constructor.

Definition at line 59 of file TGeoTorus.cxx.

◆ TGeoTorus() [2/4]

TGeoTorus::TGeoTorus	(	Double_t	r,
		Double_t	rmin,
		Double_t	rmax,
		Double_t	phi1 = `0`,
		Double_t	dphi = `360`
	)

Constructor without name.

Definition at line 72 of file TGeoTorus.cxx.

◆ TGeoTorus() [3/4]

TGeoTorus::TGeoTorus	(	const char *	name,
		Double_t	r,
		Double_t	rmin,
		Double_t	rmax,
		Double_t	phi1 = `0`,
		Double_t	dphi = `360`
	)

Constructor with name.

Definition at line 85 of file TGeoTorus.cxx.

◆ TGeoTorus() [4/4]

TGeoTorus::TGeoTorus ( Double_t * param )

Constructor based on an array of parameters.

param[0] = R
param[1] = Rmin
param[2] = Rmax
param[3] = Phi1
param[4] = Dphi

Definition at line 103 of file TGeoTorus.cxx.

◆ ~TGeoTorus()

virtual TGeoTorus::~TGeoTorus ( )

inlinevirtual

Definition at line 45 of file TGeoTorus.h.

Member Function Documentation

◆ Capacity()

Double_t TGeoTorus::Capacity ( ) const

virtual

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

Reimplemented from TGeoBBox.

Definition at line 115 of file TGeoTorus.cxx.

◆ ComputeBBox()

void TGeoTorus::ComputeBBox ( )

virtual

Compute bounding box of the torus.

Reimplemented from TGeoBBox.

Definition at line 124 of file TGeoTorus.cxx.

◆ ComputeNormal()

void TGeoTorus::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 171 of file TGeoTorus.cxx.

◆ ComputeNormal_v()

void TGeoTorus::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 1230 of file TGeoTorus.cxx.

◆ Contains()

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

virtual

Test if point is inside the torus.

check phi range

Reimplemented from TGeoBBox.

Definition at line 215 of file TGeoTorus.cxx.

◆ Contains_v()

void TGeoTorus::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 1220 of file TGeoTorus.cxx.

◆ Daxis()

Double_t TGeoTorus::Daxis	(	const Double_t *	pt,
		const Double_t *	dir,
		Double_t	t
	)		const

Computes distance to axis of the torus from point pt + t*dir;.

Definition at line 247 of file TGeoTorus.cxx.

◆ DDaxis()

Double_t TGeoTorus::DDaxis	(	const Double_t *	pt,
		const Double_t *	dir,
		Double_t	t
	)		const

Computes derivative w.r.t. t of the distance to axis of the torus from point pt + t*dir;.

Definition at line 258 of file TGeoTorus.cxx.

◆ DDDaxis()

Double_t TGeoTorus::DDDaxis	(	const Double_t *	pt,
		const Double_t *	dir,
		Double_t	t
	)		const

Second derivative of distance to torus axis w.r.t t.

Definition at line 273 of file TGeoTorus.cxx.

◆ DistancetoPrimitive()

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

virtual

Compute closest distance from point px,py to each vertex.

Reimplemented from TGeoBBox.

Definition at line 235 of file TGeoTorus.cxx.

◆ DistFromInside()

Double_t TGeoTorus::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 torus.

Reimplemented from TGeoBBox.

Definition at line 291 of file TGeoTorus.cxx.

◆ DistFromInside_v()

void TGeoTorus::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 1238 of file TGeoTorus.cxx.

◆ DistFromOutside()

Double_t TGeoTorus::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 torus.

Reimplemented from TGeoBBox.

Definition at line 330 of file TGeoTorus.cxx.

◆ DistFromOutside_v()

void TGeoTorus::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 1246 of file TGeoTorus.cxx.

◆ Divide()

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

virtual

Divide this torus shape belonging to volume "voldiv" into ndiv volumes called divname, from start position with the given step.

Reimplemented from TGeoBBox.

Definition at line 445 of file TGeoTorus.cxx.

◆ GetAxisName()

const char * TGeoTorus::GetAxisName ( Int_t iaxis ) const

virtual

Returns name of axis IAXIS.

Reimplemented from TGeoBBox.

Definition at line 454 of file TGeoTorus.cxx.

◆ GetAxisRange()

Double_t TGeoTorus::GetAxisRange	(	Int_t	iaxis,
		Double_t &	xlo,
		Double_t &	xhi
	)		const

virtual

Get range of shape for a given axis.

Reimplemented from TGeoBBox.

Definition at line 471 of file TGeoTorus.cxx.

◆ GetBoundingCylinder()

void TGeoTorus::GetBoundingCylinder ( Double_t * param ) const

virtual

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

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

Reimplemented from TGeoBBox.

Definition at line 498 of file TGeoTorus.cxx.

◆ GetBuffer3D()

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

virtual

Fills a static 3D buffer and returns a reference.

Reimplemented from TGeoBBox.

Definition at line 1171 of file TGeoTorus.cxx.

◆ GetByteCount()

virtual Int_t TGeoTorus::GetByteCount ( ) const

inlinevirtual

Reimplemented from TGeoBBox.

Definition at line 66 of file TGeoTorus.h.

◆ GetDphi()

Double_t TGeoTorus::GetDphi ( ) const

inline

Definition at line 75 of file TGeoTorus.h.

◆ GetMakeRuntimeShape()

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

virtual

Create a shape fitting the mother.

Reimplemented from TGeoBBox.

Definition at line 509 of file TGeoTorus.cxx.

◆ GetMeshNumbers()

void TGeoTorus::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 1148 of file TGeoTorus.cxx.

◆ GetNmeshVertices()

Int_t TGeoTorus::GetNmeshVertices ( ) const

virtual

Return number of vertices of the mesh representation.

Reimplemented from TGeoBBox.

Definition at line 911 of file TGeoTorus.cxx.

◆ GetPhi1()

Double_t TGeoTorus::GetPhi1 ( ) const

inline

Definition at line 74 of file TGeoTorus.h.

◆ GetPointsOnSegments()

virtual Bool_t TGeoTorus::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 70 of file TGeoTorus.h.

◆ GetR()

Double_t TGeoTorus::GetR ( ) const

inline

Definition at line 71 of file TGeoTorus.h.

◆ GetRmax()

Double_t TGeoTorus::GetRmax ( ) const

inline

Definition at line 73 of file TGeoTorus.h.

◆ GetRmin()

Double_t TGeoTorus::GetRmin ( ) const

inline

Definition at line 72 of file TGeoTorus.h.

◆ InspectShape()

void TGeoTorus::InspectShape ( ) const

virtual

print shape parameters

Reimplemented from TGeoBBox.

Definition at line 519 of file TGeoTorus.cxx.

◆ IsCylType()

virtual Bool_t TGeoTorus::IsCylType ( ) const

inlinevirtual

Reimplemented from TGeoBBox.

Definition at line 77 of file TGeoTorus.h.

◆ MakeBuffer3D()

TBuffer3D * TGeoTorus::MakeBuffer3D ( ) const

virtual

Creates a TBuffer3D describing this shape.

Coordinates are in local reference frame.

Reimplemented from TGeoBBox.

Definition at line 535 of file TGeoTorus.cxx.

◆ Safety()

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

virtual

computes the closest distance from given point to this shape, according to option.

The matching point on the shape is stored in spoint.

Reimplemented from TGeoBBox.

Definition at line 727 of file TGeoTorus.cxx.

◆ Safety_v()

void TGeoTorus::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 1256 of file TGeoTorus.cxx.

◆ SavePrimitive()

void TGeoTorus::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 755 of file TGeoTorus.cxx.

◆ SetDimensions()

void TGeoTorus::SetDimensions ( Double_t * param )

virtual

Set torus dimensions starting from a list.

Reimplemented from TGeoBBox.

Definition at line 785 of file TGeoTorus.cxx.

◆ SetPoints() [1/2]

void TGeoTorus::SetPoints ( Double_t * points ) const

virtual

Create torus mesh points.

Reimplemented from TGeoBBox.

Definition at line 793 of file TGeoTorus.cxx.

◆ SetPoints() [2/2]

void TGeoTorus::SetPoints ( Float_t * points ) const

virtual

Create torus mesh points.

Reimplemented from TGeoBBox.

Definition at line 850 of file TGeoTorus.cxx.

◆ SetSegsAndPols()

void TGeoTorus::SetSegsAndPols ( TBuffer3D & buff ) const

virtual

Fill TBuffer3D structure for segments and polygons.

Reimplemented from TGeoBBox.

Definition at line 569 of file TGeoTorus.cxx.

◆ SetTorusDimensions()

void TGeoTorus::SetTorusDimensions	(	Double_t	r,
		Double_t	rmin,
		Double_t	rmax,
		Double_t	phi1,
		Double_t	dphi
	)

Set torus dimensions.

Definition at line 771 of file TGeoTorus.cxx.

◆ Sizeof3D()

void TGeoTorus::Sizeof3D ( ) const

virtual

fill size of this 3-D object

Reimplemented from TGeoBBox.

Definition at line 923 of file TGeoTorus.cxx.

◆ SolveCubic()

Int_t TGeoTorus::SolveCubic	(	Double_t	a,
		Double_t	b,
		Double_t	c,
		Double_t *	x
	)		const

Find real solutions of the cubic equation : x^3 + a*x^2 + b*x + c = 0 Input: a,b,c Output: x[3] real solutions Returns number of real solutions (1 or 3)

Definition at line 933 of file TGeoTorus.cxx.

◆ SolveQuartic()

Int_t TGeoTorus::SolveQuartic	(	Double_t	a,
		Double_t	b,
		Double_t	c,
		Double_t	d,
		Double_t *	x
	)		const

Find real solutions of the quartic equation : x^4 + a*x^3 + b*x^2 + c*x + d = 0 Input: a,b,c,d Output: x[4] - real solutions Returns number of real solutions (0 to 3)

Definition at line 975 of file TGeoTorus.cxx.

◆ ToBoundary()

Double_t TGeoTorus::ToBoundary	(	const Double_t *	pt,
		const Double_t *	dir,
		Double_t	r,
		Bool_t	in
	)		const

Returns distance to the surface or the torus (fR,r) from a point, along a direction.

Point is close enough to the boundary so that the distance to the torus is decreasing while moving along the given direction.

Definition at line 1063 of file TGeoTorus.cxx.

Member Data Documentation

◆ fDphi

Double_t TGeoTorus::fDphi

protected

Definition at line 27 of file TGeoTorus.h.

◆ fPhi1

Double_t TGeoTorus::fPhi1

protected

Definition at line 26 of file TGeoTorus.h.

◆ fR

Double_t TGeoTorus::fR

protected

Definition at line 23 of file TGeoTorus.h.

◆ fRmax

Double_t TGeoTorus::fRmax

protected

Definition at line 25 of file TGeoTorus.h.

◆ fRmin

Double_t TGeoTorus::fRmin

protected

Definition at line 24 of file TGeoTorus.h.

The documentation for this class was generated from the following files:

geom/geom/inc/TGeoTorus.h
geom/geom/src/TGeoTorus.cxx

Public Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TGeoTorus() [1/4]

◆ TGeoTorus() [2/4]

◆ TGeoTorus() [3/4]

◆ TGeoTorus() [4/4]

◆ ~TGeoTorus()

Member Function Documentation

◆ Capacity()

◆ ComputeBBox()

◆ ComputeNormal()

◆ ComputeNormal_v()

◆ Contains()

◆ Contains_v()

◆ Daxis()

◆ DDaxis()

◆ DDDaxis()

◆ DistancetoPrimitive()

◆ DistFromInside()

◆ DistFromInside_v()

◆ DistFromOutside()

◆ DistFromOutside_v()

◆ Divide()

◆ GetAxisName()

◆ GetAxisRange()

◆ GetBoundingCylinder()

◆ GetBuffer3D()

◆ GetByteCount()

◆ GetDphi()

◆ GetMakeRuntimeShape()

◆ GetMeshNumbers()

◆ GetNmeshVertices()

◆ GetPhi1()

◆ GetPointsOnSegments()

◆ GetR()

◆ GetRmax()

◆ GetRmin()

◆ InspectShape()

◆ IsCylType()

◆ MakeBuffer3D()

◆ Safety()

◆ Safety_v()

◆ SavePrimitive()

◆ SetDimensions()

◆ SetPoints() [1/2]

◆ SetPoints() [2/2]

◆ SetSegsAndPols()

◆ SetTorusDimensions()

◆ Sizeof3D()

◆ SolveCubic()

◆ SolveQuartic()

◆ ToBoundary()

Member Data Documentation

◆ fDphi

◆ fPhi1

◆ fR

◆ fRmax

◆ fRmin