Composite shapes are Boolean combinations of two or more shape components.

The supported Boolean operations are union (+), intersection (*) and subtraction(-). Composite shapes derive from the base TGeoShape** class, therefore providing all shape features: computation of bounding box, finding if a given point is inside or outside the combination, as well as computing the distance to entering/exiting. They can be directly used for creating volumes or used in the definition of other composite shapes.

Composite shapes are provided in order to complement and extend the set of basic shape primitives. They have a binary tree internal structure, therefore all shape-related geometry queries are signals propagated from top level down to the final leaves, while the provided answers are assembled and interpreted back at top. This CSG (composite solid geometry) hierarchy is effective for small number of components, while performance drops dramatically for large structures. Building a complete geometry in this style is virtually possible but highly not recommended.

The Structure of Composite Shapes

A composite shape can always be looked as the result of a Boolean operation between only two shape components. All information identifying these two components as well as their positions with respect to the frame of the composite is represented by an object called Boolean node. A composite shape has a pointer to such a Boolean node. Since the shape components may also be composites, they will also contain binary Boolean nodes branching out other two shapes in the hierarchy. Any such branch ends-up when the final leaves are no longer composite shapes, but basic primitives. The figure shows the composite shapes structure.

The composite shapes structure

Suppose that A, B, C and D represent basic shapes, we will illustrate how the internal representation of few combinations look like. We do this only for understanding how to create them in a proper way, since the user interface for this purpose is in fact very simple. We will ignore for the time being the positioning of components. The definition of a composite shape takes an expression where the identifiers are shape names. The expression is parsed and decomposed in 2 sub-expressions and the top-level Boolean operator.

Union: A+B+C

Just to illustrate the Boolean expression parsing and the composite shape structure, let's take a simple example. We will describe the union of A, B and C. Both union operators are at the same level. Since:

A+B+C = (A+B)+C = A+(B+C)

The first(+) is taken as separator, hence the expression split in: A and (B+C). A Boolean node of type **TGeoUnion**("A","B+C") is created. This tries to replace the 2 expressions by actual pointers to corresponding shapes. The first expression (A) contains no operators therefore is interpreted as representing a shape. The shape named "A" is searched into the list of shapes handled by the manager class and stored as the "left" shape in the Boolean union node. Since the second expression is not yet fully decomposed, the "right" shape in the combination is created as a new composite shape. This will split at its turn B+C into B and C and create a **TGeoUnion**("B","C"). The B and C identifiers will be looked for and replaced by the pointers to the actual shapes into the new node. Finally, the composite "`A+B+C`" will be represented as shown in Fig.17-23.**

Representation of A+B+C

To build this composite shape:

TGeoCompositeShape *cs1 = new TGeoCompositeShape("CS1","A+B+C");

TGeoCompositeShape

Composite shapes are Boolean combinations of two or more shape components.

Definition TGeoCompositeShape.h:27

TGeoCompositeShape::TGeoCompositeShape

TGeoCompositeShape()

Default constructor.

Definition TGeoCompositeShape.cxx:218

Any shape entering a Boolean combination can be prior positioned. In order to do so, one has to attach a matrix name to the shape name by using a colon (:). As for shapes, the named matrix has to be prior defined:

TGeoMatrix *mat;
// ... code creating some geometrical transformation
mat->SetName("mat1");
mat->RegisterYourself();  // see Geometrical transformations

An identifier shape:matrix have the meaning: shape is translated or rotated with matrix with respect to the Boolean combination it enters as operand. Note that in the expression A+B+C no matrix identifier was provided, therefore the identity matrix was used for positioning the shape components. The next example will illustrate a more complex case.

(A:m1+B):m2-(C:m3*D:m4):m5

Let's try to understand the expression above. This expression means: subtract the intersection of C and D from the union of A and B**. The usage of parenthesis to force the desired precedence is always recommended. One can see that not only the primitive shapes have some geometrical transformations, but also their intermediate compositions.

Internal representation for composite shapes

TGeoCompositeShape *cs2 = new TGeoCompositeShape("CS2",

"(A:m1+B):m2-(C:m3*D:m4):m5");

Building composite shapes as in the first example is not always quite useful since we were using un-positioned shapes. When supplying just shape names as identifiers, the created Boolean nodes will assume that the shapes are positioned with an identity transformation with respect to the frame of the created composite. In order to provide some positioning of the combination components, we have to attach after each shape identifier the name of an existing transformation, separated by a colon. Obviously all transformations created for this purpose have to be objects with unique names in order to be properly substituted during parsing.

Composite Shape Example

One should have in mind that the same shape or matrix identifiers can be used many times in the same expression, as in the following example:

{
   TCanvas *c = new TCanvas("c", "c",0,0,600,600);
   const Double_t sq2 = TMath::Sqrt(2.);
   TGeoManager *mgr =
      new TGeoManager("Geom","composite shape example");
   TGeoMedium *medium = 0;
   TGeoVolume *top = mgr->MakeBox("TOP",medium,100,250,250);
   mgr->SetTopVolume(top);
 
   // make shape components
   TGeoBBox *sbox  = new TGeoBBox("B",100,125*sq2,125*sq2);
   TGeoTube *stub  = new TGeoTube("T",0,100,250);
   TGeoPgon *spgon = new TGeoPgon("P",0.,360.,6,2);
   spgon->DefineSection(0,-250,0,80);
   spgon->DefineSection(1,250,0,80);
 
   // define some rotations
   TGeoRotation *r1 = new TGeoRotation("r1",90,0,0,180,90,90);
   r1->RegisterYourself();
   TGeoRotation *r2 = new TGeoRotation("r2",90,0,45,90,45,270);
   r2->RegisterYourself();
   // create a composite
   TGeoCompositeShape *cs = new TGeoCompositeShape("cs", "((T+T:r1)-(P+P:r1))*B:r2");
   TGeoVolume *comp = new TGeoVolume("COMP",cs);
   comp->SetLineColor(kRed);
 
   // put it in the top volume
   top->AddNode(comp,1);
   mgr->CloseGeometry();
   // visualize it with ray tracing
   top->Raytrace();
}

A composite shape example

Composite shapes can be subsequently used for defining volumes. Moreover, these volumes contain other volumes, following the general criteria. Volumes created based on composite shapes cannot be divided.

Definition at line 27 of file TGeoCompositeShape.h.

Public Member Functions
	TGeoCompositeShape ()
	Default constructor.

	TGeoCompositeShape (const char *expression)
	Default constructor.

	TGeoCompositeShape (const char name, const char expression)
	Default constructor.

	TGeoCompositeShape (const char name, TGeoBoolNode node)
	Constructor with a Boolean node.

	~TGeoCompositeShape () override
	destructor

Double_t	Capacity () const override
	Computes capacity of this shape [length^3] by sampling with 1% error.

void	ClearThreadData () const override
	Needed just for cleanup.

void	ComputeBBox () override
	compute bounding box of the sphere

void	ComputeNormal (const Double_t point, const Double_t dir, Double_t *norm) override
	Computes normal vector in POINT to the composite shape.

void	ComputeNormal_v (const Double_t points, const Double_t dirs, Double_t *norms, Int_t vecsize) override
	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.

Bool_t	Contains (const Double_t *point) const override
	Tests if point is inside the shape.

void	Contains_v (const Double_t points, Bool_t inside, Int_t vecsize) const override
	Check the inside status for each of the points in the array.

void	CreateThreadData (Int_t nthreads) override
	Needed just for cleanup.

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

Double_t	DistFromInside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Compute distance from inside point to outside of this composite shape.

void	DistFromInside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

Double_t	DistFromOutside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Compute distance from outside point to this composite shape.

void	DistFromOutside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

TGeoVolume *	Divide (TGeoVolume voldiv, const char divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) override
	Divide all range of iaxis in range/step cells.

TGeoBoolNode *	GetBoolNode () const

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

TGeoShape *	GetMakeRuntimeShape (TGeoShape , TGeoMatrix ) const override
	In case shape has some negative parameters, these has to be computed in order to fit the mother.

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

Int_t	GetNmeshVertices () const override
	Return number of vertices of the mesh representation.

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

void	InspectShape () const override
	print shape parameters

TClass *	IsA () const override

Bool_t	IsComposite () const override

Bool_t	IsCylType () const override

void	MakeNode (const char *expression)
	Make a boolean node according to the top level boolean operation of expression.

virtual Bool_t	PaintComposite (Option_t *option="") const
	Paint this composite shape into the current 3D viewer Returns bool flag indicating if the caller should continue to paint child objects.

void	RegisterYourself ()
	Register the shape and all components to TGeoManager class.

Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const override
	computes the closest distance from given point to this shape, according to option.

void	Safety_v (const Double_t points, const Bool_t inside, Double_t *safe, Int_t vecsize) const override
	Compute safe distance from each of the points in the input array.

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

void	SetDimensions (Double_t *) override
	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.

void	SetPoints (Double_t *points) const override
	create points for a composite shape

void	SetPoints (Float_t *points) const override
	create points for a composite shape

void	Sizeof3D () const override
	compute size of this 3D object

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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

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

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

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

	~TGeoBBox () override
	Destructor.

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

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

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

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

Int_t	GetByteCount () const override

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.

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

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.

virtual Bool_t	IsNullBox () const

Bool_t	IsValidBox () const override

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

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

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

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

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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

	TGeoShape (const char *name)
	Default constructor.

	~TGeoShape () override
	Destructor.

virtual void	AfterStreamer ()

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

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

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

Int_t	GetId () const

const char *	GetName () const override
	Get the shape name.

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

void	InvertShapeBit (UInt_t f)

TClass *	IsA () const override

virtual Bool_t	IsAssembly () const

virtual Bool_t	IsReflected () const

Bool_t	IsRunTimeShape () const

Bool_t	IsValid () const

virtual Bool_t	IsVecGeom () const

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

void	ResetShapeBit (UInt_t f)

void	SetId (Int_t id)

void	SetRuntime (Bool_t flag=kTRUE)

void	SetShapeBit (UInt_t f)

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

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

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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.

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

virtual	~TNamed ()
	TNamed destructor.

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

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

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

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

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

const char *	GetName () const override
	Returns name of object.

const char *	GetTitle () const override
	Returns title of object.

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

TClass *	IsA () const override

Bool_t	IsSortable () const override

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

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

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

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

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

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

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

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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

	TObject (const TObject &object)
	TObject copy ctor.

virtual	~TObject ()
	TObject destructor.

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

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

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

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.

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

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

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

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

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

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

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

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

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

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

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

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

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

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

virtual Option_t *	GetOption () const

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

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

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.

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

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

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

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

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const
	IsDestructed.

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

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

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

R__ALWAYS_INLINE 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).

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification (the base implementation is no-op).

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

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

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

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

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.

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

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

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

void	ResetBit (UInt_t f)

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

void	SetBit (UInt_t f)

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

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

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

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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

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.

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

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

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

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TGeoBBox
static Bool_t	AreOverlapping (const TGeoBBox box1, const TGeoMatrix mat1, const TGeoBBox box2, const TGeoMatrix mat2) R__DEPRECATED(6
	Check if 2 positioned boxes overlap.

static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

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.

static const char *	DeclFileName ()

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.

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.

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

static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

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.

static const char *	DeclFileName ()

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.

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

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

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.

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.

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].

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

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)

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.

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.

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)

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

static Double_t	Tolerance ()

Static Public Member Functions inherited from TNamed
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()
	Return destructor only flag.

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

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

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

Protected Member Functions
	TGeoCompositeShape (const TGeoCompositeShape &)=delete

TGeoCompositeShape &	operator= (const TGeoCompositeShape &)=delete

Protected Member Functions inherited from TGeoBBox
	TGeoBBox (const TGeoBBox &)=delete

void	FillBuffer3D (TBuffer3D &buffer, Int_t reqSections, Bool_t localFrame) const override
	Fills the supplied buffer, with sections in desired frame See TBuffer3D.h for explanation of sections, frame etc.

TGeoBBox &	operator= (const TGeoBBox &)=delete

Protected Member Functions inherited from TGeoShape
Int_t	GetBasicColor () const
	Get the basic color (0-7).

void	SetOnBoundary (Bool_t)

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

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).

void	MakeZombie ()

Private Attributes
TGeoBoolNode *	fNode

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

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

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

enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum	EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }

Public Attributes inherited from TGeoBBox
static Bool_t DO NOT USE !The overlap detection does not work for all	cases

static Bool_t	DEPRECATED

Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

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 <TGeoCompositeShape.h>

Inheritance diagram for TGeoCompositeShape:

[legend]

Constructor & Destructor Documentation

◆ TGeoCompositeShape() [1/5]

TGeoCompositeShape::TGeoCompositeShape ( const TGeoCompositeShape & )

protecteddelete

◆ TGeoCompositeShape() [2/5]

TGeoCompositeShape::TGeoCompositeShape ( )

Default constructor.

Definition at line 218 of file TGeoCompositeShape.cxx.

◆ TGeoCompositeShape() [3/5]

TGeoCompositeShape::TGeoCompositeShape	(	const char *	name,
		const char *	expression
	)

Default constructor.

Definition at line 227 of file TGeoCompositeShape.cxx.

◆ TGeoCompositeShape() [4/5]

TGeoCompositeShape::TGeoCompositeShape ( const char * expression )

Default constructor.

Definition at line 243 of file TGeoCompositeShape.cxx.

◆ TGeoCompositeShape() [5/5]

TGeoCompositeShape::TGeoCompositeShape	(	const char *	name,
		TGeoBoolNode *	node
	)

Constructor with a Boolean node.

Definition at line 259 of file TGeoCompositeShape.cxx.

◆ ~TGeoCompositeShape()

TGeoCompositeShape::~TGeoCompositeShape ( )

override

destructor

Definition at line 273 of file TGeoCompositeShape.cxx.

Member Function Documentation

◆ Capacity()

Double_t TGeoCompositeShape::Capacity ( ) const

overridevirtual

Computes capacity of this shape [length^3] by sampling with 1% error.

Reimplemented from TGeoBBox.

Definition at line 282 of file TGeoCompositeShape.cxx.

◆ Class()

static TClass * TGeoCompositeShape::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * TGeoCompositeShape::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t TGeoCompositeShape::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 84 of file TGeoCompositeShape.h.

◆ ClearThreadData()

void TGeoCompositeShape::ClearThreadData ( ) const

overridevirtual

Needed just for cleanup.

Reimplemented from TGeoShape.

Definition at line 200 of file TGeoCompositeShape.cxx.

◆ ComputeBBox()

void TGeoCompositeShape::ComputeBBox ( )

overridevirtual

compute bounding box of the sphere

Reimplemented from TGeoBBox.

Definition at line 305 of file TGeoCompositeShape.cxx.

◆ ComputeNormal()

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

overridevirtual

Computes normal vector in POINT to the composite shape.

Reimplemented from TGeoBBox.

Definition at line 314 of file TGeoCompositeShape.cxx.

◆ ComputeNormal_v()

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

overridevirtual

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 598 of file TGeoCompositeShape.cxx.

◆ Contains()

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

overridevirtual

Tests if point is inside the shape.

Reimplemented from TGeoBBox.

Definition at line 323 of file TGeoCompositeShape.cxx.

◆ Contains_v()

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

overridevirtual

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 587 of file TGeoCompositeShape.cxx.

◆ CreateThreadData()

void TGeoCompositeShape::CreateThreadData ( Int_t nthreads )

overridevirtual

Needed just for cleanup.

Reimplemented from TGeoShape.

Definition at line 209 of file TGeoCompositeShape.cxx.

◆ DeclFileName()

static const char * TGeoCompositeShape::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 84 of file TGeoCompositeShape.h.

◆ DistancetoPrimitive()

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

overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 333 of file TGeoCompositeShape.cxx.

◆ DistFromInside()

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

overridevirtual

Compute distance from inside point to outside of this composite shape.

Reimplemented from TGeoBBox.

Definition at line 357 of file TGeoCompositeShape.cxx.

◆ DistFromInside_v()

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

overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 607 of file TGeoCompositeShape.cxx.

◆ DistFromOutside()

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

overridevirtual

Compute distance from outside point to this composite shape.

Check if the bounding box is crossed within the requested distance

Reimplemented from TGeoBBox.

Definition at line 343 of file TGeoCompositeShape.cxx.

◆ DistFromOutside_v()

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

overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 617 of file TGeoCompositeShape.cxx.

◆ Divide()

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

overridevirtual

Divide all range of iaxis in range/step cells.

Reimplemented from TGeoBBox.

Definition at line 368 of file TGeoCompositeShape.cxx.

◆ GetBoolNode()

TGeoBoolNode * TGeoCompositeShape::GetBoolNode ( ) const

inline

Definition at line 64 of file TGeoCompositeShape.h.

◆ GetBoundingCylinder()

void TGeoCompositeShape::GetBoundingCylinder ( Double_t * param ) const

inlineoverridevirtual

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

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

Reimplemented from TGeoBBox.

Definition at line 65 of file TGeoCompositeShape.h.

◆ GetMakeRuntimeShape()

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

inlineoverridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 66 of file TGeoCompositeShape.h.

◆ GetMeshNumbers()

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

overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 378 of file TGeoCompositeShape.cxx.

◆ GetNmeshVertices()

Int_t TGeoCompositeShape::GetNmeshVertices ( ) const

overridevirtual

Return number of vertices of the mesh representation.

Reimplemented from TGeoBBox.

Definition at line 575 of file TGeoCompositeShape.cxx.

◆ GetPointsOnSegments()

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

inlineoverridevirtual

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 69 of file TGeoCompositeShape.h.

◆ InspectShape()

void TGeoCompositeShape::InspectShape ( ) const

overridevirtual

print shape parameters

Reimplemented from TGeoBBox.

Definition at line 388 of file TGeoCompositeShape.cxx.

◆ IsA()

TClass * TGeoCompositeShape::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TGeoBBox.

Definition at line 84 of file TGeoCompositeShape.h.

◆ IsComposite()

Bool_t TGeoCompositeShape::IsComposite ( ) const

inlineoverridevirtual

Reimplemented from TGeoShape.

Definition at line 71 of file TGeoCompositeShape.h.

◆ IsCylType()

Bool_t TGeoCompositeShape::IsCylType ( ) const

inlineoverridevirtual

Reimplemented from TGeoBBox.

Definition at line 72 of file TGeoCompositeShape.h.

◆ MakeNode()

void TGeoCompositeShape::MakeNode ( const char * expression )

Make a boolean node according to the top level boolean operation of expression.

Propagates signal to branches until expression is fully decomposed. printf("Making node for : %s\n", expression);

Definition at line 400 of file TGeoCompositeShape.cxx.

◆ operator=()

TGeoCompositeShape & TGeoCompositeShape::operator= ( const TGeoCompositeShape & )

protecteddelete

◆ PaintComposite()

Bool_t TGeoCompositeShape::PaintComposite ( Option_t * option = "" ) const

virtual

Paint this composite shape into the current 3D viewer Returns bool flag indicating if the caller should continue to paint child objects.

Definition at line 429 of file TGeoCompositeShape.cxx.

◆ RegisterYourself()

void TGeoCompositeShape::RegisterYourself ( )

Register the shape and all components to TGeoManager class.

Definition at line 475 of file TGeoCompositeShape.cxx.

◆ Safety()

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

overridevirtual

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 521 of file TGeoCompositeShape.cxx.

◆ Safety_v()

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

overridevirtual

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 629 of file TGeoCompositeShape.cxx.

◆ SavePrimitive()

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

overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 531 of file TGeoCompositeShape.cxx.

◆ SetDimensions()

void TGeoCompositeShape::SetDimensions ( Double_t * param )

inlineoverridevirtual

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.

Reimplemented from TGeoBBox.

Definition at line 79 of file TGeoCompositeShape.h.

◆ SetPoints() [1/2]

void TGeoCompositeShape::SetPoints ( Double_t * points ) const

overridevirtual

create points for a composite shape

Reimplemented from TGeoBBox.

Definition at line 548 of file TGeoCompositeShape.cxx.

◆ SetPoints() [2/2]

void TGeoCompositeShape::SetPoints ( Float_t * points ) const

overridevirtual

create points for a composite shape

Reimplemented from TGeoBBox.

Definition at line 557 of file TGeoCompositeShape.cxx.

◆ Sizeof3D()

void TGeoCompositeShape::Sizeof3D ( ) const

overridevirtual

compute size of this 3D object

Reimplemented from TGeoBBox.

Definition at line 566 of file TGeoCompositeShape.cxx.

◆ Streamer()

void TGeoCompositeShape::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TObject.

Reimplemented from TGeoBBox.

◆ StreamerNVirtual()

void TGeoCompositeShape::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 84 of file TGeoCompositeShape.h.

Member Data Documentation

◆ fNode

TGeoBoolNode* TGeoCompositeShape::fNode

private

Definition at line 30 of file TGeoCompositeShape.h.

Libraries for TGeoCompositeShape:

[legend]

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

geom/geom/inc/TGeoCompositeShape.h
geom/geom/src/TGeoCompositeShape.cxx

The Structure of Composite Shapes

Composite Shape Example

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TGeoCompositeShape() [1/5]

◆ TGeoCompositeShape() [2/5]

◆ TGeoCompositeShape() [3/5]

◆ TGeoCompositeShape() [4/5]

◆ TGeoCompositeShape() [5/5]

◆ ~TGeoCompositeShape()

Member Function Documentation

◆ Capacity()

◆ Class()

◆ Class_Name()

◆ Class_Version()

◆ ClearThreadData()

◆ ComputeBBox()

◆ ComputeNormal()

◆ ComputeNormal_v()

◆ Contains()

◆ Contains_v()

◆ CreateThreadData()

◆ DeclFileName()

◆ DistancetoPrimitive()

◆ DistFromInside()

◆ DistFromInside_v()

◆ DistFromOutside()

◆ DistFromOutside_v()

◆ Divide()

◆ GetBoolNode()

◆ GetBoundingCylinder()

◆ GetMakeRuntimeShape()

◆ GetMeshNumbers()

◆ GetNmeshVertices()

◆ GetPointsOnSegments()

◆ InspectShape()

◆ IsA()

◆ IsComposite()

◆ IsCylType()

◆ MakeNode()

◆ operator=()

◆ PaintComposite()

◆ RegisterYourself()

◆ Safety()

◆ Safety_v()

◆ SavePrimitive()

◆ SetDimensions()

◆ SetPoints() [1/2]

◆ SetPoints() [2/2]

◆ Sizeof3D()

◆ Streamer()

◆ StreamerNVirtual()

Member Data Documentation

◆ fNode