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TGeoCompositeShape Class Reference

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.

1. 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");
Composite shapes are Boolean combinations of two or more shape components.
TGeoCompositeShape()
Default constructor.

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:

// ... code creating some geometrical transformation
mat->SetName("mat1");
mat->RegisterYourself(); // see Geometrical transformations
Geometrical transformation package.
Definition TGeoMatrix.h:38
virtual void RegisterYourself()
Register the matrix in the current manager, which will become the owner.
virtual void SetName(const char *name)
Set the name of the TNamed.
Definition TNamed.cxx:140

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.

1. (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
"(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);
TGeoRotation *r2 = new TGeoRotation("r2",90,0,45,90,45,270);
// create a composite
TGeoCompositeShape *cs = new TGeoCompositeShape("cs", "((T+T:r1)-(P+P:r1))*B:r2");
TGeoVolume *comp = new TGeoVolume("COMP",cs);
// put it in the top volume
mgr->CloseGeometry();
// visualize it with ray tracing
top->Raytrace();
}
#define c(i)
Definition RSha256.hxx:101
@ kRed
Definition Rtypes.h:66
The Canvas class.
Definition TCanvas.h:23
Box class.
Definition TGeoBBox.h:17
TGeoBBox()
Default constructor.
Definition TGeoBBox.cxx:164
The manager class for any TGeo geometry.
Definition TGeoManager.h:44
void CloseGeometry(Option_t *option="d")
Closing geometry implies checking the geometry validity, fixing shapes with negative parameters (run-...
TGeoVolume * MakeBox(const char *name, TGeoMedium *medium, Double_t dx, Double_t dy, Double_t dz)
Make in one step a volume pointing to a box shape with given medium.
void SetTopVolume(TGeoVolume *vol)
Set the top volume and corresponding node as starting point of the geometry.
Media are used to store properties related to tracking and which are useful only when using geometry ...
Definition TGeoMedium.h:23
virtual void DefineSection(Int_t snum, Double_t z, Double_t rmin, Double_t rmax)
Defines z position of a section plane, rmin and rmax at this z.
Definition TGeoPcon.cxx:684
Polygons are defined in the same way as polycones, the difference being just that the segments betwee...
Definition TGeoPgon.h:20
Class describing rotations.
Definition TGeoMatrix.h:168
Cylindrical tube class.
Definition TGeoTube.h:17
TGeoVolume, TGeoVolumeMulti, TGeoVolumeAssembly are the volume classes.
Definition TGeoVolume.h:43
void Raytrace(Bool_t flag=kTRUE)
Draw this volume with current settings and perform raytracing in the pad.
virtual TGeoNode * AddNode(TGeoVolume *vol, Int_t copy_no, TGeoMatrix *mat=nullptr, Option_t *option="")
Add a TGeoNode to the list of nodes.
void SetLineColor(Color_t lcolor) override
Set the line color.
Double_t Sqrt(Double_t x)
Returns the square root of x.
Definition TMath.h:662
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.

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.

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.

TGeoVolumeDivide (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.

TGeoBoolNodeGetBoolNode () const

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

TGeoShapeGetMakeRuntimeShape (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

TClassIsA () 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 TBuffer3DGetBuffer3D (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_tGetOrigin () 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

TBuffer3DMakeBuffer3D () 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="")

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)

TClassIsA () 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 ("").

TObjectClone (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.

TClassIsA () const override

Bool_t IsSortable () const override

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

TNamedoperator= (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.

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 TObjectDrawClone (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 TObjectFindObject (const char *name) const
Must be redefined in derived classes.

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

virtual Option_tGetDrawOption () 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_tGetOption () 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)

TObjectoperator= (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 TClassClass ()

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)
Check if 2 positioned boxes overlap.

static TClassClass ()

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 TClassClass ()

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 TGeoMatrixGetTransform ()
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 TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName ()

Static Public Member Functions inherited from TObject
static TClassClass ()

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

TGeoCompositeShapeoperator= (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.

TGeoBBoxoperator= (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

TGeoBoolNodefNode

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 ,
}

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 ))
}

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]

## ◆ 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.

## ◆ 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.

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.

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.

## ◆ fNode

 TGeoBoolNode* TGeoCompositeShape::fNode
private

Definition at line 30 of file TGeoCompositeShape.h.

Libraries for TGeoCompositeShape:

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