TGeoCompositeShape

class TGeoCompositeShape : public TGeoBBox

    public:

                          TGeoCompositeShape()
                          TGeoCompositeShape(const char* name, const char* expression)
                          TGeoCompositeShape(const char* expression)
                          TGeoCompositeShape(const char* name, TGeoBoolNode* node)
                          TGeoCompositeShape(const TGeoCompositeShape&)
                  virtual ~TGeoCompositeShape()
           static TClass* Class()
             virtual void ComputeBBox()
             virtual void ComputeNormal(Double_t* point, Double_t* dir, Double_t* norm)
           virtual Bool_t Contains(Double_t* point) const
         virtual Double_t DistFromInside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
         virtual Double_t DistFromOutside(Double_t* point, Double_t* dir, Int_t iact = 1, Double_t step = TGeoShape::Big(), Double_t* safe = 0) const
      virtual TGeoVolume* Divide(TGeoVolume* voldiv, const char* divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step)
            TGeoBoolNode* GetBoolNode() const
             virtual void GetBoundingCylinder(Double_t*) const
       virtual TGeoShape* GetMakeRuntimeShape(TGeoShape*, TGeoMatrix*) const
            virtual Int_t GetNmeshVertices() const
             virtual void InspectShape() const
          virtual TClass* IsA() const
           virtual Bool_t IsComposite() const
           virtual Bool_t IsCylType() const
                     void MakeNode(const char* expression)
      TGeoCompositeShape& operator=(const TGeoCompositeShape&)
           virtual Bool_t PaintComposite(Option_t* option = "") const
         virtual Double_t Safety(Double_t* point, Bool_t in = kTRUE) const
             virtual void SavePrimitive(ofstream& out, Option_t* option)
             virtual void SetDimensions(Double_t*)
             virtual void SetPoints(Double_t* points) const
             virtual void SetPoints(Float_t* points) const
             virtual void ShowMembers(TMemberInspector& insp, char* parent)
             virtual void Sizeof3D() const
             virtual void Streamer(TBuffer& b)
                     void StreamerNVirtual(TBuffer& b)

Data Members

    private:

      TGeoBoolNode* fNode  top boolean node

Class Description

 TGeoCompositeShape - class handling Boolean composition of shapes

   Composite shapes are Boolean combination 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. It 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 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.

   Structure of composite shapes

   A composite shape can always be regarded 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 just have
 a pointer to such a Boolean node. Since the shape components may also be
 composites, they will also contain binary Boolean nodes branching other two
 shapes in the hierarcy. Any such branch ends-up when the final leaves are no
 longer composite shapes, but basic primitives.

   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 the sake of 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.     A+B+C
   This represent 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 splitted:
        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:

                 A
                |
   [A+B+C] = (+)             B
                |           |
                 [B+C] = (+)
                            |
                             C

 where [] is a composite shape, (+) is a Boolean node of type union and A, B,
 C are pointers to the corresponding shapes.
   Building this composite shapes takes the following line :
      TGeoCompositeShape *cs1 = new TGeoCompositeShape("CS1", "A+B+C");

 2.      (A+B)\(C+D)
   This expression means: subtract the union of C and D from the union of A and
 B. The usage of paranthesys to force operator precedence is always recommended.
 The representation of the corresponding composite shape looks like:

                                   A
                                  |
                       [A+B] = (+)
                      |           |
   [(A+B)\(C+D)] = (\)           C B
                      |         |
                       [C+D]=(+)
                                |
                                 D

      TGeoCompositeShape *cs2 = new TGeoCompositeShape("CS2", "(A+B)\(C+D)");

   Building composite shapes as in the 2 examples above is not always quite
 usefull since we were using unpositioned shapes. When suplying 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.
   Let's look at the code implementing the second example :

      TGeoTranslation *t1 = new TGeoTranslation("T1",0,0,-20);
      TGeoTranslation *t2 = new TGeoTranslation("T2",0,0, 20);
      TGeoRotation *r1 = new TGeoRotation("R1"); // transformations need names
      r1->SetAngles(90,30,90,120,0,0); // rotation with 30 degrees about Z
      TGeoTube *a = new TGeoTube(0, 10,20);
      a->SetName("A");                 // shapes need names too
      TGeoTube *b = new TGeoTube(0, 20,20);
      b->SetName("B");
      TGeoBBox *c = new TGeoBBox(10,10,50);
      c->SetName("C");
      TGeoBBox *d = new TGeoBBox(50,10,10);
      d->SetName("D");

      TGeoCompositeShape *cs;
      cs = new TGeoCompositeShape("CS", "(A:t1+B:t2)\(C+D:r1)");

   The newly created composite looks like 2 cylinders of different radii sitting
 one on top of the other and having 2 rectangular holes : a longitudinal one
 along Z axis corresponding to C and an other one in the XY plane due to D.
   One should have in mind that the same shape or matrix identifier can be
 used many times in the same expression. For instance:

      (A:t1-A:t2)*B:t1

 is a valid expression. Expressions that cannot be parsed or identifiers that
 cannot be substituted by existing objects generate error messages.
   Composite shapes can be subsequently used for defining volumes. Moreover,
 these volumes may have daughters but these have to obbey overlapping/extruding
 rules (see TGeoVolume). Volumes created based on composite shapes cannot be
 divided. Visualization of such volumes is currently not implemented.

 Default constructor

 Default constructor

 Default constructor

 Constructor with a Boolean node

 destructor

 compute bounding box of the sphere

 test if point is inside this sphere

 Compute distance from outside point to this composite shape.

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

 Divide all range of iaxis in range/step cells

 print shape parameters

 Make a booleann 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);

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

 computes the closest distance from given point to this shape, according
 to option. The matching point on the shape is stored in spoint.

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

 create points for a composite shape

 create points for a composite shape

 compute size of this 3D object

 Return number of vertices of the mesh representation

Inline Functions

              TGeoBoolNode* GetBoolNode() const
                       void GetBoundingCylinder(Double_t*) const
                 TGeoShape* GetMakeRuntimeShape(TGeoShape*, TGeoMatrix*) const
                     Bool_t IsComposite() const
                     Bool_t IsCylType() const
                       void SetDimensions(Double_t*)
                    TClass* Class()
                    TClass* IsA() const
                       void ShowMembers(TMemberInspector& insp, char* parent)
                       void Streamer(TBuffer& b)
                       void StreamerNVirtual(TBuffer& b)
         TGeoCompositeShape TGeoCompositeShape(const TGeoCompositeShape&)
        TGeoCompositeShape& operator=(const TGeoCompositeShape&)