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TGeoArb8 Class Reference

An arbitrary trapezoid with less than 8 vertices standing on two parallel planes perpendicular to Z axis.

An Arb8 is defined by two quadrilaterals sitting on parallel planes, at dZ. These are defined each by 4 vertices having the coordinates (Xi,Yi,+/-dZ),i=0,3. The lateral surface of the Arb8 is defined by the 4 pairs of edges corresponding to vertices (i,i+1) on both -dZ and +dZ. If M and M' are the middles of the segments (i,i+1) at -dZ and +dZ, a lateral surface is obtained by sweeping the edge at -dZ along MM' so that it will match the corresponding one at +dZ. Since the points defining the edges are arbitrary, the lateral surfaces are not necessary planes - but twisted planes having a twist angle linear-dependent on Z.

TGeoArb8()
Default constructor.
Definition TGeoArb8.cxx:166
  • dz: half-length in Z;
  • ivert = [0,7]

Vertices have to be defined clockwise in the XY pane, both at +dz and -dz. The quadrilateral at -dz is defined by indices [0,3], whereas the one at +dz by vertices [4,7]. The vertex with index=7 has to be defined last, since it triggers the computation of the bounding box of the shape. Any two or more vertices in each Z plane can have the same (X,Y) coordinates. It this case, the top and bottom quadrilaterals become triangles, segments or points. The lateral surfaces are not necessary defined by a pair of segments, but by pair segment-point (making a triangle) or point-point (making a line). Any choice is valid as long as at one of the end-caps is at least a triangle.

Definition at line 17 of file TGeoArb8.h.

Public Member Functions

 TGeoArb8 ()
 Default constructor.
 
 TGeoArb8 (const char *name, Double_t dz, Double_t *vertices=nullptr)
 Named constructor.
 
 TGeoArb8 (Double_t dz, Double_t *vertices=nullptr)
 Constructor.
 
 ~TGeoArb8 () override
 Destructor.
 
Double_t Capacity () const override
 Computes capacity of the shape in [length^3].
 
void ComputeBBox () override
 Computes bounding box for an Arb8 shape.
 
void ComputeNormal (const Double_t *point, const Double_t *dir, Double_t *norm) override
 Compute normal to closest surface from POINT.
 
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.
 
void ComputeTwist ()
 Computes tangents of twist angles (angles between projections on XY plane of corresponding -dz +dz edges).
 
Bool_t Contains (const Double_t *point) const override
 Test if point is inside this 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.
 
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 surface of the 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
 Computes distance from outside point to surface of the 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.
 
Double_t DistToPlane (const Double_t *point, const Double_t *dir, Int_t ipl, Bool_t in) const
 Computes distance to plane ipl :
 
TGeoVolumeDivide (TGeoVolume *voldiv, const char *divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) override
 Divide this shape along one axis.
 
Double_t GetAxisRange (Int_t iaxis, Double_t &xlo, Double_t &xhi) const override
 Get shape range on a given axis.
 
void GetBoundingCylinder (Double_t *param) const override
 Fill vector param[4] with the bounding cylinder parameters.
 
Int_t GetByteCount () const override
 
Double_t GetClosestEdge (const Double_t *point, Double_t *vert, Int_t &isegment) const
 Get index of the edge of the quadrilater represented by vert closest to point.
 
Double_t GetDz () const
 
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 arb8. Returns 0 if successful.
 
TGeoShapeGetMakeRuntimeShape (TGeoShape *, TGeoMatrix *) const override
 
Bool_t GetPointsOnFacet (Int_t, Int_t, Double_t *) const override
 Fills array with n random points located on the surface of indexed facet.
 
Double_t GetTwist (Int_t iseg) const
 Get twist for segment I in range [0,3].
 
Double_tGetVertices ()
 
void InspectShape () const override
 Prints shape parameters.
 
TClassIsA () const override
 
Bool_t IsCylType () const override
 
Bool_t IsTwisted () const
 
Double_t Safety (const Double_t *point, Bool_t in=kTRUE) const override
 Computes the closest distance from given point to this shape.
 
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.
 
Double_t SafetyToFace (const Double_t *point, Int_t iseg, Bool_t in) const
 Estimate safety to lateral plane defined by segment iseg in range [0,3] Might be negative: plane seen only from inside.
 
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 *param) override
 Set all arb8 params in one step.
 
void SetDz (Double_t dz)
 
void SetPlaneVertices (Double_t zpl, Double_t *vertices) const
 Computes intersection points between plane at zpl and non-horizontal edges.
 
void SetPoints (Double_t *points) const override
 Creates arb8 mesh points.
 
void SetPoints (Float_t *points) const override
 Creates arb8 mesh points.
 
virtual void SetVertex (Int_t vnum, Double_t x, Double_t y)
 Set values for a given vertex.
 
void Sizeof3D () const override
 Fill size of this 3-D object.
 
void Streamer (TBuffer &) override
 Stream an object of class TGeoManager.
 
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.
 
Double_t Capacity () const override
 Computes capacity of the shape in [length^3].
 
void ComputeBBox () override
 Compute bounding box - nothing to do in this case.
 
void ComputeNormal (const Double_t *point, const Double_t *dir, Double_t *norm) override
 Computes normal to closest surface from POINT.
 
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
 Test if point is inside this 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.
 
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.
 
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 surface of the box.
 
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 surface of the box.
 
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 this box shape belonging to volume "voldiv" into ndiv equal volumes called divname, from start position with the given step.
 
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.
 
void GetBoundingCylinder (Double_t *param) const override
 Fill vector param[4] with the bounding cylinder parameters.
 
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.
 
TGeoShapeGetMakeRuntimeShape (TGeoShape *mother, TGeoMatrix *mat) 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
 
virtual const Double_tGetOrigin () const
 
Bool_t GetPointsOnSegments (Int_t npoints, Double_t *array) const override
 Fills array with n random points located on the line segments of the shape mesh.
 
void InspectShape () const override
 Prints shape parameters.
 
TClassIsA () const override
 
Bool_t IsCylType () const override
 
virtual Bool_t IsNullBox () const
 
Bool_t IsValidBox () const override
 
TBuffer3DMakeBuffer3D () const override
 Creates a TBuffer3D describing this shape.
 
Double_t Safety (const Double_t *point, Bool_t in=kTRUE) const override
 Computes the closest distance from given point to this shape.
 
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 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 SetDimensions (Double_t *param) 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
 Fill box points.
 
void SetPoints (Float_t *points) const override
 Fill box points.
 
void SetSegsAndPols (TBuffer3D &buffer) const override
 Fills TBuffer3D structure for segments and polygons.
 
void Sizeof3D () const override
 
void Streamer (TBuffer &) override
 Stream an object of class TObject.
 
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.
 
virtual void ClearThreadData () const
 
virtual void CreateThreadData (Int_t)
 
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 IsComposite () 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.
 
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 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 void GetPlaneNormal (Double_t *p1, Double_t *p2, Double_t *p3, Double_t *norm)
 Computes normal to plane defined by P1, P2 and P3.
 
static Bool_t InsidePolygon (Double_t x, Double_t y, Double_t *pts)
 Finds if a point in XY plane is inside the polygon defines by PTS.
 
static Bool_t IsSamePoint (const Double_t *p1, const Double_t *p2)
 
- 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 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 Types

enum  EGeoArb8Type { kArb8Trap = (1ULL << ( 27 )) , kArb8Tra = (1ULL << ( 28 )) }
 
- Protected Types inherited from TObject
enum  { kOnlyPrepStep = (1ULL << ( 3 )) }
 

Protected Member Functions

 TGeoArb8 (const TGeoArb8 &)=delete
 
void CopyTwist (Double_t *twist=nullptr)
 Copy twist values from source array.
 
TGeoArb8operator= (const TGeoArb8 &)=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 ()
 

Protected Attributes

Double_t fDz {0}
 
Double_tfTwist {nullptr}
 
Double_t fXY [8][2]
 [4] tangents of twist angles
 
- Protected Attributes inherited from TGeoBBox
Double_t fDX
 
Double_t fDY
 
Double_t fDZ
 
Double_t fOrigin [3]
 
- Protected Attributes inherited from TGeoShape
UInt_t fShapeBits
 
Int_t fShapeId
 
- Protected Attributes inherited from TNamed
TString fName
 
TString fTitle
 

Additional Inherited Members

- Public Types inherited from TGeoShape
enum  EShapeType {
  kBitMask32 = 0xffffffff , kGeoNoShape = 0 , kGeoBad = (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
 

#include <TGeoArb8.h>

Inheritance diagram for TGeoArb8:
[legend]

Member Enumeration Documentation

◆ EGeoArb8Type

enum TGeoArb8::EGeoArb8Type
protected
Enumerator
kArb8Trap 
kArb8Tra 

Definition at line 19 of file TGeoArb8.h.

Constructor & Destructor Documentation

◆ TGeoArb8() [1/4]

TGeoArb8::TGeoArb8 ( const TGeoArb8 )
protecteddelete

◆ TGeoArb8() [2/4]

TGeoArb8::TGeoArb8 ( )

Default constructor.

Definition at line 166 of file TGeoArb8.cxx.

◆ TGeoArb8() [3/4]

TGeoArb8::TGeoArb8 ( Double_t  dz,
Double_t vertices = nullptr 
)

Constructor.

If the array of vertices is not null, this should be in the format : (x0, y0, x1, y1, ... , x7, y7)

Definition at line 180 of file TGeoArb8.cxx.

◆ TGeoArb8() [4/4]

TGeoArb8::TGeoArb8 ( const char *  name,
Double_t  dz,
Double_t vertices = nullptr 
)

Named constructor.

If the array of vertices is not null, this should be in the format : (x0, y0, x1, y1, ... , x7, y7)

Definition at line 203 of file TGeoArb8.cxx.

◆ ~TGeoArb8()

TGeoArb8::~TGeoArb8 ( )
override

Destructor.

Definition at line 225 of file TGeoArb8.cxx.

Member Function Documentation

◆ Capacity()

Double_t TGeoArb8::Capacity ( ) const
overridevirtual

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

Implements TGeoShape.

Definition at line 249 of file TGeoArb8.cxx.

◆ Class()

static TClass * TGeoArb8::Class ( )
static
Returns
TClass describing this class

◆ Class_Name()

static const char * TGeoArb8::Class_Name ( )
static
Returns
Name of this class

◆ Class_Version()

static constexpr Version_t TGeoArb8::Class_Version ( )
inlinestaticconstexpr
Returns
Version of this class

Definition at line 93 of file TGeoArb8.h.

◆ ComputeBBox()

void TGeoArb8::ComputeBBox ( )
overridevirtual

Computes bounding box for an Arb8 shape.

Implements TGeoShape.

Definition at line 267 of file TGeoArb8.cxx.

◆ ComputeNormal()

void TGeoArb8::ComputeNormal ( const Double_t point,
const Double_t dir,
Double_t norm 
)
overridevirtual

Compute normal to closest surface from POINT.

Implements TGeoShape.

Definition at line 465 of file TGeoArb8.cxx.

◆ ComputeNormal_v()

void TGeoArb8::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 TGeoShape.

Definition at line 1350 of file TGeoArb8.cxx.

◆ ComputeTwist()

void TGeoArb8::ComputeTwist ( )

Computes tangents of twist angles (angles between projections on XY plane of corresponding -dz +dz edges).

Computes also if the vertices are defined clockwise or anti-clockwise.

Definition at line 297 of file TGeoArb8.cxx.

◆ Contains()

Bool_t TGeoArb8::Contains ( const Double_t point) const
overridevirtual

Test if point is inside this shape.

Implements TGeoShape.

Definition at line 531 of file TGeoArb8.cxx.

◆ Contains_v()

void TGeoArb8::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 TGeoShape.

Definition at line 1339 of file TGeoArb8.cxx.

◆ CopyTwist()

void TGeoArb8::CopyTwist ( Double_t twist = nullptr)
protected

Copy twist values from source array.

Definition at line 234 of file TGeoArb8.cxx.

◆ DeclFileName()

static const char * TGeoArb8::DeclFileName ( )
inlinestatic
Returns
Name of the file containing the class declaration

Definition at line 93 of file TGeoArb8.h.

◆ DistFromInside()

Double_t TGeoArb8::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 surface of the shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 721 of file TGeoArb8.cxx.

◆ DistFromInside_v()

void TGeoArb8::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 TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1359 of file TGeoArb8.cxx.

◆ DistFromOutside()

Double_t TGeoArb8::DistFromOutside ( const Double_t point,
const Double_t dir,
Int_t  iact = 1,
Double_t  step = TGeoShape::Big(),
Double_t safe = nullptr 
) const
overridevirtual

Computes distance from outside point to surface of the shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 688 of file TGeoArb8.cxx.

◆ DistFromOutside_v()

void TGeoArb8::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 TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1369 of file TGeoArb8.cxx.

◆ DistToPlane()

Double_t TGeoArb8::DistToPlane ( const Double_t point,
const Double_t dir,
Int_t  ipl,
Bool_t  in 
) const

Computes distance to plane ipl :

  • ipl=0 : points 0,4,1,5
  • ipl=1 : points 1,5,2,6
  • ipl=2 : points 2,6,3,7
  • ipl=3 : points 3,7,0,4

Definition at line 556 of file TGeoArb8.cxx.

◆ Divide()

TGeoVolume * TGeoArb8::Divide ( TGeoVolume voldiv,
const char *  divname,
Int_t  iaxis,
Int_t  ndiv,
Double_t  start,
Double_t  step 
)
overridevirtual

Divide this shape along one axis.

Implements TGeoShape.

Reimplemented in TGeoTrap.

Definition at line 862 of file TGeoArb8.cxx.

◆ GetAxisRange()

Double_t TGeoArb8::GetAxisRange ( Int_t  iaxis,
Double_t xlo,
Double_t xhi 
) const
overridevirtual

Get shape range on a given axis.

Implements TGeoShape.

Definition at line 872 of file TGeoArb8.cxx.

◆ GetBoundingCylinder()

void TGeoArb8::GetBoundingCylinder ( Double_t param) const
overridevirtual

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

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

Implements TGeoShape.

Definition at line 890 of file TGeoArb8.cxx.

◆ GetByteCount()

Int_t TGeoArb8::GetByteCount ( ) const
inlineoverridevirtual

Implements TGeoShape.

Definition at line 63 of file TGeoArb8.h.

◆ GetClosestEdge()

Double_t TGeoArb8::GetClosestEdge ( const Double_t point,
Double_t vert,
Int_t isegment 
) const

Get index of the edge of the quadrilater represented by vert closest to point.

If [P1,P2] is the closest segment and P is the point, the function returns the fraction of the projection of (P1P) over (P1P2). If projection of P is not in range [P1,P2] return -1.

Definition at line 398 of file TGeoArb8.cxx.

◆ GetDz()

Double_t TGeoArb8::GetDz ( ) const
inline

Definition at line 66 of file TGeoArb8.h.

◆ GetFittingBox()

Int_t TGeoArb8::GetFittingBox ( const TGeoBBox parambox,
TGeoMatrix mat,
Double_t dx,
Double_t dy,
Double_t dz 
) const
overridevirtual

Fills real parameters of a positioned box inside this arb8. Returns 0 if successful.

Implements TGeoShape.

Definition at line 909 of file TGeoArb8.cxx.

◆ GetMakeRuntimeShape()

TGeoShape * TGeoArb8::GetMakeRuntimeShape ( TGeoShape ,
TGeoMatrix  
) const
inlineoverridevirtual

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 69 of file TGeoArb8.h.

◆ GetPlaneNormal()

void TGeoArb8::GetPlaneNormal ( Double_t p1,
Double_t p2,
Double_t p3,
Double_t norm 
)
static

Computes normal to plane defined by P1, P2 and P3.

Definition at line 966 of file TGeoArb8.cxx.

◆ GetPointsOnFacet()

Bool_t TGeoArb8::GetPointsOnFacet ( Int_t  ,
Int_t  ,
Double_t  
) const
overridevirtual

Fills array with n random points located on the surface of indexed facet.

The output array must be provided with a length of minimum 3*npoints. Returns true if operation succeeded. Possible index values:

  • 0 - all facets together
  • 1 to 6 - facet index from bottom to top Z

Reimplemented from TGeoBBox.

Definition at line 996 of file TGeoArb8.cxx.

◆ GetTwist()

Double_t TGeoArb8::GetTwist ( Int_t  iseg) const

Get twist for segment I in range [0,3].

Definition at line 388 of file TGeoArb8.cxx.

◆ GetVertices()

Double_t * TGeoArb8::GetVertices ( )
inline

Definition at line 71 of file TGeoArb8.h.

◆ InsidePolygon()

Bool_t TGeoArb8::InsidePolygon ( Double_t  x,
Double_t  y,
Double_t pts 
)
static

Finds if a point in XY plane is inside the polygon defines by PTS.

Definition at line 1052 of file TGeoArb8.cxx.

◆ InspectShape()

void TGeoArb8::InspectShape ( ) const
overridevirtual

Prints shape parameters.

Implements TGeoShape.

Definition at line 1073 of file TGeoArb8.cxx.

◆ IsA()

TClass * TGeoArb8::IsA ( ) const
inlineoverridevirtual
Returns
TClass describing current object

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 93 of file TGeoArb8.h.

◆ IsCylType()

Bool_t TGeoArb8::IsCylType ( ) const
inlineoverridevirtual

Implements TGeoShape.

Definition at line 73 of file TGeoArb8.h.

◆ IsSamePoint()

static Bool_t TGeoArb8::IsSamePoint ( const Double_t p1,
const Double_t p2 
)
inlinestatic

Definition at line 74 of file TGeoArb8.h.

◆ IsTwisted()

Bool_t TGeoArb8::IsTwisted ( ) const
inline

Definition at line 80 of file TGeoArb8.h.

◆ operator=()

TGeoArb8 & TGeoArb8::operator= ( const TGeoArb8 )
protecteddelete

◆ Safety()

Double_t TGeoArb8::Safety ( const Double_t point,
Bool_t  in = kTRUE 
) const
overridevirtual

Computes the closest distance from given point to this shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1088 of file TGeoArb8.cxx.

◆ Safety_v()

void TGeoArb8::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 TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1381 of file TGeoArb8.cxx.

◆ SafetyToFace()

Double_t TGeoArb8::SafetyToFace ( const Double_t point,
Int_t  iseg,
Bool_t  in 
) const

Estimate safety to lateral plane defined by segment iseg in range [0,3] Might be negative: plane seen only from inside.

Definition at line 1175 of file TGeoArb8.cxx.

◆ SavePrimitive()

void TGeoArb8::SavePrimitive ( std::ostream &  out,
Option_t option = "" 
)
overridevirtual

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

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1216 of file TGeoArb8.cxx.

◆ SetDimensions()

void TGeoArb8::SetDimensions ( Double_t param)
overridevirtual

Set all arb8 params in one step.

param[0] = dz param[1] = x0 param[2] = y0 ...

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1261 of file TGeoArb8.cxx.

◆ SetDz()

void TGeoArb8::SetDz ( Double_t  dz)
inline

Definition at line 88 of file TGeoArb8.h.

◆ SetPlaneVertices()

void TGeoArb8::SetPlaneVertices ( Double_t  zpl,
Double_t vertices 
) const

Computes intersection points between plane at zpl and non-horizontal edges.

Definition at line 1245 of file TGeoArb8.cxx.

◆ SetPoints() [1/2]

void TGeoArb8::SetPoints ( Double_t points) const
overridevirtual

Creates arb8 mesh points.

Implements TGeoShape.

Definition at line 1275 of file TGeoArb8.cxx.

◆ SetPoints() [2/2]

void TGeoArb8::SetPoints ( Float_t points) const
overridevirtual

Creates arb8 mesh points.

Implements TGeoShape.

Definition at line 1287 of file TGeoArb8.cxx.

◆ SetVertex()

void TGeoArb8::SetVertex ( Int_t  vnum,
Double_t  x,
Double_t  y 
)
virtual

Set values for a given vertex.

Definition at line 1299 of file TGeoArb8.cxx.

◆ Sizeof3D()

void TGeoArb8::Sizeof3D ( ) const
overridevirtual

Fill size of this 3-D object.

Implements TGeoShape.

Definition at line 1316 of file TGeoArb8.cxx.

◆ Streamer()

void TGeoArb8::Streamer ( TBuffer R__b)
overridevirtual

Stream an object of class TGeoManager.

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1324 of file TGeoArb8.cxx.

◆ StreamerNVirtual()

void TGeoArb8::StreamerNVirtual ( TBuffer ClassDef_StreamerNVirtual_b)
inline

Definition at line 93 of file TGeoArb8.h.

Member Data Documentation

◆ fDz

Double_t TGeoArb8::fDz {0}
protected

Definition at line 26 of file TGeoArb8.h.

◆ fTwist

Double_t* TGeoArb8::fTwist {nullptr}
protected

Definition at line 27 of file TGeoArb8.h.

◆ fXY

Double_t TGeoArb8::fXY[8][2]
protected

[4] tangents of twist angles

Definition at line 28 of file TGeoArb8.h.

Libraries for TGeoArb8:

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