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TGeoHype Class Reference

A hyperboloid is represented as a solid limited by two planes perpendicular to the Z axis (top and bottom planes) and two hyperbolic surfaces of revolution about Z axis (inner and outer surfaces).

The class describing hyperboloids is TGeoHype has 5 input parameters:

Double_t stout,Double_t dz);
TGeoHype()
Default constructor.
Definition TGeoHype.cxx:89

The hyperbolic surface equation is taken in the form:

r^2 - z^2 * tan(st)^2 = rmin^2
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t r
• r,z: cylindrical coordinates for a point on the surface
• st: stereo angle between the hyperbola asymptotic lines and Z axis
• rmin: minimum distance between hyperbola and Z axis (at z=0)

The input parameters for a hyperboloid represent:

• rin, stin: minimum radius and stereo angle in degrees for the inner surface
• rout, stout: minimum radius and stereo angle in degrees for the outer surface
• dz: half length in Z (bounding planes positions at +/-dz)

The following conditions are mandatory in order to avoid intersections between the inner and outer hyperbolic surfaces in the range +/-dz:

• rin < rout
• rout > 0
• rin^2 + dz^2 * tan(stin)^2 > rout^2 + dz^2 * tan(stout)^2

Particular cases:

• rin=0, stin0: the inner surface is conical
• stin=0 / stout=0: cylindrical surface(s)

Definition at line 17 of file TGeoHype.h.

## Public Member Functions

TGeoHype ()
Default constructor.

TGeoHype (const char *name, Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
Constructor specifying parameters and name.

TGeoHype (Double_t *params)
Default constructor specifying a list of parameters.

TGeoHype (Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
Constructor specifying hyperboloid parameters.

~TGeoHype () override
destructor

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

void ComputeBBox () override
Compute bounding box of the hyperboloid.

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.

Bool_t Contains (const Double_t *point) const override
test if point is inside this tube

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.

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 hyperboloid.

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 hyperboloid.

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.

Int_t DistToHype (const Double_t *point, const Double_t *dir, Double_t *s, Bool_t inner, Bool_t in) const
Compute distance from an arbitrary point to inner/outer surface of hyperboloid.

TGeoVolumeDivide (TGeoVolume *voldiv, const char *divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) override
Cannot divide hyperboloids.

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

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
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.

Double_t GetStIn () const

Double_t GetStOut () const

Bool_t HasInner () const

void InspectShape () const override
print shape parameters

TClassIsA () const override

Bool_t IsCylType () const override

TBuffer3DMakeBuffer3D () const override
Creates a TBuffer3D describing this shape.

Double_t RadiusHypeSq (Double_t z, Bool_t inner) const
Compute r^2 = x^2 + y^2 at a given z coordinate, for either inner or outer hyperbolas.

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.

Double_t SafetyToHype (const Double_t *point, Bool_t inner, Bool_t in) const
Compute an underestimate of the closest distance from a point to inner or outer infinite hyperbolas.

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 dimensions of the hyperboloid starting from an array.

void SetHypeDimensions (Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz)
Set dimensions of the hyperboloid.

void SetPoints (Double_t *points) const override
create tube mesh points

void SetPoints (Float_t *points) const override
create tube mesh points

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

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

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

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Double_t ZHypeSq (Double_t r, Bool_t inner) const
Compute z^2 at a given r^2, for either inner or outer hyperbolas.

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

TGeoTube (const char *name, Double_t rmin, Double_t rmax, Double_t dz)
Default constructor specifying minimum and maximum radius.

TGeoTube (Double_t *params)
Default constructor specifying minimum and maximum radius.

TGeoTube (Double_t rmin, Double_t rmax, Double_t dz)
Default constructor specifying minimum and maximum radius.

~TGeoTube () override
destructor

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

void ComputeBBox () override
compute bounding box of the tube

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.

Bool_t Contains (const Double_t *point) const override
test if point is inside this tube

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.

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 tube Boundary safe algorithm.

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 tube and safe distance Boundary safe algorithm.

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 tube shape belonging to volume "voldiv" into ndiv 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 GetDz () const

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
Return number of vertices of the mesh representation.

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.

virtual Double_t GetRmax () const

virtual Double_t GetRmin () const

Bool_t HasRmin () const

void InspectShape () const override
print shape parameters

TClassIsA () const override

Bool_t IsCylType () 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, 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 *param) override
Set tube dimensions starting from a list.

void SetPoints (Double_t *points) const override
create tube mesh points

void SetPoints (Float_t *points) const override
create tube mesh points

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

void SetTubeDimensions (Double_t rmin, Double_t rmax, Double_t dz)
Set tube dimensions.

void Sizeof3D () const override
fill size of this 3-D 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.

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

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 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)

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 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 Public Member Functions inherited from TGeoTube
static Double_t Capacity (Double_t rmin, Double_t rmax, Double_t dz)
Computes capacity of the shape in [length^3].

static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static void ComputeNormalS (const Double_t *point, const Double_t *dir, Double_t *norm, Double_t rmin, Double_t rmax, Double_t dz)
Compute normal to closest surface from POINT.

static const char * DeclFileName ()

static Double_t DistFromInsideS (const Double_t *point, const Double_t *dir, Double_t rmin, Double_t rmax, Double_t dz)
Compute distance from inside point to surface of the tube (static) Boundary safe algorithm.

static Double_t DistFromOutsideS (const Double_t *point, const Double_t *dir, Double_t rmin, Double_t rmax, Double_t dz)
Static method to compute distance from outside point to a tube with given parameters Boundary safe algorithm.

static void DistToTube (Double_t rsq, Double_t nsq, Double_t rdotn, Double_t radius, Double_t &b, Double_t &delta)
Static method computing the distance to a tube with given radius, starting from POINT along DIR director cosines.

static Double_t SafetyS (const Double_t *point, Bool_t in, Double_t rmin, Double_t rmax, Double_t dz, Int_t skipz=0)
computes the closest distance from given point to this shape, according to option.

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 Attributes

Double_t fStIn

Double_t fStOut

Protected Attributes inherited from TGeoTube
Double_t fDz

Double_t fRmax

Double_t fRmin

Protected Attributes inherited from TGeoBBox
Double_t fDX

Double_t fDY

Double_t fDZ

Double_t fOrigin [3]

Protected Attributes inherited from TGeoShape
UInt_t fShapeBits

Int_t fShapeId

Protected Attributes inherited from TNamed
TString fName

TString fTitle

## Private Member Functions

TGeoHype (const TGeoHype &)=delete

TGeoHypeoperator= (const TGeoHype &)=delete

Double_t fTin

Double_t fTinsq

Double_t fTout

Double_t fToutsq

## 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 ))
}

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

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

TGeoTubeoperator= (const TGeoTube &)=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 ()

#include <TGeoHype.h>

Inheritance diagram for TGeoHype:
[legend]

## ◆ TGeoHype() [1/5]

 TGeoHype::TGeoHype ( const TGeoHype & )
privatedelete

## ◆ TGeoHype() [2/5]

 TGeoHype::TGeoHype ( )

Default constructor.

Definition at line 89 of file TGeoHype.cxx.

## ◆ TGeoHype() [3/5]

 TGeoHype::TGeoHype ( Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz )

Constructor specifying hyperboloid parameters.

Definition at line 103 of file TGeoHype.cxx.

## ◆ TGeoHype() [4/5]

 TGeoHype::TGeoHype ( const char * name, Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz )

Constructor specifying parameters and name.

Definition at line 115 of file TGeoHype.cxx.

## ◆ TGeoHype() [5/5]

 TGeoHype::TGeoHype ( Double_t * param )

Default constructor specifying a list of parameters.

• param[0] = dz
• param[1] = rin
• param[2] = stin
• param[3] = rout
• param[4] = stout

Definition at line 134 of file TGeoHype.cxx.

## ◆ ~TGeoHype()

 TGeoHype::~TGeoHype ( )
override

destructor

Definition at line 147 of file TGeoHype.cxx.

## ◆ Capacity()

 Double_t TGeoHype::Capacity ( ) const
overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 152 of file TGeoHype.cxx.

## ◆ Class()

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

## ◆ Class_Name()

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

## ◆ Class_Version()

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

Definition at line 92 of file TGeoHype.h.

## ◆ ComputeBBox()

 void TGeoHype::ComputeBBox ( )
overridevirtual

Compute bounding box of the hyperboloid.

Reimplemented from TGeoBBox.

Definition at line 162 of file TGeoHype.cxx.

## ◆ ComputeNormal()

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

Compute normal to closest surface from POINT.

Reimplemented from TGeoBBox.

Definition at line 182 of file TGeoHype.cxx.

## ◆ ComputeNormal_v()

 void TGeoHype::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 1064 of file TGeoHype.cxx.

## ◆ Contains()

 Bool_t TGeoHype::Contains ( const Double_t * point ) const
overridevirtual

test if point is inside this tube

Reimplemented from TGeoBBox.

Definition at line 220 of file TGeoHype.cxx.

## ◆ Contains_v()

 void TGeoHype::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 1053 of file TGeoHype.cxx.

## ◆ DeclFileName()

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

Definition at line 92 of file TGeoHype.h.

## ◆ DistancetoPrimitive()

 Int_t TGeoHype::DistancetoPrimitive ( Int_t px, Int_t py )
overridevirtual

compute closest distance from point px,py to each corner

Reimplemented from TGeoBBox.

Definition at line 239 of file TGeoHype.cxx.

## ◆ DistFromInside()

 Double_t TGeoHype::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 hyperboloid.

Reimplemented from TGeoBBox.

Definition at line 249 of file TGeoHype.cxx.

## ◆ DistFromInside_v()

 void TGeoHype::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 1073 of file TGeoHype.cxx.

## ◆ DistFromOutside()

 Double_t TGeoHype::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 surface of the hyperboloid.

Reimplemented from TGeoBBox.

Definition at line 294 of file TGeoHype.cxx.

## ◆ DistFromOutside_v()

 void TGeoHype::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 1083 of file TGeoHype.cxx.

## ◆ DistToHype()

 Int_t TGeoHype::DistToHype ( const Double_t * point, const Double_t * dir, Double_t * s, Bool_t inner, Bool_t in ) const

Compute distance from an arbitrary point to inner/outer surface of hyperboloid.

Returns number of positive solutions. S[2] contains the solutions.

Definition at line 361 of file TGeoHype.cxx.

## ◆ Divide()

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

Cannot divide hyperboloids.

Reimplemented from TGeoBBox.

Definition at line 421 of file TGeoHype.cxx.

## ◆ GetAxisRange()

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

Get range of shape for a given axis.

Reimplemented from TGeoBBox.

Definition at line 431 of file TGeoHype.cxx.

## ◆ GetBoundingCylinder()

 void TGeoHype::GetBoundingCylinder ( Double_t * param ) const
overridevirtual

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

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

Reimplemented from TGeoBBox.

Definition at line 460 of file TGeoHype.cxx.

## ◆ GetBuffer3D()

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

Fills a static 3D buffer and returns a reference.

Reimplemented from TGeoBBox.

Definition at line 1019 of file TGeoHype.cxx.

## ◆ GetByteCount()

 Int_t TGeoHype::GetByteCount ( ) const
inlineoverridevirtual

Reimplemented from TGeoBBox.

Definition at line 67 of file TGeoHype.h.

## ◆ GetMakeRuntimeShape()

 TGeoShape * TGeoHype::GetMakeRuntimeShape ( TGeoShape * mother, TGeoMatrix * mat ) const
overridevirtual

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

Reimplemented from TGeoBBox.

Definition at line 474 of file TGeoHype.cxx.

## ◆ GetMeshNumbers()

 void TGeoHype::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 992 of file TGeoHype.cxx.

## ◆ GetNmeshVertices()

 Int_t TGeoHype::GetNmeshVertices ( ) const
overridevirtual

Return number of vertices of the mesh representation.

Reimplemented from TGeoBBox.

Definition at line 1004 of file TGeoHype.cxx.

## ◆ GetPointsOnSegments()

 Bool_t TGeoHype::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 68 of file TGeoHype.h.

## ◆ GetStIn()

 Double_t TGeoHype::GetStIn ( ) const
inline

Definition at line 72 of file TGeoHype.h.

## ◆ GetStOut()

 Double_t TGeoHype::GetStOut ( ) const
inline

Definition at line 73 of file TGeoHype.h.

## ◆ HasInner()

 Bool_t TGeoHype::HasInner ( ) const
inline

Definition at line 74 of file TGeoHype.h.

## ◆ InspectShape()

 void TGeoHype::InspectShape ( ) const
overridevirtual

print shape parameters

Reimplemented from TGeoBBox.

Definition at line 496 of file TGeoHype.cxx.

## ◆ IsA()

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

Reimplemented from TGeoBBox.

Definition at line 92 of file TGeoHype.h.

## ◆ IsCylType()

 Bool_t TGeoHype::IsCylType ( ) const
inlineoverridevirtual

Reimplemented from TGeoBBox.

Definition at line 78 of file TGeoHype.h.

## ◆ MakeBuffer3D()

 TBuffer3D * TGeoHype::MakeBuffer3D ( ) const
overridevirtual

Creates a TBuffer3D describing this shape.

Coordinates are in local reference frame.

Reimplemented from TGeoBBox.

Definition at line 513 of file TGeoHype.cxx.

## ◆ operator=()

 TGeoHype & TGeoHype::operator= ( const TGeoHype & )
privatedelete

## ◆ RadiusHypeSq()

 Double_t TGeoHype::RadiusHypeSq ( Double_t z, Bool_t inner ) const

Compute r^2 = x^2 + y^2 at a given z coordinate, for either inner or outer hyperbolas.

Definition at line 733 of file TGeoHype.cxx.

## ◆ Safety()

 Double_t TGeoHype::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 768 of file TGeoHype.cxx.

## ◆ Safety_v()

 void TGeoHype::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 1095 of file TGeoHype.cxx.

## ◆ SafetyToHype()

 Double_t TGeoHype::SafetyToHype ( const Double_t * point, Bool_t inner, Bool_t in ) const

Compute an underestimate of the closest distance from a point to inner or outer infinite hyperbolas.

Definition at line 795 of file TGeoHype.cxx.

## ◆ SavePrimitive()

 void TGeoHype::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 838 of file TGeoHype.cxx.

## ◆ SetDimensions()

 void TGeoHype::SetDimensions ( Double_t * param )
overridevirtual

Set dimensions of the hyperboloid starting from an array.

• param[0] = dz
• param[1] = rin
• param[2] = stin
• param[3] = rout
• param[4] = stout

Reimplemented from TGeoBBox.

Definition at line 881 of file TGeoHype.cxx.

## ◆ SetHypeDimensions()

 void TGeoHype::SetHypeDimensions ( Double_t rin, Double_t stin, Double_t rout, Double_t stout, Double_t dz )

Set dimensions of the hyperboloid.

Definition at line 856 of file TGeoHype.cxx.

## ◆ SetPoints() [1/2]

 void TGeoHype::SetPoints ( Double_t * points ) const
overridevirtual

create tube mesh points

Reimplemented from TGeoBBox.

Definition at line 894 of file TGeoHype.cxx.

## ◆ SetPoints() [2/2]

 void TGeoHype::SetPoints ( Float_t * points ) const
overridevirtual

create tube mesh points

Reimplemented from TGeoBBox.

Definition at line 943 of file TGeoHype.cxx.

## ◆ SetSegsAndPols()

 void TGeoHype::SetSegsAndPols ( TBuffer3D & buff ) const
overridevirtual

Fill TBuffer3D structure for segments and polygons.

Reimplemented from TGeoBBox.

Definition at line 534 of file TGeoHype.cxx.

## ◆ Sizeof3D()

 void TGeoHype::Sizeof3D ( ) const
overridevirtual

fill size of this 3-D object

Reimplemented from TGeoBBox.

Definition at line 1014 of file TGeoHype.cxx.

## ◆ Streamer()

 void TGeoHype::Streamer ( TBuffer & R__b )
overridevirtual

Stream an object of class TObject.

Reimplemented from TGeoBBox.

## ◆ StreamerNVirtual()

 void TGeoHype::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )
inline

Definition at line 92 of file TGeoHype.h.

## ◆ ZHypeSq()

 Double_t TGeoHype::ZHypeSq ( Double_t r, Bool_t inner ) const

Compute z^2 at a given r^2, for either inner or outer hyperbolas.

Definition at line 749 of file TGeoHype.cxx.

## ◆ fStIn

 Double_t TGeoHype::fStIn
protected

Definition at line 23 of file TGeoHype.h.

## ◆ fStOut

 Double_t TGeoHype::fStOut
protected

Definition at line 24 of file TGeoHype.h.

## ◆ fTin

 Double_t TGeoHype::fTin
private

Definition at line 28 of file TGeoHype.h.

## ◆ fTinsq

 Double_t TGeoHype::fTinsq
private

Definition at line 30 of file TGeoHype.h.

## ◆ fTout

 Double_t TGeoHype::fTout
private

Definition at line 29 of file TGeoHype.h.

## ◆ fToutsq

 Double_t TGeoHype::fToutsq
private

Definition at line 31 of file TGeoHype.h.

Libraries for TGeoHype:

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