```// @(#)root/geom:\$Id\$
// Author: Mihaela Gheata   20/06/04

/*************************************************************************
*                                                                       *
* For the licensing terms see \$ROOTSYS/LICENSE.                         *
* For the list of contributors see \$ROOTSYS/README/CREDITS.             *
*************************************************************************/

#ifndef ROOT_TGeoParaboloid
#define ROOT_TGeoParaboloid

#ifndef ROOT_TGeoBBox
#include "TGeoBBox.h"
#endif

////////////////////////////////////////////////////////////////////////////
//
// TGeoParaboloid - Paraboloid  class. A paraboloid is the solid bounded by
//            the following surfaces:
//            - 2 planes parallel with XY cutting the Z axis at Z=-dz and Z=+dz
//            - the surface of revolution of a parabola described by:
//                 z = a*(x*x + y*y) + b
//       The parameters a and b are automatically computed from:
//            - rlo - the radius of the circle of intersection between the
//              parabolic surface and the plane z = -dz
//            - rhi - the radius of the circle of intersection between the
//              parabolic surface and the plane z = +dz
//         | -dz = a*rlo*rlo + b
//         |  dz = a*rhi*rhi + b      where: rlo != rhi, both >= 0
//
////////////////////////////////////////////////////////////////////////////

class TGeoParaboloid : public TGeoBBox
{
private:
Double_t              fRlo;                  // radius at z=-dz
Double_t              fRhi;                  // radius at z=+dz
Double_t              fDz;                   // range on Z axis [-dz, dz]
Double_t              fB;                    // Z value of parabola at x=y=0
public:
// constructors
TGeoParaboloid();
TGeoParaboloid(Double_t rlo, Double_t rhi, Double_t dz);
TGeoParaboloid(const char *name, Double_t rlo, Double_t rhi, Double_t dz);
TGeoParaboloid(Double_t *params);
// destructor
virtual ~TGeoParaboloid();
// methods
virtual Double_t      Capacity() const;
virtual void          ComputeBBox();
virtual void          ComputeNormal(const Double_t *point, const Double_t *dir, Double_t *norm);
virtual void          ComputeNormal_v(const Double_t *points, const Double_t *dirs, Double_t *norms, Int_t vecsize);
virtual Bool_t        Contains(const Double_t *point) const;
virtual void          Contains_v(const Double_t *points, Bool_t *inside, Int_t vecsize) const;
virtual Int_t         DistancetoPrimitive(Int_t px, Int_t py);
Double_t              DistToParaboloid(const Double_t *point, const Double_t *dir, Bool_t in) const;
virtual Double_t      DistFromInside(const Double_t *point, const Double_t *dir, Int_t iact=1,
Double_t step=TGeoShape::Big(), Double_t *safe=0) const;
virtual void          DistFromInside_v(const Double_t *points, const Double_t *dirs, Double_t *dists, Int_t vecsize, Double_t *step) const;
virtual Double_t      DistFromOutside(const Double_t *point, const Double_t *dir, Int_t iact=1,
Double_t step=TGeoShape::Big(), Double_t *safe=0) const;
virtual void          DistFromOutside_v(const Double_t *points, const Double_t *dirs, Double_t *dists, Int_t vecsize, Double_t *step) const;
virtual TGeoVolume   *Divide(TGeoVolume *voldiv, const char *divname, Int_t iaxis, Int_t ndiv,
Double_t start, Double_t step);
virtual const TBuffer3D &GetBuffer3D(Int_t reqSections, Bool_t localFrame) const;
Double_t              GetRlo() const    {return fRlo;}
Double_t              GetRhi() const    {return fRhi;}
Double_t              GetDz() const     {return fDz;}

virtual void          GetBoundingCylinder(Double_t *param) const;
virtual TGeoShape    *GetMakeRuntimeShape(TGeoShape *mother, TGeoMatrix *mat) const;
virtual void          GetMeshNumbers(Int_t &nvert, Int_t &nsegs, Int_t &npols) const;
virtual Int_t         GetNmeshVertices() const;
virtual Bool_t        GetPointsOnSegments(Int_t /*npoints*/, Double_t * /*array*/) const {return kFALSE;}
virtual void          InspectShape() const;
virtual Bool_t        IsCylType() const {return kTRUE;}
virtual TBuffer3D    *MakeBuffer3D() const;
virtual Double_t      Safety(const Double_t *point, Bool_t in=kTRUE) const;
virtual void          Safety_v(const Double_t *points, const Bool_t *inside, Double_t *safe, Int_t vecsize) const;
virtual void          SavePrimitive(std::ostream &out, Option_t *option = "");
void                  SetParaboloidDimensions(Double_t rlo, Double_t rhi, Double_t dz);
virtual void          SetDimensions(Double_t *param);
virtual void          SetPoints(Double_t *points) const;
virtual void          SetPoints(Float_t *points) const;
virtual void          SetSegsAndPols(TBuffer3D &buff) const;
virtual void          Sizeof3D() const;

ClassDef(TGeoParaboloid, 1)         // paraboloid class

};

#endif
```
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