TF3

class TF3 : public TF2

    public:

                       TF3()
                       TF3(const char* name, const char* formula, Double_t xmin = 0, Double_t xmax = 1, Double_t ymin = 0, Double_t ymax = 1, Double_t zmin = 0, Double_t zmax = 1)
                       TF3(const char* name, void* fcn, Double_t xmin = 0, Double_t xmax = 1, Double_t ymin = 0, Double_t ymax = 1, Double_t zmin = 0, Double_t zmax = 1, Int_t npar = 0)
                       TF3(const char* name, Double_t (*)(Double_t*, Double_t*) fcn, Double_t xmin = 0, Double_t xmax = 1, Double_t ymin = 0, Double_t ymax = 1, Double_t zmin = 0, Double_t zmax = 1, Int_t npar = 0)
                       TF3(const TF3& f3)
               virtual ~TF3()
      virtual Double_t CentralMoment3(Double_t nx, Double_t ax, Double_t bx, Double_t ny, Double_t ay, Double_t by, Double_t nz, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
        static TClass* Class()
          virtual void Copy(TObject& f3) const
      virtual Double_t Covariance3XY(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Covariance3XZ(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Covariance3YZ(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
         virtual Int_t DistancetoPrimitive(Int_t px, Int_t py)
          virtual void Draw(Option_t* option)
          virtual void DrawDerivative(Option_t* = "al")
          virtual void DrawIntegral(Option_t* = "al")
          virtual void ExecuteEvent(Int_t event, Int_t px, Int_t py)
                 Int_t GetNpz() const
          virtual void GetRandom3(Double_t& xrandom, Double_t& yrandom, Double_t& zrandom)
          virtual void GetRange(Double_t& xmin, Double_t& xmax) const
          virtual void GetRange(Double_t& xmin, Double_t& ymin, Double_t& xmax, Double_t& ymax) const
          virtual void GetRange(Double_t& xmin, Double_t& ymin, Double_t& zmin, Double_t& xmax, Double_t& ymax, Double_t& zmax) const
      virtual Double_t GetZmax() const
      virtual Double_t GetZmin() const
      virtual Double_t Integral(Double_t a, Double_t b, const Double_t* params = 0, Double_t epsilon = 0.000001)
      virtual Double_t Integral(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon = 0.000001)
      virtual Double_t Integral(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
       virtual TClass* IsA() const
        virtual Bool_t IsInside(const Double_t* x) const
      virtual Double_t Mean3X(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Mean3Y(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Mean3Z(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Moment3(Double_t nx, Double_t ax, Double_t bx, Double_t ny, Double_t ay, Double_t by, Double_t nz, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
                  TF3& operator=(const TF3& rhs)
          virtual void Paint(Option_t* option)
          virtual void SetClippingBoxOff()
          virtual void SetClippingBoxOn(Double_t xclip = 0, Double_t yclip = 0, Double_t zclip = 0)
          virtual void SetNpz(Int_t npz = 30)
          virtual void SetRange(Double_t xmin, Double_t xmax)
          virtual void SetRange(Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax)
          virtual void SetRange(Double_t xmin, Double_t ymin, Double_t zmin, Double_t xmax, Double_t ymax, Double_t zmax)
          virtual void ShowMembers(TMemberInspector& insp, char* parent)
          virtual void Streamer(TBuffer& b)
                  void StreamerNVirtual(TBuffer& b)
      virtual Double_t Variance3X(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Variance3Y(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
      virtual Double_t Variance3Z(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)

Data Members

    protected:

      Double_t fZmin  Lower bound for the range in z
      Double_t fZmax  Upper bound for the range in z
         Int_t fNpz   Number of points along z used for the graphical representation

Class Description

 a 3-Dim function with parameters

*-*-*-*-*-*-*-*-*-*-*F3 default constructor*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
*-*                  ======================

*-*-*-*-*-*-*F3 constructor using a formula definition*-*-*-*-*-*-*-*-*-*-*
*-*          =========================================
*-*
*-*  See TFormula constructor for explanation of the formula syntax.
*-*
*-*
*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

*-*-*-*-*-*-*F3 constructor using a pointer to an interpreted function*-*-*
*-*          =========================================================
*-*
*-*   npar is the number of free parameters used by the function
*-*
*-*  Creates a function of type C between xmin and xmax and ymin,ymax.
*-*  The function is defined with npar parameters
*-*  fcn must be a function of type:
*-*     Double_t fcn(Double_t *x, Double_t *params)
*-*
*-*  This constructor is called for functions of type C by CINT.
*-*
*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

*-*-*-*-*-*-*F3 constructor using a pointer to real function*-*-*-*-*-*-*-*
*-*          ===============================================
*-*
*-*   npar is the number of free parameters used by the function
*-*
*-*  For example, for a 3-dim function with 3 parameters, the user function
*-*      looks like:
*-*    Double_t fun1(Double_t *x, Double_t *par)
*-*        return par[0]*x[2] + par[1]*exp(par[2]*x[0]*x[1]);
*-*
*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

*-*-*-*-*-*-*-*-*-*-*F3 default destructor*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
*-*                  =====================

*-*-*-*-*-*-*-*-*-*-*Copy this F3 to a new F3*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
*-*                  ========================

*-*-*-*-*-*-*-*-*-*-*Compute distance from point px,py to a function*-*-*-*-*
*-*                  ===============================================
*-*  Compute the closest distance of approach from point px,py to this function.
*-*  The distance is computed in pixels units.
*-*
*-*  Algorithm:
*-*
*-*
*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

*-*-*-*-*-*-*-*-*-*-*Draw this function with its current attributes*-*-*-*-*
*-*                  ==============================================

*-*-*-*-*-*-*-*-*-*-*Execute action corresponding to one event*-*-*-*
*-*                  =========================================
*-*  This member function is called when a F3 is clicked with the locator
*-*
*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

*-*-*-*-*-*Return 3 random numbers following this function shape*-*-*-*-*-*
*-*        =====================================================
*-*
*-*   The distribution contained in this TF3 function is integrated
*-*   over the cell contents.
*-*   It is normalized to 1.
*-*   Getting the three random numbers implies:
*-*     - Generating a random number between 0 and 1 (say r1)
*-*     - Look in which cell in the normalized integral r1 corresponds to
*-*     - make a linear interpolation in the returned cell
*-*
*-*
*-*  IMPORTANT NOTE
*-*  The integral of the function is computed at fNpx * fNpy * fNpz points.
*-*  If the function has sharp peaks, you should increase the number of
*-*  points (SetNpx, SetNpy, SetNpz) such that the peak is correctly tabulated
*-*  at several points.

*-*-*-*-*-*-*-*-*-*-*Return range of function*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
*-*                  ========================

 Return Integral of a 3d function in range [ax,bx],[ay,by],[az,bz]

 Return kTRUE is the point is inside the function range

*-*-*-*-*-*-*-*-*Paint this 3-D function with its current attributes*-*-*-*-*
*-*              ===================================================

 Set the function clipping box (for drawing) "off".

 Set the function clipping box (for drawing) "on" and define the clipping box.
 xclip, yclip and zclip is a point within the function range. All the
 function values having x<=xclip and y<=yclip and z>=zclip are clipped.

 Set the number of points used to draw the function

 The default number of points along x is 30 for 2-d/3-d functions.
 You can increase this value to get a better resolution when drawing
 pictures with sharp peaks or to get a better result when using TF3::GetRandom2
 the minimum number of points is 4, the maximum is 10000 for 2-d/3-d functions

*-*-*-*-*-*Initialize the upper and lower bounds to draw the function*-*-*-*
*-*        ==========================================================

 Return x^nx * y^ny * z^nz moment of a 3d function in range [ax,bx],[ay,by],[az,bz]
   Author: Gene Van Buren <gene@bnl.gov>

 Return x^nx * y^ny * z^nz central moment of a 3d function in range [ax,bx],[ay,by],[az,bz]
   Author: Gene Van Buren <gene@bnl.gov>

Inline Functions

               TF3& operator=(const TF3& rhs)
               void DrawDerivative(Option_t* = "al")
               void DrawIntegral(Option_t* = "al")
              Int_t GetNpz() const
               void GetRange(Double_t& xmin, Double_t& ymin, Double_t& xmax, Double_t& ymax) const
               void GetRange(Double_t& xmin, Double_t& ymin, Double_t& zmin, Double_t& xmax, Double_t& ymax, Double_t& zmax) const
           Double_t GetZmin() const
           Double_t GetZmax() const
           Double_t Integral(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon = 0.000001)
           Double_t Integral(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
               void SetRange(Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax)
               void SetRange(Double_t xmin, Double_t ymin, Double_t zmin, Double_t xmax, Double_t ymax, Double_t zmax)
           Double_t Mean3X(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Mean3Y(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Mean3Z(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Variance3X(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Variance3Y(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Variance3Z(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Covariance3XY(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Covariance3XZ(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
           Double_t Covariance3YZ(Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t az, Double_t bz, Double_t epsilon = 0.000001)
            TClass* Class()
            TClass* IsA() const
               void ShowMembers(TMemberInspector& insp, char* parent)
               void Streamer(TBuffer& b)
               void StreamerNVirtual(TBuffer& b)