A 2-Dim function with parameters.

Expression using variables x and y

{
    TF2 *f2 = new TF2("f2","sin(x)*sin(y)/(x*y)",0,5,0,5);
    f2->Draw();
}

Expression using a user defined function

Double_t func(Double_t *val, Double_t *par)
{
   Float_t x = val[0];
   Float_t y = val[1];
   Double_t f = x*x-y*y;
   return f;
}
 
void fplot()
{
   TF2 *f = new TF2("f",func,-1,1,-1,1);
   f->Draw("surf1");
}

See TF1 class for the list of functions formats

Definition at line 29 of file TF2.h.

Public Member Functions
	TF2 ()
	TF2 default constructor. More...

	TF2 (const char name, const char formula, Double_t xmin=0, Double_t xmax=1, Double_t ymin=0, Double_t ymax=1, Option_t *opt=nullptr)
	F2 constructor using a formula definition. More...

template<class PtrObj , typename MemFn >
	TF2 (const char name, const PtrObj &p, MemFn memFn, Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Int_t npar, const char , const char *)
	backward compatible ctor More...

template<class PtrObj , typename MemFn >
	TF2 (const char *name, const PtrObj &p, MemFn memFn, Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Int_t npar, Int_t ndim=2)

	TF2 (const char name, Double_t(fcn)(const Double_t , const Double_t ), Double_t xmin=0, Double_t xmax=1, Double_t ymin=0, Double_t ymax=1, Int_t npar=0, Int_t ndim=2)
	F2 constructor using a pointer to a compiled function. More...

	TF2 (const char name, Double_t(fcn)(Double_t , Double_t ), Double_t xmin=0, Double_t xmax=1, Double_t ymin=0, Double_t ymax=1, Int_t npar=0, Int_t ndim=2)
	F2 constructor using a pointer to a compiled function. More...

template<typename Func >
	TF2 (const char name, Func f, Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Int_t npar, const char )
	backward compatible ctor More...

template<typename Func >
	TF2 (const char *name, Func f, Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Int_t npar, Int_t ndim=2)

	TF2 (const char *name, ROOT::Math::ParamFunctor f, Double_t xmin=0, Double_t xmax=1, Double_t ymin=0, Double_t ymax=1, Int_t npar=0, Int_t ndim=2)
	F2 constructor using a ParamFunctor, a functor class implementing operator() (double , double ) More...

	TF2 (const TF2 &f2)
	Copy constructor. More...

virtual	~TF2 ()
	F2 default destructor. More...

virtual Double_t	CentralMoment2 (Double_t nx, Double_t ax, Double_t bx, Double_t ny, Double_t ay, Double_t by, Double_t epsilon=0.000001)
	Return x^nx * y^ny central moment of a 2d function in range [ax,bx],[ay,by]. More...

virtual void	Copy (TObject &f2) const
	Copy this F2 to a new F2. More...

virtual Double_t	Covariance2XY (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001)

virtual TH1 *	CreateHistogram ()
	Create a histogram from function. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Compute distance from point px,py to a function. More...

virtual void	Draw (Option_t *option="")
	Draw this function with its current attributes. More...

virtual TF1 *	DrawCopy (Option_t *option="") const
	Draw a copy of this function with its current attributes-*. More...

virtual TObject *	DrawDerivative (Option_t *="al")
	Draw derivative of this function. More...

virtual TObject *	DrawIntegral (Option_t *="al")
	Draw integral of this function. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to one event. More...

virtual Int_t	GetContour (Double_t *levels=0)
	Return contour values into array levels. More...

virtual Double_t	GetContourLevel (Int_t level) const
	Return the number of contour levels. More...

virtual Double_t	GetMaximum (Double_t *x) const
	Return maximum value of the function See TF2::GetMinimum. More...

virtual Double_t	GetMaximum (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the maximum value of the function. More...

virtual Double_t	GetMaximumXY (Double_t &x, Double_t &y) const
	Compute the X and Y values corresponding to the maximum value of the function. More...

virtual Double_t	GetMinimum (Double_t *x) const
	Return minimum/maximum value of the function. More...

virtual Double_t	GetMinimum (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the minimum value of the function on the (xmin, xmax) interval. More...

virtual Double_t	GetMinimumXY (Double_t &x, Double_t &y) const
	Compute the X and Y values corresponding to the minimum value of the function. More...

Int_t	GetNpy () const

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Redefines TObject::GetObjectInfo. More...

Double_t	GetRandom ()
	Return a random number following this function shape. More...

Double_t	GetRandom (Double_t xmin, Double_t xmax)
	Return a random number following this function shape. More...

virtual void	GetRandom2 (Double_t &xrandom, Double_t &yrandom)
	Return 2 random numbers following this function shape. More...

virtual void	GetRange (Double_t &xmin, Double_t &xmax) const
	Return range of a 1-D function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const
	Return range of a 2-D function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const
	Return range of a 2-D function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &zmin, Double_t &xmax, Double_t &ymax, Double_t &zmax) const
	Return range of function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &zmin, Double_t &xmax, Double_t &ymax, Double_t &zmax) const
	Return range of function. More...

virtual void	GetRange (Double_t xmin, Double_t xmax) const
	Return range of a generic N-D function. More...

virtual Double_t	GetSave (const Double_t *x)
	Get value corresponding to X in array of fSave values. More...

virtual Double_t	GetYmax () const

virtual Double_t	GetYmin () const

virtual Double_t	Integral (Double_t a, Double_t b, Double_t epsrel=1.e-12)
	IntegralOneDim or analytical integral. More...

virtual Double_t	Integral (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsrel=1.e-6)
	Return Integral of a 2d function in range [ax,bx],[ay,by] with desired relative accuracy (default value of eps is 1.e-9) More...

virtual Bool_t	IsInside (const Double_t *x) const
	Return kTRUE is the point is inside the function range. More...

virtual Double_t	Mean2X (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001)

virtual Double_t	Mean2Y (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001)

virtual Double_t	Moment2 (Double_t nx, Double_t ax, Double_t bx, Double_t ny, Double_t ay, Double_t by, Double_t epsilon=0.000001)
	Return x^nx * y^ny moment of a 2d function in range [ax,bx],[ay,by]. More...

TF2 &	operator= (const TF2 &rhs)
	Operator =. More...

virtual void	Paint (Option_t *option="")
	Paint this 2-D function with its current attributes. More...

virtual void	Save (Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Double_t zmin, Double_t zmax)
	Save values of function in array fSave. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save primitive as a C++ statement(s) on output stream out. More...

virtual void	SetContour (Int_t nlevels=20, const Double_t *levels=0)
	Set the number and values of contour levels. More...

virtual void	SetContourLevel (Int_t level, Double_t value)
	Set value for one contour level. More...

virtual void	SetNpy (Int_t npy=100)
	Set the number of points used to draw the function. More...

virtual void	SetRange (Double_t xmin, Double_t xmax)
	Initialize the upper and lower bounds to draw the function. More...

virtual void	SetRange (Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax)
	Initialize the upper and lower bounds to draw the function-. More...

virtual void	SetRange (Double_t xmin, Double_t ymin, Double_t zmin, Double_t xmax, Double_t ymax, Double_t zmax)

virtual Double_t	Variance2X (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001)

virtual Double_t	Variance2Y (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001)

Public Member Functions inherited from TF1
	TF1 ()
	TF1 default constructor. More...

	TF1 (const char name, const char formula, Double_t xmin, Double_t xmax, Option_t *option)
	Same constructor as above (for TFormula based function) but passing an option strings available options VEC - vectorize the formula expressions (not possible for lambda based expressions) NL - function is not stores in the global list of functions GL - function will be always stored in the global list of functions , independently of the global setting of TF1::DefaultAddToGlobalList. More...

	TF1 (const char name, const char formula, Double_t xmin=0, Double_t xmax=1, EAddToList addToGlobList=EAddToList::kDefault, bool vectorize=false)
	F1 constructor using a formula definition. More...

template<class PtrObj , typename MemFn >
	TF1 (const char name, const PtrObj &p, MemFn memFn, Double_t xmin, Double_t xmax, Int_t npar, const char , const char *, EAddToList addToGlobList=EAddToList::kDefault)

template<class PtrObj , typename MemFn >
	TF1 (const char *name, const PtrObj &p, MemFn memFn, Double_t xmin, Double_t xmax, Int_t npar, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)

	TF1 (const char *name, Double_t xmin, Double_t xmax, Int_t npar, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
	F1 constructor using name of an interpreted function. More...

	TF1 (const char name, Double_t(fcn)(const Double_t , const Double_t ), Double_t xmin=0, Double_t xmax=1, Int_t npar=0, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
	Constructor using a pointer to real function. More...

	TF1 (const char name, Double_t(fcn)(Double_t , Double_t ), Double_t xmin=0, Double_t xmax=1, Int_t npar=0, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
	Constructor using a pointer to a real function. More...

template<typename Func >
	TF1 (const char name, Func f, Double_t xmin, Double_t xmax, Int_t npar, const char , EAddToList addToGlobList=EAddToList::kDefault)

template<typename Func >
	TF1 (const char *name, Func f, Double_t xmin, Double_t xmax, Int_t npar, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)

	TF1 (const char *name, ROOT::Math::ParamFunctor f, Double_t xmin=0, Double_t xmax=1, Int_t npar=0, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
	Constructor using the Functor class. More...

template<class T >
	TF1 (const char name, std::function< T(const T data, const Double_t *param)> &fcn, Double_t xmin=0, Double_t xmax=1, Int_t npar=0, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)

template<class T >
	TF1 (const char name, T(fcn)(const T , const Double_t ), Double_t xmin=0, Double_t xmax=1, Int_t npar=0, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
	Constructor using a pointer to function. More...

	TF1 (const TF1 &f1)

virtual	~TF1 ()
	TF1 default destructor. More...

virtual void	AddParameter (const TString &name, Double_t value)

virtual Bool_t	AddToGlobalList (Bool_t on=kTRUE)
	Add to global list of functions (gROOT->GetListOfFunctions() ) return previous status (true if the function was already in the list false if not) More...

virtual void	Browse (TBrowser *b)
	Browse. More...

virtual Double_t	CentralMoment (Double_t n, Double_t a, Double_t b, const Double_t *params=0, Double_t epsilon=0.000001)
	Return nth central moment of function between a and b (i.e the n-th moment around the mean value) More...

virtual void	Copy (TObject &f1) const
	Copy this F1 to a new F1. More...

virtual TH1 *	CreateHistogram ()

virtual Double_t	Derivative (Double_t x, Double_t *params=0, Double_t epsilon=0.001) const
	Returns the first derivative of the function at point x, computed by Richardson's extrapolation method (use 2 derivative estimates to compute a third, more accurate estimation) first, derivatives with steps h and h/2 are computed by central difference formulas. More...

virtual Double_t	Derivative2 (Double_t x, Double_t *params=0, Double_t epsilon=0.001) const
	Returns the second derivative of the function at point x, computed by Richardson's extrapolation method (use 2 derivative estimates to compute a third, more accurate estimation) first, derivatives with steps h and h/2 are computed by central difference formulas. More...

virtual Double_t	Derivative3 (Double_t x, Double_t *params=0, Double_t epsilon=0.001) const
	Returns the third derivative of the function at point x, computed by Richardson's extrapolation method (use 2 derivative estimates to compute a third, more accurate estimation) first, derivatives with steps h and h/2 are computed by central difference formulas. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Compute distance from point px,py to a function. More...

virtual void	Draw (Option_t *option="")
	Draw this function with its current attributes. More...

virtual TF1 *	DrawCopy (Option_t *option="") const
	Draw a copy of this function with its current attributes. More...

virtual TObject *	DrawDerivative (Option_t *option="al")
	Draw derivative of this function. More...

virtual void	DrawF1 (Double_t xmin, Double_t xmax, Option_t *option="")
	Draw function between xmin and xmax. More...

virtual TObject *	DrawIntegral (Option_t *option="al")
	Draw integral of this function. More...

virtual Double_t	Eval (Double_t x, Double_t y=0, Double_t z=0, Double_t t=0) const
	Evaluate this function. More...

virtual Double_t	EvalPar (const Double_t x, const Double_t params=0)
	Evaluate function with given coordinates and parameters. More...

template<class T >
T	EvalPar (const T x, const Double_t params=0)
	EvalPar for vectorized. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to one event. More...

virtual void	FixParameter (Int_t ipar, Double_t value)
	Fix the value of a parameter The specified value will be used in a fit operation. More...

Double_t	GetChisquare () const

virtual TString	GetExpFormula (Option_t *option="") const

virtual TFormula *	GetFormula ()

virtual const TFormula *	GetFormula () const

virtual TH1 *	GetHistogram () const
	Return a pointer to the histogram used to visualise the function. More...

virtual const TObject *	GetLinearPart (Int_t i) const

virtual Double_t	GetMaximum (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the maximum value of the function. More...

virtual Double_t	GetMaximumStored () const

virtual Double_t	GetMaximumX (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the X value corresponding to the maximum value of the function. More...

TMethodCall *	GetMethodCall () const

virtual Double_t	GetMinimum (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the minimum value of the function on the (xmin, xmax) interval. More...

virtual Double_t	GetMinimumStored () const

virtual Double_t	GetMinimumX (Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the X value corresponding to the minimum value of the function on the (xmin, xmax) interval. More...

virtual Int_t	GetNDF () const
	Return the number of degrees of freedom in the fit the fNDF parameter has been previously computed during a fit. More...

virtual Int_t	GetNdim () const

virtual Int_t	GetNpar () const

virtual Int_t	GetNpx () const

virtual Int_t	GetNumber () const

virtual Int_t	GetNumberFitPoints () const

virtual Int_t	GetNumberFreeParameters () const
	Return the number of free parameters. More...

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Redefines TObject::GetObjectInfo. More...

virtual Double_t	GetParameter (const TString &name) const

virtual Double_t	GetParameter (Int_t ipar) const

virtual Double_t *	GetParameters () const

virtual void	GetParameters (Double_t *params)

TObject *	GetParent () const

virtual Double_t	GetParError (Int_t ipar) const
	Return value of parameter number ipar. More...

virtual const Double_t *	GetParErrors () const

virtual void	GetParLimits (Int_t ipar, Double_t &parmin, Double_t &parmax) const
	Return limits for parameter ipar. More...

virtual const char *	GetParName (Int_t ipar) const

virtual Int_t	GetParNumber (const char *name) const

virtual Double_t	GetProb () const
	Return the fit probability. More...

virtual Int_t	GetQuantiles (Int_t nprobSum, Double_t q, const Double_t probSum)
	Compute Quantiles for density distribution of this function. More...

virtual Double_t	GetRandom ()
	Return a random number following this function shape. More...

virtual Double_t	GetRandom (Double_t xmin, Double_t xmax)
	Return a random number following this function shape in [xmin,xmax]. More...

virtual void	GetRange (Double_t &xmin, Double_t &xmax) const
	Return range of a 1-D function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const
	Return range of a 2-D function. More...

virtual void	GetRange (Double_t &xmin, Double_t &ymin, Double_t &zmin, Double_t &xmax, Double_t &ymax, Double_t &zmax) const
	Return range of function. More...

virtual Double_t	GetSave (const Double_t *x)
	Get value corresponding to X in array of fSave values. More...

virtual Double_t	GetVariable (const TString &name)

virtual Double_t	GetX (Double_t y, Double_t xmin=0, Double_t xmax=0, Double_t epsilon=1.E-10, Int_t maxiter=100, Bool_t logx=false) const
	Returns the X value corresponding to the function value fy for (xmin<x<xmax). More...

TAxis *	GetXaxis () const
	Get x axis of the function. More...

virtual Double_t	GetXmax () const

virtual Double_t	GetXmin () const

TAxis *	GetYaxis () const
	Get y axis of the function. More...

TAxis *	GetZaxis () const
	Get z axis of the function. (In case this object is a TF2 or TF3) More...

virtual void	GradientPar (const Double_t x, Double_t grad, Double_t eps=0.01)
	Compute the gradient wrt parameters. More...

template<class T >
void	GradientPar (const T x, T grad, Double_t eps=0.01)

virtual Double_t	GradientPar (Int_t ipar, const Double_t *x, Double_t eps=0.01)
	Compute the gradient (derivative) wrt a parameter ipar. More...

template<class T >
T	GradientPar (Int_t ipar, const T *x, Double_t eps=0.01)

template<class T >
void	GradientParTempl (const T x, T grad, Double_t eps=0.01)

template<class T >
T	GradientParTempl (Int_t ipar, const T *x, Double_t eps=0.01)

virtual void	InitArgs (const Double_t x, const Double_t params)
	Initialize parameters addresses. More...

virtual Double_t	Integral (Double_t a, Double_t b, Double_t epsrel=1.e-12)
	IntegralOneDim or analytical integral. More...

virtual Double_t	IntegralError (Double_t a, Double_t b, const Double_t params=0, const Double_t covmat=0, Double_t epsilon=1.E-2)
	Return Error on Integral of a parametric function between a and b due to the parameter uncertainties. More...

virtual Double_t	IntegralError (Int_t n, const Double_t a, const Double_t b, const Double_t params=0, const Double_t covmat=0, Double_t epsilon=1.E-2)
	Return Error on Integral of a parametric function with dimension larger tan one between a[] and b[] due to the parameters uncertainties. More...

virtual Double_t	IntegralFast (Int_t num, Double_t x, Double_t w, Double_t a, Double_t b, Double_t *params=0, Double_t epsilon=1e-12)
	Gauss-Legendre integral, see CalcGaussLegendreSamplingPoints. More...

virtual Double_t	IntegralMultiple (Int_t n, const Double_t a, const Double_t b, Double_t epsrel, Double_t &relerr)
	See more general prototype below. More...

virtual Double_t	IntegralMultiple (Int_t n, const Double_t a, const Double_t b, Int_t maxpts, Double_t epsrel, Double_t epsabs, Double_t &relerr, Int_t &nfnevl, Int_t &ifail)
	This function computes, to an attempted specified accuracy, the value of the integral. More...

virtual Double_t	IntegralMultiple (Int_t n, const Double_t a, const Double_t b, Int_t, Int_t maxpts, Double_t epsrel, Double_t &relerr, Int_t &nfnevl, Int_t &ifail)

virtual Double_t	IntegralOneDim (Double_t a, Double_t b, Double_t epsrel, Double_t epsabs, Double_t &err)
	Return Integral of function between a and b using the given parameter values and relative and absolute tolerance. More...

virtual Bool_t	IsEvalNormalized () const

virtual Bool_t	IsInside (const Double_t *x) const
	return kTRUE if the point is inside the function range More...

virtual Bool_t	IsLinear () const

virtual Bool_t	IsValid () const
	Return kTRUE if the function is valid. More...

bool	IsVectorized ()

virtual Double_t	Mean (Double_t a, Double_t b, const Double_t *params=0, Double_t epsilon=0.000001)

virtual Double_t	Moment (Double_t n, Double_t a, Double_t b, const Double_t *params=0, Double_t epsilon=0.000001)
	Return nth moment of function between a and b. More...

template<class T >
T	operator() (const T x, const Double_t params=nullptr)

virtual Double_t	operator() (Double_t x, Double_t y=0, Double_t z=0, Double_t t=0) const

TF1 &	operator= (const TF1 &rhs)
	Operator =. More...

virtual void	Paint (Option_t *option="")
	Paint this function with its current attributes. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual void	ReleaseParameter (Int_t ipar)
	Release parameter number ipar If used in a fit, the parameter can vary freely. More...

virtual void	Save (Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Double_t zmin, Double_t zmax)
	Save values of function in array fSave. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save primitive as a C++ statement(s) on output stream out. More...

virtual void	SetChisquare (Double_t chi2)

virtual void	SetFitResult (const ROOT::Fit::FitResult &result, const Int_t *indpar=0)
	Set the result from the fit parameter values, errors, chi2, etc... Optionally a pointer to a vector (with size fNpar) of the parameter indices in the FitResult can be passed This is useful in the case of a combined fit with different functions, and the FitResult contains the global result By default it is assume that indpar = {0,1,2,....,fNpar-1}. More...

template<typename Func >
void	SetFunction (Func f)

template<class PtrObj , typename MemFn >
void	SetFunction (PtrObj &p, MemFn memFn)

virtual void	SetMaximum (Double_t maximum=-1111)
	Set the maximum value along Y for this function In case the function is already drawn, set also the maximum in the helper histogram. More...

virtual void	SetMinimum (Double_t minimum=-1111)
	Set the minimum value along Y for this function In case the function is already drawn, set also the minimum in the helper histogram. More...

virtual void	SetNDF (Int_t ndf)
	Set the number of degrees of freedom ndf should be the number of points used in a fit - the number of free parameters. More...

virtual void	SetNormalized (Bool_t flag)

virtual void	SetNpx (Int_t npx=100)
	Set the number of points used to draw the function. More...

virtual void	SetNumberFitPoints (Int_t npfits)

virtual void	SetParameter (const TString &name, Double_t value)

virtual void	SetParameter (Int_t param, Double_t value)

virtual void	SetParameters (const Double_t *params)

virtual void	SetParameters (Double_t p0, Double_t p1, Double_t p2=0, Double_t p3=0, Double_t p4=0, Double_t p5=0, Double_t p6=0, Double_t p7=0, Double_t p8=0, Double_t p9=0, Double_t p10=0)

virtual void	SetParent (TObject *p=0)

virtual void	SetParError (Int_t ipar, Double_t error)
	Set error for parameter number ipar. More...

virtual void	SetParErrors (const Double_t *errors)
	Set errors for all active parameters when calling this function, the array errors must have at least fNpar values. More...

virtual void	SetParLimits (Int_t ipar, Double_t parmin, Double_t parmax)
	Set limits for parameter ipar. More...

virtual void	SetParName (Int_t ipar, const char *name)
	Set name of parameter number ipar. More...

virtual void	SetParNames (const char name0="p0", const char name1="p1", const char name2="p2", const char name3="p3", const char name4="p4", const char name5="p5", const char name6="p6", const char name7="p7", const char name8="p8", const char name9="p9", const char *name10="p10")
	Set up to 10 parameter names. More...

virtual void	SetRange (Double_t xmin, Double_t xmax)
	Initialize the upper and lower bounds to draw the function. More...

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	SetSavedPoint (Int_t point, Double_t value)
	Restore value of function saved at point. More...

virtual void	SetTitle (const char *title="")
	Set function title if title has the form "fffffff;xxxx;yyyy", it is assumed that the function title is "fffffff" and "xxxx" and "yyyy" are the titles for the X and Y axis respectively. More...

virtual void	SetVectorized (Bool_t vectorized)

virtual void	Update ()
	Called by functions such as SetRange, SetNpx, SetParameters to force the deletion of the associated histogram or Integral. More...

virtual Double_t	Variance (Double_t a, Double_t b, const Double_t *params=0, Double_t epsilon=0.000001)

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor. More...

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor. More...

virtual void	Clear (Option_t *option="")
	Set name and title to empty strings (""). More...

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects. More...

virtual void	Copy (TObject &named) const
	Copy this to obj. More...

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

virtual Bool_t	IsSortable () const

virtual void	ls (Option_t *option="") const
	List TNamed name and title. More...

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual void	SetName (const char *name)
	Set the name of the TNamed. More...

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title). More...

virtual void	SetTitle (const char *title="")
	Set the title of the TNamed. More...

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject. More...

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor. More...

	TObject (const TObject &object)
	TObject copy ctor. More...

virtual	~TObject ()
	TObject destructor. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...

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. More...

virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...

virtual void	Clear (Option_t *="")

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method. More...

virtual void	Copy (TObject &object) const
	Copy this to obj. More...

virtual void	Delete (Option_t *option="")
	Delete this object. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad for instance with: `gROOT->SetSelectedPad(gPad)`. More...

virtual void	Dump () const
	Dump contents of object on stdout. More...

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message. More...

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...

virtual const char *	GetIconName () const
	Returns mime type name of object. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...

virtual Option_t *	GetOption () const

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

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. More...

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message. More...

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...

void	InvertBit (UInt_t f)

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout. More...

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). More...

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...

void	operator delete (void *ptr)
	Operator delete. More...

void	operator delete[] (void *ptr)
	Operator delete []. More...

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)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...

virtual void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself. More...

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message. More...

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. More...

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

Public Member Functions inherited from TAttLine
	TAttLine ()
	AttLine default constructor. More...

	TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth)
	AttLine normal constructor. More...

virtual	~TAttLine ()
	AttLine destructor. More...

void	Copy (TAttLine &attline) const
	Copy this line attributes to a new TAttLine. More...

Int_t	DistancetoLine (Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2)
	Compute distance from point px,py to a line. More...

virtual Color_t	GetLineColor () const
	Return the line color. More...

virtual Style_t	GetLineStyle () const
	Return the line style. More...

virtual Width_t	GetLineWidth () const
	Return the line width. More...

virtual void	Modify ()
	Change current line attributes if necessary. More...

virtual void	ResetAttLine (Option_t *option="")
	Reset this line attributes to default values. More...

virtual void	SaveLineAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t widdef=1)
	Save line attributes as C++ statement(s) on output stream out. More...

virtual void	SetLineAttributes ()
	Invoke the DialogCanvas Line attributes. More...

virtual void	SetLineColor (Color_t lcolor)
	Set the line color. More...

virtual void	SetLineColorAlpha (Color_t lcolor, Float_t lalpha)
	Set a transparent line color. More...

virtual void	SetLineStyle (Style_t lstyle)
	Set the line style. More...

virtual void	SetLineWidth (Width_t lwidth)
	Set the line width. More...

Public Member Functions inherited from TAttFill
	TAttFill ()
	AttFill default constructor. More...

	TAttFill (Color_t fcolor, Style_t fstyle)
	AttFill normal constructor. More...

virtual	~TAttFill ()
	AttFill destructor. More...

void	Copy (TAttFill &attfill) const
	Copy this fill attributes to a new TAttFill. More...

virtual Color_t	GetFillColor () const
	Return the fill area color. More...

virtual Style_t	GetFillStyle () const
	Return the fill area style. More...

virtual Bool_t	IsTransparent () const

virtual void	Modify ()
	Change current fill area attributes if necessary. More...

virtual void	ResetAttFill (Option_t *option="")
	Reset this fill attributes to default values. More...

virtual void	SaveFillAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1001)
	Save fill attributes as C++ statement(s) on output stream out. More...

virtual void	SetFillAttributes ()
	Invoke the DialogCanvas Fill attributes. More...

virtual void	SetFillColor (Color_t fcolor)
	Set the fill area color. More...

virtual void	SetFillColorAlpha (Color_t fcolor, Float_t falpha)
	Set a transparent fill color. More...

virtual void	SetFillStyle (Style_t fstyle)
	Set the fill area style. More...

Public Member Functions inherited from TAttMarker
	TAttMarker ()
	TAttMarker default constructor. More...

	TAttMarker (Color_t color, Style_t style, Size_t msize)
	TAttMarker normal constructor. More...

virtual	~TAttMarker ()
	TAttMarker destructor. More...

void	Copy (TAttMarker &attmarker) const
	Copy this marker attributes to a new TAttMarker. More...

virtual Color_t	GetMarkerColor () const
	Return the marker color. More...

virtual Size_t	GetMarkerSize () const
	Return the marker size. More...

virtual Style_t	GetMarkerStyle () const
	Return the marker style. More...

virtual void	Modify ()
	Change current marker attributes if necessary. More...

virtual void	ResetAttMarker (Option_t *toption="")
	Reset this marker attributes to the default values. More...

virtual void	SaveMarkerAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t sizdef=1)
	Save line attributes as C++ statement(s) on output stream out. More...

virtual void	SetMarkerAttributes ()
	Invoke the DialogCanvas Marker attributes. More...

virtual void	SetMarkerColor (Color_t mcolor=1)
	Set the marker color. More...

virtual void	SetMarkerColorAlpha (Color_t mcolor, Float_t malpha)
	Set a transparent marker color. More...

virtual void	SetMarkerSize (Size_t msize=1)
	Set the marker size. More...

virtual void	SetMarkerStyle (Style_t mstyle=1)
	Set the marker style. More...

Protected Member Functions
virtual Double_t	FindMinMax (Double_t *x, bool findmax) const
	Return minimum/maximum value of the function. More...

Protected Member Functions inherited from TF1
	TF1 (EFType functionType, const char name, Double_t xmin, Double_t xmax, Int_t npar, Int_t ndim, EAddToList addToGlobList, TF1Parameters params=nullptr, TF1FunctorPointer *functor=nullptr)
	General constructor for TF1. Most of the other constructors delegate on it. More...

virtual TH1 *	DoCreateHistogram (Double_t xmin, Double_t xmax, Bool_t recreate=kFALSE)
	Create histogram with bin content equal to function value computed at the bin center This histogram will be used to paint the function A re-creation is forced and a new histogram is done if recreate=true. More...

void	DoInitialize (EAddToList addToGlobList)
	Common initialization of the TF1. More...

virtual Double_t	GetMinMaxNDim (Double_t *x, Bool_t findmax, Double_t epsilon=0, Int_t maxiter=0) const
	Find the minimum of a function of whatever dimension. More...

virtual void	GetRange (Double_t xmin, Double_t xmax) const
	Return range of a generic N-D function. More...

void	IntegrateForNormalization ()

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). More...

void	MakeZombie ()

Protected Attributes
TArrayD	fContour

Int_t	fNpy

Double_t	fYmax

Double_t	fYmin

Protected Attributes inherited from TF1
std::vector< Double_t >	fAlpha
	Integral of function binned on fNpx bins. More...

std::vector< Double_t >	fBeta
	Array alpha. for each bin in x the deconvolution r of fIntegral. More...

Double_t	fChisquare {}

std::unique_ptr< TF1AbsComposition >	fComposition

TF1AbsComposition *	fComposition_ptr {nullptr}
	Pointer to composition (NSUM or CONV) More...

TFormula *	fFormula {nullptr}
	Functor object to wrap any C++ callable object. More...

TF1FunctorPointer *	fFunctor {nullptr}

std::vector< Double_t >	fGamma
	Array beta. is approximated by x = alpha +betar gammar*2. More...

TH1 *	fHistogram {nullptr}
	Parent object hooking this function (if one) More...

std::vector< Double_t >	fIntegral

Double_t	fMaximum {-1111}

TMethodCall *	fMethodCall {nullptr}
	Pointer to histogram used for visualisation. More...

Double_t	fMinimum {-1111}

Int_t	fNDF {}

Int_t	fNdim {}

Bool_t	fNormalized {false}
	Pointer to MethodCall in case of interpreted function. More...

Double_t	fNormIntegral {}

Int_t	fNpar {}

Int_t	fNpfits {}

Int_t	fNpx {100}

TF1Parameters *	fParams {nullptr}

TObject *	fParent {nullptr}
	Array gamma. More...

std::vector< Double_t >	fParErrors

std::vector< Double_t >	fParMax

std::vector< Double_t >	fParMin

std::vector< Double_t >	fSave

EFType	fType {EFType::kTemplScalar}

Double_t	fXmax {-1111}

Double_t	fXmin {-1111}

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Protected Attributes inherited from TAttLine
Color_t	fLineColor
	Line color. More...

Style_t	fLineStyle
	Line style. More...

Width_t	fLineWidth
	Line width. More...

Protected Attributes inherited from TAttFill
Color_t	fFillColor
	Fill area color. More...

Style_t	fFillStyle
	Fill area style. More...

Protected Attributes inherited from TAttMarker
Color_t	fMarkerColor
	Marker color. More...

Size_t	fMarkerSize
	Marker size. More...

Style_t	fMarkerStyle
	Marker style. More...

Additional Inherited Members
Public Types inherited from TF1
enum class	EAddToList { kDefault , kAdd , kNo }

enum	EStatusBits { kNotGlobal = BIT(10) , kNotDraw = BIT(9) }

Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) }

enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }

enum	EStatusBits { kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) , kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) }

Static Public Member Functions inherited from TF1
static void	AbsValue (Bool_t reject=kTRUE)
	Static function: set the fgAbsValue flag. More...

static void	CalcGaussLegendreSamplingPoints (Int_t num, Double_t x, Double_t w, Double_t eps=3.0e-11)
	Type safe interface (static method) The number of sampling points are taken from the TGraph. More...

static Bool_t	DefaultAddToGlobalList (Bool_t on=kTRUE)
	Static method to add/avoid to add automatically functions to the global list (gROOT->GetListOfFunctions() ) After having called this static method, all the functions created afterwards will follow the desired behaviour. More...

static Double_t	DerivativeError ()
	Static function returning the error of the last call to the of Derivative's functions. More...

static TF1 *	GetCurrent ()
	Static function returning the current function being processed. More...

static void	InitStandardFunctions ()
	Create the basic function objects. More...

static Bool_t	RejectedPoint ()
	See TF1::RejectPoint above. More...

static void	RejectPoint (Bool_t reject=kTRUE)
	Static function to set the global flag to reject points the fgRejectPoint global flag is tested by all fit functions if TRUE the point is not included in the fit. More...

static void	SetCurrent (TF1 *f1)
	Static function setting the current function. More...

Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...

static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...

Protected Types inherited from TF1
enum	EFType { kFormula = 0 , kPtrScalarFreeFcn , kInterpreted , kTemplVec , kTemplScalar , kCompositionFcn }

Static Protected Attributes inherited from TF1
static std::atomic< Bool_t >	fgAbsValue

static std::atomic< Bool_t >	fgAddToGlobList

static TF1 *	fgCurrent = 0

static Bool_t	fgRejectPoint = kFALSE

#include <TF2.h>

Inheritance diagram for TF2:

[legend]

Constructor & Destructor Documentation

◆ TF2() [1/10]

TF2::TF2 ( )

TF2 default constructor.

Definition at line 64 of file TF2.cxx.

◆ TF2() [2/10]

TF2::TF2	(	const char *	name,
		const char *	formula,
		Double_t	xmin = `0`,
		Double_t	xmax = `1`,
		Double_t	ymin = `0`,
		Double_t	ymax = `1`,
		Option_t *	opt = `nullptr`
	)

F2 constructor using a formula definition.

See TFormula constructor for explanation of the formula syntax.

If formula has the form "fffffff;xxxx;yyyy", it is assumed that the formula string is "fffffff" and "xxxx" and "yyyy" are the titles for the X and Y axis respectively.

Definition at line 78 of file TF2.cxx.

◆ TF2() [3/10]

TF2::TF2	(	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`,
		Int_t	npar = `0`,
		Int_t	ndim = `2`
	)

F2 constructor using a pointer to a compiled function.

npar is the number of free parameters used by the function

This constructor creates a function of type C when invoked with the normal C++ compiler.

WARNING! A function created with this constructor cannot be Cloned.

Definition at line 112 of file TF2.cxx.

◆ TF2() [4/10]

TF2::TF2	(	const char *	name,
		Double_t()(const Double_t , const Double_t *)	fcn,
		Double_t	xmin = `0`,
		Double_t	xmax = `1`,
		Double_t	ymin = `0`,
		Double_t	ymax = `1`,
		Int_t	npar = `0`,
		Int_t	ndim = `2`
	)

F2 constructor using a pointer to a compiled function.

npar is the number of free parameters used by the function

This constructor creates a function of type C when invoked with the normal C++ compiler.

WARNING! A function created with this constructor cannot be Cloned.

Definition at line 133 of file TF2.cxx.

◆ TF2() [5/10]

TF2::TF2	(	const char *	name,
		ROOT::Math::ParamFunctor	f,
		Double_t	xmin = `0`,
		Double_t	xmax = `1`,
		Double_t	ymin = `0`,
		Double_t	ymax = `1`,
		Int_t	npar = `0`,
		Int_t	ndim = `2`
	)

F2 constructor using a ParamFunctor, a functor class implementing operator() (double *, double *)

npar is the number of free parameters used by the function

WARNING! A function created with this constructor cannot be Cloned.

Definition at line 152 of file TF2.cxx.

◆ TF2() [6/10]

template<class PtrObj , typename MemFn >

TF2::TF2	(	const char *	name,
		const PtrObj &	p,
		MemFn	memFn,
		Double_t	xmin,
		Double_t	xmax,
		Double_t	ymin,
		Double_t	ymax,
		Int_t	npar,
		Int_t	ndim = `2`
	)

inline

Definition at line 53 of file TF2.h.

◆ TF2() [7/10]

template<class PtrObj , typename MemFn >

TF2::TF2	(	const char *	name,
		const PtrObj &	p,
		MemFn	memFn,
		Double_t	xmin,
		Double_t	xmax,
		Double_t	ymin,
		Double_t	ymax,
		Int_t	npar,
		const char *	,
		const char *
	)

inline

backward compatible ctor

Definition at line 61 of file TF2.h.

◆ TF2() [8/10]

template<typename Func >

TF2::TF2	(	const char *	name,
		Func	f,
		Double_t	xmin,
		Double_t	xmax,
		Double_t	ymin,
		Double_t	ymax,
		Int_t	npar,
		Int_t	ndim = `2`
	)

inline

Definition at line 71 of file TF2.h.

◆ TF2() [9/10]

template<typename Func >

TF2::TF2	(	const char *	name,
		Func	f,
		Double_t	xmin,
		Double_t	xmax,
		Double_t	ymin,
		Double_t	ymax,
		Int_t	npar,
		const char *
	)

inline

backward compatible ctor

Definition at line 79 of file TF2.h.

◆ TF2() [10/10]

TF2::TF2 ( const TF2 & f2 )

Copy constructor.

Definition at line 184 of file TF2.cxx.

◆ ~TF2()

TF2::~TF2 ( )

virtual

F2 default destructor.

Definition at line 177 of file TF2.cxx.

Member Function Documentation

◆ CentralMoment2()

Double_t TF2::CentralMoment2	(	Double_t	nx,
		Double_t	ax,
		Double_t	bx,
		Double_t	ny,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

virtual

Return x^nx * y^ny central moment of a 2d function in range [ax,bx],[ay,by].

Author: Gene Van Buren gene@.nosp@m.bnl..nosp@m.gov

Definition at line 1025 of file TF2.cxx.

◆ Copy()

void TF2::Copy ( TObject & f2 ) const

virtual

Copy this F2 to a new F2.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 192 of file TF2.cxx.

◆ Covariance2XY()

virtual Double_t TF2::Covariance2XY	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

inlinevirtual

Definition at line 141 of file TF2.h.

◆ CreateHistogram()

TH1 * TF2::CreateHistogram ( )

virtual

Create a histogram from function.

always created it, even if it is already existing

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 677 of file TF2.cxx.

◆ DistancetoPrimitive()

Int_t TF2::DistancetoPrimitive	(	Int_t	px,
		Int_t	py
	)

virtual

Compute distance from point px,py to a function.

Parameters

[in]	px	x position
[in]	py	y position

Compute the closest distance of approach from point px,py to this function. The distance is computed in pixels units.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 210 of file TF2.cxx.

◆ Draw()

void TF2::Draw ( Option_t * option = "" )

virtual

Draw this function with its current attributes.

NB. You must use DrawCopy if you want to draw several times the same function in the current canvas.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 241 of file TF2.cxx.

◆ DrawCopy()

TF1 * TF2::DrawCopy ( Option_t * option = "" ) const

virtual

Draw a copy of this function with its current attributes-*.

This function MUST be used instead of Draw when you want to draw the same function with different parameters settings in the same canvas.

Possible option values are:

option	description
"SAME"	superimpose on top of existing picture
"L"	connect all computed points with a straight line
"C"	connect all computed points with a smooth curve.

Note that the default value is "F". Therefore to draw on top of an existing picture, specify option "SL"

Reimplemented from TF1.

Definition at line 268 of file TF2.cxx.

◆ DrawDerivative()

virtual TObject * TF2::DrawDerivative ( Option_t * option = "al" )

inlinevirtual

Draw derivative of this function.

An intermediate TGraph object is built and drawn with option. The function returns a pointer to the TGraph object. Do:

TGraph *g = (TGraph*)myfunc.DrawDerivative(option);

The resulting graph will be drawn into the current pad. If this function is used via the context menu, it recommended to create a new canvas/pad before invoking this function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 94 of file TF2.h.

◆ DrawIntegral()

virtual TObject * TF2::DrawIntegral ( Option_t * option = "al" )

inlinevirtual

Draw integral of this function.

An intermediate TGraph object is built and drawn with option. The function returns a pointer to the TGraph object. Do:

TGraph *g = (TGraph*)myfunc.DrawIntegral(option);

The resulting graph will be drawn into the current pad. If this function is used via the context menu, it recommended to create a new canvas/pad before invoking this function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 95 of file TF2.h.

◆ ExecuteEvent()

void TF2::ExecuteEvent	(	Int_t	event,
		Int_t	px,
		Int_t	py
	)

virtual

Execute action corresponding to one event.

This member function is called when a F2 is clicked with the locator

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 298 of file TF2.cxx.

◆ FindMinMax()

Double_t TF2::FindMinMax	(	Double_t *	x,
		bool	findmax
	)		const

protectedvirtual

Return minimum/maximum value of the function.

To find the minimum on a range, first set this range via the SetRange function. If a vector x of coordinate is passed it will be used as starting point for the minimum. In addition on exit x will contain the coordinate values at the minimuma

If x is NULL or x is infinity or NaN, first, a grid search is performed to find the initial estimate of the minimum location. The range of the function is divided into fNpx and fNpy sub-ranges. If the function is "good" (or "bad"), these values can be changed by SetNpx and SetNpy functions

Then, a minimization is used with starting values found by the grid search The minimizer algorithm used (by default Minuit) can be changed by callinga ROOT::Math::Minimizer::SetDefaultMinimizerType("..") Other option for the minimizer can be set using the static method of the MinimizerOptions class

Reimplemented in TF3.

Definition at line 345 of file TF2.cxx.

◆ GetContour()

Int_t TF2::GetContour ( Double_t * levels = 0 )

virtual

Return contour values into array levels.

The number of contour levels can be returned by getContourLevel

Definition at line 308 of file TF2.cxx.

◆ GetContourLevel()

Double_t TF2::GetContourLevel ( Int_t level ) const

virtual

Return the number of contour levels.

Definition at line 320 of file TF2.cxx.

◆ GetMaximum() [1/2]

Double_t TF2::GetMaximum ( Double_t * x ) const

virtual

Return maximum value of the function See TF2::GetMinimum.

Definition at line 456 of file TF2.cxx.

◆ GetMaximum() [2/2]

Double_t TF1::GetMaximum	(	Double_t	xmin = `0`,
		Double_t	xmax = `0`,
		Double_t	epsilon = `1.E-10`,
		Int_t	maxiter = `100`,
		Bool_t	logx = `false`
	)		const

virtual

Returns the maximum value of the function.

Method: First, the grid search is used to bracket the maximum with the step size = (xmax-xmin)/fNpx. This way, the step size can be controlled via the SetNpx() function. If the function is unimodal or if its extrema are far apart, setting the fNpx to a small value speeds the algorithm up many times. Then, Brent's method is applied on the bracketed interval epsilon (default = 1.E-10) controls the relative accuracy (if |x| > 1 ) and absolute (if |x| < 1) and maxiter (default = 100) controls the maximum number of iteration of the Brent algorithm If the flag logx is set the grid search is done in log step size This is done automatically if the log scale is set in the current Pad

NOTE: see also TF1::GetMaximumX and TF1::GetX

Reimplemented from TF1.

Definition at line 463 of file TF1.cxx.

◆ GetMaximumXY()

Double_t TF2::GetMaximumXY	(	Double_t &	x,
		Double_t &	y
	)		const

virtual

Compute the X and Y values corresponding to the maximum value of the function.

Return the maximum value of the function See TF2::GetMinimumXY

Definition at line 422 of file TF2.cxx.

◆ GetMinimum() [1/2]

Double_t TF2::GetMinimum ( Double_t * x ) const

virtual

Return minimum/maximum value of the function.

To find the minimum on a range, first set this range via the SetRange function If a vector x of coordinate is passed it will be used as starting point for the minimum. In addition on exit x will contain the coordinate values at the minimuma If x is NULL or x is infinity or NaN, first, a grid search is performed to find the initial estimate of the minimum location. The range of the function is divided into fNpx and fNpy sub-ranges. If the function is "good" (or "bad"), these values can be changed by SetNpx and SetNpy functions Then, a minimization is used with starting values found by the grid search The minimizer algorithm used (by default Minuit) can be changed by callinga ROOT::Math::Minimizer::SetDefaultMinimizerType("..") Other option for the minimizer can be set using the static method of the MinimizerOptions class

Definition at line 447 of file TF2.cxx.

◆ GetMinimum() [2/2]

Double_t TF1::GetMinimum	(	Double_t	xmin = `0`,
		Double_t	xmax = `0`,
		Double_t	epsilon = `1.E-10`,
		Int_t	maxiter = `100`,
		Bool_t	logx = `false`
	)		const

virtual

Returns the minimum value of the function on the (xmin, xmax) interval.

Method: First, the grid search is used to bracket the maximum with the step size = (xmax-xmin)/fNpx. This way, the step size can be controlled via the SetNpx() function. If the function is unimodal or if its extrema are far apart, setting the fNpx to a small value speeds the algorithm up many times. Then, Brent's method is applied on the bracketed interval epsilon (default = 1.E-10) controls the relative accuracy (if |x| > 1 ) and absolute (if |x| < 1) and maxiter (default = 100) controls the maximum number of iteration of the Brent algorithm If the flag logx is set the grid search is done in log step size This is done automatically if the log scale is set in the current Pad

NOTE: see also TF1::GetMaximumX and TF1::GetX

Reimplemented from TF1.

Definition at line 464 of file TF1.cxx.

◆ GetMinimumXY()

Double_t TF2::GetMinimumXY	(	Double_t &	x,
		Double_t &	y
	)		const

virtual

Compute the X and Y values corresponding to the minimum value of the function.

Return the minimum value of the function To find the minimum on a range, first set this range via the SetRange function

Method: First, a grid search is performed to find the initial estimate of the minimum location. The range of the function is divided into fNpx and fNpy sub-ranges. If the function is "good" (or "bad"), these values can be changed by SetNpx and SetNpy functions Then, a minimization is used with starting values found by the grid search The minimizer algorithm used (by default Minuit) can be changed by callinga ROOT::Math::Minimizer::SetDefaultMinimizerType("..") Other option for the minimizer can be set using the static method of the MinimizerOptions class

Note that this method will always do first a grid search in contrast to GetMinimum

Definition at line 407 of file TF2.cxx.

◆ GetNpy()

Int_t TF2::GetNpy ( ) const

inline

Definition at line 100 of file TF2.h.

◆ GetObjectInfo()

char * TF2::GetObjectInfo	(	Int_t	px,
		Int_t	py
	)		const

virtual

Redefines TObject::GetObjectInfo.

Displays the function value corresponding to cursor position px,py

Reimplemented from TF1.

Definition at line 468 of file TF2.cxx.

◆ GetRandom() [1/2]

Double_t TF2::GetRandom ( )

virtual

Return a random number following this function shape.

Reimplemented from TF1.

Definition at line 494 of file TF2.cxx.

◆ GetRandom() [2/2]

Double_t TF2::GetRandom	(	Double_t	xmin,
		Double_t	xmax
	)

virtual

Return a random number following this function shape.

Reimplemented from TF1.

Definition at line 504 of file TF2.cxx.

◆ GetRandom2()

void TF2::GetRandom2	(	Double_t &	xrandom,
		Double_t &	yrandom
	)

virtual

Return 2 random numbers following this function shape.

The distribution contained in this TF2 function is integrated over the cell contents. It is normalized to 1. Getting the two 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 points. If the function has sharp peaks, you should increase the number of points (SetNpx, SetNpy) such that the peak is correctly tabulated at several points.

Definition at line 529 of file TF2.cxx.

◆ GetRange() [1/6]

void TF1::GetRange	(	Double_t &	xmin,
		Double_t &	xmax
	)		const

virtual

Return range of a 1-D function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 541 of file TF1.cxx.

◆ GetRange() [2/6]

void TF1::GetRange	(	Double_t &	xmin,
		Double_t &	ymin,
		Double_t &	xmax,
		Double_t &	ymax
	)		const

virtual

Return range of a 2-D function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 542 of file TF1.cxx.

◆ GetRange() [3/6]

void TF2::GetRange	(	Double_t &	xmin,
		Double_t &	ymin,
		Double_t &	xmax,
		Double_t &	ymax
	)		const

virtual

Return range of a 2-D function.

Reimplemented from TF1.

Reimplemented in TF3, and TF3.

Definition at line 579 of file TF2.cxx.

◆ GetRange() [4/6]

void TF1::GetRange	(	Double_t &	xmin,
		Double_t &	ymin,
		Double_t &	zmin,
		Double_t &	xmax,
		Double_t &	ymax,
		Double_t &	zmax
	)		const

virtual

Return range of function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 543 of file TF1.cxx.

◆ GetRange() [5/6]

void TF2::GetRange	(	Double_t &	xmin,
		Double_t &	ymin,
		Double_t &	zmin,
		Double_t &	xmax,
		Double_t &	ymax,
		Double_t &	zmax
	)		const

virtual

Return range of function.

Reimplemented from TF1.

Reimplemented in TF3, and TF3.

Definition at line 590 of file TF2.cxx.

◆ GetRange() [6/6]

void TF1::GetRange	(	Double_t *	xmin,
		Double_t *	xmax
	)		const

virtual

Return range of a generic N-D function.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 313 of file TF1.cxx.

◆ GetSave()

Double_t TF2::GetSave ( const Double_t * x )

virtual

Get value corresponding to X in array of fSave values.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 604 of file TF2.cxx.

◆ GetYmax()

virtual Double_t TF2::GetYmax ( ) const

inlinevirtual

Definition at line 116 of file TF2.h.

◆ GetYmin()

virtual Double_t TF2::GetYmin ( ) const

inlinevirtual

Definition at line 115 of file TF2.h.

◆ Integral() [1/2]

Double_t TF1::Integral	(	Double_t	a,
		Double_t	b,
		Double_t	epsrel = `1.e-12`
	)

virtual

IntegralOneDim or analytical integral.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 575 of file TF1.cxx.

◆ Integral() [2/2]

Double_t TF2::Integral	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsrel = `1.e-6`
	)

virtual

Return Integral of a 2d function in range [ax,bx],[ay,by] with desired relative accuracy (default value of eps is 1.e-9)

Reimplemented in TF3.

Definition at line 644 of file TF2.cxx.

◆ IsInside()

Bool_t TF2::IsInside ( const Double_t * x ) const

virtual

Return kTRUE is the point is inside the function range.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 665 of file TF2.cxx.

◆ Mean2X()

virtual Double_t TF2::Mean2X	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

inlinevirtual

Definition at line 135 of file TF2.h.

◆ Mean2Y()

virtual Double_t TF2::Mean2Y	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

inlinevirtual

Definition at line 136 of file TF2.h.

◆ Moment2()

Double_t TF2::Moment2	(	Double_t	nx,
		Double_t	ax,
		Double_t	bx,
		Double_t	ny,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

virtual

Return x^nx * y^ny moment of a 2d function in range [ax,bx],[ay,by].

Author: Gene Van Buren gene@.nosp@m.bnl..nosp@m.gov

Definition at line 1009 of file TF2.cxx.

◆ operator=()

TF2 & TF2::operator= ( const TF2 & rhs )

Operator =.

Definition at line 166 of file TF2.cxx.

◆ Paint()

void TF2::Paint ( Option_t * option = "" )

virtual

Paint this 2-D function with its current attributes.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 722 of file TF2.cxx.

◆ Save()

void TF2::Save	(	Double_t	xmin,
		Double_t	xmax,
		Double_t	ymin,
		Double_t	ymax,
		Double_t	zmin,
		Double_t	zmax
	)

virtual

Save values of function in array fSave.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 776 of file TF2.cxx.

◆ SavePrimitive()

void TF2::SavePrimitive	(	std::ostream &	out,
		Option_t *	option = `""`
	)

virtual

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

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 820 of file TF2.cxx.

◆ SetContour()

void TF2::SetContour	(	Int_t	nlevels = `20`,
		const Double_t *	levels = `0`
	)

virtual

Set the number and values of contour levels.

By default the number of contour levels is set to 20.

if argument levels = 0 or missing, equidistant contours are computed

Definition at line 897 of file TF2.cxx.

◆ SetContourLevel()

void TF2::SetContourLevel	(	Int_t	level,
		Double_t	value
	)

virtual

Set value for one contour level.

Definition at line 918 of file TF2.cxx.

◆ SetNpy()

void TF2::SetNpy ( Int_t npy = 100 )

virtual

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 TF2::GetRandom2 the minimum number of points is 4, the maximum is 10000 for 2-d/3-d functions

Definition at line 932 of file TF2.cxx.

◆ SetRange() [1/3]

void TF2::SetRange	(	Double_t	xmin,
		Double_t	xmax
	)

inlinevirtual

Initialize the upper and lower bounds to draw the function.

The function range is also used in an histogram fit operation when the option "R" is specified.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 150 of file TF2.h.

◆ SetRange() [2/3]

void TF2::SetRange	(	Double_t	xmin,
		Double_t	ymin,
		Double_t	xmax,
		Double_t	ymax
	)

virtual

Initialize the upper and lower bounds to draw the function-.

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 949 of file TF2.cxx.

◆ SetRange() [3/3]

void TF2::SetRange	(	Double_t	xmin,
		Double_t	ymin,
		Double_t	zmin,
		Double_t	xmax,
		Double_t	ymax,
		Double_t	zmax
	)

inlinevirtual

Reimplemented from TF1.

Reimplemented in TF3.

Definition at line 152 of file TF2.h.

◆ Variance2X()

virtual Double_t TF2::Variance2X	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

inlinevirtual

Definition at line 138 of file TF2.h.

◆ Variance2Y()

virtual Double_t TF2::Variance2Y	(	Double_t	ax,
		Double_t	bx,
		Double_t	ay,
		Double_t	by,
		Double_t	epsilon = `0.000001`
	)

inlinevirtual

Definition at line 139 of file TF2.h.

Member Data Documentation

◆ fContour

TArrayD TF2::fContour

protected

Definition at line 35 of file TF2.h.

◆ fNpy

Int_t TF2::fNpy

protected

Definition at line 34 of file TF2.h.

◆ fYmax

Double_t TF2::fYmax

protected

Definition at line 33 of file TF2.h.

◆ fYmin

Double_t TF2::fYmin

protected

Definition at line 32 of file TF2.h.

Libraries for TF2:

[legend]

Expression using variables x and y

Expression using a user defined function

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TF2() [1/10]

◆ TF2() [2/10]

◆ TF2() [3/10]

◆ TF2() [4/10]

◆ TF2() [5/10]

◆ TF2() [6/10]

◆ TF2() [7/10]

◆ TF2() [8/10]

◆ TF2() [9/10]

◆ TF2() [10/10]

◆ ~TF2()

Member Function Documentation

◆ CentralMoment2()

◆ Copy()

◆ Covariance2XY()

◆ CreateHistogram()

◆ DistancetoPrimitive()

◆ Draw()

◆ DrawCopy()

◆ DrawDerivative()

◆ DrawIntegral()

◆ ExecuteEvent()

◆ FindMinMax()

◆ GetContour()

◆ GetContourLevel()

◆ GetMaximum() [1/2]

◆ GetMaximum() [2/2]

◆ GetMaximumXY()

◆ GetMinimum() [1/2]

◆ GetMinimum() [2/2]

◆ GetMinimumXY()

◆ GetNpy()

◆ GetObjectInfo()

◆ GetRandom() [1/2]

◆ GetRandom() [2/2]

◆ GetRandom2()

◆ GetRange() [1/6]

◆ GetRange() [2/6]

◆ GetRange() [3/6]

◆ GetRange() [4/6]

◆ GetRange() [5/6]

◆ GetRange() [6/6]

◆ GetSave()

◆ GetYmax()

◆ GetYmin()

◆ Integral() [1/2]

◆ Integral() [2/2]

◆ IsInside()

◆ Mean2X()

◆ Mean2Y()

◆ Moment2()

◆ operator=()

◆ Paint()

◆ Save()

◆ SavePrimitive()

◆ SetContour()

◆ SetContourLevel()

◆ SetNpy()

◆ SetRange() [1/3]

◆ SetRange() [2/3]

◆ SetRange() [3/3]

◆ Variance2X()

◆ Variance2Y()

Member Data Documentation

◆ fContour

◆ fNpy

◆ fYmax

◆ fYmin