A 2-Dim function with parameters.
The following types of functions can be created:
See TF1 class for the list of functions formats
Public Member Functions | |
TF2 () | |
TF2 default constructor. | |
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. | |
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. | |
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) | |
Template constructors from a pointer to any C++ class of type PtrObj with a specific member function of type MemFn. | |
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. | |
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. | |
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. | |
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) | |
Template constructors from any C++ callable object, defining the operator() (double * , double *) and returning a double. | |
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 *) | |
TF2 (const TF2 &f2) | |
Copy constructor. | |
~TF2 () override | |
F2 default destructor. | |
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]. | |
void | Copy (TObject &f2) const override |
Copy this F2 to a new F2. | |
virtual Double_t | Covariance2XY (Double_t ax, Double_t bx, Double_t ay, Double_t by, Double_t epsilon=0.000001) |
TH1 * | CreateHistogram () override |
Create a histogram from function. | |
Int_t | DistancetoPrimitive (Int_t px, Int_t py) override |
Compute distance from point px,py to a function. | |
void | Draw (Option_t *option="") override |
Draw this function with its current attributes. | |
TF1 * | DrawCopy (Option_t *option="") const override |
Draw a copy of this function with its current attributes-*. | |
TObject * | DrawDerivative (Option_t *="al") override |
Draw derivative of this function. | |
TObject * | DrawIntegral (Option_t *="al") override |
Draw integral of this function. | |
void | ExecuteEvent (Int_t event, Int_t px, Int_t py) override |
Execute action corresponding to one event. | |
virtual Int_t | GetContour (Double_t *levels=nullptr) |
Return contour values into array levels. | |
virtual Double_t | GetContourLevel (Int_t level) const |
Return the number of contour levels. | |
virtual Double_t | GetMaximum (Double_t *x) const |
Return maximum value of the function See TF2::GetMinimum. | |
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. | |
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. | |
virtual Double_t | GetMinimum (Double_t *x) const |
Return minimum/maximum value of the function. | |
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. | |
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. | |
Int_t | GetNpy () const |
char * | GetObjectInfo (Int_t px, Int_t py) const override |
Redefines TObject::GetObjectInfo. | |
Double_t | GetRandom (Double_t xmin, Double_t xmax, TRandom *rng=nullptr, Option_t *opt=nullptr) override |
Return a random number following this function shape. | |
Double_t | GetRandom (TRandom *rng=nullptr, Option_t *opt=nullptr) override |
Return a random number following this function shape. | |
virtual void | GetRandom2 (Double_t &xrandom, Double_t &yrandom, TRandom *rng=nullptr) |
Return 2 random numbers following this function shape. | |
virtual void | GetRange (Double_t &xmin, Double_t &xmax) const |
Return range of a 1-D function. | |
virtual void | GetRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const |
Return range of a 2-D function. | |
void | GetRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const override |
Return range of a 2-D function. | |
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. | |
void | GetRange (Double_t &xmin, Double_t &ymin, Double_t &zmin, Double_t &xmax, Double_t &ymax, Double_t &zmax) const override |
Return range of function. | |
virtual void | GetRange (Double_t *xmin, Double_t *xmax) const |
Return range of a generic N-D function. | |
Double_t | GetSave (const Double_t *x) override |
Get value corresponding to X in array of fSave values. | |
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. | |
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 (defined by eps) | |
TClass * | IsA () const override |
Bool_t | IsInside (const Double_t *x) const override |
Return kTRUE is the point is inside the function range. | |
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]. | |
TF2 & | operator= (const TF2 &rhs) |
Operator =. | |
void | Paint (Option_t *option="") override |
Paint this 2-D function with its current attributes. | |
void | Save (Double_t xmin, Double_t xmax, Double_t ymin, Double_t ymax, Double_t zmin, Double_t zmax) override |
Save values of function in array fSave. | |
void | SavePrimitive (std::ostream &out, Option_t *option="") override |
Save primitive as a C++ statement(s) on output stream out. | |
virtual void | SetContour (Int_t nlevels=20, const Double_t *levels=nullptr) |
Set the number and values of contour levels. | |
virtual void | SetContourLevel (Int_t level, Double_t value) |
Set value for one contour level. | |
virtual void | SetNpy (Int_t npy=100) |
Set the number of points used to draw the function. | |
void | SetRange (Double_t xmin, Double_t xmax) override |
Initialize the upper and lower bounds to draw the function. | |
void | SetRange (Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax) override |
Initialize the upper and lower bounds to draw the function-. | |
void | SetRange (Double_t xmin, Double_t ymin, Double_t zmin, Double_t xmax, Double_t ymax, Double_t zmax) override |
void | Streamer (TBuffer &) override |
Stream an object of class TF2. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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) |
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TF1 () | |
TF1 default constructor. | |
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. | |
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. | |
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. | |
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 (const) real function. | |
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. | |
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. | |
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. | |
TF1 (const TF1 &f1) | |
~TF1 () override | |
TF1 default destructor. | |
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) | |
void | Browse (TBrowser *b) override |
Browse. | |
virtual Double_t | CentralMoment (Double_t n, Double_t a, Double_t b, const Double_t *params=nullptr, 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) | |
TObject * | Clone (const char *newname=nullptr) const override |
Make a complete copy of the underlying object. | |
virtual Double_t | Derivative (Double_t x, Double_t *params=nullptr, 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. | |
virtual Double_t | Derivative2 (Double_t x, Double_t *params=nullptr, 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. | |
virtual Double_t | Derivative3 (Double_t x, Double_t *params=nullptr, 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. | |
virtual void | DrawF1 (Double_t xmin, Double_t xmax, Option_t *option="") |
Draw function between xmin and xmax. | |
virtual Double_t | Eval (Double_t x, Double_t y=0, Double_t z=0, Double_t t=0) const |
Evaluate this function. | |
virtual Double_t | EvalPar (const Double_t *x, const Double_t *params=nullptr) |
Evaluate function with given coordinates and parameters. | |
template<class T > | |
T | EvalPar (const T *x, const Double_t *params=nullptr) |
EvalPar for vectorized. | |
virtual void | FixParameter (Int_t ipar, Double_t value) |
Fix the value of a parameter for a fit operation The specified value will be used in the fit and the parameter will be constant (nor varying) during fitting Note that when using pre-defined functions (e.g gaus), one needs to use the fit option 'B' to have the fix of the paramter effective. | |
Double_t | GetChisquare () const |
Return the Chisquare after fitting. See ROOT::Fit::FitResult::Chi2() | |
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 Note that this histogram is managed by the function and in same case it is automatically deleted when some TF1 functions are called such as TF1::SetParameters, TF1::SetNpx, TF1::SetRange It is then reccomended either to clone the return object or calling again teh GetHistogram function whenever is needed. | |
virtual const TObject * | GetLinearPart (Int_t i) const |
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. | |
TMethodCall * | GetMethodCall () const |
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. | |
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. | |
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. | |
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. | |
virtual const Double_t * | GetParErrors () const |
virtual void | GetParLimits (Int_t ipar, Double_t &parmin, Double_t &parmax) const |
Return limits for parameter ipar. | |
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. | |
virtual Int_t | GetQuantiles (Int_t nprobSum, Double_t *q, const Double_t *probSum) |
Compute Quantiles for density distribution of this function. | |
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). | |
TAxis * | GetXaxis () const |
Get x axis of the function. | |
virtual Double_t | GetXmax () const |
virtual Double_t | GetXmin () const |
TAxis * | GetYaxis () const |
Get y axis of the function. | |
TAxis * | GetZaxis () const |
Get z axis of the function. (In case this object is a TF2 or TF3) | |
virtual void | GradientPar (const Double_t *x, Double_t *grad, Double_t eps=0.01) |
Compute the gradient wrt parameters If the TF1 object is based on a formula expression (TFormula) and TFormula::GenerateGradientPar() has been successfully called automatic differentiation using CLAD is used instead of the default numerical differentiation. | |
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. | |
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. | |
virtual Double_t | IntegralError (Double_t a, Double_t b, const Double_t *params=nullptr, const Double_t *covmat=nullptr, Double_t epsilon=1.E-2) |
Return Error on Integral of a parametric function between a and b due to the parameter uncertainties and their covariance matrix from the fit. | |
virtual Double_t | IntegralError (Int_t n, const Double_t *a, const Double_t *b, const Double_t *params=nullptr, const Double_t *covmat=nullptr, Double_t epsilon=1.E-2) |
Return Error on Integral of a parametric function with dimension larger than one between a[] and b[] due to the parameters uncertainties. | |
virtual Double_t | IntegralFast (Int_t num, Double_t *x, Double_t *w, Double_t a, Double_t b, Double_t *params=nullptr, Double_t epsilon=1e-12) |
Gauss-Legendre integral, see CalcGaussLegendreSamplingPoints. | |
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. | |
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. | |
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. | |
virtual Bool_t | IsEvalNormalized () const |
virtual Bool_t | IsLinear () const |
virtual Bool_t | IsValid () const |
Return kTRUE if the function is valid. | |
bool | IsVectorized () |
virtual Double_t | Mean (Double_t a, Double_t b, const Double_t *params=nullptr, Double_t epsilon=0.000001) |
virtual Double_t | Moment (Double_t n, Double_t a, Double_t b, const Double_t *params=nullptr, Double_t epsilon=0.000001) |
Return nth moment of function between a and b. | |
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 =. | |
void | Print (Option_t *option="") const override |
This method must be overridden when a class wants to print itself. | |
virtual void | ReleaseParameter (Int_t ipar) |
Release parameter number ipar during a fit operation. | |
virtual void | SetChisquare (Double_t chi2) |
virtual void | SetFitResult (const ROOT::Fit::FitResult &result, const Int_t *indpar=nullptr) |
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}. | |
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. | |
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. | |
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. | |
virtual void | SetNormalized (Bool_t flag) |
virtual void | SetNpx (Int_t npx=100) |
Set the number of points used to draw the function. | |
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 p0, double p1=TMath::QuietNaN(), double p2=TMath::QuietNaN(), double p3=TMath::QuietNaN(), double p4=TMath::QuietNaN(), double p5=TMath::QuietNaN(), double p6=TMath::QuietNaN(), double p7=TMath::QuietNaN(), double p8=TMath::QuietNaN(), double p9=TMath::QuietNaN(), double p10=TMath::QuietNaN()) |
Set parameter values. | |
virtual void | SetParent (TObject *p=nullptr) |
virtual void | SetParError (Int_t ipar, Double_t error) |
Set error for parameter number ipar. | |
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. | |
virtual void | SetParLimits (Int_t ipar, Double_t parmin, Double_t parmax) |
Set lower and upper limits for parameter ipar. | |
virtual void | SetParName (Int_t ipar, const char *name) |
Set name of parameter number ipar. | |
virtual void | SetParNames (const char *name0="", const char *name1="", const char *name2="", const char *name3="", const char *name4="", const char *name5="", const char *name6="", const char *name7="", const char *name8="", const char *name9="", const char *name10="") |
Set up to 10 parameter names. | |
virtual void | SetSavedPoint (Int_t point, Double_t value) |
Restore value of function saved at point. | |
void | SetTitle (const char *title="") override |
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. | |
virtual void | SetVectorized (Bool_t vectorized) |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
virtual void | Update () |
Called by functions such as SetRange, SetNpx, SetParameters to force the deletion of the associated histogram or Integral. | |
virtual Double_t | Variance (Double_t a, Double_t b, const Double_t *params=nullptr, Double_t epsilon=0.000001) |
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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 (""). | |
TObject * | Clone (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. | |
TClass * | IsA () const override |
Bool_t | IsSortable () const override |
void | ls (Option_t *option="") const override |
List TNamed name and title. | |
TNamed & | operator= (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 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) |
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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. | |
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 TObject * | DrawClone (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 TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. | |
virtual const char * | GetIconName () const |
Returns mime type name of object. | |
virtual Option_t * | GetOption () 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) |
TObject & | operator= (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. | |
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TAttLine () | |
AttLine default constructor. | |
TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth) | |
AttLine normal constructor. | |
virtual | ~TAttLine () |
AttLine destructor. | |
void | Copy (TAttLine &attline) const |
Copy this line attributes to a new TAttLine. | |
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. | |
virtual Color_t | GetLineColor () const |
Return the line color. | |
virtual Style_t | GetLineStyle () const |
Return the line style. | |
virtual Width_t | GetLineWidth () const |
Return the line width. | |
virtual void | Modify () |
Change current line attributes if necessary. | |
virtual void | ResetAttLine (Option_t *option="") |
Reset this line attributes to default values. | |
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. | |
virtual void | SetLineAttributes () |
Invoke the DialogCanvas Line attributes. | |
virtual void | SetLineColor (Color_t lcolor) |
Set the line color. | |
virtual void | SetLineColorAlpha (Color_t lcolor, Float_t lalpha) |
Set a transparent line color. | |
virtual void | SetLineStyle (Style_t lstyle) |
Set the line style. | |
virtual void | SetLineWidth (Width_t lwidth) |
Set the line width. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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TAttFill () | |
AttFill default constructor. | |
TAttFill (Color_t fcolor, Style_t fstyle) | |
AttFill normal constructor. | |
virtual | ~TAttFill () |
AttFill destructor. | |
void | Copy (TAttFill &attfill) const |
Copy this fill attributes to a new TAttFill. | |
virtual Color_t | GetFillColor () const |
Return the fill area color. | |
virtual Style_t | GetFillStyle () const |
Return the fill area style. | |
virtual Bool_t | IsTransparent () const |
virtual void | Modify () |
Change current fill area attributes if necessary. | |
virtual void | ResetAttFill (Option_t *option="") |
Reset this fill attributes to default values. | |
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. | |
virtual void | SetFillAttributes () |
Invoke the DialogCanvas Fill attributes. | |
virtual void | SetFillColor (Color_t fcolor) |
Set the fill area color. | |
virtual void | SetFillColorAlpha (Color_t fcolor, Float_t falpha) |
Set a transparent fill color. | |
virtual void | SetFillStyle (Style_t fstyle) |
Set the fill area style. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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TAttMarker () | |
TAttMarker default constructor. | |
TAttMarker (Color_t color, Style_t style, Size_t msize) | |
TAttMarker normal constructor. | |
virtual | ~TAttMarker () |
TAttMarker destructor. | |
void | Copy (TAttMarker &attmarker) const |
Copy this marker attributes to a new TAttMarker. | |
virtual Color_t | GetMarkerColor () const |
Return the marker color. | |
virtual Size_t | GetMarkerSize () const |
Return the marker size. | |
virtual Style_t | GetMarkerStyle () const |
Return the marker style. | |
virtual void | Modify () |
Change current marker attributes if necessary. | |
virtual void | ResetAttMarker (Option_t *toption="") |
Reset this marker attributes to the default values. | |
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. | |
virtual void | SetMarkerAttributes () |
Invoke the DialogCanvas Marker attributes. | |
virtual void | SetMarkerColor (Color_t mcolor=1) |
Set the marker color. | |
virtual void | SetMarkerColorAlpha (Color_t mcolor, Float_t malpha) |
Set a transparent marker color. | |
virtual void | SetMarkerSize (Size_t msize=1) |
Set the marker size. | |
virtual void | SetMarkerStyle (Style_t mstyle=1) |
Set the marker style. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Static Public Member Functions | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
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static void | AbsValue (Bool_t reject=kTRUE) |
Static function: set the fgAbsValue flag. | |
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. | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
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. | |
static Double_t | DerivativeError () |
Static function returning the error of the last call to the of Derivative's functions. | |
static TF1 * | GetCurrent () |
Static function returning the current function being processed. | |
static void | InitStandardFunctions () |
Create the basic function objects. | |
static Bool_t | RejectedPoint () |
See TF1::RejectPoint above. | |
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. | |
static void | SetCurrent (TF1 *f1) |
Static function setting the current function. | |
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static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
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static TClass * | Class () |
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. | |
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static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
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static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
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static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static Width_t | GetMarkerLineWidth (Style_t style) |
Internal helper function that returns the line width of the given marker style (0 = filled marker) | |
static Style_t | GetMarkerStyleBase (Style_t style) |
Internal helper function that returns the corresponding marker style with line width 1 for the given style. | |
Protected Member Functions | |
virtual Double_t | FindMinMax (Double_t *x, bool findmax) const |
Return minimum/maximum value of the function. | |
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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. | |
Bool_t | ComputeCdfTable (Option_t *opt) |
Compute the cumulative function at fNpx points between fXmin and fXmax. | |
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. | |
void | DoInitialize (EAddToList addToGlobList) |
Common initialization of the TF1. | |
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. | |
void | IntegrateForNormalization () |
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virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). | |
void | MakeZombie () |
Protected Attributes | |
TArrayD | fContour |
Array to display contour levels. | |
Int_t | fNpy |
Number of points along y used for the graphical representation. | |
Double_t | fYmax |
Upper bound for the range in y. | |
Double_t | fYmin |
Lower bound for the range in y. | |
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std::vector< Double_t > | fAlpha |
! Array alpha. for each bin in x the deconvolution r of fIntegral | |
std::vector< Double_t > | fBeta |
! Array beta. is approximated by x = alpha +beta*r *gamma*r**2 | |
Double_t | fChisquare {} |
Function fit chisquare. | |
std::unique_ptr< TF1AbsComposition > | fComposition |
Pointer to composition (NSUM or CONV) | |
std::unique_ptr< TFormula > | fFormula |
Pointer to TFormula in case when user define formula. | |
std::unique_ptr< TF1FunctorPointer > | fFunctor |
! Functor object to wrap any C++ callable object | |
std::vector< Double_t > | fGamma |
! Array gamma. | |
TH1 * | fHistogram {nullptr} |
! Pointer to histogram used for visualisation | |
std::vector< Double_t > | fIntegral |
! Integral of function binned on fNpx bins | |
Double_t | fMaximum {-1111} |
Maximum value for plotting. | |
std::unique_ptr< TMethodCall > | fMethodCall |
! Pointer to MethodCall in case of interpreted function | |
Double_t | fMinimum {-1111} |
Minimum value for plotting. | |
Int_t | fNDF {} |
Number of degrees of freedom in the fit. | |
Int_t | fNdim {} |
Function dimension. | |
Bool_t | fNormalized {false} |
Normalization option (false by default) | |
Double_t | fNormIntegral {} |
Integral of the function before being normalized. | |
Int_t | fNpar {} |
Number of parameters. | |
Int_t | fNpfits {} |
Number of points used in the fit. | |
Int_t | fNpx {100} |
Number of points used for the graphical representation. | |
std::unique_ptr< TF1Parameters > | fParams |
Pointer to Function parameters object (exists only for not-formula functions) | |
TObject * | fParent {nullptr} |
! Parent object hooking this function (if one) | |
std::vector< Double_t > | fParErrors |
Array of errors of the fNpar parameters. | |
std::vector< Double_t > | fParMax |
Array of upper limits of the fNpar parameters. | |
std::vector< Double_t > | fParMin |
Array of lower limits of the fNpar parameters. | |
std::vector< Double_t > | fSave |
Array of fNsave function values. | |
EFType | fType {EFType::kTemplScalar} |
Double_t | fXmax {-1111} |
Upper bounds for the range. | |
Double_t | fXmin {-1111} |
Lower bounds for the range. | |
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TString | fName |
TString | fTitle |
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Color_t | fLineColor |
Line color. | |
Style_t | fLineStyle |
Line style. | |
Width_t | fLineWidth |
Line width. | |
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Color_t | fFillColor |
Fill area color. | |
Style_t | fFillStyle |
Fill area style. | |
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Color_t | fMarkerColor |
Marker color. | |
Size_t | fMarkerSize |
Marker size. | |
Style_t | fMarkerStyle |
Marker style. | |
Additional Inherited Members | |
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enum class | EAddToList { kDefault , kAdd , kNo } |
Add to list behavior. More... | |
enum | EStatusBits { kNotGlobal = (1ULL << ( 10 )) , kNotDraw = (1ULL << ( 9 )) } |
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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 )) } |
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enum | EFType { kFormula = 0 , kPtrScalarFreeFcn , kInterpreted , kTemplVec , kTemplScalar , kCompositionFcn } |
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enum | { kOnlyPrepStep = (1ULL << ( 3 )) } |
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static std::atomic< Bool_t > | fgAbsValue |
static std::atomic< Bool_t > | fgAddToGlobList |
static TF1 * | fgCurrent = nullptr |
static Bool_t | fgRejectPoint = kFALSE |
#include <TF2.h>
TF2::TF2 | ( | const char * | name, |
const char * | formula, | ||
Double_t | xmin = 0 , |
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Double_t | xmax = 1 , |
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Double_t | ymin = 0 , |
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Double_t | ymax = 1 , |
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Option_t * | opt = nullptr |
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) |
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.
TF2::TF2 | ( | const char * | name, |
Double_t(*)(Double_t *, Double_t *) | fcn, | ||
Double_t | xmin = 0 , |
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Double_t | xmax = 1 , |
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Double_t | ymin = 0 , |
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Double_t | ymax = 1 , |
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Int_t | npar = 0 , |
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Int_t | ndim = 2 |
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) |
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.
TF2::TF2 | ( | const char * | name, |
Double_t(*)(const Double_t *, const Double_t *) | fcn, | ||
Double_t | xmin = 0 , |
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Double_t | xmax = 1 , |
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Double_t | ymin = 0 , |
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Double_t | ymax = 1 , |
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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.
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static |
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inlinestaticconstexpr |
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overridevirtual |
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overridevirtual |
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inlinestatic |
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overridevirtual |
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.
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.
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.
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.
Return maximum value of the function See TF2::GetMinimum.
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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.
Compute the X and Y values corresponding to the maximum value of the function.
Return the maximum value of the function See TF2::GetMinimumXY
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
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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.
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
Redefines TObject::GetObjectInfo.
Displays the function value corresponding to cursor position px,py
Reimplemented from TF1.
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:
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.
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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
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