Logo ROOT  
Reference Guide
 
Loading...
Searching...
No Matches
TF1.h
Go to the documentation of this file.
1// @(#)root/hist:$Id$
2// Author: Rene Brun 18/08/95
3
4/*************************************************************************
5 * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *
6 * All rights reserved. *
7 * *
8 * For the licensing terms see $ROOTSYS/LICENSE. *
9 * For the list of contributors see $ROOTSYS/README/CREDITS. *
10 *************************************************************************/
11// ---------------------------------- F1.h
12
13#ifndef ROOT_TF1
14#define ROOT_TF1
15
16//////////////////////////////////////////////////////////////////////////
17// //
18// TF1 //
19// //
20// The Parametric 1-D function //
21// //
22//////////////////////////////////////////////////////////////////////////
23
24#include "RConfigure.h"
25#include <functional>
26#include <cassert>
27#include <memory>
28#include <string>
29#include <vector>
30#include "TFormula.h"
31#include "TMethodCall.h"
32#include "TAttLine.h"
33#include "TAttFill.h"
34#include "TAttMarker.h"
35#include "TF1AbsComposition.h"
36#include "TMath.h"
37#include "TMatrixDSymfwd.h"
38#include "Math/Types.h"
39#include "Math/ParamFunctor.h"
40
41#include <string>
42
43class TF1;
44class TH1;
45class TAxis;
46class TRandom;
47
48namespace ROOT {
49 namespace Fit {
50 class FitResult;
51 }
52}
53
55public:
56 TF1Parameters() {} // needed for the I/O
58 fParameters(std::vector<Double_t>(npar)),
59 fParNames(std::vector<std::string>(npar))
60 {
61 for (int i = 0; i < npar; ++i) {
62 fParNames[i] = std::string(TString::Format("p%d", i).Data());
63 }
64 }
65 // copy constructor
70 // assignment
72 {
73 if (&rhs == this) return *this;
74 fParameters = rhs.fParameters;
75 fParNames = rhs.fParNames;
76 return *this;
77 }
78 virtual ~TF1Parameters() {}
79
80 // getter methods
82 {
83 return (CheckIndex(iparam)) ? fParameters[iparam] : 0;
84 }
85 Double_t GetParameter(const char *name) const
86 {
88 }
89 const Double_t *GetParameters() const
90 {
91 return fParameters.data();
92 }
93 const std::vector<double> &ParamsVec() const
94 {
95 return fParameters;
96 }
97
98 Int_t GetParNumber(const char *name) const;
99
100 const char *GetParName(Int_t iparam) const
101 {
102 return (CheckIndex(iparam)) ? fParNames[iparam].c_str() : "";
103 }
104
105
106 // setter methods
108 {
109 if (!CheckIndex(iparam)) return;
111 }
112 void SetParameters(const Double_t *params)
113 {
114 std::copy(params, params + fParameters.size(), fParameters.begin());
115 }
116 template <typename... Args>
117 void SetParameters(Double_t arg1, Args &&... args);
118
119 void SetParameter(const char *name, Double_t value)
120 {
122 }
123 void SetParName(Int_t iparam, const char *name)
124 {
125 if (!CheckIndex(iparam)) return;
126 fParNames[iparam] = std::string(name);
127 }
128 template <typename... Args>
129 void SetParNames(Args &&... args);
130
131 ClassDef(TF1Parameters, 1) // The Parameters of a parameteric function
132private:
133
134 bool CheckIndex(Int_t i) const
135 {
136 return (i >= 0 && i < int(fParameters.size()));
137 }
138
139 std::vector<Double_t> fParameters; // parameter values
140 std::vector<std::string> fParNames; // parameter names
141};
142
143/// Set parameter values.
144/// NaN values will be skipped, meaning that the corresponding parameters will not be changed.
145template <typename... Args>
147{
148 int i = 0;
149 for (double val : {arg1, static_cast<Double_t>(args)...}) {
150 if(!TMath::IsNaN(val)) SetParameter(i++, val);
151 }
152}
153
154/// Set parameter names.
155/// Empty strings will be skipped, meaning that the corresponding name will not be changed.
156template <typename... Args>
157void TF1Parameters::SetParNames(Args &&...args)
158{
159 int i = 0;
160 for (auto name : {static_cast<std::string const&>(args)...}) {
161 if(!name.empty()) SetParName(i++, name.c_str());
162 }
163}
164
165namespace ROOT {
166 namespace Internal {
167 /// %Internal class used by TF1 for defining
168 /// template specialization for different TF1 constructors
169 template<class Func>
170 struct TF1Builder {
171 static void Build(TF1 *f, Func func);
172 };
173
174 template<class Func>
175 struct TF1Builder<Func *> {
176 static void Build(TF1 *f, Func *func);
177 };
178 }
179}
180
181
182class TF1 : public TNamed, public TAttLine, public TAttFill, public TAttMarker {
183
184 template<class Func>
186
187public:
188 /// Add to list behavior
189 enum class EAddToList {
190 kDefault,
191 kAdd,
192 kNo
193 };
194
195
198 virtual TF1FunctorPointer * Clone() const = 0;
199 };
200
201protected:
202
203 enum EFType {
204 kFormula = 0, ///< Formula functions which can be stored,
205 kPtrScalarFreeFcn, ///< Pointer to scalar free function,
206 kInterpreted, ///< Interpreted functions constructed by name,
207 kTemplVec, ///< Vectorized free functions or TemplScalar functors evaluating on vectorized parameters,
208 kTemplScalar, ///< TemplScalar functors evaluating on scalar parameters
210 }; // formula based on composition class (e.g. NSUM, CONV)
211
212 Double_t fXmin{-1111}; ///< Lower bounds for the range
213 Double_t fXmax{-1111}; ///< Upper bounds for the range
214 Int_t fNpar{}; ///< Number of parameters
215 Int_t fNdim{}; ///< Function dimension
216 Int_t fNpx{100}; ///< Number of points used for the graphical representation
218 Int_t fNpfits{}; ///< Number of points used in the fit
219 Int_t fNDF{}; ///< Number of degrees of freedom in the fit
220 Double_t fChisquare{}; ///< Function fit chisquare
221 Double_t fMinimum{-1111}; ///< Minimum value for plotting
222 Double_t fMaximum{-1111}; ///< Maximum value for plotting
223 std::vector<Double_t> fParErrors; ///< Array of errors of the fNpar parameters
224 std::vector<Double_t> fParMin; ///< Array of lower limits of the fNpar parameters
225 std::vector<Double_t> fParMax; ///< Array of upper limits of the fNpar parameters
226 std::vector<Double_t> fSave; ///< Array of fNsave function values
227 std::vector<Double_t> fIntegral; ///<! Integral of function binned on fNpx bins
228 std::vector<Double_t> fAlpha; ///<! Array alpha. for each bin in x the deconvolution r of fIntegral
229 std::vector<Double_t> fBeta; ///<! Array beta. is approximated by x = alpha +beta*r *gamma*r**2
230 std::vector<Double_t> fGamma; ///<! Array gamma.
231 TObject *fParent{nullptr}; ///<! Parent object hooking this function (if one)
232 TH1 *fHistogram{nullptr}; ///<! Pointer to histogram used for visualisation
233 std::unique_ptr<TMethodCall> fMethodCall; ///<! Pointer to MethodCall in case of interpreted function
234 Bool_t fNormalized{false}; ///< Normalization option (false by default)
235 Double_t fNormIntegral{}; ///< Integral of the function before being normalized
236 std::unique_ptr<TF1FunctorPointer> fFunctor; ///<! Functor object to wrap any C++ callable object
237 std::unique_ptr<TFormula> fFormula; ///< Pointer to TFormula in case when user define formula
238 std::unique_ptr<TF1Parameters> fParams; ///< Pointer to Function parameters object (exists only for not-formula functions)
239 std::unique_ptr<TF1AbsComposition> fComposition; ///< Pointer to composition (NSUM or CONV)
240
241 /// General constructor for TF1. Most of the other constructors delegate on it
242 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):
245 {
246 fParams.reset(params);
247 fFunctor.reset(functor);
249 }
250
251private:
252 // NSUM parsing helper functions
255 TString &formula, int termStart, int termEnd,
258
259protected:
260
261 template <class T>
269
270
271
272
273 static std::atomic<Bool_t> fgAbsValue; //use absolute value of function when computing integral
274 static Bool_t fgRejectPoint; //True if point must be rejected in a fit
275 static std::atomic<Bool_t> fgAddToGlobList; //True if we want to register the function in the global list
276 static TF1 *fgCurrent; //pointer to current function being processed
277
278
279 //void CreateFromFunctor(const char *name, Int_t npar, Int_t ndim = 1);
281
283 // tabulate the cumulative function integral at fNpx points. Used by GetRandom
285
286 virtual Double_t GetMinMaxNDim(Double_t *x , Bool_t findmax, Double_t epsilon = 0, Int_t maxiter = 0) const;
287 virtual void GetRange(Double_t *xmin, Double_t *xmax) const;
289
291
292public:
293
294 // TF1 status bits
296 kNotGlobal = BIT(10), // don't register in global list of functions
297 kNotDraw = BIT(9) // don't draw the function when in a TH1
298 };
299
300 TF1();
301 TF1(const char *name, const char *formula, Double_t xmin = 0, Double_t xmax = 1, EAddToList addToGlobList = EAddToList::kDefault, bool vectorize = false);
302 TF1(const char *name, const char *formula, Double_t xmin, Double_t xmax, Option_t * option); // same as above but using a string for option
305 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);
306
307 template <class T>
308 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):
310 {
311 fType = std::is_same<T, double>::value ? TF1::EFType::kTemplScalar : TF1::EFType::kTemplVec;
312 }
313
314 ////////////////////////////////////////////////////////////////////////////////
315 /// Constructor using a pointer to function.
316 ///
317 /// \param[in] name object name
318 /// \param[in] fcn pointer to function
319 /// \param[in] xmin,xmax x axis limits
320 /// \param[in] npar is the number of free parameters used by the function
321 /// \param[in] ndim number of dimensions
322 /// \param[in] addToGlobList boolean marking if it should be added to global list
323 ///
324 /// This constructor creates a function of type C when invoked
325 /// with the normal C++ compiler.
326 ///
327 ///
328 /// \warning A function created with this constructor cannot be Cloned
329
330
331 template <class T>
335
336 // Constructors using functors (compiled mode only)
338
339 // Template constructors from any C++ callable object, defining the operator() (double * , double *)
340 // and returning a double.
341 // The class name is not needed when using compile code, while it is required when using
342 // interpreted code via the specialized constructor with void *.
343 // An instance of the C++ function class or its pointer can both be used. The former is reccomended when using
344 // C++ compiled code, but if CINT compatibility is needed, then a pointer to the function class must be used.
345 // xmin and xmax specify the plotting range, npar is the number of parameters.
346 // See the tutorial math/exampleFunctor.C for an example of using this constructor
347 template <typename Func>
350 {
351 //actual fType set in TF1Builder
353 }
354
355 // backward compatible interface
356 template <typename Func>
362
363
364 // Template constructors from a pointer to any C++ class of type PtrObj with a specific member function of type
365 // MemFn.
366 // The member function must have the signature of (double * , double *) and returning a double.
367 // The class name and the method name are not needed when using compile code
368 // (the member function pointer is used in this case), while they are required when using interpreted
369 // code via the specialized constructor with void *.
370 // xmin and xmax specify the plotting range, npar is the number of parameters.
371 // See the tutorial math/exampleFunctor.C for an example of using this constructor
372 template <class PtrObj, typename MemFn>
376
377 // backward compatible interface
378 template <class PtrObj, typename MemFn>
382
383 TF1(const TF1 &f1);
384 TF1 &operator=(const TF1 &rhs);
385 ~TF1() override;
386 virtual void AddParameter(const TString &name, Double_t value)
387 {
388 if (fFormula) fFormula->AddParameter(name, value);
389 }
390 // virtual void AddParameters(const pair<TString,Double_t> *pairs, Int_t size) { fFormula->AddParameters(pairs,size); }
391 // virtual void AddVariable(const TString &name, Double_t value = 0) { if (fFormula) fFormula->AddVariable(name,value); }
392 // virtual void AddVariables(const TString *vars, Int_t size) { if (fFormula) fFormula->AddVariables(vars,size); }
395 void Browse(TBrowser *b) override;
396 void Copy(TObject &f1) const override;
397 TObject *Clone(const char *newname = nullptr) const override;
398 virtual Double_t Derivative(Double_t x, Double_t *params = nullptr, Double_t epsilon = 0.001) const;
399 virtual Double_t Derivative2(Double_t x, Double_t *params = nullptr, Double_t epsilon = 0.001) const;
400 virtual Double_t Derivative3(Double_t x, Double_t *params = nullptr, Double_t epsilon = 0.001) const;
401 static Double_t DerivativeError();
402 Int_t DistancetoPrimitive(Int_t px, Int_t py) override;
403 void Draw(Option_t *option = "") override;
404 virtual TF1 *DrawCopy(Option_t *option = "") const;
405 virtual TObject *DrawDerivative(Option_t *option = "al"); // *MENU*
406 virtual TObject *DrawIntegral(Option_t *option = "al"); // *MENU*
407 virtual void DrawF1(Double_t xmin, Double_t xmax, Option_t *option = "");
408 virtual Double_t Eval(Double_t x, Double_t y = 0, Double_t z = 0, Double_t t = 0) const;
409 //template <class T> T Eval(T x, T y = 0, T z = 0, T t = 0) const;
410 virtual Double_t EvalPar(const Double_t *x, const Double_t *params = nullptr);
411 template <class T> T EvalPar(const T *x, const Double_t *params = nullptr);
412 virtual Double_t operator()(Double_t x, Double_t y = 0, Double_t z = 0, Double_t t = 0) const;
413 template <class T> T operator()(const T *x, const Double_t *params = nullptr);
414 Double_t EvalUncertainty(Double_t x, const TMatrixDSym *covMatrix = nullptr) const;
415 void ExecuteEvent(Int_t event, Int_t px, Int_t py) override;
416 virtual void FixParameter(Int_t ipar, Double_t value);
417 /// Return true if function has data in fSave buffer
418 Bool_t HasSave() const { return !fSave.empty(); }
420 {
421 return (fType == EFType::kTemplVec) || (fType == EFType::kFormula && fFormula && fFormula->IsVectorized());
422 }
423 /// Return the Chisquare after fitting. See ROOT::Fit::FitResult::Chi2()
425 {
426 return fChisquare;
427 }
428 virtual TH1 *GetHistogram() const;
430 {
432 }
434 {
435 return fFormula.get();
436 }
437 virtual const TFormula *GetFormula() const
438 {
439 return fFormula.get();
440 }
442 {
443 return (fFormula) ? fFormula->GetExpFormula(option) : TString();
444 }
445 virtual const TObject *GetLinearPart(Int_t i) const
446 {
447 return (fFormula) ? fFormula->GetLinearPart(i) : nullptr;
448 }
449 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;
450 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;
451 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;
452 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;
454 {
455 return fMaximum;
456 }
458 {
459 return fMinimum;
460 }
461 virtual Int_t GetNpar() const
462 {
463 return fNpar;
464 }
465 virtual Int_t GetNdim() const
466 {
467 return fNdim;
468 }
469 virtual Int_t GetNDF() const;
470 virtual Int_t GetNpx() const
471 {
472 return fNpx;
473 }
475 {
476 return fMethodCall.get();
477 }
478 virtual Int_t GetNumber() const
479 {
480 return (fFormula) ? fFormula->GetNumber() : 0;
481 }
482 virtual Int_t GetNumberFreeParameters() const;
483 virtual Int_t GetNumberFitPoints() const
484 {
485 return fNpfits;
486 }
487 char *GetObjectInfo(Int_t px, Int_t py) const override;
489 {
490 return fParent;
491 }
492 virtual Double_t GetParameter(Int_t ipar) const
493 {
494 return (fFormula) ? fFormula->GetParameter(ipar) : fParams->GetParameter(ipar);
495 }
496 virtual Double_t GetParameter(const TString &name) const
497 {
498 return (fFormula) ? fFormula->GetParameter(name) : fParams->GetParameter(name);
499 }
500 virtual Double_t *GetParameters() const
501 {
502 return (fFormula) ? fFormula->GetParameters() : const_cast<Double_t *>(fParams->GetParameters());
503 }
504 virtual void GetParameters(Double_t *params)
505 {
506 if (fFormula) fFormula->GetParameters(params);
507 else std::copy(fParams->ParamsVec().begin(), fParams->ParamsVec().end(), params);
508 }
509 virtual const char *GetParName(Int_t ipar) const
510 {
511 return (fFormula) ? fFormula->GetParName(ipar) : fParams->GetParName(ipar);
512 }
513 virtual Int_t GetParNumber(const char *name) const
514 {
515 return (fFormula) ? fFormula->GetParNumber(name) : fParams->GetParNumber(name);
516 }
517 virtual Double_t GetParError(Int_t ipar) const;
518 virtual Double_t GetParError(const char *name) const
519 {
521 }
522 virtual const Double_t *GetParErrors() const
523 {
524 return fParErrors.data();
525 }
526 virtual void GetParLimits(Int_t ipar, Double_t &parmin, Double_t &parmax) const;
527 virtual Double_t GetProb() const;
528 virtual Int_t GetQuantiles(Int_t n, Double_t *xp, const Double_t *p);
529 virtual Double_t GetRandom(TRandom * rng = nullptr, Option_t * opt = nullptr);
530 virtual Double_t GetRandom(Double_t xmin, Double_t xmax, TRandom * rng = nullptr, Option_t * opt = nullptr);
531 virtual void GetRange(Double_t &xmin, Double_t &xmax) const;
532 virtual void GetRange(Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const;
533 virtual void GetRange(Double_t &xmin, Double_t &ymin, Double_t &zmin, Double_t &xmax, Double_t &ymax, Double_t &zmax) const;
534 virtual Double_t GetSave(const Double_t *x);
535 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;
536 virtual Double_t GetXmin() const
537 {
538 return fXmin;
539 }
540 virtual Double_t GetXmax() const
541 {
542 return fXmax;
543 }
544 TAxis *GetXaxis() const ;
545 TAxis *GetYaxis() const ;
546 TAxis *GetZaxis() const ;
548 {
549 return (fFormula) ? fFormula->GetVariable(name) : 0;
550 }
551 virtual Double_t GradientPar(Int_t ipar, const Double_t *x, Double_t eps = 0.01) const;
552 template <class T>
553 T GradientPar(Int_t ipar, const T *x, Double_t eps = 0.01) const;
554 template <class T>
555 T GradientParTempl(Int_t ipar, const T *x, Double_t eps = 0.01) const;
556
557 virtual void GradientPar(const Double_t *x, Double_t *grad, Double_t eps = 0.01) const;
558 template <class T>
559 void GradientPar(const T *x, T *grad, Double_t eps = 0.01) const;
560 template <class T>
561 void GradientParTempl(const T *x, T *grad, Double_t eps = 0.01) const;
562
563 virtual void InitArgs(const Double_t *x, const Double_t *params);
564 static void InitStandardFunctions();
565 virtual Double_t Integral(Double_t a, Double_t b, Double_t epsrel = 1.e-12);
567 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);
568 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);
569 // virtual Double_t IntegralFast(const TGraph *g, Double_t a, Double_t b, Double_t *params = nullptr);
570 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);
577 virtual Bool_t IsEvalNormalized() const
578 {
579 return fNormalized;
580 }
581 /// return kTRUE if the point is inside the function range
582 virtual Bool_t IsInside(const Double_t *x) const
583 {
584 return !((x[0] < fXmin) || (x[0] > fXmax));
585 }
586 virtual Bool_t IsLinear() const
587 {
588 return (fFormula) ? fFormula->IsLinear() : false;
589 }
590 virtual Bool_t IsValid() const;
591 void Print(Option_t *option = "") const override;
592 void Paint(Option_t *option = "") override;
593 virtual void ReleaseParameter(Int_t ipar);
595 void SavePrimitive(std::ostream &out, Option_t *option = "") override;
597 {
599 }
600 virtual void SetFitResult(const ROOT::Fit::FitResult &result, const Int_t *indpar = nullptr);
601 template <class PtrObj, typename MemFn>
603 template <typename Func>
604 void SetFunction(Func f);
605 virtual void SetMaximum(Double_t maximum = -1111); // *MENU*
606 virtual void SetMinimum(Double_t minimum = -1111); // *MENU*
607 virtual void SetNDF(Int_t ndf);
609 {
610 fNpfits = npfits;
611 }
613 {
615 Update();
616 }
617 inline void SetNdim(Int_t ndim)
618 {
619 fNdim = ndim;
620 Update();
621 }
622 virtual void SetNpx(Int_t npx = 100); // *MENU*
623 virtual void SetParameter(Int_t param, Double_t value)
624 {
625 (fFormula) ? fFormula->SetParameter(param, value) : fParams->SetParameter(param, value);
626 Update();
627 }
628 virtual void SetParameter(const TString &name, Double_t value)
629 {
630 (fFormula) ? fFormula->SetParameter(name, value) : fParams->SetParameter(name, value);
631 Update();
632 }
633 virtual void SetParameters(const Double_t *params)
634 {
635 (fFormula) ? fFormula->SetParameters(params) : fParams->SetParameters(params);
636 Update();
637 }
638 /// Set parameter values.
639 /// NaN values will be skipped, meaning that the corresponding parameters will not be changed.
640 virtual void SetParameters(double p0, double p1 = TMath::QuietNaN(), double p2 = TMath::QuietNaN(),
641 double p3 = TMath::QuietNaN(), double p4 = TMath::QuietNaN(), double p5 = TMath::QuietNaN(),
642 double p6 = TMath::QuietNaN(), double p7 = TMath::QuietNaN(), double p8 = TMath::QuietNaN(),
643 double p9 = TMath::QuietNaN(), double p10 = TMath::QuietNaN())
644 {
645 // Note: this is not made a variadic template method because it would
646 // presumably break the context menu in the TBrowser. Also, probably this
647 // method should not be virtual, because if the user wants to change
648 // parameter setting behavior, the SetParameter() method can be
649 // overridden.
650 if (fFormula) fFormula->SetParameters(p0, p1, p2, p3, p4, p5, p6, p7, p8, p9, p10);
651 else fParams->SetParameters(p0, p1, p2, p3, p4, p5, p6, p7, p8, p9, p10);
652 Update();
653 } // *MENU*
654 virtual void SetParName(Int_t ipar, const char *name);
655 virtual void SetParNames(const char *name0 = "", const char *name1 = "", const char *name2 = "",
656 const char *name3 = "", const char *name4 = "", const char *name5 = "",
657 const char *name6 = "", const char *name7 = "", const char *name8 = "",
658 const char *name9 = "", const char *name10 = ""); // *MENU*
659 virtual void SetParError(Int_t ipar, Double_t error);
660 virtual void SetParErrors(const Double_t *errors);
661 virtual void SetParLimits(Int_t ipar, Double_t parmin, Double_t parmax);
662 virtual void SetParent(TObject *p = nullptr)
663 {
664 fParent = p;
665 }
666 virtual void SetRange(Double_t xmin, Double_t xmax); // *MENU*
669 virtual void SetSavedPoint(Int_t point, Double_t value);
670 void SetTitle(const char *title = "") override; // *MENU*
672 {
674 fFormula->SetVectorized(vectorized);
675 else
676 Warning("SetVectorized", "Can only set vectorized flag on formula-based TF1");
677 }
678 virtual void Update();
679
680 static TF1 *GetCurrent();
681 static void AbsValue(Bool_t reject = kTRUE);
682 static void RejectPoint(Bool_t reject = kTRUE);
683 static Bool_t RejectedPoint();
684 static void SetCurrent(TF1 *f1);
685
686 //Moments
687 virtual Double_t Moment(Double_t n, Double_t a, Double_t b, const Double_t *params = nullptr, Double_t epsilon = 0.000001);
688 virtual Double_t CentralMoment(Double_t n, Double_t a, Double_t b, const Double_t *params = nullptr, Double_t epsilon = 0.000001);
689 virtual Double_t Mean(Double_t a, Double_t b, const Double_t *params = nullptr, Double_t epsilon = 0.000001)
690 {
691 return Moment(1, a, b, params, epsilon);
692 }
693 virtual Double_t Variance(Double_t a, Double_t b, const Double_t *params = nullptr, Double_t epsilon = 0.000001)
694 {
695 return CentralMoment(2, a, b, params, epsilon);
696 }
697
698 //some useful static utility functions to compute sampling points for Integral
699 //static void CalcGaussLegendreSamplingPoints(TGraph *g, Double_t eps=3.0e-11);
700 //static TGraph *CalcGaussLegendreSamplingPoints(Int_t num=21, Double_t eps=3.0e-11);
701 static void CalcGaussLegendreSamplingPoints(Int_t num, Double_t *x, Double_t *w, Double_t eps = 3.0e-11);
702
703private:
704 template <class T>
705 T EvalParTempl(const T *data, const Double_t *params = nullptr);
706
707#ifdef R__HAS_VECCORE
708 inline double EvalParVec(const Double_t *data, const Double_t *params);
709#endif
710
711 ClassDefOverride(TF1, 12) // The Parametric 1-D function
712};
713
714namespace ROOT {
715 namespace Internal {
716
717 template<class Func>
718 void TF1Builder<Func>::Build(TF1 *f, Func func)
719 {
720 // check if vector interface is supported by Func
721 if constexpr(std::is_invocable_r_v<Double_v, Func, Double_v*, double *>) {
722 // if ROOT was not built with veccore and vc, Double_v is just an alias for the scalar double
723 f->fType = std::is_same<Double_v, double>::value ? TF1::EFType::kTemplScalar : TF1::EFType::kTemplVec;
725 } else {
728 }
729
730 f->fParams = std::make_unique<TF1Parameters>(f->fNpar);
731 }
732
733 template<class Func>
734 void TF1Builder<Func *>::Build(TF1 *f, Func *func)
735 {
736 // check if vector interface is supported by Func
737 if constexpr(std::is_invocable_r_v<Double_v, Func, Double_v*, double *>) {
738 // if ROOT was not built with veccore and vc, Double_v is just an alias for the scalar double
739 f->fType = std::is_same<Double_v, double>::value ? TF1::EFType::kTemplScalar : TF1::EFType::kTemplVec;
741 } else {
744 }
745
746 f->fParams = std::make_unique<TF1Parameters>(f->fNpar);
747 }
748
749 /// TF1 building from a string
750 /// used to build a TFormula based on a lambda function
751 template<>
752 struct TF1Builder<const char *> {
753 static void Build(TF1 *f, const char *formula)
754 {
755 f->fType = TF1::EFType::kFormula;
756 f->fFormula = std::make_unique<TFormula>("tf1lambda", formula, f->fNdim, f->fNpar, false);
757 TString formulaExpression(formula);
758 Ssiz_t first = formulaExpression.Index("return") + 7;
759 Ssiz_t last = formulaExpression.Last(';');
760 TString title = formulaExpression(first, last - first);
761 f->SetTitle(title);
762 }
763 };
764
765 inline void
766 EvalParMultiDim(TF1 *func, Double_t *out, const Double_t *x, std::size_t size, std::size_t rows, Double_t *params)
767 {
768 for (size_t i = 0; i < rows; i++) {
769 out[i] = func->EvalPar(x + i * size, params);
770 }
771 }
772 }
773}
774
776{
777 return Eval(x, y, z, t);
778}
779
780template <class T>
781inline T TF1::operator()(const T *x, const Double_t *params)
782{
783 return EvalPar(x, params);
784}
785
786////////////////////////////////////////////////////////////////////////////////
787/// EvalPar for vectorized
788template <class T>
789T TF1::EvalPar(const T *x, const Double_t *params)
790{
792 return EvalParTempl(x, params);
793 } else if (fType == EFType::kFormula) {
794 return fFormula->EvalPar(x, params);
795 } else
796 return TF1::EvalPar((double *)x, params);
797}
798
799////////////////////////////////////////////////////////////////////////////////
800/// Eval for vectorized functions
801// template <class T>
802// T TF1::Eval(T x, T y, T z, T t) const
803// {
804// if (fType == EFType::kFormula)
805// return fFormula->Eval(x, y, z, t);
806
807// T xx[] = {x, y, z, t};
808// Double_t *pp = (Double_t *)fParams->GetParameters();
809// return ((TF1 *)this)->EvalPar(xx, pp);
810// }
811
812// Internal to TF1. Evaluates Templated interfaces
813template <class T>
814inline T TF1::EvalParTempl(const T *data, const Double_t *params)
815{
817 if (!params) params = (Double_t *)fParams->GetParameters();
818 if (fFunctor)
819 return ((TF1FunctorPointerImpl<T> *)fFunctor.get())->fImpl(data, params);
820
821 // this should throw an error
822 // we nned to implement a vectorized GetSave(x)
823 return TMath::SignalingNaN();
824}
825
826#ifdef R__HAS_VECCORE
827// Internal to TF1. Evaluates Vectorized TF1 on data of type Double_v
828inline double TF1::EvalParVec(const Double_t *data, const Double_t *params)
829{
831 std::vector<ROOT::Double_v> d(fNdim);
832 ROOT::Double_v res;
833
834 for(auto i=0; i<fNdim; i++) {
835 d[i] = ROOT::Double_v(data[i]);
836 }
837
838 if (fFunctor) {
839 res = ((TF1FunctorPointerImpl<ROOT::Double_v> *) fFunctor.get())->fImpl(d.data(), params);
840 } else {
841 // res = GetSave(x);
842 return TMath::SignalingNaN();
843 }
844 return vecCore::Get<ROOT::Double_v>(res, 0);
845}
846#endif
847
856
857template <typename Func>
859{
860 // set function from a generic C++ callable object
862 fFunctor = std::make_unique<TF1::TF1FunctorPointerImpl<double>>(ROOT::Math::ParamFunctor(f));
863}
864template <class PtrObj, typename MemFn>
866{
867 // set from a pointer to a member function
869 fFunctor = std::make_unique<TF1::TF1FunctorPointerImpl<double>>(ROOT::Math::ParamFunctor(p, memFn));
870}
871
872template <class T>
873inline T TF1::GradientPar(Int_t ipar, const T *x, Double_t eps) const
874{
876 return GradientParTempl<T>(ipar, x, eps);
877 } else
878 return GradientParTempl<Double_t>(ipar, (const Double_t *)x, eps);
879}
880
881template <class T>
882inline T TF1::GradientParTempl(Int_t ipar, const T *x, Double_t eps) const
883{
884 if (GetNpar() == 0)
885 return 0;
886
887 if (eps < 1e-10 || eps > 1) {
888 Warning("Derivative", "parameter esp=%g out of allowed range[1e-10,1], reset to 0.01", eps);
889 eps = 0.01;
890 }
891 Double_t h;
892 TF1 *func = (TF1 *)this;
893 Double_t *parameters = GetParameters();
894
895 // Copy parameters for thread safety
896 std::vector<Double_t> parametersCopy(parameters, parameters + GetNpar());
897 parameters = parametersCopy.data();
898
899 Double_t al, bl, h2;
900 T f1, f2, g1, g2, d0, d2;
901
902 ((TF1 *)this)->GetParLimits(ipar, al, bl);
903 if (al * bl != 0 && al >= bl) {
904 // this parameter is fixed
905 return 0;
906 }
907
908 // check if error has been computer (is not zero)
909 if (func->GetParError(ipar) != 0)
910 h = eps * func->GetParError(ipar);
911 else
912 h = eps;
913
914 // save original parameters
915 Double_t par0 = parameters[ipar];
916
917 parameters[ipar] = par0 + h;
918 f1 = func->EvalPar(x, parameters);
919 parameters[ipar] = par0 - h;
920 f2 = func->EvalPar(x, parameters);
921 parameters[ipar] = par0 + h / 2;
922 g1 = func->EvalPar(x, parameters);
923 parameters[ipar] = par0 - h / 2;
924 g2 = func->EvalPar(x, parameters);
925
926 // compute the central differences
927 h2 = 1 / (2. * h);
928 d0 = f1 - f2;
929 d2 = 2 * (g1 - g2);
930
931 T grad = h2 * (4 * d2 - d0) / 3.;
932
933 // restore original value
934 parameters[ipar] = par0;
935
936 return grad;
937}
938
939template <class T>
940inline void TF1::GradientPar(const T *x, T *grad, Double_t eps) const
941{
943 GradientParTempl<T>(x, grad, eps);
944 } else
945 GradientParTempl<Double_t>((const Double_t *)x, (Double_t *)grad, eps);
946}
947
948template <class T>
949inline void TF1::GradientParTempl(const T *x, T *grad, Double_t eps) const
950{
951 if (eps < 1e-10 || eps > 1) {
952 Warning("Derivative", "parameter esp=%g out of allowed range[1e-10,1], reset to 0.01", eps);
953 eps = 0.01;
954 }
955
956 for (Int_t ipar = 0; ipar < GetNpar(); ipar++) {
957 grad[ipar] = GradientParTempl<T>(ipar, x, eps);
958 }
959}
960
961#endif
#define d(i)
Definition RSha256.hxx:102
#define b(i)
Definition RSha256.hxx:100
#define f(i)
Definition RSha256.hxx:104
#define a(i)
Definition RSha256.hxx:99
#define h(i)
Definition RSha256.hxx:106
#define e(i)
Definition RSha256.hxx:103
size_t size(const MatrixT &matrix)
retrieve the size of a square matrix
bool Bool_t
Boolean (0=false, 1=true) (bool)
Definition RtypesCore.h:77
int Int_t
Signed integer 4 bytes (int)
Definition RtypesCore.h:59
constexpr Bool_t kFALSE
Definition RtypesCore.h:108
double Double_t
Double 8 bytes.
Definition RtypesCore.h:73
constexpr Bool_t kTRUE
Definition RtypesCore.h:107
const char Option_t
Option string (const char)
Definition RtypesCore.h:80
#define ClassDef(name, id)
Definition Rtypes.h:344
#define BIT(n)
Definition Rtypes.h:91
#define ClassDefOverride(name, id)
Definition Rtypes.h:348
ROOT::Detail::TRangeCast< T, true > TRangeDynCast
TRangeDynCast is an adapter class that allows the typed iteration through a TCollection.
winID h TVirtualViewer3D TVirtualGLPainter p
Option_t Option_t option
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void data
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t Float_t Int_t Int_t UInt_t UInt_t Rectangle_t result
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void on
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void value
char name[80]
Definition TGX11.cxx:110
float xmin
float ymin
float xmax
float ymax
class containing the result of the fit and all the related information (fitted parameter values,...
Definition FitResult.h:47
Param Functor class for Multidimensional functions.
Fill Area Attributes class.
Definition TAttFill.h:20
Line Attributes class.
Definition TAttLine.h:20
Marker Attributes class.
Definition TAttMarker.h:20
Class to manage histogram axis.
Definition TAxis.h:32
Using a TBrowser one can browse all ROOT objects.
Definition TBrowser.h:37
TF1 Parameters class.
Definition TF1.h:54
std::vector< Double_t > fParameters
Definition TF1.h:139
const char * GetParName(Int_t iparam) const
Definition TF1.h:100
const std::vector< double > & ParamsVec() const
Definition TF1.h:93
virtual ~TF1Parameters()
Definition TF1.h:78
Double_t GetParameter(const char *name) const
Definition TF1.h:85
Double_t GetParameter(Int_t iparam) const
Definition TF1.h:81
void SetParName(Int_t iparam, const char *name)
Definition TF1.h:123
TF1Parameters & operator=(const TF1Parameters &rhs)
Definition TF1.h:71
void SetParameter(Int_t iparam, Double_t value)
Definition TF1.h:107
void SetParameter(const char *name, Double_t value)
Definition TF1.h:119
TF1Parameters(Int_t npar)
Definition TF1.h:57
std::vector< std::string > fParNames
Definition TF1.h:140
TF1Parameters()
Definition TF1.h:56
bool CheckIndex(Int_t i) const
Definition TF1.h:134
void SetParNames(Args &&... args)
Set parameter names.
Definition TF1.h:157
void SetParameters(const Double_t *params)
Definition TF1.h:112
Int_t GetParNumber(const char *name) const
Returns the parameter number given a name not very efficient but list of parameters is typically smal...
Definition TF1.cxx:3863
TF1Parameters(const TF1Parameters &rhs)
Definition TF1.h:66
const Double_t * GetParameters() const
Definition TF1.h:89
1-Dim function class
Definition TF1.h:182
std::unique_ptr< TF1FunctorPointer > fFunctor
! Functor object to wrap any C++ callable object
Definition TF1.h:236
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,...
Definition TF1.cxx:1851
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.
Definition TF1.cxx:1724
virtual Double_t GetXmax() const
Definition TF1.h:540
virtual void ReleaseParameter(Int_t ipar)
Release parameter number ipar during a fit operation.
Definition TF1.cxx:3178
virtual void SetParError(Int_t ipar, Double_t error)
Set error for parameter number ipar.
Definition TF1.cxx:3511
static void RejectPoint(Bool_t reject=kTRUE)
Static function to set the global flag to reject points the fgRejectPoint global flag is tested by al...
Definition TF1.cxx:3700
EAddToList
Add to list behavior.
Definition TF1.h:189
virtual Double_t Mean(Double_t a, Double_t b, const Double_t *params=nullptr, Double_t epsilon=0.000001)
Definition TF1.h:689
T GradientParTempl(Int_t ipar, const T *x, Double_t eps=0.01) const
Definition TF1.h:882
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 metho...
Definition TF1.cxx:1121
virtual const Double_t * GetParErrors() const
Definition TF1.h:522
virtual Int_t GetNumber() const
Definition TF1.h:478
virtual Int_t GetNDF() const
Return the number of degrees of freedom in the fit the fNDF parameter has been previously computed du...
Definition TF1.cxx:1917
std::vector< Double_t > fParErrors
Array of errors of the fNpar parameters.
Definition TF1.h:223
Int_t fNdim
Function dimension.
Definition TF1.h:215
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.
Definition TF1.cxx:3843
static void AbsValue(Bool_t reject=kTRUE)
Static function: set the fgAbsValue flag.
Definition TF1.cxx:986
virtual TH1 * GetHistogram() const
Return a pointer to the histogram used to visualise the function Note that this histogram is managed ...
Definition TF1.cxx:1612
virtual const TFormula * GetFormula() const
Definition TF1.h:437
virtual void GetParLimits(Int_t ipar, Double_t &parmin, Double_t &parmax) const
Return limits for parameter ipar.
Definition TF1.cxx:1968
Int_t fNpar
Number of parameters.
Definition TF1.h:214
virtual Double_t GetParameter(const TString &name) const
Definition TF1.h:496
TAxis * GetYaxis() const
Get y axis of the function.
Definition TF1.cxx:2437
virtual void GetParameters(Double_t *params)
Definition TF1.h:504
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...
Definition TF1.cxx:3451
virtual Double_t GetParError(Int_t ipar) const
Return value of parameter number ipar.
Definition TF1.cxx:1958
static std::atomic< Bool_t > fgAddToGlobList
Definition TF1.h:275
virtual Bool_t IsEvalNormalized() const
Definition TF1.h:577
virtual Double_t GetVariable(const TString &name)
Definition TF1.h:547
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 ...
Definition TF1.cxx:2734
virtual void SetChisquare(Double_t chi2)
Definition TF1.h:596
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.
Definition TF1.cxx:2804
Double_t fNormIntegral
Integral of the function before being normalized.
Definition TF1.h:235
Double_t GetChisquare() const
Return the Chisquare after fitting. See ROOT::Fit::FitResult::Chi2()
Definition TF1.h:424
virtual void SetMaximum(Double_t maximum=-1111)
Set the maximum value along Y for this function In case the function is already drawn,...
Definition TF1.cxx:3426
void Print(Option_t *option="") const override
This method must be overridden when a class wants to print itself.
Definition TF1.cxx:2923
virtual TH1 * CreateHistogram()
Definition TF1.h:429
Double_t fXmin
Lower bounds for the range.
Definition TF1.h:212
std::unique_ptr< TMethodCall > fMethodCall
! Pointer to MethodCall in case of interpreted function
Definition TF1.h:233
virtual void Update()
Called by functions such as SetRange, SetNpx, SetParameters to force the deletion of the associated h...
Definition TF1.cxx:3651
virtual Double_t GetProb() const
Return the fit probability.
Definition TF1.cxx:1983
void IntegrateForNormalization()
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)
Definition TF1.h:308
virtual Int_t GetQuantiles(Int_t n, Double_t *xp, const Double_t *p)
Compute Quantiles for density distribution of this function.
Definition TF1.cxx:2020
TAxis * GetZaxis() const
Get z axis of the function. (In case this object is a TF2 or TF3)
Definition TF1.cxx:2448
virtual Double_t GetRandom(TRandom *rng=nullptr, Option_t *opt=nullptr)
Return a random number following this function shape.
Definition TF1.cxx:2218
virtual void SetRange(Double_t xmin, Double_t xmax)
Initialize the upper and lower bounds to draw the function.
Definition TF1.cxx:3560
virtual Double_t GetMaximumStored() const
Definition TF1.h:453
virtual Int_t GetNpar() const
Definition TF1.h:461
virtual TString GetExpFormula(Option_t *option="") const
Definition TF1.h:441
std::vector< Double_t > fBeta
! Array beta. is approximated by x = alpha +beta*r *gamma*r**2
Definition TF1.h:229
Double_t EvalUncertainty(Double_t x, const TMatrixDSym *covMatrix=nullptr) const
Evaluate the uncertainty of the function at location x due to the parameter uncertainties.
Definition TF1.cxx:1545
TString ProvideSaveName(Option_t *option)
Provide variable name for function for saving as primitive When TH1 or TGraph stores list of function...
Definition TF1.cxx:3246
Int_t fNDF
Number of degrees of freedom in the fit.
Definition TF1.h:219
TH1 * fHistogram
! Pointer to histogram used for visualisation
Definition TF1.h:232
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)
Definition TF1.h:572
std::unique_ptr< TF1AbsComposition > fComposition
Pointer to composition (NSUM or CONV)
Definition TF1.h:239
virtual void SetParErrors(const Double_t *errors)
Set errors for all active parameters when calling this function, the array errors must have at least ...
Definition TF1.cxx:3522
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 w...
Definition TF1.cxx:3074
TObject * GetParent() const
Definition TF1.h:488
Int_t fNpfits
Number of points used in the fit.
Definition TF1.h:218
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 meth...
Definition TF1.cxx:1186
static void SetCurrent(TF1 *f1)
Static function setting the current function.
Definition TF1.cxx:3375
void SetFunction(PtrObj &p, MemFn memFn)
Definition TF1.h:865
virtual void SetParent(TObject *p=nullptr)
Definition TF1.h:662
std::vector< Double_t > fAlpha
! Array alpha. for each bin in x the deconvolution r of fIntegral
Definition TF1.h:228
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)
Definition TF1.h:379
virtual Double_t Integral(Double_t a, Double_t b, Double_t epsrel=1.e-12)
IntegralOneDim or analytical integral.
Definition TF1.cxx:2557
void SetTitle(const char *title="") override
Set function title if title has the form "fffffff;xxxx;yyyy", it is assumed that the function title i...
Definition TF1.cxx:3590
virtual Int_t GetNumberFitPoints() const
Definition TF1.h:483
std::unique_ptr< TFormula > fFormula
Pointer to TFormula in case when user define formula.
Definition TF1.h:237
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.
Definition TF1.cxx:3495
static Double_t DerivativeError()
Static function returning the error of the last call to the of Derivative's functions.
Definition TF1.cxx:1285
std::vector< Double_t > fParMin
Array of lower limits of the fNpar parameters.
Definition TF1.h:224
static void InitStandardFunctions()
Create the basic function objects.
Definition TF1.cxx:2523
Double_t fMaximum
Maximum value for plotting.
Definition TF1.h:222
virtual void SetNpx(Int_t npx=100)
Set the number of points used to draw the function.
Definition TF1.cxx:3465
virtual Double_t * GetParameters() const
Definition TF1.h:500
Double_t fMinimum
Minimum value for plotting.
Definition TF1.h:221
int TermCoeffLength(TString &term)
Definition TF1.cxx:926
static Bool_t fgRejectPoint
Definition TF1.h:274
void Copy(TObject &f1) const override
Copy this F1 to a new F1.
Definition TF1.cxx:1007
virtual void SetNumberFitPoints(Int_t npfits)
Definition TF1.h:608
virtual Double_t GetMinimumStored() const
Definition TF1.h:457
virtual void SetNormalized(Bool_t flag)
Definition TF1.h:612
void Paint(Option_t *option="") override
Paint this function with its current attributes.
Definition TF1.cxx:2979
TF1 & operator=(const TF1 &rhs)
Operator =.
Definition TF1.cxx:944
virtual Int_t GetNumberFreeParameters() const
Return the number of free parameters.
Definition TF1.cxx:1928
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.
Definition TF1.cxx:3719
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)
Definition TF1.cxx:3756
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)
Definition TF1.h:373
Double_t fChisquare
Function fit chisquare.
Definition TF1.h:220
EStatusBits
Definition TF1.h:295
@ kNotGlobal
Definition TF1.h:296
@ kNotDraw
Definition TF1.h:297
virtual TFormula * GetFormula()
Definition TF1.h:433
virtual void InitArgs(const Double_t *x, const Double_t *params)
Initialize parameters addresses.
Definition TF1.cxx:2508
TF1(const char *name, Func f, Double_t xmin, Double_t xmax, Int_t npar, const char *, EAddToList addToGlobList=EAddToList::kDefault)
Definition TF1.h:357
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.
Definition TF1.cxx:2877
TMethodCall * GetMethodCall() const
Definition TF1.h:474
Int_t DistancetoPrimitive(Int_t px, Int_t py) override
Compute distance from point px,py to a function.
Definition TF1.cxx:1301
virtual Double_t operator()(Double_t x, Double_t y=0, Double_t z=0, Double_t t=0) const
Definition TF1.h:775
EFType fType
Definition TF1.h:217
Bool_t fNormalized
Normalization option (false by default)
Definition TF1.h:234
virtual Double_t Variance(Double_t a, Double_t b, const Double_t *params=nullptr, Double_t epsilon=0.000001)
Definition TF1.h:693
virtual void SetMinimum(Double_t minimum=-1111)
Set the minimum value along Y for this function In case the function is already drawn,...
Definition TF1.cxx:3439
virtual void AddParameter(const TString &name, Double_t value)
Definition TF1.h:386
virtual void GetRange(Double_t *xmin, Double_t *xmax) const
Return range of a generic N-D function.
Definition TF1.cxx:2307
void SetNdim(Int_t ndim)
Definition TF1.h:617
void Browse(TBrowser *b) override
Browse.
Definition TF1.cxx:995
virtual const char * GetParName(Int_t ipar) const
Definition TF1.h:509
~TF1() override
TF1 default destructor.
Definition TF1.cxx:955
static TF1 * fgCurrent
Definition TF1.h:276
virtual Double_t EvalPar(const Double_t *x, const Double_t *params=nullptr)
Evaluate function with given coordinates and parameters.
Definition TF1.cxx:1476
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.
Definition TF1.h:242
Int_t fNpx
Number of points used for the graphical representation.
Definition TF1.h:216
virtual void SetParLimits(Int_t ipar, Double_t parmin, Double_t parmax)
Set lower and upper limits for parameter ipar.
Definition TF1.cxx:3539
void DoInitialize(EAddToList addToGlobList)
Common initialization of the TF1.
Definition TF1.cxx:804
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).
Definition TF1.cxx:1891
static TF1 * GetCurrent()
Static function returning the current function being processed.
Definition TF1.cxx:1597
virtual void SetParName(Int_t ipar, const char *name)
Set name of parameter number ipar.
Definition TF1.cxx:3482
char * GetObjectInfo(Int_t px, Int_t py) const override
Redefines TObject::GetObjectInfo.
Definition TF1.cxx:1946
void ExecuteEvent(Int_t event, Int_t px, Int_t py) override
Execute action corresponding to one event.
Definition TF1.cxx:1564
virtual Double_t GetSave(const Double_t *x)
Get value corresponding to X in array of fSave values.
Definition TF1.cxx:2370
static std::atomic< Bool_t > fgAbsValue
Definition TF1.h:273
virtual Bool_t IsLinear() const
Definition TF1.h:586
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.
Definition TF1.h:640
TF1()
TF1 default constructor.
Definition TF1.cxx:491
virtual TF1 * DrawCopy(Option_t *option="") const
Draw a copy of this function with its current attributes.
Definition TF1.cxx:1371
std::vector< Double_t > fParMax
Array of upper limits of the fNpar parameters.
Definition TF1.h:225
bool IsVectorized()
Definition TF1.h:419
void SavePrimitive(std::ostream &out, Option_t *option="") override
Save primitive as a C++ statement(s) on output stream out.
Definition TF1.cxx:3263
virtual Bool_t IsValid() const
Return kTRUE if the function is valid.
Definition TF1.cxx:2908
static Bool_t DefaultAddToGlobalList(Bool_t on=kTRUE)
Static method to add/avoid to add automatically functions to the global list (gROOT->GetListOfFunctio...
Definition TF1.cxx:840
std::vector< Double_t > fSave
Array of fNsave function values.
Definition TF1.h:226
virtual Double_t GetParError(const char *name) const
Definition TF1.h:518
static Bool_t RejectedPoint()
See TF1::RejectPoint above.
Definition TF1.cxx:3709
void DefineNSUMTerm(TObjArray *newFuncs, TObjArray *coeffNames, TString &fullFormula, TString &formula, int termStart, int termEnd, Double_t xmin, Double_t xmax)
Helper functions for NSUM parsing.
Definition TF1.cxx:885
std::vector< Double_t > fGamma
! Array gamma.
Definition TF1.h:230
TObject * fParent
! Parent object hooking this function (if one)
Definition TF1.h:231
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.
Definition TF1.cxx:1751
virtual void DrawF1(Double_t xmin, Double_t xmax, Option_t *option="")
Draw function between xmin and xmax.
Definition TF1.cxx:1428
Bool_t ComputeCdfTable(Option_t *opt)
Compute the cumulative function at fNpx points between fXmin and fXmax.
Definition TF1.cxx:2107
virtual void SetParameters(const Double_t *params)
Definition TF1.h:633
T EvalParTempl(const T *data, const Double_t *params=nullptr)
Eval for vectorized functions.
Definition TF1.h:814
virtual TObject * DrawIntegral(Option_t *option="al")
Draw integral of this function.
Definition TF1.cxx:1415
std::vector< Double_t > fIntegral
! Integral of function binned on fNpx bins
Definition TF1.h:227
virtual TObject * DrawDerivative(Option_t *option="al")
Draw derivative of this function.
Definition TF1.cxx:1393
virtual Double_t Eval(Double_t x, Double_t y=0, Double_t z=0, Double_t t=0) const
Evaluate this function.
Definition TF1.cxx:1447
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.
Definition TF1.cxx:1642
std::unique_ptr< TF1Parameters > fParams
Pointer to Function parameters object (exists only for not-formula functions)
Definition TF1.h:238
virtual void SetParameter(const TString &name, Double_t value)
Definition TF1.h:628
virtual void SetParameter(Int_t param, Double_t value)
Definition TF1.h:623
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 metho...
Definition TF1.cxx:1251
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.
Definition TF1.cxx:3188
TObject * Clone(const char *newname=nullptr) const override
Make a complete copy of the underlying object.
Definition TF1.cxx:1072
EFType
Definition TF1.h:203
@ kCompositionFcn
Definition TF1.h:209
@ kFormula
Formula functions which can be stored,.
Definition TF1.h:204
@ kPtrScalarFreeFcn
Pointer to scalar free function,.
Definition TF1.h:205
@ kTemplScalar
TemplScalar functors evaluating on scalar parameters.
Definition TF1.h:208
@ kTemplVec
Vectorized free functions or TemplScalar functors evaluating on vectorized parameters,...
Definition TF1.h:207
@ kInterpreted
Interpreted functions constructed by name,.
Definition TF1.h:206
virtual Double_t GradientPar(Int_t ipar, const Double_t *x, Double_t eps=0.01) const
Compute the gradient (derivative) wrt a parameter ipar.
Definition TF1.cxx:2471
virtual void SetSavedPoint(Int_t point, Double_t value)
Restore value of function saved at point.
Definition TF1.cxx:3574
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 ...
Definition TF1.cxx:1585
virtual Bool_t IsInside(const Double_t *x) const
return kTRUE if the point is inside the function range
Definition TF1.h:582
virtual Int_t GetNpx() const
Definition TF1.h:470
Double_t fXmax
Upper bounds for the range.
Definition TF1.h:213
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.
Definition TF1.cxx:1683
virtual Int_t GetNdim() const
Definition TF1.h:465
virtual Double_t GetXmin() const
Definition TF1.h:536
virtual Bool_t AddToGlobalList(Bool_t on=kTRUE)
Add to global list of functions (gROOT->GetListOfFunctions() ) return previous status (true if the fu...
Definition TF1.cxx:849
virtual const TObject * GetLinearPart(Int_t i) const
Definition TF1.h:445
virtual void SetVectorized(Bool_t vectorized)
Definition TF1.h:671
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 absolut...
Definition TF1.cxx:2647
TF1(const char *name, Func f, Double_t xmin, Double_t xmax, Int_t npar, Int_t ndim=1, EAddToList addToGlobList=EAddToList::kDefault)
Definition TF1.h:348
virtual Double_t GetParameter(Int_t ipar) const
Definition TF1.h:492
virtual Int_t GetParNumber(const char *name) const
Definition TF1.h:513
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.
Definition TF1.h:332
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 (...
Definition TF1.cxx:3387
TAxis * GetXaxis() const
Get x axis of the function.
Definition TF1.cxx:2426
Bool_t HasSave() const
Return true if function has data in fSave buffer.
Definition TF1.h:418
The Formula class.
Definition TFormula.h:89
TH1 is the base class of all histogram classes in ROOT.
Definition TH1.h:109
Method or function calling interface.
Definition TMethodCall.h:37
The TNamed class is the base class for all named ROOT classes.
Definition TNamed.h:29
An array of TObjects.
Definition TObjArray.h:31
Mother of all ROOT objects.
Definition TObject.h:41
virtual void Warning(const char *method, const char *msgfmt,...) const
Issue warning message.
Definition TObject.cxx:1058
This is the base class for the ROOT Random number generators.
Definition TRandom.h:27
Basic string class.
Definition TString.h:138
static TString Format(const char *fmt,...)
Static method which formats a string using a printf style format descriptor and return a TString.
Definition TString.cxx:2385
Double_t y[n]
Definition legend1.C:17
Double_t x[n]
Definition legend1.C:17
const Int_t n
Definition legend1.C:16
TF1 * f1
Definition legend1.C:11
TFitResultPtr Fit(FitObject *h1, TF1 *f1, Foption_t &option, const ROOT::Math::MinimizerOptions &moption, const char *goption, ROOT::Fit::DataRange &range)
Definition HFitImpl.cxx:133
Namespace for new Math classes and functions.
void EvalParMultiDim(TF1 *func, Double_t *out, const Double_t *x, std::size_t size, std::size_t rows, Double_t *params)
Definition TF1.h:766
ParamFunctorTempl< double > ParamFunctor
Namespace for new ROOT classes and functions.
Double_t Double_v
Definition Types.h:55
Bool_t IsNaN(Double_t x)
Definition TMath.h:898
Double_t QuietNaN()
Returns a quiet NaN as defined by IEEE 754.
Definition TMath.h:908
Double_t SignalingNaN()
Returns a signaling NaN as defined by IEEE 754](http://en.wikipedia.org/wiki/NaN#Signaling_NaN).
Definition TMath.h:916
static void Build(TF1 *f, const char *formula)
Definition TF1.h:753
Internal class used by TF1 for defining template specialization for different TF1 constructors
Definition TF1.h:170
static void Build(TF1 *f, Func func)
Definition TF1.h:718
TF1FunctorPointer * Clone() const override
Definition TF1.h:266
ROOT::Math::ParamFunctorTempl< T > fImpl
Definition TF1.h:267
TF1FunctorPointerImpl(const std::function< T(const T *f, const Double_t *param)> &func)
Definition TF1.h:264
~TF1FunctorPointerImpl() override
Definition TF1.h:265
TF1FunctorPointerImpl(const ROOT::Math::ParamFunctorTempl< T > &func)
Definition TF1.h:263
virtual ~TF1FunctorPointer()
Definition TF1.h:197
virtual TF1FunctorPointer * Clone() const =0
th1 Draw()