warning fixed
[u/mrichter/AliRoot.git] / RALICE / AliMath.h
CommitLineData
d88f97cc 1#ifndef ALIMATH_H
2#define ALIMATH_H
3da30618 3/* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * See cxx source for full Copyright notice */
5
f531a546 6// $Id$
3da30618 7
d88f97cc 8#include <math.h>
9
10#include "TObject.h"
a57b6095 11#include "TF1.h"
12#include "TString.h"
13#include "TMath.h"
bf4dd5dd 14#include "TH1F.h"
d88f97cc 15
16class AliMath : public TObject
17{
18 public:
261c0caf 19 AliMath(); // Default constructor
20 virtual ~AliMath(); // Destructor
21 AliMath(const AliMath& m); // Copy constructor
22 Double_t Gamma(Double_t z) const; // Standard gamma function Gamma(z)
23 Double_t Gamma(Double_t a,Double_t x) const; // Incomplete gamma function P(a,x)
24 Double_t LnGamma(Double_t z) const; // Compute ln[Gamma(z)]
25 Double_t Erf(Double_t x) const; // Error function erf(x)
26 Double_t Erfc(Double_t x) const; // Complementary error function erfc(x)
27 Double_t Prob(Double_t chi2,Int_t ndf,Int_t mode=1) const; // Compute Chi-squared probability
28 Double_t BesselI(Int_t n,Double_t x) const; // Compute integer order mod. Bessel function I_n(x)
29 Double_t BesselK(Int_t n,Double_t x) const; // Compute integer order mod. Bessel function K_n(x)
a57b6095 30 TF1 Chi2Dist(Int_t ndf) const; // Provide the Chi-squared distribution function
31 TF1 StudentDist(Double_t ndf) const; // Provide the Student's T distribution function
32 TF1 FratioDist(Int_t ndf1,Int_t ndf2) const; // Provide the Fratio distribution function
33 TF1 BinomialDist(Int_t n,Double_t p) const; // Provide the Binomial distribution function
34 TF1 NegBinomialDist(Int_t k,Double_t p) const; // Provide the Negative Binomial distribution function
35 TF1 PoissonDist(Double_t mu) const; // Provide the Poisson distribution function
36 Double_t Chi2Pvalue(Double_t chi2,Int_t ndf,Int_t sides=0,Int_t sigma=0,Int_t mode=1) const; // Chi-squared P-value
37 Double_t StudentPvalue(Double_t t,Double_t ndf,Int_t sides=0,Int_t sigma=0) const; // Student's P-value
38 Double_t FratioPvalue(Double_t f,Int_t ndf1,Int_t ndf2,Int_t sides=0,Int_t sigma=0) const; // F ratio P-value
39 Double_t BinomialPvalue(Int_t k,Int_t n,Double_t p,Int_t sides=0,Int_t sigma=0,Int_t mode=0) const; // Bin. P-value
40 Double_t PoissonPvalue(Int_t k,Double_t mu,Int_t sides=0,Int_t sigma=0) const; // Poisson P-value
41 Double_t NegBinomialPvalue(Int_t n,Int_t k,Double_t p,Int_t sides=0,Int_t sigma=0,Int_t mode=0) const; // NegBin. P-value
cf3100fa 42 Double_t Nfac(Int_t n,Int_t mode=0) const; // Compute n!
43 Double_t LnNfac(Int_t n,Int_t mode=2) const; // Compute ln(n!)
44 Double_t LogNfac(Int_t n,Int_t mode=2) const; // Compute log_10(n!)
bf4dd5dd 45 Double_t PsiValue(Int_t m,Int_t* n,Double_t* p=0,Int_t f=0) const; // Bayesian Psi value of a counting exp. w.r.t. hypothesis
46 Double_t PsiValue(TH1F* his,TH1F* hyp=0,TF1* pdf=0,Int_t f=0) const; // Bayesian Psi value of a counting exp. w.r.t. hypothesis
99a25cd9 47 Double_t Chi2Value(Int_t m,Int_t* n,Double_t* p=0,Int_t* ndf=0) const; // Frequentist Chi2 value of a counting exp. w.r.t. hypothesis
48 Double_t Chi2Value(TH1F* his,TH1F* hyp=0,TF1* pdf=0,Int_t* ndf=0) const; // Frequentist Chi2 value of a counting exp. w.r.t. hypothesis
cf3100fa 49
d88f97cc 50 protected:
261c0caf 51 Double_t GamSer(Double_t a,Double_t x) const; // Compute P(a,x) via serial representation
52 Double_t GamCf(Double_t a,Double_t x) const; // Compute P(a,x) via continued fractions
53 Double_t BesselI0(Double_t x) const; // Compute modified Bessel function I_0(x)
54 Double_t BesselK0(Double_t x) const; // Compute modified Bessel function K_0(x)
55 Double_t BesselI1(Double_t x) const; // Compute modified Bessel function I_1(x)
56 Double_t BesselK1(Double_t x) const; // Compute modified Bessel function K_1(x)
d88f97cc 57
99a25cd9 58 ClassDef(AliMath,7) // Various mathematical tools for physics analysis.
d88f97cc 59
60};
61#endif