ROOT  6.06/09
Reference Guide
RooTMathReg.cxx
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1 /*****************************************************************************
2  * Project: RooFit *
3  * Package: RooFitCore *
4  * File: $Id$
5  * Authors: *
6  * WV, Wouter Verkerke, NIKHEF, verkerke@nikhef.nl *
7  * *
8  * Copyright (c) 2000-2008, NIKHEF, Regents of the University of California *
9  * and Stanford University. All rights reserved. *
10  * *
11  *****************************************************************************/
12 
13 //////////////////////////////////////////////////////////////////////////////
14 //
15 // BEGIN_HTML
16 // END_HTML
17 //
18 
19 #include "Riostream.h"
20 #include "RooTMathReg.h"
21 #include "RooCFunction1Binding.h"
22 #include "RooCFunction2Binding.h"
23 #include "RooCFunction3Binding.h"
24 #include "RooCFunction4Binding.h"
25 #include "TMath.h"
26 
27 static RooTMathReg dummy ;
28 
29 RooTMathReg::RooTMathReg()
30 {
31 
32  // Import function from TMath namespace
33  RooCFunction1Ref<double,double>::fmap().add("TMath::Abs",TMath::Abs,"d") ;
34  RooCFunction1Ref<double,double>::fmap().add("TMath::ACos",TMath::ACos) ;
35  RooCFunction1Ref<double,double>::fmap().add("TMath::ACosH",TMath::ACosH,"t") ;
36  RooCFunction1Ref<double,double>::fmap().add("TMath::ASin",TMath::ASin) ;
37  RooCFunction1Ref<double,double>::fmap().add("TMath::ASinH",TMath::ASinH,"t") ;
38  RooCFunction1Ref<double,double>::fmap().add("TMath::ATan",TMath::ATan) ;
39  RooCFunction1Ref<double,double>::fmap().add("TMath::ATanH",TMath::ATanH,"t") ;
40  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselI0",TMath::BesselI0) ;
41  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselI1",TMath::BesselI1) ;
42  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselJ0",TMath::BesselJ0) ;
43  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselJ1",TMath::BesselJ1) ;
44  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselK0",TMath::BesselK0) ;
45  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselK1",TMath::BesselK1) ;
46  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselY0",TMath::BesselY0) ;
47  RooCFunction1Ref<double,double>::fmap().add("TMath::BesselY1",TMath::BesselY1) ;
48  RooCFunction1Ref<double,double>::fmap().add("TMath::Cos",TMath::Cos) ;
49  RooCFunction1Ref<double,double>::fmap().add("TMath::CosH",TMath::CosH) ;
50  RooCFunction1Ref<double,double>::fmap().add("TMath::DiLog",TMath::DiLog) ;
51  RooCFunction1Ref<double,double>::fmap().add("TMath::Erf",TMath::Erf) ;
52  RooCFunction1Ref<double,double>::fmap().add("TMath::Erfc",TMath::Erfc) ;
53  RooCFunction1Ref<double,double>::fmap().add("TMath::ErfcInverse",TMath::ErfcInverse) ;
54  RooCFunction1Ref<double,double>::fmap().add("TMath::ErfInverse",TMath::ErfInverse) ;
55  RooCFunction1Ref<double,double>::fmap().add("TMath::Exp",TMath::Exp) ;
56  RooCFunction1Ref<double,double>::fmap().add("TMath::Freq",TMath::Freq) ;
57  RooCFunction1Ref<double,double>::fmap().add("TMath::Gamma",TMath::Gamma,"z") ;
58  RooCFunction1Ref<double,double>::fmap().add("TMath::KolmogorovProb",TMath::KolmogorovProb,"z") ;
59  RooCFunction1Ref<double,double>::fmap().add("TMath::LandauI",TMath::LandauI) ;
60  RooCFunction1Ref<double,double>::fmap().add("TMath::LnGamma",TMath::LnGamma,"z") ;
61  RooCFunction1Ref<double,double>::fmap().add("TMath::Log",TMath::Log) ;
62  RooCFunction1Ref<double,double>::fmap().add("TMath::Log10",TMath::Log10) ;
63  RooCFunction1Ref<double,double>::fmap().add("TMath::Log2",TMath::Log2) ;
64  RooCFunction1Ref<double,double>::fmap().add("TMath::NormQuantile",TMath::NormQuantile,"p") ;
65  RooCFunction1Ref<double,double>::fmap().add("TMath::Sin",TMath::Sin) ;
66  RooCFunction1Ref<double,double>::fmap().add("TMath::SinH",TMath::SinH) ;
67  RooCFunction1Ref<double,double>::fmap().add("TMath::Sqrt",TMath::Sqrt) ;
68  RooCFunction1Ref<double,double>::fmap().add("TMath::StruveH0",TMath::StruveH0) ;
69  RooCFunction1Ref<double,double>::fmap().add("TMath::StruveH1",TMath::StruveH1) ;
70  RooCFunction1Ref<double,double>::fmap().add("TMath::StruveL0",TMath::StruveL0) ;
71  RooCFunction1Ref<double,double>::fmap().add("TMath::StruveL1",TMath::StruveL1) ;
72  RooCFunction1Ref<double,double>::fmap().add("TMath::Tan",TMath::Tan) ;
73  RooCFunction1Ref<double,double>::fmap().add("TMath::TanH",TMath::TanH) ;
74  RooCFunction1Ref<double,int>::fmap().add("TMath::Factorial",TMath::Factorial,"i") ;
75 
76  RooCFunction2Ref<double,double,double>::fmap().add("TMath::ATan2",TMath::ATan2, "y", "x") ;
77  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Beta",TMath::Beta, "p", "q") ;
78  RooCFunction2Ref<double,double,double>::fmap().add("TMath::ChisquareQuantile",TMath::ChisquareQuantile, "p", "ndf") ;
79  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Gamma",TMath::Gamma, "a", "x") ;
80  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Hypot",TMath::Hypot, "x", "y") ;
81  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Poisson",TMath::Poisson, "x", "par") ;
82  RooCFunction2Ref<double,double,double>::fmap().add("TMath::PoissonI",TMath::PoissonI, "x", "par") ;
83  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Power",TMath::Power, "x", "y") ;
84  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Sign",TMath::Sign, "a", "b") ;
85  RooCFunction2Ref<double,double,double>::fmap().add("TMath::Student",TMath::Student, "T", "ndf") ;
86  RooCFunction2Ref<double,double,double>::fmap().add("TMath::StudentI",TMath::StudentI, "T", "ndf") ;
87  RooCFunction2Ref<double,int,double>::fmap().add("TMath::BesselI",TMath::BesselI, "n","x") ;
88  RooCFunction2Ref<double,int,double>::fmap().add("TMath::BesselK",TMath::BesselK, "n", "x") ;
89  RooCFunction2Ref<double,double,int>::fmap().add("TMath::Prob",TMath::Prob,"chi2","ndf") ;
90  RooCFunction2Ref<double,double,int>::fmap().add("TMath::Ldexp",TMath::Ldexp,"x","exp") ;
91  RooCFunction2Ref<double,int,int>::fmap().add("TMath::Binomial",TMath::Binomial,"n","k") ;
92 
93  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::BetaCf",TMath::BetaCf,"x","a","b") ;
94  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::BetaDist",TMath::BetaDist,"x","p","q") ;
95  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::BetaDistI",TMath::BetaDistI,"x","p","q") ;
96  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::BetaIncomplete",TMath::BetaIncomplete,"x","a","b") ;
97  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::BreitWigner",TMath::BreitWigner,"x","mean","gamma") ;
98  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::CauchyDist",TMath::CauchyDist,"x","t","s") ;
99  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::FDist",TMath::FDist,"F","N","M") ;
100  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::FDistI",TMath::FDistI,"F","N","M") ;
101  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::LaplaceDist",TMath::LaplaceDist,"x","alpha","beta") ;
102  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::LaplaceDistI",TMath::LaplaceDistI,"x","alpha","beta") ;
103  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::Vavilov",TMath::Vavilov,"x","kappa","beta2") ;
104  RooCFunction3Ref<double,double,double,double>::fmap().add("TMath::VavilovI",TMath::VavilovI,"x","kappa","beta2") ;
105  RooCFunction3Ref<double,double,double,bool>::fmap().add("TMath::StudentQuantile",TMath::StudentQuantile,"p","ndf","lower_tail") ;
106  RooCFunction3Ref<double,double,int,int>::fmap().add("TMath::BinomialI",TMath::BinomialI,"p","n","k") ;
107 
108  RooCFunction4Ref<double,double,double,double,double>::fmap().add("TMath::GammaDist",TMath::GammaDist,"x","gamma","mu","beta") ;
109  RooCFunction4Ref<double,double,double,double,double>::fmap().add("TMath::LogNormal",TMath::LogNormal,"x","sigma","theta","m") ;
110  RooCFunction4Ref<double,double,double,double,int>::fmap().add("TMath::Voigt",TMath::Voigt,"x","sigma","lg","R") ;
111  RooCFunction4Ref<double,double,double,double,bool>::fmap().add("TMath::Gaus",TMath::Gaus,"x","mean","sigma","norm") ;
112  RooCFunction4Ref<double,double,double,double,bool>::fmap().add("TMath::Landau",TMath::Landau,"x","mpv","sigma","norm") ;
113 
114 }
TMath::ACosH
Double_t ACosH(Double_t)
Definition: TMath.cxx:80
TMath::BesselI
Double_t BesselI(Int_t n, Double_t x)
Compute the Integer Order Modified Bessel function I_n(x) for n=0,1,2,...
Definition: TMath.cxx:1553
TMath::FDist
Double_t FDist(Double_t F, Double_t N, Double_t M)
Computes the density function of F-distribution (probability function, integral of density...
Definition: TMath.cxx:2224
TMath::Landau
Double_t Landau(Double_t x, Double_t mpv=0, Double_t sigma=1, Bool_t norm=kFALSE)
The LANDAU function.
Definition: TMath.cxx:473
TMath::ErfInverse
Double_t ErfInverse(Double_t x)
returns the inverse error function x must be <-1
Definition: TMath.cxx:206
TMath::BreitWigner
Double_t BreitWigner(Double_t x, Double_t mean=0, Double_t gamma=1)
Calculate a Breit Wigner function with mean and gamma.
Definition: TMath.cxx:442
TMath::FDistI
Double_t FDistI(Double_t F, Double_t N, Double_t M)
Calculates the cumulative distribution function of F-distribution, this function occurs in the statis...
Definition: TMath.cxx:2242
TMath::PoissonI
Double_t PoissonI(Double_t x, Double_t par)
compute the Poisson distribution function for (x,par) This is a non-smooth function.
Definition: TMath.cxx:592
TMath::TanH
Double_t TanH(Double_t)
Definition: TMath.h:436
TMath::Sign
T1 Sign(T1 a, T2 b)
Definition: TMathBase.h:155
TMath::Log
Double_t Log(Double_t x)
Definition: TMath.h:526
TMath::KolmogorovProb
Double_t KolmogorovProb(Double_t z)
Calculates the Kolmogorov distribution function, Begin_Html.
Definition: TMath.cxx:635
TMath::LaplaceDistI
Double_t LaplaceDistI(Double_t x, Double_t alpha=0, Double_t beta=1)
Computes the distribution function of Laplace distribution at point x, with location parameter alpha ...
Definition: TMath.cxx:2297
TMath::StudentQuantile
Double_t StudentQuantile(Double_t p, Double_t ndf, Bool_t lower_tail=kTRUE)
Computes quantiles of the Student's t-distribution 1st argument is the probability, at which the quantile is computed 2nd argument - the number of degrees of freedom of the Student distribution When the 3rd argument lower_tail is kTRUE (default)- the algorithm returns such x0, that P(x < x0)=p upper tail (lower_tail is kFALSE)- the algorithm returns such x0, that P(x > x0)=p the algorithm was taken from G.W.Hill, "Algorithm 396, Student's t-quantiles" "Communications of the ACM", 13(10), October 1970.
Definition: TMath.cxx:2553
TMath::NormQuantile
Double_t NormQuantile(Double_t p)
Computes quantiles for standard normal distribution N(0, 1) at probability p ALGORITHM AS241 APPL...
Definition: TMath.cxx:2342
TMath::BetaDist
Double_t BetaDist(Double_t x, Double_t p, Double_t q)
Computes the probability density function of the Beta distribution (the distribution function is comp...
Definition: TMath.cxx:2033
TMath::LaplaceDist
Double_t LaplaceDist(Double_t x, Double_t alpha=0, Double_t beta=1)
Computes the probability density function of Laplace distribution at point x, with location parameter...
Definition: TMath.cxx:2281
TMath::Log2
Double_t Log2(Double_t x)
Definition: TMath.cxx:104
TMath::StruveH1
Double_t StruveH1(Double_t x)
Struve Functions of Order 1.
Definition: TMath.cxx:1809
TMath::Gamma
Double_t Gamma(Double_t z)
Computation of gamma(z) for all z.
Definition: TMath.cxx:352
TMath::BesselJ1
Double_t BesselJ1(Double_t x)
Returns the Bessel function J1(x) for any real x.
Definition: TMath.cxx:1632
TMath::Abs
Short_t Abs(Short_t d)
Definition: TMathBase.h:110
RooCFunction1Ref::fmap
static RooCFunction1Map< VO, VI > & fmap()
TMath::Prob
Double_t Prob(Double_t chi2, Int_t ndf)
Computation of the probability for a certain Chi-squared (chi2) and number of degrees of freedom (ndf...
Definition: TMath.cxx:619
TMath::StudentI
Double_t StudentI(Double_t T, Double_t ndf)
Calculates the cumulative distribution function of Student's t-distribution second parameter stands f...
Definition: TMath.cxx:2529
TMath::Power
LongDouble_t Power(LongDouble_t x, LongDouble_t y)
Definition: TMath.h:501
TMath::Ldexp
Double_t Ldexp(Double_t x, Int_t exp)
Definition: TMath.h:498
TMath::BesselY1
Double_t BesselY1(Double_t x)
Returns the Bessel function Y1(x) for positive x.
Definition: TMath.cxx:1702
TMath::ChisquareQuantile
Double_t ChisquareQuantile(Double_t p, Double_t ndf)
Evaluate the quantiles of the chi-squared probability distribution function.
Definition: TMath.cxx:2141
TMath::ASinH
Double_t ASinH(Double_t)
Definition: TMath.cxx:67
TMath::Log10
Double_t Log10(Double_t x)
Definition: TMath.h:529
TMath::BesselI1
Double_t BesselI1(Double_t x)
Compute the modified Bessel function I_1(x) for any real x.
Definition: TMath.cxx:1457
TMath::Freq
Double_t Freq(Double_t x)
Computation of the normal frequency function freq(x).
Definition: TMath.cxx:268
TMath::ATan2
Double_t ATan2(Double_t, Double_t)
Definition: TMath.h:454
TMath::Erfc
Double_t Erfc(Double_t x)
Compute the complementary error function erfc(x).
Definition: TMath.cxx:197
RooCFunction2Ref::fmap
static RooCFunction2Map< VO, VI1, VI2 > & fmap()
Definition: RooCFunction2Binding.h:131
TMath::DiLog
Double_t DiLog(Double_t x)
The DiLogarithm function Code translated by R.Brun from CERNLIB DILOG function C332.
Definition: TMath.cxx:113
dummy
static RooTMathReg dummy
Definition: RooTMathReg.cxx:27
TMath::VavilovI
Double_t VavilovI(Double_t x, Double_t kappa, Double_t beta2)
Returns the value of the Vavilov distribution function Parameters: 1st - the point were the density f...
Definition: TMath.cxx:2653
TMath::BesselY0
Double_t BesselY0(Double_t x)
Returns the Bessel function Y0(x) for positive x.
Definition: TMath.cxx:1668
TMath::Erf
Double_t Erf(Double_t x)
Computation of the error function erf(x).
Definition: TMath.cxx:187
TMath::BetaDistI
Double_t BetaDistI(Double_t x, Double_t p, Double_t q)
Computes the distribution function of the Beta distribution.
Definition: TMath.cxx:2051
TMath::StruveL1
Double_t StruveL1(Double_t x)
Modified Struve Function of Order 1.
Definition: TMath.cxx:1932
TMath::Voigt
Double_t Voigt(Double_t x, Double_t sigma, Double_t lg, Int_t r=4)
Computation of Voigt function (normalised).
Definition: TMath.cxx:875
TMath::StruveL0
Double_t StruveL0(Double_t x)
Modified Struve Function of Order 0.
Definition: TMath.cxx:1886
TMath::Binomial
Double_t Binomial(Int_t n, Int_t k)
Calculate the binomial coefficient n over k.
Definition: TMath.cxx:2072
TMath::LandauI
Double_t LandauI(Double_t x)
Returns the value of the Landau distribution function at point x.
Definition: TMath.cxx:2682
TMath::ACos
Double_t ACos(Double_t)
Definition: TMath.h:445
TMath::BesselJ0
Double_t BesselJ0(Double_t x)
Returns the Bessel function J0(x) for any real x.
Definition: TMath.cxx:1597
TMath::ErfcInverse
Double_t ErfcInverse(Double_t x)
Definition: TMath.cxx:233
RooCFunction4Ref::fmap
static RooCFunction4Map< VO, VI1, VI2, VI3, VI4 > & fmap()
Definition: RooCFunction4Binding.h:129
TMath::Poisson
Double_t Poisson(Double_t x, Double_t par)
compute the Poisson distribution function for (x,par) The Poisson PDF is implemented by means of Eule...
Definition: TMath.cxx:564
TMath::Student
Double_t Student(Double_t T, Double_t ndf)
Computes density function for Student's t- distribution (the probability function (integral of densit...
Definition: TMath.cxx:2508
TMath::Beta
Double_t Beta(Double_t p, Double_t q)
Calculates Beta-function Gamma(p)*Gamma(q)/Gamma(p+q).
Definition: TMath.cxx:1973
TMath::Cos
Double_t Cos(Double_t)
Definition: TMath.h:424
TMath::Gaus
Double_t Gaus(Double_t x, Double_t mean=0, Double_t sigma=1, Bool_t norm=kFALSE)
Calculate a gaussian function with mean and sigma.
Definition: TMath.cxx:453
TMath::BesselI0
Double_t BesselI0(Double_t x)
Compute the modified Bessel function I_0(x) for any real x.
Definition: TMath.cxx:1389
TMath::BesselK
Double_t BesselK(Int_t n, Double_t x)
Compute the Integer Order Modified Bessel function K_n(x) for n=0,1,2,...
Definition: TMath.cxx:1524
TMath::Exp
Double_t Exp(Double_t x)
Definition: TMath.h:495
RooCFunction3Ref::fmap
static RooCFunction3Map< VO, VI1, VI2, VI3 > & fmap()
Definition: RooCFunction3Binding.h:134
TMath::StruveH0
Double_t StruveH0(Double_t x)
Struve Functions of Order 0.
Definition: TMath.cxx:1740
TMath::Hypot
Double_t Hypot(Double_t x, Double_t y)
Definition: TMath.cxx:60
TMath::BesselK0
Double_t BesselK0(Double_t x)
Compute the modified Bessel function K_0(x) for positive real x.
Definition: TMath.cxx:1423
TMath::BinomialI
Double_t BinomialI(Double_t p, Int_t n, Int_t k)
Suppose an event occurs with probability p per trial Then the probability P of its occuring k or more...
Definition: TMath.cxx:2097
TMath::BetaCf
Double_t BetaCf(Double_t x, Double_t a, Double_t b)
Continued fraction evaluation by modified Lentz's method used in calculation of incomplete Beta funct...
Definition: TMath.cxx:1982
TMath::GammaDist
Double_t GammaDist(Double_t x, Double_t gamma, Double_t mu=0, Double_t beta=1)
Computes the density function of Gamma distribution at point x.
Definition: TMath.cxx:2259
TMath::Factorial
Double_t Factorial(Int_t i)
Compute factorial(n).
Definition: TMath.cxx:250
TMath::Sin
Double_t Sin(Double_t)
Definition: TMath.h:421
TMath::ASin
Double_t ASin(Double_t)
Definition: TMath.h:439
TMath::BesselK1
Double_t BesselK1(Double_t x)
Compute the modified Bessel function K_1(x) for positive real x.
Definition: TMath.cxx:1492
TMath::LnGamma
Double_t LnGamma(Double_t z)
Computation of ln[gamma(z)] for all z.
Definition: TMath.cxx:490
TMath::LogNormal
Double_t LogNormal(Double_t x, Double_t sigma, Double_t theta=0, Double_t m=1)
Computes the density of LogNormal distribution at point x.
Definition: TMath.cxx:2319
TMath::SinH
Double_t SinH(Double_t)
Definition: TMath.h:430
TMath::Sqrt
Double_t Sqrt(Double_t x)
Definition: TMath.h:464
TMath::BetaIncomplete
Double_t BetaIncomplete(Double_t x, Double_t a, Double_t b)
Calculates the incomplete Beta-function.
Definition: TMath.cxx:2064
TMath::CauchyDist
Double_t CauchyDist(Double_t x, Double_t t=0, Double_t s=1)
Computes the density of Cauchy distribution at point x by default, standard Cauchy distribution is us...
Definition: TMath.cxx:2125
TMath::ATanH
Double_t ATanH(Double_t)
Definition: TMath.cxx:93
TMath::CosH
Double_t CosH(Double_t)
Definition: TMath.h:433
TMath::Tan
Double_t Tan(Double_t)
Definition: TMath.h:427
TMath::Vavilov
Double_t Vavilov(Double_t x, Double_t kappa, Double_t beta2)
Returns the value of the Vavilov density function Parameters: 1st - the point were the density functi...
Definition: TMath.cxx:2620
TMath::ATan
Double_t ATan(Double_t)
Definition: TMath.h:451