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Reference Guide
 
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Math tutorials

Examples showing the Math classes.

Files

file  Bessel.C
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Show the different kinds of Bessel functions available in ROOT To execute the macro type in:
 
file  Bessel.py
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Show the different kinds of Bessel functions available in ROOT To execute the macro type in:
 
file  binomial.C
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tutorial illustrating the use of TMath::Binomial can be run with:
 
file  BreitWigner.C
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Tutorial illustrating how to create a plot comparing a Breit Wigner to a Relativistic Breit Wigner
 
file  ChebyshevPol.C
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Example of Chebyshev polynomials using new TFormula pre-defined definitions of chebyshev polynomials
 
file  chi2test.C
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Example to use chi2 test for comparing two histograms One unweighted histogram is compared with a weighted histogram.
 
file  CrystalBall.C
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Example of CrystalBall Function and its distribution (pdf and cdf)
 
file  exampleFunction.py
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Example of using Python functions and input to numerical algorithm using the ROOT Functor class
 
file  exampleFunctor.C
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Tutorial illustrating how creating a TF1 class using functor or class member functions
 
file  exampleMultiRoot.C
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Example of using multiroot finder based on GSL algorithm.
 
file  exampleTKDE.C
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Example of using the TKDE class (kernel density estimator)
 
file  FeldmanCousins.C
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Example macro of using the TFeldmanCousins class in root.
 
file  GammaFun.C
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Example showing the usage of the major special math functions (gamma, beta, erf) in ROOT To execute the macro type in:
 
file  goftest.C
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GoFTest tutorial macro
 
file  hlquantiles.C
 Demo for quantiles (with highlight mode)
 
file  kdTreeBinning.C
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kdTreeBinning tutorial: bin the data in cells of equal content using a kd-tree
 
file  Legendre.C
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Example of first few Legendre Polynomials
 
file  Legendre.py
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Example of first few Legendre Polynomials.
 
file  LegendreAssoc.C
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Example describing the usage of different kinds of Associate Legendre Polynomials To execute the macro type in:
 
file  limit.C
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This program demonstrates the computation of 95 % C.L.
 
file  mathBeta.C
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Test the TMath::BetaDist and TMath::BetaDistI functions
 
file  mathcoreCDF.C
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Example describing how to use the different cumulative distribution functions in ROOT.
 
file  mathcoreGenVector.C
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Example macro testing available methods and operation of the GenVector classes.
 
file  mathcoreSpecFunc.C
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Example macro describing how to use the special mathematical functions taking full advantage of the precision and speed of the C99 compliant environments.
 
file  mathcoreStatFunc.C
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Example macro showing some major probability density functions in ROOT.
 
file  mathcoreStatFunc.py
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Example macro showing some major probability density functions in ROOT.
 
file  mathcoreVectorCollection.C
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Example showing how to write and read a std vector of ROOT::Math LorentzVector in a ROOT tree.
 
file  mathcoreVectorFloatIO.C
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Macro illustrating I/O with Lorentz Vectors of floats The dictionary for LorentzVector of float is not in the libMathCore, therefore is generated when parsed the file with CLING.
 
file  mathcoreVectorIO.C
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Example of I/O of a mathcore Lorentz Vectors in a Tree and comparison with a TLorentzVector.
 
file  mathGammaNormal.C
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Tutorial illustrating the use of TMath::GammaDist and TMath::LogNormal
 
file  mathLaplace.C
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Test the TMath::LaplaceDist and TMath::LaplaceDistI functions
 
file  mathmoreIntegration.C
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Example on the usage of the adaptive 1D integration algorithm of MathMore it calculates the numerically cumulative integral of a distribution (like in this case the BreitWigner) to execute the macro type it (you need to compile with AClic)
 
file  mathmoreIntegrationMultidim.C
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Example on the usage of the multidimensional integration algorithm of MathMore Please refer to the web documentation for further details: https://root.cern.ch/root/htmldoc/guides/users-guide/MathLibraries.html#numerical-integration To execute the macro type the following:
 
file  mathStudent.C
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Tutorial illustrating the use of the Student and F distributions
 
file  multidimSampling.C
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Example of sampling a multi-dim distribution using the DistSampler class NOTE: This tutorial must be run with ACLIC
 
file  multivarGaus.C
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Tutorial illustrating the multivariate gaussian random number generation
 
file  normalDist.C
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Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)
 
file  normalDist.py
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Tutorial illustrating the new statistical distributions functions (pdf, cdf and quantile)
 
file  permute.C
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Tutorial illustrating the use of TMath::Permute can be run with:
 
file  principal.C
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Principal Components Analysis (PCA) example
 
file  principal.py
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Principal Components Analysis (PCA) example
 
file  quantiles.C
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Demo for quantiles
 
file  quasirandom.C
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Example of generating quasi-random numbers
 
file  Rolke.C
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Example of the usage of the TRolke class The TRolke class computes the profile likelihood confidence limits for 7 different model assumptions on systematic/statistical uncertainties
 
file  testrandom.C
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Performance test of all the ROOT random generator (TRandom, TRandom1, TRandom2 and TRandom3) Tests the generator TRandom3 against some ref values and creates a timing table against TRandom, TRandom1 and TRandom2.
 
file  tStudent.C
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Example macro describing the student t distribution
 
file  tStudent.py
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Example macro describing the student t distribution
 
file  TSVDUnfoldExample.C
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Data unfolding using Singular Value Decomposition
 
file  vavilov.C
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Test of the TMath::Vavilov distribution