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ROOT
6.06/09
Reference Guide
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ROOT
6.06/09
Reference Guide
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#include "Rtypes.h"#include "TMathBase.h"#include "TError.h"#include <algorithm>#include <limits>#include <cmath>#include <float.h>
Include dependency graph for TMath.h:Go to the source code of this file.
Classes | |
| struct | TMath::Limits< T > |
| struct | CompareDesc< T > |
| struct | CompareAsc< T > |
Namespaces | |
| TMath | |
Functions | |
| Double_t | TMath::Pi () |
| Double_t | TMath::TwoPi () |
| Double_t | TMath::PiOver2 () |
| Double_t | TMath::PiOver4 () |
| Double_t | TMath::InvPi () |
| Double_t | TMath::RadToDeg () |
| Double_t | TMath::DegToRad () |
| Double_t | TMath::Sqrt2 () |
| Double_t | TMath::E () |
| Double_t | TMath::Ln10 () |
| Double_t | TMath::LogE () |
| Double_t | TMath::C () |
| Double_t | TMath::Ccgs () |
| Double_t | TMath::CUncertainty () |
| Double_t | TMath::G () |
| Double_t | TMath::Gcgs () |
| Double_t | TMath::GUncertainty () |
| Double_t | TMath::GhbarC () |
| Double_t | TMath::GhbarCUncertainty () |
| Double_t | TMath::Gn () |
| Double_t | TMath::GnUncertainty () |
| Double_t | TMath::H () |
| Double_t | TMath::Hcgs () |
| Double_t | TMath::HUncertainty () |
| Double_t | TMath::Hbar () |
| Double_t | TMath::Hbarcgs () |
| Double_t | TMath::HbarUncertainty () |
| Double_t | TMath::HC () |
| Double_t | TMath::HCcgs () |
| Double_t | TMath::K () |
| Double_t | TMath::Kcgs () |
| Double_t | TMath::KUncertainty () |
| Double_t | TMath::Sigma () |
| Double_t | TMath::SigmaUncertainty () |
| Double_t | TMath::Na () |
| Double_t | TMath::NaUncertainty () |
| Double_t | TMath::R () |
| Double_t | TMath::RUncertainty () |
| Double_t | TMath::MWair () |
| Double_t | TMath::Rgair () |
| Double_t | TMath::EulerGamma () |
| Double_t | TMath::Qe () |
| Double_t | TMath::QeUncertainty () |
| Double_t | TMath::Sin (Double_t) |
| Double_t | TMath::Cos (Double_t) |
| Double_t | TMath::Tan (Double_t) |
| Double_t | TMath::SinH (Double_t) |
| Double_t | TMath::CosH (Double_t) |
| Double_t | TMath::TanH (Double_t) |
| Double_t | TMath::ASin (Double_t) |
| Double_t | TMath::ACos (Double_t) |
| Double_t | TMath::ATan (Double_t) |
| Double_t | TMath::ATan2 (Double_t, Double_t) |
| Double_t | TMath::ASinH (Double_t) |
| Double_t | TMath::ACosH (Double_t) |
| Double_t | TMath::ATanH (Double_t) |
| Double_t | TMath::Hypot (Double_t x, Double_t y) |
| Double_t | TMath::Ceil (Double_t x) |
| Int_t | TMath::CeilNint (Double_t x) |
| Double_t | TMath::Floor (Double_t x) |
| Int_t | TMath::FloorNint (Double_t x) |
| template<typename T > | |
| Int_t | TMath::Nint (T x) |
| Double_t | TMath::Sq (Double_t x) |
| Double_t | TMath::Sqrt (Double_t x) |
| Double_t | TMath::Exp (Double_t x) |
| Double_t | TMath::Ldexp (Double_t x, Int_t exp) |
| Double_t | TMath::Factorial (Int_t i) |
| Compute factorial(n). More... | |
| LongDouble_t | TMath::Power (LongDouble_t x, LongDouble_t y) |
| LongDouble_t | TMath::Power (LongDouble_t x, Long64_t y) |
| LongDouble_t | TMath::Power (Long64_t x, Long64_t y) |
| Double_t | TMath::Power (Double_t x, Double_t y) |
| Double_t | TMath::Power (Double_t x, Int_t y) |
| Double_t | TMath::Log (Double_t x) |
| Double_t | TMath::Log2 (Double_t x) |
| Double_t | TMath::Log10 (Double_t x) |
| Int_t | TMath::Finite (Double_t x) |
| Int_t | TMath::IsNaN (Double_t x) |
| Double_t | TMath::QuietNaN () |
| Double_t | TMath::SignalingNaN () |
| Double_t | TMath::Infinity () |
| Long_t | TMath::Hypot (Long_t x, Long_t y) |
| Bool_t | TMath::AreEqualAbs (Double_t af, Double_t bf, Double_t epsilon) |
| Bool_t | TMath::AreEqualRel (Double_t af, Double_t bf, Double_t relPrec) |
| template<typename T > | |
| T | TMath::MinElement (Long64_t n, const T *a) |
| template<typename T > | |
| T | TMath::MaxElement (Long64_t n, const T *a) |
| template<typename T > | |
| Long64_t | TMath::LocMin (Long64_t n, const T *a) |
| template<typename Iterator > | |
| Iterator | TMath::LocMin (Iterator first, Iterator last) |
| template<typename T > | |
| Long64_t | TMath::LocMax (Long64_t n, const T *a) |
| template<typename Iterator > | |
| Iterator | TMath::LocMax (Iterator first, Iterator last) |
| template<typename T > | |
| Long64_t | TMath::BinarySearch (Long64_t n, const T *array, T value) |
| template<typename T > | |
| Long64_t | TMath::BinarySearch (Long64_t n, const T **array, T value) |
| template<typename Iterator , typename Element > | |
| Iterator | TMath::BinarySearch (Iterator first, Iterator last, Element value) |
| ULong_t | TMath::Hash (const void *txt, Int_t ntxt) |
| Calculates hash index from any char string. More... | |
| ULong_t | TMath::Hash (const char *str) |
| Return a case-sensitive hash value (endian independent). More... | |
| template<typename Element , typename Index > | |
| void | TMath::Sort (Index n, const Element *a, Index *index, Bool_t down=kTRUE) |
| template<typename Iterator , typename IndexIterator > | |
| void | TMath::SortItr (Iterator first, Iterator last, IndexIterator index, Bool_t down=kTRUE) |
| void | TMath::BubbleHigh (Int_t Narr, Double_t *arr1, Int_t *arr2) |
| Bubble sort variant to obtain the order of an array's elements into an index in order to do more useful things than the standard built in functions. More... | |
| void | TMath::BubbleLow (Int_t Narr, Double_t *arr1, Int_t *arr2) |
| Opposite ordering of the array arr2[] to that of BubbleHigh. More... | |
| Bool_t | TMath::Permute (Int_t n, Int_t *a) |
| Simple recursive algorithm to find the permutations of n natural numbers, not necessarily all distinct adapted from CERNLIB routine PERMU. More... | |
| void | TMath::Quantiles (Int_t n, Int_t nprob, Double_t *x, Double_t *quantiles, Double_t *prob, Bool_t isSorted=kTRUE, Int_t *index=0, Int_t type=7) |
| Computes sample quantiles, corresponding to the given probabilities Parameters: x -the data sample n - its size quantiles - computed quantiles are returned in there prob - probabilities where to compute quantiles nprob - size of prob array isSorted - is the input array x sorted? NOTE, that when the input is not sorted, an array of integers of size n needs to be allocated. More... | |
| template<typename T > | |
| Bool_t | TMath::IsInside (T xp, T yp, Int_t np, T *x, T *y) |
| template<typename T > | |
| T * | TMath::Cross (const T v1[3], const T v2[3], T out[3]) |
| Float_t | TMath::Normalize (Float_t v[3]) |
| Normalize a vector v in place. More... | |
| Double_t | TMath::Normalize (Double_t v[3]) |
| Normalize a vector v in place. More... | |
| template<typename T > | |
| T | TMath::NormCross (const T v1[3], const T v2[3], T out[3]) |
| template<typename T > | |
| T * | TMath::Normal2Plane (const T v1[3], const T v2[3], const T v3[3], T normal[3]) |
| Bool_t | TMath::RootsCubic (const Double_t coef[4], Double_t &a, Double_t &b, Double_t &c) |
| Calculates roots of polynomial of 3rd order a*x^3 + b*x^2 + c*x + d, where a == coef[3], b == coef[2], c == coef[1], d == coef[0] coef[3] must be different from 0 If the boolean returned by the method is false: ==> there are 3 real roots a,b,c If the boolean returned by the method is true: ==> there is one real root a and 2 complex conjugates roots (b+i*c,b-i*c) Author: Francois-Xavier Gentit. More... | |
| Double_t | TMath::Binomial (Int_t n, Int_t k) |
| Calculate the binomial coefficient n over k. More... | |
| Double_t | TMath::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 times in n trials is termed a cumulative binomial probability the formula is P = sum_from_j=k_to_n(TMath::Binomial(n, j)* *TMath::Power(p, j)*TMathPower(1-p, n-j) For n larger than 12 BetaIncomplete is a much better way to evaluate the sum than would be the straightforward sum calculation for n smaller than 12 either method is acceptable ("Numerical Recipes") –implementation by Anna Kreshuk. More... | |
| Double_t | TMath::BreitWigner (Double_t x, Double_t mean=0, Double_t gamma=1) |
| Calculate a Breit Wigner function with mean and gamma. More... | |
| Double_t | TMath::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 used (t=0, s=1) t is the location parameter s is the scale parameter The Cauchy distribution, also called Lorentzian distribution, is a continuous distribution describing resonance behavior The mean and standard deviation of the Cauchy distribution are undefined. More... | |
| Double_t | TMath::ChisquareQuantile (Double_t p, Double_t ndf) |
| Evaluate the quantiles of the chi-squared probability distribution function. More... | |
| Double_t | TMath::FDist (Double_t F, Double_t N, Double_t M) |
| Computes the density function of F-distribution (probability function, integral of density, is computed in FDistI). More... | |
| Double_t | TMath::FDistI (Double_t F, Double_t N, Double_t M) |
| Calculates the cumulative distribution function of F-distribution, this function occurs in the statistical test of whether two observed samples have the same variance. More... | |
| Double_t | TMath::Gaus (Double_t x, Double_t mean=0, Double_t sigma=1, Bool_t norm=kFALSE) |
| Calculate a gaussian function with mean and sigma. More... | |
| Double_t | TMath::KolmogorovProb (Double_t z) |
| Calculates the Kolmogorov distribution function, Begin_Html. More... | |
| Double_t | TMath::KolmogorovTest (Int_t na, const Double_t *a, Int_t nb, const Double_t *b, Option_t *option) |
| Statistical test whether two one-dimensional sets of points are compatible with coming from the same parent distribution, using the Kolmogorov test. More... | |
| Double_t | TMath::Landau (Double_t x, Double_t mpv=0, Double_t sigma=1, Bool_t norm=kFALSE) |
| The LANDAU function. More... | |
| Double_t | TMath::LandauI (Double_t x) |
| Returns the value of the Landau distribution function at point x. More... | |
| Double_t | TMath::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 alpha and shape parameter beta. More... | |
| Double_t | TMath::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 and shape parameter beta. More... | |
| Double_t | TMath::LogNormal (Double_t x, Double_t sigma, Double_t theta=0, Double_t m=1) |
| Computes the density of LogNormal distribution at point x. More... | |
| Double_t | TMath::NormQuantile (Double_t p) |
| Computes quantiles for standard normal distribution N(0, 1) at probability p ALGORITHM AS241 APPL. More... | |
| Double_t | TMath::Poisson (Double_t x, Double_t par) |
| compute the Poisson distribution function for (x,par) The Poisson PDF is implemented by means of Euler's Gamma-function (for the factorial), so for any x integer argument it is correct. More... | |
| Double_t | TMath::PoissonI (Double_t x, Double_t par) |
| compute the Poisson distribution function for (x,par) This is a non-smooth function. More... | |
| Double_t | TMath::Prob (Double_t chi2, Int_t ndf) |
| Computation of the probability for a certain Chi-squared (chi2) and number of degrees of freedom (ndf). More... | |
| Double_t | TMath::Student (Double_t T, Double_t ndf) |
| Computes density function for Student's t- distribution (the probability function (integral of density) is computed in StudentI). More... | |
| Double_t | TMath::StudentI (Double_t T, Double_t ndf) |
| Calculates the cumulative distribution function of Student's t-distribution second parameter stands for number of degrees of freedom, not for the number of samples if x has Student's t-distribution, the function returns the probability of x being less than T. More... | |
| Double_t | TMath::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. More... | |
| Double_t | TMath::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 function is evaluated 2nd - value of kappa (distribution parameter) 3rd - value of beta2 (distribution parameter) The algorithm was taken from the CernLib function vavden(G115) Reference: A.Rotondi and P.Montagna, Fast Calculation of Vavilov distribution Nucl.Instr. More... | |
| Double_t | TMath::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 function is evaluated 2nd - value of kappa (distribution parameter) 3rd - value of beta2 (distribution parameter) The algorithm was taken from the CernLib function vavden(G115) Reference: A.Rotondi and P.Montagna, Fast Calculation of Vavilov distribution Nucl.Instr. More... | |
| Double_t | TMath::Voigt (Double_t x, Double_t sigma, Double_t lg, Int_t r=4) |
| Computation of Voigt function (normalised). More... | |
| template<typename T > | |
| Double_t | TMath::Mean (Long64_t n, const T *a, const Double_t *w=0) |
| template<typename Iterator > | |
| Double_t | TMath::Mean (Iterator first, Iterator last) |
| template<typename Iterator , typename WeightIterator > | |
| Double_t | TMath::Mean (Iterator first, Iterator last, WeightIterator wfirst) |
| template<typename T > | |
| Double_t | TMath::GeomMean (Long64_t n, const T *a) |
| template<typename Iterator > | |
| Double_t | TMath::GeomMean (Iterator first, Iterator last) |
| template<typename T > | |
| Double_t | TMath::RMS (Long64_t n, const T *a, const Double_t *w=0) |
| template<typename Iterator > | |
| Double_t | TMath::RMS (Iterator first, Iterator last) |
| template<typename Iterator , typename WeightIterator > | |
| Double_t | TMath::RMS (Iterator first, Iterator last, WeightIterator wfirst) |
| template<typename T > | |
| Double_t | TMath::StdDev (Long64_t n, const T *a, const Double_t *w=0) |
| template<typename Iterator > | |
| Double_t | TMath::StdDev (Iterator first, Iterator last) |
| template<typename Iterator , typename WeightIterator > | |
| Double_t | TMath::StdDev (Iterator first, Iterator last, WeightIterator wfirst) |
| template<typename T > | |
| Double_t | TMath::Median (Long64_t n, const T *a, const Double_t *w=0, Long64_t *work=0) |
| template<class Element , typename Size > | |
| Element | TMath::KOrdStat (Size n, const Element *a, Size k, Size *work=0) |
| Double_t | TMath::Beta (Double_t p, Double_t q) |
| Calculates Beta-function Gamma(p)*Gamma(q)/Gamma(p+q). More... | |
| Double_t | TMath::BetaCf (Double_t x, Double_t a, Double_t b) |
| Continued fraction evaluation by modified Lentz's method used in calculation of incomplete Beta function. More... | |
| Double_t | TMath::BetaDist (Double_t x, Double_t p, Double_t q) |
| Computes the probability density function of the Beta distribution (the distribution function is computed in BetaDistI). More... | |
| Double_t | TMath::BetaDistI (Double_t x, Double_t p, Double_t q) |
| Computes the distribution function of the Beta distribution. More... | |
| Double_t | TMath::BetaIncomplete (Double_t x, Double_t a, Double_t b) |
| Calculates the incomplete Beta-function. More... | |
| Double_t | TMath::BesselI (Int_t n, Double_t x) |
| Compute the Integer Order Modified Bessel function I_n(x) for n=0,1,2,... More... | |
| Double_t | TMath::BesselK (Int_t n, Double_t x) |
| Compute the Integer Order Modified Bessel function K_n(x) for n=0,1,2,... More... | |
| Double_t | TMath::BesselI0 (Double_t x) |
| Compute the modified Bessel function I_0(x) for any real x. More... | |
| Double_t | TMath::BesselK0 (Double_t x) |
| Compute the modified Bessel function K_0(x) for positive real x. More... | |
| Double_t | TMath::BesselI1 (Double_t x) |
| Compute the modified Bessel function I_1(x) for any real x. More... | |
| Double_t | TMath::BesselK1 (Double_t x) |
| Compute the modified Bessel function K_1(x) for positive real x. More... | |
| Double_t | TMath::BesselJ0 (Double_t x) |
| Returns the Bessel function J0(x) for any real x. More... | |
| Double_t | TMath::BesselJ1 (Double_t x) |
| Returns the Bessel function J1(x) for any real x. More... | |
| Double_t | TMath::BesselY0 (Double_t x) |
| Returns the Bessel function Y0(x) for positive x. More... | |
| Double_t | TMath::BesselY1 (Double_t x) |
| Returns the Bessel function Y1(x) for positive x. More... | |
| Double_t | TMath::StruveH0 (Double_t x) |
| Struve Functions of Order 0. More... | |
| Double_t | TMath::StruveH1 (Double_t x) |
| Struve Functions of Order 1. More... | |
| Double_t | TMath::StruveL0 (Double_t x) |
| Modified Struve Function of Order 0. More... | |
| Double_t | TMath::StruveL1 (Double_t x) |
| Modified Struve Function of Order 1. More... | |
| Double_t | TMath::DiLog (Double_t x) |
| The DiLogarithm function Code translated by R.Brun from CERNLIB DILOG function C332. More... | |
| Double_t | TMath::Erf (Double_t x) |
| Computation of the error function erf(x). More... | |
| Double_t | TMath::ErfInverse (Double_t x) |
| returns the inverse error function x must be <-1<x<1 More... | |
| Double_t | TMath::Erfc (Double_t x) |
| Compute the complementary error function erfc(x). More... | |
| Double_t | TMath::ErfcInverse (Double_t x) |
| Double_t | TMath::Freq (Double_t x) |
| Computation of the normal frequency function freq(x). More... | |
| Double_t | TMath::Gamma (Double_t z) |
| Computation of gamma(z) for all z. More... | |
| Double_t | TMath::Gamma (Double_t a, Double_t x) |
| Computation of the normalized lower incomplete gamma function P(a,x) as defined in the Handbook of Mathematical Functions by Abramowitz and Stegun, formula 6.5.1 on page 260 . More... | |
| Double_t | TMath::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. More... | |
| Double_t | TMath::LnGamma (Double_t z) |
| Computation of ln[gamma(z)] for all z. More... | |
| double | sin (double) |
| double | cos (double) |
| double | tan (double) |
| double | sinh (double) |
| double | cosh (double) |
| double | tanh (double) |
| double | asin (double) |
| double | acos (double) |
| double | atan (double) |
| double | atan2 (double, double) |
| double | sqrt (double) |
| double | exp (double) |
| double | pow (double, double) |
| double | log (double) |
| double | log10 (double) |
| int | finite (double) |
| int | isnan (double) |
| double | ldexp (double, int) |
| double | ceil (double) |
| double | floor (double) |
Referenced by ROOT::Vc::Scalar::asin(), TMath::ASin(), ClassImp(), TSpectrum2Painter::ColorCalculation(), ROOT::Math::gv_detail::convert(), dpStep3(), ROOT::Minuit2::SinParameterTransformation::Ext2int(), ROOT::Math::SinVariableTransformation::Ext2int(), ROOT::Math::AxisAngle::operator*(), and testAsin().
Referenced by RooBreitWigner::analyticalIntegral(), ROOT::Vc::Scalar::atan(), TMath::ATan(), ROOT::Math::breitwigner_cdf(), ROOT::Math::breitwigner_cdf_c(), ROOT::Math::cauchy_cdf(), ROOT::Math::cauchy_cdf_c(), ClassImp(), dpStep1(), ROOT::Minuit2::SinParameterTransformation::Ext2int(), ROOT::Math::SinVariableTransformation::Ext2int(), TQuaternion::GetQAngle(), testAtan(), ROOT::Math::CylindricalEta3D< T >::Theta(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Theta(), and ROOT::Math::PtEtaPhiM4D< ScalarType >::Theta().
Referenced by RooBifurGauss::analyticalIntegral(), RooGaussian::analyticalIntegral(), RooArgusBG::analyticalIntegral(), RooGaussModel::analyticalIntegral(), ROOT::Math::RotationZ::Angle(), ROOT::Math::RotationX::Angle(), ROOT::Math::RotationY::Angle(), ROOT::Vc::Scalar::atan2(), TMath::ATan2(), RooGExpModel::calcDecayConv(), ClassImp(), ROOT::Math::gv_detail::convert(), RooGaussModel::evalCerfApprox(), RooGExpModel::evalCerfApprox(), RooGaussModel::evaluate(), ROOT::Math::RotationZ::GetAngle(), ROOT::Math::RotationX::GetAngle(), ROOT::Math::RotationY::GetAngle(), main(), ROOT::Math::Cartesian2D< T >::Phi(), ROOT::Math::Cartesian3D< Double32_t >::Phi(), ROOT::Math::PxPyPzE4D< Double32_t >::Phi(), ROOT::Math::PxPyPzM4D< ScalarType >::Phi(), RooEllipse::RooEllipse(), RooVoigtian::RooVoigtian(), ROOTwriter.ROOTwriter::rotXYZ(), RooComplex::sqrt(), test3D(), test4D(), testAtan2(), testCircle(), testSphere(), ROOT::Math::Cartesian3D< Double32_t >::Theta(), ROOT::Math::Cylindrical3D< T >::Theta(), ROOT::Math::PxPyPzE4D< Double32_t >::Theta(), and ROOT::Math::PxPyPzM4D< ScalarType >::Theta().
Referenced by RooSpHarmonic::analyticalIntegral(), RooTruthModel::analyticalIntegral(), ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), TMath::BesselJ0(), TMath::BesselJ1(), TMath::BesselY0(), TMath::BesselY1(), TCurlyArc::Build(), ROOT::Math::GaussLegendreIntegrator::CalcGaussLegendreSamplingPoints(), ROOT::Math::Cartesian2D< T >::Cartesian2D(), ROOT::Math::Cartesian3D< Double32_t >::Cartesian3D(), ROOT::Math::VavilovAccurate::Cdf(), ROOT::Math::VavilovAccurate::Cdf_c(), faddeeva_impl::cexp(), city_distance(), ClassImp(), ROOT::Math::gv_detail::convert(), ROOT::Vc::Scalar::cos(), TMath::Cos(), TKDE::CosineArchKernel(), ROOT::Math::cosint(), ROOT::Math::KelvinFunctions::DBei(), dfu(), ROOT::Minuit2::SinParameterTransformation::DInt2Ext(), ROOT::Math::SinVariableTransformation::DInt2Ext(), ROOT::Math::KelvinFunctions::DKei(), dpStep1(), RooSpHarmonic::evaluate(), RooTruthModel::evaluate(), RooComplex::exp(), ROOT::Math::KelvinFunctions::F1(), ROOT::Math::KelvinFunctions::F2(), RooBMixDecay::generateEvent(), RooBCPEffDecay::generateEvent(), RooBCPGenDecay::generateEvent(), RooBDecay::generateEvent(), RooNonCPEigenDecay::generateEvent(), TEveTrans::GetRotAngles(), gsl_poly_complex_solve_cubic(), gsl_poly_complex_solve_quartic(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), myFunc(), ROOT::Minuit2::GaussRandomGen::operator()(), ROOT::Math::AxisAngle::operator*(), ROOT::Math::Cartesian2D< T >::operator=(), ROOT::Math::Cartesian3D< Double32_t >::operator=(), TSpectrum2Painter::Paint(), parsecommandline(), ROOT::Math::VavilovAccurate::Pdf(), THistPainter::ProjectSinusoidal2xy(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Px(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Px(), quality_statistics(), ROOT::Math::RotationX::Rectify(), ROOT::Math::RotationY::Rectify(), ROOT::Math::RotationZ::Rectify(), RooEllipse::RooEllipse(), ROOT::Math::Cartesian2D< T >::Rotate(), TEveTrans::RotateLF(), TGLMatrix::RotateLF(), TEveTrans::RotatePF(), TGLMatrix::RotatePF(), ROOT::Math::VectorUtil::RotateX(), ROOT::Math::VectorUtil::RotateY(), ROOT::Math::VectorUtil::RotateZ(), rxv(), ryv(), rzv(), ROOT::Math::VavilovAccurate::Set(), ROOT::Math::RotationX::SetAngle(), ROOT::Math::RotationZ::SetAngle(), ROOT::Math::RotationY::SetAngle(), TQuaternion::SetAxisQAngle(), TQuaternion::SetQAngle(), TTF::SetRotationMatrix(), ROOT::Vc::Scalar::sincos(), ROOT::Math::sinint(), ROOT::Math::sph_legendre(), RooComplex::sqrt(), testCos(), testInterpolation(), testSincos(), TGSpeedo::Translate(), ROOT::Math::Polar2D< T >::X(), ROOT::Math::Polar3D< T >::X(), ROOT::Math::Cylindrical3D< T >::X(), ROOT::Math::CylindricalEta3D< T >::X(), and ROOT::Math::Polar3D< T >::Z().
Referenced by ClassImp(), TMath::CosH(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Et(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Et(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Et2(), RooTruthModel::evaluate(), RooBDecay::generateEvent(), ROOT::Math::PtEtaPhiE4D< ScalarType >::P(), ROOT::Math::PtEtaPhiM4D< ScalarType >::P(), and ROOT::Math::CylindricalEta3D< T >::R().
Referenced by TMVA::MethodBDT::AdaBoost(), TMVA::MethodBDT::AdaBoostR2(), TParallelCoord::AddVariable(), AnalyticalIntegral(), RooPoisson::analyticalIntegral(), RooExponential::analyticalIntegral(), RooCBShape::analyticalIntegral(), RooNonCentralChiSquare::analyticalIntegral(), RooArgusBG::analyticalIntegral(), RooDstD0BG::analyticalIntegral(), RooMultiVarGaussian::analyticalIntegral(), RooGaussModel::analyticalIntegral(), RooTruthModel::analyticalIntegral(), TSpectrumFit::Area(), ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), TMath::BesselI1(), TMath::BesselK0(), TMath::BesselK1(), ROOT::Math::beta(), ROOT::Math::Cephes::beta(), ROOT::Math::beta_pdf(), ROOT::Math::bigaussian_pdf(), ROOT::Math::binomial_pdf(), RooGExpModel::calcDecayConv(), TMVA::MethodMLP::CalculateEstimator(), faddeeva_impl::cexp(), ROOT::Math::chisquared_pdf(), ClassImp(), TSpectrum2Painter::ColorCalculation(), ComputeAdaptiveWeights(), ROOT::Math::crystalball_cdf(), ROOT::Math::crystalball_cdf_c(), ROOT::Math::crystalball_function(), ROOT::Math::crystalball_integral(), ROOT::Math::crystalball_pdf(), TProofDrawProfile::DefVar(), TProofDrawProfile2D::DefVar(), TProofDrawHist::DefVar1D(), TProofDrawHist::DefVar2D(), TProofDrawHist::DefVar3D(), TSpectrumFit::Deramp(), TSpectrum2Fit::Deramp2(), TSpectrum2Fit::Derampx(), TSpectrumFit::Derb(), TSpectrum2Fit::Derbx(), TSpectrum2Fit::Derby(), TSpectrumFit::Derderi0(), TSpectrum2Fit::Derderi01(), TSpectrum2Fit::Derderi02(), TSpectrum2Fit::Derderj02(), TSpectrumFit::Derdersigma(), TSpectrum2Fit::Derdersigmax(), TSpectrum2Fit::Derdersigmay(), TSpectrumFit::Derfc(), TSpectrum2Fit::Derfc(), TSpectrumFit::Deri0(), TSpectrum2Fit::Deri01(), TSpectrum2Fit::Deri02(), TSpectrum2Fit::Derj02(), TSpectrumFit::Derpa(), TSpectrumFit::Derpb(), TSpectrumFit::Derpsigma(), TSpectrumFit::Derpt(), TSpectrum2Fit::Derro(), TSpectrumFit::Dersigma(), TSpectrum2Fit::Dersigmax(), TSpectrum2Fit::Dersigmay(), TSpectrumFit::Dert(), TSpectrum2Fit::Dertx(), TSpectrum2Fit::Dertxy(), TSpectrum2Fit::Derty(), GaussFunction::DoEvalPar(), TAxisEditor::DoNoExponent(), dpStep1(), TSpectrumFit::Erfc(), TSpectrum2Fit::Erfc(), ROOT::Math::Cephes::erfc(), RooGaussModel::evalCerf(), RooGExpModel::evalCerf(), RooGaussModel::evalCerfApprox(), RooGExpModel::evalCerfApprox(), RooGExpModel::evalCerfRe(), RooExponential::evaluate(), RooChiSquarePdf::evaluate(), RooArgusBG::evaluate(), RooBifurGauss::evaluate(), RooDstD0BG::evaluate(), RooGaussian::evaluate(), RooNonCentralChiSquare::evaluate(), RooVoigtian::evaluate(), RooCBShape::evaluate(), RooTruthModel::evaluate(), RooGaussModel::evaluate(), RooBukinPdf::evaluate(), RooGExpModel::evaluate(), RooMultiVarGaussian::evaluate(), Roo2DKeysPdf::evaluateFull(), ROOT::Vc::Scalar::exp(), TMath::Exp(), ROOT::Math::expm1(), ROOT::Math::exponential_cdf_c(), ROOT::Math::exponential_pdf(), ROOT::Math::fdistribution_pdf(), ROOT::FromHumanReadableSize(), RooKeysPdf::g(), Roo2DKeysPdf::g(), ROOT::Math::VavilovAccurate::G116f2(), ROOT::Math::gamma_pdf(), TRandom::Gaus(), gaus100d(), gaus10d(), gaus2d(), gaus3d(), ROOT::Math::RandomFunctionsImpl< TRandomEngine >::GausACR(), TMVA::MethodKNN::GausKernel(), gausnorm(), RooNDKeysPdf::gauss(), gaussian(), ROOT::Math::gaussian_pdf(), TKDE::GaussianKernel(), GaussPdf(), RooBDecay::generateEvent(), genPoisson(), genPoisson2(), TMVA::MethodBDT::GetGradBoostMVA(), ROOT::Minuit2::GaussianModelFunction::GetGradient(), TMVA::MethodFDA::GetMulticlassValues(), TMVA::MethodBDT::GetMulticlassValues(), TMVA::MethodANNBase::GetMulticlassValues(), TMVA::MethodPDEFoam::GetMulticlassValues(), TTreeDrawArgsParser::GetVarExp(), Roo2DKeysPdf::highBoundaryCorrection(), ROOT::Math::Cephes::igam(), ROOT::Math::Cephes::igamc(), ROOT::Math::Cephes::igami(), ROOT::Math::Cephes::incbet(), ROOT::Math::Cephes::incbi(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::landau_cdf(), ROOT::Math::landau_pdf(), ROOT::Math::landau_xm1(), ROOT::Math::landau_xm2(), TGVerticalLayout::Layout(), TGHorizontalLayout::Layout(), RooKeysPdf::LoadDataSet(), RooGExpModel::logErfC(), ROOT::Math::lognormal_pdf(), ROOT::Math::lognormal_quantile(), ROOT::Math::lognormal_quantile_c(), Roo2DKeysPdf::lowBoundaryCorrection(), ROOT::Math::KelvinFunctions::M(), main(), Makepat(), RooMapCatEntry::mangle(), RooMappedCategory::Entry::mangle(), ROOT::Math::BrentMethods::MinimStep(), ROOT::Math::KelvinFunctions::N(), ROOT::Math::negative_binomial_pdf(), ROOT::Math::noncentral_chisquared_pdf(), ROOT::Math::normal_pdf(), ROOT::Minuit2::GaussFunction::operator()(), GaussFunction::operator()(), RooHistError::PoissonSum::operator()(), ROOT::Minuit2::GaussianModelFunction::operator()(), TGaxis::PaintAxis(), GaussFunction::ParameterGradient(), ROOT::Math::VavilovFast::Pdf(), ROOT::Math::poisson_pdf(), ROOT::Math::Cephes::pseries(), ROOT::Math::GoFTest::PValueAD1Sample(), ROOT::Math::GoFTest::PValueADKSamples(), ROOT::Math::VavilovFast::Quantile(), TMVA::VariableInfo::ReadFromStream(), TGLCameraOverlay::RenderBar(), RooStats::HypoTestInverterOriginal::RunAutoScan(), RooStats::HypoTestInverter::RunFixedScan(), TSpectrum3::SearchHighRes(), ROOT::Math::VavilovAccurate::Set(), ROOT::Math::VavilovFast::SetKappaBeta2(), TSpectrum2Painter::ShadowColorCalculation(), TSpectrumFit::Shape(), TSpectrum2Fit::Shape2(), TProofDrawHist::SlaveBegin(), TProofDrawProfile::SlaveBegin(), TProofDrawProfile2D::SlaveBegin(), XrdProofdProtocol::StartRootd(), ROOT::Math::Cephes::stirf(), ROOT::Math::tdistribution_pdf(), testExp(), testFrexp(), testUlpDiff(), ROOT::Math::CylindricalEta3D< T >::Theta(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Theta(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Theta(), ROOT::ToHumanReadableSize(), ulpDiffToReference(), TMVA::MethodBDT::UpdateTargets(), and TMath::Voigt().
| int finite | ( | double | ) |
Referenced by TH2Poly::AddBinToPartition(), RooKeysPdf::analyticalIntegral(), XrdProofdNetMgr::BalanceNodesOrder(), ClassImp(), TGDMLWrite::CreateDivisionN(), TColor::CreateGradientColorTable(), RooPoisson::evaluate(), RooKeysPdf::evaluate(), ROOT::Vc::Common::exp(), TH2Poly::Fill(), TH2Poly::FindBin(), ROOT::Vc::Scalar::floor(), TMath::Floor(), TMath::FloorNint(), ROOT::Math::format(), ROOT::Math::Cephes::gamma(), genPoisson2(), TMVA::OptimizeConfigParameters::GetScanIndices(), GetThroughputs(), TColor::HSV2RGB(), TMVA::MethodBDT::InitEventSample(), TBufferJSON::JsonWriteBasic(), ROOT::Math::Cephes::lgam(), RooKeysPdf::LoadDataSet(), my_trunc(), ROOT::Math::myRound(), ROOT::Math::RotationY::operator*(), ROOT::Math::RotationZ::operator*(), ROOT::Math::RotationX::operator*(), ROOT::Math::RotationZYX::operator*(), ROOT::Math::EulerAngles::operator*(), ROOT::Math::RotationY::Rectify(), ROOT::Math::RotationZ::Rectify(), ROOT::Math::RotationX::Rectify(), ROOT::Math::EulerAngles::Rectify(), ROOT::Math::RotationZYX::Rectify(), ROOT::Math::Cylindrical3D< T >::Restrict(), ROOT::Math::CylindricalEta3D< T >::Restrict(), ROOT::Math::Polar2D< T >::Restrict(), ROOT::Math::Polar3D< T >::Restrict(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Restrict(), ROOT::Math::PtEtaPhiM4D< ScalarType >::RestrictPhi(), ROOT::Vc::Scalar::round(), TMonaLisaWriter::SendFileCloseEvent(), TPad::ShowGuidelines(), testFloor(), testRandomDist(), testRound(), ROOT::Vc::Scalar::trunc(), and RooMCIntegrator::vegas().
| int isnan | ( | double | ) |
Referenced by ROOT::Vc::Scalar::isnan(), testAtan(), testAtan2(), testNaN(), and ulpDiffToReference().
Referenced by ROOT::Vc::Common::exp(), TMath::Ldexp(), testLdexp(), testRSqrt(), testUlpDiff(), and ulpDiffToReference().
Referenced by TMath::ACosH(), RooCBShape::analyticalIntegral(), TMath::ASinH(), TMath::ATanH(), XrdProofConn::Authenticate(), TMath::BesselK0(), TMath::BesselK1(), TMath::BesselY0(), TMath::BesselY1(), ROOT::Math::beta_pdf(), ROOT::Math::binomial_pdf(), ROOT::Math::chisquared_pdf(), ClassImp(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::ColinearRapidity(), TSpectrum2Painter::ColorCalculation(), TGLScenePad::ComposePolymarker(), ComputeAdaptiveWeights(), ROOT::Math::cosint(), TCivetweb::Create(), TGLPlot3D::CreatePlot(), RooStats::BernsteinCorrection::CreateQSamplingDist(), ROOT::Math::crystalball_integral(), ROOT::Math::CylindricalEta3D< T >::CylindricalEta3D(), ROOT::Math::KelvinFunctions::DKei(), ROOT::Math::KelvinFunctions::DKer(), dpStep2(), ROOT::Math::VavilovAccurate::E1plLog(), TMVA::MethodFDA::EstimatorFunction(), ROOT::Math::Impl::Eta_FromRhoZ(), ROOT::Math::Impl::Eta_FromTheta(), ROOT::Math::etaMax_impl(), ROOT::Math::Util::EvalLog(), RooNovosibirsk::evaluate(), RooBukinPdf::evaluate(), ROOT::Minuit2::FumiliStandardMaximumLikelihoodFCN::EvaluateAll(), RooNLLVar::evaluatePartition(), ROOT::Math::exponential_quantile_c(), RooAbsPdf::extendedTerm(), ROOT::Math::fdistribution_pdf(), ROOT::Math::VavilovAccurate::G116f1(), ROOT::Math::gamma_pdf(), TRandom::Gaus(), ROOT::Math::RandomFunctionsImpl< TRandomEngine >::GausACR(), ROOT::Math::RandomFunctionsImpl< TRandomEngine >::GausBM(), GaussFunction::GaussFunction(), RooDecay::generateEvent(), RooBMixDecay::generateEvent(), RooBCPEffDecay::generateEvent(), RooBCPGenDecay::generateEvent(), RooBDecay::generateEvent(), RooGExpModel::generateEvent(), RooNonCPEigenDecay::generateEvent(), genPoisson(), genPoisson2(), TMVA::LogInterval::GetElement(), RooHistConstraint::getLogVal(), RooPoisson::getLogVal(), RooGaussian::getLogVal(), RooAbsPdf::getLogVal(), ROOT::Math::GoFTest::GetSigmaN(), ROOT::Math::Cephes::igam(), ROOT::Math::Cephes::igamc(), ROOT::Math::Cephes::igami(), RooStats::BernsteinCorrection::ImportCorrectedPdf(), ROOT::Math::Cephes::incbet(), ROOT::Math::Cephes::incbi(), ROOT::Fit::InitExpo(), ROOT::Math::VavilovAccurate::InitQuantile(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::landau_cdf(), ROOT::Math::landau_pdf(), ROOT::Math::landau_quantile(), ROOT::Math::landau_xm1(), ROOT::Math::landau_xm2(), ROOT::Math::Cephes::lgam(), ROOT::Vc::Scalar::log(), TMath::Log(), ROOT::Math::log1p(), TMath::Log2(), log_gaus2d(), log_gaus3d(), RooGExpModel::logErfC(), LogMultiGaussPdf(), ROOT::Math::lognormal_cdf(), ROOT::Math::lognormal_cdf_c(), ROOT::Math::lognormal_pdf(), UnuranDistrMulti< Function >::Logpdf(), RooHistConstraint::logSum(), ROOT::Fit::BinData::LogTransform(), RooBlindTools::MakeGaussianOffset(), ROOT::Math::Vavilov::Mean(), ROOT::Math::BrentMethods::MinimStep(), ROOT::Math::Vavilov::Mode(), ROOT::Math::VavilovAccurate::Mode(), my_log2(), ROOT::Math::Cephes::ndtri(), ROOT::Math::negative_binomial_pdf(), TProofServLogHandler::Notify(), TGLScenePad::ObjectPaint(), ROOT::Minuit2::GaussRandomGen::operator()(), TSpectrum2Painter::Paint(), TMath::Poisson(), ROOT::Math::poisson_pdf(), RooStats::HistFactory::FlexibleInterpVar::PolyInterpValue(), ROOT::Math::Cephes::pseries(), ROOT::Math::GoFTest::PValueADKSamples(), TLorentzVector::Rapidity(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Rapidity(), RooGrid::refine(), RooBukinPdf::RooBukinPdf(), RooStats::HypoTestInverterOriginal::RunAutoScan(), RooStats::HypoTestInverter::RunFixedScan(), RooStats::HypoTestInverter::RunLimit(), ROOT::Math::VavilovAccurate::Set(), ROOT::Math::VavilovFast::SetKappaBeta2(), TSessionViewer::SetLogWindow(), TFumili::SGZ(), test3D(), test4D(), testLog(), ROOT::ToHumanReadableSize(), TSpectrum2Painter::Transform(), TGLScene::UpdateLogical(), and TGLScene::UpdatePhysioLogical().
Referenced by RooHist::addAsymmetryBinWithError(), RooHist::addEfficiencyBinWithError(), AnalyticalIntegral(), RooBernstein::analyticalIntegral(), RooNonCentralChiSquare::analyticalIntegral(), RooPolyVar::analyticalIntegral(), RooPolynomial::analyticalIntegral(), RooMultiVarGaussian::analyticalIntegral(), BinomialProbHelper::BinomialProbHelper(), TGLPhysicalShape::CalculateShapeLOD(), CheckBasicTreeProperties(), ClassImp(), RooStats::HypoTestResult::CLsError(), ROOT::Math::crystalball_function(), ROOT::Math::crystalball_integral(), ROOT::Math::TDataPointN< _val_type >::Distance(), ROOT::Math::TDataPoint< K, _val_type >::Distance(), ROOT::Math::IntegrandTransform::DoEval(), ROOT::Math::AdaptiveIntegratorMultiDim::DoIntegral(), ROOT::Math::WrappedTF1::DoParameterDerivative(), ROOT::Math::WrappedMultiTF1::DoParameterDerivative(), ROOT::Math::Impl::Eta_FromRhoZ(), RooChiSquarePdf::evaluate(), RooMoment::evaluate(), RooNonCentralChiSquare::evaluate(), RooPolyVar::evaluate(), RooPolynomial::evaluate(), RooStats::HistFactory::FlexibleInterpVar::evaluate(), PiecewiseInterpolation::evaluate(), ROOT::Math::format(), ROOT::FromHumanReadableSize(), TKDE::GetBias(), TMVA::Tools::GetCorrelationRatio(), ROOT::Math::KDTree< _DataPoint >::BinNode::GetEffectiveEntries(), TKDE::GetRAMISE(), ROOT::Math::GoFTest::GetSigmaN(), gl2psAddBoundaryInList(), gsl_poly_complex_solve_cubic(), gsl_poly_complex_solve_quartic(), RooDataHist::importDHistSet(), ROOT::Math::Cephes::incbet(), ROOT::Math::KDTree< _DataPoint >::BinNode::Insert(), ROOT::Math::KDTree< _DataPoint >::TerminalNode::Insert(), ROOT::Math::Vavilov::Kurtosis(), RooKeysPdf::LoadDataSet(), ROOT::Minuit2::mnbins(), ROOT::Math::moments(), myfunc(), myfunc2(), ROOT::Math::myRound(), ROOT::Math::noncentral_chisquared_pdf(), RooHistError::PoissonSum::operator()(), RooHistError::BinomialSumAsym::operator()(), RooHistError::BinomialSumEff::operator()(), TGraphPolargram::PaintPolarDivisions(), RooStats::HistFactory::FlexibleInterpVar::PolyInterpValue(), TMath::Power(), ROOT::Math::Cephes::pseries(), ROOT::Math::GoFTest::PValueAD1Sample(), RooStats::HypoTestInverterOriginal::RunAutoScan(), TKDE::SetKernel(), TKDE::SetKernelSigmas2(), TKDE::SetSigma(), TKDE::SetUserCanonicalBandwidth(), ROOT::Math::Vavilov::Skewness(), ROOT::Math::KDTree< _DataPoint >::TerminalNode::Split(), ROOT::Math::KDTree< _DataPoint >::TerminalNode::SplitEffectiveEntries(), ROOT::Math::Cephes::stirf(), ROOT::Math::tdistribution_pdf(), ROOT::Math::KDTree< _DataPoint >::TerminalNode::TerminalNode(), testProduct(), TestSpeed(), ROOT::ToHumanReadableSize(), and RooXYChi2Var::xErrorContribution().
Referenced by RooSpHarmonic::analyticalIntegral(), RooTruthModel::analyticalIntegral(), ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), TMath::BesselJ0(), TMath::BesselJ1(), TMath::BesselY0(), TMath::BesselY1(), TCurlyArc::Build(), ROOT::Math::Cartesian2D< T >::Cartesian2D(), ROOT::Math::Cartesian3D< Double32_t >::Cartesian3D(), ROOT::Math::VavilovAccurate::Cdf(), ROOT::Math::VavilovAccurate::Cdf_c(), faddeeva_impl::cexp(), city_distance(), ClassImp(), ROOT::Math::gv_detail::convert(), ROOT::Math::cosint(), ROOT::Math::KelvinFunctions::DBer(), TGeoHype::DistFromOutside(), ROOT::Math::KelvinFunctions::DKer(), dpStep1(), RooSpHarmonic::evaluate(), RooTruthModel::evaluate(), RooComplex::exp(), foo0(), foo1(), fooLib2(), fooLib3(), for(), fu(), func(), Functions(), ROOT::Math::KelvinFunctions::G1(), ROOT::Math::KelvinFunctions::G2(), ROOT::Math::Cephes::gamma(), ROOT::Math::RandomFunctionsImpl< TRandomEngine >::GausBM(), RooBCPEffDecay::generateEvent(), RooBCPGenDecay::generateEvent(), RooBDecay::generateEvent(), RooNonCPEigenDecay::generateEvent(), ROOT::Minuit2::SinParameterTransformation::Int2ext(), ROOT::Math::SinVariableTransformation::Int2ext(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::Cephes::lgam(), RooBlindTools::MakeGaussianOffset(), name(), ROOT::Math::AxisAngle::operator*(), ROOT::Math::Cartesian2D< T >::operator=(), ROOT::Math::Cartesian3D< Double32_t >::operator=(), TSpectrum2Painter::Paint(), TFileInfo::ParseInput(), ROOT::Math::VavilovAccurate::Pdf(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Py(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Py(), ROOT::Math::RotationX::Rectify(), ROOT::Math::RotationY::Rectify(), ROOT::Math::RotationZ::Rectify(), ROOT::Math::Polar3D< T >::Rho(), RooEllipse::RooEllipse(), ROOT::Math::Cartesian2D< T >::Rotate(), TEveTrans::RotateLF(), TGLMatrix::RotateLF(), TEveTrans::RotatePF(), TGLMatrix::RotatePF(), ROOT::Math::VectorUtil::RotateX(), ROOT::Math::VectorUtil::RotateY(), ROOT::Math::VectorUtil::RotateZ(), rxv(), ryv(), rzv(), ROOT::Math::VavilovAccurate::Set(), set_ports_option(), ROOT::Math::RotationX::SetAngle(), ROOT::Math::RotationY::SetAngle(), ROOT::Math::RotationZ::SetAngle(), TQuaternion::SetAxisQAngle(), TQuaternion::SetQAngle(), TTF::SetRotationMatrix(), ROOT::Vc::Scalar::sin(), TMath::Sin(), ROOT::Vc::Scalar::sincos(), ROOT::Math::sinint(), RooComplex::sqrt(), testInterpolation(), testSin(), testSincos(), TGSpeedo::Translate(), ROOT::Math::Polar2D< T >::Y(), ROOT::Math::Polar3D< T >::Y(), ROOT::Math::Cylindrical3D< T >::Y(), and ROOT::Math::CylindricalEta3D< T >::Y().
Referenced by RooComplex::abs(), TMath::ACosH(), RooHist::addAsymmetryBinWithError(), RooStats::NumberCountingPdfFactory::AddData(), RooStats::NumberCountingPdfFactory::AddDataWithSideband(), RooHist::addEfficiencyBinWithError(), TEfficiency::AgrestiCoull(), AnalyticalIntegral(), RooLognormal::analyticalIntegral(), RooBifurGauss::analyticalIntegral(), RooGaussian::analyticalIntegral(), RooArgusBG::analyticalIntegral(), RooMultiVarGaussian::analyticalIntegral(), RooGaussModel::analyticalIntegral(), RooGExpModel::analyticalIntegral(), RooNDKeysPdf::analyticalIntegral(), ROOT::Math::Sqrt< T >::apply(), RooMinimizerFcn::ApplyCovarianceMatrix(), RooMinuit::applyCovarianceMatrix(), ROOT::Fit::Fitter::ApplyWeightCorrection(), TMath::ASinH(), TMath::BesselI(), TMath::BesselI1(), TMath::BesselJ0(), TMath::BesselJ1(), TMath::BesselK0(), TMath::BesselK1(), TMath::BesselY0(), TMath::BesselY1(), ROOT::Math::bigaussian_pdf(), ROOT::Math::VectorUtil::boost(), ROOT::Math::VectorUtil::boostX(), ROOT::Math::VectorUtil::boostY(), ROOT::Math::VectorUtil::boostZ(), Rgl::Mc::TMeshBuilder< DataSource, ValueType >::BuildNormals(), RooCurve::calcBandInterval(), TMVA::DataSetFactory::CalcCorrelationMatrix(), RooGExpModel::calcDecayConv(), TMVA::RuleEnsemble::CalcRuleSupport(), RooGExpModel::calcSinConv(), RooGExpModel::calcSinConvNorm(), Roo2DKeysPdf::calculateBandWidth(), RooNDKeysPdf::calculateBandWidth(), ClassImp(), TSpectrum2Painter::ColorCalculation(), ComputeAdaptiveWeights(), ROOT::Math::gv_detail::convert(), coordinates4D(), RooAbsData::corrcov(), RooAbsData::corrcovMatrix(), ROOT::Minuit2::Minuit2Minimizer::Correlation(), ROOT::Fit::FitResult::Correlation(), ROOT::Math::Minimizer::Correlation(), ROOT::Math::VectorUtil::CosTheta(), TGDMLWrite::CreateFakeCtub(), Baker::createImage(), ROOT::Math::crystalball_cdf(), ROOT::Math::crystalball_cdf_c(), ROOT::Math::crystalball_integral(), ROOT::Math::crystalball_pdf(), ROOT::Minuit2::HessianGradientCalculator::DeltaGradient(), ROOT::Math::VectorUtil::DeltaR(), ROOT::Minuit2::SqrtLowParameterTransformation::DInt2Ext(), ROOT::Minuit2::SqrtUpParameterTransformation::DInt2Ext(), ROOT::Math::SqrtLowVariableTransformation::DInt2Ext(), ROOT::Math::SqrtUpVariableTransformation::DInt2Ext(), ROOT::Math::GSLSimAnFunc::Distance(), TAttLine::DistancetoLine(), TGraphAsymmErrors::Divide(), ROOT::Math::MultiNumGradFunction::DoDerivative(), DoNewMinimization(), DoOldMinimization(), doTestL(), doTestLA(), RooStats::LikelihoodIntervalPlot::Draw(), ROOT::Math::PxPyPzM4D< ScalarType >::E(), ROOT::Math::PtEtaPhiM4D< ScalarType >::E(), TLorentzVector::Et(), ROOT::Math::PxPyPzE4D< Double32_t >::Et(), ROOT::Math::PxPyPzM4D< ScalarType >::Et(), ROOT::Math::Impl::Eta_FromRhoZ(), RooGaussModel::evalCerfApprox(), RooGExpModel::evalCerfApprox(), TMultiDimFit::EvalError(), TRolke::EvalLikeMod4(), RooJeffreysPrior::evaluate(), RooSecondMoment::evaluate(), RooVoigtian::evaluate(), RooGaussModel::evaluate(), RooBukinPdf::evaluate(), RooGExpModel::evaluate(), ROOT::Minuit2::FumiliStandardMaximumLikelihoodFCN::EvaluateAll(), ROOT::Fit::FitUtil::EvaluateChi2(), ROOT::Fit::FitUtil::EvaluateChi2Residual(), ROOT::Fit::FitUtil::EvaluateLogLGradient(), RooChi2Var::evaluatePartition(), ROOT::Fit::FitUtil::EvaluatePoissonBinPdf(), ROOT::Fit::FitUtil::EvaluatePoissonLogLGradient(), ExactResult(), TFoam::Explore(), TMVA::PDEFoam::Explore(), ROOT::Minuit2::SinParameterTransformation::Ext2int(), ROOT::Minuit2::SqrtLowParameterTransformation::Ext2int(), ROOT::Math::SinVariableTransformation::Ext2int(), ROOT::Minuit2::SqrtUpParameterTransformation::Ext2int(), ROOT::Math::SqrtLowVariableTransformation::Ext2int(), ROOT::Math::SqrtUpVariableTransformation::Ext2int(), vdt::fast_asin(), TKDTreeBinning::FillBinData(), RooAbsData::fillHistogram(), RooAbsReal::fillHistogram(), ROOT::Minuit2::MnMinos::FindCrossValue(), RooIntegralMorph::MorphCacheElem::findRange(), ROOT::Minuit2::FumiliStandardChi2FCN::FumiliStandardChi2FCN(), RooKeysPdf::g(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Gamma(), gaus2d(), gaus3d(), ROOT::Math::RandomFunctionsImpl< TRandomEngine >::GausBM(), gausnorm(), ROOT::Minuit2::GaussDataGen::GaussDataGen(), ROOT::Math::gaussian_pdf(), GaussPdf(), TGenPhaseSpace::Generate(), generate(), RooAbsPdf::generateBinned(), RooBDecay::generateEvent(), RooNonCPEigenDecay::generateEvent(), genMatrix(), genPoisson(), genPoisson2(), RooTreeDataStore::get(), RooVectorDataStore::get(), RooMultiVarGaussian::getAnalyticalIntegral(), TMapFile::GetBestBuffer(), TFile::GetBestBuffer(), RooHistError::getBinomialIntervalAsym(), RooHistError::getBinomialIntervalEff(), ROOT::THistStatEntries< DIMENSIONS, PRECISION >::GetBinUncertainties(), ROOT::Fit::FitResult::GetConfidenceIntervals(), ROOT::Fit::FitResult::GetCorrelationMatrix(), TEfficiency::GetEfficiencyErrorLow(), TEfficiency::GetEfficiencyErrorUp(), TKDE::GetError(), TMVA::MethodPDERS::GetError(), ROOT::Minuit2::GaussianModelFunction::GetGradient(), RooStats::AsymptoticCalculator::GetHypoTest(), TFoam::GetIntegMC(), RooHistError::getInterval(), TMVA::MethodBase::GetMaximumSignificance(), TMVA::MethodMLP::GetMvaValue(), RooVectorDataStore::getNative(), RooHistError::getPoissonIntervalCalc(), RooAbsReal::getPropagatedError(), TKDE::GetRAMISE(), TMVA::MethodBase::GetRegressionDeviation(), TMVA::MethodKNN::getRMS(), TMVA::MethodBase::GetSignificance(), TFoam::GetWtParams(), gl2psGetPlaneFromPoints(), gl2psNorm(), gl2psRescaleAndOffset(), gsl_poly_complex_solve_cubic(), gsl_poly_complex_solve_quartic(), RooStats::HybridPlot::HybridPlot(), ROOT::Math::Cephes::igami(), ROOT::Math::Cephes::incbi(), ROOT::Minuit2::GaussFcn2::Init(), ROOT::Fit::Init2DGaus(), TMVA::MethodRuleFit::InitEventSample(), ROOT::Fit::InitGaus(), RooSegmentedIntegrator1D::initialize(), RooNDKeysPdf::initialize(), ROOT::Minuit2::SqrtLowParameterTransformation::Int2ext(), ROOT::Minuit2::SqrtUpParameterTransformation::Int2ext(), ROOT::Math::SqrtLowVariableTransformation::Int2ext(), ROOT::Math::SqrtUpVariableTransformation::Int2ext(), RooStats::SamplingDistribution::IntegralAndError(), ROOT::TF1Helper::IntegralError(), ROOT::Math::VectorUtil::InvariantMass(), TFumili::InvertZ(), vdt::isqrt(), isqrt(), vdt::isqrtf(), isqrtf(), ROOT::Math::landau_cdf(), ROOT::Math::landau_pdf(), ROOT::Math::Lmag(), Roo2DKeysPdf::loadDataSet(), RooKeysPdf::LoadDataSet(), RooNDKeysPdf::loadDataSet(), ROOT::Math::lognormal_pdf(), ROOT::Math::PxPyPzE4D< Double32_t >::M(), ROOT::Math::PtEtaPhiE4D< ScalarType >::M(), ROOT::Math::Mag(), TGLVector3::Mag(), main(), RooBlindTools::MakeGaussianOffset(), matrixOperations_do(), RooAbsData::meanVar(), ROOT::Math::GSLMinimizer::Minimize(), ROOT::Math::GSLNLSMinimizer::Minimize(), ROOT::Minuit2::ScanBuilder::Minimum(), ROOT::Minuit2::SimplexBuilder::Minimum(), ROOT::Minuit2::mneigen(), ROOT::Minuit2::MnGlobalCorrelationCoeff::MnGlobalCorrelationCoeff(), ROOT::Minuit2::MnMachinePrecision::MnMachinePrecision(), ROOT::Minuit2::MnUserParameterState::MnUserParameterState(), ROOT::Minuit2::mnvert(), ROOT::Math::PxPyPzE4D< Double32_t >::Mt(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Mt(), ROOT::Math::PxPyPzM4D< ScalarType >::Mt(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Mt(), ROOT::Math::Cephes::ndtri(), TMath::NextPrime(), ROOT::Math::noncentral_chisquared_pdf(), TEfficiency::Normal(), ROOT::Math::normal_pdf(), TGLPlane::Normalise(), ROOT::Math::Plane3D::Normalize(), ROOT::Fit::FitResult::NormalizeErrors(), TGeoToOCC::OCC_Hype(), ROOT::Minuit2::GaussFunction::operator()(), ROOT::Minuit2::MnPosDef::operator()(), ROOT::Minuit2::GaussRandomGen::operator()(), ROOT::Minuit2::MnFunctionCross::operator()(), ROOT::Minuit2::Numerical2PGradientCalculator::operator()(), ROOT::Minuit2::MnHesse::operator()(), ROOT::Minuit2::GaussianModelFunction::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposerGenDim< F, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 6, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 5, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 4, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 3, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 2, M >::operator()(), ROOT::Math::CholeskyDecompHelpers::_decomposer< F, 1, M >::operator()(), ROOT::Math::AxisAngle::operator*(), ROOT::Minuit2::operator<<(), TGLBoundingBox::Overlap(), ROOT::Math::PxPyPzE4D< Double32_t >::P(), ROOT::Math::PxPyPzM4D< ScalarType >::P(), TSpectrum2Painter::Paint(), TGraphPainter::PaintGraphPolar(), parsecommandline(), performance(), ROOT::Math::VectorUtil::Perp(), piRandom(), RooAbsReal::plotOnWithErrorBand(), printStats(), RooDLLSignificanceMCSModule::processAfterFit(), TMVA::MethodRuleFit::ProcessOptions(), ROOT::Math::PxPyPzE4D< Double32_t >::Pt(), ROOT::Math::PxPyPzM4D< ScalarType >::Pt(), quality_statistics(), ROOT::Math::Cartesian2D< T >::R(), ROOT::Math::Cartesian3D< Double32_t >::R(), ROOT::Math::Cylindrical3D< T >::R(), RooFitResult::randomizePars(), read(), ROOT::Math::Quaternion::Rectify(), ROOT::Math::LorentzRotation::Rectify(), ROOT::Math::Rotation3D::Rectify(), TMVA::regression_averagedevs(), ROOT::Math::Cartesian3D< Double32_t >::Rho(), RooAbsData::rmsVar(), RooBukinPdf::RooBukinPdf(), RooEllipse::RooEllipse(), RooHist::RooHist(), RooVoigtian::RooVoigtian(), ROOT::Vc::Scalar::rsqrt(), TMVA::Rule::RuleDist(), ROOT::Math::VavilovAccurate::Rzero(), TFoamSampler::SampleBin(), TUnuranSampler::SampleBin(), TStructViewerGUI::Scale(), TSpectrum3::SearchFast(), ROOT::Math::BoostX::SetComponents(), ROOT::Math::BoostY::SetComponents(), ROOT::Math::BoostZ::SetComponents(), ROOT::Math::Boost::SetComponents(), RooFitResult::setCovarianceMatrix(), ROOT::Math::VavilovFast::SetKappaBeta2(), TKDE::SetKernel(), ROOT::Minuit2::MnMachinePrecision::SetPrecision(), TKDE::SetSigma(), RooAbsData::sigma(), singularFunction(), TH2::Smooth(), Rgl::Mc::TF3EdgeSplitter::SplitEdge(), ROOT::Vc::Scalar::sqrt(), TMath::Sqrt(), ROOT::Vc::AVX::sqrt(), ROOT::Vc::SSE::sqrt(), ROOT::Math::tdistribution_pdf(), test12(), test3D(), test4D(), testDerivation(), testDummy(), testIntegration(), testkdTreeBinning(), testRandomDist(), testRSqrt(), testSphere(), testSqrt(), testTStatistic(), testVectorUtil(), TSpectrum2Painter::Transform(), TMVA::StatDialogMVAEffs::UpdateSignificanceHists(), TFoam::Varedu(), TMVA::PDEFoam::Varedu(), RooMCIntegrator::vegas(), RooDataHist::weightError(), TEfficiency::Wilson(), write(), writeTrack(), ROOT::Minuit2::MnParabola::X_neg(), and ROOT::Minuit2::MnParabola::X_pos().
Referenced by ClassImp(), and TMath::TanH().
ROOT 6.06/09 - Reference Guide Generated on Sun Dec 10 2017 22:27:21 using Doxygen 1.8.9.