MathFuncs.h File Reference

#include <TMath.h>
#include <Math/PdfFuncMathCore.h>
#include <Math/ProbFuncMathCore.h>
#include <algorithm>
#include <cmath>
#include <stdexcept>

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Namespaces
namespace	clad
namespace	clad::custom_derivatives
namespace	clad::custom_derivatives::RooFit
namespace	clad::custom_derivatives::RooFit::Detail
namespace	clad::custom_derivatives::RooFit::Detail::MathFuncs
namespace	RooFit
	The namespace RooFit contains mostly switches that change the behaviour of functions of PDFs (or other types of arguments).
namespace	RooFit::Detail
namespace	RooFit::Detail::MathFuncs

Functions
double	RooFit::Detail::MathFuncs::approxErf (double arg)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::bernstein (double x, double xmin, double xmax, DoubleArray coefs, int nCoefs)
	The caller needs to make sure that there is at least one coefficient.
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::bernsteinIntegral (double xlo, double xhi, double xmin, double xmax, DoubleArray coefs, int nCoefs)
double	RooFit::Detail::MathFuncs::bifurGauss (double x, double mean, double sigmaL, double sigmaR)
double	RooFit::Detail::MathFuncs::bifurGaussIntegral (double xMin, double xMax, double mean, double sigmaL, double sigmaR)
template<typename DoubleArray >
unsigned int	RooFit::Detail::MathFuncs::binNumber (double x, double coef, DoubleArray boundaries, unsigned int nBoundaries, int nbins, int blo)
template<class... Types>
void	clad::custom_derivatives::RooFit::Detail::MathFuncs::binNumber_pullback (Types...)
double	RooFit::Detail::MathFuncs::binomial (int n, int k)
	Calculates the binomial coefficient n over k.
double	RooFit::Detail::MathFuncs::cbShape (double m, double m0, double sigma, double alpha, double n)
double	RooFit::Detail::MathFuncs::cbShapeIntegral (double mMin, double mMax, double m0, double sigma, double alpha, double n)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::chebychev (DoubleArray coeffs, unsigned int nCoeffs, double x_in, double xMin, double xMax)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::chebychevIntegral (DoubleArray coeffs, unsigned int nCoeffs, double xMin, double xMax, double xMinFull, double xMaxFull)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::constraintSum (DoubleArray comp, unsigned int compSize)
double	RooFit::Detail::MathFuncs::efficiency (double effFuncVal, int catIndex, int sigCatIndex)
double	RooFit::Detail::MathFuncs::effProd (double eff, double pdf)
double	RooFit::Detail::MathFuncs::exponentialIntegral (double xMin, double xMax, double constant)
double	RooFit::Detail::MathFuncs::fast_fma (double x, double y, double z) noexcept
	use fast FMA if available, fall back to normal arithmetic if not
template<typename ParamsArray , typename DoubleArray >
double	RooFit::Detail::MathFuncs::flexibleInterp (unsigned int code, ParamsArray params, unsigned int n, DoubleArray low, DoubleArray high, double boundary, double nominal, int doCutoff)
double	RooFit::Detail::MathFuncs::flexibleInterpSingle (unsigned int code, double low, double high, double boundary, double nominal, double paramVal, double res)
double	RooFit::Detail::MathFuncs::gaussian (double x, double mean, double sigma)
	Function to evaluate an un-normalized RooGaussian.
double	RooFit::Detail::MathFuncs::gaussianIntegral (double xMin, double xMax, double mean, double sigma)
	Function to calculate the integral of an un-normalized RooGaussian over x.
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::interpolate1d (double low, double high, double val, unsigned int numBins, DoubleArray vals)
double	RooFit::Detail::MathFuncs::landau (double x, double mu, double sigma)
double	RooFit::Detail::MathFuncs::logNormal (double x, double k, double m0)
double	RooFit::Detail::MathFuncs::logNormalIntegral (double xMin, double xMax, double m0, double k)
double	RooFit::Detail::MathFuncs::logNormalIntegralStandard (double xMin, double xMax, double mu, double sigma)
double	RooFit::Detail::MathFuncs::logNormalStandard (double x, double sigma, double mu)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::multipdf (int idx, DoubleArray pdfs)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::multiVarGaussian (int n, DoubleArray x, DoubleArray mu, DoubleArray covI)
double	RooFit::Detail::MathFuncs::nll (double pdf, double weight, int binnedL, int doBinOffset)
double	RooFit::Detail::MathFuncs::poisson (double x, double par)
double	RooFit::Detail::MathFuncs::poissonIntegral (int code, double mu, double x, double integrandMin, double integrandMax, unsigned int protectNegative)
template<bool pdfMode = false, typename DoubleArray >
double	RooFit::Detail::MathFuncs::polynomial (DoubleArray coeffs, int nCoeffs, int lowestOrder, double x)
	In pdfMode, a coefficient for the constant term of 1.0 is implied if lowestOrder > 0.
template<bool pdfMode = false, typename DoubleArray >
double	RooFit::Detail::MathFuncs::polynomialIntegral (DoubleArray coeffs, int nCoeffs, int lowestOrder, double xMin, double xMax)
	In pdfMode, a coefficient for the constant term of 1.0 is implied if lowestOrder > 0.
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::product (DoubleArray factors, std::size_t nFactors)
double	RooFit::Detail::MathFuncs::ratio (double numerator, double denominator)
template<typename DoubleArray >
unsigned int	RooFit::Detail::MathFuncs::rawBinNumber (double x, DoubleArray boundaries, std::size_t nBoundaries)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::recursiveFraction (DoubleArray a, unsigned int n)
template<typename DoubleArray >
double	RooFit::Detail::MathFuncs::stepFunctionIntegral (double xmin, double xmax, std::size_t nBins, DoubleArray boundaries, DoubleArray coefs)
unsigned int	RooFit::Detail::MathFuncs::uniformBinNumber (double low, double high, double val, unsigned int numBins, double coef)