JMathSupportkit.hh File Reference

Auxiliary methods for mathematics. More...

#include <limits>
#include <cmath>
#include "JMath/JConstants.hh"
#include "JLang/JException.hh"

Go to the source code of this file.

Namespaces
namespace	JMATH
namespace	JPP
	This name space includes all other name spaces (except KM3NETDAQ, KM3NET and ANTARES).

Functions
long long int	JMATH::factorial (const long long int n)
	Determine factorial.
long long int	JMATH::factorial (const long long int n, const long long int m)
	Determine combinatorics.
double	JMATH::gauss (const double x, const double sigma)
	Gauss function (normalised to 1 at x = 0).
double	JMATH::gauss (const double x, const double x0, const double sigma)
	Gauss function (normalised to 1 at x = x0).
double	JMATH::Gauss (const double x, const double sigma)
	Normalised Gauss function.
double	JMATH::Gauss (const double x, const double x0, const double sigma)
	Normalised Gauss function.
double	JMATH::Gamma (const double a, const double x)
	Incomplete gamma function.
double	JMATH::legendre (const size_t n, const double x)
	Legendre polynome.
double	JMATH::binomial (const size_t n, const size_t k)
	Binomial function.
double	JMATH::poisson (const size_t n, const double mu)
	Poisson probability density distribution.
double	JMATH::Poisson (const size_t n, const double mu)
	Poisson cumulative density distribution.
double	JMATH::getP (const double stdev)
	Get single-sided Gaussian probability for given number of standard deviations.
size_t	JMATH::getNs (const double background, const double P)
	Get minimal number of events to exceed Poisson probability given number of background events.
double	JMATH::getFs (const double background, const double P, const double precision)
	Get minimal number of events to exceed Poisson probability given number of background events.
size_t	JMATH::getMinimumVarianceUnbiasedEstimator (const size_t m, const size_t k)
	Get estimate of maximum number.
size_t	JMATH::getMinimumVarianceUnbiasedEstimator (const size_t m, const size_t k, const size_t start)
	Get estimate of maximum number.
size_t	JMATH::getBayesianMedian (const size_t m, const size_t k)
	Get estimate of maximum number.
size_t	JMATH::getBayesianMedian (const size_t m, const size_t k, const size_t start)
	Get estimate of maximum number.
size_t	JMATH::getBayesianMean (const size_t m, const size_t k)
	Get estimate of maximum number.
size_t	JMATH::getBayesianMean (const size_t m, const size_t k, const size_t start)
	Get estimate of maximum number.

Detailed Description

Auxiliary methods for mathematics.

Author

mdejong

Definition in file JMath/JMathSupportkit.hh.