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.

Classes
struct	JMATH::roots_type
	Auxiliary data structure for solution of quadratic equation. More...

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.
roots_type	JMATH::roots (double a, double b, double c, const double precision)
	Solution to quadratic equiation .

Detailed Description

Auxiliary methods for mathematics.

Author

mdejong

Definition in file JMath/JMathSupportkit.hh.