thermalfist::xMath Namespace Reference

Contains some extra mathematical functions used in the code. More...

Functions
double	Pi ()
	Pi constant. More...
double	GeVtoifm ()
	A constant to transform GeV into fm \(^{-1}\). More...
double	GeVtoifm2 ()
	A constant to transform GeV \(^{2}\) into fm \(^{-2}\). More...
double	GeVtoifm3 ()
	A constant to transform GeV \(^{3}\) into fm \(^{-3}\). More...
double	mnucleon ()
	Nucleon's mass. Value as in UrQMD. More...
double	mpion ()
	Pion's mass. Value as in UrQMD. More...
double	BesselI (int n, double x)
	integer order modified Bessel function I_n(x) More...
double	BesselK (int n, double x)
	integer order modified Bessel function K_n(x) More...
double	BesselI0 (double x)
	modified Bessel function I_0(x) More...
double	BesselK0 (double x)
	modified Bessel function K_0(x) More...
double	BesselI1 (double x)
	modified Bessel function I_1(x) More...
double	BesselK1 (double x)
	modified Bessel function K_1(x) More...
double	BesselJ0 (double x)
	Bessel function J0(x) for any real x. More...
double	BesselJ1 (double x)
	Bessel function J1(x) for any real x. More...
double	BesselY0 (double x)
	Bessel function Y0(x) for positive x. More...
double	BesselY1 (double x)
	Bessel function Y1(x) for positive x. More...
double	StruveH0 (double x)
	Struve functions of order 0. More...
double	StruveH1 (double x)
	Struve functions of order 1. More...
double	StruveL0 (double x)
	Modified Struve functions of order 0. More...
double	StruveL1 (double x)
	Modified Struve functions of order 1. More...
double	BesselK0exp (double x)
double	BesselK1exp (double x)
double	BesselKexp (int n, double x)
double	BesselI0exp (double x)
double	BesselI1exp (double x)
double	BesselIexp (int n, double x)
double	LogGamma (double)
double	Gamma (double)

Detailed Description

Contains some extra mathematical functions used in the code.

Function Documentation

double thermalfist::xMath::BesselI	(	int	n,
		double	x
	)

integer order modified Bessel function I_n(x)

Bessel and related special functions. Implementation of these special functions is adapted from the CERN-ROOT package: https://root.cern.ch/

Definition at line 191 of file xMath.cpp.

double thermalfist::xMath::BesselI0

(

double

x

)

modified Bessel function I_0(x)

Definition at line 23 of file xMath.cpp.

double thermalfist::xMath::BesselI0exp

(

double

x

)

Definition at line 727 of file xMath.cpp.

double thermalfist::xMath::BesselI1

(

double

x

)

modified Bessel function I_1(x)

Definition at line 90 of file xMath.cpp.

double thermalfist::xMath::BesselI1exp

(

double

x

)

Definition at line 759 of file xMath.cpp.

double thermalfist::xMath::BesselIexp	(	int	n,
		double	x
	)

Definition at line 795 of file xMath.cpp.

double thermalfist::xMath::BesselJ0

(

double

x

)

Bessel function J0(x) for any real x.

Definition at line 239 of file xMath.cpp.

double thermalfist::xMath::BesselJ1

(

double

x

)

Bessel function J1(x) for any real x.

Definition at line 275 of file xMath.cpp.

double thermalfist::xMath::BesselK	(	int	n,
		double	x
	)

integer order modified Bessel function K_n(x)

Definition at line 161 of file xMath.cpp.

double thermalfist::xMath::BesselK0

(

double

x

)

modified Bessel function K_0(x)

Definition at line 55 of file xMath.cpp.

double thermalfist::xMath::BesselK0exp

(

double

x

)

Definition at line 627 of file xMath.cpp.

double thermalfist::xMath::BesselK1

(

double

x

)

modified Bessel function K_1(x)

Definition at line 126 of file xMath.cpp.

double thermalfist::xMath::BesselK1exp

(

double

x

)

Definition at line 662 of file xMath.cpp.

double thermalfist::xMath::BesselKexp	(	int	n,
		double	x
	)

Definition at line 697 of file xMath.cpp.

double thermalfist::xMath::BesselY0

(

double

x

)

Bessel function Y0(x) for positive x.

Definition at line 312 of file xMath.cpp.

double thermalfist::xMath::BesselY1

(

double

x

)

Bessel function Y1(x) for positive x.

Definition at line 347 of file xMath.cpp.

double thermalfist::xMath::Gamma

(

double

x

)

Definition at line 844 of file xMath.cpp.

double thermalfist::xMath::GeVtoifm ( )

inline

A constant to transform GeV into fm \(^{-1}\).

Examples:

cpc1-HRG-TDep.cpp, and cpc4-mcHRG.cpp.

Definition at line 27 of file xMath.h.

double thermalfist::xMath::GeVtoifm2 ( )

inline

A constant to transform GeV \(^{2}\) into fm \(^{-2}\).

Definition at line 30 of file xMath.h.

double thermalfist::xMath::GeVtoifm3 ( )

inline

A constant to transform GeV \(^{3}\) into fm \(^{-3}\).

Definition at line 33 of file xMath.h.

double thermalfist::xMath::LogGamma

(

double

x

)

Definition at line 964 of file xMath.cpp.

double thermalfist::xMath::mnucleon ( )

inline

Nucleon's mass. Value as in UrQMD.

Examples:

BagModelFit.cpp.

Definition at line 36 of file xMath.h.

double thermalfist::xMath::mpion ( )

inline

Pion's mass. Value as in UrQMD.

Definition at line 39 of file xMath.h.

double thermalfist::xMath::Pi ( )

inline

Pi constant.

Definition at line 24 of file xMath.h.

double thermalfist::xMath::StruveH0

(

double

x

)

Struve functions of order 0.

Definition at line 384 of file xMath.cpp.

double thermalfist::xMath::StruveH1

(

double

x

)

Struve functions of order 1.

Definition at line 454 of file xMath.cpp.

double thermalfist::xMath::StruveL0

(

double

x

)

Modified Struve functions of order 0.

Definition at line 535 of file xMath.cpp.

double thermalfist::xMath::StruveL1

(

double

x

)

Modified Struve functions of order 1.

Definition at line 582 of file xMath.cpp.