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G4INCL::Math Namespace Reference

Functions

G4double toDegrees (G4double radians)
 
G4int heaviside (G4int n)
 
G4double pow13 (G4double x)
 
G4double powMinus13 (G4double x)
 
G4double pow23 (G4double x)
 
G4double aSinH (G4double x)
 
template<typename T >
G4int sign (const T t)
 
template<typename T >
T max (const T t1, const T t2)
 brief Return the largest of the two arguments
 
template<typename T >
T min (const T t1, const T t2)
 brief Return the smallest of the two arguments
 
G4double gaussianCDF (const G4double x)
 Cumulative distribution function for Gaussian.
 
G4double gaussianCDF (const G4double x, const G4double x0, const G4double sigma)
 Generic cumulative distribution function for Gaussian.
 
G4double inverseGaussianCDF (const G4double x)
 Inverse cumulative distribution function for Gaussian.
 
G4double arcSin (const G4double x)
 Calculates arcsin with some tolerance on illegal arguments.
 
G4double arcCos (const G4double x)
 Calculates arccos with some tolerance on illegal arguments.
 

Variables

const G4double pi = 3.14159265358979323846264338328
 
const G4double twoPi = 2.0 * pi
 
const G4double tenPi = 10.0 * pi
 
const G4double piOverTwo = 0.5 * pi
 
const G4double oneOverSqrtTwo = 1./std::sqrt((G4double)2.)
 
const G4double oneOverSqrtThree = 1./std::sqrt((G4double)3.)
 
const G4double oneThird = 1./3.
 
const G4double twoThirds = 2./3.
 
const G4double sqrtFiveThirds = std::sqrt(5./3.)
 
const G4double sqrtThreeFifths = std::sqrt(3./5.)
 

Function Documentation

G4double G4INCL::Math::arcCos ( const G4double  x)

Calculates arccos with some tolerance on illegal arguments.

Definition at line 103 of file G4INCLGlobals.cc.

View newest version in sPHENIX GitHub at line 103 of file G4INCLGlobals.cc

References pi.

Referenced by G4INCL::CoulombNonRelativistic::coulombDeviation(), G4INCL::CoulombNonRelativistic::distortOut(), G4INCL::EventInfo::fillInverseKinematics(), G4INCL::SurfaceAvatar::getTransmissionProbability(), and G4INCL::EventInfo::remnantToParticle().

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G4double G4INCL::Math::arcSin ( const G4double  x)

Calculates arcsin with some tolerance on illegal arguments.

Definition at line 98 of file G4INCLGlobals.cc.

View newest version in sPHENIX GitHub at line 98 of file G4INCLGlobals.cc

References pi.

G4double G4INCL::Math::aSinH ( G4double  x)
inline

Definition at line 100 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 100 of file G4INCLGlobals.hh

G4double G4INCL::Math::gaussianCDF ( const G4double  x)

Cumulative distribution function for Gaussian.

A public-domain approximation taken from Abramowitz and Stegun. Applies to a Gaussian with mean=0 and sigma=1.

Parameters
xa Gaussian variable

Definition at line 74 of file G4INCLGlobals.cc.

View newest version in sPHENIX GitHub at line 74 of file G4INCLGlobals.cc

References oneOverSqrtTwo, sign(), t, y, and z.

Referenced by G4INCL::Random::correlatedUniform(), and gaussianCDF().

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G4double G4INCL::Math::gaussianCDF ( const G4double  x,
const G4double  x0,
const G4double  sigma 
)

Generic cumulative distribution function for Gaussian.

A public-domain approximation taken from Abramowitz and Stegun. Applies to a generic Gaussian.

Parameters
xa Gaussian variable
x0mean of the Gaussian
sigmastandard deviation of the Gaussian

Definition at line 87 of file G4INCLGlobals.cc.

View newest version in sPHENIX GitHub at line 87 of file G4INCLGlobals.cc

References gaussianCDF().

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G4int G4INCL::Math::heaviside ( G4int  n)
inline

Definition at line 83 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 83 of file G4INCLGlobals.hh

Referenced by G4INCL::Nucleus::insertParticle().

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G4double G4INCL::Math::inverseGaussianCDF ( const G4double  x)

Inverse cumulative distribution function for Gaussian.

A public-domain approximation taken from Abramowitz and Stegun. Applies to a Gaussian with mean=0 and sigma=1.

Parameters
xa uniform variate
Returns
a Gaussian variate

Definition at line 91 of file G4INCLGlobals.cc.

View newest version in sPHENIX GitHub at line 91 of file G4INCLGlobals.cc

template<typename T >
T G4INCL::Math::max ( const T  t1,
const T  t2 
)
inline

brief Return the largest of the two arguments

Definition at line 112 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 112 of file G4INCLGlobals.hh

References t2.

Referenced by G4INCL::ParticleTable::getLargestNuclearRadius().

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template<typename T >
T G4INCL::Math::min ( const T  t1,
const T  t2 
)
inline

brief Return the smallest of the two arguments

Definition at line 117 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 117 of file G4INCLGlobals.hh

References t2.

G4double G4INCL::Math::pow13 ( G4double  x)
inline

Definition at line 88 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 88 of file G4INCLGlobals.hh

References oneThird.

Referenced by G4INCL::NuclearDensityFactory::createRPCorrelationTable(), G4INCL::CoulombNonRelativistic::getCoulombRadius(), G4INCL::NuclearPotential::NuclearPotentialIsospin::initialize(), G4INCL::NuclearPotential::INuclearPotential::INuclearPotential(), G4INCL::ParticleSampler::sampleOneParticleWithFuzzyRPCorrelation(), and G4INCL::Random::sphereVector().

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G4double G4INCL::Math::pow23 ( G4double  x)
inline

Definition at line 96 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 96 of file G4INCLGlobals.hh

References twoThirds.

Referenced by G4INCL::CoulombNonRelativistic::getCoulombRadius().

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G4double G4INCL::Math::powMinus13 ( G4double  x)
inline

Definition at line 92 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 92 of file G4INCLGlobals.hh

References oneThird.

template<typename T >
G4int G4INCL::Math::sign ( const T  t)
inline

A simple sign function that allows us to port fortran code to c++ more easily.

Definition at line 107 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 107 of file G4INCLGlobals.hh

Referenced by G4INCL::CoulombNonRelativistic::coulombDeviation(), G4INCL::NNToMissingStrangenessChannel::fillFinalState(), G4INCL::NpiToMissingStrangenessChannel::fillFinalState(), G4INCL::DeltaProductionChannel::fillFinalState(), G4INCL::ElasticChannel::fillFinalState(), gaussianCDF(), G4INCL::StrangeAbsorbtionChannel::sampleAngles(), G4INCL::SigmaZeroDecayChannel::sampleAngles(), G4INCL::PionResonanceDecayChannel::sampleAngles(), G4INCL::DeltaDecayChannel::sampleAngles(), and G4INCL::RootFinder::solve().

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G4double G4INCL::Math::toDegrees ( G4double  radians)
inline

Definition at line 79 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 79 of file G4INCLGlobals.hh

References pi.

Referenced by G4INCL::Nucleus::fillEventInfo(), G4INCL::EventInfo::fillInverseKinematics(), and G4INCL::EventInfo::remnantToParticle().

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Variable Documentation

const G4double G4INCL::Math::oneOverSqrtThree = 1./std::sqrt((G4double)3.)
const G4double G4INCL::Math::oneOverSqrtTwo = 1./std::sqrt((G4double)2.)

Definition at line 72 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 72 of file G4INCLGlobals.hh

Referenced by gaussianCDF().

const G4double G4INCL::Math::oneThird = 1./3.

Definition at line 74 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 74 of file G4INCLGlobals.hh

Referenced by pow13(), and powMinus13().

const G4double G4INCL::Math::piOverTwo = 0.5 * pi

Definition at line 71 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 71 of file G4INCLGlobals.hh

Referenced by G4INCL::CoulombNonRelativistic::coulombDeviation(), and G4INCL::CoulombNonRelativistic::distortOut().

const G4double G4INCL::Math::sqrtFiveThirds = std::sqrt(5./3.)

Definition at line 76 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 76 of file G4INCLGlobals.hh

Referenced by G4INCL::ParticleTable::getFermiMomentumConstantLight().

const G4double G4INCL::Math::sqrtThreeFifths = std::sqrt(3./5.)

Definition at line 77 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 77 of file G4INCLGlobals.hh

Referenced by G4INCL::ParticleTable::getMomentumRMS().

const G4double G4INCL::Math::twoThirds = 2./3.

Definition at line 75 of file G4INCLGlobals.hh.

View newest version in sPHENIX GitHub at line 75 of file G4INCLGlobals.hh

Referenced by G4INCL::InteractionAvatar::postInteraction(), and pow23().