ePDF::NDistributions Class Reference

The "NDistribution" class. More...

#include <ndistributions.h>

Public Member Functions
	NDistributions (YAML::Node const &config)
	The "NDistribution" constructor. More...
virtual	~NDistributions ()
	The "NDistribution" destructor. More...
virtual std::vector< std::complex< double > >	Evolve (std::complex< double > const &N, double const &Q) const
	function that returns the N-th (complex) moment of PDFs. More...
std::pair< std::complex< double >, Matrix< std::complex< double > > >	UMatrix (std::complex< double > const &N, double const &Q) const
	function that returns the evolution operators in N space using the iterative U matrix method. More...
std::pair< std::complex< double >, Matrix< std::complex< double > > >	PathOrdering (std::complex< double > const &N, double const &Q) const
	function that returns the evolution operators in N space using the path-ordering method. More...
std::pair< std::complex< double >, Matrix< std::complex< double > > >	AlphaFixed (std::complex< double > const &N, double const &Q) const
	function that returns the evolution operators in N space using for the alpha-fixed case. More...
std::pair< std::complex< double >, Matrix< std::complex< double > > >	InitialDistributions (std::complex< double > const &N) const
	function that returns the initial distributions in N space More...
std::complex< double >	fde (std::complex< double > const &N) const
	Scheme functions. More...
std::complex< double >	fdgm (std::complex< double > const &N) const
Matrix< std::complex< double > >	Integrandsg (Matrix< std::complex< double >> const &G0, Matrix< std::complex< double >> const &G1, Matrix< std::complex< double >> const &J, double const &a) const
	Helper functions. More...
std::complex< double >	Integrandns (std::complex< double > const &G0, std::complex< double > const &G1, std::complex< double > const &J, double const &a) const
Matrix< std::complex< double > >	Minv (Matrix< std::complex< double >> const &M) const

Private Attributes
const AlphaQED	_aQED
const int	_ipt
const int	_nl
const double	_Qi
const double	_ai
const double	_bt0
const double	_bt1
const std::string	_method
const bool	_expand
const std::string	_scheme

Detailed Description

The "NDistribution" class.

Constructor & Destructor Documentation

NDistributions()

ePDF::NDistributions::NDistributions

(

YAML::Node const &

config

)

The "NDistribution" constructor.

Parameters

config

the YAML:Node with the parameters

~NDistributions()

virtual ePDF::NDistributions::~NDistributions ( )

inlinevirtual

The "NDistribution" destructor.

Member Function Documentation

AlphaFixed()

std::pair<std::complex<double>, Matrix<std::complex<double> > > ePDF::NDistributions::AlphaFixed	(	std::complex< double > const &	N,
		double const &	Q
	)		const

function that returns the evolution operators in N space using for the alpha-fixed case.

Parameters

N	moment
Q	final scale coupling

Evolve()

virtual std::vector<std::complex<double> > ePDF::NDistributions::Evolve ( std::complex< double > const &  N, double const &  Q  ) const

virtual

function that returns the N-th (complex) moment of PDFs.

Parameters

N	moment
Q	the final scale

fde()

std::complex<double> ePDF::NDistributions::fde

(

std::complex< double > const &

N

)

const

Scheme functions.

Parameters

N

moment

fdgm()

std::complex<double> ePDF::NDistributions::fdgm

(

std::complex< double > const &

N

)

const

InitialDistributions()

std::pair<std::complex<double>, Matrix<std::complex<double> > > ePDF::NDistributions::InitialDistributions

(

std::complex< double > const &

N

)

const

function that returns the initial distributions in N space

Parameters

N

moment

Integrandns()

std::complex<double> ePDF::NDistributions::Integrandns	(	std::complex< double > const &	G0,
		std::complex< double > const &	G1,
		std::complex< double > const &	J,
		double const &	a
	)		const

Integrandsg()

Matrix<std::complex<double> > ePDF::NDistributions::Integrandsg	(	Matrix< std::complex< double >> const &	G0,
		Matrix< std::complex< double >> const &	G1,
		Matrix< std::complex< double >> const &	J,
		double const &	a
	)		const

Helper functions.

Minv()

Matrix<std::complex<double> > ePDF::NDistributions::Minv

(

Matrix< std::complex< double >> const &

M

)

const

PathOrdering()

std::pair<std::complex<double>, Matrix<std::complex<double> > > ePDF::NDistributions::PathOrdering	(	std::complex< double > const &	N,
		double const &	Q
	)		const

function that returns the evolution operators in N space using the path-ordering method.

Parameters

N	moment
Q	final scale coupling

UMatrix()

std::pair<std::complex<double>, Matrix<std::complex<double> > > ePDF::NDistributions::UMatrix	(	std::complex< double > const &	N,
		double const &	Q
	)		const

function that returns the evolution operators in N space using the iterative U matrix method.

Parameters

N	moment
Q	final scale coupling

Member Data Documentation

_ai

const double ePDF::NDistributions::_ai

private

_aQED

const AlphaQED ePDF::NDistributions::_aQED

private

_bt0

const double ePDF::NDistributions::_bt0

private

_bt1

const double ePDF::NDistributions::_bt1

private

_expand

const bool ePDF::NDistributions::_expand

private

_ipt

const int ePDF::NDistributions::_ipt

private

_method

const std::string ePDF::NDistributions::_method

private

_nl

const int ePDF::NDistributions::_nl

private

_Qi

const double ePDF::NDistributions::_Qi

private

_scheme

const std::string ePDF::NDistributions::_scheme

private

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The documentation for this class was generated from the following file:

• /Users/vbertone/Codes/ePDF/inc/ePDF/ndistributions.h