APFEL: apfel::Expression Class Reference

APFEL 4.8.0

A PDF evolution library in C++

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The Expression class encapsulates in a proper form a given analytic expression in such a way that it can be transformed into an operator. More...

#include <expression.h>

Inheritance diagram for apfel::Expression:

Public Member Functions
virtual	~Expression ()=default

void	SetExternalVariable (double const &extvar) const
	Function that sets the value of a possible external variable.

double	eta () const
	Function that returns the value of the scaling parameter eta.

Constructors
List of constructors.
	Expression (double const &eta=1)
	The "Expression" constructor.

Expression components
The different possible components of an expression: regular, singular, and local.
virtual double	Regular (double const &) const
	Virtual regular term.

virtual double	Singular (double const &) const
	Virtual singular term.

virtual double	Local (double const &) const
	Virtual local term.

virtual double	LocalPP (double const &) const
	Virtual local term for principal-valued integrals a la ERBL with singularity at x = 1, i.e. corresponding to the ++-prescription.

virtual double	SingularPV (double const &) const
	Virtual singular term for principal-valued integrals in the DGLAP region (i.e. with pole in x in the interval (0,1)).

virtual double	LocalPV (double const &) const
	Virtual local term for principal-valued integrals a la DGLAP with singularity in the interval (0,1).

Protected Attributes
double	_extvar
	External kinematic variable.

double const	_eta
	Scaling parameter.

Detailed Description

The Expression class encapsulates in a proper form a given analytic expression in such a way that it can be transformed into an operator.

Examples: distribution_test.cc, operator_test.cc, and principal_value_test.cc.

Constructor & Destructor Documentation

◆ ~Expression()

virtual apfel::Expression::~Expression ( )

virtualdefault

◆ Expression()

apfel::Expression::Expression ( double const & eta = 1 )

The "Expression" constructor.

Parameters

eta	upper limit of the convolution integral (default: 1)

Examples: distribution_test.cc, operator_test.cc, and principal_value_test.cc.

Member Function Documentation

◆ eta()

double apfel::Expression::eta ( ) const

inline

Function that returns the value of the scaling parameter eta.

◆ Local()

virtual double apfel::Expression::Local ( double const & ) const

inlinevirtual

Virtual local term.

Returns: The local term at x

Reimplemented in apfel::ANS2qqH_0, apfel::ANS2qqH_L2, apfel::ANS2qqH_L, apfel::ANS3qqH_0, apfel::AS1ggH_L, apfel::AS1polggH_L, apfel::AS2ggH_0, apfel::AS2ggH_L2, apfel::AS2ggH_L, apfel::ATS1ggH_L, apfel::C1ggff, apfel::C1ggpdf, apfel::C1ggpdfg1, apfel::C1nsff, apfel::C1nspdf, apfel::C1nspdfg1, apfel::C1nspdfSivers, apfel::C21ns, apfel::C21Tns, apfel::C22g, apfel::C22nsm, apfel::C22nsp, apfel::C22Tnsp, apfel::C23g, apfel::C23nsm, apfel::C23nsp, apfel::C23ps, apfel::C2ggff, apfel::C2ggpdf, apfel::C2nsmff, apfel::C2nsmpdf, apfel::C2nspff, apfel::C2nsppdf, apfel::C31ns, apfel::C31Tns, apfel::C32nsm, apfel::C32nsp, apfel::C32Tnsp, apfel::C33nsm, apfel::C33nsp, apfel::C3ggff, apfel::C3ggpdf, apfel::C3nsmff, apfel::C3nsmpdf, apfel::C3nspff, apfel::C3nsppdf, apfel::Cgtmd1gg, apfel::Cgtmd1lingg, apfel::Cgtmd1linpolgg, apfel::Cgtmd1linunpgg, apfel::Cgtmd1ns, apfel::Cgtmd1polgg, apfel::Cgtmd1polns, apfel::Cgtmd1polqq, apfel::Cgtmd1qq, apfel::CL2nsm, apfel::CL2nsp, apfel::CL3nsm, apfel::CL3nsp, apfel::Cm022nsNC_c, apfel::Cm022nsNC_l2, apfel::Cm022nsNC_l, apfel::Cm11ns, apfel::Cm21ns, apfel::Cm21qCC, apfel::Cm22nsNC, apfel::Cm31ns, apfel::Cm31qCC, apfel::CmL1ns, apfel::CmL1qCC, apfel::G11ns, apfel::G12nsp, apfel::G41ns, apfel::Identity, apfel::P0gg, apfel::P0ns, apfel::P0polgg, apfel::P0Tgg, apfel::P0Tns, apfel::P0transgg, apfel::P0transns, apfel::P0Ttransns, apfel::P1gg, apfel::P1nsp, apfel::P1polgg, apfel::P1Tgg, apfel::P1Tnsp, apfel::P1transgg, apfel::P1transnsp, apfel::P1Ttransnsp, apfel::P2gg, apfel::P2nsm, apfel::P2nsp, apfel::P2polgg, apfel::P2Tgg, apfel::P2Tnsm, apfel::P2Tnsp, apfel::P3gg, apfel::P3nsm, apfel::P3nsp, apfel::Pgpd0gg, apfel::Pgpd0ns, apfel::Pgpd0polgg, apfel::Pgpd0polns, apfel::Pgpd0polqq, apfel::Pgpd0qq, apfel::Pgpd0transgg, apfel::Pgpd0transns, and apfel::Pgpd0transqq.

Examples: distribution_test.cc, and operator_test.cc.

◆ LocalPP()

virtual double apfel::Expression::LocalPP ( double const & ) const

inlinevirtual

Virtual local term for principal-valued integrals a la ERBL with singularity at x = 1, i.e. corresponding to the ++-prescription.

Returns: The local term for ++-prespribed distributions at x

Reimplemented in apfel::Pgpd0gg, apfel::Pgpd0ns, apfel::Pgpd0polgg, apfel::Pgpd0polns, apfel::Pgpd0polqq, apfel::Pgpd0qq, apfel::Pgpd0transgg, apfel::Pgpd0transns, and apfel::Pgpd0transqq.

Examples: principal_value_test.cc.

◆ LocalPV()

virtual double apfel::Expression::LocalPV ( double const & ) const

inlinevirtual

Virtual local term for principal-valued integrals a la DGLAP with singularity in the interval (0,1).

Returns: The local term for principal-valued distributions at x

Reimplemented in apfel::Cgtmd1gg, apfel::Cgtmd1lingg, apfel::Cgtmd1linpolgg, apfel::Cgtmd1linunpgg, apfel::Cgtmd1polgg, apfel::Cgtmd1polqg, and apfel::Cgtmd1qg.

Examples: principal_value_test.cc.

◆ Regular()

virtual double apfel::Expression::Regular ( double const & ) const

inlinevirtual

Virtual regular term.

Returns: The regular term at x

Reimplemented in apfel::ANS2qqH_0, apfel::ANS2qqH_L2, apfel::ANS2qqH_L, apfel::ANS3qqH_0, apfel::APS2Hq_0, apfel::APS2Hq_L2, apfel::APS2Hq_L, apfel::APS3Hq_0, apfel::AS1gH_0, apfel::AS1gH_L, apfel::AS1Hg_L, apfel::AS1polgH_0, apfel::AS1polgH_L, apfel::AS1polHg_L, apfel::AS2ggH_0, apfel::AS2ggH_L2, apfel::AS2ggH_L, apfel::AS2gqH_0, apfel::AS2gqH_L2, apfel::AS2gqH_L, apfel::AS2Hg_0, apfel::AS2Hg_L2, apfel::AS2Hg_L, apfel::AS3ggH_0, apfel::AS3gqH_0, apfel::AS3Hg_0, apfel::ATS1gH_L, apfel::ATS1Hg_0, apfel::ATS1Hg_L, apfel::C1ggff, apfel::C1ggpdfBM, apfel::C1ggpdfg1, apfel::C1gqff, apfel::C1gqpdf, apfel::C1gqpdfBM, apfel::C1gqpdfg1, apfel::C1nsff, apfel::C1nspdf, apfel::C1nspdfg1, apfel::C1nspdfSivers, apfel::C1qgff, apfel::C1qgpdf, apfel::C1qgpdfg1, apfel::C21g, apfel::C21ns, apfel::C21Tg, apfel::C21Tns, apfel::C22g, apfel::C22nsm, apfel::C22nsp, apfel::C22ps, apfel::C22Tg, apfel::C22Tnsp, apfel::C22Tps, apfel::C23g, apfel::C23nsm, apfel::C23nsp, apfel::C23ps, apfel::C2ggff, apfel::C2ggpdf, apfel::C2ggpdfBM, apfel::C2gqff, apfel::C2gqpdf, apfel::C2gqpdfBM, apfel::C2nsmff, apfel::C2nsmpdf, apfel::C2nspff, apfel::C2nsppdf, apfel::C2psff, apfel::C2pspdf, apfel::C2qgff, apfel::C2qgpdf, apfel::C31ns, apfel::C31Tns, apfel::C32nsm, apfel::C32nsp, apfel::C32Tnsp, apfel::C33nsm, apfel::C33nsp, apfel::C33nsv, apfel::C3ggff, apfel::C3ggpdf, apfel::C3gqff, apfel::C3gqpdf, apfel::C3nsmff, apfel::C3nsmpdf, apfel::C3nspff, apfel::C3nsppdf, apfel::C3psff, apfel::C3pspdf, apfel::C3pvff, apfel::C3pvpdf, apfel::C3qgff, apfel::C3qgpdf, apfel::Cgtmd1gg, apfel::Cgtmd1gq, apfel::Cgtmd1lingg, apfel::Cgtmd1linpolgg, apfel::Cgtmd1linpolgq, apfel::Cgtmd1linunpgg, apfel::Cgtmd1linunpgq, apfel::Cgtmd1ns, apfel::Cgtmd1polgg, apfel::Cgtmd1polgq, apfel::Cgtmd1polns, apfel::Cgtmd1polqg, apfel::Cgtmd1polqq, apfel::Cgtmd1qg, apfel::Cgtmd1qq, apfel::CL1g, apfel::CL1ns, apfel::CL1Tg, apfel::CL1Tns, apfel::CL2g, apfel::CL2nsm, apfel::CL2nsp, apfel::CL2ps, apfel::CL2Tg, apfel::CL2Tnsp, apfel::CL2Tps, apfel::CL3g, apfel::CL3nsm, apfel::CL3nsp, apfel::CL3ps, apfel::Cm021gNC_c, apfel::Cm021gNC_l, apfel::Cm022gNC_c, apfel::Cm022gNC_f, apfel::Cm022gNC_l2, apfel::Cm022gNC_l, apfel::Cm022gNC_lf, apfel::Cm022nsNC_c, apfel::Cm022nsNC_l2, apfel::Cm022nsNC_l, apfel::Cm022psNC_c, apfel::Cm022psNC_f, apfel::Cm022psNC_l2, apfel::Cm022psNC_l, apfel::Cm022psNC_lf, apfel::Cm023gNC_c, apfel::Cm023gNC_l2, apfel::Cm023gNC_l3, apfel::Cm023gNC_l, apfel::Cm023psNC_c, apfel::Cm023psNC_l2, apfel::Cm023psNC_l3, apfel::Cm023psNC_l, apfel::Cm0L1gNC_c, apfel::Cm0L2gNC_c, apfel::Cm0L2gNC_f, apfel::Cm0L2gNC_l, apfel::Cm0L2nsNC_c, apfel::Cm0L2nsNC_l, apfel::Cm0L2psNC_c, apfel::Cm0L2psNC_f, apfel::Cm0L2psNC_l, apfel::Cm0L3gNC_c, apfel::Cm0L3gNC_l2, apfel::Cm0L3gNC_l, apfel::Cm0L3psNC_c, apfel::Cm0L3psNC_l2, apfel::Cm0L3psNC_l, apfel::Cm0sx23gNC, apfel::Cm0sx23psNC, apfel::Cm0sxL3gNC, apfel::Cm0sxL3psNC, apfel::Cm11ns, apfel::Cm21gCC, apfel::Cm21gNC, apfel::Cm21ns, apfel::Cm21qCC, apfel::Cm22bargNC, apfel::Cm22barpsNC, apfel::Cm22gNC, apfel::Cm22nsNC, apfel::Cm22psNC, apfel::Cm2a3gNC, apfel::Cm2a3psNC, apfel::Cm31gCC, apfel::Cm31ns, apfel::Cm31qCC, apfel::CmL1gCC, apfel::CmL1gNC, apfel::CmL1ns, apfel::CmL1qCC, apfel::CmL2bargNC, apfel::CmL2barpsNC, apfel::CmL2gNC, apfel::CmL2nsNC, apfel::CmL2psNC, apfel::CmLa3gNC, apfel::CmLa3psNC, apfel::Cmsx23gNC, apfel::Cmsx23psNC, apfel::CmsxL3gNC, apfel::CmsxL3psNC, apfel::Cmth23gNC, apfel::CmthL3gNC, apfel::G11g, apfel::G11ns, apfel::G12g, apfel::G12nsp, apfel::G12ps, apfel::G41ns, apfel::GL1ns, apfel::P0gg, apfel::P0gq, apfel::P0ns, apfel::P0polgg, apfel::P0polgq, apfel::P0polqg, apfel::P0qg, apfel::P0Tgg, apfel::P0Tgq, apfel::P0Tns, apfel::P0Tqg, apfel::P0transgg, apfel::P0transns, apfel::P0Ttransns, apfel::P1gg, apfel::P1gq, apfel::P1nsm, apfel::P1nsp, apfel::P1polgg, apfel::P1polgq, apfel::P1polps, apfel::P1polqg, apfel::P1ps, apfel::P1qg, apfel::P1Tgg, apfel::P1Tgq, apfel::P1Tnsm, apfel::P1Tnsp, apfel::P1Tps, apfel::P1Tqg, apfel::P1transgg, apfel::P1transnsm, apfel::P1transnsp, apfel::P1Ttransnsm, apfel::P1Ttransnsp, apfel::P2gg, apfel::P2gq, apfel::P2nsm, apfel::P2nsp, apfel::P2nss, apfel::P2polgg, apfel::P2polgq, apfel::P2polnss, apfel::P2polps, apfel::P2polqg, apfel::P2ps, apfel::P2qg, apfel::P2Tgg, apfel::P2Tgq, apfel::P2Tnsm, apfel::P2Tnsp, apfel::P2Tnss, apfel::P2Tps, apfel::P2Tqg, apfel::P3gg, apfel::P3gq, apfel::P3nsm, apfel::P3nsp, apfel::P3nss, apfel::P3ps, apfel::P3qg, apfel::Pgpd0gg, apfel::Pgpd0gq, apfel::Pgpd0ns, apfel::Pgpd0polgg, apfel::Pgpd0polgq, apfel::Pgpd0polns, apfel::Pgpd0polqg, apfel::Pgpd0polqq, apfel::Pgpd0qg, apfel::Pgpd0qq, apfel::Pgpd0transgg, apfel::Pgpd0transns, and apfel::Pgpd0transqq.

Examples: distribution_test.cc, and operator_test.cc.

◆ SetExternalVariable()

void apfel::Expression::SetExternalVariable ( double const & extvar ) const

inline

Function that sets the value of a possible external variable.

◆ Singular()

virtual double apfel::Expression::Singular ( double const & ) const

inlinevirtual

Virtual singular term.

Returns: The singular term at x

Reimplemented in apfel::ANS2qqH_0, apfel::ANS2qqH_L2, apfel::ANS2qqH_L, apfel::ANS3qqH_0, apfel::AS1HH_0, apfel::AS1HH_L, apfel::AS1polHH_0, apfel::AS1polHH_L, apfel::AS2ggH_0, apfel::AS2ggH_L2, apfel::AS2ggH_L, apfel::ATS1HH_0, apfel::ATS1HH_L, apfel::C21ns, apfel::C21Tns, apfel::C22nsm, apfel::C22nsp, apfel::C22Tnsp, apfel::C23nsm, apfel::C23nsp, apfel::C2ggff, apfel::C2ggpdf, apfel::C2nsmff, apfel::C2nsmpdf, apfel::C2nspff, apfel::C2nsppdf, apfel::C31ns, apfel::C31Tns, apfel::C32nsm, apfel::C32nsp, apfel::C32Tnsp, apfel::C33nsm, apfel::C33nsp, apfel::C3ggff, apfel::C3ggpdf, apfel::C3nsmff, apfel::C3nsmpdf, apfel::C3nspff, apfel::C3nsppdf, apfel::Cm022nsNC_c, apfel::Cm022nsNC_l2, apfel::Cm022nsNC_l, apfel::Cm11ns, apfel::Cm21ns, apfel::Cm21qCC, apfel::Cm31ns, apfel::Cm31qCC, apfel::CmL1ns, apfel::CmL1qCC, apfel::G11ns, apfel::G12nsp, apfel::G41ns, apfel::P0gg, apfel::P0ns, apfel::P0polgg, apfel::P0Tgg, apfel::P0Tns, apfel::P0transgg, apfel::P0transns, apfel::P0Ttransns, apfel::P1gg, apfel::P1nsp, apfel::P1polgg, apfel::P1Tgg, apfel::P1Tnsp, apfel::P1transgg, apfel::P1transnsp, apfel::P1Ttransnsp, apfel::P2gg, apfel::P2nsm, apfel::P2nsp, apfel::P2polgg, apfel::P2Tgg, apfel::P2Tnsm, apfel::P2Tnsp, apfel::P3gg, apfel::P3nsm, apfel::P3nsp, apfel::Pgpd0gg, apfel::Pgpd0ns, apfel::Pgpd0polgg, apfel::Pgpd0polns, apfel::Pgpd0polqq, apfel::Pgpd0qq, apfel::Pgpd0transgg, apfel::Pgpd0transns, and apfel::Pgpd0transqq.

Examples: distribution_test.cc, operator_test.cc, and principal_value_test.cc.

◆ SingularPV()

virtual double apfel::Expression::SingularPV ( double const & ) const

inlinevirtual

Virtual singular term for principal-valued integrals in the DGLAP region (i.e. with pole in x in the interval (0,1)).

Returns: The singular term for principal-valued distributions at x

Reimplemented in apfel::Cgtmd1gg, apfel::Cgtmd1lingg, apfel::Cgtmd1linpolgg, apfel::Cgtmd1linunpgg, apfel::Cgtmd1polgg, apfel::Cgtmd1polqg, and apfel::Cgtmd1qg.

Examples: principal_value_test.cc.

Member Data Documentation

◆ _eta

double const apfel::Expression::_eta

protected

Scaling parameter.

◆ _extvar

double apfel::Expression::_extvar

mutableprotected

External kinematic variable.

Examples: principal_value_test.cc.

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

/Users/vb262523/Codes/apfelxx/inc/apfel/expression.h