The template TabulateObject class is a derived of the QGrid class that tabulates on object of type T (it can be a double, a Distribution, an Operator, Set<Distribution>, a Set<Operator>) over a grid in Q, taking into account the possible presence of thresholds, and provides the method to evaluate the tabulated object at any generic value of Q. More...

#include <tabulateobject.h>

Inheritance diagram for apfel::TabulateObject< T >:

Public Member Functions
Constructors
List of constructors.
	TabulateObject (MatchedEvolution< T > &Object, int const &nQ, double const &QMin, double const &QMax, int const &InterDegree, double const &Lambda=0.25)
	The TabulateObject constructor for an "evolving" object (MatchedEvolution).

	TabulateObject (std::function< T(double const &)> const &Object, int const &nQ, double const &QMin, double const &QMax, int const &InterDegree, std::vector< double > const &Thresholds, double const &Lambda=0.25)
	The TabulateObject constructor for a Q dependent object.

	TabulateObject (std::function< T(double const &)> const &Object, int const &nQ, double const &QMin, double const &QMax, int const &InterDegree, std::vector< double > const &Thresholds, std::function< double(double const &)> const &TabFunc, std::function< double(double const &)> const &InvTabFunc)
	The TabulateObject constructor for a Q dependent object tabulated on a user-defined distribution in Q.

	TabulateObject (std::function< T(double const &)> const &Object, std::vector< double > const &Qg, int const &InterDegree)
	The TabulateObject constructor for a Q dependent object tabulated on a user-defined grid.

	TabulateObject (std::vector< T > const &Object, std::vector< double > const &Qg, int const &InterDegree)
	The TabulateObject constructor for a pretabulated object tabulated on a user-defined grid.

Evaluate functions
List of functions to interpolate the tabulated object.
double	EvaluatexQ (double const &x, double const &Q) const
	This function interpolates in x and Q. It is used for T = Distribution.

double	EvaluatexQ (int const &i, double const &x, double const &Q) const
	This function interpolates in x and Q for a given element i. It is used for T = Set<Distribution>.

double	EvaluatexzQ (double const &x, double const &z, double const &Q) const
	This function interpolates in x, z, and Q. It is used for T = DoubleOject<Distribution>.

std::map< int, double >	EvaluateMapxQ (double const &x, double const &Q) const
	This function interpolates in x and Q and returns a map. It is used for T = Set<Distribution>.

Public Member Functions inherited from apfel::QGrid< T >
T	Evaluate (double const &Q) const
	Function that interpolates on the grid in Q.

T	Derive (double const &Q) const
	Function that derives on the grid in Q.

T	Integrate (double const &Qa, double const &Qb) const
	Function that integrates on the grid in Q.

double	Interpolant (int const &tQ, int const &tau, double const &fq) const
	Interpolation functions on QGrid.

double	DerInterpolant (int const &tQ, int const &tau, double const &Q) const
	Derivative of the interpolation functions on QGrid.

double	IntInterpolant (int const &tQ, int const &tau, double const &Qa, double const &Qb) const
	Derivative of the interpolation functions on QGrid.

std::tuple< int, int, int >	SumBounds (double const &Q) const
	Computes the control parameter of the interpolant, the lower and upper bounds over which the sum is limited.

void	Print () const
	Print the QGrid object.

	QGrid ()=delete

	QGrid (int const &nQ, double const &QMin, double const &QMax, int const &InterDegree, std::vector< double > const &Thresholds, std::function< double(double const &)> const &TabFunc, std::function< double(double const &)> const &InvTabFunc)
	The QGrid constructor.

	QGrid (int const &nQ, double const &QMin, double const &QMax, int const &InterDegree, std::vector< double > const &Thresholds, double const &Lambda=0.25)
	The QGrid constructor.

	QGrid (std::vector< double > const &Qg, int const &InterDegree)
	The QGrid constructor.

bool	operator== (QGrid const &sg) const

bool	operator!= (QGrid const &sg) const

int	nQ () const
	return the number of Q interval

int	InterDegree () const
	return the interpolation degree

double	QMin () const
	return the minimum node value

double	QMax () const
	return the maximum node value

std::function< double(double const &)> const &	TabFunc () const
	return the tabulation function

std::vector< double > const &	GetThresholds () const
	return the heavy quark thresholds

std::vector< double > const &	GetQGrid () const
	return the grid in Q

std::vector< double > const &	GetFQGrid () const
	return the grid in _TabFunc(Q)

std::vector< int > const &	GetThesholdIndices () const
	return the indices of the thresholds on the grid

std::vector< T > const &	GetQGridValues () const
	return the tabulated objects on the grid.

Additional Inherited Members
Protected Attributes inherited from apfel::QGrid< T >
int	_nQ
	Number intervals.

double	_QMin
	Minumim value of Q.

double	_QMax
	Maximum value of Q.

int	_InterDegree
	Interpolation degree.

std::vector< double >	_Thresholds
	Thresholds.

std::function< double(double const &)>	_TabFunc
	Function whose constant step is used for the tabulation.

std::vector< double >	_Qg
	Grid in Q.

std::vector< double >	_fQg
	Grid in _TabFunc(Q)

std::vector< int >	_nQg
	Indices of the nodes on which there is either a bound or a threshold.

std::vector< T >	_GridValues
	Vector of values to be interpolated on the grid.

Detailed Description

template<class T>
class apfel::TabulateObject< T >

The template TabulateObject class is a derived of the QGrid class that tabulates on object of type T (it can be a double, a Distribution, an Operator, Set<Distribution>, a Set<Operator>) over a grid in Q, taking into account the possible presence of thresholds, and provides the method to evaluate the tabulated object at any generic value of Q.

Examples: dglap_test.cc, dglap_test_streamlined.cc, gpd_test.cc, qgrid_test.cc, qgriddist_test.cc, structurefunction_cc_test.cc, structurefunction_massive_test.cc, structurefunction_nc_pol_test.cc, structurefunction_nc_test.cc, and tmd_test.cc.

Constructor & Destructor Documentation

◆ TabulateObject() [1/5]

template<class T >

apfel::TabulateObject< T >::TabulateObject	(	MatchedEvolution< T > &	Object,
		int const &	nQ,
		double const &	QMin,
		double const &	QMax,
		int const &	InterDegree,
		double const &	Lambda = 0.25 )

The TabulateObject constructor for an "evolving" object (MatchedEvolution).

Parameters

Object	the MatchedEvolution type object to be tabulated in Q
nQ	the number of on nodes of the grid in Q
QMin	the lower bound of the grid in Q
QMax	the upper bound of the grid in Q
InterDegree	the interpolation degree on the grid in Q
Lambda	the value of the parameter in the function ln(ln(Q²/Λ²)) used for the tabulation (default: 0.25)

◆ TabulateObject() [2/5]

template<class T >

apfel::TabulateObject< T >::TabulateObject	(	std::function< T(double const &)> const &	Object,
		int const &	nQ,
		double const &	QMin,
		double const &	QMax,
		int const &	InterDegree,
		std::vector< double > const &	Thresholds,
		double const &	Lambda = 0.25 )

The TabulateObject constructor for a Q dependent object.

Parameters

Object	the T-valued function to be tabulated in Q
nQ	the number of on nodes of the grid in Q
QMin	the lower bound of the grid in Q
QMax	the upper bound of the grid in Q
InterDegree	the interpolation degree on the grid in Q
Thresholds	vector of quark thresholds
Lambda	the value of the parameter in the function ln(ln(Q²/Λ²)) used for the tabulation (default: 0.25)

◆ TabulateObject() [3/5]

template<class T >

apfel::TabulateObject< T >::TabulateObject	(	std::function< T(double const &)> const &	Object,
		int const &	nQ,
		double const &	QMin,
		double const &	QMax,
		int const &	InterDegree,
		std::vector< double > const &	Thresholds,
		std::function< double(double const &)> const &	TabFunc,
		std::function< double(double const &)> const &	InvTabFunc )

The TabulateObject constructor for a Q dependent object tabulated on a user-defined distribution in Q.

Parameters

Object	the T-valued function to be tabulated in Q
nQ	the number of on nodes of the grid in Q
QMin	the lower bound of the grid in Q
QMax	the upper bound of the grid in Q
InterDegree	the interpolation degree on the grid in Q
Thresholds	vector of quark thresholds
TabFunc	the function to be used for the tabulation in Q
InvTabFunc	the inverse function of TabFunc (it has to be provided analytically)

◆ TabulateObject() [4/5]

template<class T >

apfel::TabulateObject< T >::TabulateObject	(	std::function< T(double const &)> const &	Object,
		std::vector< double > const &	Qg,
		int const &	InterDegree )

The TabulateObject constructor for a Q dependent object tabulated on a user-defined grid.

Parameters

Object	the T-valued function to be tabulated in Q
Qg	the user-defined interpolation grid
InterDegree	the interpolation degree on the grid in Q

◆ TabulateObject() [5/5]

template<class T >

apfel::TabulateObject< T >::TabulateObject	(	std::vector< T > const &	Object,
		std::vector< double > const &	Qg,
		int const &	InterDegree )

The TabulateObject constructor for a pretabulated object tabulated on a user-defined grid.

Parameters

Object	the T-valued vector of the pre-tabulated object
Qg	the user-defined interpolation grid
InterDegree	the interpolation degree on the grid in Q

Member Function Documentation

◆ EvaluateMapxQ()

template<class T >

std::map< int, double > apfel::TabulateObject< T >::EvaluateMapxQ	(	double const &	x,
		double const &	Q ) const

This function interpolates in x and Q and returns a map. It is used for T = Set<Distribution>.

Examples: structurefunction_cc_test.cc, structurefunction_massive_test.cc, structurefunction_nc_pol_test.cc, and structurefunction_nc_test.cc.

◆ EvaluatexQ() [1/2]

template<class T >

double apfel::TabulateObject< T >::EvaluatexQ	(	double const &	x,
		double const &	Q ) const

This function interpolates in x and Q. It is used for T = Distribution.

◆ EvaluatexQ() [2/2]

template<class T >

double apfel::TabulateObject< T >::EvaluatexQ	(	int const &	i,
		double const &	x,
		double const &	Q ) const

This function interpolates in x and Q for a given element i. It is used for T = Set<Distribution>.

◆ EvaluatexzQ()

template<class T >

double apfel::TabulateObject< T >::EvaluatexzQ	(	double const &	x,
		double const &	z,
		double const &	Q ) const

This function interpolates in x, z, and Q. It is used for T = DoubleOject<Distribution>.

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

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TabulateObject() [1/5]

◆ TabulateObject() [2/5]

◆ TabulateObject() [3/5]

◆ TabulateObject() [4/5]

◆ TabulateObject() [5/5]

Member Function Documentation

◆ EvaluateMapxQ()

◆ EvaluatexQ() [1/2]

◆ EvaluatexQ() [2/2]

◆ EvaluatexzQ()