This is an abstract class which defines the common interface for all $1\to2$ splitting functions, for both initial-state and final-state radiation. More...

#include <SplittingFunction.h>

Inheritance diagram for Herwig::SplittingFunction:

[legend]

Public Member Functions
	SplittingFunction ()
	The default constructor.

ShowerInteraction	interactionType () const
	Methods to return the interaction type and order for the splitting function.

ColourStructure	colourStructure () const
	Return the colour structure.

double	colourFactor (const IdList &ids) const
	Return the colour factor.

virtual bool	accept (const IdList &ids) const =0
	Purely virtual method which should determine whether this splitting function can be used for a given set of particles.

virtual bool	checkColours (const IdList &ids) const
	Method to check the colours are correct.

virtual double	P (const double z, const Energy2 t, const IdList &ids, const bool mass, const RhoDMatrix &rho) const =0
	Methods to return the splitting function.

virtual double	overestimateP (const double z, const IdList &ids) const =0
	Purely virtual method which should return an overestimate of the splitting function, $P_{\rm over}$ such that the result $P_{\rm over}\geq P$.

virtual double	ratioP (const double z, const Energy2 t, const IdList &ids, const bool mass, const RhoDMatrix &rho) const =0
	Purely virtual method which should return the ratio of the splitting function to the overestimate, i.e.

virtual double	integOverP (const double z, const IdList &ids, unsigned int PDFfactor=0) const =0
	Purely virtual method which should return the indefinite integral of the overestimated splitting function, $P_{\rm over}$.

virtual double	invIntegOverP (const double r, const IdList &ids, unsigned int PDFfactor=0) const =0
	Purely virtual method which should return the inverse of the indefinite integral of the overestimated splitting function, $P_{\rm over}$ which is used to generate the value of $z$.

virtual void	colourConnection (tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second, ShowerPartnerType partnerType, const bool back) const
	Purely virtual method which should make the proper colour connection between the emitting parent and the branching products.

virtual vector< pair< int, Complex > >	generatePhiForward (const double z, const Energy2 t, const IdList &ids, const RhoDMatrix &)=0
	Method to calculate the azimuthal angle for forward evolution.

virtual vector< pair< int, Complex > >	generatePhiBackward (const double z, const Energy2 t, const IdList &ids, const RhoDMatrix &)=0
	Method to calculate the azimuthal angle for backward evolution.

virtual DecayMEPtr	matrixElement (const double z, const Energy2 t, const IdList &ids, const double phi, bool timeLike)=0
	Calculate the matrix element for the splitting.

bool	angularOrdered () const
	Whether or not the interaction is angular ordered.

bool	pTScale () const
	Scale choice.

void	evaluateFinalStateScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
	Functions to state scales after branching happens.

void	evaluateInitialStateScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
	Sort out scales for initial-state emission.

void	evaluateDecayScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
	Sort out scales for decay emission.

Public Member Functions inherited from ThePEG::Interfaced
virtual bool	defaultInit ()

PPtr	getParticle (PID) const

PDPtr	getParticleData (PID) const

bool	used () const

void	useMe () const

tEGPtr	generator () const

void	persistentOutput (PersistentOStream &os) const

void	persistentInput (PersistentIStream &is, int version)

PPtr	getParticle (PID) const

PDPtr	getParticleData (PID) const

bool	used () const

void	useMe () const

tEGPtr	generator () const

Public Member Functions inherited from ThePEG::InterfacedBase
string	fullName () const

string	name () const

string	path () const

string	comment () const

void	setup (istream &is)

void	update ()

void	init ()

virtual bool	preInitialize () const

void	initrun ()

void	finish ()

void	touch ()

void	reset ()

void	clear ()

InitState	state () const

bool	locked () const

bool	touched () const

virtual IBPtr	fullclone () const

void	persistentOutput (PersistentOStream &os) const

void	persistentInput (PersistentIStream &is, int version)

virtual void	debugme () const

void	update ()

void	init ()

virtual bool	preInitialize () const

void	initrun ()

void	finish ()

void	touch ()

void	reset ()

void	clear ()

InitState	state () const

bool	locked () const

bool	touched () const

virtual IBPtr	fullclone () const

Public Member Functions inherited from ThePEG::Base
void	debug () const

virtual void	debugme () const

Public Member Functions inherited from ThePEG::Pointer::ReferenceCounted
CounterType	referenceCount () const

Public Member Functions inherited from ThePEG::Named
	Named (const string &newName=string())

	Named (const Named &)=default

const string &	name () const

bool	operator== (const Named &other) const

bool	operator< (const Named &other) const

Standard Interfaced functions.
ShowerInteraction	_interactionType
	The interaction type for the splitting function.

ColourStructure	_colourStructure
	The colour structure.

double	_colourFactor
	The colour factor.

bool	angularOrdered_
	Whether or not this interaction is angular-ordered.

unsigned int	scaleChoice_
	The choice of scale.

bool	strictAO_
	Enforce strict AO.

virtual void	doinit ()
	Initialize this object after the setup phase before saving an EventGenerator to disk.

void	colourFactor (double in)
	Set the colour factor.

SplittingFunction &	operator= (const SplittingFunction &)=delete
	The assignment operator is private and must never be called.

Functions used by the persistent I/O system.
void	persistentOutput (PersistentOStream &os) const
	Function used to write out object persistently.

void	persistentInput (PersistentIStream &is, int version)
	Function used to read in object persistently.

static void	Init ()
	The standard Init function used to initialize the interfaces.

Additional Inherited Members
Public Types inherited from ThePEG::InterfacedBase
enum	InitState

Public Types inherited from ThePEG::Pointer::ReferenceCounted
typedef unsigned int	CounterType

Static Public Member Functions inherited from ThePEG::Interfaced
static void	Init ()

Static Public Member Functions inherited from ThePEG::InterfacedBase
static void	Init ()

Static Public Member Functions inherited from ThePEG::Base
static void	Init ()

Public Attributes inherited from ThePEG::InterfacedBase
	initializing

	uninitialized

	initialized

	runready

Public Attributes inherited from ThePEG::Pointer::ReferenceCounted
const unsigned long	uniqueId

Protected Member Functions inherited from ThePEG::Interfaced
void	reporeg (IBPtr object, string name) const

bool	setDefaultReference (PtrT &ptr, string classname, string objectname)

	Interfaced (const string &newName)

	Interfaced (const Interfaced &i)

void	setGenerator (tEGPtr generator)

Protected Member Functions inherited from ThePEG::InterfacedBase
virtual void	readSetup (istream &is)

virtual void	doupdate ()

virtual void	doinit ()

virtual void	doinitrun ()

virtual void	dofinish ()

virtual IVector	getReferences ()

virtual void	rebind (const TranslationMap &)

virtual IBPtr	clone () const=0

	InterfacedBase (string newName)

	InterfacedBase (const InterfacedBase &i)

virtual void	readSetup (istream &is)

virtual void	doupdate ()

virtual void	doinit ()

virtual void	doinitrun ()

virtual void	dofinish ()

virtual IVector	getReferences ()

virtual void	rebind (const TranslationMap &)

Protected Member Functions inherited from ThePEG::Pointer::ReferenceCounted
	ReferenceCounted (const ReferenceCounted &)

ReferenceCounted &	operator= (const ReferenceCounted &)

Protected Member Functions inherited from ThePEG::Named
const Named &	operator= (const Named &other)

const string &	name (const string &newName)

Static Protected Member Functions inherited from ThePEG::Interfaced
static void	registerRepository (IBPtr)

static void	registerRepository (IBPtr, string newName)

Detailed Description

This is an abstract class which defines the common interface for all $1\to2$ splitting functions, for both initial-state and final-state radiation.

The SplittingFunction class contains a number of purely virtual members which must be implemented in the inheriting classes. The class also stores the interaction type of the spltting function.

The inheriting classes need to specific the splitting function $P(z,2p_j\cdot p_k)$, in terms of the energy fraction $z$ and the evolution scale. In order to allow the splitting functions to be used with different choices of evolution functions the scale is given by

\[2p_j\cdot p_k=(p_j+p_k)^2-m_{jk}^2=Q^2-(p_j+p_k)^2=z(1-z)\tilde{q}^2= \frac{p_T^2}{z(1-z)}-m_{jk}^2+\frac{m_j^2}{z}+\frac{m_k^2}{1-z},\]

where $Q^2$ is the virtuality of the branching particle, $p_T$ is the relative transverse momentum of the branching products and $\tilde{q}^2$ is the angular variable described in hep-ph/0310083.

In addition an overestimate of the splitting function, $P_{\rm over}(z)$ which only depends upon $z$, the integral, inverse of the integral for this overestimate and ratio of the true splitting function to the overestimate must be provided as they are necessary for the veto alogrithm used to implement the evolution.

See also: The interfaces defined for SplittingFunction.

Definition at line 68 of file SplittingFunction.h.

Constructor & Destructor Documentation

◆ SplittingFunction()

Herwig::SplittingFunction::SplittingFunction ( )

inline

The default constructor.

Parameters

b	All splitting functions must have an interaction order

Definition at line 76 of file SplittingFunction.h.

Member Function Documentation

◆ accept()

virtual bool Herwig::SplittingFunction::accept ( const IdList & ids ) const

pure virtual

Purely virtual method which should determine whether this splitting function can be used for a given set of particles.

Parameters

ids	The PDG codes for the particles in the splitting.

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ angularOrdered()

bool Herwig::SplittingFunction::angularOrdered ( ) const

inline

Whether or not the interaction is angular ordered.

Definition at line 262 of file SplittingFunction.h.

References angularOrdered_.

◆ colourConnection()

virtual void Herwig::SplittingFunction::colourConnection	(	tShowerParticlePtr	parent,
		tShowerParticlePtr	first,
		tShowerParticlePtr	second,
		ShowerPartnerType	partnerType,
		const bool	back
	)		const

virtual

Purely virtual method which should make the proper colour connection between the emitting parent and the branching products.

Parameters

parent	The parent for the branching
first	The first branching product
second	The second branching product
partnerType	The type of evolution partner
back	Whether this is foward or backward evolution.

◆ colourFactor() [1/2]

double Herwig::SplittingFunction::colourFactor ( const IdList & ids ) const

inline

Return the colour factor.

Definition at line 100 of file SplittingFunction.h.

References _colourFactor, _colourStructure, and ThePEG::sqr().

◆ colourFactor() [2/2]

void Herwig::SplittingFunction::colourFactor ( double in )

inlineprotected

Set the colour factor.

Definition at line 345 of file SplittingFunction.h.

References _colourFactor.

◆ colourStructure()

ColourStructure Herwig::SplittingFunction::colourStructure ( ) const

inline

Return the colour structure.

Definition at line 95 of file SplittingFunction.h.

References _colourStructure.

◆ doinit()

virtual void Herwig::SplittingFunction::doinit ( )

protectedvirtual

Initialize this object after the setup phase before saving an EventGenerator to disk.

Exceptions

InitException if object could not be initialized properly.

Reimplemented from ThePEG::InterfacedBase.

Reimplemented in Herwig::CMWHalfHalfOneSplitFn, Herwig::CMWOneOneOneSplitFn, Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneQEDSplitFn, and Herwig::OneOneZeroEWSplitFn.

◆ evaluateFinalStateScales()

void Herwig::SplittingFunction::evaluateFinalStateScales	(	ShowerPartnerType	type,
		Energy	scale,
		double	z,
		tShowerParticlePtr	parent,
		tShowerParticlePtr	first,
		tShowerParticlePtr	second
	)

Functions to state scales after branching happens.

Sort out scales for final-state emission

◆ generatePhiBackward()

virtual vector< pair< int, Complex > > Herwig::SplittingFunction::generatePhiBackward	(	const double	z,
		const Energy2	t,
		const IdList &	ids,
		const RhoDMatrix &
	)

pure virtual

Method to calculate the azimuthal angle for backward evolution.

Parameters

z	The energy fraction
t	The scale $t=2p_j\cdot p_k$.
ids	The PDG codes for the particles in the splitting.

Returns: The weight

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ generatePhiForward()

virtual vector< pair< int, Complex > > Herwig::SplittingFunction::generatePhiForward	(	const double	z,
		const Energy2	t,
		const IdList &	ids,
		const RhoDMatrix &
	)

pure virtual

Method to calculate the azimuthal angle for forward evolution.

Parameters

z	The energy fraction
t	The scale $t=2p_j\cdot p_k$.
ids	The PDG codes for the particles in the splitting.
The	azimuthal angle, $\phi$.

Returns: The weight

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ Init()

static void Herwig::SplittingFunction::Init ( )

static

The standard Init function used to initialize the interfaces.

Called exactly once for each class by the class description system before the main function starts or when this class is dynamically loaded.

◆ integOverP()

virtual double Herwig::SplittingFunction::integOverP	(	const double	z,
		const IdList &	ids,
		unsigned int	PDFfactor = `0`
	)		const

pure virtual

Purely virtual method which should return the indefinite integral of the overestimated splitting function, $P_{\rm over}$.

Parameters

z	The energy fraction.
ids	The PDG codes for the particles in the splitting.
PDFfactor	Which additional factor to include for the PDF 0 is no additional factor, 1 is $1/z$, 2 is $1/(1-z)$ and 3 is $1/z/(1-z)$

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ interactionType()

ShowerInteraction Herwig::SplittingFunction::interactionType ( ) const

inline

Methods to return the interaction type and order for the splitting function.

Return the type of the interaction

Definition at line 90 of file SplittingFunction.h.

References _interactionType.

◆ invIntegOverP()

virtual double Herwig::SplittingFunction::invIntegOverP	(	const double	r,
		const IdList &	ids,
		unsigned int	PDFfactor = `0`
	)		const

pure virtual

Purely virtual method which should return the inverse of the indefinite integral of the overestimated splitting function, $P_{\rm over}$ which is used to generate the value of $z$.

Parameters

r	Value of the splitting function to be inverted
ids	The PDG codes for the particles in the splitting.
PDFfactor	Which additional factor to include for the PDF 0 is no additional factor, 1 is $1/z$, 2 is $1/(1-z)$ and 3 is $1/z/(1-z)$

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ matrixElement()

virtual DecayMEPtr Herwig::SplittingFunction::matrixElement	(	const double	z,
		const Energy2	t,
		const IdList &	ids,
		const double	phi,
		bool	timeLike
	)

pure virtual

Calculate the matrix element for the splitting.

Parameters

z	The energy fraction
t	The scale $t=2p_j\cdot p_k$.
ids	The PDG codes for the particles in the splitting.
phi	The azimuthal angle, $\phi$.
timeLike	Whether timelike or spacelike, affects inclusive of mass terms

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ operator=()

SplittingFunction & Herwig::SplittingFunction::operator= ( const SplittingFunction & )

privatedelete

The assignment operator is private and must never be called.

In fact, it should not even be implemented.

◆ overestimateP()

virtual double Herwig::SplittingFunction::overestimateP	(	const double	z,
		const IdList &	ids
	)		const

pure virtual

Purely virtual method which should return an overestimate of the splitting function, $P_{\rm over}$ such that the result $P_{\rm over}\geq P$.

This function should be simple enough that it does not depend on the evolution scale.

Parameters

z	The energy fraction.
ids	The PDG codes for the particles in the splitting.

Implemented in Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, Herwig::OneOneZeroEWSplitFn, and Herwig::ZeroZeroOneSplitFn.

◆ P()

virtual double Herwig::SplittingFunction::P	(	const double	z,
		const Energy2	t,
		const IdList &	ids,
		const bool	mass,
		const RhoDMatrix &	rho
	)		const

pure virtual

Methods to return the splitting function.

Purely virtual method which should return the exact value of the splitting function, $P$ evaluated in terms of the energy fraction, $z$, and the evolution scale $\tilde{q}^2$.

Parameters

z	The energy fraction.
t	The scale $t=2p_j\cdot p_k$.
ids	The PDG codes for the particles in the splitting.
mass	Whether or not to include the mass dependent terms
rho	The spin density matrix

Implemented in Herwig::ZeroZeroOneSplitFn, Herwig::CMWHalfHalfOneSplitFn, Herwig::CMWOneOneOneSplitFn, Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, and Herwig::OneOneZeroEWSplitFn.

◆ persistentInput()

void Herwig::SplittingFunction::persistentInput	(	PersistentIStream &	is,
		int	version
	)

Function used to read in object persistently.

Parameters

is	the persistent input stream read from.
version	the version number of the object when written.

◆ persistentOutput()

void Herwig::SplittingFunction::persistentOutput ( PersistentOStream & os ) const

Function used to write out object persistently.

Parameters

os	the persistent output stream written to.

◆ pTScale()

bool Herwig::SplittingFunction::pTScale ( ) const

inline

Scale choice.

Definition at line 267 of file SplittingFunction.h.

References angularOrdered_, and scaleChoice_.

◆ ratioP()

virtual double Herwig::SplittingFunction::ratioP	(	const double	z,
		const Energy2	t,
		const IdList &	ids,
		const bool	mass,
		const RhoDMatrix &	rho
	)		const

pure virtual

Purely virtual method which should return the ratio of the splitting function to the overestimate, i.e.

$P(z,\tilde{q}^2)/P_{\rm over}(z)$.

Parameters

z	The energy fraction.
t	The scale $t=2p_j\cdot p_k$.
ids	The PDG codes for the particles in the splitting.
mass	Whether or not to include the mass dependent terms
rho	The spin density matrix

Implemented in Herwig::ZeroZeroOneSplitFn, Herwig::CMWHalfHalfOneSplitFn, Herwig::CMWOneOneOneSplitFn, Herwig::HalfHalfOneEWSplitFn, Herwig::HalfHalfOneSplitFn, Herwig::HalfHalfZeroEWSplitFn, Herwig::HalfOneHalfSplitFn, Herwig::OneHalfHalfSplitFn, Herwig::OneOneOneEWSplitFn, Herwig::OneOneOneMassiveSplitFn, Herwig::OneOneOneQEDSplitFn, Herwig::OneOneOneSplitFn, and Herwig::OneOneZeroEWSplitFn.

Member Data Documentation

◆ _colourFactor

double Herwig::SplittingFunction::_colourFactor

private

The colour factor.

Definition at line 370 of file SplittingFunction.h.

Referenced by colourFactor().

◆ _colourStructure

ColourStructure Herwig::SplittingFunction::_colourStructure

private

The colour structure.

Definition at line 365 of file SplittingFunction.h.

Referenced by colourFactor(), and colourStructure().

◆ _interactionType

ShowerInteraction Herwig::SplittingFunction::_interactionType

private

The interaction type for the splitting function.

Definition at line 360 of file SplittingFunction.h.

Referenced by interactionType().

◆ angularOrdered_

bool Herwig::SplittingFunction::angularOrdered_

private

Whether or not this interaction is angular-ordered.

Definition at line 375 of file SplittingFunction.h.

Referenced by angularOrdered(), and pTScale().

◆ scaleChoice_

unsigned int Herwig::SplittingFunction::scaleChoice_

private

The choice of scale.

Definition at line 380 of file SplittingFunction.h.

Referenced by pTScale().

◆ strictAO_

bool Herwig::SplittingFunction::strictAO_

private

Enforce strict AO.

Definition at line 385 of file SplittingFunction.h.

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

SplittingFunction.h

z	The energy fraction
t	The scale \(t=2p_j\cdot p_k\).
ids	The PDG codes for the particles in the splitting.

Public Member Functions

Standard Interfaced functions.

Functions used by the persistent I/O system.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SplittingFunction()

Member Function Documentation

◆ accept()

◆ angularOrdered()

◆ colourConnection()

◆ colourFactor() [1/2]

◆ colourFactor() [2/2]

◆ colourStructure()

◆ doinit()

◆ evaluateFinalStateScales()

◆ generatePhiBackward()

◆ generatePhiForward()

◆ Init()

◆ integOverP()

◆ interactionType()

◆ invIntegOverP()

◆ matrixElement()

◆ operator=()

◆ overestimateP()

◆ P()

◆ persistentInput()

◆ persistentOutput()

◆ pTScale()

◆ ratioP()

Member Data Documentation

◆ _colourFactor

◆ _colourStructure

◆ _interactionType

◆ angularOrdered_

◆ scaleChoice_

◆ strictAO_