RooAdaptiveGaussKronrodIntegrator1D implements the Gauss-Kronrod integration algorithm.

An adaptive Gaussian quadrature method for numerical integration in which error is estimated based on evaluation at special points known as the "Kronrod points". By suitably picking these points, abscissas from previous iterations can be reused as part of the new set of points, whereas usual Gaussian quadrature would require recomputation of all abscissas at each iteration.

This class automatically handles (-inf,+inf) integrals by dividing the integration in three regions (-inf,-1), (-1,1), (1,inf) and calculating the 1st and 3rd term using a \( x \rightarrow 1/x \) coordinate transformation.

This class embeds the adaptive Gauss-Kronrod integrator from the GNU Scientific Library version 1.5 and applies a chosen rule ( 10-, 21-, 31-, 41, 51- or 61-point). The integration domain is subdivided and recursively integrated until the required precision is reached.

For integrands with integrable singularities the Wynn epsilon rule can be selected to speed up the convergence of these integrals.

Definition at line 24 of file RooAdaptiveGaussKronrodIntegrator1D.h.

Public Member Functions
	RooAdaptiveGaussKronrodIntegrator1D (const RooAbsFunc &function, const RooNumIntConfig &config)
	Constructor taking a function binding and a configuration object.

	RooAdaptiveGaussKronrodIntegrator1D (const RooAbsFunc &function, double xmin, double xmax, const RooNumIntConfig &config)
	Constructor taking a function binding, an integration range and a configuration object.

	~RooAdaptiveGaussKronrodIntegrator1D () override
	Destructor.

bool	checkLimits () const override
	Check that our integration range is finite and otherwise return false.

double	integral (const double *yvec=nullptr) override
	Calculate and return integral at at given parameter values.

TClass *	IsA () const override

virtual bool	setLimits (double , double )

bool	setLimits (double xmin, double xmax) override
	Change our integration limits.

virtual bool	setLimits (double xmin, double xmax)
	Interface to set limits on integration.

bool	setUseIntegrandLimits (bool flag) override
	Interface function that allows to defer limit definition to integrand definition.

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from RooAbsIntegrator
	RooAbsIntegrator ()

	RooAbsIntegrator (const RooAbsFunc &function, bool printEvalCounter=false)
	Copy constructor.

double	calculate (const double *yvec=nullptr)
	Calculate integral value with given array of parameter values.

const RooAbsFunc *	integrand () const
	Return integrand function binding.

double	integrand (const double x[]) const
	Return value of integrand at given observable values.

bool	isValid () const
	Is integrator in valid state.

bool	printEvalCounter () const

void	setPrintEvalCounter (bool value)

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor.

	TObject (const TObject &object)
	TObject copy ctor.

virtual	~TObject ()
	TObject destructor.

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract.

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad.

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action.

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object.

virtual const char *	ClassName () const
	Returns name of class to which the object belongs.

virtual void	Clear (Option_t *="")

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility.

virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method.

virtual void	Copy (TObject &object) const
	Copy this to obj.

virtual void	Delete (Option_t *option="")
	Delete this object.

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object.

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects.

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs.

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

virtual void	Dump () const
	Dump contents of object on stdout.

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message.

virtual void	Execute (const char method, const char params, Int_t *error=nullptr)
	Execute method on this object with the given parameter string, e.g.

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=nullptr)
	Execute method on this object with parameters stored in the TObjArray.

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py).

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message.

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes.

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes.

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object.

virtual const char *	GetIconName () const
	Returns mime type name of object.

virtual const char *	GetName () const
	Returns name of object.

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py).

virtual Option_t *	GetOption () const

virtual const char *	GetTitle () const
	Returns title of object.

virtual UInt_t	GetUniqueID () const
	Return the unique object id.

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out.

virtual ULong_t	Hash () const
	Return hash value for this object.

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e.

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message.

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname".

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl.

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas.

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const
	IsDestructed.

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory).

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout.

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary).

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification (the base implementation is no-op).

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete.

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

void	operator delete[] (void *ptr)
	Operator delete [].

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator.

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself.

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list.

virtual void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself.

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory.

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list.

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename.

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out".

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f.

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object.

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message.

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory.

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()
	Upper integration bound.

static const char *	DeclFileName ()

Static Public Member Functions inherited from RooAbsIntegrator
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()
	Return destructor only flag.

static Bool_t	GetObjectStat ()
	Get status of object stat flag.

static void	SetDtorOnly (void *obj)
	Set destructor only flag.

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable.

Protected Types
enum	DomainType { Closed , OpenLo , OpenHi , Open }

Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

Protected Member Functions
bool	initialize ()
	Initialize integrator allocate buffers and setup GSL workspace.

double *	xvec (double &xx)

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected).

void	MakeZombie ()

Static Protected Member Functions
static void	registerIntegrator (RooNumIntFactory &fact)
	Register this class with RooNumIntConfig as a possible choice of numeric integrator for one-dimensional integrals over finite and infinite domains.

Protected Attributes
DomainType	_domainType

double	_epsAbs
	Current coordinate.

double	_epsRel

Int_t	_maxSeg

Int_t	_methodKey

bool	_useIntegrandLimits

void *	_workspace = nullptr

std::vector< double >	_x

double	_xmax
	Lower integration bound.

double	_xmin

Protected Attributes inherited from RooAbsIntegrator
const RooAbsFunc *	_function = nullptr
	Pointer to function binding of integrand.

bool	_printEvalCounter = false
	If true print number of function evaluation required for integration.

bool	_valid = false
	Is integrator in valid state?

Friends
double	RooAdaptiveGaussKronrodIntegrator1D_GSL_GlueFunction (double x, void *data)
	Glue function interacing to GSL code.

class	RooNumIntFactory

Additional Inherited Members
Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) }

enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum	EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }

#include <RooAdaptiveGaussKronrodIntegrator1D.h>

Inheritance diagram for RooAdaptiveGaussKronrodIntegrator1D:

[legend]

Member Enumeration Documentation

◆ DomainType

enum RooAdaptiveGaussKronrodIntegrator1D::DomainType

protected

Enumerator
Closed
OpenLo
OpenHi
Open

Definition at line 48 of file RooAdaptiveGaussKronrodIntegrator1D.h.

Constructor & Destructor Documentation

◆ RooAdaptiveGaussKronrodIntegrator1D() [1/2]

RooAdaptiveGaussKronrodIntegrator1D::RooAdaptiveGaussKronrodIntegrator1D	(	const RooAbsFunc &	function,
		const RooNumIntConfig &	config
	)

Constructor taking a function binding and a configuration object.

Definition at line 189 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ RooAdaptiveGaussKronrodIntegrator1D() [2/2]

RooAdaptiveGaussKronrodIntegrator1D::RooAdaptiveGaussKronrodIntegrator1D	(	const RooAbsFunc &	function,
		double	xmin,
		double	xmax,
		const RooNumIntConfig &	config
	)

Constructor taking a function binding, an integration range and a configuration object.

Definition at line 209 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ ~RooAdaptiveGaussKronrodIntegrator1D()

RooAdaptiveGaussKronrodIntegrator1D::~RooAdaptiveGaussKronrodIntegrator1D ( )

override

Destructor.

Definition at line 245 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

Member Function Documentation

◆ checkLimits()

bool RooAdaptiveGaussKronrodIntegrator1D::checkLimits ( ) const

overridevirtual

Check that our integration range is finite and otherwise return false.

Update the limits from the integrand if requested.

Reimplemented from RooAbsIntegrator.

Definition at line 277 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ Class()

static TClass * RooAdaptiveGaussKronrodIntegrator1D::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * RooAdaptiveGaussKronrodIntegrator1D::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t RooAdaptiveGaussKronrodIntegrator1D::Class_Version ( )

inlinestaticconstexpr

Upper integration bound.

Returns: Version of this class

Definition at line 72 of file RooAdaptiveGaussKronrodIntegrator1D.h.

◆ DeclFileName()

static const char * RooAdaptiveGaussKronrodIntegrator1D::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 72 of file RooAdaptiveGaussKronrodIntegrator1D.h.

◆ initialize()

bool RooAdaptiveGaussKronrodIntegrator1D::initialize ( )

protected

Initialize integrator allocate buffers and setup GSL workspace.

Definition at line 231 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ integral()

double RooAdaptiveGaussKronrodIntegrator1D::integral ( const double * yvec = nullptr )

overridevirtual

Calculate and return integral at at given parameter values.

Implements RooAbsIntegrator.

Definition at line 319 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ IsA()

TClass * RooAdaptiveGaussKronrodIntegrator1D::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from RooAbsIntegrator.

Definition at line 72 of file RooAdaptiveGaussKronrodIntegrator1D.h.

◆ registerIntegrator()

void RooAdaptiveGaussKronrodIntegrator1D::registerIntegrator ( RooNumIntFactory & fact )

staticprotected

Register this class with RooNumIntConfig as a possible choice of numeric integrator for one-dimensional integrals over finite and infinite domains.

Definition at line 159 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.

◆ setLimits() [1/3]

virtual bool RooAbsIntegrator::setLimits	(	double *	,
		double *
	)

inlinevirtual

Reimplemented from RooAbsIntegrator.

Definition at line 53 of file RooAbsIntegrator.h.

◆ setLimits() [2/3]

bool RooAdaptiveGaussKronrodIntegrator1D::setLimits	(	double *	xmin,
		double *	xmax
	)

overridevirtual

Change our integration limits.

Return true if the new limits are ok, or otherwise false. Always returns false and does nothing if this object was constructed to always use our integrand's limits.

Reimplemented from RooAbsIntegrator.

Definition at line 259 of file RooAdaptiveGaussKronrodIntegrator1D.cxx.