TUnuranContDist class describing one dimensional continuous distribution.

It is used by TUnuran to generate random numbers according to this distribution via TUnuran::Sample()

The class can be constructed from a function (TF1) representing the probability density function of the distribution. Optionally the derivative of the pdf can also be passed.

It provides a method to set the domain of the distribution ( SetDomain ) which will correspond to the range of the generated random numbers. By default the domain is (-inf, + inf), indipendently of the range set in the TF1 class used to construct the distribution.

In addition, some UNURAN methods requires extra information (cdf function, distribution mode, area of pdf, etc...). This information can as well be set. Some methods require instead of the pdf the log of the pdf. This can also be controlled by setting a flag when constructing this class.

Definition at line 48 of file TUnuranContDist.h.

Public Member Functions
	TUnuranContDist (const ROOT::Math::IGenFunction &pdf, const ROOT::Math::IGenFunction *dpdf=0, bool isLogPdf=false, bool copyFunc=false)
	Constructor as before but from a generic function object interface for one-dim functions.

	TUnuranContDist (const ROOT::Math::IGenFunction pdf, const ROOT::Math::IGenFunction dpdf, const ROOT::Math::IGenFunction *cdf, bool isLogPdf=false, bool copyFunc=false)
	Constructor as before from pointers to generic function object interface for one-dim functions which can be use for all algorithms including those requiring only the Cdf.

	TUnuranContDist (const TUnuranContDist &)
	Copy constructor.

	TUnuranContDist (TF1 pdf, TF1 deriv, TF1 *cdf, bool isLogPdf=false)
	Constructor as above but with the possibility to pass also the Cdf.

	TUnuranContDist (TF1 pdf=0, TF1 deriv=0, bool isLogPdf=false)
	Constructor from a TF1 objects specifying the pdf and optionally from another function representing the derivative of the pdf.

virtual	~TUnuranContDist ()
	Destructor.

double	Cdf (double x) const
	evaluate the integral (cdf) on the domain.

virtual TUnuranContDist *	Clone () const
	Clone (required by base class)

double	DPdf (double x) const
	evaluate the derivative of the pdf.

bool	GetDomain (double &xmin, double &xmax) const
	check if distribution has a defined domain and return in case its domain

bool	HasCdf () const
	check if a cdf function is provided for the distribution

bool	HasMode () const
	check if distribution has a pre-computed mode

bool	HasPdfArea () const
	check if distribution has a pre-computed area below the Pdf

bool	IsLogPdf () const
	flag to control if given function represent the log of a pdf

double	Mode () const
	return the mode (x location of maximum of the pdf)

TUnuranContDist &	operator= (const TUnuranContDist &rhs)
	Assignment operator.

double	Pdf (double x) const
	evaluate the Probability Density function.

double	PdfArea () const
	return area below the pdf

void	SetCdf (const ROOT::Math::IGenFunction &cdf)
	set cdf distribution using a generic function interface

void	SetCdf (TF1 *cdf)
	set cdf distribution.

void	SetDomain (double xmin, double xmax)
	Set the distribution domain.

void	SetMode (double mode)
	set the distribution mode (x position of its maximum)

void	SetPdfArea (double area)
	set the area below the pdf

Public Member Functions inherited from TUnuranBaseDist
virtual	~TUnuranBaseDist ()
	Destructor (no operations)

Private Attributes
double	fArea

const ROOT::Math::IGenFunction *	fCdf

const ROOT::Math::IGenFunction *	fDPdf

bool	fHasArea

bool	fHasDomain

bool	fHasMode

bool	fIsLogPdf

double	fMode

bool	fOwnFunc

const ROOT::Math::IGenFunction *	fPdf

double	fXmax

double	fXmin

#include <TUnuranContDist.h>

Inheritance diagram for TUnuranContDist:

[legend]

Constructor & Destructor Documentation

◆ TUnuranContDist() [1/5]

TUnuranContDist::TUnuranContDist	(	TF1 *	pdf = `0`,
		TF1 *	deriv = `0`,
		bool	isLogPdf = `false`
	)

explicit

Constructor from a TF1 objects specifying the pdf and optionally from another function representing the derivative of the pdf.

The flag isLogPdf can be used to pass instead of the pdf (and its derivative) the log (and the derivative of the log) of the pdf. By default the distribution has not domain set (it is defined between [-inf,+inf], no mode, no pdf area and no cdf explicity defined. UnuRan, if needed, can compute some of this quantities, but the user if they know them can set them in order to speed up the algorithm. For example in case of the Cdf, if the user has not set it, a numerical integration algorithm is used to estimate the Cdf from the Pdf.

Definition at line 64 of file TUnuranContDist.cxx.

◆ TUnuranContDist() [2/5]

TUnuranContDist::TUnuranContDist	(	TF1 *	pdf,
		TF1 *	deriv,
		TF1 *	cdf,
		bool	isLogPdf = `false`
	)

Constructor as above but with the possibility to pass also the Cdf.

In case an algorithm requiring only the Cdf (no Pdf), one can use this contructor passing nullptr for Pdf and derivative of the Pdf

Definition at line 46 of file TUnuranContDist.cxx.

◆ TUnuranContDist() [3/5]

TUnuranContDist::TUnuranContDist	(	const ROOT::Math::IGenFunction &	pdf,
		const ROOT::Math::IGenFunction *	dpdf = `0`,
		bool	isLogPdf = `false`,
		bool	copyFunc = `false`
	)

explicit

Constructor as before but from a generic function object interface for one-dim functions.

Definition at line 42 of file TUnuranContDist.cxx.

◆ TUnuranContDist() [4/5]

TUnuranContDist::TUnuranContDist	(	const ROOT::Math::IGenFunction *	pdf,
		const ROOT::Math::IGenFunction *	dpdf,
		const ROOT::Math::IGenFunction *	cdf,
		bool	isLogPdf = `false`,
		bool	copyFunc = `false`
	)

Constructor as before from pointers to generic function object interface for one-dim functions which can be use for all algorithms including those requiring only the Cdf.

Definition at line 25 of file TUnuranContDist.cxx.

◆ ~TUnuranContDist()

TUnuranContDist::~TUnuranContDist ( )

virtual

Destructor.

Definition at line 108 of file TUnuranContDist.cxx.

◆ TUnuranContDist() [5/5]

TUnuranContDist::TUnuranContDist ( const TUnuranContDist & rhs )

Copy constructor.

Definition at line 68 of file TUnuranContDist.cxx.

Member Function Documentation

◆ Cdf()

double TUnuranContDist::Cdf ( double x ) const

evaluate the integral (cdf) on the domain.

Used by Unuran algorithm

Definition at line 158 of file TUnuranContDist.cxx.

◆ Clone()

virtual TUnuranContDist * TUnuranContDist::Clone ( ) const

inlinevirtual

Clone (required by base class)

Implements TUnuranBaseDist.

Definition at line 99 of file TUnuranContDist.h.

◆ DPdf()

double TUnuranContDist::DPdf ( double x ) const

evaluate the derivative of the pdf.

Used by UnuRan

Definition at line 142 of file TUnuranContDist.cxx.

◆ GetDomain()

bool TUnuranContDist::GetDomain	(	double &	xmin,
		double &	xmax
	)		const

inline

check if distribution has a defined domain and return in case its domain

Definition at line 139 of file TUnuranContDist.h.

◆ HasCdf()

bool TUnuranContDist::HasCdf ( ) const

inline

check if a cdf function is provided for the distribution

Definition at line 148 of file TUnuranContDist.h.

◆ HasMode()

bool TUnuranContDist::HasMode ( ) const

inline

check if distribution has a pre-computed mode

Definition at line 153 of file TUnuranContDist.h.

◆ HasPdfArea()

bool TUnuranContDist::HasPdfArea ( ) const

inline

check if distribution has a pre-computed area below the Pdf

Definition at line 159 of file TUnuranContDist.h.

◆ IsLogPdf()

bool TUnuranContDist::IsLogPdf ( ) const

inline

flag to control if given function represent the log of a pdf

Definition at line 175 of file TUnuranContDist.h.

◆ Mode()

double TUnuranContDist::Mode ( ) const

inline

return the mode (x location of maximum of the pdf)

Definition at line 164 of file TUnuranContDist.h.

◆ operator=()

TUnuranContDist & TUnuranContDist::operator= ( const TUnuranContDist & rhs )

Assignment operator.

Definition at line 78 of file TUnuranContDist.cxx.

◆ Pdf()

double TUnuranContDist::Pdf ( double x ) const

evaluate the Probability Density function.

Used by the UnuRan algorithms

Definition at line 137 of file TUnuranContDist.cxx.

◆ PdfArea()

double TUnuranContDist::PdfArea ( ) const

inline

return area below the pdf

Definition at line 169 of file TUnuranContDist.h.

◆ SetCdf() [1/2]

void TUnuranContDist::SetCdf ( const ROOT::Math::IGenFunction & cdf )

set cdf distribution using a generic function interface

Definition at line 117 of file TUnuranContDist.cxx.

◆ SetCdf() [2/2]

void TUnuranContDist::SetCdf ( TF1 * cdf )

set cdf distribution.

If a method requires it and is not set it is then estimated using numerical integration from the pdf

Definition at line 123 of file TUnuranContDist.cxx.

◆ SetDomain()

void TUnuranContDist::SetDomain	(	double	xmin,
		double	xmax
	)

inline

Set the distribution domain.

If min < max a domain is defined otherwise is undefined

Definition at line 117 of file TUnuranContDist.h.

◆ SetMode()

void TUnuranContDist::SetMode ( double mode )

inline

set the distribution mode (x position of its maximum)

Definition at line 129 of file TUnuranContDist.h.

◆ SetPdfArea()

void TUnuranContDist::SetPdfArea ( double area )

inline

set the area below the pdf

Definition at line 134 of file TUnuranContDist.h.

Member Data Documentation

◆ fArea

double TUnuranContDist::fArea

private

Definition at line 206 of file TUnuranContDist.h.

◆ fCdf

const ROOT::Math::IGenFunction* TUnuranContDist::fCdf

private

Definition at line 201 of file TUnuranContDist.h.

◆ fDPdf

const ROOT::Math::IGenFunction* TUnuranContDist::fDPdf

private

Definition at line 200 of file TUnuranContDist.h.

◆ fHasArea

bool TUnuranContDist::fHasArea

private

Definition at line 212 of file TUnuranContDist.h.

◆ fHasDomain

bool TUnuranContDist::fHasDomain

private

Definition at line 210 of file TUnuranContDist.h.

◆ fHasMode

bool TUnuranContDist::fHasMode

private

Definition at line 211 of file TUnuranContDist.h.

◆ fIsLogPdf

bool TUnuranContDist::fIsLogPdf

private

Definition at line 209 of file TUnuranContDist.h.

◆ fMode

double TUnuranContDist::fMode

private

Definition at line 205 of file TUnuranContDist.h.

◆ fOwnFunc

bool TUnuranContDist::fOwnFunc

private

Definition at line 213 of file TUnuranContDist.h.

◆ fPdf

const ROOT::Math::IGenFunction* TUnuranContDist::fPdf

private

Definition at line 199 of file TUnuranContDist.h.

◆ fXmax

double TUnuranContDist::fXmax

private

Definition at line 204 of file TUnuranContDist.h.

◆ fXmin

double TUnuranContDist::fXmin

private

Definition at line 203 of file TUnuranContDist.h.

Libraries for TUnuranContDist:

[legend]

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

math/unuran/inc/TUnuranContDist.h
math/unuran/src/TUnuranContDist.cxx

Public Member Functions

Private Attributes

Constructor & Destructor Documentation

◆ TUnuranContDist() [1/5]

◆ TUnuranContDist() [2/5]

◆ TUnuranContDist() [3/5]

◆ TUnuranContDist() [4/5]

◆ ~TUnuranContDist()

◆ TUnuranContDist() [5/5]

Member Function Documentation

◆ Cdf()

◆ Clone()

◆ DPdf()

◆ GetDomain()

◆ HasCdf()

◆ HasMode()

◆ HasPdfArea()

◆ IsLogPdf()

◆ Mode()

◆ operator=()

◆ Pdf()

◆ PdfArea()

◆ SetCdf() [1/2]

◆ SetCdf() [2/2]

◆ SetDomain()

◆ SetMode()

◆ SetPdfArea()

Member Data Documentation

◆ fArea

◆ fCdf

◆ fDPdf

◆ fHasArea

◆ fHasDomain

◆ fHasMode

◆ fIsLogPdf

◆ fMode

◆ fOwnFunc

◆ fPdf

◆ fXmax

◆ fXmin