Class implementing the standard chi square function, which is the sum of the squares of the figures-of-merit calculated for each measurement point, the individual figures-of-merit being: (the Value predicted by the model-measured Value)/standard deviation.

Author: Andras Zsenei and Lorenzo Moneta, Creation date: 31 Aug 2004

See also: FumiliChi2FCN

Definition at line 43 of file FumiliStandardChi2FCN.h.

Public Member Functions
	FumiliStandardChi2FCN (const ParametricFunction &modelFCN, const std::vector< double > &meas, const std::vector< double > &pos, const std::vector< double > &mvar)
	Constructor which initializes chi square function for one-dimensional model function. More...

	FumiliStandardChi2FCN (const ParametricFunction &modelFCN, const std::vector< double > &meas, const std::vector< std::vector< double > > &pos, const std::vector< double > &mvar)
	Constructor which initializes the multi-dimensional model function. More...

	~FumiliStandardChi2FCN ()

std::vector< double >	Elements (const std::vector< double > &par) const
	Evaluates the model function for the different measurement points and the Parameter values supplied, calculates a figure-of-merit for each measurement and returns a vector containing the result of this evaluation. More...

virtual void	EvaluateAll (const std::vector< double > &par)
	Evaluate function Value, Gradient and Hessian using Fumili approximation, for values of parameters p The resul is cached inside and is return from the FumiliFCNBase::Value , FumiliFCNBase::Gradient and FumiliFCNBase::Hessian methods. More...

virtual const std::vector< double > &	GetMeasurement (int Index) const
	Accessor to the position of the measurement (x coordinate). More...

virtual int	GetNumberOfMeasurements () const
	Accessor to the number of measurements used for calculating the chi-square. More...

Public Member Functions inherited from ROOT::Minuit2::FumiliChi2FCN
	FumiliChi2FCN ()

virtual	~FumiliChi2FCN ()

virtual std::vector< double >	Elements (const std::vector< double > &par) const =0
	Evaluates the model function for the different measurement points and the Parameter values supplied, calculates a figure-of-merit for each measurement and returns a vector containing the result of this evaluation. More...

virtual const std::vector< double > &	GetMeasurement (int Index) const =0
	Accessor to the parameters of a given measurement. More...

virtual int	GetNumberOfMeasurements () const =0
	Accessor to the number of measurements used for calculating the present figure of merit. More...

const ParametricFunction *	ModelFunction () const
	Returns the model function used for the data. More...

double	operator() (const std::vector< double > &par) const
	Calculates the sum of Elements squared, ie the chi-square. More...

void	SetModelFunction (const ParametricFunction &modelFCN)
	Sets the model function for the data (for example gaussian+linear for a peak) More...

virtual double	Up () const
	!!!!!!!!!!!! to be commented More...

Public Member Functions inherited from ROOT::Minuit2::FumiliFCNBase
	FumiliFCNBase ()
	Default Constructor. More...

	FumiliFCNBase (unsigned int npar)
	Constructor which initializes the class with the function provided by the user for modeling the data. More...

virtual	~FumiliFCNBase ()

virtual unsigned int	Dimension ()
	return number of function variable (parameters) , i.e. More...

virtual void	EvaluateAll (const std::vector< double > &par)=0
	Evaluate function Value, Gradient and Hessian using Fumili approximation, for values of parameters p The resul is cached inside and is return from the FumiliFCNBase::Value , FumiliFCNBase::Gradient and FumiliFCNBase::Hessian methods. More...

virtual const std::vector< double > &	Gradient () const
	Return cached Value of function Gradient estimated previously using the FumiliFCNBase::EvaluateAll method. More...

virtual double	Hessian (unsigned int row, unsigned int col) const
	Return Value of the i-th j-th element of the Hessian matrix estimated previously using the FumiliFCNBase::EvaluateAll method. More...

virtual double	Value () const
	Return cached Value of objective function estimated previously using the FumiliFCNBase::EvaluateAll method. More...

Public Member Functions inherited from ROOT::Minuit2::FCNBase
virtual	~FCNBase ()

virtual double	ErrorDef () const
	Error definition of the function. More...

virtual double	operator() (const std::vector< double > &x) const =0
	The meaning of the vector of parameters is of course defined by the user, who uses the values of those parameters to calculate their function Value. More...

virtual void	SetErrorDef (double)
	add interface to set dynamically a new error definition Re-implement this function if needed. More...

virtual double	Up () const =0
	Error definition of the function. More...

Public Member Functions inherited from ROOT::Minuit2::GenericFunction
virtual	~GenericFunction ()

virtual double	operator() (const std::vector< double > &x) const =0
	Evaluates the function using the vector containing the input values. More...

Private Attributes
std::vector< double >	fInvErrors

std::vector< double >	fMeasurements

std::vector< std::vector< double > >	fPositions

Additional Inherited Members
Protected Member Functions inherited from ROOT::Minuit2::FumiliFCNBase
std::vector< double > &	Gradient ()

std::vector< double > &	Hessian ()

virtual void	InitAndReset (unsigned int npar)
	initialize and reset values of gradien and Hessian More...

void	SetFCNValue (double value)

#include <Minuit2/FumiliStandardChi2FCN.h>

Inheritance diagram for ROOT::Minuit2::FumiliStandardChi2FCN:

[legend]

Constructor & Destructor Documentation

◆ FumiliStandardChi2FCN() [1/2]

ROOT::Minuit2::FumiliStandardChi2FCN::FumiliStandardChi2FCN	(	const ParametricFunction &	modelFCN,
		const std::vector< double > &	meas,
		const std::vector< double > &	pos,
		const std::vector< double > &	mvar
	)

inline

Constructor which initializes chi square function for one-dimensional model function.

Parameters

modelFCN	the model function used for describing the data.
meas	vector containing the measured values.
pos	vector containing the x values corresponding to the measurements
mvar	vector containing the variances corresponding to each measurement (where the variance equals the standard deviation squared). If the variances are zero, a Value of 1 is used (as it is done in ROOT/PAW)

Definition at line 65 of file FumiliStandardChi2FCN.h.

◆ FumiliStandardChi2FCN() [2/2]

ROOT::Minuit2::FumiliStandardChi2FCN::FumiliStandardChi2FCN	(	const ParametricFunction &	modelFCN,
		const std::vector< double > &	meas,
		const std::vector< std::vector< double > > &	pos,
		const std::vector< double > &	mvar
	)

inline

Constructor which initializes the multi-dimensional model function.

Parameters

modelFCN	the model function used for describing the data.
meas	vector containing the measured values.
pos	vector containing the x values corresponding to the measurements
mvar	vector containing the variances corresponding to each measurement (where the variance equals the standard deviation squared). If the variances are zero, a Value of 1 is used (as it is done in ROOT/PAW)

Definition at line 110 of file FumiliStandardChi2FCN.h.

◆ ~FumiliStandardChi2FCN()

ROOT::Minuit2::FumiliStandardChi2FCN::~FumiliStandardChi2FCN ( )

inline

Definition at line 137 of file FumiliStandardChi2FCN.h.

Member Function Documentation

◆ Elements()

std::vector< double > ROOT::Minuit2::FumiliStandardChi2FCN::Elements ( const std::vector< double > & par ) const

virtual

Evaluates the model function for the different measurement points and the Parameter values supplied, calculates a figure-of-merit for each measurement and returns a vector containing the result of this evaluation.

The figure-of-merit is (Value predicted by the model function-measured Value)/standard deviation.

Parameters

par	vector of Parameter values to feed to the model function.

Returns: A vector containing the figures-of-merit for the model function evaluated for each set of measurements.

Implements ROOT::Minuit2::FumiliChi2FCN.

Definition at line 23 of file FumiliStandardChi2FCN.cxx.

◆ EvaluateAll()

void ROOT::Minuit2::FumiliStandardChi2FCN::EvaluateAll ( const std::vector< double > & par )

virtual

Evaluate function Value, Gradient and Hessian using Fumili approximation, for values of parameters p The resul is cached inside and is return from the FumiliFCNBase::Value , FumiliFCNBase::Gradient and FumiliFCNBase::Hessian methods.

Parameters

par	vector of parameters

Implements ROOT::Minuit2::FumiliFCNBase.

Definition at line 68 of file FumiliStandardChi2FCN.cxx.

◆ GetMeasurement()

const std::vector< double > & ROOT::Minuit2::FumiliStandardChi2FCN::GetMeasurement ( int Index ) const

virtual

Accessor to the position of the measurement (x coordinate).

Parameters

Index Index of the measuerement the position of which to return.

Returns: the position of the measurement.

Implements ROOT::Minuit2::FumiliChi2FCN.

Definition at line 53 of file FumiliStandardChi2FCN.cxx.

◆ GetNumberOfMeasurements()

int ROOT::Minuit2::FumiliStandardChi2FCN::GetNumberOfMeasurements ( ) const

virtual

Accessor to the number of measurements used for calculating the chi-square.

Returns: the number of measurements.

Implements ROOT::Minuit2::FumiliChi2FCN.

Definition at line 60 of file FumiliStandardChi2FCN.cxx.

Member Data Documentation

◆ fInvErrors

std::vector<double> ROOT::Minuit2::FumiliStandardChi2FCN::fInvErrors

private

Definition at line 208 of file FumiliStandardChi2FCN.h.

◆ fMeasurements

std::vector<double> ROOT::Minuit2::FumiliStandardChi2FCN::fMeasurements

private

Definition at line 205 of file FumiliStandardChi2FCN.h.

◆ fPositions

std::vector<std::vector<double> > ROOT::Minuit2::FumiliStandardChi2FCN::fPositions

private

Definition at line 207 of file FumiliStandardChi2FCN.h.

Libraries for ROOT::Minuit2::FumiliStandardChi2FCN:

[legend]

Public Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ FumiliStandardChi2FCN() [1/2]

◆ FumiliStandardChi2FCN() [2/2]

◆ ~FumiliStandardChi2FCN()

Member Function Documentation

◆ Elements()

◆ EvaluateAll()

◆ GetMeasurement()

◆ GetNumberOfMeasurements()

Member Data Documentation

◆ fInvErrors

◆ fMeasurements

◆ fPositions