Advanced 1-dimentional spectra fitting functions.

Author: Miroslav Morhac

The original code in C has been repackaged as a C++ class by R.Brun

The algorithms in this class have been published in the following references:

M. Morhac et al.: Efficient fitting algorithms applied to analysis of coincidence gamma-ray spectra. Computer Physics Communications, Vol 172/1 (2005) pp. 19-41.
M. Morhac et al.: Study of fitting algorithms applied to simultaneous analysis of large number of peaks in gamma-ray spectra. Applied Spectroscopy, Vol. 57, No. 7, pp. 753-760, 2003.

Definition at line 32 of file TSpectrumFit.h.

Public Types
enum	{ kFitOptimChiCounts =0, kFitOptimChiFuncValues =1, kFitOptimMaxLikelihood =2, kFitAlphaHalving =0, kFitAlphaOptimal =1, kFitPower2 =2, kFitPower4 =4, kFitPower6 =6, kFitPower8 =8, kFitPower10 =10, kFitPower12 =12, kFitTaylorOrderFirst =0, kFitTaylorOrderSecond =1, kFitNumRegulCycles =100 }

Public Types inherited from TObject
enum	EStatusBits { kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4), kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13) }

enum	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }

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

Public Member Functions
	TSpectrumFit (void)

	TSpectrumFit (Int_t numberPeaks)
	numberPeaks: number of fitted peaks (must be greater than zero) the constructor allocates arrays for all fitted parameters (peak positions, amplitudes etc) and sets the member variables to their default values. More...

virtual	~TSpectrumFit ()
	destructor More...

void	FitAwmi (Double_t *source)
	ONE-DIMENSIONAL FIT FUNCTION ALGORITHM WITHOUT MATRIX INVERSION This function fits the source spectrum. More...

void	FitStiefel (Double_t *source)
	ONE-DIMENSIONAL FIT FUNCTION ALGORITHM WITH MATRIX INVERSION (STIEFEL-HESTENS METHOD) This function fits the source spectrum. More...

Double_t *	GetAmplitudes () const

Double_t *	GetAmplitudesErrors () const

Double_t *	GetAreas () const

Double_t *	GetAreasErrors () const

void	GetBackgroundParameters (Double_t &a0, Double_t &a0Err, Double_t &a1, Double_t &a1Err, Double_t &a2, Double_t &a2Err)
	GETTER FUNCTION. More...

Double_t	GetChi () const

Double_t *	GetPositions () const

Double_t *	GetPositionsErrors () const

void	GetSigma (Double_t &sigma, Double_t &sigmaErr)
	GETTER FUNCTION. More...

void	GetTailParameters (Double_t &t, Double_t &tErr, Double_t &b, Double_t &bErr, Double_t &s, Double_t &sErr)
	GETTER FUNCTION. More...

void	SetBackgroundParameters (Double_t a0Init, Bool_t fixA0, Double_t a1Init, Bool_t fixA1, Double_t a2Init, Bool_t fixA2)
	SETTER FUNCTION. More...

void	SetFitParameters (Int_t xmin, Int_t xmax, Int_t numberIterations, Double_t alpha, Int_t statisticType, Int_t alphaOptim, Int_t power, Int_t fitTaylor)
	SETTER FUNCTION. More...

void	SetPeakParameters (Double_t sigma, Bool_t fixSigma, const Double_t positionInit, const Bool_t fixPosition, const Double_t ampInit, const Bool_t fixAmp)
	SETTER FUNCTION. More...

void	SetTailParameters (Double_t tInit, Bool_t fixT, Double_t bInit, Bool_t fixB, Double_t sInit, Bool_t fixS)
	SETTER FUNCTION. More...

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TString &name, const TString &title)

	TNamed (const TNamed &named)

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator. More...

virtual	~TNamed ()

virtual void	Clear (Option_t *option="")
	Set name and title to empty strings (""). More...

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

virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects. More...

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

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer. More...

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

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

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

virtual Bool_t	IsSortable () const

virtual void	SetName (const char *name)
	Change (i.e. More...

virtual void	SetNameTitle (const char name, const char title)
	Change (i.e. set) all the TNamed parameters (name and title). More...

virtual void	SetTitle (const char *title="")
	Change (i.e. set) the title of the TNamed. More...

virtual void	ls (Option_t *option="") const
	List TNamed name and title. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject. More...

Public Member Functions inherited from TObject
	TObject ()

	TObject (const TObject &object)
	TObject copy ctor. More...

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

virtual	~TObject ()
	TObject destructor. More...

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

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

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

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

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

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

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

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current pad. More...

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

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

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

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

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

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

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

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

virtual Option_t *	GetOption () const

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

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

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

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

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

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

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

Bool_t	IsOnHeap () const

Bool_t	IsZombie () const

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

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

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

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

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

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

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

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

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

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

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

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

void *	operator new (size_t sz)

void *	operator new[] (size_t sz)

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

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

void	operator delete (void *ptr)
	Operator delete. More...

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

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

void	SetBit (UInt_t f)

void	ResetBit (UInt_t f)

Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

void	InvertBit (UInt_t f)

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

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

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

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

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

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

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). More...

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

Protected Member Functions
Double_t	Area (Double_t a, Double_t sigma, Double_t t, Double_t b)
	AUXILIARY FUNCTION // // This function calculates area of a peak // Function parameters: // -a-amplitude of the peak // -sigma-sigma of peak // -t-relative amplitude // -b-slope // //. More...

Double_t	Dera1 (Double_t i)
	derivative of background according to a1 More...

Double_t	Dera2 (Double_t i)
	derivative of background according to a2 More...

Double_t	Deramp (Double_t i, Double_t i0, Double_t sigma, Double_t t, Double_t s, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of peak shape function (see manual) // according to amplitude of peak. More...

Double_t	Derb (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma, Double_t t, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to slope b. More...

Double_t	Derderi0 (Double_t i, Double_t amp, Double_t i0, Double_t sigma)
	AUXILIARY FUNCTION // // This function calculates second derivative of peak shape function // (see manual) according to peak position. More...

Double_t	Derdersigma (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma)
	AUXILIARY FUNCTION // // This function calculates second derivative of peaks shape function // (see manual) according to sigma of peaks. More...

Double_t	Derfc (Double_t x)
	AUXILIARY FUNCTION // // This function calculates derivative of error function of x. More...

Double_t	Deri0 (Double_t i, Double_t amp, Double_t i0, Double_t sigma, Double_t t, Double_t s, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of peak shape function (see manual) // according to peak position. More...

Double_t	Derpa (Double_t sigma, Double_t t, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to its amplitude. More...

Double_t	Derpb (Double_t a, Double_t sigma, Double_t t, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to b parameter. More...

Double_t	Derpsigma (Double_t a, Double_t t, Double_t b)

Double_t	Derpt (Double_t a, Double_t sigma, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to t parameter. More...

Double_t	Ders (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma)
	AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to relative amplitude s. More...

Double_t	Dersigma (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma, Double_t t, Double_t s, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to sigma of peaks. More...

Double_t	Dert (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma, Double_t b)
	AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to relative amplitude t. More...

Double_t	Erfc (Double_t x)

Double_t	Ourpowl (Double_t a, Int_t pw)
	power function More...

Double_t	Shape (Int_t num_of_fitted_peaks, Double_t i, const Double_t *parameter, Double_t sigma, Double_t t, Double_t s, Double_t b, Double_t a0, Double_t a1, Double_t a2)
	AUXILIARY FUNCTION // // This function calculates peaks shape function (see manual) // Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // -t, s-relative amplitudes // -b-slope // -a0, a1, a2- background coefficients // //. More...

void	StiefelInversion (Double_t **a, Int_t rozmer)
	AUXILIARY FUNCTION // // This function calculates solution of the system of linear equations. More...

Protected Member Functions inherited from TObject
void	MakeZombie ()

virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

Protected Attributes
Int_t	fNPeaks

Int_t	fNumberIterations

Int_t	fXmin

Int_t	fXmax

Int_t	fStatisticType

Int_t	fAlphaOptim

Int_t	fPower

Int_t	fFitTaylor

Double_t	fAlpha

Double_t	fChi

Double_t *	fPositionInit

Double_t *	fPositionCalc

Double_t *	fPositionErr

Double_t *	fAmpInit

Double_t *	fAmpCalc

Double_t *	fAmpErr

Double_t *	fArea

Double_t *	fAreaErr

Double_t	fSigmaInit

Double_t	fSigmaCalc

Double_t	fSigmaErr

Double_t	fTInit

Double_t	fTCalc

Double_t	fTErr

Double_t	fBInit

Double_t	fBCalc

Double_t	fBErr

Double_t	fSInit

Double_t	fSCalc

Double_t	fSErr

Double_t	fA0Init

Double_t	fA0Calc

Double_t	fA0Err

Double_t	fA1Init

Double_t	fA1Calc

Double_t	fA1Err

Double_t	fA2Init

Double_t	fA2Calc

Double_t	fA2Err

Bool_t *	fFixPosition

Bool_t *	fFixAmp

Bool_t	fFixSigma

Bool_t	fFixT

Bool_t	fFixB

Bool_t	fFixS

Bool_t	fFixA0

Bool_t	fFixA1

Bool_t	fFixA2

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Additional Inherited Members
Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

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

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

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

#include <TSpectrumFit.h>

Inheritance diagram for TSpectrumFit:

Collaboration diagram for TSpectrumFit:

Member Enumeration Documentation

anonymous enum

Enumerator
kFitOptimChiCounts
kFitOptimChiFuncValues
kFitOptimMaxLikelihood
kFitAlphaHalving
kFitAlphaOptimal
kFitPower2
kFitPower4
kFitPower6
kFitPower8
kFitPower10
kFitPower12
kFitTaylorOrderFirst
kFitTaylorOrderSecond
kFitNumRegulCycles

Definition at line 84 of file TSpectrumFit.h.

Constructor & Destructor Documentation

TSpectrumFit::TSpectrumFit ( void )

TSpectrumFit::TSpectrumFit ( Int_t numberPeaks )

numberPeaks: number of fitted peaks (must be greater than zero) the constructor allocates arrays for all fitted parameters (peak positions, amplitudes etc) and sets the member variables to their default values.

One can change these variables by member functions (setters) of TSpectrumFit class. Begin_Html

Definition at line 118 of file TSpectrumFit.cxx.

TSpectrumFit::~TSpectrumFit ( )

virtual

destructor

Definition at line 226 of file TSpectrumFit.cxx.

Member Function Documentation

Double_t TSpectrumFit::Area	(	Double_t	a,
		Double_t	sigma,
		Double_t	t,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates area of a peak // Function parameters: // -a-amplitude of the peak // -sigma-sigma of peak // -t-relative amplitude // -b-slope // //.

Definition at line 695 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Dera1 ( Double_t i )

protected

derivative of background according to a1

Definition at line 608 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Dera2 ( Double_t i )

protected

derivative of background according to a2

Definition at line 616 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Deramp	(	Double_t	i,
		Double_t	i0,
		Double_t	sigma,
		Double_t	t,
		Double_t	s,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peak shape function (see manual) // according to amplitude of peak.

// Function parameters: // -i-channel // -i0-position of peak // -sigma-sigma of peak // -t, s-relative amplitudes // -b-slope // //

Definition at line 310 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Derb	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma,
		Double_t	t,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to slope b.

// Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // -t-relative amplitude // -b-slope // //

Definition at line 579 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Derderi0	(	Double_t	i,
		Double_t	amp,
		Double_t	i0,
		Double_t	sigma
	)

protected

AUXILIARY FUNCTION // // This function calculates second derivative of peak shape function // (see manual) according to peak position.

// Function parameters: // -i-channel // -amp-amplitude of peak // -i0-position of peak // -sigma-width of peak // //

Definition at line 394 of file TSpectrumFit.cxx.

Referenced by FitAwmi().

Double_t TSpectrumFit::Derdersigma	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma
	)

protected

AUXILIARY FUNCTION // // This function calculates second derivative of peaks shape function // (see manual) according to sigma of peaks.

// Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // //

Definition at line 477 of file TSpectrumFit.cxx.

Referenced by FitAwmi().

Double_t TSpectrumFit::Derfc ( Double_t x )

protected

AUXILIARY FUNCTION // // This function calculates derivative of error function of x.

// //

Definition at line 276 of file TSpectrumFit.cxx.

Referenced by Derb(), Deri0(), and Dersigma().

Double_t TSpectrumFit::Deri0	(	Double_t	i,
		Double_t	amp,
		Double_t	i0,
		Double_t	sigma,
		Double_t	t,
		Double_t	s,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peak shape function (see manual) // according to peak position.

// Function parameters: // -i-channel // -amp-amplitude of peak // -i0-position of peak // -sigma-sigma of peak // -t, s-relative amplitudes // -b-slope // //

Definition at line 352 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Derpa	(	Double_t	sigma,
		Double_t	t,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to its amplitude.

// Function parameters: // -sigma-sigma of peak // -t-relative amplitudes // -b-slope // //

Definition at line 723 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Derpb	(	Double_t	a,
		Double_t	sigma,
		Double_t	t,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to b parameter.

// Function parameters: // -sigma-sigma of peak // -t-relative amplitudes // -b-slope // //

Definition at line 801 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::Derpsigma	(	Double_t	a,
		Double_t	t,
		Double_t	b
	)

protected

Definition at line 736 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::Derpt	(	Double_t	a,
		Double_t	sigma,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of the area of peak // according to t parameter.

// Function parameters: // -sigma-sigma of peak // -t-relative amplitudes // -b-slope // //

Definition at line 774 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::Ders	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to relative amplitude s.

// Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // //

Definition at line 548 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Dersigma	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma,
		Double_t	t,
		Double_t	s,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to sigma of peaks.

// Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // -t, s-relative amplitudes // -b-slope // //

Definition at line 427 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Dert	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma,
		Double_t	b
	)

protected

AUXILIARY FUNCTION // // This function calculates derivative of peaks shape function (see manual) // according to relative amplitude t.

// Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // -b-slope // //

Definition at line 515 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

Double_t TSpectrumFit::Erfc ( Double_t x )

protected

Definition at line 242 of file TSpectrumFit.cxx.

Referenced by Deramp(), Derb(), Derfc(), Deri0(), Ders(), Dersigma(), Dert(), and Shape().

void TSpectrumFit::FitAwmi ( Double_t * source )

ONE-DIMENSIONAL FIT FUNCTION ALGORITHM WITHOUT MATRIX INVERSION This function fits the source spectrum.

The calling program should fill in input parameters of the TSpectrumFit class The fitted parameters are written into TSpectrumFit class output parameters and fitted data are written into source spectrum.

Function parameters: source-pointer to the vector of source spectrum

Begin_Html

Definition at line 852 of file TSpectrumFit.cxx.

void TSpectrumFit::FitStiefel ( Double_t * source )

ONE-DIMENSIONAL FIT FUNCTION ALGORITHM WITH MATRIX INVERSION (STIEFEL-HESTENS METHOD) This function fits the source spectrum.

The calling program should fill in input parameters The fitted parameters are written into output parameters and fitted data are written into source spectrum.

Function parameters: source-pointer to the vector of source spectrum

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Definition at line 2317 of file TSpectrumFit.cxx.

Double_t* TSpectrumFit::GetAmplitudes ( ) const

inline

Definition at line 130 of file TSpectrumFit.h.

Double_t* TSpectrumFit::GetAmplitudesErrors ( ) const

inline

Definition at line 131 of file TSpectrumFit.h.

Double_t* TSpectrumFit::GetAreas ( ) const

inline

Definition at line 132 of file TSpectrumFit.h.

Double_t* TSpectrumFit::GetAreasErrors ( ) const

inline

Definition at line 133 of file TSpectrumFit.h.

void TSpectrumFit::GetBackgroundParameters	(	Double_t &	a0,
		Double_t &	a0Err,
		Double_t &	a1,
		Double_t &	a1Err,
		Double_t &	a2,
		Double_t &	a2Err
	)

GETTER FUNCTION.

This function gets the background parameters and their errors -a0 - gets the fitted value of a0 parameter -a0Err - gets error value of a0 parameter -a1 - gets the fitted value of a1 parameter -a1Err - gets error value of a1 parameter -a2 - gets the fitted value of a2 parameter -a2Err - gets error value of a2 parameter

Definition at line 3456 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::GetChi ( ) const

inline

Definition at line 135 of file TSpectrumFit.h.

Double_t* TSpectrumFit::GetPositions ( ) const

inline

Definition at line 136 of file TSpectrumFit.h.

Double_t* TSpectrumFit::GetPositionsErrors ( ) const

inline

Definition at line 137 of file TSpectrumFit.h.

void TSpectrumFit::GetSigma	(	Double_t &	sigma,
		Double_t &	sigmaErr
	)

GETTER FUNCTION.

This function gets the sigma parameter and its error -sigma - gets the fitted value of sigma parameter -sigmaErr - gets error value of sigma parameter

Definition at line 3437 of file TSpectrumFit.cxx.

void TSpectrumFit::GetTailParameters	(	Double_t &	t,
		Double_t &	tErr,
		Double_t &	b,
		Double_t &	bErr,
		Double_t &	s,
		Double_t &	sErr
	)

GETTER FUNCTION.

This function gets the tail parameters and their errors -t - gets the fitted value of t parameter -tErr - gets error value of t parameter -b - gets the fitted value of b parameter -bErr - gets error value of b parameter -s - gets the fitted value of s parameter -sErr - gets error value of s parameter

Definition at line 3479 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::Ourpowl	(	Double_t	a,
		Int_t	pw
	)

protected

power function

Definition at line 817 of file TSpectrumFit.cxx.

Referenced by FitAwmi().

void TSpectrumFit::SetBackgroundParameters	(	Double_t	a0Init,
		Bool_t	fixA0,
		Double_t	a1Init,
		Bool_t	fixA1,
		Double_t	a2Init,
		Bool_t	fixA2
	)

SETTER FUNCTION.

This function sets the following fitting parameters of background: -a0Init - initial value of a0 parameter (backgroud is estimated as a0+a1*x+a2*x*x) -fixA0 - logical value of a0 parameter, which allows to fix the parameter (not to fit) -a1Init - initial value of a1 parameter -fixA1 - logical value of a1 parameter, which allows to fix the parameter (not to fit) -a2Init - initial value of a2 parameter -fixA2 - logical value of a2 parameter, which allows to fix the parameter (not to fit)

Definition at line 3395 of file TSpectrumFit.cxx.

void TSpectrumFit::SetFitParameters	(	Int_t	xmin,
		Int_t	xmax,
		Int_t	numberIterations,
		Double_t	alpha,
		Int_t	statisticType,
		Int_t	alphaOptim,
		Int_t	power,
		Int_t	fitTaylor
	)

SETTER FUNCTION.

This function sets the following fitting parameters: -xmin, xmax - fitting region -numberIterations - # of desired iterations in the fit -alpha - convergence coefficient, it should be positive number and <=1, for details see references -statisticType - type of statistics, possible values kFitOptimChiCounts (chi square statistics with counts as weighting coefficients), kFitOptimChiFuncValues (chi square statistics with function values as weighting coefficients),kFitOptimMaxLikelihood -alphaOptim - optimization of convergence algorithm, possible values kFitAlphaHalving, kFitAlphaOptimal -power - possible values kFitPower2,4,6,8,10,12, for details see references. It applies only for Awmi fitting function. -fitTaylor - order of Taylor expansion, possible values kFitTaylorOrderFirst, kFitTaylorOrderSecond. It applies only for Awmi fitting function.

Definition at line 3304 of file TSpectrumFit.cxx.

void TSpectrumFit::SetPeakParameters	(	Double_t	sigma,
		Bool_t	fixSigma,
		const Double_t *	positionInit,
		const Bool_t *	fixPosition,
		const Double_t *	ampInit,
		const Bool_t *	fixAmp
	)

SETTER FUNCTION.

This function sets the following fitting parameters of peaks: -sigma - initial value of sigma parameter -fixSigma - logical value of sigma parameter, which allows to fix the parameter (not to fit) -positionInit - aray of initial values of peaks positions -fixPosition - array of logical values which allow to fix appropriate positions (not fit). However they are present in the estimated functional. -ampInit - aray of initial values of peaks amplitudes -fixAmp - aray of logical values which allow to fix appropriate amplitudes (not fit). However they are present in the estimated functional

Definition at line 3356 of file TSpectrumFit.cxx.

void TSpectrumFit::SetTailParameters	(	Double_t	tInit,
		Bool_t	fixT,
		Double_t	bInit,
		Bool_t	fixB,
		Double_t	sInit,
		Bool_t	fixS
	)

SETTER FUNCTION.

This function sets the following fitting parameters of tails of peaks -tInit - initial value of t parameter -fixT - logical value of t parameter, which allows to fix the parameter (not to fit) -bInit - initial value of b parameter -fixB - logical value of b parameter, which allows to fix the parameter (not to fit) -sInit - initial value of s parameter -fixS - logical value of s parameter, which allows to fix the parameter (not to fit)

Definition at line 3418 of file TSpectrumFit.cxx.

Double_t TSpectrumFit::Shape	(	Int_t	num_of_fitted_peaks,
		Double_t	i,
		const Double_t *	parameter,
		Double_t	sigma,
		Double_t	t,
		Double_t	s,
		Double_t	b,
		Double_t	a0,
		Double_t	a1,
		Double_t	a2
	)

protected

AUXILIARY FUNCTION // // This function calculates peaks shape function (see manual) // Function parameters: // -num_of_fitted_peaks-number of fitted peaks // -i-channel // -parameter-array of peaks parameters (amplitudes and positions) // -sigma-sigma of peak // -t, s-relative amplitudes // -b-slope // -a0, a1, a2- background coefficients // //.

Definition at line 637 of file TSpectrumFit.cxx.

Referenced by FitAwmi(), and FitStiefel().

void TSpectrumFit::StiefelInversion	(	Double_t **	a,
		Int_t	size
	)

protected

AUXILIARY FUNCTION // // This function calculates solution of the system of linear equations.

// The matrix a should have a dimension size*(size+4) // The calling function should fill in the matrix, the column size should // contain vector y (right side of the system of equations). The result is // placed into size+1 column of the matrix. // according to sigma of peaks. // Function parameters: // -a-matrix with dimension size*(size+4) // // -size-number of rows of the matrix // //

Definition at line 2253 of file TSpectrumFit.cxx.

Referenced by FitStiefel().