Functions
double	A (double k, double ji, double jf, double L1, double L2, double delta)

double	B (double k, double ji, double jf, double L1, double L2, double delta)

Double_t	Bateman (std::vector< Double_t > &dim, std::vector< Double_t > &par, UInt_t nChain=1, Double_t SecondsPerBin=1.0)

double	CalculateA2 (double j1, double j2, double j3, double l1a, double l1b, double l2a, double l2b, double delta1, double delta2)

double	CalculateA4 (double j1, double j2, double j3, double l1a, double l1b, double l2a, double l2b, double delta1, double delta2)

bool	CheckParameterErrors (const TFitResultPtr &fitres, std::string opt="")

double	ClebschGordan (double j1, double m1, double j2, double m2, double j, double m)

Double_t	ConvolutedDecay (Double_t x, Double_t par)

Double_t	ConvolutedDecay2 (Double_t x, Double_t par)

Double_t	CsIFitFunction (Double_t time, Double_t par)

Double_t	DeadTimeAffect (Double_t function, Double_t deadtime, Double_t binWidth=1.0)

Double_t	DeadTimeCorrect (Double_t *dim, Double_t deadtime, Double_t binWidth=1.0)

double	F (double k, double jf, double L1, double L2, double ji)

Double_t	Gaus (Double_t dim, Double_t par)

Double_t	LanGaus (Double_t x, Double_t pars)

Double_t	LanGausHighRes (Double_t x, Double_t pars)

Double_t	LegendrePolynomial (Double_t x, Double_t p)

Double_t	MultiGausWithBG (Double_t dim, Double_t par)

Double_t	MultiPhotoPeakBG (Double_t dim, Double_t par)

Double_t	MultiSkewedGausWithBG (Double_t dim, Double_t par)

Double_t	MultiSkewedGausWithBG2 (Double_t dim, Double_t par)

Double_t	PhotoEfficiency (Double_t dim, Double_t par)

Double_t	PhotoPeak (Double_t dim, Double_t par)

Double_t	PhotoPeakBG (Double_t dim, Double_t par)

Double_t	PolyBg (Double_t x, Double_t par, Int_t order)

double	RacahW (double a, double b, double c, double d, double e, double f)

Double_t	SkewedGaus (Double_t dim, Double_t par)

Double_t	SkewedGaus2 (Double_t x, Double_t par)

Double_t	StepBG (Double_t dim, Double_t par)

Double_t	StepFunction (Double_t dim, Double_t par)

Detailed Description

This namespace is where we store all of our commonly used functions. This makes it easier to create fits etc.

Function Documentation

◆ A()

double TGRSIFunctions::A	(	double	k,
		double	ji,
		double	jf,
		double	L1,
		double	L2,
		double	delta )

Definition at line 526 of file TGRSIFunctions.cxx.

References F().

Referenced by CalculateA2(), and CalculateA4().

◆ B()

double TGRSIFunctions::B	(	double	k,
		double	ji,
		double	jf,
		double	L1,
		double	L2,
		double	delta )

Definition at line 535 of file TGRSIFunctions.cxx.

References F().

Referenced by CalculateA2(), and CalculateA4().

◆ Bateman()

Double_t TGRSIFunctions::Bateman	(	std::vector< Double_t > &	dim,
		std::vector< Double_t > &	par,
		UInt_t	nChain = 1,
		Double_t	SecondsPerBin = 1.0 )

Definition at line 321 of file TGRSIFunctions.cxx.

◆ CalculateA2()

double TGRSIFunctions::CalculateA2	(	double	j1,
		double	j2,
		double	j3,
		double	l1a,
		double	l1b,
		double	l2a,
		double	l2b,
		double	delta1,
		double	delta2 )

Definition at line 543 of file TGRSIFunctions.cxx.

References A(), and B().

Referenced by MixingMethod().

◆ CalculateA4()

double TGRSIFunctions::CalculateA4	(	double	j1,
		double	j2,
		double	j3,
		double	l1a,
		double	l1b,
		double	l2a,
		double	l2b,
		double	delta1,
		double	delta2 )

Definition at line 548 of file TGRSIFunctions.cxx.

References A(), and B().

Referenced by MixingMethod().

◆ CheckParameterErrors()

bool TGRSIFunctions::CheckParameterErrors	(	const TFitResultPtr &	fitres,
		std::string	opt = "" )

This function compares the parameter error with the square root of the corresponding diagonal entry of the covariance matrix. If the difference between the two is larger than 0.1 (arbitrarily chosen cutoff), the check fails. Implemented options are "q" to be quiet (prints nothing), or "v" to be verbose (prints message not just for failed parameters but also ones that pass the test).

Definition at line 27 of file TGRSIFunctions.cxx.

References GREEN, RED, and RESET_COLOR.

Referenced by GPeak::Fit(), TPeak::Fit(), and TPeakFitter::Fit().

◆ ClebschGordan()

double TGRSIFunctions::ClebschGordan	(	double	j1,
		double	m1,
		double	j2,
		double	m2,
		double	j,
		double	m )

Definition at line 438 of file TGRSIFunctions.cxx.

Referenced by F().

◆ ConvolutedDecay()

Double_t TGRSIFunctions::ConvolutedDecay	(	Double_t *	x,
		Double_t *	par )

This function is derived from the convolution of a gaussian with an exponential decay, to fit TAC spectra of long half-lives (above 100 ps) Requires the following parameters:

par[0]: Normalization factor
par[1]: Centroid of gaussian
par[2]: Sigma of gaussian
par[3]: Lambda of the level

Definition at line 409 of file TGRSIFunctions.cxx.

◆ ConvolutedDecay2()

Double_t TGRSIFunctions::ConvolutedDecay2	(	Double_t *	x,
		Double_t *	par )

This function is the same as ConvolutedDecay but should be use when the lifetime has two different components. Requires the following parameters:

par[0]: Weight of lifetime-1
par[1]: Centroid of gaussian
par[2]: Width of gaussian
par[3]: Lambda of the level-1
par[4]: Weight of lifetime-2
par[5]: Lambda of the level-2

Definition at line 421 of file TGRSIFunctions.cxx.

◆ CsIFitFunction()

Double_t TGRSIFunctions::CsIFitFunction	(	Double_t *	time,
		Double_t *	par )

p[0]-p[4] are t0, tRC, tF, TS, TGamma p[5]-p[8] are baseline, AF, AS, AGamma

Definition at line 65 of file TGRSIFunctions.cxx.

Referenced by TPulseAnalyzer::DrawCsIFit().

◆ DeadTimeAffect()

Double_t TGRSIFunctions::DeadTimeAffect	(	Double_t	function,
		Double_t	deadtime,
		Double_t	binWidth = 1.0 )

Definition at line 378 of file TGRSIFunctions.cxx.

◆ DeadTimeCorrect()

Double_t TGRSIFunctions::DeadTimeCorrect	(	Double_t *	dim,
		Double_t	deadtime,
		Double_t	binWidth = 1.0 )

Definition at line 369 of file TGRSIFunctions.cxx.

◆ F()

double TGRSIFunctions::F	(	double	k,
		double	jf,
		double	L1,
		double	L2,
		double	ji )

Definition at line 511 of file TGRSIFunctions.cxx.

References ClebschGordan(), and RacahW().

Referenced by A(), and B().

◆ Gaus()

Double_t TGRSIFunctions::Gaus	(	Double_t *	dim,
		Double_t *	par )

This is a gaussian that has been scaled to match up with Radware photopeak results. It contains a scaling factor for the relative height of the skewed gaussian to the normal gaussian. Requires the following parameters:

dim[0]: channels being fit
par[0]: height of photopeak
par[1]: centroid of gaussian
par[2]: standard deviation of gaussian
par[4]: relative height of skewed gaus to gaus

Definition at line 149 of file TGRSIFunctions.cxx.

◆ LanGaus()

Double_t TGRSIFunctions::LanGaus	(	Double_t *	x,
		Double_t *	pars )

Definition at line 248 of file TGRSIFunctions.cxx.

◆ LanGausHighRes()

Double_t TGRSIFunctions::LanGausHighRes	(	Double_t *	x,
		Double_t *	pars )

Definition at line 277 of file TGRSIFunctions.cxx.

◆ LegendrePolynomial()

Double_t TGRSIFunctions::LegendrePolynomial	(	Double_t *	x,
		Double_t *	p )

Definition at line 387 of file TGRSIFunctions.cxx.

Referenced by A2a4Method().

◆ MultiGausWithBG()

Double_t TGRSIFunctions::MultiGausWithBG	(	Double_t *	dim,
		Double_t *	par )

Definition at line 300 of file TGRSIFunctions.cxx.

◆ MultiPhotoPeakBG()

Double_t TGRSIFunctions::MultiPhotoPeakBG	(	Double_t *	dim,
		Double_t *	par )

Definition at line 131 of file TGRSIFunctions.cxx.

◆ MultiSkewedGausWithBG()

Double_t TGRSIFunctions::MultiSkewedGausWithBG	(	Double_t *	dim,
		Double_t *	par )

Definition at line 195 of file TGRSIFunctions.cxx.

◆ MultiSkewedGausWithBG2()

Double_t TGRSIFunctions::MultiSkewedGausWithBG2	(	Double_t *	dim,
		Double_t *	par )

Definition at line 229 of file TGRSIFunctions.cxx.

References SkewedGaus2().

◆ PhotoEfficiency()

Double_t TGRSIFunctions::PhotoEfficiency	(	Double_t *	dim,
		Double_t *	par )

Definition at line 398 of file TGRSIFunctions.cxx.

◆ PhotoPeak()

Double_t TGRSIFunctions::PhotoPeak	(	Double_t *	dim,
		Double_t *	par )

Returns the combination of a TGRSIFunctions::Gaus + a TGRSIFunctions::SkewedGaus

Definition at line 117 of file TGRSIFunctions.cxx.

Referenced by TMultiPeak::MultiPhotoPeakBG(), and TMultiPeak::SinglePeakBG().

◆ PhotoPeakBG()

Double_t TGRSIFunctions::PhotoPeakBG	(	Double_t *	dim,
		Double_t *	par )

Returns a single RadWare style peak

Definition at line 123 of file TGRSIFunctions.cxx.

◆ PolyBg()

Double_t TGRSIFunctions::PolyBg	(	Double_t *	x,
		Double_t *	par,
		Int_t	order )

Polynomial function of the form SUM(par[i]*(x - shift)^i). The shift is done to match parameters with Radware output.

Definition at line 82 of file TGRSIFunctions.cxx.

Referenced by TMultiPeak::MultiPhotoPeakBG(), TMultiPeak::MultiStepBG(), and TMultiPeak::SinglePeakBG().

◆ RacahW()

double TGRSIFunctions::RacahW	(	double	a,
		double	b,
		double	c,
		double	d,
		double	e,
		double	f )

Definition at line 500 of file TGRSIFunctions.cxx.

Referenced by F().

◆ SkewedGaus()

Double_t TGRSIFunctions::SkewedGaus	(	Double_t *	dim,
		Double_t *	par )

This function uses the same parameters as the photopeak and gaussian. This is because in the photopeak, the shapes are correlated. Requires the following parameters:

dim[0]: channels being fit
par[0]: height of photopeak
par[1]: centroid of gaussian
par[2]: standard deviation of gaussian
par[3]: "skewedness" of the skewed gaussin
par[4]: relative height of skewed gaus to gaus

Definition at line 169 of file TGRSIFunctions.cxx.

◆ SkewedGaus2()

Double_t TGRSIFunctions::SkewedGaus2	(	Double_t *	x,
		Double_t *	par )

This function is derived from the convolution of a gaussian with an exponential Requires the following parameters:

par[0]: height of photopeak
par[1]: centroid of gaussian
par[2]: standard deviation of gaussian
par[3]: "skewedness" of the skewed gaussin

Definition at line 216 of file TGRSIFunctions.cxx.

Referenced by MultiSkewedGausWithBG2().

◆ StepBG()

Double_t TGRSIFunctions::StepBG	(	Double_t *	dim,
		Double_t *	par )

Definition at line 112 of file TGRSIFunctions.cxx.

Referenced by TPeak::TPeak().

◆ StepFunction()

Double_t TGRSIFunctions::StepFunction	(	Double_t *	dim,
		Double_t *	par )

This function uses the same parameters as the photopeak and gaussian. This is because in the photopeak, the shapes are correlated. Requires the following parameters:

dim[0]: channels being fit
par[0]: height of photopeak
par[1]: centroid of gaussian
par[2]: standard deviation of gaussian
par[5]: Size of the step in the step function

Definition at line 93 of file TGRSIFunctions.cxx.

Referenced by TMultiPeak::MultiPhotoPeakBG(), TMultiPeak::MultiStepBG(), and TMultiPeak::SinglePeakBG().