The class calculates the space point distortions due to z offsets of the. More...

#include <AliTPCROCVoltError3D.h>

Inheritance diagram for AliTPCROCVoltError3D:

Public Member Functions
	AliTPCROCVoltError3D ()

virtual	~AliTPCROCVoltError3D ()

virtual Bool_t	AddCorrectionCompact (AliTPCCorrection *corr, Double_t weight)

virtual void	Init ()

virtual void	Update (const TTimeStamp &timeStamp)

virtual void	SetOmegaTauT1T2 (Float_t omegaTau, Float_t t1, Float_t t2)

void	SetC0C1 (Float_t c0, Float_t c1)

Float_t	GetC0 () const

Float_t	GetC1 () const

void	SetROCData (TMatrixD *matrix)

void	SetROCDataFileName (const char *fname)

const Char_t *	GetROCDataFileName () const

void	SetROCDisplacement (Bool_t flag)

Bool_t	GetROCDisplacement () const

void	SetElectronArrivalCorrection (Bool_t flag)

Bool_t	GetElectronArrivalCorrection () const

void	InitROCVoltError3D ()

void	ForceInitROCVoltError3D ()

Float_t	GetROCVoltOffset (Int_t side, Float_t r0, Float_t phi0)

TH2F *	CreateHistoOfZAlignment (Int_t side, Int_t nx=250, Int_t ny=250)

virtual void	Print (const Option_t *option="") const

TMatrixD *	GetMatrix () const

Public Member Functions inherited from AliTPCCorrection
	AliTPCCorrection ()

	AliTPCCorrection (const char name, const char title)

virtual	~AliTPCCorrection ()

void	CorrectPoint (Float_t x[], Short_t roc)

void	CorrectPointLocal (Float_t x[], Short_t roc)

void	CorrectPoint (const Float_t x[], Short_t roc, Float_t xp[])

virtual void	GetCorrectionDz (const Float_t x[], Short_t roc, Float_t dx[], Float_t delta)

virtual void	GetCorrectionIntegralDz (const Float_t x[], Short_t roc, Float_t dx[], Float_t delta)

void	DistortPoint (Float_t x[], Short_t roc)

void	DistortPointLocal (Float_t x[], Short_t roc)

void	DistortPoint (const Float_t x[], Short_t roc, Float_t xp[])

virtual void	GetDistortion (const Float_t x[], Short_t roc, Float_t dx[])

virtual void	GetDistortionDz (const Float_t x[], Short_t roc, Float_t dx[], Float_t delta)

virtual void	GetDistortionIntegralDz (const Float_t x[], Short_t roc, Float_t dx[], Float_t delta)

virtual void	SetCorrScaleFactor (Float_t)

virtual Float_t	GetCorrScaleFactor () const

virtual void	Print (Option_t *option="") const

TH2F *	CreateHistoDRinXY (Float_t z=10., Int_t nx=100, Int_t ny=100)

TH2F *	CreateHistoDRPhiinXY (Float_t z=10., Int_t nx=100, Int_t nphi=100)

TH2F *	CreateHistoDZinXY (Float_t z=10., Int_t nx=100, Int_t ny=100)

TH2F *	CreateHistoDRinZR (Float_t phi=0., Int_t nZ=100, Int_t nR=100)

TH2F *	CreateHistoDRPhiinZR (Float_t phi=0., Int_t nZ=100, Int_t nR=100)

TH2F *	CreateHistoDZinZR (Float_t phi=0., Int_t nZ=100, Int_t nR=100)

TTree *	CreateDistortionTree (Double_t step=5)

AliExternalTrackParam *	FitDistortedTrack (AliExternalTrackParam &trackIn, Double_t refX, Int_t dir, TTreeSRedirector *pcstream)

void	StoreInOCDB (Int_t startRun, Int_t endRun, const char *comment=0)

void	FastSimDistortedVertex (Double_t orgVertex[3], Int_t nTracks, AliESDVertex &aV, AliESDVertex &avOrg, AliESDVertex &cV, AliESDVertex &cvOrg, TTreeSRedirector *const pcstream, Double_t etaCuts)

Protected Member Functions
virtual void	GetCorrection (const Float_t x[], const Short_t roc, Float_t dx[])

Protected Member Functions inherited from AliTPCCorrection
TH2F *	CreateTH2F (const char name, const char title, const char xlabel, const char ylabel, const char *zlabel, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup)

void	Interpolate2DEdistortion (Int_t order, Double_t r, Double_t z, const Double_t er[kNZ][kNR], Double_t &erValue)

void	Interpolate3DEdistortion (Int_t order, Double_t r, Float_t phi, Double_t z, const Double_t er[kNZ][kNPhi][kNR], const Double_t ephi[kNZ][kNPhi][kNR], const Double_t ez[kNZ][kNPhi][kNR], Double_t &erValue, Double_t &ephiValue, Double_t &ezValue)

Double_t	Interpolate2DTable (Int_t order, Double_t x, Double_t y, Int_t nx, Int_t ny, const Double_t xv[], const Double_t yv[], const TMatrixD &array)

Double_t	Interpolate3DTable (Int_t order, Double_t x, Double_t y, Double_t z, Int_t nx, Int_t ny, Int_t nz, const Double_t xv[], const Double_t yv[], const Double_t zv[], TMatrixD **arrayofArrays)

Double_t	Interpolate (const Double_t xArray[], const Double_t yArray[], Int_t order, Double_t x)

void	Search (Int_t n, const Double_t xArray[], Double_t x, Int_t &low)

Float_t	Interpolate2DTable (Int_t order, Double_t x, Double_t y, Int_t nx, Int_t ny, const Double_t xv[], const Double_t yv[], const TMatrixF &array)

Float_t	Interpolate3DTable (Int_t order, Double_t x, Double_t y, Double_t z, Int_t nx, Int_t ny, Int_t nz, const Double_t xv[], const Double_t yv[], const Double_t zv[], TMatrixF **arrayofArrays)

Float_t	Interpolate (const Double_t xArray[], const Float_t yArray[], Int_t order, Double_t x)

virtual Int_t	IsPowerOfTwo (Int_t i) const

void	PoissonRelaxation2D (TMatrixD &arrayV, TMatrixD &chargeDensity, TMatrixD &arrayErOverEz, TMatrixD &arrayDeltaEz, Int_t rows, Int_t columns, Int_t iterations, Bool_t rocDisplacement=kTRUE)

void	PoissonRelaxation3D (TMatrixD arrayofArrayV, TMatrixD arrayofChargeDensities, TMatrixD arrayofEroverEz, TMatrixD arrayofEPhioverEz, TMatrixD **arrayofEz, Int_t rows, Int_t columns, Int_t phislices, Float_t deltaphi, Int_t iterations, Int_t summetry, Bool_t rocDisplacement=kTRUE)

void	SetIsLocal (Bool_t isLocal)

Bool_t	IsLocal () const

Private Types
enum	{ kRows =257 }

enum	{ kColumns =129 }

enum	{ kPhiSlicesPerSector =10 }

enum	{ kPhiSlices = 18*kPhiSlicesPerSector }

enum	{ kIterations =100 }

Private Member Functions
	AliTPCROCVoltError3D (const AliTPCROCVoltError3D &)

AliTPCROCVoltError3D &	operator= (const AliTPCROCVoltError3D &)

Private Attributes
Float_t	fC0
	coefficient C0 (compare Jim Thomas's notes for definitions) More...

Float_t	fC1
	coefficient C1 (compare Jim Thomas's notes for definitions) More...

Bool_t	fROCdisplacement
	flag on wheter to consider the ROC displacement More...

Bool_t	fElectronArrivalCorrection
	flag on wheter to consider the difference More...

Bool_t	fInitLookUp
	flag to check it the Look Up table was created (SUM) More...

TMatrixF *	fLookUpErOverEz [kNPhi]
	Array to store electric field integral (int Er/Ez) More...

TMatrixF *	fLookUpEphiOverEz [kNPhi]
	Array to store electric field integral (int Er/Ez) More...

TMatrixF *	fLookUpDeltaEz [kNPhi]
	Array to store electric field integral (int Er/Ez) More...

TString	fROCDataFileName
	filename of the survey data containing the lin Fit values More...

TMatrixD *	fdzDataLinFit
	Linear fits of dz survey points (each sector=72) (z0,slopeX,slopeY) More...

Additional Inherited Members
Public Types inherited from AliTPCCorrection
enum	CompositionType { kParallel, kQueue }

Static Public Member Functions inherited from AliTPCCorrection
static void	MakeDistortionMap (THnSparse his0, TTreeSRedirector pcstream, const char *hname, Int_t run, Float_t refX, Int_t type, Int_t integ=1)

static void	MakeDistortionMapCosmic (THnSparse his0, TTreeSRedirector pcstream, const char *hname, Int_t run, Float_t refX, Int_t type)

static void	MakeDistortionMapSector (THnSparse his0, TTreeSRedirector pcstream, const char *hname, Int_t run, Int_t type)

static void	MakeTrackDistortionTree (TTree tinput, Int_t dtype, Int_t ptype, const TObjArray corrArray, Int_t step=1, Int_t offset=0, Bool_t debug=0)

static void	MakeSectorDistortionTree (TTree tinput, Int_t dtype, Int_t ptype, const TObjArray corrArray, Int_t step=1, Int_t offset=0, Bool_t debug=0)

static void	MakeLaserDistortionTreeOld (TTree tree, TObjArray corrArray, Int_t itype)

static void	MakeLaserDistortionTree (TTree tree, TObjArray corrArray, Int_t itype)

static void	AddVisualCorrection (AliTPCCorrection *corr, Int_t position)

static AliTPCCorrection *	GetVisualCorrection (Int_t position)

static AliTPCCorrection *	GetVisualCorrection (const char *corName)

static TObjArray *	GetVisualCorrections ()

static Double_t	GetCorrSector (Double_t sector, Double_t r, Double_t kZ, Int_t axisType, Int_t corrType=0)

static Double_t	GetCorrXYZ (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0)

static Double_t	GetCorrXYZDz (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0, Double_t delta=5)

static Double_t	GetCorrXYZIntegrateZ (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0, Double_t delta=5)

static Double_t	GetDistXYZ (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0)

static Double_t	GetDistXYZDz (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0, Double_t delta=5)

static Double_t	GetDistXYZIntegrateZ (Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType=0, Double_t delta=5)

Protected Types inherited from AliTPCCorrection
enum	{ kNR = 72 }

enum	{ kNPhi = 18*10+1 }

enum	{ kNZ = 166 }

Protected Attributes inherited from AliTPCCorrection
Double_t	fgkRList [kNR]
	points in the radial direction (for the lookup table) More...

Double_t	fgkPhiList [kNPhi]
	points in the phi direction (for the lookup table) More...

Double_t	fgkZList [kNZ]
	points in the z direction (for the lookup table) More...

Int_t	fILow

Int_t	fJLow

Int_t	fKLow
	variable to help in the interpolation More...

Double_t	fT1
	tensor term of wt - T1 More...

Double_t	fT2
	tensor term of wt - T2 More...

Bool_t	fIsLocal
	switch to indicate that the distortion is a local vector drphi/dz, dr/dz More...

Static Protected Attributes inherited from AliTPCCorrection
static const Double_t	fgkTPCZ0 = 249.7
	nominal gating grid position More...

static const Double_t	fgkIFCRadius = 83.5
	Mean Radius of the Inner Field Cage ( 82.43 min, 83.70 max) (cm) More...

static const Double_t	fgkOFCRadius = 254.5
	Mean Radius of the Outer Field Cage (252.55 min, 256.45 max) (cm) More...

static const Double_t	fgkZOffSet = 0.2
	Offset from CE: calculate all distortions closer to CE as if at this point. More...

static const Double_t	fgkCathodeV = -100000.0
	Cathode Voltage (volts) More...

static const Double_t	fgkGG = -70.0
	Gating Grid voltage (volts) More...

static const Double_t	fgkdvdE = 0.0024
	[cm/V] drift velocity dependency on the E field (from Magboltz for NeCO2N2 at standard environment) More...

static const Double_t	fgkEM = -1.602176487e-19/9.10938215e-31
	charge/mass in [C/kg] More...

static const Double_t	fgke0 = 8.854187817e-12
	vacuum permittivity [A·s/(V·m)] More...

static TObjArray *	fgVisualCorrection =0
	array of orrection for visualization More...

Detailed Description

The class calculates the space point distortions due to z offsets of the.

ROCs via the residual voltage technique (Poisson relaxation) in 3D. Since the GG (part of the ROCs) represents the closure of the FC in z direction, every misalignment in z produces not only dz distortions but also electrical field inhomogeneities throughout the volume, which produces additional dr and rd$$ distortions.

Each ROC can be misaligned (in z direction) in three ways. A general z0 offset, an inclination along the x and an inclination along the y axis. The z-misalignment's can be set via the function SetROCData(TMatrixD *mat) for each single chamber (ROC). The array size has to be (72,3) representing the 72 chambers according to the offline numbering scheme (IROC: roc$<$36; OROC: roc$$36) and the three misalignment's (see the source code for further details).

Internally, these z offsets (unit is cm) are recalculated into residual voltage equivalents in order to make use of the relaxation technique.

One has two possibilities when calculating the $dz$ distortions. The resulting distortions are purely due to the change of the drift velocity (along with the change of the drift field) when the SetROCDisplacement is FALSE. For this class, this is a rather unphysical setting and should be avoided. When the flag is set to TRUE, the corresponding offset in z is added to the dz calculation of the outer ROCs. For the Alice TPC gas, both effects are of similar magnitude. This means, if the drift length is sufficiently large, a z-offset of a chamber appears to have (approx.) twice the magnitude when one looks at the actual dz distortions.

In addition, this class allows a correction regarding the different arrival times of the electrons due to the geometrical difference of the inner and outer chambers. The impact was simulated via Garfield. If the flag is set via the function SetElectronArrivalCorrection, the electron-arrival correction is added to the dz calculation.

Picture from ROOT macro

Author: Jim Thomas, Stefan Rossegger

Date: 08/08/2010

Author: Jim Thomas, Stefan Rossegger

Definition at line 14 of file AliTPCROCVoltError3D.h.

Member Enumeration Documentation

anonymous enum

private

Enumerator
kRows

Definition at line 88 of file AliTPCROCVoltError3D.h.

anonymous enum

private

Enumerator
kColumns

Definition at line 89 of file AliTPCROCVoltError3D.h.

anonymous enum

private

Enumerator
kPhiSlicesPerSector

Definition at line 90 of file AliTPCROCVoltError3D.h.

anonymous enum

private

Enumerator
kPhiSlices

Definition at line 91 of file AliTPCROCVoltError3D.h.

anonymous enum

private

Enumerator
kIterations

Definition at line 92 of file AliTPCROCVoltError3D.h.

Constructor & Destructor Documentation

AliTPCROCVoltError3D::AliTPCROCVoltError3D ( )

Definition at line 70 of file AliTPCROCVoltError3D.cxx.

AliTPCROCVoltError3D::~AliTPCROCVoltError3D ( )

virtual

destructor

Definition at line 96 of file AliTPCROCVoltError3D.cxx.

AliTPCROCVoltError3D::AliTPCROCVoltError3D ( const AliTPCROCVoltError3D & )

private

Member Function Documentation

Bool_t AliTPCROCVoltError3D::AddCorrectionCompact	(	AliTPCCorrection *	corr,
		Double_t	weight
	)

virtual

Add correction and make them compact Assumptions:

origin of distortion/correction are additive
only correction ot the same type supported ()

Reimplemented from AliTPCCorrection.

Definition at line 110 of file AliTPCROCVoltError3D.cxx.

TH2F * AliTPCROCVoltError3D::CreateHistoOfZAlignment	(	Int_t	side,
		Int_t	nx = `250`,
		Int_t	ny = `250`
	)

return a simple histogramm containing the input to the poisson solver (z positions of the Read-out chambers, linearly interpolated)

Definition at line 475 of file AliTPCROCVoltError3D.cxx.

void AliTPCROCVoltError3D::ForceInitROCVoltError3D ( )

inline

Definition at line 53 of file AliTPCROCVoltError3D.h.

Referenced by GetCorrection().

Float_t AliTPCROCVoltError3D::GetC0 ( ) const

inline

Definition at line 30 of file AliTPCROCVoltError3D.h.

Float_t AliTPCROCVoltError3D::GetC1 ( ) const

inline

Definition at line 31 of file AliTPCROCVoltError3D.h.

void AliTPCROCVoltError3D::GetCorrection	(	const Float_t	x[],
		const Short_t	roc,
		Float_t	dx[]
	)

protectedvirtual

Calculates the correction due e.g. residual voltage errors on the TPC boundaries

Reimplemented from AliTPCCorrection.

Definition at line 212 of file AliTPCROCVoltError3D.cxx.

Bool_t AliTPCROCVoltError3D::GetElectronArrivalCorrection ( ) const

inline

Definition at line 49 of file AliTPCROCVoltError3D.h.

TMatrixD* AliTPCROCVoltError3D::GetMatrix ( ) const

inline

Definition at line 59 of file AliTPCROCVoltError3D.h.

Referenced by TestCorrection_AliTPCRocVoltError3DAddCorrectionCompact().

const Char_t* AliTPCROCVoltError3D::GetROCDataFileName ( ) const

inline

Definition at line 35 of file AliTPCROCVoltError3D.h.

Bool_t AliTPCROCVoltError3D::GetROCDisplacement ( ) const

inline

Definition at line 42 of file AliTPCROCVoltError3D.h.

Float_t AliTPCROCVoltError3D::GetROCVoltOffset	(	Int_t	side,
		Float_t	r0,
		Float_t	phi0
	)

Returns the dz alignment data (in voltage equivalents) at the given position

Definition at line 438 of file AliTPCROCVoltError3D.cxx.

Referenced by CreateHistoOfZAlignment(), and InitROCVoltError3D().

void AliTPCROCVoltError3D::Init ( )

virtual

Initialization funtion

Reimplemented from AliTPCCorrection.

Definition at line 152 of file AliTPCROCVoltError3D.cxx.

void AliTPCROCVoltError3D::InitROCVoltError3D ( )

Initialization of the Lookup table which contains the solutions of the Dirichlet boundary problem Calculation of the single 3D-Poisson solver is done just if needed (see basic lookup tables in header file)

Definition at line 297 of file AliTPCROCVoltError3D.cxx.

Referenced by ForceInitROCVoltError3D(), GetCorrection(), and Init().

AliTPCROCVoltError3D& AliTPCROCVoltError3D::operator= ( const AliTPCROCVoltError3D & )

private

void AliTPCROCVoltError3D::Print ( const Option_t * option = "" ) const

virtual

Print function to check the settings of the Rod shifts and the rotated clips option=="a" prints the C0 and C1 coefficents for calibration purposes

Definition at line 515 of file AliTPCROCVoltError3D.cxx.

void AliTPCROCVoltError3D::SetC0C1	(	Float_t	c0,
		Float_t	c1
	)

inline

Definition at line 29 of file AliTPCROCVoltError3D.h.

void AliTPCROCVoltError3D::SetElectronArrivalCorrection ( Bool_t flag )

inline

Definition at line 46 of file AliTPCROCVoltError3D.h.

Referenced by RegisterAliTPCROCVoltError3D(), and RegisterAliTPCROCVoltError3DSector().

virtual void AliTPCROCVoltError3D::SetOmegaTauT1T2	(	Float_t	omegaTau,
		Float_t	t1,
		Float_t	t2
	)

inlinevirtual

Reimplemented from AliTPCCorrection.

Definition at line 24 of file AliTPCROCVoltError3D.h.

Referenced by Init(), and Update().

void AliTPCROCVoltError3D::SetROCData ( TMatrixD * matrix )

Set a z alignment map of the chambers not via a file, but directly via a TMatrix(72,3), where dz = p0 + p1*(lx-133.4) + p2*ly (all in cm)

Definition at line 143 of file AliTPCROCVoltError3D.cxx.

Referenced by RegisterAliTPCROCVoltError3D(), RegisterAliTPCROCVoltError3DSector(), and TestCorrection_AliTPCRocVoltError3DAddCorrectionCompact().

void AliTPCROCVoltError3D::SetROCDataFileName ( const char * fname )

Set / load the ROC data (linear fit of ROC misalignments)

Definition at line 185 of file AliTPCROCVoltError3D.cxx.

void AliTPCROCVoltError3D::SetROCDisplacement ( Bool_t flag )

inline

Definition at line 39 of file AliTPCROCVoltError3D.h.

void AliTPCROCVoltError3D::Update ( const TTimeStamp & timeStamp )

virtual

Update function

Reimplemented from AliTPCCorrection.

Definition at line 169 of file AliTPCROCVoltError3D.cxx.

Member Data Documentation

Float_t AliTPCROCVoltError3D::fC0

private

coefficient C0 (compare Jim Thomas's notes for definitions)

Definition at line 69 of file AliTPCROCVoltError3D.h.

Referenced by GetC0(), GetCorrection(), Print(), SetC0C1(), and SetOmegaTauT1T2().

Float_t AliTPCROCVoltError3D::fC1

private

coefficient C1 (compare Jim Thomas's notes for definitions)

Definition at line 70 of file AliTPCROCVoltError3D.h.

Referenced by GetC1(), GetCorrection(), Print(), SetC0C1(), and SetOmegaTauT1T2().

TMatrixD* AliTPCROCVoltError3D::fdzDataLinFit

private

Linear fits of dz survey points (each sector=72) (z0,slopeX,slopeY)

Definition at line 85 of file AliTPCROCVoltError3D.h.

Referenced by AddCorrectionCompact(), GetMatrix(), GetROCVoltOffset(), Print(), SetROCData(), SetROCDataFileName(), and ~AliTPCROCVoltError3D().

Bool_t AliTPCROCVoltError3D::fElectronArrivalCorrection

private

flag on wheter to consider the difference

Definition at line 74 of file AliTPCROCVoltError3D.h.

Referenced by AddCorrectionCompact(), GetCorrection(), GetElectronArrivalCorrection(), Print(), and SetElectronArrivalCorrection().

Bool_t AliTPCROCVoltError3D::fInitLookUp

private

flag to check it the Look Up table was created (SUM)

Definition at line 78 of file AliTPCROCVoltError3D.h.

Referenced by ForceInitROCVoltError3D(), GetCorrection(), Init(), InitROCVoltError3D(), Print(), SetElectronArrivalCorrection(), SetROCDataFileName(), and SetROCDisplacement().

TMatrixF* AliTPCROCVoltError3D::fLookUpDeltaEz[kNPhi]

private

Array to store electric field integral (int Er/Ez)

Definition at line 82 of file AliTPCROCVoltError3D.h.

Referenced by GetCorrection(), InitROCVoltError3D(), and ~AliTPCROCVoltError3D().

TMatrixF* AliTPCROCVoltError3D::fLookUpEphiOverEz[kNPhi]

private

Array to store electric field integral (int Er/Ez)

Definition at line 81 of file AliTPCROCVoltError3D.h.

Referenced by GetCorrection(), InitROCVoltError3D(), and ~AliTPCROCVoltError3D().

TMatrixF* AliTPCROCVoltError3D::fLookUpErOverEz[kNPhi]

private

Array to store electric field integral (int Er/Ez)

Definition at line 80 of file AliTPCROCVoltError3D.h.

Referenced by GetCorrection(), InitROCVoltError3D(), and ~AliTPCROCVoltError3D().

TString AliTPCROCVoltError3D::fROCDataFileName

private

filename of the survey data containing the lin Fit values

Definition at line 84 of file AliTPCROCVoltError3D.h.

Referenced by GetROCDataFileName(), Print(), and SetROCDataFileName().

Bool_t AliTPCROCVoltError3D::fROCdisplacement

private

flag on wheter to consider the ROC displacement

Definition at line 72 of file AliTPCROCVoltError3D.h.

Referenced by AddCorrectionCompact(), GetROCDisplacement(), InitROCVoltError3D(), Print(), and SetROCDisplacement().

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

TPC/TPCbase/AliTPCROCVoltError3D.h
TPC/TPCbase/AliTPCROCVoltError3D.cxx

Public Member Functions

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation