TGraph with asymmetric error bars.

The TGraphAsymmErrors painting is performed thanks to the TGraphPainter class. All details about the various painting options are given in this class.

The picture below gives an example:

{
   c1 = new TCanvas("c1","A Simple Graph with asymmetric error bars",200,10,700,500);
   c1->SetFillColor(42);
   c1->SetGrid();
   c1->GetFrame()->SetFillColor(21);
   c1->GetFrame()->SetBorderSize(12);
   const Int_t n = 10;
   Double_t x[n]   = {-0.22, 0.05, 0.25, 0.35, 0.5, 0.61,0.7,0.85,0.89,0.95};
   Double_t y[n]   = {1,2.9,5.6,7.4,9,9.6,8.7,6.3,4.5,1};
   Double_t exl[n] = {.05,.1,.07,.07,.04,.05,.06,.07,.08,.05};
   Double_t eyl[n] = {.8,.7,.6,.5,.4,.4,.5,.6,.7,.8};
   Double_t exh[n] = {.02,.08,.05,.05,.03,.03,.04,.05,.06,.03};
   Double_t eyh[n] = {.6,.5,.4,.3,.2,.2,.3,.4,.5,.6};
   gr = new TGraphAsymmErrors(n,x,y,exl,exh,eyl,eyh);
   gr->SetTitle("TGraphAsymmErrors Example");
   gr->SetMarkerColor(4);
   gr->SetMarkerStyle(21);
   gr->Draw("ALP");
   return c1;
}

Definition at line 28 of file TGraphAsymmErrors.h.

Public Member Functions
	TGraphAsymmErrors ()
	TGraphAsymmErrors default constructor. More...

	TGraphAsymmErrors (Int_t n)
	TGraphAsymmErrors normal constructor. More...

	TGraphAsymmErrors (Int_t n, const Float_t x, const Float_t y, const Float_t exl=0, const Float_t exh=0, const Float_t eyl=0, const Float_t eyh=0)
	TGraphAsymmErrors normal constructor. More...

	TGraphAsymmErrors (Int_t n, const Double_t x, const Double_t y, const Double_t exl=0, const Double_t exh=0, const Double_t eyl=0, const Double_t eyh=0)
	TGraphAsymmErrors normal constructor. More...

	TGraphAsymmErrors (const TVectorF &vx, const TVectorF &vy, const TVectorF &vexl, const TVectorF &vexh, const TVectorF &veyl, const TVectorF &veyh)
	Constructor with six vectors of floats in input A grapherrors is built with the X coordinates taken from vx and Y coord from vy and the errors from vectors vexl/h and veyl/h. More...

	TGraphAsymmErrors (const TVectorD &vx, const TVectorD &vy, const TVectorD &vexl, const TVectorD &vexh, const TVectorD &veyl, const TVectorD &veyh)
	Constructor with six vectors of doubles in input A grapherrors is built with the X coordinates taken from vx and Y coord from vy and the errors from vectors vexl/h and veyl/h. More...

	TGraphAsymmErrors (const TGraphAsymmErrors &gr)
	TGraphAsymmErrors copy constructor. More...

	TGraphAsymmErrors (const TH1 *h)
	TGraphAsymmErrors constructor importing its parameters from the TH1 object passed as argument the low and high errors are set to the bin error of the histogram. More...

	TGraphAsymmErrors (const TH1 pass, const TH1 total, Option_t *option="")
	Creates a TGraphAsymmErrors by dividing two input TH1 histograms: pass/total. More...

	TGraphAsymmErrors (const char filename, const char format="%lg %lg %lg %lg %lg %lg", Option_t *option="")
	TGraphAsymmErrors constructor reading input from filename filename is assumed to contain at least 2 columns of numbers. More...

virtual	~TGraphAsymmErrors ()
	TGraphAsymmErrors default destructor. More...

virtual void	Apply (TF1 *f)
	Apply a function to all data points `y = f(x,y)` More...

virtual void	BayesDivide (const TH1 pass, const TH1 total, Option_t *opt="")
	This function is only kept for backward compatibility. More...

virtual void	ComputeRange (Double_t &xmin, Double_t &ymin, Double_t &xmax, Double_t &ymax) const
	Compute Range. More...

virtual void	Divide (const TH1 pass, const TH1 total, Option_t *opt="cp")
	Fill this TGraphAsymmErrors by dividing two 1-dimensional histograms pass/total. More...

Double_t	GetErrorX (Int_t bin) const
	This function is called by GraphFitChisquare. More...

Double_t	GetErrorXhigh (Int_t i) const
	Get high error on X. More...

Double_t	GetErrorXlow (Int_t i) const
	Get low error on X. More...

Double_t	GetErrorY (Int_t bin) const
	This function is called by GraphFitChisquare. More...

Double_t	GetErrorYhigh (Int_t i) const
	Get high error on Y. More...

Double_t	GetErrorYlow (Int_t i) const
	Get low error on Y. More...

Double_t *	GetEXhigh () const

Double_t *	GetEXlow () const

Double_t *	GetEYhigh () const

Double_t *	GetEYlow () const

virtual Int_t	Merge (TCollection *list)
	Adds all graphs with asymmetric errors from the collection to this graph. More...

TGraphAsymmErrors &	operator= (const TGraphAsymmErrors &gr)
	TGraphAsymmErrors assignment operator. More...

virtual void	Print (Option_t *chopt="") const
	Print graph and errors values. More...

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

virtual void	SetPointError (Double_t exl, Double_t exh, Double_t eyl, Double_t eyh)
	Set ex and ey values for point pointed by the mouse. More...

virtual void	SetPointError (Int_t i, Double_t exl, Double_t exh, Double_t eyl, Double_t eyh)
	Set ex and ey values for point number i. More...

virtual void	SetPointEXhigh (Int_t i, Double_t exh)
	Set EXhigh for point i. More...

virtual void	SetPointEXlow (Int_t i, Double_t exl)
	Set EXlow for point i. More...

virtual void	SetPointEYhigh (Int_t i, Double_t eyh)
	Set EYhigh for point i. More...

virtual void	SetPointEYlow (Int_t i, Double_t eyl)
	Set EYlow for point i. More...

Public Member Functions inherited from TGraph
	TGraph ()
	Graph default constructor. More...

	TGraph (Int_t n)
	Constructor with only the number of points set the arrays x and y will be set later. More...

	TGraph (Int_t n, const Int_t x, const Int_t y)
	Graph normal constructor with ints. More...

	TGraph (Int_t n, const Float_t x, const Float_t y)
	Graph normal constructor with floats. More...

	TGraph (Int_t n, const Double_t x, const Double_t y)
	Graph normal constructor with doubles. More...

	TGraph (const TGraph &gr)
	Copy constructor for this graph. More...

	TGraph (const TVectorF &vx, const TVectorF &vy)
	Graph constructor with two vectors of floats in input A graph is build with the X coordinates taken from vx and Y coord from vy The number of points in the graph is the minimum of number of points in vx and vy. More...

	TGraph (const TVectorD &vx, const TVectorD &vy)
	Graph constructor with two vectors of doubles in input A graph is build with the X coordinates taken from vx and Y coord from vy The number of points in the graph is the minimum of number of points in vx and vy. More...

	TGraph (const TH1 *h)
	Graph constructor importing its parameters from the TH1 object passed as argument. More...

	TGraph (const TF1 f, Option_t option="")
	Graph constructor importing its parameters from the TF1 object passed as argument. More...

	TGraph (const char filename, const char format="%lg %lg", Option_t *option="")
	Graph constructor reading input from filename. More...

virtual	~TGraph ()
	Graph default destructor. More...

virtual void	Browse (TBrowser *b)
	Browse. More...

virtual Double_t	Chisquare (TF1 f1, Option_t option="") const
	Return the chisquare of this graph with respect to f1. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Compute distance from point px,py to a graph. More...

virtual void	Draw (Option_t *chopt="")
	Draw this graph with its current attributes. More...

virtual void	DrawGraph (Int_t n, const Int_t x, const Int_t y, Option_t *option="")
	Draw this graph with new attributes. More...

virtual void	DrawGraph (Int_t n, const Float_t x, const Float_t y, Option_t *option="")
	Draw this graph with new attributes. More...

virtual void	DrawGraph (Int_t n, const Double_t x=0, const Double_t y=0, Option_t *option="")
	Draw this graph with new attributes. More...

virtual void	DrawPanel ()
	Display a panel with all graph drawing options. More...

virtual Double_t	Eval (Double_t x, TSpline spline=0, Option_t option="") const
	Interpolate points in this graph at x using a TSpline -if spline==0 and option="" a linear interpolation between the two points close to x is computed. More...

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

virtual void	Expand (Int_t newsize)
	If array sizes <= newsize, expand storage to 2*newsize. More...

virtual void	Expand (Int_t newsize, Int_t step)
	If graph capacity is less than newsize points then make array sizes equal to least multiple of step to contain newsize points. More...

virtual TObject *	FindObject (const char *name) const
	Search object named name in the list of functions. More...

virtual TObject *	FindObject (const TObject *obj) const
	Search object obj in the list of functions. More...

virtual TFitResultPtr	Fit (const char formula, Option_t option="", Option_t *goption="", Axis_t xmin=0, Axis_t xmax=0)
	Fit this graph with function with name fname. More...

virtual TFitResultPtr	Fit (TF1 f1, Option_t option="", Option_t *goption="", Axis_t xmin=0, Axis_t xmax=0)
	Fit this graph with function f1. More...

virtual void	FitPanel ()
	Display a GUI panel with all graph fit options. More...

virtual Double_t	GetCorrelationFactor () const
	Return graph correlation factor. More...

virtual Double_t	GetCovariance () const
	Return covariance of vectors x,y. More...

Bool_t	GetEditable () const
	Return kTRUE if kNotEditable bit is not set, kFALSE otherwise. More...

virtual Double_t *	GetEX () const

virtual Double_t *	GetEXhighd () const

virtual Double_t *	GetEXlowd () const

virtual Double_t *	GetEY () const

virtual Double_t *	GetEYhighd () const

virtual Double_t *	GetEYlowd () const

TF1 *	GetFunction (const char *name) const
	Return pointer to function with name. More...

TH1F *	GetHistogram () const
	Returns a pointer to the histogram used to draw the axis Takes into account the two following cases. More...

TList *	GetListOfFunctions () const

Double_t	GetMaximum () const

Int_t	GetMaxSize () const

virtual Double_t	GetMean (Int_t axis=1) const
	Return mean value of X (axis=1) or Y (axis=2) More...

Double_t	GetMinimum () const

Int_t	GetN () const

virtual Int_t	GetPoint (Int_t i, Double_t &x, Double_t &y) const
	Get x and y values for point number i. More...

virtual Double_t	GetRMS (Int_t axis=1) const
	Return RMS of X (axis=1) or Y (axis=2) More...

Double_t *	GetX () const

TAxis *	GetXaxis () const
	Get x axis of the graph. More...

Double_t *	GetY () const

TAxis *	GetYaxis () const
	Get y axis of the graph. More...

virtual void	InitExpo (Double_t xmin=0, Double_t xmax=0)
	Compute Initial values of parameters for an exponential. More...

virtual void	InitGaus (Double_t xmin=0, Double_t xmax=0)
	Compute Initial values of parameters for a gaussian. More...

virtual void	InitPolynom (Double_t xmin=0, Double_t xmax=0)
	Compute Initial values of parameters for a polynom. More...

virtual Int_t	InsertPoint ()
	Insert a new point at the mouse position. More...

virtual Double_t	Integral (Int_t first=0, Int_t last=-1) const
	Integrate the TGraph data within a given (index) range. More...

virtual Bool_t	IsEditable () const

virtual Int_t	IsInside (Double_t x, Double_t y) const
	Return 1 if the point (x,y) is inside the polygon defined by the graph vertices 0 otherwise. More...

virtual void	LeastSquareFit (Int_t m, Double_t *a, Double_t xmin=0, Double_t xmax=0)
	Least squares polynomial fitting without weights. More...

virtual void	LeastSquareLinearFit (Int_t n, Double_t &a0, Double_t &a1, Int_t &ifail, Double_t xmin=0, Double_t xmax=0)
	Least square linear fit without weights. More...

TGraph &	operator= (const TGraph &)
	Equal operator for this graph. More...

virtual void	Paint (Option_t *chopt="")
	Draw this graph with its current attributes. More...

void	PaintGraph (Int_t npoints, const Double_t x, const Double_t y, Option_t *chopt)
	Draw the (x,y) as a graph. More...

void	PaintGrapHist (Int_t npoints, const Double_t x, const Double_t y, Option_t *chopt)
	Draw the (x,y) as a histogram. More...

virtual void	PaintStats (TF1 *fit)
	Draw the stats. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove object from the list of functions. More...

virtual Int_t	RemovePoint ()
	Delete point close to the mouse position. More...

virtual Int_t	RemovePoint (Int_t ipoint)
	Delete point number ipoint. More...

virtual void	Set (Int_t n)
	Set number of points in the graph Existing coordinates are preserved New coordinates above fNpoints are preset to 0. More...

virtual void	SetEditable (Bool_t editable=kTRUE)
	if editable=kFALSE, the graph cannot be modified with the mouse by default a TGraph is editable More...

virtual void	SetHistogram (TH1F *h)

virtual void	SetMaximum (Double_t maximum=-1111)
	Set the maximum of the graph. More...

virtual void	SetMinimum (Double_t minimum=-1111)
	Set the minimum of the graph. More...

virtual void	SetPoint (Int_t i, Double_t x, Double_t y)
	Set x and y values for point number i. More...

virtual void	SetTitle (const char *title="")
	Set graph title. More...

virtual void	Sort (Bool_t(greater)(const TGraph , Int_t, Int_t)=&TGraph::CompareX, Bool_t ascending=kTRUE, Int_t low=0, Int_t high=-1111)
	Sorts the points of this TGraph using in-place quicksort (see e.g. More...

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

void	Zero (Int_t &k, Double_t AZ, Double_t BZ, Double_t E2, Double_t &X, Double_t &Y, Int_t maxiterations)
	Find zero of a continuous 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 copy ctor. 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	ls (Option_t *option="") const
	List TNamed name and title. More...

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

virtual void	SetName (const char *name)
	Set the name of the TNamed. More...

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (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 constructor. More...

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

virtual	~TObject ()
	TObject destructor. 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...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. 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 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	Error (const char method, const char msgfmt,...) const
	Issue error message. 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	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

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

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

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

virtual Option_t *	GetOption () const

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

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

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

void	InvertBit (UInt_t f)

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

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

Bool_t	IsOnHeap () const

Bool_t	IsZombie () const

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...

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

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

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

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

void *	operator new (size_t sz)

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

void *	operator new[] (size_t sz)

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

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

void	ResetBit (UInt_t f)

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

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

Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

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

Public Member Functions inherited from TAttLine
	TAttLine ()
	AttLine default constructor. More...

	TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth)
	AttLine normal constructor. More...

virtual	~TAttLine ()
	AttLine destructor. More...

void	Copy (TAttLine &attline) const
	Copy this line attributes to a new TAttLine. More...

Int_t	DistancetoLine (Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2)
	Compute distance from point px,py to a line. More...

virtual Color_t	GetLineColor () const
	Return the line color. More...

virtual Style_t	GetLineStyle () const
	Return the line style. More...

virtual Width_t	GetLineWidth () const
	Return the line width. More...

virtual void	Modify ()
	Change current line attributes if necessary. More...

virtual void	ResetAttLine (Option_t *option="")
	Reset this line attributes to default values. More...

virtual void	SaveLineAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t widdef=1)
	Save line attributes as C++ statement(s) on output stream out. More...

virtual void	SetLineAttributes ()
	Invoke the DialogCanvas Line attributes. More...

virtual void	SetLineColor (Color_t lcolor)
	Set the line color. More...

virtual void	SetLineColorAlpha (Color_t lcolor, Float_t lalpha)
	Set a transparent line color. More...

virtual void	SetLineStyle (Style_t lstyle)
	Set the line style. More...

virtual void	SetLineWidth (Width_t lwidth)
	Set the line width. More...

Public Member Functions inherited from TAttFill
	TAttFill ()
	AttFill default constructor. More...

	TAttFill (Color_t fcolor, Style_t fstyle)
	AttFill normal constructor. More...

virtual	~TAttFill ()
	AttFill destructor. More...

void	Copy (TAttFill &attfill) const
	Copy this fill attributes to a new TAttFill. More...

virtual Color_t	GetFillColor () const
	Return the fill area color. More...

virtual Style_t	GetFillStyle () const
	Return the fill area style. More...

virtual Bool_t	IsTransparent () const

virtual void	Modify ()
	Change current fill area attributes if necessary. More...

virtual void	ResetAttFill (Option_t *option="")
	Reset this fill attributes to default values. More...

virtual void	SaveFillAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1001)
	Save fill attributes as C++ statement(s) on output stream out. More...

virtual void	SetFillAttributes ()
	Invoke the DialogCanvas Fill attributes. More...

virtual void	SetFillColor (Color_t fcolor)
	Set the fill area color. More...

virtual void	SetFillColorAlpha (Color_t fcolor, Float_t falpha)
	Set a transparent fill color. More...

virtual void	SetFillStyle (Style_t fstyle)
	Set the fill area style. More...

Public Member Functions inherited from TAttMarker
	TAttMarker ()
	TAttMarker default constructor. More...

	TAttMarker (Color_t color, Style_t style, Size_t msize)
	TAttMarker normal constructor. More...

virtual	~TAttMarker ()
	TAttMarker destructor. More...

void	Copy (TAttMarker &attmarker) const
	Copy this marker attributes to a new TAttMarker. More...

virtual Color_t	GetMarkerColor () const
	Return the marker color. More...

virtual Size_t	GetMarkerSize () const
	Return the marker size. More...

virtual Style_t	GetMarkerStyle () const
	Return the marker style. More...

virtual void	Modify ()
	Change current marker attributes if necessary. More...

virtual void	ResetAttMarker (Option_t *toption="")
	Reset this marker attributes to the default values. More...

virtual void	SaveMarkerAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t sizdef=1)
	Save line attributes as C++ statement(s) on output stream out. More...

virtual void	SetMarkerAttributes ()
	Invoke the DialogCanvas Marker attributes. More...

virtual void	SetMarkerColor (Color_t mcolor=1)
	Set the marker color. More...

virtual void	SetMarkerColorAlpha (Color_t mcolor, Float_t malpha)
	Set a transparent marker color. More...

virtual void	SetMarkerSize (Size_t msize=1)
	Set the marker size. More...

virtual void	SetMarkerStyle (Style_t mstyle=1)
	Set the marker style. More...

Protected Member Functions
virtual Double_t **	Allocate (Int_t size)

virtual void	CopyAndRelease (Double_t **newarrays, Int_t ibegin, Int_t iend, Int_t obegin)
	Copy and release. More...

virtual Bool_t	CopyPoints (Double_t **arrays, Int_t ibegin, Int_t iend, Int_t obegin)
	Copy errors from fE* to arrays[] or to f** Copy points. More...

Bool_t	CtorAllocate ()
	Should be called from ctors after fNpoints has been set Note: This function should be called only from the constructor since it does not delete previously existing arrays. More...

virtual Bool_t	DoMerge (const TGraph *g)
	protected function to perform the merge operation of a graph with asymmetric errors More...

virtual void	FillZero (Int_t begin, Int_t end, Bool_t from_ctor=kTRUE)
	Set zero values for point arrays in the range [begin, end) More...

virtual void	SwapPoints (Int_t pos1, Int_t pos2)
	Swap points. More...

Protected Member Functions inherited from TGraph
Double_t **	AllocateArrays (Int_t Narrays, Int_t arraySize)
	Allocate arrays. More...

Bool_t	CtorAllocate ()
	In constructors set fNpoints than call this method. More...

Double_t **	ExpandAndCopy (Int_t size, Int_t iend)
	if size > fMaxSize allocate new arrays of 2*size points and copy iend first points. More...

Double_t **	ShrinkAndCopy (Int_t size, Int_t iend)
	if size*2 <= fMaxSize allocate new arrays of size points, copy points [0,oend). More...

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

void	MakeZombie ()

Protected Attributes
Double_t *	fEXhigh

Double_t *	fEXlow

Double_t *	fEYhigh

Double_t *	fEYlow

Protected Attributes inherited from TGraph
TList *	fFunctions

TH1F *	fHistogram

Double_t	fMaximum

Int_t	fMaxSize

Double_t	fMinimum

Int_t	fNpoints
	Current dimension of arrays fX and fY. More...

Double_t *	fX

Double_t *	fY

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Protected Attributes inherited from TAttLine
Color_t	fLineColor
	Line color. More...

Style_t	fLineStyle
	Line style. More...

Width_t	fLineWidth
	Line width. More...

Protected Attributes inherited from TAttFill
Color_t	fFillColor
	Fill area color. More...

Style_t	fFillStyle
	Fill area style. More...

Protected Attributes inherited from TAttMarker
Color_t	fMarkerColor
	Marker color. More...

Size_t	fMarkerSize
	Marker size. More...

Style_t	fMarkerStyle
	Marker style. More...

Additional Inherited Members
Public Types inherited from TGraph
enum	{ kClipFrame = BIT(10), kNotEditable = BIT(18), kIsSortedX = BIT(19) }

Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }

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

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) }

Static Public Member Functions inherited from TGraph
static Bool_t	CompareArg (const TGraph *gr, Int_t left, Int_t right)
	Return kTRUE if point number "left"'s argument (angle with respect to positive x-axis) is bigger than that of point number "right". More...

static Bool_t	CompareRadius (const TGraph *gr, Int_t left, Int_t right)
	Return kTRUE if point number "left"'s distance to origin is bigger than that of point number "right". More...

static Bool_t	CompareX (const TGraph *gr, Int_t left, Int_t right)
	Return kTRUE if fX[left] > fX[right]. Can be used by Sort. More...

static Bool_t	CompareY (const TGraph *gr, Int_t left, Int_t right)
	Return kTRUE if fY[left] > fY[right]. Can be used by Sort. More...

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

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

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

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

Static Protected Member Functions inherited from TGraph
static void	SwapValues (Double_t *arr, Int_t pos1, Int_t pos2)
	Swap values. More...

#include <TGraphAsymmErrors.h>

Inheritance diagram for TGraphAsymmErrors:

[legend]

Constructor & Destructor Documentation

◆ TGraphAsymmErrors() [1/10]

TGraphAsymmErrors::TGraphAsymmErrors ( )

TGraphAsymmErrors default constructor.

Definition at line 71 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [2/10]

TGraphAsymmErrors::TGraphAsymmErrors ( Int_t n )

TGraphAsymmErrors normal constructor.

the arrays are preset to zero

Definition at line 124 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [3/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	Int_t	n,
		const Float_t *	x,
		const Float_t *	y,
		const Float_t *	exl = `0`,
		const Float_t *	exh = `0`,
		const Float_t *	eyl = `0`,
		const Float_t *	eyh = `0`
	)

TGraphAsymmErrors normal constructor.

if exl,h or eyl,h are null, the corresponding arrays are preset to zero

Definition at line 137 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [4/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	Int_t	n,
		const Double_t *	x,
		const Double_t *	y,
		const Double_t *	exl = `0`,
		const Double_t *	exh = `0`,
		const Double_t *	eyl = `0`,
		const Double_t *	eyh = `0`
	)

TGraphAsymmErrors normal constructor.

if exl,h or eyl,h are null, the corresponding arrays are preset to zero

Definition at line 160 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [5/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	const TVectorF &	vx,
		const TVectorF &	vy,
		const TVectorF &	vexl,
		const TVectorF &	vexh,
		const TVectorF &	veyl,
		const TVectorF &	veyh
	)

Constructor with six vectors of floats in input A grapherrors is built with the X coordinates taken from vx and Y coord from vy and the errors from vectors vexl/h and veyl/h.

The number of points in the graph is the minimum of number of points in vx and vy.

Definition at line 184 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [6/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	const TVectorD &	vx,
		const TVectorD &	vy,
		const TVectorD &	vexl,
		const TVectorD &	vexh,
		const TVectorD &	veyl,
		const TVectorD &	veyh
	)

Constructor with six vectors of doubles in input A grapherrors is built with the X coordinates taken from vx and Y coord from vy and the errors from vectors vexl/h and veyl/h.

The number of points in the graph is the minimum of number of points in vx and vy.

Definition at line 214 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [7/10]

TGraphAsymmErrors::TGraphAsymmErrors ( const TGraphAsymmErrors & gr )

TGraphAsymmErrors copy constructor.

Definition at line 83 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [8/10]

TGraphAsymmErrors::TGraphAsymmErrors ( const TH1 * h )

TGraphAsymmErrors constructor importing its parameters from the TH1 object passed as argument the low and high errors are set to the bin error of the histogram.

Definition at line 241 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [9/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	const TH1 *	pass,
		const TH1 *	total,
		Option_t *	option = `""`
	)

Creates a TGraphAsymmErrors by dividing two input TH1 histograms: pass/total.

(see TGraphAsymmErrors::Divide)

Definition at line 259 of file TGraphAsymmErrors.cxx.

◆ TGraphAsymmErrors() [10/10]

TGraphAsymmErrors::TGraphAsymmErrors	(	const char *	filename,
		const char *	format = `"%lg %lg %lg %lg %lg %lg"`,
		Option_t *	option = `""`
	)

TGraphAsymmErrors constructor reading input from filename filename is assumed to contain at least 2 columns of numbers.

convention for format (default="%lg %lg %lg %lg %lg %lg")

format = "%lg %lg" read only 2 first columns into X, Y
format = "%lg %lg %lg %lg" read only 4 first columns into X, Y, ELY, EHY
format = "%lg %lg %lg %lg %lg %lg" read only 6 first columns into X, Y, EXL, EYH, EYL, EHY

For files separated by a specific delimiter different from `' 'and''(e.g.';'in csv files) you can avoid using%*sto bypass this delimiter by explicitly specify the"option" argument, e.g. option=" \t,;" for columns of figures separated by any of these characters `(' ', '', ',', ';') used once(e.g. "1;1")or in a combined way(" 1;,;; 1")`. Note in that case, the instantiation is about 2 times slower. In case a delimiter is specified, the format "%lg %lg %lg" will read X,Y,EX.

Definition at line 298 of file TGraphAsymmErrors.cxx.

◆ ~TGraphAsymmErrors()

TGraphAsymmErrors::~TGraphAsymmErrors ( )

virtual

TGraphAsymmErrors default destructor.

Definition at line 433 of file TGraphAsymmErrors.cxx.

Member Function Documentation

◆ Allocate()

Double_t ** TGraphAsymmErrors::Allocate ( Int_t size )

inlineprotectedvirtual

Reimplemented from TGraph.

Definition at line 90 of file TGraphAsymmErrors.h.

◆ Apply()

void TGraphAsymmErrors::Apply ( TF1 * f )

virtual

Apply a function to all data points y = f(x,y)

Errors are calculated as eyh = f(x,y+eyh)-f(x,y) and eyl = f(x,y)-f(x,y-eyl)

Special treatment has to be applied for the functions where the role of "up" and "down" is reversed. function suggested/implemented by Miroslav Helbich helbi.nosp@m.ch@m.nosp@m.ail.d.nosp@m.esy..nosp@m.de

Reimplemented from TGraph.

Definition at line 452 of file TGraphAsymmErrors.cxx.

◆ BayesDivide()

void TGraphAsymmErrors::BayesDivide	(	const TH1 *	pass,
		const TH1 *	total,
		Option_t *	opt = `""`
	)

virtual

This function is only kept for backward compatibility.

You should rather use the Divide method. It calls Divide(pass,total,"cl=0.683 b(1,1) mode") which is equivalent to the former BayesDivide method.

Definition at line 493 of file TGraphAsymmErrors.cxx.

◆ ComputeRange()

void TGraphAsymmErrors::ComputeRange	(	Double_t &	xmin,
		Double_t &	ymin,
		Double_t &	xmax,
		Double_t &	ymax
	)		const

virtual

Compute Range.

Reimplemented from TGraph.

Definition at line 967 of file TGraphAsymmErrors.cxx.

◆ CopyAndRelease()

void TGraphAsymmErrors::CopyAndRelease	(	Double_t **	newarrays,
		Int_t	ibegin,
		Int_t	iend,
		Int_t	obegin
	)

protectedvirtual

Copy and release.

Reimplemented from TGraph.

Definition at line 997 of file TGraphAsymmErrors.cxx.

◆ CopyPoints()

Bool_t TGraphAsymmErrors::CopyPoints	(	Double_t **	arrays,
		Int_t	ibegin,
		Int_t	iend,
		Int_t	obegin
	)

protectedvirtual

Copy errors from fE*** to arrays[] or to f Copy points.

Reimplemented from TGraph.

Definition at line 1023 of file TGraphAsymmErrors.cxx.

◆ CtorAllocate()

Bool_t TGraphAsymmErrors::CtorAllocate ( void )

protected

Should be called from ctors after fNpoints has been set Note: This function should be called only from the constructor since it does not delete previously existing arrays.

Definition at line 1051 of file TGraphAsymmErrors.cxx.

◆ Divide()

void TGraphAsymmErrors::Divide	(	const TH1 *	pass,
		const TH1 *	total,
		Option_t *	opt = `"cp"`
	)

virtual

Fill this TGraphAsymmErrors by dividing two 1-dimensional histograms pass/total.

This method serves two purposes:

1) calculating efficiencies:

The assumption is that the entries in "pass" are a subset of those in "total". That is, we create an "efficiency" graph, where each entry is between 0 and 1, inclusive.

If the histograms are not filled with unit weights, the number of effective entries is used to normalise the bin contents which might lead to wrong results.

\[ \text{effective entries} = \frac{(\sum w_{i})^{2}}{\sum w_{i}^{2}} \]

The points are assigned a x value at the center of each histogram bin. The y values are \(\text{eff} = \frac{\text{pass}}{\text{total}}\) for all options except for the bayesian methods where the result depends on the chosen option.

If the denominator becomes 0 or pass > total, the corresponding bin is skipped.

2) calculating ratios of two Poisson means (option 'pois'):

The two histograms are interpreted as independent Poisson processes and the ratio

\[ \tau = \frac{n_{1}}{n_{2}} = \frac{\varepsilon}{1 - \varepsilon} \]

with \(\varepsilon = \frac{n_{1}}{n_{1} + n_{2}}\). The histogram 'pass' is interpreted as \(n_{1}\) and the total histogram is used for \(n_{2}\).

The (asymmetric) uncertainties of the Poisson ratio are linked to the uncertainties of efficiency by a parameter transformation:

\[ \Delta \tau_{low/up} = \frac{1}{(1 - \varepsilon)^{2}} \Delta \varepsilon_{low/up} \]

The x errors span each histogram bin (lowedge ... lowedge+width) The y errors depend on the chosen statistic methode which can be determined by the options given below. For a detailed description of the used statistic calculations please have a look at the corresponding functions!

Options:

v : verbose mode: prints information about the number of used bins and calculated efficiencies with their errors
cl=x : determine the used confidence level (0<x<1) (default is 0.683)
cp : Clopper-Pearson interval (see TEfficiency::ClopperPearson)
w : Wilson interval (see TEfficiency::Wilson)
n : normal approximation propagation (see TEfficiency::Normal)
ac : Agresti-Coull interval (see TEfficiency::AgrestiCoull)
fc : Feldman-Cousins interval (see TEfficiency::FeldmanCousinsInterval)
midp : Lancaster mid-P interval (see TEfficiency::MidPInterval)
b(a,b): bayesian interval using a prior probability ~Beta(a,b); a,b > 0 (see TEfficiency::Bayesian)
mode : use mode of posterior for Bayesian interval (default is mean)
shortest: use shortest interval (done by default if mode is set)
central: use central interval (done by default if mode is NOT set)
pois: interpret histograms as poisson ratio instead of efficiency
e0 : plot (in Bayesian case) efficiency and interval for bins where total=0 (default is to skip them)

Note: Unfortunately there is no straightforward approach for determining a confidence interval for a given confidence level. The actual coverage probability of the confidence interval oscillates significantly according to the total number of events and the true efficiency. In order to decrease the impact of this oscillation on the actual coverage probability a couple of approximations and methodes has been developed. For a detailed discussion, please have a look at this statistical paper: http://www-stat.wharton.upenn.edu/~tcai/paper/Binomial-StatSci.pdf

Definition at line 573 of file TGraphAsymmErrors.cxx.

◆ DoMerge()

Bool_t TGraphAsymmErrors::DoMerge ( const TGraph * g )

protectedvirtual

protected function to perform the merge operation of a graph with asymmetric errors

Reimplemented from TGraph.

Definition at line 1067 of file TGraphAsymmErrors.cxx.

◆ FillZero()

void TGraphAsymmErrors::FillZero	(	Int_t	begin,
		Int_t	end,
		Bool_t	from_ctor = `kTRUE`
	)

protectedvirtual

Set zero values for point arrays in the range [begin, end)

Reimplemented from TGraph.

Definition at line 1094 of file TGraphAsymmErrors.cxx.

◆ GetErrorX()

Double_t TGraphAsymmErrors::GetErrorX ( Int_t i ) const

virtual

This function is called by GraphFitChisquare.

It returns the error along X at point i.

Reimplemented from TGraph.

Definition at line 1112 of file TGraphAsymmErrors.cxx.

◆ GetErrorXhigh()

Double_t TGraphAsymmErrors::GetErrorXhigh ( Int_t i ) const

virtual

Get high error on X.

Reimplemented from TGraph.

Definition at line 1141 of file TGraphAsymmErrors.cxx.

◆ GetErrorXlow()

Double_t TGraphAsymmErrors::GetErrorXlow ( Int_t i ) const

virtual

Get low error on X.

Reimplemented from TGraph.

Definition at line 1152 of file TGraphAsymmErrors.cxx.

◆ GetErrorY()

Double_t TGraphAsymmErrors::GetErrorY ( Int_t i ) const

virtual

This function is called by GraphFitChisquare.

It returns the error along Y at point i.

Reimplemented from TGraph.

Definition at line 1127 of file TGraphAsymmErrors.cxx.

◆ GetErrorYhigh()

Double_t TGraphAsymmErrors::GetErrorYhigh ( Int_t i ) const

virtual

Get high error on Y.

Reimplemented from TGraph.

Definition at line 1163 of file TGraphAsymmErrors.cxx.

◆ GetErrorYlow()

Double_t TGraphAsymmErrors::GetErrorYlow ( Int_t i ) const

virtual

Get low error on Y.

Reimplemented from TGraph.

Definition at line 1174 of file TGraphAsymmErrors.cxx.

◆ GetEXhigh()

Double_t* TGraphAsymmErrors::GetEXhigh ( ) const

inlinevirtual

Reimplemented from TGraph.

Definition at line 74 of file TGraphAsymmErrors.h.

◆ GetEXlow()

Double_t* TGraphAsymmErrors::GetEXlow ( ) const

inlinevirtual

Reimplemented from TGraph.

Definition at line 73 of file TGraphAsymmErrors.h.

◆ GetEYhigh()

Double_t* TGraphAsymmErrors::GetEYhigh ( ) const

inlinevirtual

Reimplemented from TGraph.

Definition at line 76 of file TGraphAsymmErrors.h.

◆ GetEYlow()

Double_t* TGraphAsymmErrors::GetEYlow ( ) const

inlinevirtual

Reimplemented from TGraph.

Definition at line 75 of file TGraphAsymmErrors.h.

◆ Merge()

Int_t TGraphAsymmErrors::Merge ( TCollection * li )

virtual

Adds all graphs with asymmetric errors from the collection to this graph.

Returns the total number of poins in the result or -1 in case of an error.

Reimplemented from TGraph.

Definition at line 1186 of file TGraphAsymmErrors.cxx.

◆ operator=()

TGraphAsymmErrors & TGraphAsymmErrors::operator= ( const TGraphAsymmErrors & gr )

TGraphAsymmErrors assignment operator.

Definition at line 98 of file TGraphAsymmErrors.cxx.

◆ Print()

void TGraphAsymmErrors::Print ( Option_t * chopt = "" ) const

virtual

Print graph and errors values.

Reimplemented from TGraph.

Reimplemented in RooHist.

Definition at line 1219 of file TGraphAsymmErrors.cxx.

◆ SavePrimitive()

void TGraphAsymmErrors::SavePrimitive	(	std::ostream &	out,
		Option_t *	option = `""`
	)

virtual

Save primitive as a C++ statement(s) on output stream out.

Reimplemented from TGraph.

Definition at line 1231 of file TGraphAsymmErrors.cxx.

◆ SetPointError() [1/2]

void TGraphAsymmErrors::SetPointError	(	Double_t	exl,
		Double_t	exh,
		Double_t	eyl,
		Double_t	eyh
	)

virtual

Set ex and ey values for point pointed by the mouse.

Definition at line 1313 of file TGraphAsymmErrors.cxx.

◆ SetPointError() [2/2]

void TGraphAsymmErrors::SetPointError	(	Int_t	i,
		Double_t	exl,
		Double_t	exh,
		Double_t	eyl,
		Double_t	eyh
	)

virtual

Set ex and ey values for point number i.

Definition at line 1340 of file TGraphAsymmErrors.cxx.

◆ SetPointEXhigh()

void TGraphAsymmErrors::SetPointEXhigh	(	Int_t	i,
		Double_t	exh
	)

virtual

Set EXhigh for point i.

Definition at line 1371 of file TGraphAsymmErrors.cxx.

◆ SetPointEXlow()

void TGraphAsymmErrors::SetPointEXlow	(	Int_t	i,
		Double_t	exl
	)

virtual

Set EXlow for point i.

Definition at line 1357 of file TGraphAsymmErrors.cxx.

◆ SetPointEYhigh()

void TGraphAsymmErrors::SetPointEYhigh	(	Int_t	i,
		Double_t	eyh
	)

virtual

Set EYhigh for point i.

Definition at line 1399 of file TGraphAsymmErrors.cxx.

◆ SetPointEYlow()

void TGraphAsymmErrors::SetPointEYlow	(	Int_t	i,
		Double_t	eyl
	)

virtual

Set EYlow for point i.

Definition at line 1385 of file TGraphAsymmErrors.cxx.

◆ SwapPoints()

void TGraphAsymmErrors::SwapPoints	(	Int_t	pos1,
		Int_t	pos2
	)

protectedvirtual

Swap points.

Reimplemented from TGraph.

Definition at line 1465 of file TGraphAsymmErrors.cxx.

Member Data Documentation

◆ fEXhigh

Double_t* TGraphAsymmErrors::fEXhigh

protected

Definition at line 32 of file TGraphAsymmErrors.h.

◆ fEXlow

Double_t* TGraphAsymmErrors::fEXlow

protected

Definition at line 31 of file TGraphAsymmErrors.h.

◆ fEYhigh

Double_t* TGraphAsymmErrors::fEYhigh

protected

Definition at line 34 of file TGraphAsymmErrors.h.

◆ fEYlow

Double_t* TGraphAsymmErrors::fEYlow

protected

Definition at line 33 of file TGraphAsymmErrors.h.

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

hist/hist/inc/TGraphAsymmErrors.h
hist/hist/src/TGraphAsymmErrors.cxx

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TGraphAsymmErrors() [1/10]

◆ TGraphAsymmErrors() [2/10]

◆ TGraphAsymmErrors() [3/10]

◆ TGraphAsymmErrors() [4/10]

◆ TGraphAsymmErrors() [5/10]

◆ TGraphAsymmErrors() [6/10]

◆ TGraphAsymmErrors() [7/10]

◆ TGraphAsymmErrors() [8/10]

◆ TGraphAsymmErrors() [9/10]

◆ TGraphAsymmErrors() [10/10]

◆ ~TGraphAsymmErrors()

Member Function Documentation

◆ Allocate()

◆ Apply()

◆ BayesDivide()

◆ ComputeRange()

◆ CopyAndRelease()

◆ CopyPoints()

◆ CtorAllocate()

◆ Divide()

1) calculating efficiencies:

2) calculating ratios of two Poisson means (option 'pois'):

◆ DoMerge()

◆ FillZero()

◆ GetErrorX()

◆ GetErrorXhigh()

◆ GetErrorXlow()

◆ GetErrorY()

◆ GetErrorYhigh()

◆ GetErrorYlow()

◆ GetEXhigh()

◆ GetEXlow()

◆ GetEYhigh()

◆ GetEYlow()

◆ Merge()

◆ operator=()

◆ Print()

◆ SavePrimitive()

◆ SetPointError() [1/2]

◆ SetPointError() [2/2]

◆ SetPointEXhigh()

◆ SetPointEXlow()

◆ SetPointEYhigh()

◆ SetPointEYlow()

◆ SwapPoints()

Member Data Documentation

◆ fEXhigh

◆ fEXlow

◆ fEYhigh

◆ fEYlow