TProfile Class Reference

Profile Histogram.

Profile histograms are used to display the mean value of Y and its error for each bin in X. The displayed error is by default the standard error on the mean (i.e. the standard deviation divided by the sqrt(n) ). Profile histograms are in many cases an elegant replacement of two-dimensional histograms. The inter-relation of two measured quantities X and Y can always be visualized by a two-dimensional histogram or scatter plot, but if Y is an unknown (but single-valued) approximate function of X, this function is displayed by a profile histogram with much better precision than by a scatter plot.

The following formulae show the cumulated contents (capital letters) and the values displayed by the printing or plotting routines (small letters) of the elements for bin j.

\[ \begin{align} H(j) &= \sum w \cdot Y \\ E(j) &= \sum w \cdot Y^2 \\ W(j) &= \sum w \\ h(j) &= H(j) / W(j) & &\text{mean of Y,} \\ s(j) &= \sqrt{E(j)/W(j)- h(j)^2} & &\text{standard deviation of Y} \\ e(j) &= s(j)/\sqrt{W(j)} & &\text{standard error on the mean} \\ \end{align} \]

The bin content is always the mean of the Y values, but errors change depending on options:

\[ \begin{align} \text{GetBinContent}(j) &= h(j) \\ \text{GetBinError}(j) &= \begin{cases} e(j) &\text{if option="" (default). Error of the mean of all y values.} \\ s(j) &\text{if option="s". Standard deviation of all y values.} \\ \begin{cases} e(j) &\text{if } h(j) \ne 0 \\ 1/\sqrt{12 N} &\text{if } h(j)=0 \end{cases} &\text{if option="i". This is useful for storing integers such as ADC counts.} \\ 1/\sqrt{W(j)} &\text{if option="g". Error of a weighted mean for combining measurements with variances of } w. \\ \end{cases} \end{align} \]

In the special case where s(j) is zero (eg, case of 1 entry only in one bin) the bin error e(j) is computed from the average of the s(j) for all bins if the static function TProfile::Approximate() has been called. This simple/crude approximation was suggested in order to keep the bin during a fit operation. But note that this approximation is not the default behaviour. See also TProfile::BuildOptions for more on error options.

Creating and drawing a profile histogram

{
  auto c1 = new TCanvas("c1","Profile histogram example",200,10,700,500);
  auto hprof  = new TProfile("hprof","Profile of pz versus px",100,-4,4,0,20);
  Float_t px, py, pz;
  for ( Int_t i=0; i<25000; i++) {
    gRandom->Rannor(px,py);
    pz = px*px + py*py;
    hprof->Fill(px,pz,1);
  }
  hprof->Draw();
}

Definition at line 32 of file TProfile.h.

Public Member Functions
	TProfile ()
	Default constructor for Profile histograms.
	TProfile (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Double_t ylow, Double_t yup, Option_t *option="")
	Constructor for Profile histograms with variable bin size.
	TProfile (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Option_t *option="")
	Constructor for Profile histograms with variable bin size.
	TProfile (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins, Option_t *option="")
	Constructor for Profile histograms with variable bin size.
	TProfile (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Double_t ylow, Double_t yup, Option_t *option="")
	Constructor for Profile histograms with range in y.
	TProfile (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Option_t *option="")
	Normal Constructor for Profile histograms.
	TProfile (const TProfile &profile)
	Copy constructor.
	~TProfile () override
	Default destructor for Profile histograms.
Bool_t	Add (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1) override
	Replace contents of this profile by the addition of h1 and h2.
Bool_t	Add (const TH1 *h1, Double_t c1=1) override
	Performs the operation: this = this + c1*h1.
Bool_t	Add (TF1 *h1, Double_t c1=1, Option_t *option="") override
	Performs the operation: this = this + c1*f1.
Int_t	BufferEmpty (Int_t action=0) override
	Fill histogram with all entries in the buffer.
void	BuildOptions (Double_t ymin, Double_t ymax, Option_t *option)
	Set Profile histogram structure and options.
void	Copy (TObject &hnew) const override
	Copy a Profile histogram to a new profile histogram.
Bool_t	Divide (const TH1 *h1) override
	Divide this profile by h1.
Bool_t	Divide (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="") override
	Replace contents of this profile by the division of h1 by h2.
Bool_t	Divide (TF1 *h1, Double_t c1=1) override
	Performs the operation: this = this/(c1*f1).
void	ExtendAxis (Double_t x, TAxis *axis) override
	Profile histogram is resized along x axis such that x is in the axis range.
Int_t	Fill (const char *namex, Double_t y) override
	Fill a Profile histogram (no weights).
virtual Int_t	Fill (const char *namex, Double_t y, Double_t w)
	Fill a Profile histogram with weights.
Int_t	Fill (Double_t x, Double_t y) override
	Fill a Profile histogram (no weights).
virtual Int_t	Fill (Double_t x, Double_t y, Double_t w)
	Fill a Profile histogram with weights.
void	FillN (Int_t ntimes, const Double_t *x, const Double_t *y, const Double_t *w, Int_t stride=1) override
	Fill a Profile histogram with weights.
Double_t	GetBinContent (Int_t bin) const override
	Return bin content of a Profile histogram.
Double_t	GetBinContent (Int_t bin, Int_t) const override
Double_t	GetBinContent (Int_t bin, Int_t, Int_t) const override
virtual Double_t	GetBinEffectiveEntries (Int_t bin) const
	Return bin effective entries for a weighted filled Profile histogram.
virtual Double_t	GetBinEntries (Int_t bin) const
	Return bin entries of a Profile histogram.
Double_t	GetBinError (Int_t bin) const override
	Return bin error of a Profile histogram.
Double_t	GetBinError (Int_t bin, Int_t) const override
Double_t	GetBinError (Int_t bin, Int_t, Int_t) const override
virtual TArrayD *	GetBinSumw2 ()
virtual const TArrayD *	GetBinSumw2 () const
Option_t *	GetErrorOption () const
	Return option to compute profile errors.
void	GetStats (Double_t *stats) const override
	fill the array stats from the contents of this profile.
virtual Double_t	GetYmax () const
virtual Double_t	GetYmin () const
TClass *	IsA () const override
void	LabelsDeflate (Option_t *axis="X") override
	Reduce the number of bins for this axis to the number of bins having a label.
void	LabelsInflate (Option_t *axis="X") override
	Double the number of bins for axis.
void	LabelsOption (Option_t *option="h", Option_t *axis="X") override
	Set option(s) to draw axis with labels.
Long64_t	Merge (TCollection *list) override
	Merge all histograms in the collection in this histogram.
Bool_t	Multiply (const TH1 *h1) override
	Multiply this profile by h1.
Bool_t	Multiply (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="") override
	Replace contents of this profile by multiplication of h1 by h2.
Bool_t	Multiply (TF1 *h1, Double_t c1=1) override
	Performs the operation: this = this*c1*f1.
TProfile &	operator= (const TProfile &profile)
TH1D *	ProjectionX (const char *name="_px", Option_t *option="e") const
	Project this profile into a 1-D histogram along X.
void	PutStats (Double_t *stats) override
	Replace current statistics with the values in array stats.
TH1 *	Rebin (Int_t ngroup=2, const char *newname="", const Double_t *xbins=nullptr) override
	Rebin this profile grouping ngroup bins together.
void	Reset (Option_t *option="") override
	Reset contents of a Profile histogram.
void	SavePrimitive (std::ostream &out, Option_t *option="") override
	Save primitive as a C++ statement(s) on output stream out.
void	Scale (Double_t c1=1, Option_t *option="") override
	Multiply this profile by a constant c1.
virtual void	SetBinEntries (Int_t bin, Double_t w)
	Set the number of entries in bin.
void	SetBins (Int_t nbins, Double_t xmin, Double_t xmax) override
	Redefine x axis parameters.
void	SetBins (Int_t nx, const Double_t *xbins) override
	Redefine x axis parameters.
void	SetBinsLength (Int_t n=-1) override
	Set total number of bins including under/overflow.
void	SetBuffer (Int_t buffersize, Option_t *option="") override
	Set the buffer size in units of 8 bytes (double).
virtual void	SetErrorOption (Option_t *option="")
	Set option to compute profile errors.
void	Streamer (TBuffer &) override
	Stream an object of class TProfile.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
void	Sumw2 (Bool_t flag=kTRUE) override
	Create/delete structure to store sum of squares of weights per bin.
Public Member Functions inherited from TH1D
	TH1D ()
	Constructor.
	TH1D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins)
	Create a 1-Dim histogram with variable bins of type double (see TH1::TH1 for explanation of parameters)
	TH1D (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins)
	Create a 1-Dim histogram with variable bins of type double (see TH1::TH1 for explanation of parameters)
	TH1D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup)
	Create a 1-Dim histogram with fix bins of type double (see TH1::TH1 for explanation of parameters)
	TH1D (const TH1D &h1d)
	Constructor.
	TH1D (const TVectorD &v)
	Create a histogram from a TVectorD by default the histogram name is "TVectorD" and title = "".
	~TH1D () override
	Destructor.
void	AddBinContent (Int_t bin) override
	Increment bin content by 1.
void	AddBinContent (Int_t bin, Double_t w) override
	Increment bin content by a weight w.
TH1D &	operator= (const TH1D &h1)
	Operator =.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TH1
	~TH1 () override
	Histogram default destructor.
virtual Double_t	AndersonDarlingTest (const TH1 *h2, Double_t &advalue) const
	Same function as above but returning also the test statistic value.
virtual Double_t	AndersonDarlingTest (const TH1 *h2, Option_t *option="") const
	Statistical test of compatibility in shape between this histogram and h2, using the Anderson-Darling 2 sample test.
void	Browse (TBrowser *b) override
	Browse the Histogram object.
virtual Bool_t	CanExtendAllAxes () const
	Returns true if all axes are extendable.
virtual Double_t	Chi2Test (const TH1 *h2, Option_t *option="UU", Double_t *res=nullptr) const
	\( \chi^{2} \) test for comparing weighted and unweighted histograms
virtual Double_t	Chi2TestX (const TH1 *h2, Double_t &chi2, Int_t &ndf, Int_t &igood, Option_t *option="UU", Double_t *res=nullptr) const
	The computation routine of the Chisquare test.
virtual Double_t	Chisquare (TF1 *f1, Option_t *option="") const
	Compute and return the chisquare of this histogram with respect to a function The chisquare is computed by weighting each histogram point by the bin error By default the full range of the histogram is used.
virtual void	ClearUnderflowAndOverflow ()
	Remove all the content from the underflow and overflow bins, without changing the number of entries After calling this method, every undeflow and overflow bins will have content 0.0 The Sumw2 is also cleared, since there is no more content in the bins.
TObject *	Clone (const char *newname="") const override
	Make a complete copy of the underlying object.
virtual Double_t	ComputeIntegral (Bool_t onlyPositive=false)
	Compute integral (cumulative sum of bins) The result stored in fIntegral is used by the GetRandom functions.
virtual void	DirectoryAutoAdd (TDirectory *)
	Perform the automatic addition of the histogram to the given directory.
Int_t	DistancetoPrimitive (Int_t px, Int_t py) override
	Compute distance from point px,py to a line.
void	Draw (Option_t *option="") override
	Draw this histogram with options.
virtual TH1 *	DrawCopy (Option_t *option="", const char *name_postfix="_copy") const
	Copy this histogram and Draw in the current pad.
virtual TH1 *	DrawNormalized (Option_t *option="", Double_t norm=1) const
	Draw a normalized copy of this histogram.
virtual void	DrawPanel ()
	Display a panel with all histogram drawing options.
virtual void	Eval (TF1 *f1, Option_t *option="")
	Evaluate function f1 at the center of bins of this histogram.
void	ExecuteEvent (Int_t event, Int_t px, Int_t py) override
	Execute action corresponding to one event.
virtual TH1 *	FFT (TH1 *h_output, Option_t *option)
	This function allows to do discrete Fourier transforms of TH1 and TH2.
virtual void	FillRandom (const char *fname, Int_t ntimes=5000, TRandom *rng=nullptr)
	Fill histogram following distribution in function fname.
virtual void	FillRandom (TH1 *h, Int_t ntimes=5000, TRandom *rng=nullptr)
	Fill histogram following distribution in histogram h.
virtual Int_t	FindBin (Double_t x, Double_t y=0, Double_t z=0)
	Return Global bin number corresponding to x,y,z.
virtual Int_t	FindFirstBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const
	Find first bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1.
virtual Int_t	FindFixBin (Double_t x, Double_t y=0, Double_t z=0) const
	Return Global bin number corresponding to x,y,z.
virtual Int_t	FindLastBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const
	Find last bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1.
TObject *	FindObject (const char *name) const override
	Search object named name in the list of functions.
TObject *	FindObject (const TObject *obj) const override
	Search object obj in the list of functions.
virtual TFitResultPtr	Fit (const char *formula, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0)
	Fit histogram with function fname.
virtual TFitResultPtr	Fit (TF1 *f1, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0)
	Fit histogram with the function pointer f1.
virtual void	FitPanel ()
	Display a panel with all histogram fit options.
TH1 *	GetAsymmetry (TH1 *h2, Double_t c2=1, Double_t dc2=0)
	Return a histogram containing the asymmetry of this histogram with h2, where the asymmetry is defined as:
virtual Color_t	GetAxisColor (Option_t *axis="X") const
	Return the number of divisions for "axis".
virtual Float_t	GetBarOffset () const
virtual Float_t	GetBarWidth () const
virtual Int_t	GetBin (Int_t binx, Int_t biny=0, Int_t binz=0) const
	Return Global bin number corresponding to binx,y,z.
virtual Double_t	GetBinCenter (Int_t bin) const
	Return bin center for 1D histogram.
virtual Double_t	GetBinErrorLow (Int_t bin) const
	Return lower error associated to bin number bin.
virtual EBinErrorOpt	GetBinErrorOption () const
virtual Double_t	GetBinErrorUp (Int_t bin) const
	Return upper error associated to bin number bin.
virtual Double_t	GetBinLowEdge (Int_t bin) const
	Return bin lower edge for 1D histogram.
virtual Double_t	GetBinWidth (Int_t bin) const
	Return bin width for 1D histogram.
virtual Double_t	GetBinWithContent (Double_t c, Int_t &binx, Int_t firstx=0, Int_t lastx=0, Double_t maxdiff=0) const
	Compute first binx in the range [firstx,lastx] for which diff = abs(bin_content-c) <= maxdiff.
virtual void	GetBinXYZ (Int_t binglobal, Int_t &binx, Int_t &biny, Int_t &binz) const
	Return binx, biny, binz corresponding to the global bin number globalbin see TH1::GetBin function above.
const Double_t *	GetBuffer () const
Int_t	GetBufferLength () const
Int_t	GetBufferSize () const
virtual Double_t	GetCellContent (Int_t binx, Int_t biny) const
virtual Double_t	GetCellError (Int_t binx, Int_t biny) const
virtual void	GetCenter (Double_t *center) const
	Fill array with center of bins for 1D histogram Better to use h1.GetXaxis()->GetCenter(center)
virtual Int_t	GetContour (Double_t *levels=nullptr)
	Return contour values into array levels if pointer levels is non zero.
virtual Double_t	GetContourLevel (Int_t level) const
	Return value of contour number level.
virtual Double_t	GetContourLevelPad (Int_t level) const
	Return the value of contour number "level" in Pad coordinates.
TH1 *	GetCumulative (Bool_t forward=kTRUE, const char *suffix="_cumulative") const
	Return a pointer to a histogram containing the cumulative content.
virtual Int_t	GetDimension () const
TDirectory *	GetDirectory () const
virtual Double_t	GetEffectiveEntries () const
	Number of effective entries of the histogram.
virtual Double_t	GetEntries () const
	Return the current number of entries.
virtual TF1 *	GetFunction (const char *name) const
	Return pointer to function with name.
virtual Double_t *	GetIntegral ()
	Return a pointer to the array of bins integral.
virtual Double_t	GetKurtosis (Int_t axis=1) const
virtual Color_t	GetLabelColor (Option_t *axis="X") const
	Return the "axis" label color.
virtual Style_t	GetLabelFont (Option_t *axis="X") const
	Return the "axis" label font.
virtual Float_t	GetLabelOffset (Option_t *axis="X") const
	Return the "axis" label offset.
virtual Float_t	GetLabelSize (Option_t *axis="X") const
	Return the "axis" label size.
TList *	GetListOfFunctions () const
virtual void	GetLowEdge (Double_t *edge) const
	Fill array with low edge of bins for 1D histogram Better to use h1.GetXaxis()->GetLowEdge(edge)
virtual Double_t	GetMaximum (Double_t maxval=FLT_MAX) const
	Return maximum value smaller than maxval of bins in the range, unless the value has been overridden by TH1::SetMaximum, in which case it returns that value.
virtual Int_t	GetMaximumBin () const
	Return location of bin with maximum value in the range.
virtual Int_t	GetMaximumBin (Int_t &locmax, Int_t &locmay, Int_t &locmaz) const
	Return location of bin with maximum value in the range.
virtual Double_t	GetMaximumStored () const
virtual Double_t	GetMean (Int_t axis=1) const
	For axis = 1,2 or 3 returns the mean value of the histogram along X,Y or Z axis.
virtual Double_t	GetMeanError (Int_t axis=1) const
	Return standard error of mean of this histogram along the X axis.
virtual Double_t	GetMinimum (Double_t minval=-FLT_MAX) const
	Return minimum value larger than minval of bins in the range, unless the value has been overridden by TH1::SetMinimum, in which case it returns that value.
virtual void	GetMinimumAndMaximum (Double_t &min, Double_t &max) const
	Retrieve the minimum and maximum values in the histogram.
virtual Int_t	GetMinimumBin () const
	Return location of bin with minimum value in the range.
virtual Int_t	GetMinimumBin (Int_t &locmix, Int_t &locmiy, Int_t &locmiz) const
	Return location of bin with minimum value in the range.
virtual Double_t	GetMinimumStored () const
virtual Int_t	GetNbinsX () const
virtual Int_t	GetNbinsY () const
virtual Int_t	GetNbinsZ () const
virtual Int_t	GetNcells () const
virtual Int_t	GetNdivisions (Option_t *axis="X") const
	Return the number of divisions for "axis".
virtual Double_t	GetNormFactor () const
char *	GetObjectInfo (Int_t px, Int_t py) const override
	Redefines TObject::GetObjectInfo.
Option_t *	GetOption () const override
TVirtualHistPainter *	GetPainter (Option_t *option="")
	Return pointer to painter.
virtual Int_t	GetQuantiles (Int_t nprobSum, Double_t *q, const Double_t *probSum=nullptr)
	Compute Quantiles for this histogram Quantile x_q of a probability distribution Function F is defined as.
virtual Double_t	GetRandom (TRandom *rng=nullptr) const
	Return a random number distributed according the histogram bin contents.
Double_t	GetRMS (Int_t axis=1) const
	This function returns the Standard Deviation (Sigma) of the distribution not the Root Mean Square (RMS).
Double_t	GetRMSError (Int_t axis=1) const
virtual Double_t	GetSkewness (Int_t axis=1) const
EStatOverflows	GetStatOverflows () const
	Get the behaviour adopted by the object about the statoverflows. See EStatOverflows for more information.
virtual Double_t	GetStdDev (Int_t axis=1) const
	Returns the Standard Deviation (Sigma).
virtual Double_t	GetStdDevError (Int_t axis=1) const
	Return error of standard deviation estimation for Normal distribution.
virtual Double_t	GetSumOfWeights () const
	Return the sum of weights excluding under/overflows.
virtual TArrayD *	GetSumw2 ()
virtual const TArrayD *	GetSumw2 () const
virtual Int_t	GetSumw2N () const
virtual Float_t	GetTickLength (Option_t *axis="X") const
	Return the "axis" tick length.
virtual Style_t	GetTitleFont (Option_t *axis="X") const
	Return the "axis" title font.
virtual Float_t	GetTitleOffset (Option_t *axis="X") const
	Return the "axis" title offset.
virtual Float_t	GetTitleSize (Option_t *axis="X") const
	Return the "axis" title size.
TAxis *	GetXaxis ()
const TAxis *	GetXaxis () const
TAxis *	GetYaxis ()
const TAxis *	GetYaxis () const
TAxis *	GetZaxis ()
const TAxis *	GetZaxis () const
virtual Double_t	Integral (Int_t binx1, Int_t binx2, Option_t *option="") const
	Return integral of bin contents in range [binx1,binx2].
virtual Double_t	Integral (Option_t *option="") const
	Return integral of bin contents.
virtual Double_t	IntegralAndError (Int_t binx1, Int_t binx2, Double_t &err, Option_t *option="") const
	Return integral of bin contents in range [binx1,binx2] and its error.
virtual Double_t	Interpolate (Double_t x) const
	Given a point x, approximates the value via linear interpolation based on the two nearest bin centers.
virtual Double_t	Interpolate (Double_t x, Double_t y) const
	2d Interpolation. Not yet implemented.
virtual Double_t	Interpolate (Double_t x, Double_t y, Double_t z) const
	3d Interpolation. Not yet implemented.
Bool_t	IsBinOverflow (Int_t bin, Int_t axis=0) const
	Return true if the bin is overflow.
Bool_t	IsBinUnderflow (Int_t bin, Int_t axis=0) const
	Return true if the bin is underflow.
virtual Bool_t	IsHighlight () const
virtual Double_t	KolmogorovTest (const TH1 *h2, Option_t *option="") const
	Statistical test of compatibility in shape between this histogram and h2, using Kolmogorov test.
Long64_t	Merge (TCollection *list, Option_t *option)
	Add all histograms in the collection to this histogram.
void	Paint (Option_t *option="") override
	Control routine to paint any kind of histograms.
void	Print (Option_t *option="") const override
	Print some global quantities for this histogram.
virtual void	RebinAxis (Double_t x, TAxis *axis)
virtual TH1 *	RebinX (Int_t ngroup=2, const char *newname="")
virtual void	Rebuild (Option_t *option="")
	Using the current bin info, recompute the arrays for contents and errors.
void	RecursiveRemove (TObject *obj) override
	Recursively remove object from the list of functions.
virtual void	ResetStats ()
	Reset the statistics including the number of entries and replace with values calculated from bin content.
virtual void	SetAxisColor (Color_t color=1, Option_t *axis="X")
	Set color to draw the axis line and tick marks.
virtual void	SetAxisRange (Double_t xmin, Double_t xmax, Option_t *axis="X")
	Set the "axis" range.
virtual void	SetBarOffset (Float_t offset=0.25)
	Set the bar offset as fraction of the bin width for drawing mode "B".
virtual void	SetBarWidth (Float_t width=0.5)
	Set the width of bars as fraction of the bin width for drawing mode "B".
virtual void	SetBinContent (Int_t bin, Double_t content)
	Set bin content see convention for numbering bins in TH1::GetBin In case the bin number is greater than the number of bins and the timedisplay option is set or CanExtendAllAxes(), the number of bins is automatically doubled to accommodate the new bin.
virtual void	SetBinContent (Int_t bin, Int_t, Double_t content)
virtual void	SetBinContent (Int_t bin, Int_t, Int_t, Double_t content)
virtual void	SetBinError (Int_t bin, Double_t error)
	Set the bin Error Note that this resets the bin eror option to be of Normal Type and for the non-empty bin the bin error is set by default to the square root of their content.
virtual void	SetBinError (Int_t binx, Int_t biny, Double_t error)
	See convention for numbering bins in TH1::GetBin.
virtual void	SetBinError (Int_t binx, Int_t biny, Int_t binz, Double_t error)
	See convention for numbering bins in TH1::GetBin.
virtual void	SetBinErrorOption (EBinErrorOpt type)
virtual UInt_t	SetCanExtend (UInt_t extendBitMask)
	Make the histogram axes extendable / not extendable according to the bit mask returns the previous bit mask specifying which axes are extendable.
virtual void	SetCellContent (Int_t binx, Int_t biny, Double_t content)
virtual void	SetCellError (Int_t binx, Int_t biny, Double_t content)
virtual void	SetContent (const Double_t *content)
	Replace bin contents by the contents of array content.
virtual void	SetContour (Int_t nlevels, const Double_t *levels=nullptr)
	Set the number and values of contour levels.
virtual void	SetContourLevel (Int_t level, Double_t value)
	Set value for one contour level.
virtual void	SetDirectory (TDirectory *dir)
	By default, when a histogram is created, it is added to the list of histogram objects in the current directory in memory.
virtual void	SetEntries (Double_t n)
virtual void	SetError (const Double_t *error)
	Replace bin errors by values in array error.
virtual void	SetHighlight (Bool_t set=kTRUE)
	Set highlight (enable/disable) mode for the histogram by default highlight mode is disable.
virtual void	SetLabelColor (Color_t color=1, Option_t *axis="X")
	Set axis labels color.
virtual void	SetLabelFont (Style_t font=62, Option_t *axis="X")
	Set font number used to draw axis labels.
virtual void	SetLabelOffset (Float_t offset=0.005, Option_t *axis="X")
	Set offset between axis and axis' labels.
virtual void	SetLabelSize (Float_t size=0.02, Option_t *axis="X")
	Set size of axis' labels.
virtual void	SetMaximum (Double_t maximum=-1111)
virtual void	SetMinimum (Double_t minimum=-1111)
void	SetName (const char *name) override
	Change the name of this histogram.
void	SetNameTitle (const char *name, const char *title) override
	Change the name and title of this histogram.
virtual void	SetNdivisions (Int_t n=510, Option_t *axis="X")
	Set the number of divisions to draw an axis.
virtual void	SetNormFactor (Double_t factor=1)
virtual void	SetOption (Option_t *option=" ")
void	SetStatOverflows (EStatOverflows statOverflows)
	See GetStatOverflows for more information.
virtual void	SetStats (Bool_t stats=kTRUE)
	Set statistics option on/off.
virtual void	SetTickLength (Float_t length=0.02, Option_t *axis="X")
	Set the axis' tick marks length.
void	SetTitle (const char *title) override
	Change (i.e.
virtual void	SetTitleFont (Style_t font=62, Option_t *axis="X")
	Set the axis' title font.
virtual void	SetTitleOffset (Float_t offset=1, Option_t *axis="X")
	Specify a parameter offset to control the distance between the axis and the axis' title.
virtual void	SetTitleSize (Float_t size=0.02, Option_t *axis="X")
	Set the axis' title size.
virtual void	SetXTitle (const char *title)
virtual void	SetYTitle (const char *title)
virtual void	SetZTitle (const char *title)
virtual TH1 *	ShowBackground (Int_t niter=20, Option_t *option="same")
	This function calculates the background spectrum in this histogram.
virtual Int_t	ShowPeaks (Double_t sigma=2, Option_t *option="", Double_t threshold=0.05)
	Interface to TSpectrum::Search.
virtual void	Smooth (Int_t ntimes=1, Option_t *option="")
	Smooth bin contents of this histogram.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
void	UseCurrentStyle () override
	Copy current attributes from/to current style.
Public Member Functions inherited from TNamed
	TNamed ()
	TNamed (const char *name, const char *title)
	TNamed (const TNamed &named)
	TNamed copy ctor.
	TNamed (const TString &name, const TString &title)
virtual	~TNamed ()
	TNamed destructor.
void	Clear (Option_t *option="") override
	Set name and title to empty strings ("").
TObject *	Clone (const char *newname="") const override
	Make a clone of an object using the Streamer facility.
Int_t	Compare (const TObject *obj) const override
	Compare two TNamed objects.
virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer.
const char *	GetName () const override
	Returns name of object.
const char *	GetTitle () const override
	Returns title of object.
ULong_t	Hash () const override
	Return hash value for this object.
Bool_t	IsSortable () const override
void	ls (Option_t *option="") const override
	List TNamed name and title.
TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator.
void	Print (Option_t *option="") const override
	Print TNamed name and title.
virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TObject
	TObject ()
	TObject constructor.
	TObject (const TObject &object)
	TObject copy ctor.
virtual	~TObject ()
	TObject destructor.
void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract.
virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad.
ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object.
virtual const char *	ClassName () const
	Returns name of class to which the object belongs.
virtual void	Delete (Option_t *option="")
	Delete this object.
virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs.
virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1).
virtual void	Dump () const
	Dump contents of object on stdout.
virtual void	Error (const char *method, const char *msgfmt,...) const
	Issue error message.
virtual void	Execute (const char *method, const char *params, Int_t *error=nullptr)
	Execute method on this object with the given parameter string, e.g.
virtual void	Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr)
	Execute method on this object with parameters stored in the TObjArray.
virtual void	Fatal (const char *method, const char *msgfmt,...) const
	Issue fatal error message.
virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object.
virtual const char *	GetIconName () const
	Returns mime type name of object.
virtual UInt_t	GetUniqueID () const
	Return the unique object id.
virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out.
Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e.
virtual void	Info (const char *method, const char *msgfmt,...) const
	Issue info message.
virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname".
virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl.
virtual void	Inspect () const
	Dump contents of this object in a graphics canvas.
void	InvertBit (UInt_t f)
Bool_t	IsDestructed () const
	IsDestructed.
virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory).
virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).
R__ALWAYS_INLINE Bool_t	IsOnHeap () const
R__ALWAYS_INLINE 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).
virtual Bool_t	Notify ()
	This method must be overridden to handle object notification.
void	Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete.
void	operator delete (void *ptr)
	Operator delete.
void	operator delete[] (void *ptr)
	Operator delete [].
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.
virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list.
virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory.
void	ResetBit (UInt_t f)
virtual void	SaveAs (const char *filename="", Option_t *option="") const
	Save this object in the file specified by filename.
void	SetBit (UInt_t f)
void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f.
virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object.
virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
virtual void	SysError (const char *method, const char *msgfmt,...) const
	Issue system error message.
R__ALWAYS_INLINE 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.
virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.
virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory.
Public Member Functions inherited from TAttLine
	TAttLine ()
	AttLine default constructor.
	TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth)
	AttLine normal constructor.
virtual	~TAttLine ()
	AttLine destructor.
void	Copy (TAttLine &attline) const
	Copy this line attributes to a new TAttLine.
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.
virtual Color_t	GetLineColor () const
	Return the line color.
virtual Style_t	GetLineStyle () const
	Return the line style.
virtual Width_t	GetLineWidth () const
	Return the line width.
virtual void	Modify ()
	Change current line attributes if necessary.
virtual void	ResetAttLine (Option_t *option="")
	Reset this line attributes to default values.
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.
virtual void	SetLineAttributes ()
	Invoke the DialogCanvas Line attributes.
virtual void	SetLineColor (Color_t lcolor)
	Set the line color.
virtual void	SetLineColorAlpha (Color_t lcolor, Float_t lalpha)
	Set a transparent line color.
virtual void	SetLineStyle (Style_t lstyle)
	Set the line style.
virtual void	SetLineWidth (Width_t lwidth)
	Set the line width.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TAttFill
	TAttFill ()
	AttFill default constructor.
	TAttFill (Color_t fcolor, Style_t fstyle)
	AttFill normal constructor.
virtual	~TAttFill ()
	AttFill destructor.
void	Copy (TAttFill &attfill) const
	Copy this fill attributes to a new TAttFill.
virtual Color_t	GetFillColor () const
	Return the fill area color.
virtual Style_t	GetFillStyle () const
	Return the fill area style.
virtual Bool_t	IsTransparent () const
virtual void	Modify ()
	Change current fill area attributes if necessary.
virtual void	ResetAttFill (Option_t *option="")
	Reset this fill attributes to default values.
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.
virtual void	SetFillAttributes ()
	Invoke the DialogCanvas Fill attributes.
virtual void	SetFillColor (Color_t fcolor)
	Set the fill area color.
virtual void	SetFillColorAlpha (Color_t fcolor, Float_t falpha)
	Set a transparent fill color.
virtual void	SetFillStyle (Style_t fstyle)
	Set the fill area style.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TAttMarker
	TAttMarker ()
	TAttMarker default constructor.
	TAttMarker (Color_t color, Style_t style, Size_t msize)
	TAttMarker normal constructor.
virtual	~TAttMarker ()
	TAttMarker destructor.
void	Copy (TAttMarker &attmarker) const
	Copy this marker attributes to a new TAttMarker.
virtual Color_t	GetMarkerColor () const
	Return the marker color.
virtual Size_t	GetMarkerSize () const
	Return the marker size.
virtual Style_t	GetMarkerStyle () const
	Return the marker style.
virtual void	Modify ()
	Change current marker attributes if necessary.
virtual void	ResetAttMarker (Option_t *toption="")
	Reset this marker attributes to the default values.
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.
virtual void	SetMarkerAttributes ()
	Invoke the DialogCanvas Marker attributes.
virtual void	SetMarkerColor (Color_t mcolor=1)
	Set the marker color.
virtual void	SetMarkerColorAlpha (Color_t mcolor, Float_t malpha)
	Set a transparent marker color.
virtual void	SetMarkerSize (Size_t msize=1)
	Set the marker size.
virtual void	SetMarkerStyle (Style_t mstyle=1)
	Set the marker style.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TArrayD
	TArrayD ()
	Default TArrayD ctor.
	TArrayD (const TArrayD &array)
	Copy constructor.
	TArrayD (Int_t n)
	Create TArrayD object and set array size to n doubles.
	TArrayD (Int_t n, const Double_t *array)
	Create TArrayD object and initialize it with values of array.
virtual	~TArrayD ()
	Delete TArrayD object.
void	AddAt (Double_t c, Int_t i)
	Set the double c value at position i in the array.
void	Adopt (Int_t n, Double_t *array)
	Adopt array arr into TArrayD, i.e.
Double_t	At (Int_t i) const
void	Copy (TArrayD &array) const
Double_t *	GetArray ()
const Double_t *	GetArray () const
Double_t	GetAt (Int_t i) const override
Stat_t	GetSum () const
TArrayD &	operator= (const TArrayD &rhs)
	TArrayD assignment operator.
Double_t &	operator[] (Int_t i)
Double_t	operator[] (Int_t i) const
void	Reset ()
void	Reset (Double_t val)
void	Set (Int_t n) override
	Set size of this array to n doubles.
void	Set (Int_t n, const Double_t *array)
	Set size of this array to n doubles and set the contents This function should not be called if the array was declared via Adopt.
void	SetAt (Double_t v, Int_t i) override
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
Public Member Functions inherited from TArray
	TArray ()
	TArray (const TArray &a)
	TArray (Int_t n)
virtual	~TArray ()
Int_t	GetSize () const
TArray &	operator= (const TArray &rhs)
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Static Public Member Functions
static void	Approximate (Bool_t approx=kTRUE)
	Static function to set the fgApproximate flag.
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TH1D
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TH1
static void	AddDirectory (Bool_t add=kTRUE)
	Sets the flag controlling the automatic add of histograms in memory.
static Bool_t	AddDirectoryStatus ()
	Static function: cannot be inlined on Windows/NT.
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
static Int_t	FitOptionsMake (Option_t *option, Foption_t &Foption)
	Decode string choptin and fill fitOption structure.
static Int_t	GetDefaultBufferSize ()
	Static function return the default buffer size for automatic histograms the parameter fgBufferSize may be changed via SetDefaultBufferSize.
static Bool_t	GetDefaultSumw2 ()
	Return kTRUE if TH1::Sumw2 must be called when creating new histograms.
static void	SetDefaultBufferSize (Int_t buffersize=1000)
	Static function to set the default buffer size for automatic histograms.
static void	SetDefaultSumw2 (Bool_t sumw2=kTRUE)
	When this static function is called with sumw2=kTRUE, all new histograms will automatically activate the storage of the sum of squares of errors, ie TH1::Sumw2 is automatically called.
static void	SmoothArray (Int_t NN, Double_t *XX, Int_t ntimes=1)
	Smooth array xx, translation of Hbook routine hsmoof.F based on algorithm 353QH twice presented by J.
static void	StatOverflows (Bool_t flag=kTRUE)
	if flag=kTRUE, underflows and overflows are used by the Fill functions in the computation of statistics (mean value, StdDev).
static TH1 *	TransformHisto (TVirtualFFT *fft, TH1 *h_output, Option_t *option)
	For a given transform (first parameter), fills the histogram (second parameter) with the transform output data, specified in the third parameter If the 2nd parameter h_output is empty, a new histogram (TH1D or TH2D) is created and the user is responsible for deleting it.
Static Public Member Functions inherited from TNamed
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TObject
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
static Longptr_t	GetDtorOnly ()
	Return destructor only flag.
static Bool_t	GetObjectStat ()
	Get status of object stat flag.
static void	SetDtorOnly (void *obj)
	Set destructor only flag.
static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable.
Static Public Member Functions inherited from TAttLine
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TAttFill
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TAttMarker
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
static Width_t	GetMarkerLineWidth (Style_t style)
	Internal helper function that returns the line width of the given marker style (0 = filled marker)
static Style_t	GetMarkerStyleBase (Style_t style)
	Internal helper function that returns the corresponding marker style with line width 1 for the given style.
Static Public Member Functions inherited from TArrayD
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TArray
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
static TArray *	ReadArray (TBuffer &b, const TClass *clReq)
	Read TArray object from buffer.
static void	WriteArray (TBuffer &b, const TArray *a)
	Write TArray object to buffer.

Protected Member Functions
virtual Int_t	BufferFill (Double_t x, Double_t y, Double_t w)
	accumulate arguments in buffer.
Int_t	BufferFill (Double_t, Double_t) override
	accumulate arguments in buffer.
Int_t	Fill (const Double_t *v)
Double_t	GetBinErrorSqUnchecked (Int_t bin) const override
Double_t	RetrieveBinContent (Int_t bin) const override
	Raw retrieval of bin content on internal data structure see convention for numbering bins in TH1::GetBin.
void	SetBins (const Int_t *nbins, const Double_t *range)
Protected Member Functions inherited from TH1D
void	UpdateBinContent (Int_t bin, Double_t content) override
	Raw update of bin content on internal data structure see convention for numbering bins in TH1::GetBin.
Protected Member Functions inherited from TH1
	TH1 ()
	Histogram default constructor.
	TH1 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins)
	Constructor for variable bin size histograms using an input array of type double.
	TH1 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins)
	Constructor for variable bin size histograms using an input array of type float.
	TH1 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup)
	Constructor for fix bin size histograms.
virtual Int_t	AutoP2FindLimits (Double_t min, Double_t max)
	Buffer-based estimate of the histogram range using the power of 2 algorithm.
Int_t	AxisChoice (Option_t *axis) const
	Choose an axis according to "axis".
virtual void	DoFillN (Int_t ntimes, const Double_t *x, const Double_t *w, Int_t stride=1)
	Internal method to fill histogram content from a vector called directly by TH1::BufferEmpty.
virtual Double_t	DoIntegral (Int_t ix1, Int_t ix2, Int_t iy1, Int_t iy2, Int_t iz1, Int_t iz2, Double_t &err, Option_t *opt, Bool_t doerr=kFALSE) const
	Internal function compute integral and optionally the error between the limits specified by the bin number values working for all histograms (1D, 2D and 3D)
virtual Bool_t	FindNewAxisLimits (const TAxis *axis, const Double_t point, Double_t &newMin, Double_t &newMax)
	finds new limits for the axis so that point is within the range and the limits are compatible with the previous ones (see TH1::Merge).
UInt_t	GetAxisLabelStatus () const
	Internal function used in TH1::Fill to see which axis is full alphanumeric i.e.
Bool_t	GetStatOverflowsBehaviour () const
Bool_t	IsEmpty () const
	Check if a histogram is empty (this is a protected method used mainly by TH1Merger )
virtual void	SavePrimitiveHelp (std::ostream &out, const char *hname, Option_t *option="")
	Helper function for the SavePrimitive functions from TH1 or classes derived from TH1, eg TProfile, TProfile2D.
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).
void	MakeZombie ()
Protected Member Functions inherited from TArray
Bool_t	BoundsOk (const char *where, Int_t at) const
Bool_t	OutOfBoundsError (const char *where, Int_t i) const
	Generate an out-of-bounds error. Always returns false.

Protected Attributes
TArrayD	fBinEntries
	number of entries per bin
TArrayD	fBinSumw2
	Array of sum of squares of weights per bin.
EErrorType	fErrorMode
	Option to compute errors.
Bool_t	fScaling
	! True when TProfile::Scale is called
Double_t	fTsumwy
	Total Sum of weight*Y.
Double_t	fTsumwy2
	Total Sum of weight*Y*Y.
Double_t	fYmax
	Upper limit in Y (if set)
Double_t	fYmin
	Lower limit in Y (if set)
Protected Attributes inherited from TH1
Short_t	fBarOffset
	(1000*offset) for bar charts or legos
Short_t	fBarWidth
	(1000*width) for bar charts or legos
EBinErrorOpt	fBinStatErrOpt
	Option for bin statistical errors.
Double_t *	fBuffer
	[fBufferSize] entry buffer
Int_t	fBufferSize
	fBuffer size
TArrayD	fContour
	Array to display contour levels.
Int_t	fDimension
	! Histogram dimension (1, 2 or 3 dim)
TDirectory *	fDirectory
	! Pointer to directory holding this histogram
Double_t	fEntries
	Number of entries.
TList *	fFunctions
	->Pointer to list of functions (fits and user)
Double_t *	fIntegral
	! Integral of bins used by GetRandom
Double_t	fMaximum
	Maximum value for plotting.
Double_t	fMinimum
	Minimum value for plotting.
Int_t	fNcells
	Number of bins(1D), cells (2D) +U/Overflows.
Double_t	fNormFactor
	Normalization factor.
TString	fOption
	Histogram options.
TVirtualHistPainter *	fPainter
	! Pointer to histogram painter
EStatOverflows	fStatOverflows
	Per object flag to use under/overflows in statistics.
TArrayD	fSumw2
	Array of sum of squares of weights.
Double_t	fTsumw
	Total Sum of weights.
Double_t	fTsumw2
	Total Sum of squares of weights.
Double_t	fTsumwx
	Total Sum of weight*X.
Double_t	fTsumwx2
	Total Sum of weight*X*X.
TAxis	fXaxis
	X axis descriptor.
TAxis	fYaxis
	Y axis descriptor.
TAxis	fZaxis
	Z axis descriptor.
Protected Attributes inherited from TNamed
TString	fName
TString	fTitle
Protected Attributes inherited from TAttLine
Color_t	fLineColor
	Line color.
Style_t	fLineStyle
	Line style.
Width_t	fLineWidth
	Line width.
Protected Attributes inherited from TAttFill
Color_t	fFillColor
	Fill area color.
Style_t	fFillStyle
	Fill area style.
Protected Attributes inherited from TAttMarker
Color_t	fMarkerColor
	Marker color.
Size_t	fMarkerSize
	Marker size.
Style_t	fMarkerStyle
	Marker style.

Static Protected Attributes
static Bool_t	fgApproximate = kFALSE
	bin error approximation option
Static Protected Attributes inherited from TH1
static Bool_t	fgAddDirectory = kTRUE
	! Flag to add histograms to the directory
static Int_t	fgBufferSize = 1000
	! Default buffer size for automatic histograms
static Bool_t	fgDefaultSumw2 = kFALSE
	! Flag to call TH1::Sumw2 automatically at histogram creation time
static Bool_t	fgStatOverflows = kFALSE
	! Flag to use under/overflows in statistics

Private Member Functions
Int_t	Fill (Double_t) override
	Increment bin with abscissa X by 1.
void	FillN (Int_t, const Double_t *, const Double_t *, Int_t) override
	Fill this histogram with an array x and weights w.
Double_t *	GetB ()
Double_t *	GetB2 ()
Double_t *	GetW ()
Double_t *	GetW2 ()
void	SetBins (Int_t, const Double_t *, Int_t, const Double_t *) override
	Redefine x and y axis parameters with variable bin sizes.
void	SetBins (Int_t, const Double_t *, Int_t, const Double_t *, Int_t, const Double_t *) override
	Redefine x, y and z axis parameters with variable bin sizes.
void	SetBins (Int_t, Double_t, Double_t, Int_t, Double_t, Double_t) override
	Redefine x and y axis parameters.
void	SetBins (Int_t, Double_t, Double_t, Int_t, Double_t, Double_t, Int_t, Double_t, Double_t) override
	Redefine x, y and z axis parameters.

Friends
class	TH1Merger
class	TProfileHelper

Additional Inherited Members
Public Types inherited from TH1
enum	{   kNoAxis = 0 , kXaxis = (1ULL << ( 0 )) , kYaxis = (1ULL << ( 1 )) , kZaxis = (1ULL << ( 2 )) ,   kAllAxes = kXaxis | kYaxis | kZaxis }
	Enumeration specifying which axes can be extended. More...
enum	{ kNstat = 13 }
	Size of statistics data (size of array used in GetStats()/ PutStats ) More...
enum	EBinErrorOpt { kNormal = 0 , kPoisson = 1 , kPoisson2 = 2 }
	Enumeration specifying type of statistics for bin errors. More...
enum	EStatOverflows { kIgnore = 0 , kConsider = 1 , kNeutral = 2 }
	Enumeration specifying the way to treat statoverflow. More...
enum	EStatusBits {   kNoStats = (1ULL << ( 9 )) , kUserContour = (1ULL << ( 10 )) , kLogX = (1ULL << ( 15 )) , kIsZoomed = (1ULL << ( 16 )) ,   kNoTitle = (1ULL << ( 17 )) , kIsAverage = (1ULL << ( 18 )) , kIsNotW = (1ULL << ( 19 )) , kAutoBinPTwo = (1ULL << ( 20 )) ,   kIsHighlight = (1ULL << ( 21 )) }
	TH1 status bits. More...
Public Types inherited from TObject
enum	{   kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 ,   kBitMask = 0x00ffffff }
enum	{ kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) }
enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }
enum	EStatusBits {   kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) ,   kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }
Public Attributes inherited from TArrayD
Double_t *	fArray
Public Attributes inherited from TArray
Int_t	fN
Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }
Static Protected Member Functions inherited from TH1
static Int_t	AutoP2GetBins (Int_t n)
	Auxiliary function to get the next power of 2 integer value larger then n.
static Double_t	AutoP2GetPower2 (Double_t x, Bool_t next=kTRUE)
	Auxiliary function to get the power of 2 next (larger) or previous (smaller) a given x.
static bool	CheckAxisLimits (const TAxis *a1, const TAxis *a2)
	Check that the axis limits of the histograms are the same.
static bool	CheckBinLabels (const TAxis *a1, const TAxis *a2)
	Check that axis have same labels.
static bool	CheckBinLimits (const TAxis *a1, const TAxis *a2)
	Check bin limits.
static bool	CheckConsistency (const TH1 *h1, const TH1 *h2)
	Check histogram compatibility.
static bool	CheckConsistentSubAxes (const TAxis *a1, Int_t firstBin1, Int_t lastBin1, const TAxis *a2, Int_t firstBin2=0, Int_t lastBin2=0)
	Check that two sub axis are the same.
static bool	CheckEqualAxes (const TAxis *a1, const TAxis *a2)
	Check that the axis are the same.
static Bool_t	RecomputeAxisLimits (TAxis &destAxis, const TAxis &anAxis)
	Finds new limits for the axis for the Merge function.
static Bool_t	SameLimitsAndNBins (const TAxis &axis1, const TAxis &axis2)
	Same limits and bins.

#include <TProfile.h>

Inheritance diagram for TProfile:

Constructor & Destructor Documentation

TProfile() [1/7]

TProfile::TProfile

(

)

Default constructor for Profile histograms.

Definition at line 92 of file TProfile.cxx.

TProfile() [2/7]

TProfile::TProfile	(	const char *	name,
		const char *	title,
		Int_t	nbins,
		Double_t	xlow,
		Double_t	xup,
		Option_t *	option = ""
	)

Normal Constructor for Profile histograms.

The first five parameters are similar to TH1D::TH1D. All values of y are accepted at filling time. To fill a profile histogram, one must use TProfile::Fill function.

Note that when filling the profile histogram the function Fill checks if the variable y is between fYmin and fYmax. If a minimum or maximum value is set for the Y scale before filling, then all values below ymin or above ymax will be discarded. Setting the minimum or maximum value for the Y scale before filling has the same effect as calling the special TProfile constructor below where ymin and ymax are specified.

H(j) is printed as the channel contents. The errors displayed are s(j) if option='S' (spread option), or e(j) if CHOPT='' (error on mean).

See TProfile::BuildOptions() for explanation of parameters

see also comments in the TH1 base class constructors

Definition at line 126 of file TProfile.cxx.

TProfile() [3/7]

TProfile::TProfile	(	const char *	name,
		const char *	title,
		Int_t	nbins,
		Double_t	xlow,
		Double_t	xup,
		Double_t	ylow,
		Double_t	yup,
		Option_t *	option = ""
	)

Constructor for Profile histograms with range in y.

The first five parameters are similar to TH1D::TH1D. Only the values of Y between ylow and yup will be considered at filling time. ylow and yup will also be the maximum and minimum values on the y scale when drawing the profile.

See TProfile::BuildOptions for more explanations on errors

see also comments in the TH1 base class constructors

Definition at line 180 of file TProfile.cxx.

TProfile() [4/7]

TProfile::TProfile	(	const char *	name,
		const char *	title,
		Int_t	nbins,
		const Float_t *	xbins,
		Option_t *	option = ""
	)

Constructor for Profile histograms with variable bin size.

See TProfile::BuildOptions() for more explanations on errors see also comments in the TH1 base class constructors

Definition at line 138 of file TProfile.cxx.

TProfile() [5/7]

TProfile::TProfile	(	const char *	name,
		const char *	title,
		Int_t	nbins,
		const Double_t *	xbins,
		Option_t *	option = ""
	)

Constructor for Profile histograms with variable bin size.

See TProfile::BuildOptions for more explanations on errors see also comments in the TH1 base class constructors

Definition at line 150 of file TProfile.cxx.

TProfile() [6/7]

TProfile::TProfile	(	const char *	name,
		const char *	title,
		Int_t	nbins,
		const Double_t *	xbins,
		Double_t	ylow,
		Double_t	yup,
		Option_t *	option = ""
	)

Constructor for Profile histograms with variable bin size.

See TProfile::BuildOptions for more explanations on errors

see also comments in the TH1 base class constructors

Definition at line 162 of file TProfile.cxx.

TProfile() [7/7]

TProfile::TProfile

(

const TProfile &

profile

)

Copy constructor.

Definition at line 244 of file TProfile.cxx.

~TProfile()

TProfile::~TProfile ( )

override

Default destructor for Profile histograms.

Definition at line 100 of file TProfile.cxx.

Member Function Documentation

Add() [1/3]

Bool_t TProfile::Add ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1  )

overridevirtual

Replace contents of this profile by the addition of h1 and h2.

this = c1*h1 + c2*h2

c1 and c2 are considered as weights applied to the two summed profiles. The operation acts therefore like merging the two profiles with a weight c1 and c2

Reimplemented from TH1.

Definition at line 291 of file TProfile.cxx.

Add() [2/3]

Bool_t TProfile::Add ( const TH1 *  h1, Double_t  c1 = 1  )

overridevirtual

Performs the operation: this = this + c1*h1.

Reimplemented from TH1.

Definition at line 269 of file TProfile.cxx.

Add() [3/3]

Bool_t TProfile::Add ( TF1 *  h1, Double_t  c1 = 1, Option_t *  option = ""  )

overridevirtual

Performs the operation: this = this + c1*f1.

Reimplemented from TH1.

Definition at line 259 of file TProfile.cxx.

Approximate()

void TProfile::Approximate ( Bool_t  approx = kTRUE )

static

Static function to set the fgApproximate flag.

When the flag is true, the function GetBinError will approximate the bin error with the average profile error on all bins in the following situation only

• the number of bins in the profile is less than 1002
• the bin number of entries is small ( <5)
• the estimated bin error is extremely small compared to the bin content (see TProfile::GetBinError)

Definition at line 321 of file TProfile.cxx.

BufferEmpty()

Int_t TProfile::BufferEmpty ( Int_t  action = 0 )

overridevirtual

Fill histogram with all entries in the buffer.

• action = -1 histogram is reset and refilled from the buffer (called by THistPainter::Paint)
• action = 0 histogram is filled from the buffer
• action = 1 histogram is filled and buffer is deleted The buffer is automatically deleted when the number of entries in the buffer is greater than the number of entries in the histogram

Reimplemented from TH1.

Definition at line 335 of file TProfile.cxx.

BufferFill() [1/2]

Int_t TProfile::BufferFill ( Double_t  x, Double_t  y, Double_t  w  )

protectedvirtual

accumulate arguments in buffer.

When buffer is full, empty the buffer.

• fBuffer[0] = number of entries in buffer
• fBuffer[1] = w of first entry
• fBuffer[2] = x of first entry
• fBuffer[3] = y of first entry

Definition at line 393 of file TProfile.cxx.

BufferFill() [2/2]

Int_t TProfile::BufferFill ( Double_t  x, Double_t  w  )

inlineoverrideprotectedvirtual

accumulate arguments in buffer.

When buffer is full, empty the buffer

• fBuffer[0] = number of entries in buffer
• fBuffer[1] = w of first entry
• fBuffer[2] = x of first entry

Reimplemented from TH1.

Definition at line 50 of file TProfile.h.

BuildOptions()

void TProfile::BuildOptions	(	Double_t	ymin,
		Double_t	ymax,
		Option_t *	option
	)

Set Profile histogram structure and options.

Parameters

[in]	ymin	minimum value allowed for y
[in]	ymax	maximum value allowed for y if (ymin = ymax = 0) there are no limits on the allowed y values (ymin = -inf, ymax = +inf)
[in]	option	this is the option for the computation of the y error of the profile ( TProfile::GetBinError ) possible values for the options are: ' ' (Default) the bin errors are the standard error on the mean of Y = S(Y)/SQRT(N) where S(Y) is the standard deviation (RMS) of the Y data in the bin and N is the number of bin entries (from TProfile::GetBinEntries(ibin) ) (i.e the errors are the standard error on the bin content of the profile) 's' Errors are the standard deviation of Y, S(Y) 'i' Errors are S(Y)/SQRT(N) (standard error on the mean as in the default) The only difference is only when the standard deviation in Y is zero. In this case the error a standard deviation = 1/SQRT(12) is assumed and the error is 1./SQRT(12*N). This approximation assumes that the Y values are integer (e.g. ADC counts) and have an implicit uncertainty of y +/- 0.5. With the assumption that the probability that y takes any value between y-0.5 and y+0.5 is uniform, its standard error is 1/SQRT(12) 'g' Errors are 1./SQRT(W) where W is the sum of the weights for the bin j W is obtained as from TProfile::GetBinEntries(ibin) This errors corresponds to the standard deviation of weighted mean where each measurement Y is uncorrelated and has an error sigma, which is expressed in the weight used to fill the Profile: w = 1/sigma^2 The resulting error in TProfile is then 1./SQRT( Sum(1./sigma^2) )

In the case of Profile filled weights and with TProfile::Sumw2() called, STD(Y) is the standard deviation of the weighted sample Y and N is in this case the number of effective entries (TProfile::GetBinEffectiveEntries(ibin) )

If a bin has N data points all with the same value Y (especially possible when dealing with integers), the spread in Y for that bin is zero, and the uncertainty assigned is also zero, and the bin is ignored in making subsequent fits. To avoid this problem one can use an approximation for the standard deviation S(Y), by using the average of all the S(Y) of the other Profile bins. To use this approximation one must call before TProfile::Approximate This approximation applies only for the default and the 's' options

Definition at line 227 of file TProfile.cxx.

Class()

static TClass * TProfile::Class ( )

static

Returns

TClass describing this class

Class_Name()

static const char * TProfile::Class_Name ( )

static

Returns

Name of this class

Class_Version()

static constexpr Version_t TProfile::Class_Version ( )

inlinestaticconstexpr

Returns

Version of this class

Definition at line 138 of file TProfile.h.

Copy()

void TProfile::Copy ( TObject &  hnew ) const

overridevirtual

Copy a Profile histogram to a new profile histogram.

Reimplemented from TH1D.

Definition at line 420 of file TProfile.cxx.

DeclFileName()

static const char * TProfile::DeclFileName ( )

inlinestatic

Returns

Name of the file containing the class declaration

Definition at line 138 of file TProfile.h.

Divide() [1/3]

Bool_t TProfile::Divide ( const TH1 *  h1 )

overridevirtual

Divide this profile by h1.

this = this/h1

This function accepts to divide a TProfile by a histogram

The function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 465 of file TProfile.cxx.

Divide() [2/3]

Bool_t TProfile::Divide ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1, Option_t *  option = ""  )

overridevirtual

Replace contents of this profile by the division of h1 by h2.

this = c1*h1/(c2*h2)

The function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 544 of file TProfile.cxx.

Divide() [3/3]

Bool_t TProfile::Divide ( TF1 *  h1, Double_t  c1 = 1  )

overridevirtual

Performs the operation: this = this/(c1*f1).

This function is not implemented for the TProfile

Reimplemented from TH1.

Definition at line 450 of file TProfile.cxx.

ExtendAxis()

void TProfile::ExtendAxis ( Double_t  x, TAxis *  axis  )

overridevirtual

Profile histogram is resized along x axis such that x is in the axis range.

The new axis limits are recomputed by doubling iteratively the current axis range until the specified value x is within the limits. The algorithm makes a copy of the histogram, then loops on all bins of the old histogram to fill the extended histogram. Takes into account errors (Sumw2) if any. The axis must be extendable before invoking this function.

Ex: h->GetXaxis()->SetCanExtend(kTRUE)

Reimplemented from TH1.

Definition at line 1580 of file TProfile.cxx.

Fill() [1/6]

Int_t TProfile::Fill ( const char *  namex, Double_t  y  )

overridevirtual

Fill a Profile histogram (no weights).

Reimplemented from TH1.

Definition at line 677 of file TProfile.cxx.

Fill() [2/6]

Int_t TProfile::Fill ( const char *  namex, Double_t  y, Double_t  w  )

virtual

Fill a Profile histogram with weights.

Definition at line 739 of file TProfile.cxx.

Fill() [3/6]

Int_t TProfile::Fill ( const Double_t *  v )

inlineprotected

Definition at line 55 of file TProfile.h.

Fill() [4/6]

Int_t TProfile::Fill ( Double_t  x, Double_t  y  )

overridevirtual

Fill a Profile histogram (no weights).

Reimplemented from TH1.

Definition at line 647 of file TProfile.cxx.

Fill() [5/6]

Int_t TProfile::Fill ( Double_t  x, Double_t  y, Double_t  w  )

virtual

Fill a Profile histogram with weights.

Definition at line 707 of file TProfile.cxx.

Fill() [6/6]

Int_t TProfile::Fill ( Double_t  x )

inlineoverrideprivatevirtual

Increment bin with abscissa X by 1.

if x is less than the low-edge of the first bin, the Underflow bin is incremented if x is equal to or greater than the upper edge of last bin, the Overflow bin is incremented

If the storage of the sum of squares of weights has been triggered, via the function Sumw2, then the sum of the squares of weights is incremented by 1 in the bin corresponding to x.

The function returns the corresponding bin number which has its content incremented by 1

Reimplemented from TH1.

Definition at line 62 of file TProfile.h.

FillN() [1/2]

void TProfile::FillN ( Int_t  ntimes, const Double_t *  x, const Double_t *  y, const Double_t *  w, Int_t  stride = 1  )

overridevirtual

Fill a Profile histogram with weights.

Reimplemented from TH1.

Definition at line 773 of file TProfile.cxx.

FillN() [2/2]

void TProfile::FillN ( Int_t  ntimes, const Double_t *  x, const Double_t *  w, Int_t  stride  )

inlineoverrideprivatevirtual

Fill this histogram with an array x and weights w.

Parameters

[in]	ntimes	number of entries in arrays x and w (array size must be ntimes*stride)
[in]	x	array of values to be histogrammed
[in]	w	array of weighs
[in]	stride	step size through arrays x and w

If the weight is not equal to 1, the storage of the sum of squares of weights is automatically triggered and the sum of the squares of weights is incremented by \( w^2 \) in the bin corresponding to x. if w is NULL each entry is assumed a weight=1

Reimplemented from TH1.

Definition at line 63 of file TProfile.h.

GetB()

Double_t * TProfile::GetB ( )

inlineprivate

Definition at line 64 of file TProfile.h.

GetB2()

Double_t * TProfile::GetB2 ( )

inlineprivate

Definition at line 65 of file TProfile.h.

GetBinContent() [1/3]

Double_t TProfile::GetBinContent ( Int_t  bin ) const

overridevirtual

Return bin content of a Profile histogram.

Reimplemented from TH1.

Definition at line 821 of file TProfile.cxx.

GetBinContent() [2/3]

Double_t TProfile::GetBinContent ( Int_t  bin, Int_t    ) const

inlineoverridevirtual

Reimplemented from TH1.

Definition at line 104 of file TProfile.h.

GetBinContent() [3/3]

Double_t TProfile::GetBinContent ( Int_t  bin, Int_t  , Int_t    ) const

inlineoverridevirtual

Reimplemented from TH1.

Definition at line 105 of file TProfile.h.

GetBinEffectiveEntries()

Double_t TProfile::GetBinEffectiveEntries ( Int_t  bin ) const

virtual

Return bin effective entries for a weighted filled Profile histogram.

In case of an unweighted profile, it is equivalent to the number of entries per bin The effective entries is defined as the square of the sum of the weights divided by the sum of the weights square. TProfile::Sumw2() must be called before filling the profile with weights. Only by calling this method the sum of the square of the weights per bin is stored.

Definition at line 850 of file TProfile.cxx.

GetBinEntries()

Double_t TProfile::GetBinEntries ( Int_t  bin ) const

virtual

Return bin entries of a Profile histogram.

Definition at line 834 of file TProfile.cxx.

GetBinError() [1/3]

Double_t TProfile::GetBinError ( Int_t  bin ) const

overridevirtual

Return bin error of a Profile histogram.

Computing errors: A moving field

The computation of errors for a TProfile has evolved with the versions of ROOT. The difficulty is in computing errors for bins with low statistics.

• prior to version 3.00, we had no special treatment of low statistic bins. As a result, these bins had huge errors. The reason is that the expression eprim2 is very close to 0 (rounding problems) or 0.
• in version 3.00 (18 Dec 2000), the algorithm is protected for values of eprim2 very small and the bin errors set to the average bin errors, following recommendations from a group of users.
• in version 3.01 (19 Apr 2001), it is realized that the algorithm above should be applied only to low statistic bins.
• in version 3.02 (26 Sep 2001), the same group of users recommend instead to take two times the average error on all bins for these low statistics bins giving a very small value for eprim2.
• in version 3.04 (Nov 2002), the algorithm is modified/protected for the case when a TProfile is projected (ProjectionX). The previous algorithm generated a N^2 problem when projecting a TProfile with a large number of bins (eg 100000).
• in version 3.05/06, a new static function TProfile::Approximate is introduced to enable or disable (default) the approximation.

Ideas for improvements of this algorithm are welcome. No suggestions received since our call for advice to roottalk in Jul 2002. see for instance: http://root.cern.ch/root/roottalk/roottalk02/2916.html

Reimplemented from TH1.

Definition at line 885 of file TProfile.cxx.

GetBinError() [2/3]

Double_t TProfile::GetBinError ( Int_t  bin, Int_t    ) const

inlineoverridevirtual

Reimplemented from TH1.

Definition at line 107 of file TProfile.h.

GetBinError() [3/3]

Double_t TProfile::GetBinError ( Int_t  bin, Int_t  , Int_t    ) const

inlineoverridevirtual

Reimplemented from TH1.

Definition at line 108 of file TProfile.h.

GetBinErrorSqUnchecked()

Double_t TProfile::GetBinErrorSqUnchecked ( Int_t  bin ) const

inlineoverrideprotectedvirtual

Reimplemented from TH1.

Definition at line 59 of file TProfile.h.

GetBinSumw2() [1/2]

virtual TArrayD * TProfile::GetBinSumw2 ( )

inlinevirtual

Definition at line 111 of file TProfile.h.

GetBinSumw2() [2/2]

virtual const TArrayD * TProfile::GetBinSumw2 ( ) const

inlinevirtual

Definition at line 112 of file TProfile.h.

GetErrorOption()

Option_t * TProfile::GetErrorOption

(

)

const

Return option to compute profile errors.

Definition at line 893 of file TProfile.cxx.

GetStats()

void TProfile::GetStats ( Double_t *  stats ) const

overridevirtual

fill the array stats from the contents of this profile.

The array stats must be correctly dimensioned in the calling program.

• stats[0] = sumw
• stats[1] = sumw2
• stats[2] = sumwx
• stats[3] = sumwx2
• stats[4] = sumwy
• stats[5] = sumwy2

If no axis-subrange is specified (via TAxis::SetRange), the array stats is simply a copy of the statistics quantities computed at filling time. If a sub-range is specified, the function recomputes these quantities from the bin contents in the current axis range.

Reimplemented from TH1.

Definition at line 918 of file TProfile.cxx.

GetW()

Double_t * TProfile::GetW ( )

inlineprivate

Definition at line 66 of file TProfile.h.

GetW2()

Double_t * TProfile::GetW2 ( )

inlineprivate

Definition at line 67 of file TProfile.h.

GetYmax()

virtual Double_t TProfile::GetYmax ( ) const

inlinevirtual

Definition at line 116 of file TProfile.h.

GetYmin()

virtual Double_t TProfile::GetYmin ( ) const

inlinevirtual

Definition at line 115 of file TProfile.h.

IsA()

TClass * TProfile::IsA ( ) const

inlineoverridevirtual

Returns

TClass describing current object

Reimplemented from TH1D.

Definition at line 138 of file TProfile.h.

LabelsDeflate()

void TProfile::LabelsDeflate ( Option_t *  axis = "X" )

overridevirtual

Reduce the number of bins for this axis to the number of bins having a label.

Reimplemented from TH1.

Definition at line 970 of file TProfile.cxx.

LabelsInflate()

void TProfile::LabelsInflate ( Option_t *  options = "X" )

overridevirtual

Double the number of bins for axis.

Refill histogram This function is called by TAxis::FindBin(const char *label)

Reimplemented from TH1.

Definition at line 980 of file TProfile.cxx.

LabelsOption()

void TProfile::LabelsOption ( Option_t *  option = "h", Option_t *  axis = "X"  )

overridevirtual

Set option(s) to draw axis with labels.

option might have the following values:

• "a" sort by alphabetic order
• ">" sort by decreasing values
• "<" sort by increasing values
• "h" draw labels horizontal
• "v" draw labels vertical
• "u" draw labels up (end of label right adjusted)
• "d" draw labels down (start of label left adjusted)

Reimplemented from TH1.

Definition at line 998 of file TProfile.cxx.

Merge()

Long64_t TProfile::Merge ( TCollection *  li )

overridevirtual

Merge all histograms in the collection in this histogram.

This function computes the min/max for the x axis, compute a new number of bins, if necessary, add bin contents, errors and statistics. If overflows are present and limits are different the function will fail. The function returns the total number of entries in the result histogram if the merge is successful, -1 otherwise.

IMPORTANT remark. The axis x may have different number of bins and different limits, BUT the largest bin width must be a multiple of the smallest bin width and the upper limit must also be a multiple of the bin width.

Reimplemented from TH1.

Definition at line 1189 of file TProfile.cxx.

Multiply() [1/3]

Bool_t TProfile::Multiply ( const TH1 *  h1 )

overridevirtual

Multiply this profile by h1.

this = this*h1

Reimplemented from TH1.

Definition at line 1241 of file TProfile.cxx.

Multiply() [2/3]

Bool_t TProfile::Multiply ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1, Option_t *  option = ""  )

overridevirtual

Replace contents of this profile by multiplication of h1 by h2.

this = (c1*h1)*(c2*h2)

Reimplemented from TH1.

Definition at line 1253 of file TProfile.cxx.

Multiply() [3/3]

Bool_t TProfile::Multiply ( TF1 *  f1, Double_t  c1 = 1  )

overridevirtual

Performs the operation: this = this*c1*f1.

The function return kFALSE if the Multiply operation failed

Reimplemented from TH1.

Definition at line 1199 of file TProfile.cxx.

operator=()

TProfile & TProfile::operator=

(

const TProfile &

profile

)

Definition at line 249 of file TProfile.cxx.

ProjectionX()

TH1D * TProfile::ProjectionX	(	const char *	name = "_px",
		Option_t *	option = "e"
	)		const

Project this profile into a 1-D histogram along X.

The projection is always of the type TH1D.

• if option "E" is specified the errors of the projected histogram are computed and set to be equal to the errors of the profile. Option "E" is defined as the default one in the header file.
• if option "" is specified the histogram errors are simply the sqrt of its content
• if option "B" is specified, the content of bin of the returned histogram will be equal to the GetBinEntries(bin) of the profile, otherwise (default) it will be equal to GetBinContent(bin)
• if option "C=E" the bin contents of the projection are set to the bin errors of the profile
• if option "W" is specified the bin content of the projected histogram is set to the product of the bin content of the profile and the entries. With this option the returned histogram will be equivalent to the one obtained by filling directly a TH1D using the 2-nd value as a weight. This makes sense only for profile filled with weights =1. If not, the error of the projected histogram obtained with this option will not be correct.

Definition at line 1280 of file TProfile.cxx.

PutStats()

void TProfile::PutStats ( Double_t *  stats )

overridevirtual

Replace current statistics with the values in array stats.

Reimplemented from TH1.

Definition at line 1355 of file TProfile.cxx.

Rebin()

TH1 * TProfile::Rebin ( Int_t  ngroup = 2, const char *  newname = "", const Double_t *  xbins = nullptr  )

overridevirtual

Rebin this profile grouping ngroup bins together.

case 1 xbins=0

if newname is not blank a new temporary profile hnew is created. else the current profile is modified (default) The parameter ngroup indicates how many bins of this have to me merged into one bin of hnew If the original profile has errors stored (via Sumw2), the resulting profile has new errors correctly calculated.

examples: if hp is an existing TProfile histogram with 100 bins

hp->Rebin();  //merges two bins in one in hp: previous contents of hp are lost
hp->Rebin(5); //merges five bins in one in hp
TProfile *hnew = hp->Rebin(5,"hnew"); // creates a new profile hnew
                                  //merging 5 bins of hp in one bin

NOTE: If ngroup is not an exact divider of the number of bins, the top limit of the rebinned profile is changed to the upper edge of the bin=newbins*ngroup and the corresponding bins are added to the overflow bin. Statistics will be recomputed from the new bin contents.

case 2 xbins!=0

a new profile is created (you should specify newname). The parameter ngroup is the number of variable size bins in the created profile The array xbins must contain ngroup+1 elements that represent the low-edge of the bins. The data of the old bins are added to the new bin which contains the bin center of the old bins. It is possible that information from the old binning are attached to the under-/overflow bins of the new binning.

examples: if hp is an existing TProfile with 100 bins

Double_t xbins[25] = {...} array of low-edges (xbins[25] is the upper edge of last bin
hp->Rebin(24,"hpnew",xbins);  //creates a new variable bin size profile hpnew

Reimplemented from TH1.

Definition at line 1407 of file TProfile.cxx.

Reset()

void TProfile::Reset ( Option_t *  option = "" )

overridevirtual

Reset contents of a Profile histogram.

Reimplemented from TH1D.

Definition at line 1594 of file TProfile.cxx.

RetrieveBinContent()

Double_t TProfile::RetrieveBinContent ( Int_t  bin ) const

inlineoverrideprotectedvirtual

Raw retrieval of bin content on internal data structure see convention for numbering bins in TH1::GetBin.

Reimplemented from TH1D.

Definition at line 57 of file TProfile.h.

SavePrimitive()

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

overridevirtual

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

Reimplemented from TH1.

Definition at line 1609 of file TProfile.cxx.

Scale()

void TProfile::Scale ( Double_t  c1 = 1, Option_t *  option = ""  )

overridevirtual

Multiply this profile by a constant c1.

this = c1*this

This function uses the services of TProfile::Add

Reimplemented from TH1.

Definition at line 1689 of file TProfile.cxx.

SetBinEntries()

void TProfile::SetBinEntries ( Int_t  bin, Double_t  w  )

virtual

Set the number of entries in bin.

Definition at line 1697 of file TProfile.cxx.

SetBins() [1/7]

void TProfile::SetBins ( const Int_t *  nbins, const Double_t *  range  )

inlineprotected

Definition at line 54 of file TProfile.h.

SetBins() [2/7]

void TProfile::SetBins ( Int_t  nbins, Double_t  xmin, Double_t  xmax  )

overridevirtual

Redefine x axis parameters.

Reimplemented from TH1.

Definition at line 1705 of file TProfile.cxx.

SetBins() [3/7]

void TProfile::SetBins ( Int_t  nx, const Double_t *  xbins  )

overridevirtual

Redefine x axis parameters.

Reimplemented from TH1.

Definition at line 1715 of file TProfile.cxx.

SetBins() [4/7]

void TProfile::SetBins ( Int_t  nx, const Double_t *  xBins, Int_t  ny, const Double_t *  yBins  )

inlineoverrideprivatevirtual

Redefine x and y axis parameters with variable bin sizes.

The X and Y axis parameters are modified. The bins content array is resized if errors (Sumw2) the errors array is resized The previous bin contents are lost To change only the axis limits, see TAxis::SetRange xBins is supposed to be of length nx+1, yBins is supposed to be of length ny+1

Reimplemented from TH1.

Definition at line 70 of file TProfile.h.

SetBins() [5/7]

void TProfile::SetBins ( Int_t  nx, const Double_t *  xBins, Int_t  ny, const Double_t *  yBins, Int_t  nz, const Double_t *  zBins  )

inlineoverrideprivatevirtual

Redefine x, y and z axis parameters with variable bin sizes.

The X, Y and Z axis parameters are modified. The bins content array is resized if errors (Sumw2) the errors array is resized The previous bin contents are lost To change only the axis limits, see TAxis::SetRange xBins is supposed to be of length nx+1, yBins is supposed to be of length ny+1, zBins is supposed to be of length nz+1

Reimplemented from TH1.

Definition at line 74 of file TProfile.h.

SetBins() [6/7]

void TProfile::SetBins ( Int_t  nx, Double_t  xmin, Double_t  xmax, Int_t  ny, Double_t  ymin, Double_t  ymax  )

inlineoverrideprivatevirtual

Redefine x and y axis parameters.

The X and Y axis parameters are modified. The bins content array is resized if errors (Sumw2) the errors array is resized The previous bin contents are lost To change only the axis limits, see TAxis::SetRange

Reimplemented from TH1.

Definition at line 68 of file TProfile.h.

SetBins() [7/7]

void TProfile::SetBins ( Int_t  nx, Double_t  xmin, Double_t  xmax, Int_t  ny, Double_t  ymin, Double_t  ymax, Int_t  nz, Double_t  zmin, Double_t  zmax  )

inlineoverrideprivatevirtual

Redefine x, y and z axis parameters.

The X, Y and Z axis parameters are modified. The bins content array is resized if errors (Sumw2) the errors array is resized The previous bin contents are lost To change only the axis limits, see TAxis::SetRange

Reimplemented from TH1.

Definition at line 72 of file TProfile.h.

SetBinsLength()

void TProfile::SetBinsLength ( Int_t  n = -1 )

overridevirtual

Set total number of bins including under/overflow.

Reallocate bin contents array

Reimplemented from TH1D.

Definition at line 1726 of file TProfile.cxx.

SetBuffer()

void TProfile::SetBuffer ( Int_t  buffersize, Option_t *  option = ""  )

overridevirtual

Set the buffer size in units of 8 bytes (double).

Reimplemented from TH1.

Definition at line 1735 of file TProfile.cxx.

SetErrorOption()

void TProfile::SetErrorOption ( Option_t *  option = "" )

virtual

Set option to compute profile errors.

The computation of the bin errors is based on the parameter option:

-' ' (Default) The bin errors are the standard error on the mean of the bin profiled values (Y), i.e. the standard error of the bin contents. Note that if TProfile::Approximate() is called, an approximation is used when the spread in Y is 0 and the number of bin entries is > 0 -'s' The bin errors are the standard deviations of the Y bin values Note that if TProfile::Approximate() is called, an approximation is used when the spread in Y is 0 and the number of bin entries is > 0 -'i' Errors are as in default case (standard errors of the bin contents) The only difference is for the case when the spread in Y is zero. In this case for N > 0 the error is 1./SQRT(12.*N) -'g' Errors are 1./SQRT(W) for W not equal to 0 and 0 for W = 0. W is the sum in the bin of the weights of the profile. This option is for combining measurements y +/- dy, and the profile is filled with values y and weights w = 1/dy**2

See TProfile::BuildOptions for a detailed explanation of all options

Definition at line 1774 of file TProfile.cxx.

Streamer()

void TProfile::Streamer ( TBuffer &  R__b )

overridevirtual

Stream an object of class TProfile.

Reimplemented from TH1D.

Definition at line 1782 of file TProfile.cxx.

StreamerNVirtual()

void TProfile::StreamerNVirtual ( TBuffer &  ClassDef_StreamerNVirtual_b )

inline

Definition at line 138 of file TProfile.h.

Sumw2()

void TProfile::Sumw2 ( Bool_t  flag = kTRUE )

overridevirtual

Create/delete structure to store sum of squares of weights per bin.

This is needed to compute the correct statistical quantities of a profile filled with weights

This function is automatically called when the histogram is created if the static function TH1::SetDefaultSumw2 has been called before. If flag is false the structure is deleted

Reimplemented from TH1.

Definition at line 1822 of file TProfile.cxx.

Friends And Related Symbol Documentation

TH1Merger

friend class TH1Merger

friend

Definition at line 36 of file TProfile.h.

TProfileHelper

friend class TProfileHelper

friend

Definition at line 35 of file TProfile.h.

Member Data Documentation

fBinEntries

TArrayD TProfile::fBinEntries

protected

number of entries per bin

Definition at line 39 of file TProfile.h.

fBinSumw2

TArrayD TProfile::fBinSumw2

protected

Array of sum of squares of weights per bin.

Definition at line 46 of file TProfile.h.

fErrorMode

EErrorType TProfile::fErrorMode

protected

Option to compute errors.

Definition at line 40 of file TProfile.h.

fgApproximate

Bool_t TProfile::fgApproximate = kFALSE

staticprotected

bin error approximation option

Definition at line 48 of file TProfile.h.

fScaling

Bool_t TProfile::fScaling

protected

! True when TProfile::Scale is called

Definition at line 43 of file TProfile.h.

fTsumwy

Double_t TProfile::fTsumwy

protected

Total Sum of weight*Y.

Definition at line 44 of file TProfile.h.

fTsumwy2

Double_t TProfile::fTsumwy2

protected

Total Sum of weight*Y*Y.

Definition at line 45 of file TProfile.h.

fYmax

Double_t TProfile::fYmax

protected

Upper limit in Y (if set)

Definition at line 42 of file TProfile.h.

fYmin

Double_t TProfile::fYmin

protected

Lower limit in Y (if set)

Definition at line 41 of file TProfile.h.

Libraries for TProfile:

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

• hist/hist/inc/TProfile.h
• hist/hist/src/TProfile.cxx