TProfile2D Class Reference

Profile2D histograms are used to display the mean value of Z and its error for each cell in X,Y.

Profile2D histograms are in many cases an elegant replacement of three-dimensional histograms : the inter-relation of three measured quantities X, Y and Z can always be visualized by a three-dimensional histogram or scatter-plot; its representation on the line-printer is not particularly satisfactory, except for sparse data. If Z is an unknown (but single-valued) approximate function of X,Y this function is displayed by a profile2D 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 cell i, j.

\[ \begin{align} H(i,j) &= \sum w \cdot Z \\ E(i,j) &= \sum w \cdot Z^2 \\ W(i,j) &= \sum w \\ h(i,j) &= \frac{H(i,j)}{W(i,j)} \\ s(i,j) &= \sqrt{E(i,j)/W(i,j)- h(i,j)^2} \\ e(i,j) &= \frac{s(i,j)}{\sqrt{W(i,j)}} \end{align} \]

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

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

In the special case where s(I,J) is zero (eg, case of 1 entry only in one cell) the bin error e(I,J) is computed from the average of the s(I,J) for all cells if the static function TProfile2D::Approximate has been called. This simple/crude approximation was suggested in order to keep the cell during a fit operation. But note that this approximation is not the default behaviour.

Creating and drawing a 2D profile

{
   auto c1 = new TCanvas("c1","Profile histogram example",200,10,700,500);
   auto hprof2d  = new TProfile2D("hprof2d","Profile of pz versus px and py",40,-4,4,40,-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;
      hprof2d->Fill(px,py,pz,1);
   }
   hprof2d->Draw();
}

Definition at line 27 of file TProfile2D.h.

Public Member Functions
	TProfile2D ()
	Default constructor for Profile2D histograms.
	TProfile2D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, const Double_t *ybins, Option_t *option="")
	Create a 2-D Profile with variable bins in X and variable bins in Y.
	TProfile2D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, Double_t ylow, Double_t yup, Option_t *option="")
	Create a 2-D Profile with variable bins in X and fix bins in Y.
	TProfile2D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, const Double_t *ybins, Option_t *option="")
	Create a 2-D Profile with fix bins in X and variable bins in Y.
	TProfile2D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup, Double_t zlow, Double_t zup, Option_t *option="")
	Constructor for Profile2D histograms with range in z.
	TProfile2D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup, Option_t *option="")
	Normal Constructor for Profile histograms.
	TProfile2D (const TProfile2D &profile)
	Copy constructor.
virtual	~TProfile2D ()
	Default destructor for Profile2D histograms.
virtual Bool_t	Add (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1)
	Replace contents of this profile2D by the addition of h1 and h2.
virtual Bool_t	Add (const TH1 *h1, Double_t c1=1)
	Performs the operation: this = this + c1*h1 .
virtual Bool_t	Add (TF1 *h1, Double_t c1=1, Option_t *option="")
	Performs the operation: this = this + c1*f1 .
virtual Int_t	BufferEmpty (Int_t action=0)
	Fill histogram with all entries in the buffer.
void	BuildOptions (Double_t zmin, Double_t zmax, Option_t *option)
	Set Profile2D histogram structure and options.
virtual void	Copy (TObject &hnew) const
	Copy a Profile2D histogram to a new profile2D histogram.
virtual Bool_t	Divide (const TH1 *h1)
	Divide this profile2D by h1.
virtual Bool_t	Divide (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="")
	Replace contents of this profile2D by the division of h1 by h2.
virtual Bool_t	Divide (TF1 *h1, Double_t c1=1)
	Performs the operation: this = this/(c1*f1) .
virtual void	ExtendAxis (Double_t x, TAxis *axis)
	Profile histogram is resized along axis such that x is in the axis range.
virtual Int_t	Fill (const char *namex, const char *namey, Double_t z, Double_t w=1.)
	Fill a Profile2D histogram (no weights).
virtual Int_t	Fill (const char *namex, Double_t y, Double_t z, Double_t w=1.)
	Fill a Profile2D histogram (no weights).
virtual Int_t	Fill (Double_t x, const char *namey, Double_t z, Double_t w=1.)
	Fill a Profile2D histogram (no weights).
Int_t	Fill (Double_t x, Double_t y, Double_t z)
	Fill a Profile2D histogram (no weights).
virtual Int_t	Fill (Double_t x, Double_t y, Double_t z, Double_t w)
	Fill a Profile2D histogram with weights.
virtual Double_t	GetBinContent (Int_t bin) const
	Return bin content of a Profile2D histogram.
virtual Double_t	GetBinContent (Int_t binx, Int_t biny) const
virtual Double_t	GetBinContent (Int_t binx, Int_t biny, Int_t) const
virtual Double_t	GetBinEffectiveEntries (Int_t bin)
	Return bin effective entries for a weighted filled Profile histogram.
virtual Double_t	GetBinEntries (Int_t bin) const
	Return bin entries of a Profile2D histogram.
virtual Double_t	GetBinError (Int_t bin) const
	Return bin error of a Profile2D histogram.
virtual Double_t	GetBinError (Int_t binx, Int_t biny) const
virtual Double_t	GetBinError (Int_t binx, Int_t biny, Int_t) const
virtual TArrayD *	GetBinSumw2 ()
virtual const TArrayD *	GetBinSumw2 () const
Option_t *	GetErrorOption () const
	Return option to compute profile2D errors.
Double_t	GetNumberOfBins ()
virtual void	GetStats (Double_t *stats) const
	Fill the array stats from the contents of this profile.
virtual Double_t	GetZmax () const
virtual Double_t	GetZmin () const
virtual void	LabelsDeflate (Option_t *axis="X")
	Reduce the number of bins for this axis to the number of bins having a label.
virtual void	LabelsInflate (Option_t *axis="X")
	Double the number of bins for axis.
virtual void	LabelsOption (Option_t *option="h", Option_t *axis="X")
	Set option(s) to draw axis with labels.
virtual Long64_t	Merge (TCollection *list)
	Merge all histograms in the collection in this histogram.
virtual Bool_t	Multiply (const TH1 *h1)
	Multiply this profile2D by h1.
virtual Bool_t	Multiply (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="")
	Replace contents of this profile2D by multiplication of h1 by h2.
virtual Bool_t	Multiply (TF1 *h1, Double_t c1=1)
	Performs the operation: this = this*c1*f1.
TProfile2D &	operator= (const TProfile2D &profile)
TProfile *	ProfileX (const char *name="_pfx", Int_t firstybin=0, Int_t lastybin=-1, Option_t *option="") const
	Project a 2-D histogram into a profile histogram along X.
TProfile *	ProfileY (const char *name="_pfy", Int_t firstxbin=0, Int_t lastxbin=-1, Option_t *option="") const
	Project a 2-D histogram into a profile histogram along X.
TH2D *	ProjectionXY (const char *name="_pxy", Option_t *option="e") const
	Project this profile2D into a 2-D histogram along X,Y.
virtual void	PutStats (Double_t *stats)
	Replace current statistics with the values in array stats.
virtual TProfile2D *	Rebin2D (Int_t nxgroup=2, Int_t nygroup=2, const char *newname="")
	Rebin this histogram grouping nxgroup/nygroup bins along the xaxis/yaxis together.
virtual TProfile2D *	RebinX (Int_t ngroup=2, const char *newname="")
	Rebin only the X axis.
virtual TProfile2D *	RebinY (Int_t ngroup=2, const char *newname="")
	Rebin only the Y axis.
virtual void	Reset (Option_t *option="")
	Reset contents of a Profile2D histogram.
virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save primitive as a C++ statement(s) on output stream out.
virtual void	Scale (Double_t c1=1, Option_t *option="")
	Multiply this profile2D by a constant c1.
virtual void	SetBinEntries (Int_t bin, Double_t w)
	Set the number of entries in bin.
virtual void	SetBins (Int_t nbinsx, Double_t xmin, Double_t xmax, Int_t nbinsy, Double_t ymin, Double_t ymax)
	Redefine x and y axis parameters.
virtual void	SetBins (Int_t nx, const Double_t *xBins, Int_t ny, const Double_t *yBins)
	Redefine x and y axis parameters for variable bin sizes.
virtual void	SetBinsLength (Int_t n=-1)
	Set total number of bins including under/overflow.
virtual void	SetBuffer (Int_t buffersize, Option_t *option="")
	Set the buffer size in units of 8 bytes (double).
virtual void	SetErrorOption (Option_t *option="")
	Set option to compute profile2D errors.
virtual void	Sumw2 (Bool_t flag=kTRUE)
	Create/Delete structure to store sum of squares of weights per bin.
Public Member Functions inherited from TH2D
	TH2D ()
	Constructor.
	TH2D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, const Double_t *ybins)
	Constructor.
	TH2D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, Double_t ylow, Double_t yup)
	Constructor.
	TH2D (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins, Int_t nbinsy, const Float_t *ybins)
	Constructor.
	TH2D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, const Double_t *ybins)
	Constructor.
	TH2D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup)
	Constructor.
	TH2D (const TH2D &h2d)
	Copy constructor.
	TH2D (const TMatrixDBase &m)
	Constructor.
virtual	~TH2D ()
	Destructor.
virtual void	AddBinContent (Int_t bin)
	Increment bin content by 1.
virtual void	AddBinContent (Int_t bin, Double_t w)
	Increment bin content by a weight w.
TH2D &	operator= (const TH2D &h1)
	Operator =.
Public Member Functions inherited from TH2
virtual	~TH2 ()
	Destructor.
virtual void	FillN (Int_t ntimes, const Double_t *x, const Double_t *y, const Double_t *w, Int_t stride=1)
	Fill a 2-D histogram with an array of values and weights.
virtual void	FillN (Int_t, const Double_t *, const Double_t *, Int_t)
	Fill this histogram with an array x and weights w.
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 void	FitSlicesX (TF1 *f1=0, Int_t firstybin=0, Int_t lastybin=-1, Int_t cut=0, Option_t *option="QNR", TObjArray *arr=0)
	Project slices along X in case of a 2-D histogram, then fit each slice with function f1 and make a histogram for each fit parameter Only bins along Y between firstybin and lastybin are considered.
virtual void	FitSlicesY (TF1 *f1=0, Int_t firstxbin=0, Int_t lastxbin=-1, Int_t cut=0, Option_t *option="QNR", TObjArray *arr=0)
	Project slices along Y in case of a 2-D histogram, then fit each slice with function f1 and make a histogram for each fit parameter Only bins along X between firstxbin and lastxbin are considered.
virtual Int_t	GetBin (Int_t binx, Int_t biny, Int_t binz=0) const
	Return Global bin number corresponding to binx,y,z.
virtual Double_t	GetBinErrorLow (Int_t bin) const
	Return lower error associated to bin number bin.
virtual Double_t	GetBinErrorLow (Int_t binx, Int_t biny)
virtual Double_t	GetBinErrorUp (Int_t bin) const
	Return upper error associated to bin number bin.
virtual Double_t	GetBinErrorUp (Int_t binx, Int_t biny)
virtual Double_t	GetBinWithContent2 (Double_t c, Int_t &binx, Int_t &biny, Int_t firstxbin=1, Int_t lastxbin=-1, Int_t firstybin=1, Int_t lastybin=-1, Double_t maxdiff=0) const
	compute first cell (binx,biny) in the range [firstxbin,lastxbin][firstybin,lastybin] for which diff = abs(cell_content-c) <= maxdiff In case several cells in the specified range with diff=0 are found the first cell found is returned in binx,biny.
virtual Double_t	GetCorrelationFactor (Int_t axis1=1, Int_t axis2=2) const
	Return correlation factor between axis1 and axis2.
virtual Double_t	GetCovariance (Int_t axis1=1, Int_t axis2=2) const
	Return covariance between axis1 and axis2.
virtual void	GetRandom2 (Double_t &x, Double_t &y, TRandom *rng=nullptr)
	Return 2 random numbers along axis x and y distributed according to the cell-contents of this 2-dim histogram return a NaN if the histogram has a bin with negative content.
virtual Double_t	Integral (Int_t binx1, Int_t binx2, Int_t biny1, Int_t biny2, Option_t *option="") const
	Return integral of bin contents in range [firstxbin,lastxbin],[firstybin,lastybin] for a 2-D histogram By default the integral is computed as the sum of bin contents in the range.
virtual Double_t	Integral (Int_t, Int_t, Int_t, Int_t, Int_t, Int_t, Option_t *="") const
virtual Double_t	Integral (Option_t *option="") const
	Return integral of bin contents.
virtual Double_t	IntegralAndError (Int_t binx1, Int_t binx2, Int_t biny1, Int_t biny2, Double_t &err, Option_t *option="") const
	Return integral of bin contents in range [firstxbin,lastxbin],[firstybin,lastybin] for a 2-D histogram.
virtual Double_t	Interpolate (Double_t x, Double_t y) const
	Given a point P(x,y), Interpolate approximates the value via bilinear interpolation based on the four nearest bin centers see Wikipedia, Bilinear Interpolation Andy Mastbaum 10/8/2008 vaguely based on R.Raja 6-Sep-2008.
virtual Double_t	Interpolate (Double_t x, Double_t y, Double_t z) const
	illegal for a TH2
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.
TProfile *	ProfileX (const char *name="_pfx", Int_t firstybin=1, Int_t lastybin=-1, Option_t *option="") const
	Project a 2-D histogram into a profile histogram along X.
TProfile *	ProfileY (const char *name="_pfy", Int_t firstxbin=1, Int_t lastxbin=-1, Option_t *option="") const
	Project a 2-D histogram into a profile histogram along Y.
TH1D *	ProjectionX (const char *name="_px", Int_t firstybin=0, Int_t lastybin=-1, Option_t *option="") const
	Project a 2-D histogram into a 1-D histogram along X.
TH1D *	ProjectionY (const char *name="_py", Int_t firstxbin=0, Int_t lastxbin=-1, Option_t *option="") const
	Project a 2-D histogram into a 1-D histogram along Y.
TH1D *	QuantilesX (Double_t prob=0.5, const char *name="_qx") const
	Compute the X distribution of quantiles in the other variable Y name is the name of the returned histogram prob is the probability content for the quantile (0.5 is the default for the median) An approximate error for the quantile is computed assuming that the distribution in the other variable is normal.
TH1D *	QuantilesY (Double_t prob=0.5, const char *name="_qy") const
	Compute the Y distribution of quantiles in the other variable X name is the name of the returned histogram prob is the probability content for the quantile (0.5 is the default for the median) An approximate error for the quantile is computed assuming that the distribution in the other variable is normal.
virtual TH2 *	Rebin (Int_t ngroup=2, const char *newname="", const Double_t *xbins=0)
	Override TH1::Rebin as TH2::RebinX Rebinning in variable binning as for TH1 is not allowed If a non-null pointer is given an error is flagged see RebinX and Rebin2D.
virtual void	SetBinContent (Int_t bin, Double_t content)
	Set bin content.
virtual void	SetBinContent (Int_t binx, Int_t biny, Double_t content)
virtual void	SetBinContent (Int_t binx, Int_t biny, Int_t, Double_t content)
virtual void	SetShowProjectionX (Int_t nbins=1)
	When the mouse is moved in a pad containing a 2-d view of this histogram a second canvas shows the projection along X corresponding to the mouse position along Y.
virtual void	SetShowProjectionY (Int_t nbins=1)
	When the mouse is moved in a pad containing a 2-d view of this histogram a second canvas shows the projection along Y corresponding to the mouse position along X.
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 TSpectrum2::Search the function finds peaks in this histogram where the width is > sigma and the peak maximum greater than threshold*maximum bin content of this.
virtual void	Smooth (Int_t ntimes=1, Option_t *option="")
	Smooth bin contents of this 2-d histogram using kernel algorithms similar to the ones used in the raster graphics community.
Public Member Functions inherited from TH1
virtual	~TH1 ()
	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.
virtual void	Browse (TBrowser *b)
	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=0) 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=0) 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=0) const
	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.
virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Compute distance from point px,py to a line.
virtual void	Draw (Option_t *option="")
	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.
virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	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 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.
virtual TObject *	FindObject (const char *name) const
	Search object named name in the list of functions.
virtual TObject *	FindObject (const TObject *obj) const
	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 function 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 an 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 Double_t	GetBinCenter (Int_t bin) const
	Return bin center for 1D histogram.
virtual EBinErrorOpt	GetBinErrorOption () const
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=0)
	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 an 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
virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Redefines TObject::GetObjectInfo.
Option_t *	GetOption () const
TVirtualHistPainter *	GetPainter (Option_t *option="")
	Return pointer to painter.
virtual Int_t	GetQuantiles (Int_t nprobSum, Double_t *q, const Double_t *probSum=0)
	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
Double_t	GetRMSError (Int_t axis=1) const
virtual Double_t	GetSkewness (Int_t axis=1) const
EStatOverflows	GetStatOverflows () const
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 ()
	Get the behaviour adopted by the object about the statoverflows. See EStatOverflows for more information.
const TAxis *	GetXaxis () const
TAxis *	GetYaxis ()
const TAxis *	GetYaxis () const
TAxis *	GetZaxis ()
const TAxis *	GetZaxis () const
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
Long64_t	Merge (TCollection *list, Option_t *option)
	Add all histograms in the collection to this histogram.
virtual void	Paint (Option_t *option="")
	Control routine to paint any kind of histograms.
virtual void	Print (Option_t *option="") const
	Print some global quantities for this histogram.
virtual void	RebinAxis (Double_t x, TAxis *axis)
virtual void	Rebuild (Option_t *option="")
	Using the current bin info, recompute the arrays for contents and errors.
virtual void	RecursiveRemove (TObject *obj)
	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	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=0)
	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 an 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)
virtual void	SetName (const char *name)
	Change the name of this histogram.
virtual void	SetNameTitle (const char *name, const char *title)
	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)
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.
virtual void	SetTitle (const char *title)
	See GetStatOverflows for more information.
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)
void	UseCurrentStyle ()
	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.
virtual void	Clear (Option_t *option="")
	Set name and title to empty strings ("").
virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects.
virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer.
virtual const char *	GetName () const
	Returns name of object.
virtual const char *	GetTitle () const
	Returns title of object.
virtual ULong_t	Hash () const
	Return hash value for this object.
virtual Bool_t	IsSortable () const
virtual void	ls (Option_t *option="") const
	List TNamed name and title.
TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator.
virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject.
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 for instance with: gROOT->SetSelectedPad(gPad).
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=0)
	Execute method on this object with the given parameter string, e.g.
virtual void	Execute (TMethod *method, TObjArray *params, Int_t *error=0)
	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)
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.
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=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.
virtual Int_t	Write (const char *name=0, 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.
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.
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.
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
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)
	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)
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)

Static Public Member Functions
static void	Approximate (Bool_t approx=kTRUE)
	Static function, set the fgApproximate flag.
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 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 TObject
static Long_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 TAttMarker
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 TArray
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 z, Double_t w)
	Accumulate arguments in buffer.
virtual Int_t	BufferFill (Double_t, Double_t)
	accumulate arguments in buffer.
virtual Int_t	BufferFill (Double_t, Double_t, Double_t)
	accumulate arguments in buffer.
virtual TProfile *	DoProfile (bool onX, const char *name, Int_t firstbin, Int_t lastbin, Option_t *option) const
	Implementation of ProfileX or ProfileY for a TProfile2D.
Int_t	Fill (const char *, Double_t)
	Increment bin with namex with a weight w.
virtual Int_t	Fill (const char *namex, const char *namey, Double_t w)
	Increment cell defined by namex,namey by a weight w.
virtual Int_t	Fill (const char *namex, Double_t y, Double_t w)
	Increment cell defined by namex,y by a weight w.
Int_t	Fill (const Double_t *v)
virtual Int_t	Fill (Double_t x, const char *namey, Double_t w)
	Increment cell defined by x,namey by a weight w.
virtual Int_t	Fill (Double_t x, Double_t y)
	Increment cell defined by x,y by 1.
virtual Int_t	Fill (Double_t x, Double_t y, Double_t w)
	Increment cell defined by x,y by a weight w.
Int_t	Fill (Double_t)
	Invalid Fill method.
Int_t	Fill (Double_t, Double_t)
	Increment cell defined by x,y by 1.
virtual Double_t	GetBinErrorSqUnchecked (Int_t bin) const
virtual Double_t	RetrieveBinContent (Int_t bin) const
	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 TH2D
virtual void	UpdateBinContent (Int_t bin, Double_t content)
	Raw update of bin content on internal data structure see convention for numbering bins in TH1::GetBin.
Protected Member Functions inherited from TH2
	TH2 ()
	Constructor.
	TH2 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, const Double_t *ybins)
	See comments in the TH1 base class constructors.
	TH2 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, Double_t ylow, Double_t yup)
	See comments in the TH1 base class constructors.
	TH2 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins, Int_t nbinsy, const Float_t *ybins)
	See comments in the TH1 base class constructors.
	TH2 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, const Double_t *ybins)
	See comments in the TH1 base class constructors.
	TH2 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup)
	See comments in the TH1 base class constructors.
virtual void	DoFitSlices (bool onX, TF1 *f1, Int_t firstbin, Int_t lastbin, Int_t cut, Option_t *option, TObjArray *arr)
virtual TH1D *	DoProjection (bool onX, const char *name, Int_t firstbin, Int_t lastbin, Option_t *option) const
	Internal (protected) method for performing projection on the X or Y axis called by ProjectionX or ProjectionY.
virtual TH1D *	DoQuantiles (bool onX, const char *name, Double_t prob) const
	Implementation of quantiles for x or y.
virtual Double_t	Interpolate (Double_t x) const
	illegal for a TH2
Protected Member Functions inherited from TH1
	TH1 ()
	Histogram default constructor.
	TH1 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins)
	Normal constructor for variable bin size histograms.
	TH1 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins)
	Normal constructor for variable bin size histograms.
	TH1 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup)
	Normal 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 an histogram is empty (this 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
TArrayD	fBinSumw2
EErrorType	fErrorMode
Bool_t	fScaling
Double_t	fTsumwz
	True when TProfile2D::Scale is called.
Double_t	fTsumwz2
Double_t	fZmax
Double_t	fZmin
Protected Attributes inherited from TH2
Double_t	fScalefactor
Double_t	fTsumwxy
Double_t	fTsumwy
Double_t	fTsumwy2
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
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
Double_t *	GetB ()
Double_t *	GetB2 ()
Double_t *	GetW ()
Double_t *	GetW2 ()
void	SetBins (Int_t, const Double_t *)
	Redefine x axis parameters with variable bin sizes.
void	SetBins (Int_t, const Double_t *, Int_t, const Double_t *, Int_t, const Double_t *)
	Redefine x, y and z axis parameters with variable bin sizes.
void	SetBins (Int_t, Double_t, Double_t)
	Redefine x axis parameters.
void	SetBins (Int_t, Double_t, Double_t, Int_t, Double_t, Double_t, Int_t, Double_t, Double_t)
	Redefine x, y and z axis parameters.

Friends
class	TH1Merger
class	TProfileHelper

Additional Inherited Members
Public Types inherited from TH1
enum	{   kNoAxis = 0 , kXaxis = BIT(0) , kYaxis = BIT(1) , kZaxis = BIT(2) ,   kAllAxes = kXaxis | kYaxis | kZaxis }
enum	{ kNstat = 13 }
enum	EBinErrorOpt { kNormal = 0 , kPoisson = 1 , kPoisson2 = 2 }
enum	EStatOverflows { kIgnore = 0 , kConsider = 1 , kNeutral = 2 }
	Enumeration specifying the way to treat statoverflow. More...
enum	EStatusBits {   kNoStats = BIT(9) , kUserContour = BIT(10) , kLogX = BIT(15) , kIsZoomed = BIT(16) ,   kNoTitle = BIT(17) , kIsAverage = BIT(18) , kIsNotW = BIT(19) , kAutoBinPTwo = BIT(20) ,   kIsHighlight = BIT(21) }
Public Types inherited from TObject
enum	{   kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 ,   kBitMask = 0x00ffffff }
enum	{ kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) }
enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }
enum	EStatusBits {   kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) ,   kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) }
Public Attributes inherited from TArrayD
Double_t *	fArray
Public Attributes inherited from TArray
Int_t	fN
Protected Types inherited from TObject
enum	{ kOnlyPrepStep = BIT(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 <TProfile2D.h>

Inheritance diagram for TProfile2D:

Constructor & Destructor Documentation

TProfile2D() [1/7]

TProfile2D::TProfile2D

(

)

Default constructor for Profile2D histograms.

Definition at line 88 of file TProfile2D.cxx.

TProfile2D() [2/7]

TProfile2D::TProfile2D	(	const char *	name,
		const char *	title,
		Int_t	nx,
		Double_t	xlow,
		Double_t	xup,
		Int_t	ny,
		Double_t	ylow,
		Double_t	yup,
		Double_t	zlow,
		Double_t	zup,
		Option_t *	option = ""
	)

Constructor for Profile2D histograms with range in z.

The first eight parameters are similar to TH2D::TH2D. Only the values of Z between ZMIN and ZMAX will be considered at filling time. zmin and zmax will also be the maximum and minimum values on the z scale when drawing the profile2D.

See TProfile2D::BuildOptions for more explanations on errors

Definition at line 169 of file TProfile2D.cxx.

TProfile2D() [3/7]

TProfile2D::TProfile2D	(	const char *	name,
		const char *	title,
		Int_t	nx,
		Double_t	xlow,
		Double_t	xup,
		Int_t	ny,
		Double_t	ylow,
		Double_t	yup,
		Option_t *	option = ""
	)

Normal Constructor for Profile histograms.

The first eight parameters are similar to TH2D::TH2D. All values of z are accepted at filling time. To fill a profile2D histogram, one must use TProfile2D::Fill function.

Note that when filling the profile histogram the function Fill checks if the variable z is between fZmin and fZmax. If a minimum or maximum value is set for the Z scale before filling, then all values below zmin or above zmax will be discarded. Setting the minimum or maximum value for the Z scale before filling has the same effect as calling the special TProfile2D constructor below where zmin and zmax are specified.

H(I,J) is printed as the cell contents. The errors computed are s(I,J) if CHOPT='S' (spread option), or e(I,J) if CHOPT=' ' (error on mean).

See TProfile2D::BuildOptions for explanation of parameters

see other constructors below with all possible combinations of fix and variable bin size like in TH2D.

Definition at line 125 of file TProfile2D.cxx.

TProfile2D() [4/7]

TProfile2D::TProfile2D	(	const char *	name,
		const char *	title,
		Int_t	nbinsx,
		const Double_t *	xbins,
		Int_t	nbinsy,
		Double_t	ylow,
		Double_t	yup,
		Option_t *	option = ""
	)

Create a 2-D Profile with variable bins in X and fix bins in Y.

Definition at line 135 of file TProfile2D.cxx.

TProfile2D() [5/7]

TProfile2D::TProfile2D	(	const char *	name,
		const char *	title,
		Int_t	nbinsx,
		Double_t	xlow,
		Double_t	xup,
		Int_t	nbinsy,
		const Double_t *	ybins,
		Option_t *	option = ""
	)

Create a 2-D Profile with fix bins in X and variable bins in Y.

Definition at line 144 of file TProfile2D.cxx.

TProfile2D() [6/7]

TProfile2D::TProfile2D	(	const char *	name,
		const char *	title,
		Int_t	nbinsx,
		const Double_t *	xbins,
		Int_t	nbinsy,
		const Double_t *	ybins,
		Option_t *	option = ""
	)

Create a 2-D Profile with variable bins in X and variable bins in Y.

Definition at line 153 of file TProfile2D.cxx.

TProfile2D() [7/7]

TProfile2D::TProfile2D

(

const TProfile2D &

profile

)

Copy constructor.

Definition at line 206 of file TProfile2D.cxx.

~TProfile2D()

TProfile2D::~TProfile2D ( )

virtual

Default destructor for Profile2D histograms.

Definition at line 98 of file TProfile2D.cxx.

Member Function Documentation

Add() [1/3]

Bool_t TProfile2D::Add ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1  )

virtual

Replace contents of this profile2D by the addition of h1 and h2.

this = c1*h1 + c2*h2

Reimplemented from TH1.

Definition at line 248 of file TProfile2D.cxx.

Add() [2/3]

Bool_t TProfile2D::Add ( const TH1 *  h1, Double_t  c1 = 1  )

virtual

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

Reimplemented from TH1.

Definition at line 229 of file TProfile2D.cxx.

Add() [3/3]

Bool_t TProfile2D::Add ( TF1 *  h1, Double_t  c1 = 1, Option_t *  option = ""  )

virtual

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

Reimplemented from TH1.

Definition at line 220 of file TProfile2D.cxx.

Approximate()

void TProfile2D::Approximate ( Bool_t  approx = kTRUE )

static

Static function, 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 profile2D is less than 10404 (eg 100x100)
• the bin number of entries is small ( <5)
• the estimated bin error is extremely small compared to the bin content (see TProfile2D::GetBinError)

Definition at line 276 of file TProfile2D.cxx.

BufferEmpty()

Int_t TProfile2D::BufferEmpty ( Int_t  action = 0 )

virtual

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 TH2.

Definition at line 290 of file TProfile2D.cxx.

BufferFill() [1/3]

Int_t TProfile2D::BufferFill ( Double_t  x, Double_t  y, Double_t  z, 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
• fBuffer[4] = z of first entry

Definition at line 357 of file TProfile2D.cxx.

BufferFill() [2/3]

virtual Int_t TProfile2D::BufferFill ( Double_t  x, Double_t  w  )

inlineprotectedvirtual

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 TH2.

Definition at line 44 of file TProfile2D.h.

BufferFill() [3/3]

virtual Int_t TProfile2D::BufferFill ( Double_t  x, Double_t  y, Double_t  w  )

inlineprotectedvirtual

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

Reimplemented from TH2.

Definition at line 45 of file TProfile2D.h.

BuildOptions()

void TProfile2D::BuildOptions	(	Double_t	zmin,
		Double_t	zmax,
		Option_t *	option
	)

Set Profile2D histogram structure and options.

• zmin: minimum value allowed for z
• zmax: maximum value allowed for z if (zmin = zmax = 0) there are no limits on the allowed z values (zmin = -inf, zmax = +inf)

• option: this is the option for the computation of the t error of the profile ( TProfile2D::GetBinError ) possible values for the options are documented in TProfile2D::SetErrorOption

  See TProfile::BuildOptions for a detailed description

Definition at line 189 of file TProfile2D.cxx.

Copy()

void TProfile2D::Copy ( TObject &  hnew ) const

virtual

Copy a Profile2D histogram to a new profile2D histogram.

Reimplemented from TH2D.

Definition at line 385 of file TProfile2D.cxx.

Divide() [1/3]

Bool_t TProfile2D::Divide ( const TH1 *  h1 )

virtual

Divide this profile2D by h1.

this = this/h1

This function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 427 of file TProfile2D.cxx.

Divide() [2/3]

Bool_t TProfile2D::Divide ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1, Option_t *  option = ""  )

virtual

Replace contents of this profile2D by the division of h1 by h2.

this = c1*h1/(c2*h2)

This function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 510 of file TProfile2D.cxx.

Divide() [3/3]

Bool_t TProfile2D::Divide ( TF1 *  h1, Double_t  c1 = 1  )

virtual

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

This function is not implemented

Reimplemented from TH1.

Definition at line 414 of file TProfile2D.cxx.

DoProfile()

TProfile * TProfile2D::DoProfile ( bool  onX, const char *  name, Int_t  firstbin, Int_t  lastbin, Option_t *  option  ) const

protectedvirtual

Implementation of ProfileX or ProfileY for a TProfile2D.

Do correctly the combination of the bin averages when doing the projection

Reimplemented from TH2.

Definition at line 1396 of file TProfile2D.cxx.

ExtendAxis()

void TProfile2D::ExtendAxis ( Double_t  x, TAxis *  axis  )

virtual

Profile histogram is resized along 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 1511 of file TProfile2D.cxx.

Fill() [1/14]

Int_t TH2::Fill ( const char *  namex, Double_t  w  )

inlineprotectedvirtual

Increment bin with namex with a weight w.

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 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.

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

Reimplemented from TH2.

Definition at line 58 of file TH2.h.

Fill() [2/14]

Int_t TH2::Fill ( const char *  namex, const char *  namey, Double_t  w  )

protectedvirtual

Increment cell defined by namex,namey by a weight w.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell is incremented.
  • 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 namex,namey

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

Reimplemented from TH2.

Definition at line 79 of file TH2.cxx.

Fill() [3/14]

Int_t TProfile2D::Fill ( const char *  namex, const char *  namey, Double_t  z, Double_t  w = 1.  )

virtual

Fill a Profile2D histogram (no weights).

Definition at line 735 of file TProfile2D.cxx.

Fill() [4/14]

Int_t TH2::Fill ( const char *  namex, Double_t  y, Double_t  w  )

protectedvirtual

Increment cell defined by namex,y by a weight w.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell is incremented.
• 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 namex,y

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

Reimplemented from TH2.

Definition at line 78 of file TH2.cxx.

Fill() [5/14]

Int_t TProfile2D::Fill ( const char *  namex, Double_t  y, Double_t  z, Double_t  w = 1.  )

virtual

Fill a Profile2D histogram (no weights).

Definition at line 780 of file TProfile2D.cxx.

Fill() [6/14]

Int_t TProfile2D::Fill ( const Double_t *  v )

inlineprotected

Definition at line 51 of file TProfile2D.h.

Fill() [7/14]

Int_t TH2::Fill ( Double_t  x, const char *  namey, Double_t  w  )

protectedvirtual

Increment cell defined by x,namey by a weight w.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell is incremented.
• 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,y.

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

Reimplemented from TH2.

Definition at line 77 of file TH2.cxx.

Fill() [8/14]

Int_t TProfile2D::Fill ( Double_t  x, const char *  namey, Double_t  z, Double_t  w = 1.  )

virtual

Fill a Profile2D histogram (no weights).

Definition at line 690 of file TProfile2D.cxx.

Fill() [9/14]

Int_t TH2::Fill ( Double_t  x, Double_t  y  )

protectedvirtual

Increment cell defined by x,y by 1.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell 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 cell corresponding to x,y.

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

Reimplemented from TH2.

Definition at line 75 of file TH2.cxx.

Fill() [10/14]

Int_t TH2::Fill ( Double_t  x, Double_t  y, Double_t  w  )

protectedvirtual

Increment cell defined by x,y by a weight w.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell is incremented.
  • 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,y

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

Reimplemented from TH2.

Definition at line 76 of file TH2.cxx.

Fill() [11/14]

Int_t TProfile2D::Fill ( Double_t  x, Double_t  y, Double_t  z  )

virtual

Fill a Profile2D histogram (no weights).

Reimplemented from TH2.

Definition at line 607 of file TProfile2D.cxx.

Fill() [12/14]

Int_t TProfile2D::Fill ( Double_t  x, Double_t  y, Double_t  z, Double_t  w  )

virtual

Fill a Profile2D histogram with weights.

Definition at line 647 of file TProfile2D.cxx.

Fill() [13/14]

Int_t TH2::Fill ( Double_t  )

protectedvirtual

Invalid Fill method.

Reimplemented from TH2.

Definition at line 57 of file TH2.cxx.

Fill() [14/14]

Int_t TProfile2D::Fill ( Double_t  x, Double_t  y  )

inlineprotectedvirtual

Increment cell defined by x,y by 1.

• if x or/and y is less than the low-edge of the corresponding axis first bin, the Underflow cell is incremented.
• if x or/and y is equal to or greater than the upper edge of corresponding axis last bin, the Overflow cell 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 cell corresponding to x,y.

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

Reimplemented from TH2.

Definition at line 56 of file TProfile2D.h.

GetB()

Double_t * TProfile2D::GetB ( )

inlineprivate

Definition at line 63 of file TProfile2D.h.

GetB2()

Double_t * TProfile2D::GetB2 ( )

inlineprivate

Definition at line 64 of file TProfile2D.h.

GetBinContent() [1/3]

Double_t TProfile2D::GetBinContent ( Int_t  bin ) const

virtual

Return bin content of a Profile2D histogram.

Reimplemented from TH2.

Definition at line 828 of file TProfile2D.cxx.

GetBinContent() [2/3]

virtual Double_t TProfile2D::GetBinContent ( Int_t  binx, Int_t  biny  ) const

inlinevirtual

Reimplemented from TH2.

Definition at line 109 of file TProfile2D.h.

GetBinContent() [3/3]

virtual Double_t TProfile2D::GetBinContent ( Int_t  binx, Int_t  biny, Int_t    ) const

inlinevirtual

Reimplemented from TH2.

Definition at line 110 of file TProfile2D.h.

GetBinEffectiveEntries()

Double_t TProfile2D::GetBinEffectiveEntries ( Int_t  bin )

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 857 of file TProfile2D.cxx.

GetBinEntries()

Double_t TProfile2D::GetBinEntries ( Int_t  bin ) const

virtual

Return bin entries of a Profile2D histogram.

Definition at line 841 of file TProfile2D.cxx.

GetBinError() [1/3]

Double_t TProfile2D::GetBinError ( Int_t  bin ) const

virtual

Return bin error of a Profile2D histogram.

Computing errors: A moving field

The computation of errors for a TProfile2D has evolved with the versions of ROOT. The difficulty is in computing errors for bins with low statistics.

• prior to version 3.10, 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.
• The algorithm is modified/protected for the case when a TProfile2D is projected (ProjectionX). The previous algorithm generated a N^2 problem when projecting a TProfile2D with a large number of bins (eg 100000).
• in version 3.10/02, a new static function TProfile::Approximate is introduced to enable or disable (default) the approximation. (see also comments in TProfile::GetBinError)

Reimplemented from TH1.

Definition at line 880 of file TProfile2D.cxx.

GetBinError() [2/3]

virtual Double_t TProfile2D::GetBinError ( Int_t  binx, Int_t  biny  ) const

inlinevirtual

Reimplemented from TH1.

Definition at line 112 of file TProfile2D.h.

GetBinError() [3/3]

virtual Double_t TProfile2D::GetBinError ( Int_t  binx, Int_t  biny, Int_t    ) const

inlinevirtual

Reimplemented from TH1.

Definition at line 113 of file TProfile2D.h.

GetBinErrorSqUnchecked()

virtual Double_t TProfile2D::GetBinErrorSqUnchecked ( Int_t  bin ) const

inlineprotectedvirtual

Reimplemented from TH1.

Definition at line 60 of file TProfile2D.h.

GetBinSumw2() [1/2]

virtual TArrayD * TProfile2D::GetBinSumw2 ( )

inlinevirtual

Definition at line 116 of file TProfile2D.h.

GetBinSumw2() [2/2]

virtual const TArrayD * TProfile2D::GetBinSumw2 ( ) const

inlinevirtual

Definition at line 117 of file TProfile2D.h.

GetErrorOption()

Option_t * TProfile2D::GetErrorOption

(

)

const

Return option to compute profile2D errors.

Definition at line 888 of file TProfile2D.cxx.

GetNumberOfBins()

Double_t TProfile2D::GetNumberOfBins ( )

inline

Definition at line 146 of file TProfile2D.h.

GetStats()

void TProfile2D::GetStats ( Double_t *  stats ) const

virtual

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
• stats[6] = sumwxy
• stats[7] = sumwz
• stats[8] = sumwz2

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 TH2.

Definition at line 915 of file TProfile2D.cxx.

GetW()

Double_t * TProfile2D::GetW ( )

inlineprivate

Definition at line 65 of file TProfile2D.h.

GetW2()

Double_t * TProfile2D::GetW2 ( )

inlineprivate

Definition at line 66 of file TProfile2D.h.

GetZmax()

virtual Double_t TProfile2D::GetZmax ( ) const

inlinevirtual

Definition at line 121 of file TProfile2D.h.

GetZmin()

virtual Double_t TProfile2D::GetZmin ( ) const

inlinevirtual

Definition at line 120 of file TProfile2D.h.

LabelsDeflate()

void TProfile2D::LabelsDeflate ( Option_t *  axis = "X" )

virtual

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

Reimplemented from TH1.

Definition at line 979 of file TProfile2D.cxx.

LabelsInflate()

void TProfile2D::LabelsInflate ( Option_t *  ax = "X" )

virtual

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 989 of file TProfile2D.cxx.

LabelsOption()

void TProfile2D::LabelsOption ( Option_t *  option = "h", Option_t *  ax = "X"  )

virtual

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 1007 of file TProfile2D.cxx.

Merge()

Long64_t TProfile2D::Merge ( TCollection *  li )

virtual

Merge all histograms in the collection in this histogram.

This function computes the min/max for the axes, 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 2 axis x and y 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 1226 of file TProfile2D.cxx.

Multiply() [1/3]

Bool_t TProfile2D::Multiply ( const TH1 *  h1 )

virtual

Multiply this profile2D by h1.

this = this*h1

Reimplemented from TH1.

Definition at line 1245 of file TProfile2D.cxx.

Multiply() [2/3]

Bool_t TProfile2D::Multiply ( const TH1 *  h1, const TH1 *  h2, Double_t  c1 = 1, Double_t  c2 = 1, Option_t *  option = ""  )

virtual

Replace contents of this profile2D by multiplication of h1 by h2.

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

Reimplemented from TH1.

Definition at line 1256 of file TProfile2D.cxx.

Multiply() [3/3]

Bool_t TProfile2D::Multiply ( TF1 *  h1, Double_t  c1 = 1  )

virtual

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

Reimplemented from TH1.

Definition at line 1234 of file TProfile2D.cxx.

operator=()

TProfile2D & TProfile2D::operator=

(

const TProfile2D &

profile

)

Definition at line 211 of file TProfile2D.cxx.

ProfileX()

TProfile * TProfile2D::ProfileX	(	const char *	name = "_pfx",
		Int_t	firstybin = 0,
		Int_t	lastybin = -1,
		Option_t *	option = ""
	)		const

Project a 2-D histogram into a profile histogram along X.

The projection is made from the channels along the Y axis ranging from firstybin to lastybin included. The result is a 1D profile which contains the combination of all the considered bins along Y By default, bins 1 to ny are included When all bins are included, the number of entries in the projection is set to the number of entries of the 2-D histogram, otherwise the number of entries is incremented by 1 for all non empty cells.

The option can also be used to specify the projected profile error type. Values which can be used are 's', 'i', or 'g'. See TProfile::BuildOptions for details

Definition at line 1367 of file TProfile2D.cxx.

ProfileY()

TProfile * TProfile2D::ProfileY	(	const char *	name = "_pfy",
		Int_t	firstxbin = 0,
		Int_t	lastxbin = -1,
		Option_t *	option = ""
	)		const

Project a 2-D histogram into a profile histogram along X.

The projection is made from the channels along the X axis ranging from firstybin to lastybin included. The result is a 1D profile which contains the combination of all the considered bins along X By default, bins 1 to ny are included When all bins are included, the number of entries in the projection is set to the number of entries of the 2-D histogram, otherwise the number of entries is incremented by 1 for all non empty cells.

The option can also be used to specify the projected profile error type. Values which can be used are 's', 'i', or 'g'. See TProfile::BuildOptions for details

Definition at line 1386 of file TProfile2D.cxx.

ProjectionXY()

TH2D * TProfile2D::ProjectionXY	(	const char *	name = "_pxy",
		Option_t *	option = "e"
	)		const

Project this profile2D into a 2-D histogram along X,Y.

The projection is always of the type TH2D.

• 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,
• 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 TH2D using the 3-rd value as a weight. This option makes sense only for profile filled with all weights =1. When the profile is weighted (filled with weights different than 1) the bin error of the projected histogram (obtained using this option "W") cannot be correctly computed from the information stored in the profile. In that case the obtained histogram contains as bin error square the weighted sum of the square of the profiled observable (TProfile2D::fSumw2[bin] )

Definition at line 1286 of file TProfile2D.cxx.

PutStats()

void TProfile2D::PutStats ( Double_t *  stats )

virtual

Replace current statistics with the values in array stats.

Reimplemented from TH2.

Definition at line 1471 of file TProfile2D.cxx.

Rebin2D()

TProfile2D * TProfile2D::Rebin2D ( Int_t  nxgroup = 2, Int_t  nygroup = 2, const char *  newname = ""  )

virtual

Rebin this histogram grouping nxgroup/nygroup bins along the xaxis/yaxis together.

if newname is not blank a new profile hnew is created. else the current histogram is modified (default) The parameter nxgroup/nygroup indicate how many bins along the xaxis/yaxis of this have to be 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 hpxpy is an existing TProfile2D profile with 40 x 40 bins

hpxpy->Rebin2D();  // merges two bins along the xaxis and yaxis in one
                   // Carefull: previous contents of hpxpy are lost
hpxpy->Rebin2D(3,5);  // merges 3 bins along the xaxis and 5 bins along the yaxis in one
                      // Carefull: previous contents of hpxpy are lost
hpxpy->RebinX(5); //merges five bins along the xaxis in one in hpxpy
TProfile2D *hnew = hpxpy->RebinY(5,"hnew"); // creates a new profile hnew
                                            // merging 5 bins of hpxpy along the yaxis in one bin

NOTE : If nxgroup/nygroup is not an exact divider of the number of bins, along the xaxis/yaxis the top limit(s) of the rebinned profile is changed to the upper edge of the xbin=newxbins*nxgroup resp. ybin=newybins*nygroup and the remaining bins are added to the overflow bin. Statistics will be recomputed from the new bin contents.

Reimplemented from TH2.

Definition at line 1549 of file TProfile2D.cxx.

RebinX()

TProfile2D * TProfile2D::RebinX ( Int_t  ngroup = 2, const char *  newname = ""  )

virtual

Rebin only the X axis.

see Rebin2D

Reimplemented from TH2.

Definition at line 1834 of file TProfile2D.cxx.

RebinY()

TProfile2D * TProfile2D::RebinY ( Int_t  ngroup = 2, const char *  newname = ""  )

virtual

Rebin only the Y axis.

see Rebin2D

Reimplemented from TH2.

Definition at line 1842 of file TProfile2D.cxx.

Reset()

void TProfile2D::Reset ( Option_t *  option = "" )

virtual

Reset contents of a Profile2D histogram.

Reimplemented from TH2D.

Definition at line 1487 of file TProfile2D.cxx.

RetrieveBinContent()

virtual Double_t TProfile2D::RetrieveBinContent ( Int_t  bin ) const

inlineprotectedvirtual

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

Reimplemented from TH2D.

Definition at line 58 of file TProfile2D.h.

SavePrimitive()

void TProfile2D::SavePrimitive ( std::ostream &  out, Option_t *  option = ""  )

virtual

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

Note the following restrictions in the code generated:

• variable bin size not implemented
• SetErrorOption not implemented

Reimplemented from TH1.

Definition at line 1853 of file TProfile2D.cxx.

Scale()

void TProfile2D::Scale ( Double_t  c1 = 1, Option_t *  option = ""  )

virtual

Multiply this profile2D by a constant c1.

`this = c1*this

This function uses the services of TProfile2D::Add

Reimplemented from TH1.

Definition at line 1907 of file TProfile2D.cxx.

SetBinEntries()

void TProfile2D::SetBinEntries ( Int_t  bin, Double_t  w  )

virtual

Set the number of entries in bin.

Definition at line 1915 of file TProfile2D.cxx.

SetBins() [1/7]

void TProfile2D::SetBins ( const Int_t *  nbins, const Double_t *  range  )

inlineprotected

Definition at line 49 of file TProfile2D.h.

SetBins() [2/7]

void TProfile2D::SetBins ( Int_t  nbinsx, Double_t  xmin, Double_t  xmax, Int_t  nbinsy, Double_t  ymin, Double_t  ymax  )

virtual

Redefine x and y axis parameters.

Reimplemented from TH1.

Definition at line 1923 of file TProfile2D.cxx.

SetBins() [3/7]

void TProfile2D::SetBins ( Int_t  nx, const Double_t *  xBins, Int_t  ny, const Double_t *  yBins  )

virtual

Redefine x and y axis parameters for variable bin sizes.

Reimplemented from TH1.

Definition at line 1933 of file TProfile2D.cxx.

SetBins() [4/7]

void TProfile2D::SetBins ( Int_t  nx, const Double_t *  xBins  )

inlineprivatevirtual

Redefine x axis parameters with variable bin sizes.

The X 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

Reimplemented from TH1.

Definition at line 69 of file TProfile2D.h.

SetBins() [5/7]

void TProfile2D::SetBins ( Int_t  nx, const Double_t *  xBins, Int_t  ny, const Double_t *  yBins, Int_t  nz, const Double_t *  zBins  )

inlineprivatevirtual

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 73 of file TProfile2D.h.

SetBins() [6/7]

void TProfile2D::SetBins ( Int_t  nx, Double_t  xmin, Double_t  xmax  )

inlineprivatevirtual

Redefine x axis parameters.

The X 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 67 of file TProfile2D.h.

SetBins() [7/7]

void TProfile2D::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  )

inlineprivatevirtual

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 71 of file TProfile2D.h.

SetBinsLength()

void TProfile2D::SetBinsLength ( Int_t  n = -1 )

virtual

Set total number of bins including under/overflow.

Reallocate bin contents array

Reimplemented from TH2D.

Definition at line 1944 of file TProfile2D.cxx.

SetBuffer()

void TProfile2D::SetBuffer ( Int_t  buffersize, Option_t *  option = ""  )

virtual

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

Reimplemented from TH1.

Definition at line 1953 of file TProfile2D.cxx.

SetErrorOption()

void TProfile2D::SetErrorOption ( Option_t *  option = "" )

virtual

Set option to compute profile2D 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 (Z), i.e. the standard error of the bin contents. Note that if TProfile::Approximate() is called, an approximation is used when the spread in Z is 0 and the number of bin entries is > 0
• 's' The bin errors are the standard deviations of the Z bin values Note that if TProfile::Approximate() is called, an approximation is used when the spread in Z 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 Z 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 z +/- dz, and the profile is filled with values y and weights z = 1/dz**2

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

Definition at line 1991 of file TProfile2D.cxx.

Sumw2()

void TProfile2D::Sumw2 ( Bool_t  flag = kTRUE )

virtual

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 2040 of file TProfile2D.cxx.

Friends And Related Symbol Documentation

TH1Merger

friend class TH1Merger

friend

Definition at line 31 of file TProfile2D.h.

TProfileHelper

friend class TProfileHelper

friend

Definition at line 30 of file TProfile2D.h.

Member Data Documentation

fBinEntries

TArrayD TProfile2D::fBinEntries

protected

Definition at line 34 of file TProfile2D.h.

fBinSumw2

TArrayD TProfile2D::fBinSumw2

protected

Definition at line 41 of file TProfile2D.h.

fErrorMode

EErrorType TProfile2D::fErrorMode

protected

Definition at line 35 of file TProfile2D.h.

fgApproximate

Bool_t TProfile2D::fgApproximate = kFALSE

staticprotected

Definition at line 42 of file TProfile2D.h.

fScaling

Bool_t TProfile2D::fScaling

protected

Definition at line 38 of file TProfile2D.h.

fTsumwz

Double_t TProfile2D::fTsumwz

protected

True when TProfile2D::Scale is called.

Definition at line 39 of file TProfile2D.h.

fTsumwz2

Double_t TProfile2D::fTsumwz2

protected

Definition at line 40 of file TProfile2D.h.

fZmax

Double_t TProfile2D::fZmax

protected

Definition at line 37 of file TProfile2D.h.

fZmin

Double_t TProfile2D::fZmin

protected

Definition at line 36 of file TProfile2D.h.

Libraries for TProfile2D:

---

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

• hist/hist/inc/TProfile2D.h
• hist/hist/src/TProfile2D.cxx