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Profile Histogram.

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

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

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

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

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

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

### Creating and drawing a profile histogram

{
auto c1 = new TCanvas("c1","Profile histogram example",200,10,700,500);
auto hprof = new TProfile("hprof","Profile of pz versus px",100,-4,4,0,20);
Float_t px, py, pz;
for ( Int_t i=0; i<25000; i++) {
gRandom->Rannor(px,py);
pz = px*px + py*py;
hprof->Fill(px,pz,1);
}
hprof->Draw();
}
float Float_t
Definition RtypesCore.h:57
R__EXTERN TRandom * gRandom
Definition TRandom.h:62
The Canvas class.
Definition TCanvas.h:23
TProfile()
Default constructor for Profile histograms.
Definition TProfile.cxx:92
virtual void Rannor(Float_t &a, Float_t &b)
Return 2 numbers distributed following a gaussian with mean=0 and sigma=1.
Definition TRandom.cxx:500
return c1
Definition legend1.C:41

Definition at line 32 of file TProfile.h.

## Public Member Functions

TProfile ()
Default constructor for Profile histograms.

TProfile (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Double_t ylow, Double_t yup, Option_t *option="")
Constructor for Profile histograms with variable bin size.

TProfile (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Option_t *option="")
Constructor for Profile histograms with variable bin size.

TProfile (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins, Option_t *option="")
Constructor for Profile histograms with variable bin size.

TProfile (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Double_t ylow, Double_t yup, Option_t *option="")
Constructor for Profile histograms with range in y.

TProfile (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Option_t *option="")
Normal Constructor for Profile histograms.

TProfile (const TProfile &profile)
Copy constructor.

~TProfile () override
Default destructor for Profile histograms.

Bool_t Add (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1) override
Replace contents of this profile by the addition of h1 and h2.

Bool_t Add (const TH1 *h1, Double_t c1=1) override
Performs the operation: this = this + c1*h1.

Bool_t Add (TF1 *h1, Double_t c1=1, Option_t *option="") override
Performs the operation: this = this + c1*f1.

Int_t BufferEmpty (Int_t action=0) override
Fill histogram with all entries in the buffer.

void BuildOptions (Double_t ymin, Double_t ymax, Option_t *option)
Set Profile histogram structure and options.

void Copy (TObject &hnew) const override
Copy a Profile histogram to a new profile histogram.

Bool_t Divide (const TH1 *h1) override
Divide this profile by h1.

Bool_t Divide (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="") override
Replace contents of this profile by the division of h1 by h2.

Bool_t Divide (TF1 *h1, Double_t c1=1) override
Performs the operation: this = this/(c1*f1).

void ExtendAxis (Double_t x, TAxis *axis) override
Profile histogram is resized along x axis such that x is in the axis range.

Int_t Fill (const char *namex, Double_t y) override
Fill a Profile histogram (no weights).

virtual Int_t Fill (const char *namex, Double_t y, Double_t w)
Fill a Profile histogram with weights.

Int_t Fill (Double_t x, Double_t y) override
Fill a Profile histogram (no weights).

virtual Int_t Fill (Double_t x, Double_t y, Double_t w)
Fill a Profile histogram with weights.

void FillN (Int_t ntimes, const Double_t *x, const Double_t *y, const Double_t *w, Int_t stride=1) override
Fill a Profile histogram with weights.

Double_t GetBinContent (Int_t bin) const override
Return bin content of a Profile histogram.

Double_t GetBinContent (Int_t bin, Int_t) const override

Double_t GetBinContent (Int_t bin, Int_t, Int_t) const override

virtual Double_t GetBinEffectiveEntries (Int_t bin) const
Return bin effective entries for a weighted filled Profile histogram.

virtual Double_t GetBinEntries (Int_t bin) const
Return bin entries of a Profile histogram.

Double_t GetBinError (Int_t bin) const override
Return bin error of a Profile histogram.

Double_t GetBinError (Int_t bin, Int_t) const override

Double_t GetBinError (Int_t bin, Int_t, Int_t) const override

virtual TArrayDGetBinSumw2 ()

virtual const TArrayDGetBinSumw2 () const

Option_tGetErrorOption () const
Return option to compute profile errors.

void GetStats (Double_t *stats) const override
fill the array stats from the contents of this profile.

virtual Double_t GetYmax () const

virtual Double_t GetYmin () const

TClassIsA () const override

void LabelsDeflate (Option_t *axis="X") override
Reduce the number of bins for this axis to the number of bins having a label.

void LabelsInflate (Option_t *axis="X") override
Double the number of bins for axis.

void LabelsOption (Option_t *option="h", Option_t *axis="X") override
Set option(s) to draw axis with labels.

Long64_t Merge (TCollection *list) override
Merge all histograms in the collection in this histogram.

Bool_t Multiply (const TH1 *h1) override
Multiply this profile by h1.

Bool_t Multiply (const TH1 *h1, const TH1 *h2, Double_t c1=1, Double_t c2=1, Option_t *option="") override
Replace contents of this profile by multiplication of h1 by h2.

Bool_t Multiply (TF1 *h1, Double_t c1=1) override
Performs the operation: this = this*c1*f1.

TProfileoperator= (const TProfile &profile)

TH1DProjectionX (const char *name="_px", Option_t *option="e") const
Project this profile into a 1-D histogram along X.

void PutStats (Double_t *stats) override
Replace current statistics with the values in array stats.

TH1Rebin (Int_t ngroup=2, const char *newname="", const Double_t *xbins=nullptr) override
Rebin this profile grouping ngroup bins together.

void Reset (Option_t *option="") override
Reset contents of a Profile histogram.

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

void Scale (Double_t c1=1, Option_t *option="") override
Multiply this profile by a constant c1.

virtual void SetBinEntries (Int_t bin, Double_t w)
Set the number of entries in bin.

void SetBins (Int_t nbins, Double_t xmin, Double_t xmax) override
Redefine x axis parameters.

void SetBins (Int_t nx, const Double_t *xbins) override
Redefine x axis parameters.

void SetBinsLength (Int_t n=-1) override
Set total number of bins including under/overflow.

void SetBuffer (Int_t buffersize, Option_t *option="") override
Set the buffer size in units of 8 bytes (double).

virtual void SetErrorOption (Option_t *option="")
Set option to compute profile errors.

void Streamer (TBuffer &) override
Stream an object of class TProfile.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

void Sumw2 (Bool_t flag=kTRUE) override
Create/delete structure to store sum of squares of weights per bin. Public Member Functions inherited from TH1D
TH1D ()
Constructor.

TH1D (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins)
Create a 1-Dim histogram with variable bins of type double (see TH1::TH1 for explanation of parameters)

TH1D (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins)
Create a 1-Dim histogram with variable bins of type double (see TH1::TH1 for explanation of parameters)

TH1D (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup)
Create a 1-Dim histogram with fix bins of type double (see TH1::TH1 for explanation of parameters)

TH1D (const TH1D &h1d)
Constructor.

TH1D (const TVectorD &v)
Create a histogram from a TVectorD by default the histogram name is "TVectorD" and title = "".

~TH1D () override
Destructor.

Increment bin content by 1.

void AddBinContent (Int_t bin, Double_t w) override
Increment bin content by a weight w.

void Copy (TObject &hnew) const override
Copy this to newth1.

TClassIsA () const override

TH1Doperator= (const TH1D &h1)
Operator =.

void Reset (Option_t *option="") override
Reset.

void SetBinsLength (Int_t n=-1) override
Set total number of bins including under/overflow Reallocate bin contents array.

void Streamer (TBuffer &) override
Stream a class object.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TH1
~TH1 () override
Histogram default destructor.

virtual Bool_t Add (const TH1 *h, const TH1 *h2, Double_t c1=1, Double_t c2=1)
Replace contents of this histogram 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 If errors are defined (see TH1::Sumw2), errors are also recalculated.

virtual Bool_t Add (TF1 *h1, Double_t c1=1, Option_t *option="")
Performs the operation: this = this + c1*f1 if errors are defined (see TH1::Sumw2), errors are also recalculated.

Increment bin content by 1.

virtual void AddBinContent (Int_t bin, Double_t w)
Increment bin content by a weight w.

virtual Double_t AndersonDarlingTest (const TH1 *h2, Double_t &advalue) const
Same function as above but returning also the test statistic value.

virtual Double_t AndersonDarlingTest (const TH1 *h2, Option_t *option="") const
Statistical test of compatibility in shape between this histogram and h2, using the Anderson-Darling 2 sample test.

void Browse (TBrowser *b) override
Browse the Histogram object.

virtual Int_t BufferEmpty (Int_t action=0)
Fill histogram with all entries in the buffer.

virtual Bool_t CanExtendAllAxes () const
Returns true if all axes are extendable.

virtual Double_t Chi2Test (const TH1 *h2, Option_t *option="UU", Double_t *res=nullptr) const
$$\chi^{2}$$ test for comparing weighted and unweighted histograms

virtual Double_t Chi2TestX (const TH1 *h2, Double_t &chi2, Int_t &ndf, Int_t &igood, Option_t *option="UU", Double_t *res=nullptr) const
The computation routine of the Chisquare test.

virtual Double_t Chisquare (TF1 *f1, Option_t *option="") const
Compute and return the chisquare of this histogram with respect to a function The chisquare is computed by weighting each histogram point by the bin error By default the full range of the histogram is used.

virtual void ClearUnderflowAndOverflow ()
Remove all the content from the underflow and overflow bins, without changing the number of entries After calling this method, every undeflow and overflow bins will have content 0.0 The Sumw2 is also cleared, since there is no more content in the bins.

TObjectClone (const char *newname="") const override
Make a complete copy of the underlying object.

virtual Double_t ComputeIntegral (Bool_t onlyPositive=false)
Compute integral (cumulative sum of bins) The result stored in fIntegral is used by the GetRandom functions.

void Copy (TObject &hnew) const override
Copy this histogram structure to newth1.

Perform the automatic addition of the histogram to the given directory.

Int_t DistancetoPrimitive (Int_t px, Int_t py) override
Compute distance from point px,py to a line.

virtual Bool_t Divide (const TH1 *h1)
Divide this histogram 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 histogram by the division of h1 by h2.

virtual Bool_t Divide (TF1 *f1, Double_t c1=1)
Performs the operation: this = this/(c1*f1) if errors are defined (see TH1::Sumw2), errors are also recalculated.

void Draw (Option_t *option="") override
Draw this histogram with options.

virtual TH1DrawCopy (Option_t *option="", const char *name_postfix="_copy") const
Copy this histogram and Draw in the current pad.

virtual TH1DrawNormalized (Option_t *option="", Double_t norm=1) const
Draw a normalized copy of this histogram.

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

virtual void Eval (TF1 *f1, Option_t *option="")
Evaluate function f1 at the center of bins of this histogram.

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

virtual void ExtendAxis (Double_t x, TAxis *axis)
Histogram is resized along axis such that x is in the axis range.

virtual TH1FFT (TH1 *h_output, Option_t *option)
This function allows to do discrete Fourier transforms of TH1 and TH2.

virtual Int_t Fill (const char *name, Double_t w)
Increment bin with namex with a weight w.

virtual Int_t Fill (Double_t x)
Increment bin with abscissa X by 1.

virtual Int_t Fill (Double_t x, Double_t w)
Increment bin with abscissa X with a weight w.

virtual void FillN (Int_t ntimes, const Double_t *x, const Double_t *w, Int_t stride=1)
Fill this histogram with an array x and weights w.

virtual void FillN (Int_t, const Double_t *, const Double_t *, const Double_t *, Int_t)

virtual void FillRandom (const char *fname, Int_t ntimes=5000, TRandom *rng=nullptr)
Fill histogram following distribution in function fname.

virtual void FillRandom (TH1 *h, Int_t ntimes=5000, TRandom *rng=nullptr)
Fill histogram following distribution in histogram h.

virtual Int_t FindBin (Double_t x, Double_t y=0, Double_t z=0)
Return Global bin number corresponding to x,y,z.

virtual Int_t FindFirstBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const
Find first bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1.

virtual Int_t FindFixBin (Double_t x, Double_t y=0, Double_t z=0) const
Return Global bin number corresponding to x,y,z.

virtual Int_t FindLastBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const
Find last bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1.

TObjectFindObject (const char *name) const override
Search object named name in the list of functions.

TObjectFindObject (const TObject *obj) const override
Search object obj in the list of functions.

virtual TFitResultPtr Fit (const char *formula, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0)
Fit histogram with function fname.

virtual TFitResultPtr Fit (TF1 *f1, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0)
Fit histogram with the function pointer f1.

virtual void FitPanel ()
Display a panel with all histogram fit options.

TH1GetAsymmetry (TH1 *h2, Double_t c2=1, Double_t dc2=0)
Return a histogram containing the asymmetry of this histogram with h2, where the asymmetry is defined as:

virtual Color_t GetAxisColor (Option_t *axis="X") const
Return the number of divisions for "axis".

virtual Float_t GetBarOffset () const

virtual Float_t GetBarWidth () const

virtual Int_t GetBin (Int_t binx, Int_t biny=0, Int_t binz=0) const
Return Global bin number corresponding to binx,y,z.

virtual Double_t GetBinCenter (Int_t bin) const
Return bin center for 1D histogram.

virtual Double_t GetBinContent (Int_t bin) const
Return content of bin number bin.

virtual Double_t GetBinContent (Int_t bin, Int_t) const

virtual Double_t GetBinContent (Int_t bin, Int_t, Int_t) const

virtual Double_t GetBinError (Int_t bin) const
Return value of error associated to bin number bin.

virtual Double_t GetBinError (Int_t binx, Int_t biny) const

virtual Double_t GetBinError (Int_t binx, Int_t biny, Int_t binz) const

virtual Double_t GetBinErrorLow (Int_t bin) const
Return lower error associated to bin number bin.

virtual EBinErrorOpt GetBinErrorOption () const

virtual Double_t GetBinErrorUp (Int_t bin) const
Return upper error associated to bin number bin.

virtual Double_t GetBinLowEdge (Int_t bin) const
Return bin lower edge for 1D histogram.

virtual Double_t GetBinWidth (Int_t bin) const
Return bin width for 1D histogram.

virtual Double_t GetBinWithContent (Double_t c, Int_t &binx, Int_t firstx=0, Int_t lastx=0, Double_t maxdiff=0) const
Compute first binx in the range [firstx,lastx] for which diff = abs(bin_content-c) <= maxdiff.

virtual void GetBinXYZ (Int_t binglobal, Int_t &binx, Int_t &biny, Int_t &binz) const
Return binx, biny, binz corresponding to the global bin number globalbin see TH1::GetBin function above.

const Double_tGetBuffer () const

Int_t GetBufferLength () const

Int_t GetBufferSize () const

virtual Double_t GetCellContent (Int_t binx, Int_t biny) const

virtual Double_t GetCellError (Int_t binx, Int_t biny) const

virtual void GetCenter (Double_t *center) const
Fill array with center of bins for 1D histogram Better to use h1.GetXaxis()->GetCenter(center)

virtual Int_t GetContour (Double_t *levels=nullptr)
Return contour values into array levels if pointer levels is non zero.

virtual Double_t GetContourLevel (Int_t level) const
Return value of contour number level.

virtual Double_t GetContourLevelPad (Int_t level) const
Return the value of contour number "level" in Pad coordinates.

TH1GetCumulative (Bool_t forward=kTRUE, const char *suffix="_cumulative") const
Return a pointer to a histogram containing the cumulative content.

virtual Int_t GetDimension () const

TDirectoryGetDirectory () 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 TF1GetFunction (const char *name) const
Return pointer to function with name.

virtual Double_tGetIntegral ()
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.

TListGetListOfFunctions () const

virtual void GetLowEdge (Double_t *edge) const
Fill array with low edge of bins for 1D histogram Better to use h1.GetXaxis()->GetLowEdge(edge)

virtual Double_t GetMaximum (Double_t maxval=FLT_MAX) const
Return maximum value smaller than maxval of bins in the range, unless the value has been overridden by TH1::SetMaximum, in which case it returns that value.

virtual Int_t GetMaximumBin () const
Return location of bin with maximum value in the range.

virtual Int_t GetMaximumBin (Int_t &locmax, Int_t &locmay, Int_t &locmaz) const
Return location of bin with maximum value in the range.

virtual Double_t GetMaximumStored () const

virtual Double_t GetMean (Int_t axis=1) const
For axis = 1,2 or 3 returns the mean value of the histogram along X,Y or Z axis.

virtual Double_t GetMeanError (Int_t axis=1) const
Return standard error of mean of this histogram along the X axis.

virtual Double_t GetMinimum (Double_t minval=-FLT_MAX) const
Return minimum value larger than minval of bins in the range, unless the value has been overridden by TH1::SetMinimum, in which case it returns that value.

virtual void GetMinimumAndMaximum (Double_t &min, Double_t &max) const
Retrieve the minimum and maximum values in the histogram.

virtual Int_t GetMinimumBin () const
Return location of bin with minimum value in the range.

virtual Int_t GetMinimumBin (Int_t &locmix, Int_t &locmiy, Int_t &locmiz) const
Return location of bin with minimum value in the range.

virtual Double_t GetMinimumStored () const

virtual Int_t GetNbinsX () const

virtual Int_t GetNbinsY () const

virtual Int_t GetNbinsZ () const

virtual Int_t GetNcells () const

virtual Int_t GetNdivisions (Option_t *axis="X") const
Return the number of divisions for "axis".

virtual Double_t GetNormFactor () const

char * GetObjectInfo (Int_t px, Int_t py) const override
Redefines TObject::GetObjectInfo.

Option_tGetOption () const override

TVirtualHistPainterGetPainter (Option_t *option="")
Return pointer to painter.

virtual Int_t GetQuantiles (Int_t nprobSum, Double_t *q, const Double_t *probSum=nullptr)
Compute Quantiles for this histogram Quantile x_q of a probability distribution Function F is defined as.

virtual Double_t GetRandom (TRandom *rng=nullptr) const
Return a random number distributed according the histogram bin contents.

Double_t GetRMS (Int_t axis=1) const
This function returns the Standard Deviation (Sigma) of the distribution not the Root Mean Square (RMS).

Double_t GetRMSError (Int_t axis=1) const

virtual Double_t GetSkewness (Int_t axis=1) const

EStatOverflows GetStatOverflows () const

virtual void GetStats (Double_t *stats) const
fill the array stats from the contents of this histogram The array stats must be correctly dimensioned in the calling program.

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 TArrayDGetSumw2 ()

virtual const TArrayDGetSumw2 () 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.

TAxisGetXaxis ()

const TAxisGetXaxis () const

TAxisGetYaxis ()

const TAxisGetYaxis () const

TAxisGetZaxis ()

const TAxisGetZaxis () const

virtual Double_t Integral (Int_t binx1, Int_t binx2, Option_t *option="") const
Return integral of bin contents in range [binx1,binx2].

virtual Double_t Integral (Option_t *option="") const
Return integral of bin contents.

virtual Double_t IntegralAndError (Int_t binx1, Int_t binx2, Double_t &err, Option_t *option="") const
Return integral of bin contents in range [binx1,binx2] and its error.

virtual Double_t Interpolate (Double_t x) const
Given a point x, approximates the value via linear interpolation based on the two nearest bin centers.

virtual Double_t Interpolate (Double_t x, Double_t y) const
2d Interpolation. Not yet implemented.

virtual Double_t Interpolate (Double_t x, Double_t y, Double_t z) const
3d Interpolation. Not yet implemented.

TClassIsA () const override

Bool_t IsBinOverflow (Int_t bin, Int_t axis=0) const
Return true if the bin is overflow.

Bool_t IsBinUnderflow (Int_t bin, Int_t axis=0) const
Return true if the bin is underflow.

virtual Bool_t IsHighlight () const

virtual Double_t KolmogorovTest (const TH1 *h2, Option_t *option="") const
Statistical test of compatibility in shape between this histogram and h2, using Kolmogorov test.

virtual void LabelsDeflate (Option_t *axis="X")
Reduce the number of bins for the axis passed in the option 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")
Sort bins with labels or set option(s) to draw axis with labels.

virtual Long64_t Merge (TCollection *list)

Long64_t Merge (TCollection *list, Option_t *option)
Add all histograms in the collection to this histogram.

virtual Bool_t Multiply (const TH1 *h1)
Multiply this histogram 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 histogram by multiplication of h1 by h2.

virtual Bool_t Multiply (TF1 *f1, Double_t c1=1)
Performs the operation:

void Paint (Option_t *option="") override
Control routine to paint any kind of histograms.

void Print (Option_t *option="") const override
Print some global quantities for this histogram.

virtual void PutStats (Double_t *stats)
Replace current statistics with the values in array stats.

virtual TH1Rebin (Int_t ngroup=2, const char *newname="", const Double_t *xbins=nullptr)
Rebin this histogram.

virtual void RebinAxis (Double_t x, TAxis *axis)

virtual TH1RebinX (Int_t ngroup=2, const char *newname="")

virtual void Rebuild (Option_t *option="")
Using the current bin info, recompute the arrays for contents and errors.

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

virtual void Reset (Option_t *option="")
Reset this histogram: contents, errors, etc.

virtual void ResetStats ()
Reset the statistics including the number of entries and replace with values calculated from bin content.

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

virtual void Scale (Double_t c1=1, Option_t *option="")
Multiply this histogram by a constant c1.

virtual void SetAxisColor (Color_t color=1, Option_t *axis="X")
Set color to draw the axis line and tick marks.

virtual void SetAxisRange (Double_t xmin, Double_t xmax, Option_t *axis="X")
Set the "axis" range.

virtual void SetBarOffset (Float_t offset=0.25)
Set the bar offset as fraction of the bin width for drawing mode "B".

virtual void SetBarWidth (Float_t width=0.5)
Set the width of bars as fraction of the bin width for drawing mode "B".

virtual void SetBinContent (Int_t bin, Double_t content)
Set bin content see convention for numbering bins in TH1::GetBin In case the bin number is greater than the number of bins and the timedisplay option is set or CanExtendAllAxes(), the number of bins is automatically doubled to accommodate the new bin.

virtual void SetBinContent (Int_t bin, Int_t, Double_t content)

virtual void SetBinContent (Int_t bin, Int_t, Int_t, Double_t content)

virtual void SetBinError (Int_t bin, Double_t error)
Set the bin Error Note that this resets the bin eror option to be of Normal Type and for the non-empty bin the bin error is set by default to the square root of their content.

virtual void SetBinError (Int_t binx, Int_t biny, Double_t error)
See convention for numbering bins in TH1::GetBin.

virtual void SetBinError (Int_t binx, Int_t biny, Int_t binz, Double_t error)
See convention for numbering bins in TH1::GetBin.

virtual void SetBinErrorOption (EBinErrorOpt type)

virtual void SetBins (Int_t nx, const Double_t *xBins)
Redefine x axis parameters with variable bin sizes.

virtual void SetBins (Int_t nx, const Double_t *xBins, Int_t ny, const Double_t *yBins)
Redefine x and y axis parameters with variable bin sizes.

virtual void SetBins (Int_t nx, const Double_t *xBins, Int_t ny, const Double_t *yBins, Int_t nz, const Double_t *zBins)
Redefine x, y and z axis parameters with variable bin sizes.

virtual void SetBins (Int_t nx, Double_t xmin, Double_t xmax)
Redefine x axis parameters.

virtual void SetBins (Int_t nx, Double_t xmin, Double_t xmax, Int_t ny, Double_t ymin, Double_t ymax)
Redefine x and y axis parameters.

virtual void 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)
Redefine x, y and z axis parameters.

virtual void SetBinsLength (Int_t=-1)

virtual void SetBuffer (Int_t buffersize, Option_t *option="")
Set the maximum number of entries to be kept in the buffer.

Make the histogram axes extendable / not extendable according to the bit mask returns the previous bit mask specifying which axes are extendable.

virtual void SetCellContent (Int_t binx, Int_t biny, Double_t content)

virtual void SetCellError (Int_t binx, Int_t biny, Double_t content)

virtual void SetContent (const Double_t *content)
Replace bin contents by the contents of array content.

virtual void SetContour (Int_t nlevels, const Double_t *levels=nullptr)
Set the number and values of contour levels.

virtual void SetContourLevel (Int_t level, Double_t value)
Set value for one contour level.

virtual void SetDirectory (TDirectory *dir)
By default, when a histogram is created, it is added to the list of histogram objects in the current directory in memory.

virtual void SetEntries (Double_t n)

virtual void SetError (const Double_t *error)
Replace bin errors by values in array error.

virtual void SetHighlight (Bool_t set=kTRUE)
Set highlight (enable/disable) mode for the histogram by default highlight mode is disable.

virtual void SetLabelColor (Color_t color=1, Option_t *axis="X")
Set axis labels color.

virtual void SetLabelFont (Style_t font=62, Option_t *axis="X")
Set font number used to draw axis labels.

virtual void SetLabelOffset (Float_t offset=0.005, Option_t *axis="X")
Set offset between axis and axis' labels.

virtual void SetLabelSize (Float_t size=0.02, Option_t *axis="X")
Set size of axis' labels.

virtual void SetMaximum (Double_t maximum=-1111)

virtual void SetMinimum (Double_t minimum=-1111)

void SetName (const char *name) override
Change the name of this histogram.

void SetNameTitle (const char *name, const char *title) override
Change the name and title of this histogram.

virtual void SetNdivisions (Int_t n=510, Option_t *axis="X")
Set the number of divisions to draw an axis.

virtual void SetNormFactor (Double_t factor=1)

virtual void SetOption (Option_t *option=" ")

void SetStatOverflows (EStatOverflows statOverflows)

virtual void SetStats (Bool_t stats=kTRUE)
Set statistics option on/off.

virtual void SetTickLength (Float_t length=0.02, Option_t *axis="X")
Set the axis' tick marks length.

void SetTitle (const char *title) override
Change/set the title.

virtual void SetTitleFont (Style_t font=62, Option_t *axis="X")
Set the axis' title font.

virtual void SetTitleOffset (Float_t offset=1, Option_t *axis="X")
Specify a parameter offset to control the distance between the axis and the axis' title.

virtual void SetTitleSize (Float_t size=0.02, Option_t *axis="X")
Set the axis' title size.

virtual void SetXTitle (const char *title)

virtual void SetYTitle (const char *title)

virtual void SetZTitle (const char *title)

virtual TH1ShowBackground (Int_t niter=20, Option_t *option="same")
This function calculates the background spectrum in this histogram.

virtual Int_t ShowPeaks (Double_t sigma=2, Option_t *option="", Double_t threshold=0.05)
Interface to TSpectrum::Search.

virtual void Smooth (Int_t ntimes=1, Option_t *option="")
Smooth bin contents of this histogram.

void Streamer (TBuffer &) override
Stream a class object.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void Sumw2 (Bool_t flag=kTRUE)
Create structure to store sum of squares of weights.

void UseCurrentStyle () override
Copy current attributes from/to current style. Public Member Functions inherited from TNamed
TNamed ()

TNamed (const char *name, const char *title)

TNamed (const TNamed &named)
TNamed copy ctor.

TNamed (const TString &name, const TString &title)

virtual ~TNamed ()
TNamed destructor.

void Clear (Option_t *option="") override
Set name and title to empty strings ("").

TObjectClone (const char *newname="") const override
Make a clone of an object using the Streamer facility.

Int_t Compare (const TObject *obj) const override
Compare two TNamed objects.

void Copy (TObject &named) const override
Copy this to obj.

virtual void FillBuffer (char *&buffer)
Encode TNamed into output buffer.

const char * GetName () const override
Returns name of object.

const char * GetTitle () const override
Returns title of object.

ULong_t Hash () const override
Return hash value for this object.

TClassIsA () const override

Bool_t IsSortable () const override

void ls (Option_t *option="") const override
List TNamed name and title.

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

void Print (Option_t *option="") const override
Print TNamed name and title.

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

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

virtual void SetTitle (const char *title="")
Set the title of the TNamed.

virtual Int_t Sizeof () const
Return size of the TNamed part of the TObject.

void Streamer (TBuffer &) override
Stream an object of class TObject.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TObject
TObject ()
TObject constructor.

TObject (const TObject &object)
TObject copy ctor.

virtual ~TObject ()
TObject destructor.

void AbstractMethod (const char *method) const
Use this method to implement an "abstract" method that you don't want to leave purely abstract.

Append graphics object to current pad.

virtual void Browse (TBrowser *b)
Browse object. May be overridden for another default action.

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 Clear (Option_t *="")

virtual TObjectClone (const char *newname="") const
Make a clone of an object using the Streamer facility.

virtual Int_t Compare (const TObject *obj) const
Compare abstract method.

virtual void Copy (TObject &object) const
Copy this to obj.

virtual void Delete (Option_t *option="")
Delete this object.

virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
Computes distance from point (px,py) to the object.

virtual void Draw (Option_t *option="")
Default Draw method for all objects.

virtual void DrawClass () const
Draw class inheritance tree of the class to which this object belongs.

virtual TObjectDrawClone (Option_t *option="") const
Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1).

virtual void Dump () const
Dump contents of object on stdout.

virtual void Error (const char *method, const char *msgfmt,...) const
Issue error message.

virtual void Execute (const char *method, const char *params, Int_t *error=nullptr)
Execute method on this object with the given parameter string, e.g.

virtual void Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr)
Execute method on this object with parameters stored in the TObjArray.

virtual void ExecuteEvent (Int_t event, Int_t px, Int_t py)
Execute action corresponding to an event at (px,py).

virtual void Fatal (const char *method, const char *msgfmt,...) const
Issue fatal error message.

virtual TObjectFindObject (const char *name) const
Must be redefined in derived classes.

virtual TObjectFindObject (const TObject *obj) const
Must be redefined in derived classes.

virtual Option_tGetDrawOption () const
Get option used by the graphics system to draw this object.

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

virtual const char * GetName () const
Returns name of object.

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

virtual Option_tGetOption () const

virtual const char * GetTitle () const
Returns title 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.

virtual ULong_t Hash () const
Return hash value for this object.

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 TClassIsA () const

Bool_t IsDestructed () const
IsDestructed.

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

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

R__ALWAYS_INLINE Bool_t IsOnHeap () const

virtual Bool_t IsSortable () const

R__ALWAYS_INLINE Bool_t IsZombie () const

virtual void ls (Option_t *option="") const
The ls function lists the contents of a class on stdout.

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)

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

virtual void Paint (Option_t *option="")
This method must be overridden if a class wants to paint itself.

virtual void Pop ()
Pop on object drawn in a pad to the top of the display list.

virtual void Print (Option_t *option="") const
This method must be overridden when a class wants to print itself.

virtual Int_t Read (const char *name)
Read contents of object with specified name from the current directory.

virtual void RecursiveRemove (TObject *obj)
Recursively remove this object from a list.

void ResetBit (UInt_t f)

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

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

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 Streamer (TBuffer &)
Stream an object of class TObject.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void SysError (const char *method, const char *msgfmt,...) const
Issue system error message.

R__ALWAYS_INLINE Bool_t TestBit (UInt_t f) const

Int_t TestBits (UInt_t f) const

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

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

virtual Int_t Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
Write this object to the current directory.

virtual Int_t Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
Write this object to the current directory. Public Member Functions inherited from TAttLine
TAttLine ()
AttLine default constructor.

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

virtual ~TAttLine ()
AttLine destructor.

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

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

virtual Color_t GetLineColor () const
Return the line color.

virtual Style_t GetLineStyle () const
Return the line style.

virtual Width_t GetLineWidth () const
Return the line width.

virtual TClassIsA () const

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.

virtual void Streamer (TBuffer &)

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TAttFill
TAttFill ()
AttFill default constructor.

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

virtual ~TAttFill ()
AttFill destructor.

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

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

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

virtual TClassIsA () const

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.

virtual void Streamer (TBuffer &)

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TAttMarker
TAttMarker ()
TAttMarker default constructor.

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

virtual ~TAttMarker ()
TAttMarker destructor.

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

virtual Color_t GetMarkerColor () const
Return the marker color.

virtual Size_t GetMarkerSize () const
Return the marker size.

virtual Style_t GetMarkerStyle () const
Return the marker style.

virtual TClassIsA () const

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.

virtual void Streamer (TBuffer &)

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TArrayD
TArrayD ()
Default TArrayD ctor.

TArrayD (const TArrayD &array)
Copy constructor.

TArrayD (Int_t n)
Create TArrayD object and set array size to n doubles.

TArrayD (Int_t n, const Double_t *array)
Create TArrayD object and initialize it with values of array.

virtual ~TArrayD ()
Delete TArrayD object.

void AddAt (Double_t c, Int_t i)
Set the double c value at position i in the array.

void Adopt (Int_t n, Double_t *array)
Adopt array arr into TArrayD, i.e.

Double_t At (Int_t i) const

void Copy (TArrayD &array) const

Double_tGetArray ()

const Double_tGetArray () const

Double_t GetAt (Int_t i) const override

Stat_t GetSum () const

TClassIsA () const override

TArrayDoperator= (const TArrayD &rhs)
TArrayD assignment operator.

Double_toperator[] (Int_t i)

Double_t operator[] (Int_t i) const

void Reset ()

void Reset (Double_t val)

void Set (Int_t n) override
Set size of this array to n doubles.

void Set (Int_t n, const Double_t *array)
Set size of this array to n doubles and set the contents This function should not be called if the array was declared via Adopt.

void SetAt (Double_t v, Int_t i) override

void Streamer (TBuffer &) override
Stream a TArrayD object.

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) Public Member Functions inherited from TArray
TArray ()

TArray (const TArray &a)

TArray (Int_t n)

virtual ~TArray ()

virtual Double_t GetAt (Int_t i) const =0

Int_t GetSize () const

virtual TClassIsA () const

TArrayoperator= (const TArray &rhs)

virtual void Set (Int_t n)=0

virtual void SetAt (Double_t v, Int_t i)=0

virtual void Streamer (TBuffer &)

void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

## Static Public Member Functions

static void Approximate (Bool_t approx=kTRUE)
Static function to set the fgApproximate flag.

static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TH1D
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TH1
Sets the flag controlling the automatic add of histograms in memory.

Static function: cannot be inlined on Windows/NT.

static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName ()

static Int_t FitOptionsMake (Option_t *option, Foption_t &Foption)
Decode string choptin and fill fitOption structure.

static Int_t GetDefaultBufferSize ()
Static function return the default buffer size for automatic histograms the parameter fgBufferSize may be changed via SetDefaultBufferSize.

static Bool_t GetDefaultSumw2 ()
Return kTRUE if TH1::Sumw2 must be called when creating new histograms.

static void SetDefaultBufferSize (Int_t buffersize=1000)
Static function to set the default buffer size for automatic histograms.

static void SetDefaultSumw2 (Bool_t sumw2=kTRUE)
When this static function is called with sumw2=kTRUE, all new histograms will automatically activate the storage of the sum of squares of errors, ie TH1::Sumw2 is automatically called.

static void SmoothArray (Int_t NN, Double_t *XX, Int_t ntimes=1)
Smooth array xx, translation of Hbook routine hsmoof.F.

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 TH1TransformHisto (TVirtualFFT *fft, TH1 *h_output, Option_t *option)
For a given transform (first parameter), fills the histogram (second parameter) with the transform output data, specified in the third parameter If the 2nd parameter h_output is empty, a new histogram (TH1D or TH2D) is created and the user is responsible for deleting it. Static Public Member Functions inherited from TNamed
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TObject
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName ()

static Longptr_t GetDtorOnly ()
Return destructor only flag.

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

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

static void SetObjectStat (Bool_t stat)
Turn on/off tracking of objects in the TObjectTable. Static Public Member Functions inherited from TAttLine
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TAttFill
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TAttMarker
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName ()

static Width_t GetMarkerLineWidth (Style_t style)
Internal helper function that returns the line width of the given marker style (0 = filled marker)

static Style_t GetMarkerStyleBase (Style_t style)
Internal helper function that returns the corresponding marker style with line width 1 for the given style. Static Public Member Functions inherited from TArrayD
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName () Static Public Member Functions inherited from TArray
static TClassClass ()

static const char * Class_Name ()

static constexpr Version_t Class_Version ()

static const char * DeclFileName ()

static TArrayReadArray (TBuffer &b, const TClass *clReq)

static void WriteArray (TBuffer &b, const TArray *a)
Write TArray object to buffer.

## Protected Member Functions

virtual Int_t BufferFill (Double_t x, Double_t y, Double_t w)
accumulate arguments in buffer.

Int_t BufferFill (Double_t, Double_t) override
accumulate arguments in buffer.

Int_t Fill (const Double_t *v)

Double_t GetBinErrorSqUnchecked (Int_t bin) const override

Double_t RetrieveBinContent (Int_t bin) const override
Raw retrieval of bin content on internal data structure see convention for numbering bins in TH1::GetBin.

void SetBins (const Int_t *nbins, const Double_t *range) Protected Member Functions inherited from TH1D
Double_t RetrieveBinContent (Int_t bin) const override
Raw retrieval of bin content on internal data structure see convention for numbering bins in TH1::GetBin.

void UpdateBinContent (Int_t bin, Double_t content) override
Raw update of bin content on internal data structure see convention for numbering bins in TH1::GetBin. Protected Member Functions inherited from TH1
TH1 ()
Histogram default constructor.

TH1 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins)
Constructor for variable bin size histograms using an input array of type double.

TH1 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins)
Constructor for variable bin size histograms using an input array of type float.

TH1 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup)
Constructor for fix bin size histograms.

virtual Int_t AutoP2FindLimits (Double_t min, Double_t max)
Buffer-based estimate of the histogram range using the power of 2 algorithm.

Int_t AxisChoice (Option_t *axis) const
Choose an axis according to "axis".

virtual Int_t BufferFill (Double_t x, Double_t w)
accumulate arguments in buffer.

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.

virtual Double_t GetBinErrorSqUnchecked (Int_t bin) const

Bool_t GetStatOverflowsBehaviour () const

Bool_t IsEmpty () const
Check if a histogram is empty (this is a protected method used mainly by TH1Merger )

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.

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.

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 TObject
virtual void DoError (int level, const char *location, const char *fmt, va_list va) const
Interface to ErrorHandler (protected).

void MakeZombie () Protected Member Functions inherited from TArray
Bool_t BoundsOk (const char *where, Int_t at) const

Bool_t OutOfBoundsError (const char *where, Int_t i) const
Generate an out-of-bounds error. Always returns false.

## Protected Attributes

TArrayD fBinEntries
number of entries per bin

TArrayD fBinSumw2
Array of sum of squares of weights per bin.

EErrorType fErrorMode
Option to compute errors.

Bool_t fScaling
! True when TProfile::Scale is called

Double_t fTsumwy
Total Sum of weight*Y.

Double_t fTsumwy2
Total Sum of weight*Y*Y.

Double_t fYmax
Upper limit in Y (if set)

Double_t fYmin
Lower limit in Y (if set) Protected Attributes inherited from TH1
Short_t fBarOffset
(1000*offset) for bar charts or legos

Short_t fBarWidth
(1000*width) for bar charts or legos

EBinErrorOpt fBinStatErrOpt
Option for bin statistical errors.

Double_tfBuffer
[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)

TDirectoryfDirectory
! Pointer to directory holding this histogram

Double_t fEntries
Number of entries.

TListfFunctions
->Pointer to list of functions (fits and user)

Double_tfIntegral
! 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.

TVirtualHistPainterfPainter
! Pointer to histogram painter

EStatOverflows fStatOverflows
Per object flag to use under/overflows in statistics.

TArrayD fSumw2
Array of sum of squares of weights.

Double_t fTsumw
Total Sum of weights.

Double_t fTsumw2
Total Sum of squares of weights.

Double_t fTsumwx
Total Sum of weight*X.

Double_t fTsumwx2
Total Sum of weight*X*X.

TAxis fXaxis
X axis descriptor.

TAxis fYaxis
Y axis descriptor.

TAxis fZaxis
Z axis descriptor. Protected Attributes inherited from TNamed
TString fName

TString fTitle Protected Attributes inherited from TAttLine
Color_t fLineColor
Line color.

Style_t fLineStyle
Line style.

Width_t fLineWidth
Line width. Protected Attributes inherited from TAttFill
Color_t fFillColor
Fill area color.

Style_t fFillStyle
Fill area style. Protected Attributes inherited from TAttMarker
Color_t fMarkerColor
Marker color.

Size_t fMarkerSize
Marker size.

Style_t fMarkerStyle
Marker style.

## Static Protected Attributes

static Bool_t fgApproximate = kFALSE
bin error approximation option Static Protected Attributes inherited from TH1
! Flag to add histograms to the directory

static Int_t fgBufferSize = 1000
! Default buffer size for automatic histograms

static Bool_t fgDefaultSumw2 = kFALSE
! Flag to call TH1::Sumw2 automatically at histogram creation time

static Bool_t fgStatOverflows = kFALSE
! Flag to use under/overflows in statistics

## Private Member Functions

Int_t Fill (Double_t) override
Increment bin with abscissa X by 1.

void FillN (Int_t, const Double_t *, const Double_t *, Int_t) override
Fill this histogram with an array x and weights w.

Double_tGetB ()

Double_tGetB2 ()

Double_tGetW ()

Double_tGetW2 ()

void SetBins (Int_t, const Double_t *, Int_t, const Double_t *) override
Redefine x and y axis parameters with variable bin sizes.

void SetBins (Int_t, const Double_t *, Int_t, const Double_t *, Int_t, const Double_t *) override
Redefine x, y and z axis parameters with variable bin sizes.

void SetBins (Int_t, Double_t, Double_t, Int_t, Double_t, Double_t) override
Redefine x and y axis parameters.

void SetBins (Int_t, Double_t, Double_t, Int_t, Double_t, Double_t, Int_t, Double_t, Double_t) override
Redefine x, y and z axis parameters.

## Friends

class TH1Merger

class TProfileHelper Public Types inherited from TH1
enum  {
kNoAxis = 0 , kXaxis = (1ULL << ( 0 )) , kYaxis = (1ULL << ( 1 )) , kZaxis = (1ULL << ( 2 )) ,
kAllAxes = kXaxis | kYaxis | kZaxis
}
Enumeration specifying which axes can be extended. More...

enum  { kNstat = 13 }
Size of statistics data (size of array used in GetStats()/ PutStats ) More...

enum  EBinErrorOpt { kNormal = 0 , kPoisson = 1 , kPoisson2 = 2 }
Enumeration specifying type of statistics for bin errors. More...

enum  EStatOverflows { kIgnore = 0 , kConsider = 1 , kNeutral = 2 }
Enumeration specifying the way to treat statoverflow. More...

enum  EStatusBits {
kNoStats = (1ULL << ( 9 )) , kUserContour = (1ULL << ( 10 )) , kLogX = (1ULL << ( 15 )) , kIsZoomed = (1ULL << ( 16 )) ,
kNoTitle = (1ULL << ( 17 )) , kIsAverage = (1ULL << ( 18 )) , kIsNotW = (1ULL << ( 19 )) , kAutoBinPTwo = (1ULL << ( 20 )) ,
kIsHighlight = (1ULL << ( 21 ))
}
TH1 status bits. More... Public Types inherited from TObject
enum  {
kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 ,
}

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

enum  EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum  EStatusBits {
kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) ,
kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 ))
} Public Attributes inherited from TArrayD
Double_tfArray Public Attributes inherited from TArray
Int_t fN Protected Types inherited from TObject
enum  { kOnlyPrepStep = (1ULL << ( 3 )) } Static Protected Member Functions inherited from TH1
static Int_t AutoP2GetBins (Int_t n)
Auxiliary function to get the next power of 2 integer value larger then n.

static Double_t AutoP2GetPower2 (Double_t x, Bool_t next=kTRUE)
Auxiliary function to get the power of 2 next (larger) or previous (smaller) a given x.

static bool CheckAxisLimits (const TAxis *a1, const TAxis *a2)
Check that the axis limits of the histograms are the same.

static bool CheckBinLabels (const TAxis *a1, const TAxis *a2)
Check that axis have same labels.

static bool CheckBinLimits (const TAxis *a1, const TAxis *a2)
Check bin limits.

static bool CheckConsistency (const TH1 *h1, const TH1 *h2)
Check histogram compatibility.

static bool CheckConsistentSubAxes (const TAxis *a1, Int_t firstBin1, Int_t lastBin1, const TAxis *a2, Int_t firstBin2=0, Int_t lastBin2=0)
Check that two sub axis are the same.

static bool CheckEqualAxes (const TAxis *a1, const TAxis *a2)
Check that the axis are the same.

static Bool_t RecomputeAxisLimits (TAxis &destAxis, const TAxis &anAxis)
Finds new limits for the axis for the Merge function.

static Bool_t SameLimitsAndNBins (const TAxis &axis1, const TAxis &axis2)
Same limits and bins.

#include <TProfile.h>

Inheritance diagram for TProfile:
[legend]

## ◆ TProfile() [1/7]

 TProfile::TProfile ( )

Default constructor for Profile histograms.

Definition at line 92 of file TProfile.cxx.

## ◆ TProfile() [2/7]

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

Normal Constructor for Profile histograms.

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

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

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

See TProfile::BuildOptions() for explanation of parameters

Definition at line 126 of file TProfile.cxx.

## ◆ TProfile() [3/7]

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

Constructor for Profile histograms with range in y.

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

See TProfile::BuildOptions for more explanations on errors

Definition at line 180 of file TProfile.cxx.

## ◆ TProfile() [4/7]

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

Constructor for Profile histograms with variable bin size.

Definition at line 138 of file TProfile.cxx.

## ◆ TProfile() [5/7]

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

Constructor for Profile histograms with variable bin size.

Definition at line 150 of file TProfile.cxx.

## ◆ TProfile() [6/7]

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

Constructor for Profile histograms with variable bin size.

See TProfile::BuildOptions for more explanations on errors

Definition at line 162 of file TProfile.cxx.

## ◆ TProfile() [7/7]

 TProfile::TProfile ( const TProfile & profile )

Copy constructor.

Definition at line 244 of file TProfile.cxx.

## ◆ ~TProfile()

 TProfile::~TProfile ( )
override

Default destructor for Profile histograms.

Definition at line 100 of file TProfile.cxx.

## Member Function Documentation

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

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

this = c1*h1 + c2*h2

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

Reimplemented from TH1.

Definition at line 291 of file TProfile.cxx.

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

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

Reimplemented from TH1.

Definition at line 269 of file TProfile.cxx.

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

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

Reimplemented from TH1.

Definition at line 259 of file TProfile.cxx.

## ◆ Approximate()

 void TProfile::Approximate ( Bool_t approx = kTRUE )
static

Static function to set the fgApproximate flag.

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

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

Definition at line 321 of file TProfile.cxx.

## ◆ BufferEmpty()

 Int_t TProfile::BufferEmpty ( Int_t action = 0 )
overridevirtual

Fill histogram with all entries in the buffer.

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

Reimplemented from TH1.

Definition at line 335 of file TProfile.cxx.

## ◆ BufferFill() [1/2]

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

accumulate arguments in buffer.

When buffer is full, empty the buffer.

• fBuffer = number of entries in buffer
• fBuffer = w of first entry
• fBuffer = x of first entry
• fBuffer = y of first entry

Definition at line 393 of file TProfile.cxx.

## ◆ BufferFill() [2/2]

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

accumulate arguments in buffer.

When buffer is full, empty the buffer

• fBuffer = number of entries in buffer
• fBuffer = w of first entry
• fBuffer = x of first entry

Reimplemented from TH1.

Definition at line 50 of file TProfile.h.

## ◆ BuildOptions()

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

Set Profile histogram structure and options.

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

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

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

Definition at line 227 of file TProfile.cxx.

## ◆ Class()

 static TClass * TProfile::Class ( )
static
Returns
TClass describing this class

## ◆ Class_Name()

 static const char * TProfile::Class_Name ( )
static
Returns
Name of this class

## ◆ Class_Version()

 static constexpr Version_t TProfile::Class_Version ( )
inlinestaticconstexpr
Returns
Version of this class

Definition at line 138 of file TProfile.h.

## ◆ Copy()

 void TProfile::Copy ( TObject & hnew ) const
overridevirtual

Copy a Profile histogram to a new profile histogram.

Reimplemented from TH1D.

Definition at line 420 of file TProfile.cxx.

## ◆ DeclFileName()

 static const char * TProfile::DeclFileName ( )
inlinestatic
Returns
Name of the file containing the class declaration

Definition at line 138 of file TProfile.h.

## ◆ Divide() [1/3]

 Bool_t TProfile::Divide ( const TH1 * h1 )
overridevirtual

Divide this profile by h1.

this = this/h1

This function accepts to divide a TProfile by a histogram

The function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 465 of file TProfile.cxx.

## ◆ Divide() [2/3]

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

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

this = c1*h1/(c2*h2)

The function return kFALSE if the divide operation failed

Reimplemented from TH1.

Definition at line 544 of file TProfile.cxx.

## ◆ Divide() [3/3]

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

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

This function is not implemented for the TProfile

Reimplemented from TH1.

Definition at line 450 of file TProfile.cxx.

## ◆ ExtendAxis()

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

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

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

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

Reimplemented from TH1.

Definition at line 1580 of file TProfile.cxx.

## ◆ Fill() [1/6]

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

Fill a Profile histogram (no weights).

Reimplemented from TH1.

Definition at line 677 of file TProfile.cxx.

## ◆ Fill() [2/6]

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

Fill a Profile histogram with weights.

Definition at line 739 of file TProfile.cxx.

## ◆ Fill() [3/6]

 Int_t TProfile::Fill ( const Double_t * v )
inlineprotected

Definition at line 55 of file TProfile.h.

## ◆ Fill() [4/6]

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

Fill a Profile histogram (no weights).

Reimplemented from TH1.

Definition at line 647 of file TProfile.cxx.

## ◆ Fill() [5/6]

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

Fill a Profile histogram with weights.

Definition at line 707 of file TProfile.cxx.

## ◆ Fill() [6/6]

 Int_t TProfile::Fill ( Double_t x )
inlineoverrideprivatevirtual

Increment bin with abscissa X by 1.

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

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

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

Reimplemented from TH1.

Definition at line 62 of file TProfile.h.

## ◆ FillN() [1/2]

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

Fill a Profile histogram with weights.

Reimplemented from TH1.

Definition at line 773 of file TProfile.cxx.

## ◆ FillN() [2/2]

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

Fill this histogram with an array x and weights w.

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

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

Reimplemented from TH1.

Definition at line 63 of file TProfile.h.

## ◆ GetB()

 Double_t * TProfile::GetB ( )
inlineprivate

Definition at line 64 of file TProfile.h.

## ◆ GetB2()

 Double_t * TProfile::GetB2 ( )
inlineprivate

Definition at line 65 of file TProfile.h.

## ◆ GetBinContent() [1/3]

 Double_t TProfile::GetBinContent ( Int_t bin ) const
overridevirtual

Return bin content of a Profile histogram.

Reimplemented from TH1.

Definition at line 821 of file TProfile.cxx.

## ◆ GetBinContent() [2/3]

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

Reimplemented from TH1.

Definition at line 104 of file TProfile.h.

## ◆ GetBinContent() [3/3]

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

Reimplemented from TH1.

Definition at line 105 of file TProfile.h.

## ◆ GetBinEffectiveEntries()

 Double_t TProfile::GetBinEffectiveEntries ( Int_t bin ) const
virtual

Return bin effective entries for a weighted filled Profile histogram.

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

Definition at line 850 of file TProfile.cxx.

## ◆ GetBinEntries()

 Double_t TProfile::GetBinEntries ( Int_t bin ) const
virtual

Return bin entries of a Profile histogram.

Definition at line 834 of file TProfile.cxx.

## ◆ GetBinError() [1/3]

 Double_t TProfile::GetBinError ( Int_t bin ) const
overridevirtual

Return bin error of a Profile histogram.

Computing errors: A moving field

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

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

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

Reimplemented from TH1.

Definition at line 885 of file TProfile.cxx.

## ◆ GetBinError() [2/3]

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

Reimplemented from TH1.

Definition at line 107 of file TProfile.h.

## ◆ GetBinError() [3/3]

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

Reimplemented from TH1.

Definition at line 108 of file TProfile.h.

## ◆ GetBinErrorSqUnchecked()

 Double_t TProfile::GetBinErrorSqUnchecked ( Int_t bin ) const
inlineoverrideprotectedvirtual

Reimplemented from TH1.

Definition at line 59 of file TProfile.h.

## ◆ GetBinSumw2() [1/2]

 virtual TArrayD * TProfile::GetBinSumw2 ( )
inlinevirtual

Definition at line 111 of file TProfile.h.

## ◆ GetBinSumw2() [2/2]

 virtual const TArrayD * TProfile::GetBinSumw2 ( ) const
inlinevirtual

Definition at line 112 of file TProfile.h.

## ◆ GetErrorOption()

 Option_t * TProfile::GetErrorOption ( ) const

Return option to compute profile errors.

Definition at line 893 of file TProfile.cxx.

## ◆ GetStats()

 void TProfile::GetStats ( Double_t * stats ) const
overridevirtual

fill the array stats from the contents of this profile.

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

• stats = sumw
• stats = sumw2
• stats = sumwx
• stats = sumwx2
• stats = sumwy
• stats = sumwy2

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

Reimplemented from TH1.

Definition at line 918 of file TProfile.cxx.

## ◆ GetW()

 Double_t * TProfile::GetW ( )
inlineprivate

Definition at line 66 of file TProfile.h.

## ◆ GetW2()

 Double_t * TProfile::GetW2 ( )
inlineprivate

Definition at line 67 of file TProfile.h.

## ◆ GetYmax()

 virtual Double_t TProfile::GetYmax ( ) const
inlinevirtual

Definition at line 116 of file TProfile.h.

## ◆ GetYmin()

 virtual Double_t TProfile::GetYmin ( ) const
inlinevirtual

Definition at line 115 of file TProfile.h.

## ◆ IsA()

 TClass * TProfile::IsA ( ) const
inlineoverridevirtual
Returns
TClass describing current object

Reimplemented from TH1D.

Definition at line 138 of file TProfile.h.

## ◆ LabelsDeflate()

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

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

Reimplemented from TH1.

Definition at line 970 of file TProfile.cxx.

## ◆ LabelsInflate()

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

Double the number of bins for axis.

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

Reimplemented from TH1.

Definition at line 980 of file TProfile.cxx.

## ◆ LabelsOption()

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

Set option(s) to draw axis with labels.

option might have the following values:

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

Reimplemented from TH1.

Definition at line 998 of file TProfile.cxx.

## ◆ Merge()

 Long64_t TProfile::Merge ( TCollection * li )
overridevirtual

Merge all histograms in the collection in this histogram.

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

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

Reimplemented from TH1.

Definition at line 1189 of file TProfile.cxx.

## ◆ Multiply() [1/3]

 Bool_t TProfile::Multiply ( const TH1 * h1 )
overridevirtual

Multiply this profile by h1.

this = this*h1

Reimplemented from TH1.

Definition at line 1241 of file TProfile.cxx.

## ◆ Multiply() [2/3]

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

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

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

Reimplemented from TH1.

Definition at line 1253 of file TProfile.cxx.

## ◆ Multiply() [3/3]

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

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

The function return kFALSE if the Multiply operation failed

Reimplemented from TH1.

Definition at line 1199 of file TProfile.cxx.

## ◆ operator=()

 TProfile & TProfile::operator= ( const TProfile & profile )

Definition at line 249 of file TProfile.cxx.

## ◆ ProjectionX()

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

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

The projection is always of the type TH1D.

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

Definition at line 1280 of file TProfile.cxx.

## ◆ PutStats()

 void TProfile::PutStats ( Double_t * stats )
overridevirtual

Replace current statistics with the values in array stats.

Reimplemented from TH1.

Definition at line 1355 of file TProfile.cxx.

## ◆ Rebin()

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

Rebin this profile grouping ngroup bins together.

## case 1 xbins=0

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

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

hp->Rebin(); //merges two bins in one in hp: previous contents of hp are lost
hp->Rebin(5); //merges five bins in one in hp
TProfile *hnew = hp->Rebin(5,"hnew"); // creates a new profile hnew
//merging 5 bins of hp in one bin
Profile Histogram.
Definition TProfile.h:32
TH1 * Rebin(Int_t ngroup=2, const char *newname="", const Double_t *xbins=nullptr) override
Rebin this profile grouping ngroup bins together.

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

## case 2 xbins!=0

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

examples: if hp is an existing TProfile with 100 bins

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

Reimplemented from TH1.

Definition at line 1407 of file TProfile.cxx.

## ◆ Reset()

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

Reset contents of a Profile histogram.

Reimplemented from TH1D.

Definition at line 1594 of file TProfile.cxx.

## ◆ RetrieveBinContent()

 Double_t TProfile::RetrieveBinContent ( Int_t bin ) const
inlineoverrideprotectedvirtual

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

Reimplemented from TH1D.

Definition at line 57 of file TProfile.h.

## ◆ SavePrimitive()

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

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

Reimplemented from TH1.

Definition at line 1609 of file TProfile.cxx.

## ◆ Scale()

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

Multiply this profile by a constant c1.

this = c1*this

This function uses the services of TProfile::Add

Reimplemented from TH1.

Definition at line 1689 of file TProfile.cxx.

## ◆ SetBinEntries()

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

Set the number of entries in bin.

Definition at line 1697 of file TProfile.cxx.

## ◆ SetBins() [1/7]

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

Definition at line 54 of file TProfile.h.

## ◆ SetBins() [2/7]

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

Redefine x axis parameters.

Reimplemented from TH1.

Definition at line 1705 of file TProfile.cxx.

## ◆ SetBins() [3/7]

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

Redefine x axis parameters.

Reimplemented from TH1.

Definition at line 1715 of file TProfile.cxx.

## ◆ SetBins() [4/7]

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

Redefine x and y axis parameters with variable bin sizes.

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

Reimplemented from TH1.

Definition at line 70 of file TProfile.h.

## ◆ SetBins() [5/7]

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

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

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

Reimplemented from TH1.

Definition at line 74 of file TProfile.h.

## ◆ SetBins() [6/7]

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

Redefine x and y axis parameters.

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

Reimplemented from TH1.

Definition at line 68 of file TProfile.h.

## ◆ SetBins() [7/7]

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

Redefine x, y and z axis parameters.

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

Reimplemented from TH1.

Definition at line 72 of file TProfile.h.

## ◆ SetBinsLength()

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

Set total number of bins including under/overflow.

Reallocate bin contents array

Reimplemented from TH1D.

Definition at line 1726 of file TProfile.cxx.

## ◆ SetBuffer()

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

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

Reimplemented from TH1.

Definition at line 1735 of file TProfile.cxx.

## ◆ SetErrorOption()

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

Set option to compute profile errors.

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

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

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

Definition at line 1774 of file TProfile.cxx.

## ◆ Streamer()

 void TProfile::Streamer ( TBuffer & R__b )
overridevirtual

Stream an object of class TProfile.

Reimplemented from TH1D.

Definition at line 1782 of file TProfile.cxx.

## ◆ StreamerNVirtual()

 void TProfile::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )
inline

Definition at line 138 of file TProfile.h.

## ◆ Sumw2()

 void TProfile::Sumw2 ( Bool_t flag = kTRUE )
overridevirtual

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

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

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

Reimplemented from TH1.

Definition at line 1822 of file TProfile.cxx.

## ◆ TH1Merger

 friend class TH1Merger
friend

Definition at line 36 of file TProfile.h.

## ◆ TProfileHelper

 friend class TProfileHelper
friend

Definition at line 35 of file TProfile.h.

## ◆ fBinEntries

 TArrayD TProfile::fBinEntries
protected

number of entries per bin

Definition at line 39 of file TProfile.h.

## ◆ fBinSumw2

 TArrayD TProfile::fBinSumw2
protected

Array of sum of squares of weights per bin.

Definition at line 46 of file TProfile.h.

## ◆ fErrorMode

 EErrorType TProfile::fErrorMode
protected

Option to compute errors.

Definition at line 40 of file TProfile.h.

## ◆ fgApproximate

 Bool_t TProfile::fgApproximate = kFALSE
staticprotected

bin error approximation option

Definition at line 48 of file TProfile.h.

## ◆ fScaling

 Bool_t TProfile::fScaling
protected

! True when TProfile::Scale is called

Definition at line 43 of file TProfile.h.

## ◆ fTsumwy

 Double_t TProfile::fTsumwy
protected

Total Sum of weight*Y.

Definition at line 44 of file TProfile.h.

## ◆ fTsumwy2

 Double_t TProfile::fTsumwy2
protected

Total Sum of weight*Y*Y.

Definition at line 45 of file TProfile.h.

## ◆ fYmax

 Double_t TProfile::fYmax
protected

Upper limit in Y (if set)

Definition at line 42 of file TProfile.h.

## ◆ fYmin

 Double_t TProfile::fYmin
protected

Lower limit in Y (if set)

Definition at line 41 of file TProfile.h.

Libraries for TProfile: [legend]

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