The 3-D histogram classes derived from the 1-D histogram classes.
All operations are supported (fill, fit). Drawing is currently restricted to one single option. A cloud of points is drawn. The number of points is proportional to cell content.
Public Member Functions | |
virtual | ~TH3 () |
Destructor. | |
virtual Int_t | BufferEmpty (Int_t action=0) |
Fill histogram with all entries in the buffer. | |
virtual void | Copy (TObject &hnew) const |
Copy. | |
virtual Int_t | Fill (const char *namex, const char *namey, const char *namez, Double_t w) |
Increment cell defined by namex,namey,namez by a weight w. | |
virtual Int_t | Fill (const char *namex, const char *namey, Double_t z, Double_t w) |
Increment cell defined by namex,namey,z by a weight w. | |
virtual Int_t | Fill (const char *namex, Double_t y, const char *namez, Double_t w) |
Increment cell defined by namex,y,namez by a weight w. | |
virtual Int_t | Fill (const char *namex, Double_t y, Double_t z, Double_t w) |
Increment cell defined by namex , y ,z by a weight w. | |
virtual Int_t | Fill (Double_t x, const char *namey, const char *namez, Double_t w) |
Increment cell defined by x,namey,namez by a weight w. | |
virtual Int_t | Fill (Double_t x, const char *namey, Double_t z, Double_t w) |
Increment cell defined by x,namey,z by a weight w. | |
virtual Int_t | Fill (Double_t x, Double_t y, const char *namez, Double_t w) |
Increment cell defined by x,y,namez by a weight w. | |
virtual Int_t | Fill (Double_t x, Double_t y, Double_t z) |
Increment cell defined by x,y,z by 1 . | |
virtual Int_t | Fill (Double_t x, Double_t y, Double_t z, Double_t w) |
Increment cell defined by x,y,z by a weight w. | |
virtual void | FillRandom (const char *fname, Int_t ntimes=5000, TRandom *rng=nullptr) |
Fill histogram following distribution in function fname. | |
virtual void | FillRandom (TH1 *h, Int_t ntimes=5000, TRandom *rng=nullptr) |
Fill histogram following distribution in histogram h. | |
virtual void | FitSlicesZ (TF1 *f1=0, Int_t binminx=1, Int_t binmaxx=0, Int_t binminy=1, Int_t binmaxy=0, Int_t cut=0, Option_t *option="QNR") |
Project slices along Z in case of a 3-D histogram, then fit each slice with function f1 and make a 2-d histogram for each fit parameter Only cells in the bin range [binminx,binmaxx] and [binminy,binmaxy] are considered. | |
virtual Int_t | GetBin (Int_t binx, Int_t biny, Int_t binz) const |
See comments in TH1::GetBin. | |
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 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 Double_t | GetBinErrorLow (Int_t binx, Int_t biny, Int_t binz) |
virtual Double_t | GetBinErrorUp (Int_t bin) const |
Return upper error associated to bin number bin. | |
virtual Double_t | GetBinErrorUp (Int_t binx, Int_t biny, Int_t binz) |
virtual Double_t | GetBinWithContent3 (Double_t c, Int_t &binx, Int_t &biny, Int_t &binz, Int_t firstx=0, Int_t lastx=0, Int_t firsty=0, Int_t lasty=0, Int_t firstz=0, Int_t lastz=0, Double_t maxdiff=0) const |
Compute first cell (binx,biny,binz) in the range [firstx,lastx](firsty,lasty][firstz,lastz] for which diff = abs(cell_content-c) <= maxdiff In case several cells in the specified range with diff=0 are found the first cell found is returned in binx,biny,binz. | |
virtual Double_t | GetCorrelationFactor (Int_t axis1=1, Int_t axis2=2) const |
Return correlation factor between axis1 and axis2. | |
virtual Double_t | GetCovariance (Int_t axis1=1, Int_t axis2=2) const |
Return covariance between axis1 and axis2. | |
virtual void | GetRandom3 (Double_t &x, Double_t &y, Double_t &, TRandom *rng=nullptr) |
Return 3 random numbers along axis x , y and z distributed according to the cell-contents of this 3-dim histogram. | |
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 | Integral (Int_t binx1, Int_t binx2, Int_t biny1, Int_t biny2, Int_t binz1, Int_t binz2, Option_t *option="") const |
Return integral of bin contents in range [binx1,binx2],[biny1,biny2],[binz1,binz2] for a 3-D histogram By default the integral is computed as the sum of bin contents in the range. | |
virtual Double_t | Integral (Option_t *option="") const |
Return integral of bin contents. | |
virtual Double_t | IntegralAndError (Int_t binx1, Int_t binx2, Int_t biny1, Int_t biny2, Int_t binz1, Int_t binz2, Double_t &err, Option_t *option="") const |
Return integral of bin contents in range [binx1,binx2],[biny1,biny2],[binz1,binz2] for a 3-D histogram. | |
virtual Double_t | Interpolate (Double_t x, Double_t y, Double_t z) const |
Given a point P(x,y,z), Interpolate approximates the value via trilinear interpolation based on the 8 nearest bin center points (corner of the cube surrounding the points) The Algorithm is described in http://en.wikipedia.org/wiki/Trilinear_interpolation The given values (x,y,z) must be between first bin center and last bin center for each coordinate: | |
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 TH1 * | Project3D (Option_t *option="x") const |
Project a 3-d histogram into 1 or 2-d histograms depending on the option parameter, which may contain a combination of the characters x,y,z,e. | |
virtual TProfile2D * | Project3DProfile (Option_t *option="xy") const |
Project a 3-d histogram into a 2-d profile histograms depending on the option parameter option may contain a combination of the characters x,y,z option = "xy" return the x versus y projection into a TProfile2D histogram option = "yx" return the y versus x projection into a TProfile2D histogram option = "xz" return the x versus z projection into a TProfile2D histogram option = "zx" return the z versus x projection into a TProfile2D histogram option = "yz" return the y versus z projection into a TProfile2D histogram option = "zy" return the z versus y projection into a TProfile2D histogram NB: the notation "a vs b" means "a" vertical and "b" horizontal. | |
virtual TH1D * | ProjectionX (const char *name="_px", Int_t iymin=0, Int_t iymax=-1, Int_t izmin=0, Int_t izmax=-1, Option_t *option="") const |
Project a 3-D histogram into a 1-D histogram along X. | |
virtual TH1D * | ProjectionY (const char *name="_py", Int_t ixmin=0, Int_t ixmax=-1, Int_t izmin=0, Int_t izmax=-1, Option_t *option="") const |
Project a 3-D histogram into a 1-D histogram along Y. | |
virtual TH1D * | ProjectionZ (const char *name="_pz", Int_t ixmin=0, Int_t ixmax=-1, Int_t iymin=0, Int_t iymax=-1, Option_t *option="") const |
Project a 3-D histogram into a 1-D histogram along Z. | |
virtual void | PutStats (Double_t *stats) |
Replace current statistics with the values in array stats. | |
virtual TH3 * | Rebin3D (Int_t nxgroup=2, Int_t nygroup=2, Int_t nzgroup=2, const char *newname="") |
Rebin this histogram grouping nxgroup/nygroup/nzgroup bins along the xaxis/yaxis/zaxis together. | |
virtual TH3 * | RebinX (Int_t ngroup=2, const char *newname="") |
Rebin only the X axis see Rebin3D. | |
virtual TH3 * | RebinY (Int_t ngroup=2, const char *newname="") |
Rebin only the Y axis see Rebin3D. | |
virtual TH3 * | RebinZ (Int_t ngroup=2, const char *newname="") |
Rebin only the Z axis see Rebin3D. | |
virtual void | Reset (Option_t *option="") |
Reset this histogram: contents, errors, etc. | |
virtual void | SetBinContent (Int_t bin, Double_t content) |
Set bin content. | |
virtual void | SetBinContent (Int_t bin, Int_t, Double_t content) |
virtual void | SetBinContent (Int_t binx, Int_t biny, Int_t binz, Double_t content) |
virtual void | SetShowProjection (const char *option="xy", Int_t nbins=1) |
When the mouse is moved in a pad containing a 3-d view of this histogram a second canvas shows a projection type given as option. | |
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virtual | ~TH1 () |
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. | |
virtual void | AddBinContent (Int_t bin) |
Increment bin content by 1. | |
virtual void | AddBinContent (Int_t bin, Double_t w) |
Increment bin content by a weight w. | |
virtual Double_t | AndersonDarlingTest (const TH1 *h2, Double_t &advalue) const |
Same function as above but returning also the test statistic value. | |
virtual Double_t | AndersonDarlingTest (const TH1 *h2, Option_t *option="") const |
Statistical test of compatibility in shape between this histogram and h2, using the Anderson-Darling 2 sample test. | |
virtual void | Browse (TBrowser *b) |
Browse the Histogram object. | |
virtual Bool_t | CanExtendAllAxes () const |
Returns true if all axes are extendable. | |
virtual Double_t | Chi2Test (const TH1 *h2, Option_t *option="UU", Double_t *res=0) const |
\( \chi^{2} \) test for comparing weighted and unweighted histograms | |
virtual Double_t | Chi2TestX (const TH1 *h2, Double_t &chi2, Int_t &ndf, Int_t &igood, Option_t *option="UU", Double_t *res=0) const |
The computation routine of the Chisquare test. | |
virtual Double_t | Chisquare (TF1 *f1, Option_t *option="") const |
Compute and return the chisquare of this histogram with respect to a function The chisquare is computed by weighting each histogram point by the bin error By default the full range of the histogram is used. | |
virtual void | ClearUnderflowAndOverflow () |
Remove all the content from the underflow and overflow bins, without changing the number of entries After calling this method, every undeflow and overflow bins will have content 0.0 The Sumw2 is also cleared, since there is no more content in the bins. | |
TObject * | Clone (const char *newname=0) const |
Make a complete copy of the underlying object. | |
virtual Double_t | ComputeIntegral (Bool_t onlyPositive=false) |
Compute integral (cumulative sum of bins) The result stored in fIntegral is used by the GetRandom functions. | |
virtual void | DirectoryAutoAdd (TDirectory *) |
Perform the automatic addition of the histogram to the given directory. | |
virtual Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
Compute distance from point px,py to a line. | |
virtual 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. | |
virtual void | Draw (Option_t *option="") |
Draw this histogram with options. | |
virtual TH1 * | DrawCopy (Option_t *option="", const char *name_postfix="_copy") const |
Copy this histogram and Draw in the current pad. | |
virtual TH1 * | DrawNormalized (Option_t *option="", Double_t norm=1) const |
Draw a normalized copy of this histogram. | |
virtual void | DrawPanel () |
Display a panel with all histogram drawing options. | |
virtual void | Eval (TF1 *f1, Option_t *option="") |
Evaluate function f1 at the center of bins of this histogram. | |
virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
Execute action corresponding to one event. | |
virtual void | ExtendAxis (Double_t x, TAxis *axis) |
Histogram is resized along axis such that x is in the axis range. | |
virtual TH1 * | FFT (TH1 *h_output, Option_t *option) |
This function allows to do discrete Fourier transforms of TH1 and TH2. | |
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 Int_t | FindBin (Double_t x, Double_t y=0, Double_t z=0) |
Return Global bin number corresponding to x,y,z. | |
virtual Int_t | FindFirstBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const |
Find first bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1. | |
virtual Int_t | FindFixBin (Double_t x, Double_t y=0, Double_t z=0) const |
Return Global bin number corresponding to x,y,z. | |
virtual Int_t | FindLastBinAbove (Double_t threshold=0, Int_t axis=1, Int_t firstBin=1, Int_t lastBin=-1) const |
Find last bin with content > threshold for axis (1=x, 2=y, 3=z) if no bins with content > threshold is found the function returns -1. | |
virtual TObject * | FindObject (const char *name) const |
Search object named name in the list of functions. | |
virtual TObject * | FindObject (const TObject *obj) const |
Search object obj in the list of functions. | |
virtual TFitResultPtr | Fit (const char *formula, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0) |
Fit histogram with function fname. | |
virtual TFitResultPtr | Fit (TF1 *f1, Option_t *option="", Option_t *goption="", Double_t xmin=0, Double_t xmax=0) |
Fit histogram with function f1. | |
virtual void | FitPanel () |
Display a panel with all histogram fit options. | |
TH1 * | GetAsymmetry (TH1 *h2, Double_t c2=1, Double_t dc2=0) |
Return an histogram containing the asymmetry of this histogram with h2, where the asymmetry is defined as: | |
virtual Color_t | GetAxisColor (Option_t *axis="X") const |
Return the number of divisions for "axis". | |
virtual Float_t | GetBarOffset () const |
virtual Float_t | GetBarWidth () const |
virtual Double_t | GetBinCenter (Int_t bin) const |
Return bin center for 1D histogram. | |
virtual 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 EBinErrorOpt | GetBinErrorOption () const |
virtual Double_t | GetBinLowEdge (Int_t bin) const |
Return bin lower edge for 1D histogram. | |
virtual Double_t | GetBinWidth (Int_t bin) const |
Return bin width for 1D histogram. | |
virtual Double_t | GetBinWithContent (Double_t c, Int_t &binx, Int_t firstx=0, Int_t lastx=0, Double_t maxdiff=0) const |
Compute first binx in the range [firstx,lastx] for which diff = abs(bin_content-c) <= maxdiff. | |
virtual void | GetBinXYZ (Int_t binglobal, Int_t &binx, Int_t &biny, Int_t &binz) const |
Return binx, biny, binz corresponding to the global bin number globalbin see TH1::GetBin function above. | |
const Double_t * | GetBuffer () const |
Int_t | GetBufferLength () const |
Int_t | GetBufferSize () const |
virtual Double_t | GetCellContent (Int_t binx, Int_t biny) const |
virtual Double_t | GetCellError (Int_t binx, Int_t biny) const |
virtual void | GetCenter (Double_t *center) const |
Fill array with center of bins for 1D histogram Better to use h1.GetXaxis()->GetCenter(center) | |
virtual Int_t | GetContour (Double_t *levels=0) |
Return contour values into array levels if pointer levels is non zero. | |
virtual Double_t | GetContourLevel (Int_t level) const |
Return value of contour number level. | |
virtual Double_t | GetContourLevelPad (Int_t level) const |
Return the value of contour number "level" in Pad coordinates. | |
TH1 * | GetCumulative (Bool_t forward=kTRUE, const char *suffix="_cumulative") const |
Return a pointer to an histogram containing the cumulative content. | |
virtual Int_t | GetDimension () const |
TDirectory * | GetDirectory () const |
virtual Double_t | GetEffectiveEntries () const |
Number of effective entries of the histogram. | |
virtual Double_t | GetEntries () const |
Return the current number of entries. | |
virtual TF1 * | GetFunction (const char *name) const |
Return pointer to function with name. | |
virtual Double_t * | GetIntegral () |
Return a pointer to the array of bins integral. | |
virtual Double_t | GetKurtosis (Int_t axis=1) const |
virtual Color_t | GetLabelColor (Option_t *axis="X") const |
Return the "axis" label color. | |
virtual Style_t | GetLabelFont (Option_t *axis="X") const |
Return the "axis" label font. | |
virtual Float_t | GetLabelOffset (Option_t *axis="X") const |
Return the "axis" label offset. | |
virtual Float_t | GetLabelSize (Option_t *axis="X") const |
Return the "axis" label size. | |
TList * | GetListOfFunctions () const |
virtual void | GetLowEdge (Double_t *edge) const |
Fill array with low edge of bins for 1D histogram Better to use h1.GetXaxis()->GetLowEdge(edge) | |
virtual Double_t | GetMaximum (Double_t maxval=FLT_MAX) const |
Return maximum value smaller than maxval of bins in the range, unless the value has been overridden by TH1::SetMaximum, in which case it returns that value. | |
virtual Int_t | GetMaximumBin () const |
Return location of bin with maximum value in the range. | |
virtual Int_t | GetMaximumBin (Int_t &locmax, Int_t &locmay, Int_t &locmaz) const |
Return location of bin with maximum value in the range. | |
virtual Double_t | GetMaximumStored () const |
virtual Double_t | GetMean (Int_t axis=1) const |
For axis = 1,2 or 3 returns the mean value of the histogram along X,Y or Z axis. | |
virtual Double_t | GetMeanError (Int_t axis=1) const |
Return standard error of mean of this histogram along the X axis. | |
virtual Double_t | GetMinimum (Double_t minval=-FLT_MAX) const |
Return minimum value larger than minval of bins in the range, unless the value has been overridden by TH1::SetMinimum, in which case it returns that value. | |
virtual void | GetMinimumAndMaximum (Double_t &min, Double_t &max) const |
Retrieve the minimum and maximum values in the histogram. | |
virtual Int_t | GetMinimumBin () const |
Return location of bin with minimum value in the range. | |
virtual Int_t | GetMinimumBin (Int_t &locmix, Int_t &locmiy, Int_t &locmiz) const |
Return location of bin with minimum value in the range. | |
virtual Double_t | GetMinimumStored () const |
virtual Int_t | GetNbinsX () const |
virtual Int_t | GetNbinsY () const |
virtual Int_t | GetNbinsZ () const |
virtual Int_t | GetNcells () const |
virtual Int_t | GetNdivisions (Option_t *axis="X") const |
Return the number of divisions for "axis". | |
virtual Double_t | GetNormFactor () const |
virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
Redefines TObject::GetObjectInfo. | |
Option_t * | GetOption () const |
TVirtualHistPainter * | GetPainter (Option_t *option="") |
Return pointer to painter. | |
virtual Int_t | GetQuantiles (Int_t nprobSum, Double_t *q, const Double_t *probSum=0) |
Compute Quantiles for this histogram Quantile x_q of a probability distribution Function F is defined as. | |
virtual Double_t | GetRandom (TRandom *rng=nullptr) const |
Return a random number distributed according the histogram bin contents. | |
Double_t | GetRMS (Int_t axis=1) const |
Double_t | GetRMSError (Int_t axis=1) const |
virtual Double_t | GetSkewness (Int_t axis=1) const |
EStatOverflows | GetStatOverflows () const |
virtual Double_t | GetStdDev (Int_t axis=1) const |
Returns the Standard Deviation (Sigma). | |
virtual Double_t | GetStdDevError (Int_t axis=1) const |
Return error of standard deviation estimation for Normal distribution. | |
virtual Double_t | GetSumOfWeights () const |
Return the sum of weights excluding under/overflows. | |
virtual TArrayD * | GetSumw2 () |
virtual const TArrayD * | GetSumw2 () const |
virtual Int_t | GetSumw2N () const |
virtual Float_t | GetTickLength (Option_t *axis="X") const |
Return the "axis" tick length. | |
virtual Style_t | GetTitleFont (Option_t *axis="X") const |
Return the "axis" title font. | |
virtual Float_t | GetTitleOffset (Option_t *axis="X") const |
Return the "axis" title offset. | |
virtual Float_t | GetTitleSize (Option_t *axis="X") const |
Return the "axis" title size. | |
TAxis * | GetXaxis () |
Get the behaviour adopted by the object about the statoverflows. See EStatOverflows for more information. | |
const TAxis * | GetXaxis () const |
TAxis * | GetYaxis () |
const TAxis * | GetYaxis () const |
TAxis * | GetZaxis () |
const TAxis * | GetZaxis () const |
Bool_t | IsBinOverflow (Int_t bin, Int_t axis=0) const |
Return true if the bin is overflow. | |
Bool_t | IsBinUnderflow (Int_t bin, Int_t axis=0) const |
Return true if the bin is underflow. | |
virtual Bool_t | IsHighlight () const |
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: | |
virtual void | Paint (Option_t *option="") |
Control routine to paint any kind of histograms. | |
virtual void | Print (Option_t *option="") const |
Print some global quantities for this histogram. | |
virtual TH1 * | Rebin (Int_t ngroup=2, const char *newname="", const Double_t *xbins=0) |
Rebin this histogram. | |
virtual void | RebinAxis (Double_t x, TAxis *axis) |
virtual void | Rebuild (Option_t *option="") |
Using the current bin info, recompute the arrays for contents and errors. | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove object from the list of functions. | |
virtual void | ResetStats () |
Reset the statistics including the number of entries and replace with values calculated from bin content. | |
virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
Save primitive as a C++ statement(s) on output stream out. | |
virtual void | Scale (Double_t c1=1, Option_t *option="") |
Multiply this 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 | 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. | |
virtual UInt_t | SetCanExtend (UInt_t extendBitMask) |
Make the histogram axes extendable / not extendable according to the bit mask returns the previous bit mask specifying which axes are extendable. | |
virtual void | SetCellContent (Int_t binx, Int_t biny, Double_t content) |
virtual void | SetCellError (Int_t binx, Int_t biny, Double_t content) |
virtual void | SetContent (const Double_t *content) |
Replace bin contents by the contents of array content. | |
virtual void | SetContour (Int_t nlevels, const Double_t *levels=0) |
Set the number and values of contour levels. | |
virtual void | SetContourLevel (Int_t level, Double_t value) |
Set value for one contour level. | |
virtual void | SetDirectory (TDirectory *dir) |
By default when an histogram is created, it is added to the list of histogram objects in the current directory in memory. | |
virtual void | SetEntries (Double_t n) |
virtual void | SetError (const Double_t *error) |
Replace bin errors by values in array error. | |
virtual void | SetHighlight (Bool_t set=kTRUE) |
Set highlight (enable/disable) mode for the histogram by default highlight mode is disable. | |
virtual void | SetLabelColor (Color_t color=1, Option_t *axis="X") |
Set axis labels color. | |
virtual void | SetLabelFont (Style_t font=62, Option_t *axis="X") |
Set font number used to draw axis labels. | |
virtual void | SetLabelOffset (Float_t offset=0.005, Option_t *axis="X") |
Set offset between axis and axis' labels. | |
virtual void | SetLabelSize (Float_t size=0.02, Option_t *axis="X") |
Set size of axis' labels. | |
virtual void | SetMaximum (Double_t maximum=-1111) |
virtual void | SetMinimum (Double_t minimum=-1111) |
virtual void | SetName (const char *name) |
Change the name of this histogram. | |
virtual void | SetNameTitle (const char *name, const char *title) |
Change the name and title of this histogram. | |
virtual void | SetNdivisions (Int_t n=510, Option_t *axis="X") |
Set the number of divisions to draw an axis. | |
virtual void | SetNormFactor (Double_t factor=1) |
virtual void | SetOption (Option_t *option=" ") |
void | SetStatOverflows (EStatOverflows statOverflows) |
virtual void | SetStats (Bool_t stats=kTRUE) |
Set statistics option on/off. | |
virtual void | SetTickLength (Float_t length=0.02, Option_t *axis="X") |
Set the axis' tick marks length. | |
virtual void | SetTitle (const char *title) |
See GetStatOverflows for more information. | |
virtual void | SetTitleFont (Style_t font=62, Option_t *axis="X") |
Set the axis' title font. | |
virtual void | SetTitleOffset (Float_t offset=1, Option_t *axis="X") |
Specify a parameter offset to control the distance between the axis and the axis' title. | |
virtual void | SetTitleSize (Float_t size=0.02, Option_t *axis="X") |
Set the axis' title size. | |
virtual void | SetXTitle (const char *title) |
virtual void | SetYTitle (const char *title) |
virtual void | SetZTitle (const char *title) |
virtual TH1 * | ShowBackground (Int_t niter=20, Option_t *option="same") |
This function calculates the background spectrum in this histogram. | |
virtual Int_t | ShowPeaks (Double_t sigma=2, Option_t *option="", Double_t threshold=0.05) |
Interface to TSpectrum::Search. | |
virtual void | Smooth (Int_t ntimes=1, Option_t *option="") |
Smooth bin contents of this histogram. | |
virtual void | Sumw2 (Bool_t flag=kTRUE) |
Create structure to store sum of squares of weights. | |
void | UseCurrentStyle () |
Copy current attributes from/to current style. | |
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TNamed () | |
TNamed (const char *name, const char *title) | |
TNamed (const TNamed &named) | |
TNamed copy ctor. | |
TNamed (const TString &name, const TString &title) | |
virtual | ~TNamed () |
TNamed destructor. | |
virtual void | Clear (Option_t *option="") |
Set name and title to empty strings (""). | |
virtual Int_t | Compare (const TObject *obj) const |
Compare two TNamed objects. | |
virtual void | FillBuffer (char *&buffer) |
Encode TNamed into output buffer. | |
virtual const char * | GetName () const |
Returns name of object. | |
virtual const char * | GetTitle () const |
Returns title of object. | |
virtual ULong_t | Hash () const |
Return hash value for this object. | |
virtual Bool_t | IsSortable () const |
virtual void | ls (Option_t *option="") const |
List TNamed name and title. | |
TNamed & | operator= (const TNamed &rhs) |
TNamed assignment operator. | |
virtual Int_t | Sizeof () const |
Return size of the TNamed part of the TObject. | |
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TObject () | |
TObject constructor. | |
TObject (const TObject &object) | |
TObject copy ctor. | |
virtual | ~TObject () |
TObject destructor. | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. | |
virtual void | AppendPad (Option_t *option="") |
Append graphics object to current pad. | |
ULong_t | CheckedHash () |
Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. | |
virtual void | Delete (Option_t *option="") |
Delete this object. | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad for instance with: gROOT->SetSelectedPad(gPad) . | |
virtual void | Dump () const |
Dump contents of object on stdout. | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. | |
virtual void | Execute (const char *method, const char *params, Int_t *error=0) |
Execute method on this object with the given parameter string, e.g. | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=0) |
Execute method on this object with parameters stored in the TObjArray. | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. | |
virtual const char * | GetIconName () const |
Returns mime type name of object. | |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. | |
Bool_t | HasInconsistentHash () const |
Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. | |
void | InvertBit (UInt_t f) |
virtual Bool_t | IsEqual (const TObject *obj) const |
Default equal comparison (objects are equal if they have the same address in memory). | |
virtual Bool_t | IsFolder () const |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). | |
R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
R__ALWAYS_INLINE Bool_t | IsZombie () const |
void | MayNotUse (const char *method) const |
Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). | |
virtual Bool_t | Notify () |
This method must be overridden to handle object notification. | |
void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
Use this method to declare a method obsolete. | |
void | operator delete (void *ptr) |
Operator delete. | |
void | operator delete[] (void *ptr) |
Operator delete []. | |
void * | operator new (size_t sz) |
void * | operator new (size_t sz, void *vp) |
void * | operator new[] (size_t sz) |
void * | operator new[] (size_t sz, void *vp) |
TObject & | operator= (const TObject &rhs) |
TObject assignment operator. | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. | |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. | |
R__ALWAYS_INLINE Bool_t | TestBit (UInt_t f) const |
Int_t | TestBits (UInt_t f) const |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. | |
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TAttLine () | |
AttLine default constructor. | |
TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth) | |
AttLine normal constructor. | |
virtual | ~TAttLine () |
AttLine destructor. | |
void | Copy (TAttLine &attline) const |
Copy this line attributes to a new TAttLine. | |
Int_t | DistancetoLine (Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2) |
Compute distance from point px,py to a line. | |
virtual Color_t | GetLineColor () const |
Return the line color. | |
virtual Style_t | GetLineStyle () const |
Return the line style. | |
virtual Width_t | GetLineWidth () const |
Return the line width. | |
virtual void | Modify () |
Change current line attributes if necessary. | |
virtual void | ResetAttLine (Option_t *option="") |
Reset this line attributes to default values. | |
virtual void | SaveLineAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t widdef=1) |
Save line attributes as C++ statement(s) on output stream out. | |
virtual void | SetLineAttributes () |
Invoke the DialogCanvas Line attributes. | |
virtual void | SetLineColor (Color_t lcolor) |
Set the line color. | |
virtual void | SetLineColorAlpha (Color_t lcolor, Float_t lalpha) |
Set a transparent line color. | |
virtual void | SetLineStyle (Style_t lstyle) |
Set the line style. | |
virtual void | SetLineWidth (Width_t lwidth) |
Set the line width. | |
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TAttFill () | |
AttFill default constructor. | |
TAttFill (Color_t fcolor, Style_t fstyle) | |
AttFill normal constructor. | |
virtual | ~TAttFill () |
AttFill destructor. | |
void | Copy (TAttFill &attfill) const |
Copy this fill attributes to a new TAttFill. | |
virtual Color_t | GetFillColor () const |
Return the fill area color. | |
virtual Style_t | GetFillStyle () const |
Return the fill area style. | |
virtual Bool_t | IsTransparent () const |
virtual void | Modify () |
Change current fill area attributes if necessary. | |
virtual void | ResetAttFill (Option_t *option="") |
Reset this fill attributes to default values. | |
virtual void | SaveFillAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1001) |
Save fill attributes as C++ statement(s) on output stream out. | |
virtual void | SetFillAttributes () |
Invoke the DialogCanvas Fill attributes. | |
virtual void | SetFillColor (Color_t fcolor) |
Set the fill area color. | |
virtual void | SetFillColorAlpha (Color_t fcolor, Float_t falpha) |
Set a transparent fill color. | |
virtual void | SetFillStyle (Style_t fstyle) |
Set the fill area style. | |
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TAttMarker () | |
TAttMarker default constructor. | |
TAttMarker (Color_t color, Style_t style, Size_t msize) | |
TAttMarker normal constructor. | |
virtual | ~TAttMarker () |
TAttMarker destructor. | |
void | Copy (TAttMarker &attmarker) const |
Copy this marker attributes to a new TAttMarker. | |
virtual Color_t | GetMarkerColor () const |
Return the marker color. | |
virtual Size_t | GetMarkerSize () const |
Return the marker size. | |
virtual Style_t | GetMarkerStyle () const |
Return the marker style. | |
virtual void | Modify () |
Change current marker attributes if necessary. | |
virtual void | ResetAttMarker (Option_t *toption="") |
Reset this marker attributes to the default values. | |
virtual void | SaveMarkerAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t sizdef=1) |
Save line attributes as C++ statement(s) on output stream out. | |
virtual void | SetMarkerAttributes () |
Invoke the DialogCanvas Marker attributes. | |
virtual void | SetMarkerColor (Color_t mcolor=1) |
Set the marker color. | |
virtual void | SetMarkerColorAlpha (Color_t mcolor, Float_t malpha) |
Set a transparent marker color. | |
virtual void | SetMarkerSize (Size_t msize=1) |
Set the marker size. | |
virtual void | SetMarkerStyle (Style_t mstyle=1) |
Set the marker style. | |
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TAtt3D () | |
virtual | ~TAtt3D () |
virtual void | Sizeof3D () const |
Set total size of this 3D object (used by X3D interface). | |
Protected Member Functions | |
TH3 () | |
Default constructor. | |
TH3 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins, Int_t nbinsy, const Double_t *ybins, Int_t nbinsz, const Double_t *zbins) | |
Normal constructor for variable bin size 3-D histograms. | |
TH3 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins, Int_t nbinsy, const Float_t *ybins, Int_t nbinsz, const Float_t *zbins) | |
Normal constructor for variable bin size 3-D histograms. | |
TH3 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup, Int_t nbinsy, Double_t ylow, Double_t yup, Int_t nbinsz, Double_t zlow, Double_t zup) | |
Normal constructor for fix bin size 3-D histograms. | |
virtual Int_t | BufferFill (Double_t x, Double_t y, Double_t z, Double_t w) |
accumulate arguments in buffer. | |
virtual Int_t | BufferFill (Double_t, Double_t) |
accumulate arguments in buffer. | |
virtual Int_t | BufferFill (Double_t, Double_t, Double_t) |
void | DoFillProfileProjection (TProfile2D *p2, const TAxis &a1, const TAxis &a2, const TAxis &a3, Int_t bin1, Int_t bin2, Int_t bin3, Int_t inBin, Bool_t useWeights) const |
internal function to fill the bins of the projected profile 2D histogram called from DoProjectProfile2D | |
virtual TH1D * | DoProject1D (const char *name, const char *title, const TAxis *projAxis, const TAxis *axis1, const TAxis *axis2, bool computeErrors, bool originalRange, bool useUF, bool useOF) const |
internal methdod performing the projection to 1D histogram called from other TH3::DoProject1D | |
virtual TH1D * | DoProject1D (const char *name, const char *title, int imin1, int imax1, int imin2, int imax2, const TAxis *projAxis, const TAxis *axis1, const TAxis *axis2, Option_t *option) const |
internal method performing the projection to 1D histogram called from TH3::Project3D | |
virtual TH2D * | DoProject2D (const char *name, const char *title, const TAxis *projX, const TAxis *projY, bool computeErrors, bool originalRange, bool useUF, bool useOF) const |
internal method performing the projection to a 2D histogram called from TH3::Project3D | |
virtual TProfile2D * | DoProjectProfile2D (const char *name, const char *title, const TAxis *projX, const TAxis *projY, bool originalRange, bool useUF, bool useOF) const |
internal method to project to a 2D Profile called from TH3::Project3DProfile | |
Int_t | Fill (const char *, const char *, Double_t) |
Int_t | Fill (const char *, Double_t) |
Increment bin with namex with a weight w. | |
Int_t | Fill (const char *, Double_t, Double_t) |
Int_t | Fill (Double_t) |
Invalid Fill method. | |
Int_t | Fill (Double_t, const char *, Double_t) |
Int_t | Fill (Double_t, Double_t) |
Increment bin with abscissa X with a weight w. | |
virtual Double_t | Interpolate (Double_t x) const |
Not yet implemented. | |
virtual Double_t | Interpolate (Double_t x, Double_t y) const |
Not yet implemented. | |
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TH1 () | |
Histogram default constructor. | |
TH1 (const char *name, const char *title, Int_t nbinsx, const Double_t *xbins) | |
Normal constructor for variable bin size histograms. | |
TH1 (const char *name, const char *title, Int_t nbinsx, const Float_t *xbins) | |
Normal constructor for variable bin size histograms. | |
TH1 (const char *name, const char *title, Int_t nbinsx, Double_t xlow, Double_t xup) | |
Normal constructor for fix bin size histograms. | |
virtual Int_t | AutoP2FindLimits (Double_t min, Double_t max) |
Buffer-based estimate of the histogram range using the power of 2 algorithm. | |
Int_t | AxisChoice (Option_t *axis) const |
Choose an axis according to "axis". | |
virtual void | DoFillN (Int_t ntimes, const Double_t *x, const Double_t *w, Int_t stride=1) |
Internal method to fill histogram content from a vector called directly by TH1::BufferEmpty. | |
virtual Double_t | DoIntegral (Int_t ix1, Int_t ix2, Int_t iy1, Int_t iy2, Int_t iz1, Int_t iz2, Double_t &err, Option_t *opt, Bool_t doerr=kFALSE) const |
Internal function compute integral and optionally the error between the limits specified by the bin number values working for all histograms (1D, 2D and 3D) | |
virtual Bool_t | FindNewAxisLimits (const TAxis *axis, const Double_t point, Double_t &newMin, Double_t &newMax) |
finds new limits for the axis so that point is within the range and the limits are compatible with the previous ones (see TH1::Merge). | |
UInt_t | GetAxisLabelStatus () const |
Internal function used in TH1::Fill to see which axis is full alphanumeric i.e. | |
virtual Double_t | GetBinErrorSqUnchecked (Int_t bin) const |
Bool_t | GetStatOverflowsBehaviour () const |
Bool_t | IsEmpty () const |
Check if an histogram is empty (this 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. | |
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virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). | |
void | MakeZombie () |
Static Protected Member Functions | |
static TH1D * | DoProject1D (const TH3 &h, const char *name, const char *title, const TAxis *projX, bool computeErrors, bool originalRange, bool useUF, bool useOF) |
static TH2D * | DoProject2D (const TH3 &h, const char *name, const char *title, const TAxis *projX, const TAxis *projY, bool computeErrors, bool originalRange, bool useUF, bool useOF) |
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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. | |
Protected Attributes | |
Double_t | fTsumwxy |
Double_t | fTsumwxz |
Double_t | fTsumwy |
Double_t | fTsumwy2 |
Double_t | fTsumwyz |
Double_t | fTsumwz |
Double_t | fTsumwz2 |
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Short_t | fBarOffset |
(1000*offset) for bar charts or legos | |
Short_t | fBarWidth |
(1000*width) for bar charts or legos | |
EBinErrorOpt | fBinStatErrOpt |
option for bin statistical errors | |
Double_t * | fBuffer |
[fBufferSize] entry buffer | |
Int_t | fBufferSize |
fBuffer size | |
TArrayD | fContour |
Array to display contour levels. | |
Int_t | fDimension |
!Histogram dimension (1, 2 or 3 dim) | |
TDirectory * | fDirectory |
!Pointer to directory holding this histogram | |
Double_t | fEntries |
Number of entries. | |
TList * | fFunctions |
->Pointer to list of functions (fits and user) | |
Double_t * | fIntegral |
!Integral of bins used by GetRandom | |
Double_t | fMaximum |
Maximum value for plotting. | |
Double_t | fMinimum |
Minimum value for plotting. | |
Int_t | fNcells |
number of bins(1D), cells (2D) +U/Overflows | |
Double_t | fNormFactor |
Normalization factor. | |
TString | fOption |
histogram options | |
TVirtualHistPainter * | fPainter |
!pointer to histogram painter | |
EStatOverflows | fStatOverflows |
per object flag to use under/overflows in statistics | |
TArrayD | fSumw2 |
Array of sum of squares of weights. | |
Double_t | fTsumw |
Total Sum of weights. | |
Double_t | fTsumw2 |
Total Sum of squares of weights. | |
Double_t | fTsumwx |
Total Sum of weight*X. | |
Double_t | fTsumwx2 |
Total Sum of weight*X*X. | |
TAxis | fXaxis |
X axis descriptor. | |
TAxis | fYaxis |
Y axis descriptor. | |
TAxis | fZaxis |
Z axis descriptor. | |
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TString | fName |
TString | fTitle |
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Color_t | fLineColor |
Line color. | |
Style_t | fLineStyle |
Line style. | |
Width_t | fLineWidth |
Line width. | |
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Color_t | fFillColor |
Fill area color. | |
Style_t | fFillStyle |
Fill area style. | |
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Color_t | fMarkerColor |
Marker color. | |
Size_t | fMarkerSize |
Marker size. | |
Style_t | fMarkerStyle |
Marker style. | |
Private Member Functions | |
TH3 (const TH3 &) | |
Copy constructor. | |
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. | |
TH3 & | operator= (const TH3 &) |
Additional Inherited Members | |
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enum | { kNoAxis = 0 , kXaxis = BIT(0) , kYaxis = BIT(1) , kZaxis = BIT(2) , kAllAxes = kXaxis | kYaxis | kZaxis } |
enum | { kNstat = 13 } |
enum | EBinErrorOpt { kNormal = 0 , kPoisson = 1 , kPoisson2 = 2 } |
enum | EStatOverflows { kIgnore = 0 , kConsider = 1 , kNeutral = 2 } |
Enumeration specifying the way to treat statoverflow. More... | |
enum | EStatusBits { kNoStats = BIT(9) , kUserContour = BIT(10) , kLogX = BIT(15) , kIsZoomed = BIT(16) , kNoTitle = BIT(17) , kIsAverage = BIT(18) , kIsNotW = BIT(19) , kAutoBinPTwo = BIT(20) , kIsHighlight = BIT(21) } |
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enum | { kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff } |
enum | { kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) } |
enum | EDeprecatedStatusBits { kObjInCanvas = BIT(3) } |
enum | EStatusBits { kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) , kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) } |
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static void | AddDirectory (Bool_t add=kTRUE) |
Sets the flag controlling the automatic add of histograms in memory. | |
static Bool_t | AddDirectoryStatus () |
Static function: cannot be inlined on Windows/NT. | |
static Int_t | FitOptionsMake (Option_t *option, Foption_t &Foption) |
Decode string choptin and fill fitOption structure. | |
static Int_t | GetDefaultBufferSize () |
Static function return the default buffer size for automatic histograms the parameter fgBufferSize may be changed via SetDefaultBufferSize. | |
static Bool_t | GetDefaultSumw2 () |
Return kTRUE if TH1::Sumw2 must be called when creating new histograms. | |
static void | SetDefaultBufferSize (Int_t buffersize=1000) |
Static function to set the default buffer size for automatic histograms. | |
static void | SetDefaultSumw2 (Bool_t sumw2=kTRUE) |
When this static function is called with sumw2=kTRUE , all new histograms will automatically activate the storage of the sum of squares of errors, ie TH1::Sumw2 is automatically called. | |
static void | SmoothArray (Int_t NN, Double_t *XX, Int_t ntimes=1) |
Smooth array xx, translation of Hbook routine hsmoof.F based on algorithm 353QH twice presented by J. | |
static void | StatOverflows (Bool_t flag=kTRUE) |
if flag=kTRUE, underflows and overflows are used by the Fill functions in the computation of statistics (mean value, StdDev). | |
static TH1 * | TransformHisto (TVirtualFFT *fft, TH1 *h_output, Option_t *option) |
For a given transform (first parameter), fills the histogram (second parameter) with the transform output data, specified in the third parameter If the 2nd parameter h_output is empty, a new histogram (TH1D or TH2D) is created and the user is responsible for deleting it. | |
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static Long_t | GetDtorOnly () |
Return destructor only flag. | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. | |
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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. | |
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enum | { kOnlyPrepStep = BIT(3) } |
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static Bool_t | fgAddDirectory = kTRUE |
!flag to add histograms to the directory | |
static Int_t | fgBufferSize = 1000 |
!default buffer size for automatic histograms | |
static Bool_t | fgDefaultSumw2 = kFALSE |
!flag to call TH1::Sumw2 automatically at histogram creation time | |
static Bool_t | fgStatOverflows = kFALSE |
!flag to use under/overflows in statistics | |
#include <TH3.h>
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private |
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.
Reimplemented in TProfile3D.
accumulate arguments in buffer.
When buffer is full, empty the buffer fBuffer[0] = number of entries in buffer fBuffer[1] = w of first entry fBuffer[2] = x of first entry fBuffer[3] = y of first entry fBuffer[4] = z of first entry
Reimplemented in TProfile3D.
accumulate arguments in buffer.
When buffer is full, empty the buffer
fBuffer[0]
= number of entries in bufferfBuffer[1]
= w of first entryfBuffer[2]
= x of first entry Reimplemented from TH1.
Reimplemented in TProfile3D.
Reimplemented in TProfile3D.
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protectedvirtual |
internal methdod performing the projection to 1D histogram called from other TH3::DoProject1D
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protectedvirtual |
internal method performing the projection to 1D histogram called from TH3::Project3D
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protectedvirtual |
internal method performing the projection to a 2D histogram called from TH3::Project3D
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protectedvirtual |
internal method to project to a 2D Profile called from TH3::Project3DProfile
Reimplemented in TProfile3D.
Increment bin with namex with a weight w.
if x is less than the low-edge of the first bin, the Underflow bin is incremented if x is equal to or greater than the upper edge of last bin, the Overflow bin is incremented
If the weight is not equal to 1, the storage of the sum of squares of weights is automatically triggered and the sum of the squares of weights is incremented by \( w^2 \) in the bin corresponding to x.
The function returns the corresponding bin number which has its content incremented by w.
Reimplemented from TH1.
Reimplemented in TProfile3D.
Increment cell defined by namex,namey,namez by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by namex,namey,z by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by namex,y,namez by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by namex , y ,z by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D.
Increment cell defined by x,namey,namez by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by x,namey,z by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by x,y,namez by a weight 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 corresponding cell. The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by x,y,z by 1 .
The function returns the corresponding global bin number which has its content incremented by 1
Reimplemented in TProfile3D, and TProfile3D.
Increment cell defined by x,y,z by a weight 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 cell corresponding to x,y,z.
The function returns the corresponding global bin number which has its content incremented by w
Reimplemented in TProfile3D, and TProfile3D.
Increment bin with abscissa X with a weight w.
if x is less than the low-edge of the first bin, the Underflow bin is incremented if x is equal to or greater than the upper edge of last bin, the Overflow bin is incremented
If the weight is not equal to 1, the storage of the sum of squares of weights is automatically triggered and the sum of the squares of weights is incremented by \( w^2 \) in the bin corresponding to x.
The function returns the corresponding bin number which has its content incremented by w
Reimplemented from TH1.
Reimplemented in TProfile3D.
Fill histogram following distribution in function fname.
fname | : Function name used for filling the historam |
ntimes | : number of times the histogram is filled |
rng | : (optional) Random number generator used to sample |
The distribution contained in the function fname (TF1) is integrated over the channel contents. It is normalized to 1. Getting one random number implies:
N.B. By dfault this methods approximates the integral of the function in each bin with the function value at the center of the bin, mutiplied by the bin width
One can also call TF1::GetRandom to get a random variate from a function.
Reimplemented from TH1.
Fill histogram following distribution in histogram h.
h | : Histogram pointer used for smpling random number |
ntimes | : number of times the histogram is filled |
rng | : (optional) Random number generator used for sampling |
The distribution contained in the histogram h (TH3) is integrated over the channel contents. It is normalized to 1. Getting one random number implies:
Reimplemented from TH1.
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Project slices along Z in case of a 3-D histogram, then fit each slice with function f1 and make a 2-d histogram for each fit parameter Only cells in the bin range [binminx,binmaxx] and [binminy,binmaxy] are considered.
if f1=0, a gaussian is assumed Before invoking this function, one can set a subrange to be fitted along Z via f1->SetRange(zmin,zmax) The argument option (default="QNR") can be used to change the fit options. "Q" means Quiet mode "N" means do not show the result of the fit "R" means fit the function in the specified function range
Note that the generated histograms are added to the list of objects in the current directory. It is the user's responsibility to delete these histograms.
Example: Assume a 3-d histogram h3 Root > h3->FitSlicesZ(); produces 4 TH2D histograms with h3_0 containing parameter 0(Constant) for a Gaus fit of each cell in X,Y projected along Z with h3_1 containing parameter 1(Mean) for a gaus fit with h3_2 containing parameter 2(StdDev) for a gaus fit with h3_chi2 containing the chisquare/number of degrees of freedom for a gaus fit
Root > h3->Fit(0,15,22,0,0,10); same as above, but only for bins 15 to 22 along X and only for cells in X,Y for which the corresponding projection along Z has more than cut bins filled.
NOTE: To access the generated histograms in the current directory, do eg: TH2D h3_1 = (TH2D)gDirectory->Get("h3_1");
Return content of bin number bin.
Implemented in TH1C,S,F,D
Convention for numbering bins
For all histogram types: nbins, xlow, xup
In case of 2-D or 3-D histograms, a "global bin" number is defined. For example, assuming a 3-D histogram with binx,biny,binz, the function
returns a global/linearized bin number. This global bin is useful to access the bin information independently of the dimension.
Reimplemented from TH1.
Reimplemented in TProfile3D.
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Compute first cell (binx,biny,binz) in the range [firstx,lastx](firsty,lasty][firstz,lastz] for which diff = abs(cell_content-c) <= maxdiff In case several cells in the specified range with diff=0 are found the first cell found is returned in binx,biny,binz.
In case several cells in the specified range satisfy diff <=maxdiff the cell with the smallest difference is returned in binx,biny,binz. In all cases the function returns the smallest difference.
NOTE1: if firstx <= 0, firstx is set to bin 1 if (lastx < firstx then firstx is set to the number of bins in X ie if firstx=0 and lastx=0 (default) the search is on all bins in X. if firsty <= 0, firsty is set to bin 1 if (lasty < firsty then firsty is set to the number of bins in Y ie if firsty=0 and lasty=0 (default) the search is on all bins in Y. if firstz <= 0, firstz is set to bin 1 if (lastz < firstz then firstz is set to the number of bins in Z ie if firstz=0 and lastz=0 (default) the search is on all bins in Z. NOTE2: if maxdiff=0 (default), the first cell with content=c is returned.
Return 3 random numbers along axis x , y and z distributed according to the cell-contents of this 3-dim histogram.
[out] | x | reference to random generated x value |
[out] | y | reference to random generated y value |
[out] | z | reference to random generated z value |
[in] | rng | (optional) Random number generator pointer used (default is gRandom) |
Fill the array stats from the contents of this histogram The array stats must be correctly dimensioned in the calling program.
stats[0] = sumw stats[1] = sumw2 stats[2] = sumwx stats[3] = sumwx2 stats[4] = sumwy stats[5] = sumwy2 stats[6] = sumwxy stats[7] = sumwz stats[8] = sumwz2 stats[9] = sumwxz stats[10]= sumwyz
Reimplemented from TH1.
Reimplemented in TProfile3D.
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Return integral of bin contents in range [binx1,binx2],[biny1,biny2],[binz1,binz2] for a 3-D histogram By default the integral is computed as the sum of bin contents in the range.
if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x, y and in z.
Return integral of bin contents in range [binx1,binx2].
By default the integral is computed as the sum of bin contents in the range. if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x.
Reimplemented from TH1.
Return integral of bin contents.
Only bins in the bins range are considered.
By default the integral is computed as the sum of bin contents in the range. if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x.
Reimplemented from TH1.
Return integral of bin contents.
Only bins in the bins range are considered. By default the integral is computed as the sum of bin contents in the range. if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x, y and in z.
Reimplemented from TH1.
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privatevirtual |
Return integral of bin contents in range [binx1,binx2] and its error.
By default the integral is computed as the sum of bin contents in the range. if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x. the error is computed using error propagation from the bin errors assuming that all the bins are uncorrelated
Reimplemented from TH1.
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virtual |
Return integral of bin contents in range [binx1,binx2],[biny1,biny2],[binz1,binz2] for a 3-D histogram.
Calculates also the integral error using error propagation from the bin errors assuming that all the bins are uncorrelated. By default the integral is computed as the sum of bin contents in the range. if option "width" is specified, the integral is the sum of the bin contents multiplied by the bin width in x, y and in z.
Given a point P(x,y,z), Interpolate approximates the value via trilinear interpolation based on the 8 nearest bin center points (corner of the cube surrounding the points) The Algorithm is described in http://en.wikipedia.org/wiki/Trilinear_interpolation The given values (x,y,z) must be between first bin center and last bin center for each coordinate:
fXAxis.GetBinCenter(1) < x < fXaxis.GetBinCenter(nbinX) AND fYAxis.GetBinCenter(1) < y < fYaxis.GetBinCenter(nbinY) AND fZAxis.GetBinCenter(1) < z < fZaxis.GetBinCenter(nbinZ)
Reimplemented from TH1.
Statistical test of compatibility in shape between THIS histogram and h2, using Kolmogorov test.
Default: Ignore under- and overflow bins in comparison
option is a character string to specify options "U" include Underflows in test "O" include Overflows "N" include comparison of normalizations "D" Put out a line of "Debug" printout "M" Return the Maximum Kolmogorov distance instead of prob
The returned function value is the probability of test (much less than one means NOT compatible)
The KS test uses the distance between the pseudo-CDF's obtained from the histogram. Since in more than 1D the order for generating the pseudo-CDF is arbitrary, we use the pseudo-CDF's obtained from all the possible 6 combinations of the 3 axis. The average of all the maximum distances obtained is used in the tests.
Reimplemented from TH1.
Project a 3-d histogram into 1 or 2-d histograms depending on the option parameter, which may contain a combination of the characters x,y,z,e.
NB: the notation "a vs b" means "a" vertical and "b" horizontal
option = "o" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.
If option contains the string "e", errors are computed
The projection is made for the selected bins only. To select a bin range along an axis, use TAxis::SetRange, eg h3.GetYaxis()->SetRange(23,56);
NOTE 1: The generated histogram is named th3name + option eg if the TH3* h histogram is named "myhist", then h->Project3D("xy"); produces a TH2D histogram named "myhist_xy" if a histogram of the same type already exists, it is overwritten. The following sequence h->Project3D("xy"); h->Project3D("xy2"); will generate two TH2D histograms named "myhist_xy" and "myhist_xy2" A different name can be generated by attaching a string to the option For example h->Project3D("name_xy") will generate an histogram with the name: h3dname_name_xy.
NOTE 2: If an histogram of the same type already exists, the histogram is reset and filled again with the projected contents of the TH3.
NOTE 3: The number of entries in the projected histogram is estimated from the number of effective entries for all the cells included in the projection.
NOTE 4: underflow/overflow are included by default in the projection To exclude underflow and/or overflow (for both axis in case of a projection to a 1D histogram) use option "NUF" and/or "NOF" With SetRange() you can have all bins except underflow/overflow only if you set the axis bit range as following after having called SetRange: axis->SetRange(1, axis->GetNbins());
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Project a 3-d histogram into a 2-d profile histograms depending on the option parameter option may contain a combination of the characters x,y,z option = "xy" return the x versus y projection into a TProfile2D histogram option = "yx" return the y versus x projection into a TProfile2D histogram option = "xz" return the x versus z projection into a TProfile2D histogram option = "zx" return the z versus x projection into a TProfile2D histogram option = "yz" return the y versus z projection into a TProfile2D histogram option = "zy" return the z versus y projection into a TProfile2D histogram NB: the notation "a vs b" means "a" vertical and "b" horizontal.
option = "o" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.
The projection is made for the selected bins only. To select a bin range along an axis, use TAxis::SetRange, eg h3.GetYaxis()->SetRange(23,56);
NOTE 1: The generated histogram is named th3name + "_p" + option eg if the TH3* h histogram is named "myhist", then h->Project3D("xy"); produces a TProfile2D histogram named "myhist_pxy". The following sequence h->Project3DProfile("xy"); h->Project3DProfile("xy2"); will generate two TProfile2D histograms named "myhist_pxy" and "myhist_pxy2" So, passing additional characters in the option string one can customize the name.
NOTE 2: If a profile of the same type already exists with compatible axes, the profile is reset and filled again with the projected contents of the TH3. In the case of axes incompatibility, an error is reported and a NULL pointer is returned.
NOTE 3: The number of entries in the projected profile is estimated from the number of effective entries for all the cells included in the projection.
NOTE 4: underflow/overflow are by default excluded from the projection (Note that this is a different default behavior compared to the projection to an histogram) To include the underflow and/or overflow use option "UF" and/or "OF"
Reimplemented in TProfile3D.
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virtual |
Project a 3-D histogram into a 1-D histogram along X.
The projection is always of the type TH1D. The projection is made from the cells along the X axis ranging from iymin to iymax and izmin to izmax included. By default, underflow and overflows are included in both the Y and Z axis. By Setting iymin=1 and iymax=NbinsY the underflow and/or overflow in Y will be excluded By setting izmin=1 and izmax=NbinsZ the underflow and/or overflow in Z will be excluded
if option "e" is specified, the errors are computed. if option "d" is specified, the projection is drawn in the current pad. if option "o" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.
NOTE that if a TH1D named "name" exists in the current directory or pad the histogram is reset and filled again with the projected contents of the TH3.
implemented using Project3D
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Project a 3-D histogram into a 1-D histogram along Y.
The projection is always of the type TH1D. The projection is made from the cells along the Y axis ranging from ixmin to ixmax and izmin to izmax included. By default, underflow and overflow are included in both the X and Z axis. By setting ixmin=1 and ixmax=NbinsX the underflow and/or overflow in X will be excluded By setting izmin=1 and izmax=NbinsZ the underflow and/or overflow in Z will be excluded
if option "e" is specified, the errors are computed. if option "d" is specified, the projection is drawn in the current pad. if option "o" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.
NOTE that if a TH1D named "name" exists in the current directory or pad, the histogram is reset and filled again with the projected contents of the TH3.
implemented using Project3D
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virtual |
Project a 3-D histogram into a 1-D histogram along Z.
The projection is always of the type TH1D. The projection is made from the cells along the Z axis ranging from ixmin to ixmax and iymin to iymax included. By default, bins 1 to nx and 1 to ny are included By default, underflow and overflow are included in both the X and Y axis. By Setting ixmin=1 and ixmax=NbinsX the underflow and/or overflow in X will be excluded By setting iymin=1 and/or iymax=NbinsY the underflow and/or overflow in Y will be excluded
if option "e" is specified, the errors are computed. if option "d" is specified, the projection is drawn in the current pad. if option "o" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.
NOTE that if a TH1D named "name" exists in the current directory or pad, the histogram is reset and filled again with the projected contents of the TH3.
implemented using Project3D
Replace current statistics with the values in array stats.
Reimplemented from TH1.
Reimplemented in TProfile3D.
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virtual |
Rebin this histogram grouping nxgroup/nygroup/nzgroup bins along the xaxis/yaxis/zaxis together.
if newname is not blank a new temporary histogram hnew is created. else the current histogram is modified (default) The parameter nxgroup/nygroup indicate how many bins along the xaxis/yaxis of this have to me merged into one bin of hnew If the original histogram has errors stored (via Sumw2), the resulting histograms has new errors correctly calculated.
examples: if hpxpy is an existing TH3 histogram with 40 x 40 x 40 bins hpxpypz->Rebin3D(); // merges two bins along the xaxis and yaxis in one in hpxpypz // Carefull: previous contents of hpxpy are lost hpxpypz->RebinX(5); //merges five bins along the xaxis in one in hpxpypz TH3 *hnew = hpxpypz->RebinY(5,"hnew"); // creates a new histogram hnew // merging 5 bins of h1 along the yaxis in one bin
NOTE : If nxgroup/nygroup is not an exact divider of the number of bins, along the xaxis/yaxis the top limit(s) of the rebinned histogram is changed to the upper edge of the xbin=newxbins*nxgroup resp. ybin=newybins*nygroup and the corresponding bins are added to the overflow bin. Statistics will be recomputed from the new bin contents.
When the mouse is moved in a pad containing a 3-d view of this histogram a second canvas shows a projection type given as option.
To stop the generation of the projections, delete the canvas containing the projection. option may contain a combination of the characters x,y,z,e option = "x" return the x projection into a TH1D histogram option = "y" return the y projection into a TH1D histogram option = "z" return the z projection into a TH1D histogram option = "xy" return the x versus y projection into a TH2D histogram option = "yx" return the y versus x projection into a TH2D histogram option = "xz" return the x versus z projection into a TH2D histogram option = "zx" return the z versus x projection into a TH2D histogram option = "yz" return the y versus z projection into a TH2D histogram option = "zy" return the z versus y projection into a TH2D histogram option can also include the drawing option for the projection, eg to draw the xy projection using the draw option "box" do myhist.SetShowProjection("xy box"); This function is typically called from the context menu. NB: the notation "a vs b" means "a" vertical and "b" horizontal