Kernel Density Estimation class.
The three main references are:
- "Scott DW, Multivariate Density Estimation. Theory, Practice and Visualization. New York: Wiley",
- "Jann Ben - ETH Zurich, Switzerland -, Univariate kernel density estimation document for KDENS:
Stata module for univariate kernel density estimation."
- "Hardle W, Muller M, Sperlich S, Werwatz A, Nonparametric and Semiparametric Models. Springer."
- "Cranmer KS, Kernel Estimation in High-Energy
Physics. Computer Physics Communications 136:198-207,2001" - e-Print Archive: hep ex/0011057.
The algorithm is briefly described in (4). A binned version is also implemented to address the performance issue due to its data size dependance.
Definition at line 37 of file TKDE.h.
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| | TKDE () |
| | default constructor used only by I/O
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| template<class KernelFunction > |
| | TKDE (const Char_t *, const KernelFunction &kernfunc, UInt_t events, const Double_t *data, const Double_t *dataWeight, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0) |
| | Constructor for weighted data and a user defined kernel function.
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| template<class KernelFunction > |
| | TKDE (const Char_t *, const KernelFunction &kernfunc, UInt_t events, const Double_t *data, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:UserDefined;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0) |
| | Constructor for unweighted data and a user defined kernel function.
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| | TKDE (UInt_t events, const Double_t *data, const Double_t *dataWeight, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0) |
| | Constructor for weighted data.
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| | TKDE (UInt_t events, const Double_t *data, Double_t xMin=0.0, Double_t xMax=0.0, const Option_t *option="KernelType:Gaussian;Iteration:Adaptive;Mirror:noMirror;Binning:RelaxedBinning", Double_t rho=1.0) |
| | Constructor for unweighted data Varius option for TKDE can be passed in the option string as below.
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| | ~TKDE () override |
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| void | Draw (const Option_t *option="") override |
| | Draws either the KDE functions or its errors.
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| void | Fill (Double_t data) |
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| void | Fill (Double_t data, Double_t weight) |
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| const Double_t * | GetAdaptiveWeights () const |
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| TF1 * | GetApproximateBias (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0) |
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| Double_t | GetBias (Double_t x) const |
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| Double_t | GetError (Double_t x) const |
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| Double_t | GetFixedWeight () const |
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| TF1 * | GetFunction (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0) |
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| TGraphErrors * | GetGraphWithErrors (UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0) |
| | return a TGraphErrors with the KDE values and errors The return object is managed by the user
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| TF1 * | GetLowerFunction (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0) |
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| Double_t | GetMean () const |
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| Double_t | GetRAMISE () const |
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| Double_t | GetSigma () const |
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| TF1 * | GetUpperFunction (Double_t confidenceLevel=0.95, UInt_t npx=100, Double_t xMin=1.0, Double_t xMax=0.0) |
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| Double_t | GetValue (Double_t x) const |
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| TClass * | IsA () const override |
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| Double_t | operator() (const Double_t *x, const Double_t *p=nullptr) const |
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| Double_t | operator() (Double_t x) const |
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| void | SetBinning (EBinning) |
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| void | SetIteration (EIteration iter) |
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| void | SetKernelType (EKernelType kern) |
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| void | SetMirror (EMirror mir) |
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| void | SetNBins (UInt_t nbins) |
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| void | SetRange (Double_t xMin, Double_t xMax) |
| | By default computed from the data.
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| void | SetTuneFactor (Double_t rho) |
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| void | SetUseBinsNEvents (UInt_t nEvents) |
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| void | Streamer (TBuffer &) override |
| | Stream an object of class TObject.
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| void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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Allow to change settings These objects are managed by TKDE and should not be deleted by the user
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| TF1 * | GetDrawnFunction () |
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| TF1 * | GetDrawnUpperFunction () |
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| TF1 * | GetDrawnLowerFunction () |
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| TGraphErrors * | GetDrawnGraph () |
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| | TNamed () |
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| | TNamed (const char *name, const char *title) |
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| | TNamed (const TNamed &named) |
| | TNamed copy ctor.
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| | TNamed (const TString &name, const TString &title) |
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| virtual | ~TNamed () |
| | TNamed destructor.
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| void | Clear (Option_t *option="") override |
| | Set name and title to empty strings ("").
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| TObject * | Clone (const char *newname="") const override |
| | Make a clone of an object using the Streamer facility.
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| Int_t | Compare (const TObject *obj) const override |
| | Compare two TNamed objects.
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| void | Copy (TObject &named) const override |
| | Copy this to obj.
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| virtual void | FillBuffer (char *&buffer) |
| | Encode TNamed into output buffer.
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| const char * | GetName () const override |
| | Returns name of object.
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| const char * | GetTitle () const override |
| | Returns title of object.
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| ULong_t | Hash () const override |
| | Return hash value for this object.
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| TClass * | IsA () const override |
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| Bool_t | IsSortable () const override |
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| void | ls (Option_t *option="") const override |
| | List TNamed name and title.
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| TNamed & | operator= (const TNamed &rhs) |
| | TNamed assignment operator.
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| void | Print (Option_t *option="") const override |
| | Print TNamed name and title.
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| virtual void | SetName (const char *name) |
| | Set the name of the TNamed.
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| virtual void | SetNameTitle (const char *name, const char *title) |
| | Set all the TNamed parameters (name and title).
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| virtual void | SetTitle (const char *title="") |
| | Set the title of the TNamed.
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| virtual Int_t | Sizeof () const |
| | Return size of the TNamed part of the TObject.
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| void | Streamer (TBuffer &) override |
| | Stream an object of class TObject.
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| void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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| | TObject () |
| | TObject constructor.
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| | TObject (const TObject &object) |
| | TObject copy ctor.
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| virtual | ~TObject () |
| | TObject destructor.
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| void | AbstractMethod (const char *method) const |
| | Use this method to implement an "abstract" method that you don't want to leave purely abstract.
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| virtual void | AppendPad (Option_t *option="") |
| | Append graphics object to current pad.
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| virtual void | Browse (TBrowser *b) |
| | Browse object. May be overridden for another default action.
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| 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.
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| virtual const char * | ClassName () const |
| | Returns name of class to which the object belongs.
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| virtual void | Delete (Option_t *option="") |
| | Delete this object.
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| virtual Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
| | Computes distance from point (px,py) to the object.
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| virtual void | Draw (Option_t *option="") |
| | Default Draw method for all objects.
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| virtual void | DrawClass () const |
| | Draw class inheritance tree of the class to which this object belongs.
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| virtual TObject * | DrawClone (Option_t *option="") const |
| | Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1).
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| virtual void | Dump () const |
| | Dump contents of object on stdout.
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| virtual void | Error (const char *method, const char *msgfmt,...) const |
| | Issue error message.
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| 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.
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| virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr) |
| | Execute method on this object with parameters stored in the TObjArray.
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| virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
| | Execute action corresponding to an event at (px,py).
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| virtual void | Fatal (const char *method, const char *msgfmt,...) const |
| | Issue fatal error message.
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| virtual TObject * | FindObject (const char *name) const |
| | Must be redefined in derived classes.
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| virtual TObject * | FindObject (const TObject *obj) const |
| | Must be redefined in derived classes.
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| virtual Option_t * | GetDrawOption () const |
| | Get option used by the graphics system to draw this object.
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| virtual const char * | GetIconName () const |
| | Returns mime type name of object.
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| virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
| | Returns string containing info about the object at position (px,py).
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| virtual Option_t * | GetOption () const |
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| virtual UInt_t | GetUniqueID () const |
| | Return the unique object id.
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| virtual Bool_t | HandleTimer (TTimer *timer) |
| | Execute action in response of a timer timing out.
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| 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.
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| virtual void | Info (const char *method, const char *msgfmt,...) const |
| | Issue info message.
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| virtual Bool_t | InheritsFrom (const char *classname) const |
| | Returns kTRUE if object inherits from class "classname".
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| virtual Bool_t | InheritsFrom (const TClass *cl) const |
| | Returns kTRUE if object inherits from TClass cl.
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| virtual void | Inspect () const |
| | Dump contents of this object in a graphics canvas.
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| void | InvertBit (UInt_t f) |
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| Bool_t | IsDestructed () const |
| | IsDestructed.
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| virtual Bool_t | IsEqual (const TObject *obj) const |
| | Default equal comparison (objects are equal if they have the same address in memory).
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| virtual Bool_t | IsFolder () const |
| | Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).
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| R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
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| R__ALWAYS_INLINE Bool_t | IsZombie () const |
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| 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).
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| virtual Bool_t | Notify () |
| | This method must be overridden to handle object notification (the base implementation is no-op).
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| void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
| | Use this method to declare a method obsolete.
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| void | operator delete (void *, size_t) |
| | Operator delete for sized deallocation.
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| void | operator delete (void *ptr) |
| | Operator delete.
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| void | operator delete (void *ptr, void *vp) |
| | Only called by placement new when throwing an exception.
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| void | operator delete[] (void *, size_t) |
| | Operator delete [] for sized deallocation.
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| void | operator delete[] (void *ptr) |
| | Operator delete [].
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| void | operator delete[] (void *ptr, void *vp) |
| | Only called by placement new[] when throwing an exception.
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| void * | operator new (size_t sz) |
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| void * | operator new (size_t sz, void *vp) |
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| void * | operator new[] (size_t sz) |
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| void * | operator new[] (size_t sz, void *vp) |
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| TObject & | operator= (const TObject &rhs) |
| | TObject assignment operator.
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| virtual void | Paint (Option_t *option="") |
| | This method must be overridden if a class wants to paint itself.
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| virtual void | Pop () |
| | Pop on object drawn in a pad to the top of the display list.
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| virtual Int_t | Read (const char *name) |
| | Read contents of object with specified name from the current directory.
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| virtual void | RecursiveRemove (TObject *obj) |
| | Recursively remove this object from a list.
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| void | ResetBit (UInt_t f) |
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| virtual void | SaveAs (const char *filename="", Option_t *option="") const |
| | Save this object in the file specified by filename.
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| virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
| | Save a primitive as a C++ statement(s) on output stream "out".
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| void | SetBit (UInt_t f) |
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| void | SetBit (UInt_t f, Bool_t set) |
| | Set or unset the user status bits as specified in f.
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| virtual void | SetDrawOption (Option_t *option="") |
| | Set drawing option for object.
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| virtual void | SetUniqueID (UInt_t uid) |
| | Set the unique object id.
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| void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
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| virtual void | SysError (const char *method, const char *msgfmt,...) const |
| | Issue system error message.
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| R__ALWAYS_INLINE Bool_t | TestBit (UInt_t f) const |
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| Int_t | TestBits (UInt_t f) const |
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| virtual void | UseCurrentStyle () |
| | Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.
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| virtual void | Warning (const char *method, const char *msgfmt,...) const |
| | Issue warning message.
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| virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) |
| | Write this object to the current directory.
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| virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const |
| | Write this object to the current directory.
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