Templated implementation of the abstract base THn.
All functionality and the interfaces to be used are in THn!
THn does not know how to store any bin content itself. Instead, this is delegated to the derived, templated class: the template parameter decides what the format for the bin content is. The actual storage is delegated to TNDArrayT<T>.
Typedefs exist for template parameters with ROOT's generic types:
Templated name | Typedef | Bin content type |
---|---|---|
THnT<Char_t> | THnC | Char_t |
THnT<Short_t> | THnS | Short_t |
THnT<Int_t> | THnI | Int_t |
THnT<Long64_t> | THnL | Long64_t |
THnT<Float_t> | THnF | Float_t |
THnT<Double_t> | THnD | Double_t |
We recommend to use THnC wherever possible, and to map its value space of 256 possible values to e.g. float values outside the class. This saves an enormous amount of memory. Only if more than 256 values need to be distinguished should e.g. THnS or even THnF be chosen.
Implementation detail: the derived, templated class is kept extremely small on purpose. That way the (templated thus inlined) uses of this class will only create a small amount of machine code, in contrast to e.g. STL.
Public Member Functions | |
THnT () | |
THnT (const char *name, const char *title, Int_t dim, const Int_t *nbins, const Double_t *xmin, const Double_t *xmax) | |
THnT (const char *name, const char *title, Int_t dim, const Int_t *nbins, const std::vector< std::vector< double > > &xbins) | |
const TNDArray & | GetArray () const override |
TNDArray & | GetArray () override |
TClass * | IsA () const override |
void | Streamer (TBuffer &) override |
Stream an object of class TObject. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from THn | |
~THn () override | |
Destruct a THn. | |
void | AddBinContent (const Int_t *idx, Double_t v=1.) |
Forwards to THnBase::SetBinContent(). | |
void | AddBinContent (Long64_t bin, Double_t v=1.) override |
void | AddBinError2 (Long64_t bin, Double_t e2) override |
ROOT::Internal::THnBaseBinIter * | CreateIter (Bool_t respectAxisRange) const override |
Create an iterator over all bins. Public interface is THnIter. | |
void | FillBin (Long64_t bin, Double_t w) override |
Increment the bin content of "bin" by "w", return the bin index. | |
Long64_t | GetBin (const char *name[]) const override |
Long64_t | GetBin (const char *name[], Bool_t=kTRUE) override |
Long64_t | GetBin (const Double_t *x) const override |
Long64_t | GetBin (const Double_t *x, Bool_t=kTRUE) override |
Long64_t | GetBin (const Int_t *idx) const override |
Long64_t | GetBin (const Int_t *idx, Bool_t=kTRUE) override |
Double_t | GetBinContent (const Int_t *idx) const |
Forwards to THnBase::GetBinContent() overload. | |
Double_t | GetBinContent (Long64_t bin, Int_t *idx=nullptr) const override |
Get the content of bin, and set its index if idx is != 0. | |
Double_t | GetBinError2 (Long64_t linidx) const override |
Long64_t | GetNbins () const override |
THn * | Projection (Int_t ndim, const Int_t *dim, Option_t *option="") const |
TH3D * | Projection (Int_t xDim, Int_t yDim, Int_t zDim, Option_t *option="") const |
Forwards to THnBase::Projection(). | |
TH1D * | Projection (Int_t xDim, Option_t *option="") const |
Forwards to THnBase::Projection(). | |
TH2D * | Projection (Int_t yDim, Int_t xDim, Option_t *option="") const |
Forwards to THnBase::Projection(). | |
THn * | Rebin (const Int_t *group) const |
THn * | Rebin (Int_t group) const |
void | Reset (Option_t *option="") override |
Reset the contents of a THn. | |
void | SetBinContent (const Int_t *idx, Double_t v) |
Forwards to THnBase::SetBinContent(). | |
void | SetBinContent (Long64_t bin, Double_t v) override |
void | SetBinError2 (Long64_t bin, Double_t e2) override |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
void | Sumw2 () override |
Enable calculation of errors. | |
Public Member Functions inherited from THnBase | |
~THnBase () override | |
Destruct a THnBase. | |
void | Add (const TH1 *hist, Double_t c=1.) |
Fill the THnBase with the bins of hist that have content or error != 0. | |
void | Add (const THnBase *h, Double_t c=1.) |
Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set. | |
void | AddBinContent (const Int_t *x, Double_t v=1.) |
void | Browse (TBrowser *b) override |
Browse a THnSparse: create an entry (ROOT::THnSparseBrowsable) for each dimension. | |
void | CalculateErrors (Bool_t calc=kTRUE) |
Calculate errors (or not if "calc" == kFALSE) | |
Double_t | ComputeIntegral () |
Compute integral (normalized cumulative sum of bins) w/o under/overflows The result is stored in fIntegral and used by the GetRandom functions. | |
void | Divide (const THnBase *h) |
Divide this histogram by h this = this/(h) Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set. | |
void | Divide (const THnBase *h1, const THnBase *h2, Double_t c1=1., Double_t c2=1., Option_t *option="") |
Replace contents of this histogram by multiplication of h1 by h2 this = (c1*h1)/(c2*h2) Note that if h1 or h2 have Sumw2 set, Sumw2 is automatically called for this if not already set. | |
Long64_t | Fill (const char *name[], Double_t w=1.) |
Long64_t | Fill (const Double_t *x, Double_t w=1.) |
template<typename... MoreTypes> | |
Long64_t | Fill (Double_t firstval, MoreTypes... morevals) |
Fill with the provided variadic arguments. | |
TFitResultPtr | Fit (TF1 *f1, Option_t *option="", Option_t *goption="") |
Fit a THnSparse with function f. | |
TAxis * | GetAxis (Int_t dim) const |
std::vector< Double_t > | GetBinCenter (const std::vector< Int_t > &idx) const |
THnBase::GetBinCenter. | |
Double_t | GetBinContent (const Int_t *idx) const |
Double_t | GetBinError (const Int_t *idx) const |
Double_t | GetBinError (Long64_t linidx) const |
Bool_t | GetCalculateErrors () const |
Double_t | GetEntries () const |
TObjArray * | GetListOfAxes () |
const TObjArray * | GetListOfAxes () const |
TList * | GetListOfFunctions () |
Int_t | GetNdimensions () const |
void | GetRandom (Double_t *rand, Bool_t subBinRandom=kTRUE) |
Generate an n-dimensional random tuple based on the histogrammed distribution. | |
Double_t | GetSumw () const |
Double_t | GetSumw2 () const |
Double_t | GetSumwx (Int_t dim) const |
Double_t | GetSumwx2 (Int_t dim) const |
Double_t | GetWeightSum () const |
Double_t | Integral (Bool_t respectAxisRange) const |
Compute integral (sum of counts) of histogram in all dimensions. | |
Bool_t | IsFolder () const override |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). | |
Bool_t | IsInRange (Int_t *coord) const |
Check whether bin coord is in range, as defined by TAxis::SetRange(). | |
Long64_t | Merge (TCollection *list) |
Merge this with a list of THnBase's. | |
void | Multiply (const THnBase *h) |
Multiply this histogram by histogram h this = this * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set. | |
void | Multiply (TF1 *f, Double_t c=1.) |
Performs the operation: this = this*c*f1 if errors are defined, errors are also recalculated. | |
void | Print (Option_t *option="") const override |
Print a THnBase. | |
void | PrintBin (Int_t *coord, Option_t *options) const |
void | PrintBin (Long64_t idx, Option_t *options) const |
Print bin with linex index "idx". | |
void | PrintEntries (Long64_t from=0, Long64_t howmany=-1, Option_t *options=nullptr) const |
Print "howmany" entries starting at "from". | |
TH3D * | Projection (Int_t xDim, Int_t yDim, Int_t zDim, Option_t *option="") const |
Project all bins into a 3-dimensional histogram, keeping only axes "xDim", "yDim", and "zDim". | |
TH1D * | Projection (Int_t xDim, Option_t *option="") const |
Project all bins into a 1-dimensional histogram, keeping only axis "xDim". | |
TH2D * | Projection (Int_t yDim, Int_t xDim, Option_t *option="") const |
Project all bins into a 2-dimensional histogram, keeping only axes "xDim" and "yDim". | |
THnBase * | ProjectionND (Int_t ndim, const Int_t *dim, Option_t *option="") const |
void | RebinnedAdd (const THnBase *h, Double_t c=1.) |
Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set. | |
void | Scale (Double_t c) |
Scale contents and errors of this histogram by c: this = this * c It does not modify the histogram's number of entries. | |
void | SetBinContent (const Int_t *idx, Double_t v) |
void | SetBinEdges (Int_t idim, const Double_t *bins) |
Set the axis # of bins and bin limits on dimension idim. | |
void | SetBinError (const Int_t *idx, Double_t e) |
void | SetBinError (Long64_t bin, Double_t e) |
void | SetEntries (Double_t entries) |
void | SetTitle (const char *title) override |
Change (i.e. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from TNamed | |
TNamed () | |
TNamed (const char *name, const char *title) | |
TNamed (const TNamed &named) | |
TNamed copy ctor. | |
TNamed (const TString &name, const TString &title) | |
virtual | ~TNamed () |
TNamed destructor. | |
void | Clear (Option_t *option="") override |
Set name and title to empty strings (""). | |
TObject * | Clone (const char *newname="") const override |
Make a clone of an object using the Streamer facility. | |
Int_t | Compare (const TObject *obj) const override |
Compare two TNamed objects. | |
void | Copy (TObject &named) const override |
Copy this to obj. | |
virtual void | FillBuffer (char *&buffer) |
Encode TNamed into output buffer. | |
const char * | GetName () const override |
Returns name of object. | |
const char * | GetTitle () const override |
Returns title of object. | |
ULong_t | Hash () const override |
Return hash value for this object. | |
TClass * | IsA () const override |
Bool_t | IsSortable () const override |
void | ls (Option_t *option="") const override |
List TNamed name and title. | |
TNamed & | operator= (const TNamed &rhs) |
TNamed assignment operator. | |
void | Print (Option_t *option="") const override |
Print TNamed name and title. | |
virtual void | SetName (const char *name) |
Set the name of the TNamed. | |
virtual void | SetNameTitle (const char *name, const char *title) |
Set all the TNamed parameters (name and title). | |
virtual Int_t | Sizeof () const |
Return size of the TNamed part of the TObject. | |
void | Streamer (TBuffer &) override |
Stream an object of class TObject. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from TObject | |
TObject () | |
TObject constructor. | |
TObject (const TObject &object) | |
TObject copy ctor. | |
virtual | ~TObject () |
TObject destructor. | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. | |
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 Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
Computes distance from point (px,py) to the object. | |
virtual void | Draw (Option_t *option="") |
Default Draw method for all objects. | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1) . | |
virtual void | Dump () const |
Dump contents of object on stdout. | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. | |
virtual void | Execute (const char *method, const char *params, Int_t *error=nullptr) |
Execute method on this object with the given parameter string, e.g. | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr) |
Execute method on this object with parameters stored in the TObjArray. | |
virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
Execute action corresponding to an event at (px,py). | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. | |
virtual TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. | |
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 char * | GetObjectInfo (Int_t px, Int_t py) const |
Returns string containing info about the object at position (px,py). | |
virtual Option_t * | GetOption () const |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. | |
Bool_t | HasInconsistentHash () const |
Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. | |
void | InvertBit (UInt_t f) |
Bool_t | IsDestructed () const |
IsDestructed. | |
virtual Bool_t | IsEqual (const TObject *obj) const |
Default equal comparison (objects are equal if they have the same address in memory). | |
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 (the base implementation is no-op). | |
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, void *vp) |
Only called by placement new when throwing an exception. | |
void | operator delete[] (void *ptr) |
Operator delete []. | |
void | operator delete[] (void *ptr, void *vp) |
Only called by placement new[] when throwing an exception. | |
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 | Paint (Option_t *option="") |
This method must be overridden if a class wants to paint itself. | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove this object from a list. | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. | |
virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
Save a primitive as a C++ statement(s) on output stream "out". | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. | |
R__ALWAYS_INLINE Bool_t | TestBit (UInt_t f) const |
Int_t | TestBits (UInt_t f) const |
virtual void | UseCurrentStyle () |
Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. | |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. | |
Static Public Member Functions | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from THn | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
Temporary buffer. | |
static THn * | CreateHn (const char *name, const char *title, const TH1 *h1) |
static THn * | CreateHn (const char *name, const char *title, const THnBase *hn) |
static const char * | DeclFileName () |
Static Public Member Functions inherited from THnBase | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from TNamed | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from TObject | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static Longptr_t | GetDtorOnly () |
Return destructor only flag. | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. | |
Protected Attributes | |
TNDArrayT< T > | fArray |
Bin content. | |
Protected Attributes inherited from THn | |
std::vector< Int_t > | fCoordBuf |
TNDArrayT< Double_t > | fSumw2 |
Protected Attributes inherited from THnBase | |
TObjArray | fAxes |
Axes of the histogram. | |
TObjArray | fBrowsables |
! Browser-helpers for each axis | |
Double_t | fEntries |
Number of entries, spread over chunks. | |
std::vector< Double_t > | fIntegral |
! vector with bin weight sums | |
enum THnBase:: { ... } | fIntegralStatus |
! status of integral | |
Int_t | fNdimensions |
Number of dimensions. | |
Double_t | fTsumw |
Total sum of weights. | |
Double_t | fTsumw2 |
Total sum of weights squared; -1 if no errors are calculated. | |
TArrayD | fTsumwx |
Total sum of weight*X for each dimension. | |
TArrayD | fTsumwx2 |
Total sum of weight*X*X for each dimension. | |
Protected Attributes inherited from TNamed | |
TString | fName |
TString | fTitle |
Additional Inherited Members | |
Public Types inherited from TObject | |
enum | { kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff } |
enum | { kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) } |
enum | EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) } |
enum | EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) } |
Protected Types inherited from THnBase | |
enum | { kNoInt , kValidInt , kInvalidInt } |
Protected Types inherited from TObject | |
enum | { kOnlyPrepStep = (1ULL << ( 3 )) } |
Protected Member Functions inherited from THn | |
THn ()=default | |
THn (const char *name, const char *title, Int_t dim, const Int_t *nbins, const Double_t *xmin, const Double_t *xmax) | |
Construct a THn. | |
THn (const char *name, const char *title, Int_t dim, const Int_t *nbins, const std::vector< std::vector< double > > &xbins) | |
void | AllocCoordBuf () const |
Create the coordinate buffer. | |
void | InitStorage (Int_t *nbins, Int_t chunkSize) override |
Initialize the storage of a histogram created via Init() | |
Protected Member Functions inherited from THnBase | |
THnBase () | |
THnBase (const char *name, const char *title, Int_t dim, const Int_t *nbins, const Double_t *xmin, const Double_t *xmax) | |
Construct a THnBase with "dim" dimensions, "nbins" holds the number of bins for each dimension; "xmin" and "xmax" the minimal and maximal value for each dimension. | |
THnBase (const char *name, const char *title, Int_t dim, const Int_t *nbins, const std::vector< std::vector< double > > &xbins) | |
THnBase (const THnBase &other) | |
THnBase (THnBase &&other) | |
void | AddInternal (const THnBase *h, Double_t c, Bool_t rebinned) |
Add() implementation for both rebinned histograms and those with identical binning. | |
Bool_t | CheckConsistency (const THnBase *h, const char *tag) const |
Consistency check on (some of) the parameters of two histograms (for operations). | |
THnBase * | CloneEmpty (const char *name, const char *title, const TObjArray *axes, Bool_t keepTargetAxis) const |
Create a new THnBase object that is of the same type as *this, but with dimensions and bins given by axes. | |
TH1 * | CreateHist (const char *name, const char *title, const TObjArray *axes, Bool_t keepTargetAxis) const |
Create an empty histogram with name and title with a given set of axes. | |
void | FillBinBase (Double_t w) |
Increment the statistics due to filled weight "w",. | |
void | Init (const char *name, const char *title, const TObjArray *axes, Bool_t keepTargetAxis, Int_t chunkSize=1024 *16) |
Initialize axes and name. | |
THnBase & | operator= (const THnBase &other) |
THnBase & | operator= (THnBase &&other) |
Bool_t | PrintBin (Long64_t idx, Int_t *coord, Option_t *options) const |
Print one bin. | |
TObject * | ProjectionAny (Int_t ndim, const Int_t *dim, Bool_t wantNDim, Option_t *option="") const |
Project all bins into a ndim-dimensional THn / THnSparse (whatever *this is) or if (ndim < 4 and !wantNDim) a TH1/2/3 histogram, keeping only axes in dim (specifying ndim dimensions). | |
THnBase * | RebinBase (const Int_t *group) const |
Combine the content of "group" neighboring bins for each dimension into a new bin and return the resulting THnBase. | |
THnBase * | RebinBase (Int_t group) const |
Combine the content of "group" neighboring bins into a new bin and return the resulting THnBase. | |
virtual void | Reserve (Long64_t) |
void | ResetBase (Option_t *option="") |
Clear the histogram. | |
virtual void | SetFilledBins (Long64_t) |
void | UpdateXStat (const Double_t *x, Double_t w=1.) |
Protected Member Functions inherited from TObject | |
virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). | |
void | MakeZombie () |
Static Protected Member Functions inherited from THnBase | |
static THnBase * | CreateHnAny (const char *name, const char *title, const TH1 *h1, Bool_t sparse, Int_t chunkSize=1024 *16) |
Create a THn / THnSparse object from a histogram deriving from TH1. | |
static THnBase * | CreateHnAny (const char *name, const char *title, const THnBase *hn, Bool_t sparse, Int_t chunkSize=1024 *16) |
Create a THnSparse (if "sparse") or THn from "hn", possibly converting THn <-> THnSparse. | |
#include <THn.h>
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static |
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inlinestatic |