Multidimensional histogram.
Use a THn if you really, really have to store more than three dimensions, and if a large fraction of all bins are filled. Better alternatives are
The major problem of THn is the memory use caused by n-dimensional histogramming: a THnD with 8 dimensions and 100 bins per dimension needs more than 2.5GB of RAM!
To construct a THn object you must use one of its templated, derived classes:
THnD (typedef for THnT<Double_t>): bin content held by a Double_t, THnF (typedef for THnT<Float_t>): bin content held by a Float_t, THnL (typedef for THnT<Long_t>): bin content held by a Long_t, THnI (typedef for THnT<Int_t>): bin content held by an Int_t, THnS (typedef for THnT<Short_t>): bin content held by a Short_t, THnC (typedef for THnT<Char_t>): bin content held by a Char_t,
They take name and title, the number of dimensions, and for each dimension the number of bins, the minimal, and the maximal value on the dimension's axis. A TH2F h("h","h",10, 0., 10., 20, -5., 5.) would correspond to
Int_t bins[2] = {10, 20}; Double_t xmin[2] = {0., -5.}; Double_t xmax[2] = {10., 5.}; THnF hn("hn", "hn", 2, bins, xmin, xmax);
A THn is filled just like a regular histogram, using THn::Fill(x, weight), where x is a n-dimensional Double_t value. To take errors into account, Sumw2() must be called before filling the histogram. Storage is allocated when the first bin content is stored.
The dimensionality of a THn can be reduced by projecting it to 1, 2, 3, or n dimensions, which can be represented by a TH1, TH2, TH3, or a THn. See the Projection() members. To only project parts of the histogram, call
hn->GetAxis(12)->SetRange(from_bin, to_bin);
The static factory function THn::CreateHn() can be used to create a THn from a TH1, TH2, TH3, THnSparse and (for copying) even from a THn. The created THn will have compatble storage type, i.e. calling CreateHn() on a TH2F will create a THnF.
Public Member Functions | |
virtual | ~THn () |
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.) |
void | AddBinError2 (Long64_t bin, Double_t e2) |
ROOT::Internal::THnBaseBinIter * | CreateIter (Bool_t respectAxisRange) const |
Create an iterator over all bins. Public interface is THnIter. | |
void | FillBin (Long64_t bin, Double_t w) |
Increment the bin content of "bin" by "w", return the bin index. | |
virtual const TNDArray & | GetArray () const =0 |
virtual TNDArray & | GetArray ()=0 |
Long64_t | GetBin (const char *name[]) const |
Long64_t | GetBin (const char *name[], Bool_t=kTRUE) |
Long64_t | GetBin (const Double_t *x) const |
Long64_t | GetBin (const Double_t *x, Bool_t=kTRUE) |
Long64_t | GetBin (const Int_t *idx) const |
Long64_t | GetBin (const Int_t *idx, Bool_t=kTRUE) |
Double_t | GetBinContent (const Int_t *idx) const |
Forwards to THnBase::GetBinContent() overload. | |
Double_t | GetBinContent (Long64_t bin, Int_t *idx=0) const |
Get the content of bin, and set its index if idx is != 0. | |
Double_t | GetBinError2 (Long64_t linidx) const |
Long64_t | GetNbins () const |
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="") |
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) |
void | SetBinError2 (Long64_t bin, Double_t e2) |
void | Sumw2 () |
Enable calculation of errors. | |
Public Member Functions inherited from THnBase | |
virtual | ~THnBase () |
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) |
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 () |
Calculate the integral of the histogram. | |
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 |
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 |
Bool_t | IsFolder () const |
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 |
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=0) 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) |
Change (i.e. | |
Public Member Functions inherited from TNamed | |
TNamed () | |
TNamed (const char *name, const char *title) | |
TNamed (const TNamed &named) | |
TNamed copy ctor. | |
TNamed (const TString &name, const TString &title) | |
virtual | ~TNamed () |
TNamed destructor. | |
virtual void | Clear (Option_t *option="") |
Set name and title to empty strings (""). | |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. | |
virtual Int_t | Compare (const TObject *obj) const |
Compare two TNamed objects. | |
virtual void | Copy (TObject &named) const |
Copy this to obj. | |
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 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. | |
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 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 | 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. | |
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 | 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. | |
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=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. | |
Static Public Member Functions | |
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 Public Member Functions inherited from TObject | |
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 Member Functions | |
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) |
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 () |
Protected Attributes | |
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 = 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) } |
Protected Types inherited from THnBase | |
enum | { kNoInt , kValidInt , kInvalidInt } |
Protected Types inherited from TObject | |
enum | { kOnlyPrepStep = BIT(3) } |
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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protecteddefault |
Forwards to THnBase::SetBinContent().
Non-virtual, CINT-compatible replacement of a using declaration.
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protected |
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virtual |
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inlinevirtual |
Forwards to THnBase::GetBinContent() overload.
Non-virtual, CINT-compatible replacement of a using declaration.
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inlinevirtual |
Forwards to THnBase::Projection().
Non-virtual, as a CINT-compatible replacement of a using declaration.
Forwards to THnBase::Projection().
Non-virtual, as a CINT-compatible replacement of a using declaration.
Forwards to THnBase::Projection().
Non-virtual, as a CINT-compatible replacement of a using declaration.
Forwards to THnBase::SetBinContent().
Non-virtual, CINT-compatible replacement of a using declaration.
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virtual |