A helper class to smooth TGraph.
see examples in $ROOTSYS/tutorials/graphs/motorcycle.C and approx.C
Definition at line 36 of file TGraphSmooth.h.
Public Member Functions | |
TGraphSmooth () | |
TGraphSmooth (const char *name) | |
GraphSmooth constructor. More... | |
virtual | ~TGraphSmooth () |
GraphSmooth destructor. More... | |
TGraph * | Approx (TGraph *grin, Option_t *option="linear", Int_t nout=50, Double_t *xout=0, Double_t yleft=0, Double_t yright=0, Int_t rule=0, Double_t f=0, Option_t *ties="mean") |
Approximate data points. More... | |
void | Approxin (TGraph *grin, Int_t iKind, Double_t &Ylow, Double_t &Yhigh, Int_t rule, Int_t iTies) |
Sort data points and eliminate double x values. More... | |
void | Lowess (Double_t *x, Double_t *y, Int_t n, Double_t *ys, Double_t span, Int_t iter, Double_t delta) |
Lowess regression smoother. More... | |
void | Smoothin (TGraph *grin) |
Sort input data points. More... | |
TGraph * | SmoothKern (TGraph *grin, Option_t *option="normal", Double_t bandwidth=0.5, Int_t nout=100, Double_t *xout=0) |
Smooth data with Kernel smoother. More... | |
TGraph * | SmoothLowess (TGraph *grin, Option_t *option="", Double_t span=0.67, Int_t iter=3, Double_t delta=0) |
Smooth data with Lowess smoother. More... | |
TGraph * | SmoothSuper (TGraph *grin, Option_t *option="", Double_t bass=0, Double_t span=0, Bool_t isPeriodic=kFALSE, Double_t *w=0) |
Smooth data with Super smoother. More... | |
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TNamed () | |
TNamed (const char *name, const char *title) | |
TNamed (const TNamed &named) | |
TNamed copy ctor. More... | |
TNamed (const TString &name, const TString &title) | |
virtual | ~TNamed () |
TNamed destructor. More... | |
virtual void | Clear (Option_t *option="") |
Set name and title to empty strings (""). More... | |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. More... | |
virtual Int_t | Compare (const TObject *obj) const |
Compare two TNamed objects. More... | |
virtual void | Copy (TObject &named) const |
Copy this to obj. More... | |
virtual void | FillBuffer (char *&buffer) |
Encode TNamed into output buffer. More... | |
virtual const char * | GetName () const |
Returns name of object. More... | |
virtual const char * | GetTitle () const |
Returns title of object. More... | |
virtual ULong_t | Hash () const |
Return hash value for this object. More... | |
virtual Bool_t | IsSortable () const |
virtual void | ls (Option_t *option="") const |
List TNamed name and title. More... | |
TNamed & | operator= (const TNamed &rhs) |
TNamed assignment operator. More... | |
virtual void | Print (Option_t *option="") const |
Print TNamed name and title. More... | |
virtual void | SetName (const char *name) |
Set the name of the TNamed. More... | |
virtual void | SetNameTitle (const char *name, const char *title) |
Set all the TNamed parameters (name and title). More... | |
virtual void | SetTitle (const char *title="") |
Set the title of the TNamed. More... | |
virtual Int_t | Sizeof () const |
Return size of the TNamed part of the TObject. More... | |
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TObject () | |
TObject constructor. More... | |
TObject (const TObject &object) | |
TObject copy ctor. More... | |
virtual | ~TObject () |
TObject destructor. More... | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. More... | |
virtual void | AppendPad (Option_t *option="") |
Append graphics object to current pad. More... | |
virtual void | Browse (TBrowser *b) |
Browse object. May be overridden for another default action. More... | |
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. More... | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. More... | |
virtual void | Clear (Option_t *="") |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. More... | |
virtual Int_t | Compare (const TObject *obj) const |
Compare abstract method. More... | |
virtual void | Copy (TObject &object) const |
Copy this to obj. More... | |
virtual void | Delete (Option_t *option="") |
Delete this object. More... | |
virtual Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
Computes distance from point (px,py) to the object. More... | |
virtual void | Draw (Option_t *option="") |
Default Draw method for all objects. More... | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. More... | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad for instance with: gROOT->SetSelectedPad(gPad) . More... | |
virtual void | Dump () const |
Dump contents of object on stdout. More... | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. More... | |
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. More... | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=0) |
Execute method on this object with parameters stored in the TObjArray. More... | |
virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
Execute action corresponding to an event at (px,py). More... | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. More... | |
virtual TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. More... | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. More... | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. More... | |
virtual const char * | GetIconName () const |
Returns mime type name of object. More... | |
virtual const char * | GetName () const |
Returns name of object. More... | |
virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
Returns string containing info about the object at position (px,py). More... | |
virtual Option_t * | GetOption () const |
virtual const char * | GetTitle () const |
Returns title of object. More... | |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. More... | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. More... | |
virtual ULong_t | Hash () const |
Return hash value for this object. More... | |
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. More... | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. More... | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". More... | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. More... | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. More... | |
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). More... | |
virtual Bool_t | IsFolder () const |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More... | |
R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
virtual Bool_t | IsSortable () const |
R__ALWAYS_INLINE Bool_t | IsZombie () const |
virtual void | ls (Option_t *option="") const |
The ls function lists the contents of a class on stdout. More... | |
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). More... | |
virtual Bool_t | Notify () |
This method must be overridden to handle object notification. More... | |
void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
Use this method to declare a method obsolete. More... | |
void | operator delete (void *ptr) |
Operator delete. More... | |
void | operator delete[] (void *ptr) |
Operator delete []. More... | |
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. More... | |
virtual void | Paint (Option_t *option="") |
This method must be overridden if a class wants to paint itself. More... | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. More... | |
virtual void | Print (Option_t *option="") const |
This method must be overridden when a class wants to print itself. More... | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. More... | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove this object from a list. More... | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. More... | |
virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
Save a primitive as a C++ statement(s) on output stream "out". More... | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. More... | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. More... | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. More... | |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. More... | |
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. More... | |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. More... | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. More... | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. More... | |
Static Public Member Functions | |
static Double_t | Approx1 (Double_t v, Double_t f, Double_t *x, Double_t *y, Int_t n, Int_t iKind, Double_t Ylow, Double_t Yhigh) |
Approximate one data point. More... | |
static void | BDRksmooth (Double_t *x, Double_t *y, Int_t n, Double_t *xp, Double_t *yp, Int_t np, Int_t kernel, Double_t bw) |
Smooth data with specified kernel. More... | |
static void | BDRsmooth (Int_t n, Double_t *x, Double_t *y, Double_t *w, Double_t span, Int_t iper, Double_t vsmlsq, Double_t *smo, Double_t *acvr) |
Function for super smoother Based on R function supsmu: Translated to C++ by C. More... | |
static void | BDRsupsmu (Int_t n, Double_t *x, Double_t *y, Double_t *w, Int_t iper, Double_t span, Double_t alpha, Double_t *smo, Double_t *sc) |
Friedmanns super smoother (Friedman, 1984). More... | |
static void | Lowest (Double_t *x, Double_t *y, Int_t n, Double_t &xs, Double_t &ys, Int_t nleft, Int_t nright, Double_t *w, Bool_t userw, Double_t *rw, Bool_t &ok) |
Fit value at x[i] Based on R function lowest: Translated to C++ by C. More... | |
static void | Psort (Double_t *x, Int_t n, Int_t k) |
Static function based on R function rPsort: adapted to C++ by Christian Stratowa (R source file: R_sort.c by R Development Core Team (C) 1999-2001) More... | |
static void | Rank (Int_t n, Double_t *a, Int_t *index, Int_t *rank, Bool_t down=kTRUE) |
static function More... | |
static Int_t | Rcmp (Double_t x, Double_t y) |
Static function if (ISNAN(x)) return 1; if (ISNAN(y)) return -1;. More... | |
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static Long_t | GetDtorOnly () |
Return destructor only flag. More... | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. More... | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. More... | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. More... | |
Protected Attributes | |
TGraph * | fGin |
TGraph * | fGout |
Double_t | fMaxX |
Double_t | fMinX |
Int_t | fNin |
Int_t | fNout |
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TString | fName |
TString | fTitle |
Private Member Functions | |
TGraphSmooth (const TGraphSmooth &) | |
TGraphSmooth & | operator= (const TGraphSmooth &) |
Additional Inherited Members | |
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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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enum | { kOnlyPrepStep = BIT(3) } |
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virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). More... | |
void | MakeZombie () |
#include <TGraphSmooth.h>
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private |
TGraphSmooth::TGraphSmooth | ( | ) |
Definition at line 41 of file TGraphSmooth.cxx.
TGraphSmooth::TGraphSmooth | ( | const char * | name | ) |
GraphSmooth constructor.
Definition at line 54 of file TGraphSmooth.cxx.
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GraphSmooth destructor.
Definition at line 67 of file TGraphSmooth.cxx.
TGraph * TGraphSmooth::Approx | ( | TGraph * | grin, |
Option_t * | option = "linear" , |
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Int_t | nout = 50 , |
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Double_t * | xout = 0 , |
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Double_t | yleft = 0 , |
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Double_t | yright = 0 , |
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Int_t | rule = 0 , |
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Double_t | f = 0 , |
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Option_t * | ties = "mean" |
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Approximate data points.
[in] | grin | graph giving the coordinates of the points to be interpolated. Alternatively a single plotting structure can be specified: |
[in] | option | specifies the interpolation method to be used. Choices are "linear" (iKind = 1) or "constant" (iKind = 2). |
[in] | nout | If xout is not specified, interpolation takes place at n equally spaced points spanning the interval [min(x), max(x)], where nout = max(nout, number of input data). |
[in] | xout | an optional set of values specifying where interpolation is to take place. |
[in] | yleft | the value to be returned when input x values less than min(x). The default is defined by the value of rule given below. |
[in] | yright | the value to be returned when input x values greater than max(x). The default is defined by the value of rule given below. |
[in] | rule | an integer describing how interpolation is to take place outside the interval [min(x), max(x)]. If rule is 0 then the given yleft and yright values are returned, if it is 1 then 0 is returned for such points and if it is 2, the value at the closest data extreme is used. |
[in] | f | For method="constant" a number between 0 and 1 inclusive, indicating a compromise between left- and right-continuous step functions. If y0 and y1 are the values to the left and right of the point then the value is y0*f+y1*(1-f) so that f=0 is right-continuous and f=1 is left-continuous |
[in] | ties | Handling of tied x values. An integer describing a function with a single vector argument returning a single number result:
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Details:
At least two complete (x, y) pairs are required. If there are duplicated (tied) x values and ties is a function it is applied to the y values for each distinct x value. Useful functions in this context include mean, min, and max. If ties="ordered" the x values are assumed to be already ordered. The first y value will be used for interpolation to the left and the last one for interpolation to the right.
approx returns a graph with components x and y, containing n coordinates which interpolate the given data points according to the method (and rule) desired.
Definition at line 998 of file TGraphSmooth.cxx.
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Approximate one data point.
Approximate y(v), given (x,y)[i], i = 0,..,n-1 Based on R function approx1: Translated to C++ by Christian Stratowa (R source file: approx.c by R Development Core Team (C) 1999-2001)
Definition at line 1060 of file TGraphSmooth.cxx.
void TGraphSmooth::Approxin | ( | TGraph * | grin, |
Int_t | iKind, | ||
Double_t & | Ylow, | ||
Double_t & | Yhigh, | ||
Int_t | rule, | ||
Int_t | iTies | ||
) |
Sort data points and eliminate double x values.
Definition at line 859 of file TGraphSmooth.cxx.
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Smooth data with specified kernel.
Based on R function ksmooth: Translated to C++ by C. Stratowa (R source file: ksmooth.c by B.D.Ripley Copyright (C) 1998)
Definition at line 157 of file TGraphSmooth.cxx.
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Function for super smoother Based on R function supsmu: Translated to C++ by C.
Stratowa (R source file: ppr.f by B.D.Ripley Copyright (C) 1994-97)
Definition at line 694 of file TGraphSmooth.cxx.
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static |
Friedmanns super smoother (Friedman, 1984).
version 10/10/84 coded and copywrite (c) 1984 by:
Jerome H. Friedman department of statistics and stanford linear accelerator center stanford university
all rights reserved.
[in] | n | number of observations (x,y - pairs). |
[in] | x | ordered abscissa values. |
[in] | y | corresponding ordinate (response) values. |
[in] | w | weight for each (x,y) observation. |
[in] | iper | periodic variable flag.
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[in] | span | smoother span (fraction of observations in window).
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[in] | alpha | controls high frequency (small span) penality used with automatic span selection (bass tone control). (alpha.le.0.0 or alpha.gt.10.0 => no effect.) |
[out] | smo | smoothed ordinate (response) values. |
sc | internal working storage. |
note:
for small samples (n < 40) or if there are substantial serial correlations between observations close in x - value, then a prespecified fixed span smoother (span > 0) should be used. reasonable span values are 0.2 to 0.4.
current implementation:
Based on R function supsmu: Translated to C++ by C. Stratowa (R source file: ppr.f by B.D.Ripley Copyright (C) 1994-97)
Definition at line 573 of file TGraphSmooth.cxx.
void TGraphSmooth::Lowess | ( | Double_t * | x, |
Double_t * | y, | ||
Int_t | n, | ||
Double_t * | ys, | ||
Double_t | span, | ||
Int_t | iter, | ||
Double_t | delta | ||
) |
Lowess regression smoother.
Based on R function clowess: Translated to C++ by C. Stratowa (R source file: lowess.c by R Development Core Team (C) 1999-2001)
Definition at line 251 of file TGraphSmooth.cxx.
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Fit value at x[i] Based on R function lowest: Translated to C++ by C.
Stratowa (R source file: lowess.c by R Development Core Team (C) 1999-2001)
Definition at line 374 of file TGraphSmooth.cxx.
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private |
Static function based on R function rPsort: adapted to C++ by Christian Stratowa (R source file: R_sort.c by R Development Core Team (C) 1999-2001)
Definition at line 1106 of file TGraphSmooth.cxx.
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static |
static function
Definition at line 1126 of file TGraphSmooth.cxx.
Static function if (ISNAN(x)) return 1; if (ISNAN(y)) return -1;.
Definition at line 1094 of file TGraphSmooth.cxx.
Sort input data points.
Definition at line 77 of file TGraphSmooth.cxx.
TGraph * TGraphSmooth::SmoothKern | ( | TGraph * | grin, |
Option_t * | option = "normal" , |
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Double_t | bandwidth = 0.5 , |
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Int_t | nout = 100 , |
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Double_t * | xout = 0 |
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) |
Smooth data with Kernel smoother.
Smooth grin with the Nadaraya-Watson kernel regression estimate.
[in] | grin | input graph |
[in] | option | the kernel to be used: "box", "normal" |
[in] | bandwidth | the bandwidth. The kernels are scaled so that their quartiles (viewed as probability densities) are at +/- 0.25*bandwidth. |
[in] | nout | If xout is not specified, interpolation takes place at equally spaced points spanning the interval [min(x), max(x)], where nout = max(nout, number of input data). |
[in] | xout | an optional set of values at which to evaluate the fit |
Definition at line 117 of file TGraphSmooth.cxx.
TGraph * TGraphSmooth::SmoothLowess | ( | TGraph * | grin, |
Option_t * | option = "" , |
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Double_t | span = 0.67 , |
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Int_t | iter = 3 , |
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Double_t | delta = 0 |
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) |
Smooth data with Lowess smoother.
This function performs the computations for the LOWESS smoother (see the reference below). Lowess returns the output points x and y which give the coordinates of the smooth.
[in] | grin | Input graph |
[in] | span | the smoother span. This gives the proportion of points in the plot which influence the smooth at each value. Larger values give more smoothness. |
[in] | iter | the number of robustifying iterations which should be performed. Using smaller values of iter will make lowess run faster. |
[in] | delta | values of x which lie within delta of each other replaced by a single value in the output from lowess. For delta = 0, delta will be calculated. |
References:
Definition at line 223 of file TGraphSmooth.cxx.
TGraph * TGraphSmooth::SmoothSuper | ( | TGraph * | grin, |
Option_t * | option = "" , |
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Double_t | bass = 0 , |
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Double_t | span = 0 , |
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Bool_t | isPeriodic = kFALSE , |
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Double_t * | w = 0 |
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) |
Smooth data with Super smoother.
Smooth the (x, y) values by Friedman's `‘super smoother’'.
[in] | grin | graph for smoothing |
[in] | span | the fraction of the observations in the span of the running lines smoother, or 0 to choose this by leave-one-out cross-validation. |
[in] | bass | controls the smoothness of the fitted curve. Values of up to 10 indicate increasing smoothness. |
[in] | isPeriodic | if TRUE, the x values are assumed to be in [0, 1] and of period 1. |
[in] | w | case weights |
Details:
supsmu is a running lines smoother which chooses between three spans for the lines. The running lines smoothers are symmetric, with k/2 data points each side of the predicted point, and values of k as 0.5 * n, 0.2 * n and 0.05 * n, where n is the number of data points. If span is specified, a single smoother with span span * n is used.
The best of the three smoothers is chosen by cross-validation for each prediction. The best spans are then smoothed by a running lines smoother and the final prediction chosen by linear interpolation.
The FORTRAN code says: ``For small samples (n < 40) or if there are substantial serial correlations between observations close in x - value, then a prespecified fixed span smoother (span > 0) should be used. Reasonable span values are 0.2 to 0.4.''
References:
Definition at line 482 of file TGraphSmooth.cxx.
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Definition at line 45 of file TGraphSmooth.h.
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Definition at line 46 of file TGraphSmooth.h.
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protected |
Definition at line 48 of file TGraphSmooth.h.
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Definition at line 47 of file TGraphSmooth.h.
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Definition at line 43 of file TGraphSmooth.h.
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Definition at line 44 of file TGraphSmooth.h.