ROOT  6.06/09
Reference Guide
Public Member Functions | Static Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
TSpline3 Class Reference

Definition at line 193 of file TSpline.h.

Public Member Functions

 TSpline3 ()
 
 TSpline3 (const char *title, Double_t x[], Double_t y[], Int_t n, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given an array of arbitrary knots in increasing abscissa order and possibly end point conditions. More...
 
 TSpline3 (const char *title, Double_t xmin, Double_t xmax, Double_t y[], Int_t n, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given an array of arbitrary function values on equidistant n abscissa values from xmin to xmax and possibly end point conditions. More...
 
 TSpline3 (const char *title, Double_t x[], const TF1 *func, Int_t n, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given an array of arbitrary abscissas in increasing order and a function to interpolate and possibly end point conditions. More...
 
 TSpline3 (const char *title, Double_t xmin, Double_t xmax, const TF1 *func, Int_t n, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given a function to be evaluated on n equidistand abscissa points between xmin and xmax and possibly end point conditions. More...
 
 TSpline3 (const char *title, const TGraph *g, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given a TGraph with abscissa in increasing order and possibly end point conditions. More...
 
 TSpline3 (const TH1 *h, const char *opt=0, Double_t valbeg=0, Double_t valend=0)
 Third spline creator given a TH1. More...
 
 TSpline3 (const TSpline3 &)
 copy constructor More...
 
TSpline3operator= (const TSpline3 &)
 assignment operator More...
 
Int_t FindX (Double_t x) const
 Find X. More...
 
Double_t Eval (Double_t x) const
 Eval this spline at x. More...
 
Double_t Derivative (Double_t x) const
 Derivative. More...
 
virtual ~TSpline3 ()
 
void GetCoeff (Int_t i, Double_t &x, Double_t &y, Double_t &b, Double_t &c, Double_t &d)
 
void GetKnot (Int_t i, Double_t &x, Double_t &y) const
 
virtual void SaveAs (const char *filename, Option_t *option="") const
 write this spline as a C++ function that can be executed without ROOT the name of the function is the name of the file up to the "." if any More...
 
virtual void SavePrimitive (std::ostream &out, Option_t *option="")
 Save primitive as a C++ statement(s) on output stream out. More...
 
virtual void SetPoint (Int_t i, Double_t x, Double_t y)
 set point number i. More...
 
virtual void SetPointCoeff (Int_t i, Double_t b, Double_t c, Double_t d)
 set point coefficient number i More...
 
- Public Member Functions inherited from TSpline
 TSpline ()
 
 TSpline (const char *title, Double_t delta, Double_t xmin, Double_t xmax, Int_t np, Bool_t step)
 
virtual ~TSpline ()
 destructor More...
 
virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
 Compute distance from point px,py to a spline. More...
 
virtual void Draw (Option_t *option="")
 Draw this function with its current attributes. More...
 
virtual void ExecuteEvent (Int_t event, Int_t px, Int_t py)
 Execute action corresponding to one event. More...
 
virtual Double_t GetDelta () const
 
TH1FGetHistogram () const
 
virtual Int_t GetNp () const
 
virtual Int_t GetNpx () const
 
virtual Double_t GetXmin () const
 
virtual Double_t GetXmax () const
 
virtual void Paint (Option_t *option="")
 Paint this function with its current attributes. More...
 
void SetNpx (Int_t n)
 
- Public Member Functions inherited from TNamed
 TNamed ()
 
 TNamed (const char *name, const char *title)
 
 TNamed (const TString &name, const TString &title)
 
 TNamed (const TNamed &named)
 
TNamedoperator= (const TNamed &rhs)
 TNamed assignment operator. More...
 
virtual ~TNamed ()
 
virtual void Clear (Option_t *option="")
 Set name and title to empty strings (""). More...
 
virtual TObjectClone (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 SetName (const char *name)
 Change (i.e. More...
 
virtual void SetNameTitle (const char *name, const char *title)
 Change (i.e. set) all the TNamed parameters (name and title). More...
 
virtual void SetTitle (const char *title="")
 Change (i.e. set) the title of the TNamed. More...
 
virtual void ls (Option_t *option="") const
 List TNamed name and title. More...
 
virtual void Print (Option_t *option="") const
 Print TNamed name and title. More...
 
virtual Int_t Sizeof () const
 Return size of the TNamed part of the TObject. More...
 
- Public Member Functions inherited from TObject
 TObject ()
 
 TObject (const TObject &object)
 TObject copy ctor. More...
 
TObjectoperator= (const TObject &rhs)
 TObject assignment operator. More...
 
virtual ~TObject ()
 TObject destructor. 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...
 
virtual const char * ClassName () const
 Returns name of class to which the object belongs. More...
 
virtual void Delete (Option_t *option="")
 Delete this object. More...
 
virtual void DrawClass () const
 Draw class inheritance tree of the class to which this object belongs. More...
 
virtual TObjectDrawClone (Option_t *option="") const
 Draw a clone of this object in the current pad. More...
 
virtual void Dump () const
 Dump contents of object on stdout. 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 TObjectFindObject (const char *name) const
 Must be redefined in derived classes. More...
 
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes. More...
 
virtual Option_tGetDrawOption () const
 Get option used by the graphics system to draw this object. More...
 
virtual UInt_t GetUniqueID () const
 Return the unique object id. More...
 
virtual const char * GetIconName () const
 Returns mime type name of object. More...
 
virtual Option_tGetOption () const
 
virtual char * GetObjectInfo (Int_t px, Int_t py) const
 Returns string containing info about the object at position (px,py). More...
 
virtual Bool_t HandleTimer (TTimer *timer)
 Execute action in response of a timer timing out. 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...
 
virtual Bool_t IsFolder () const
 Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...
 
virtual Bool_t IsEqual (const TObject *obj) const
 Default equal comparison (objects are equal if they have the same address in memory). More...
 
Bool_t IsOnHeap () const
 
Bool_t IsZombie () const
 
virtual Bool_t Notify ()
 This method must be overridden to handle object notification. More...
 
virtual void Pop ()
 Pop on object drawn in a pad to the top of the display list. 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...
 
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 UseCurrentStyle ()
 Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. 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...
 
voidoperator new (size_t sz)
 
voidoperator new[] (size_t sz)
 
voidoperator new (size_t sz, void *vp)
 
voidoperator new[] (size_t sz, void *vp)
 
void operator delete (void *ptr)
 Operator delete. More...
 
void operator delete[] (void *ptr)
 Operator delete []. More...
 
void SetBit (UInt_t f, Bool_t set)
 Set or unset the user status bits as specified in f. More...
 
void SetBit (UInt_t f)
 
void ResetBit (UInt_t f)
 
Bool_t TestBit (UInt_t f) const
 
Int_t TestBits (UInt_t f) const
 
void InvertBit (UInt_t f)
 
virtual void Info (const char *method, const char *msgfmt,...) const
 Issue info message. More...
 
virtual void Warning (const char *method, const char *msgfmt,...) const
 Issue warning message. More...
 
virtual void Error (const char *method, const char *msgfmt,...) const
 Issue error message. More...
 
virtual void SysError (const char *method, const char *msgfmt,...) const
 Issue system error message. More...
 
virtual void Fatal (const char *method, const char *msgfmt,...) const
 Issue fatal error message. 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...
 
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...
 
void Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
 Use this method to declare a method obsolete. More...
 
- Public Member Functions inherited from TAttLine
 TAttLine ()
 AttLine default constructor. More...
 
 TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth)
 AttLine normal constructor. More...
 
virtual ~TAttLine ()
 AttLine destructor. More...
 
void Copy (TAttLine &attline) const
 Copy this line attributes to a new TAttLine. More...
 
Int_t DistancetoLine (Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2)
 Compute distance from point px,py to a line. More...
 
virtual Color_t GetLineColor () const
 
virtual Style_t GetLineStyle () const
 
virtual Width_t GetLineWidth () const
 
virtual void Modify ()
 Change current line attributes if necessary. More...
 
virtual void ResetAttLine (Option_t *option="")
 Reset this line attributes to default values. More...
 
virtual void SaveLineAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t widdef=1)
 Save line attributes as C++ statement(s) on output stream out. More...
 
virtual void SetLineAttributes ()
 Invoke the DialogCanvas Line attributes. More...
 
virtual void SetLineColor (Color_t lcolor)
 
virtual void SetLineColorAlpha (Color_t lcolor, Float_t lalpha)
 Set a transparent line color. More...
 
virtual void SetLineStyle (Style_t lstyle)
 
virtual void SetLineWidth (Width_t lwidth)
 
 ClassDef (TAttLine, 2)
 
- Public Member Functions inherited from TAttFill
 TAttFill ()
 
 TAttFill (Color_t fcolor, Style_t fstyle)
 AttFill normal constructor. More...
 
virtual ~TAttFill ()
 AttFill destructor. More...
 
void Copy (TAttFill &attfill) const
 Copy this fill attributes to a new TAttFill. More...
 
virtual Color_t GetFillColor () const
 
virtual Style_t GetFillStyle () const
 
virtual Bool_t IsTransparent () const
 
virtual void Modify ()
 Change current fill area attributes if necessary. More...
 
virtual void ResetAttFill (Option_t *option="")
 Reset this fill attributes to default values. More...
 
virtual void SaveFillAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1001)
 Save fill attributes as C++ statement(s) on output stream out. More...
 
virtual void SetFillAttributes ()
 Invoke the DialogCanvas Fill attributes. More...
 
virtual void SetFillColor (Color_t fcolor)
 
virtual void SetFillColorAlpha (Color_t fcolor, Float_t falpha)
 Set a transparent fill color. More...
 
virtual void SetFillStyle (Style_t fstyle)
 
- Public Member Functions inherited from TAttMarker
 TAttMarker ()
 
 TAttMarker (Color_t color, Style_t style, Size_t msize)
 TAttMarker normal constructor. More...
 
virtual ~TAttMarker ()
 TAttMarker destructor. More...
 
void Copy (TAttMarker &attmarker) const
 Copy this marker attributes to a new TAttMarker. More...
 
virtual Color_t GetMarkerColor () const
 
virtual Style_t GetMarkerStyle () const
 
virtual Size_t GetMarkerSize () const
 
virtual void Modify ()
 Change current marker attributes if necessary. More...
 
virtual void ResetAttMarker (Option_t *toption="")
 Reset this marker attributes to the default values. More...
 
virtual void SaveMarkerAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t sizdef=1)
 Save line attributes as C++ statement(s) on output stream out. More...
 
virtual void SetMarkerAttributes ()
 Invoke the DialogCanvas Marker attributes. More...
 
virtual void SetMarkerColor (Color_t mcolor=1)
 
virtual void SetMarkerColorAlpha (Color_t mcolor, Float_t malpha)
 Set a transparent marker color. More...
 
virtual void SetMarkerStyle (Style_t mstyle=1)
 
virtual void SetMarkerSize (Size_t msize=1)
 
 ClassDef (TAttMarker, 2)
 

Static Public Member Functions

static void Test ()
 Test method for TSpline5. More...
 
- Static Public Member Functions inherited from TObject
static Long_t GetDtorOnly ()
 Return destructor only flag. More...
 
static void SetDtorOnly (void *obj)
 Set destructor only flag. More...
 
static Bool_t GetObjectStat ()
 Get status of object stat flag. More...
 
static void SetObjectStat (Bool_t stat)
 Turn on/off tracking of objects in the TObjectTable. More...
 

Protected Member Functions

void BuildCoeff ()
 
subroutine cubspl ( tau, c, n, ibcbeg, ibcend )

from * a practical guide to splines * by c. More...

 
void SetCond (const char *opt)
 Check the boundary conditions. More...
 
- Protected Member Functions inherited from TSpline
 TSpline (const TSpline &)
 
TSplineoperator= (const TSpline &)
 assignment operator More...
 
- Protected Member Functions inherited from TObject
void MakeZombie ()
 
virtual void DoError (int level, const char *location, const char *fmt, va_list va) const
 Interface to ErrorHandler (protected). More...
 

Protected Attributes

TSplinePoly3fPoly
 
Double_t fValBeg
 
Double_t fValEnd
 
Int_t fBegCond
 
Int_t fEndCond
 
- Protected Attributes inherited from TSpline
Double_t fDelta
 
Double_t fXmin
 
Double_t fXmax
 
Int_t fNp
 
Bool_t fKstep
 
TH1FfHistogram
 
TGraphfGraph
 
Int_t fNpx
 
- Protected Attributes inherited from TNamed
TString fName
 
TString fTitle
 
- Protected Attributes inherited from TAttLine
Color_t fLineColor
 
Style_t fLineStyle
 
Width_t fLineWidth
 
- Protected Attributes inherited from TAttFill
Color_t fFillColor
 
Style_t fFillStyle
 
- Protected Attributes inherited from TAttMarker
Color_t fMarkerColor
 
Style_t fMarkerStyle
 
Size_t fMarkerSize
 

Additional Inherited Members

- Public Types inherited from TObject
enum  EStatusBits {
  kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4),
  kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13)
}
 
enum  { kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }
 
enum  { kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) }
 

#include <TSpline.h>

+ Inheritance diagram for TSpline3:
+ Collaboration diagram for TSpline3:

Constructor & Destructor Documentation

TSpline3::TSpline3 ( )
inline

Definition at line 206 of file TSpline.h.

Referenced by Test().

TSpline3::TSpline3 ( const char *  title,
Double_t  x[],
Double_t  y[],
Int_t  n,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given an array of arbitrary knots in increasing abscissa order and possibly end point conditions.

Definition at line 381 of file TSpline.cxx.

TSpline3::TSpline3 ( const char *  title,
Double_t  xmin,
Double_t  xmax,
Double_t  y[],
Int_t  n,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given an array of arbitrary function values on equidistant n abscissa values from xmin to xmax and possibly end point conditions.

Definition at line 409 of file TSpline.cxx.

TSpline3::TSpline3 ( const char *  title,
Double_t  x[],
const TF1 func,
Int_t  n,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given an array of arbitrary abscissas in increasing order and a function to interpolate and possibly end point conditions.

Definition at line 440 of file TSpline.cxx.

TSpline3::TSpline3 ( const char *  title,
Double_t  xmin,
Double_t  xmax,
const TF1 func,
Int_t  n,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given a function to be evaluated on n equidistand abscissa points between xmin and xmax and possibly end point conditions.

Definition at line 470 of file TSpline.cxx.

TSpline3::TSpline3 ( const char *  title,
const TGraph g,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given a TGraph with abscissa in increasing order and possibly end point conditions.

Definition at line 505 of file TSpline.cxx.

TSpline3::TSpline3 ( const TH1 h,
const char *  opt = 0,
Double_t  valbeg = 0,
Double_t  valend = 0 
)

Third spline creator given a TH1.

Definition at line 537 of file TSpline.cxx.

TSpline3::TSpline3 ( const TSpline3 sp3)

copy constructor

Definition at line 566 of file TSpline.cxx.

virtual TSpline3::~TSpline3 ( )
inlinevirtual

Definition at line 232 of file TSpline.h.

Member Function Documentation

void TSpline3::BuildCoeff ( void  )
protectedvirtual

subroutine cubspl ( tau, c, n, ibcbeg, ibcend )

from * a practical guide to splines * by c.

de boor ************************ input *************************** n = number of data points. assumed to be .ge. 2. (tau(i), c(1,i), i=1,...,n) = abscissae and ordinates of the data points. tau is assumed to be strictly increasing. ibcbeg, ibcend = boundary condition indicators, and c(2,1), c(2,n) = boundary condition information. specifically, ibcbeg = 0 means no boundary condition at tau(1) is given. in this case, the not-a-knot condition is used, i.e. the jump in the third derivative across tau(2) is forced to zero, thus the first and the second cubic polynomial pieces are made to coincide.) ibcbeg = 1 means that the slope at tau(1) is made to equal c(2,1), supplied by input. ibcbeg = 2 means that the second derivative at tau(1) is made to equal c(2,1), supplied by input. ibcend = 0, 1, or 2 has analogous meaning concerning the boundary condition at tau(n), with the additional infor- mation taken from c(2,n). *********************** output ************************** c(j,i), j=1,...,4; i=1,...,l (= n-1) = the polynomial coefficients of the cubic interpolating spline with interior knots (or joints) tau(2), ..., tau(n-1). precisely, in the interval (tau(i), tau(i+1)), the spline f is given by f(x) = c(1,i)+h*(c(2,i)+h*(c(3,i)+h*c(4,i)/3.)/2.) where h = x - tau(i). the function program ppvalu may be used to evaluate f or its derivatives from tau,c, l = n-1, and k=4.

Implements TSpline.

Definition at line 1080 of file TSpline.cxx.

Referenced by TSpline3().

Double_t TSpline3::Derivative ( Double_t  x) const

Derivative.

Definition at line 829 of file TSpline.cxx.

Double_t TSpline3::Eval ( Double_t  x) const
virtual

Eval this spline at x.

Implements TSpline.

Definition at line 818 of file TSpline.cxx.

Referenced by TGraph::Eval(), TUnfold::ScanLcurve(), and TUnfoldDensity::ScanTau().

Int_t TSpline3::FindX ( Double_t  x) const

Find X.

Definition at line 775 of file TSpline.cxx.

Referenced by Derivative(), and Eval().

void TSpline3::GetCoeff ( Int_t  i,
Double_t x,
Double_t y,
Double_t b,
Double_t c,
Double_t d 
)
inline

Definition at line 233 of file TSpline.h.

Referenced by TUnfold::ScanLcurve(), TUnfoldDensity::ScanTau(), and Test().

void TSpline3::GetKnot ( Int_t  i,
Double_t x,
Double_t y 
) const
inlinevirtual

Implements TSpline.

Definition at line 236 of file TSpline.h.

TSpline3 & TSpline3::operator= ( const TSpline3 sp3)

assignment operator

Definition at line 583 of file TSpline.cxx.

void TSpline3::SaveAs ( const char *  filename,
Option_t option = "" 
) const
virtual

write this spline as a C++ function that can be executed without ROOT the name of the function is the name of the file up to the "." if any

Reimplemented from TSpline.

Definition at line 841 of file TSpline.cxx.

void TSpline3::SavePrimitive ( std::ostream &  out,
Option_t option = "" 
)
virtual

Save primitive as a C++ statement(s) on output stream out.

Reimplemented from TObject.

Definition at line 1001 of file TSpline.cxx.

void TSpline3::SetCond ( const char *  opt)
protected

Check the boundary conditions.

Definition at line 604 of file TSpline.cxx.

Referenced by TSpline3().

void TSpline3::SetPoint ( Int_t  i,
Double_t  x,
Double_t  y 
)
virtual

set point number i.

Definition at line 1031 of file TSpline.cxx.

void TSpline3::SetPointCoeff ( Int_t  i,
Double_t  b,
Double_t  c,
Double_t  d 
)
virtual

set point coefficient number i

Definition at line 1041 of file TSpline.cxx.

void TSpline3::Test ( )
static

Test method for TSpline5.

n number of data points. m 2*m-1 is order of spline. m = 2 always for third spline. nn,nm1,mm, mm1,i,k, j,jj temporary integer variables. z,p temporary double precision variables. x[n] the sequence of knots. y[n] the prescribed function values at the knots. a[200][4] two dimensional array whose columns are the computed spline coefficients diff[3] maximum values of differences of values and derivatives to right and left of knots. com[3] maximum values of coefficients.

test of TSpline3 with nonequidistant knots and equidistant knots follows.

Definition at line 643 of file TSpline.cxx.

Member Data Documentation

Int_t TSpline3::fBegCond
protected

Definition at line 199 of file TSpline.h.

Referenced by BuildCoeff(), operator=(), and SetCond().

Int_t TSpline3::fEndCond
protected

Definition at line 200 of file TSpline.h.

Referenced by BuildCoeff(), operator=(), and SetCond().

TSplinePoly3* TSpline3::fPoly
protected
Double_t TSpline3::fValBeg
protected

Definition at line 197 of file TSpline.h.

Referenced by BuildCoeff(), operator=(), and SavePrimitive().

Double_t TSpline3::fValEnd
protected

Definition at line 198 of file TSpline.h.

Referenced by BuildCoeff(), operator=(), and SavePrimitive().


The documentation for this class was generated from the following files: