Base class for spline implementation containing the Draw/Paint methods.

Definition at line 29 of file TSpline.h.

Public Member Functions
	TSpline ()

	TSpline (const char *title, Double_t delta, Double_t xmin, Double_t xmax, Int_t np, Bool_t step)

	~TSpline () override
	Destructor.

Int_t	DistancetoPrimitive (Int_t px, Int_t py) override
	Compute distance from point px,py to a spline.

void	Draw (Option_t *option="") override
	Draw this function with its current attributes.

virtual Double_t	Eval (Double_t x) const =0

void	ExecuteEvent (Int_t event, Int_t px, Int_t py) override
	Execute action corresponding to one event.

virtual Double_t	GetDelta () const

TH1F *	GetHistogram () const

virtual void	GetKnot (Int_t i, Double_t &x, Double_t &y) const =0

virtual Int_t	GetNp () const

virtual Int_t	GetNpx () const

virtual Double_t	GetXmax () const

virtual Double_t	GetXmin () const

TClass *	IsA () const override

void	Paint (Option_t *option="") override
	Paint this function with its current attributes.

void	SaveAs (const char , Option_t ) const override
	Save this object in the file specified by filename.

void	SetNpx (Int_t n)

void	Streamer (TBuffer &) override
	Stream an object of class TSpline.

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.

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 void	SetTitle (const char *title="")
	Set the title of the TNamed.

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the 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.

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action.

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 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	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).

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).

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	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	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.

Public Member Functions inherited from TAttLine
	TAttLine ()
	AttLine default constructor.

	TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth)
	AttLine normal constructor.

virtual	~TAttLine ()
	AttLine destructor.

void	Copy (TAttLine &attline) const
	Copy this line attributes to a new TAttLine.

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.

virtual Color_t	GetLineColor () const
	Return the line color.

virtual Style_t	GetLineStyle () const
	Return the line style.

virtual Width_t	GetLineWidth () const
	Return the line width.

virtual void	Modify ()
	Change current line attributes if necessary.

virtual void	ResetAttLine (Option_t *option="")
	Reset this line attributes to default values.

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.

virtual void	SetLineAttributes ()
	Invoke the DialogCanvas Line attributes.

virtual void	SetLineColor (Color_t lcolor)
	Set the line color.

virtual void	SetLineColorAlpha (Color_t lcolor, Float_t lalpha)
	Set a transparent line color.

virtual void	SetLineStyle (Style_t lstyle)
	Set the line style.

virtual void	SetLineWidth (Width_t lwidth)
	Set the line width.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TAttFill
	TAttFill ()
	AttFill default constructor.

	TAttFill (Color_t fcolor, Style_t fstyle)
	AttFill normal constructor.

virtual	~TAttFill ()
	AttFill destructor.

void	Copy (TAttFill &attfill) const
	Copy this fill attributes to a new TAttFill.

virtual Color_t	GetFillColor () const
	Return the fill area color.

virtual Style_t	GetFillStyle () const
	Return the fill area style.

virtual Bool_t	IsTransparent () const

virtual void	Modify ()
	Change current fill area attributes if necessary.

virtual void	ResetAttFill (Option_t *option="")
	Reset this fill attributes to default values.

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.

virtual void	SetFillAttributes ()
	Invoke the DialogCanvas Fill attributes.

virtual void	SetFillColor (Color_t fcolor)
	Set the fill area color.

virtual void	SetFillColorAlpha (Color_t fcolor, Float_t falpha)
	Set a transparent fill color.

virtual void	SetFillStyle (Style_t fstyle)
	Set the fill area style.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TAttMarker
	TAttMarker ()
	TAttMarker default constructor.

	TAttMarker (Color_t color, Style_t style, Size_t msize)
	TAttMarker normal constructor.

virtual	~TAttMarker ()
	TAttMarker destructor.

void	Copy (TAttMarker &attmarker) const
	Copy this marker attributes to a new TAttMarker.

virtual Color_t	GetMarkerColor () const
	Return the marker color.

virtual Size_t	GetMarkerSize () const
	Return the marker size.

virtual Style_t	GetMarkerStyle () const
	Return the marker style.

virtual void	Modify ()
	Change current marker attributes if necessary.

virtual void	ResetAttMarker (Option_t *toption="")
	Reset this marker attributes to the default values.

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.

virtual void	SetMarkerAttributes ()
	Invoke the DialogCanvas Marker attributes.

virtual void	SetMarkerColor (Color_t mcolor=1)
	Set the marker color.

virtual void	SetMarkerColorAlpha (Color_t mcolor, Float_t malpha)
	Set a transparent marker color.

virtual void	SetMarkerSize (Size_t msize=1)
	Set the marker size.

virtual void	SetMarkerStyle (Style_t mstyle=1)
	Set the marker style.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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 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.

Static Public Member Functions inherited from TAttLine
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TAttFill
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TAttMarker
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Width_t	GetMarkerLineWidth (Style_t style)
	Internal helper function that returns the line width of the given marker style (0 = filled marker)

static Style_t	GetMarkerStyleBase (Style_t style)
	Internal helper function that returns the corresponding marker style with line width 1 for the given style.

Protected Member Functions
	TSpline (const TSpline &)
	Copy constructor.

virtual void	BuildCoeff ()=0

TSpline &	operator= (const TSpline &)
	Assignment operator.

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
Double_t	fDelta
	Distance between equidistant knots.

TGraph *	fGraph
	Graph for drawing the knots.

TH1F *	fHistogram
	Temporary histogram.

Bool_t	fKstep
	True of equidistant knots.

Int_t	fNp
	Number of knots.

Int_t	fNpx
	Number of points used for graphical representation.

Double_t	fXmax
	Maximum value of abscissa.

Double_t	fXmin
	Minimum value of abscissa.

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Protected Attributes inherited from TAttLine
Color_t	fLineColor
	Line color.

Style_t	fLineStyle
	Line style.

Width_t	fLineWidth
	Line width.

Protected Attributes inherited from TAttFill
Color_t	fFillColor
	Fill area color.

Style_t	fFillStyle
	Fill area style.

Protected Attributes inherited from TAttMarker
Color_t	fMarkerColor
	Marker color.

Size_t	fMarkerSize
	Marker size.

Style_t	fMarkerStyle
	Marker style.

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 TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

#include <TSpline.h>

Inheritance diagram for TSpline:

[legend]

Constructor & Destructor Documentation

◆ TSpline() [1/3]

TSpline::TSpline ( const TSpline & sp )

protected

Copy constructor.

Definition at line 41 of file TSpline.cxx.

◆ TSpline() [2/3]

TSpline::TSpline ( )

inline

Definition at line 47 of file TSpline.h.

◆ TSpline() [3/3]

TSpline::TSpline	(	const char *	title,
		Double_t	delta,
		Double_t	xmin,
		Double_t	xmax,
		Int_t	np,
		Bool_t	step
	)

inline

Definition at line 49 of file TSpline.h.

◆ ~TSpline()

TSpline::~TSpline ( )

override

Destructor.

Definition at line 60 of file TSpline.cxx.

Member Function Documentation

◆ BuildCoeff()

virtual void TSpline::BuildCoeff ( )

protectedpure virtual

Implemented in TSpline3, TSpline5, TMVA::TSpline1, and TMVA::TSpline2.

◆ Class()

static TClass * TSpline::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * TSpline::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t TSpline::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 72 of file TSpline.h.

◆ DeclFileName()

static const char * TSpline::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 72 of file TSpline.h.

◆ DistancetoPrimitive()

Int_t TSpline::DistancetoPrimitive	(	Int_t	px,
		Int_t	py
	)

overridevirtual

Compute distance from point px,py to a spline.

Reimplemented from TObject.

Definition at line 113 of file TSpline.cxx.

◆ Draw()

void TSpline::Draw ( Option_t * option = "" )

overridevirtual

Draw this function with its current attributes.

Possible option values are:

"SAME" superimpose on top of existing picture
"L" connect all computed points with a straight line
"C" connect all computed points with a smooth curve.
"P" add a polymarker at each knot

Note that the default value is "L". Therefore to draw on top of an existing picture, specify option "LSAME"

Reimplemented from TObject.

Definition at line 101 of file TSpline.cxx.

◆ Eval()

virtual Double_t TSpline::Eval ( Double_t x ) const

pure virtual

Implemented in TMVA::TSpline1, TMVA::TSpline2, TSpline3, and TSpline5.

◆ ExecuteEvent()

void TSpline::ExecuteEvent	(	Int_t	event,
		Int_t	px,
		Int_t	py
	)

overridevirtual

Execute action corresponding to one event.

Reimplemented from TObject.

Definition at line 122 of file TSpline.cxx.

◆ GetDelta()

virtual Double_t TSpline::GetDelta ( ) const

inlinevirtual

Definition at line 61 of file TSpline.h.

◆ GetHistogram()

TH1F * TSpline::GetHistogram ( ) const

inline

Definition at line 62 of file TSpline.h.

◆ GetKnot()

virtual void TSpline::GetKnot	(	Int_t	i,
		Double_t &	x,
		Double_t &	y
	)		const

pure virtual

Implemented in TMVA::TSpline1, TMVA::TSpline2, TSpline3, and TSpline5.

◆ GetNp()

virtual Int_t TSpline::GetNp ( ) const

inlinevirtual

Definition at line 63 of file TSpline.h.

◆ GetNpx()

virtual Int_t TSpline::GetNpx ( ) const

inlinevirtual

Definition at line 64 of file TSpline.h.

◆ GetXmax()

virtual Double_t TSpline::GetXmax ( ) const

inlinevirtual

Definition at line 66 of file TSpline.h.

◆ GetXmin()

virtual Double_t TSpline::GetXmin ( ) const

inlinevirtual

Definition at line 65 of file TSpline.h.

◆ IsA()

TClass * TSpline::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TNamed.

Reimplemented in TMVA::TSpline1, TMVA::TSpline2, TSpline3, and TSpline5.

Definition at line 72 of file TSpline.h.

◆ operator=()

TSpline & TSpline::operator= ( const TSpline & sp )

protected

Assignment operator.

Definition at line 69 of file TSpline.cxx.

◆ Paint()

void TSpline::Paint ( Option_t * option = "" )

overridevirtual

Paint this function with its current attributes.

Reimplemented from TObject.

Definition at line 131 of file TSpline.cxx.

◆ SaveAs()

void TSpline::SaveAs	(	const char *	filename,
		Option_t *	option
	)		const

inlineoverridevirtual

Save this object in the file specified by filename.

if "filename" contains ".root" the object is saved in filename as root binary file.
if "filename" contains ".xml" the object is saved in filename as a xml ascii file.
if "filename" contains ".cc" the object is saved in filename as C code independant from ROOT. The code is generated via SavePrimitive(). Specific code should be implemented in each object to handle this option. Like in TF1::SavePrimitive().
otherwise the object is written to filename as a CINT/C++ script. The C++ code to rebuild this object is generated via SavePrimitive(). The "option" parameter is passed to SavePrimitive. By default it is an empty string. It can be used to specify the Draw option in the code generated by SavePrimitive.

The function is available via the object context menu.

Reimplemented from TObject.

Reimplemented in TSpline3, and TSpline5.

Definition at line 69 of file TSpline.h.

◆ SetNpx()

void TSpline::SetNpx ( Int_t n )

inline

Definition at line 70 of file TSpline.h.

◆ Streamer()

void TSpline::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TSpline.

Reimplemented from TNamed.

Reimplemented in TMVA::TSpline1, TMVA::TSpline2, TSpline3, and TSpline5.

Definition at line 231 of file TSpline.cxx.

◆ StreamerNVirtual()

void TSpline::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 72 of file TSpline.h.

Member Data Documentation

◆ fDelta

Double_t TSpline::fDelta

protected

Distance between equidistant knots.

Definition at line 33 of file TSpline.h.

◆ fGraph

TGraph* TSpline::fGraph

protected

Graph for drawing the knots.

Definition at line 39 of file TSpline.h.

◆ fHistogram

TH1F* TSpline::fHistogram

protected

Temporary histogram.

Definition at line 38 of file TSpline.h.

◆ fKstep

Bool_t TSpline::fKstep

protected

True of equidistant knots.

Definition at line 37 of file TSpline.h.

◆ fNp

Int_t TSpline::fNp

protected

Number of knots.

Definition at line 36 of file TSpline.h.

◆ fNpx

Int_t TSpline::fNpx

protected

Number of points used for graphical representation.

Definition at line 40 of file TSpline.h.

◆ fXmax

Double_t TSpline::fXmax

protected

Maximum value of abscissa.

Definition at line 35 of file TSpline.h.

◆ fXmin

Double_t TSpline::fXmin

protected

Minimum value of abscissa.

Definition at line 34 of file TSpline.h.

Libraries for TSpline:

[legend]

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

hist/hist/inc/TSpline.h
hist/hist/src/TSpline.cxx

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TSpline() [1/3]

◆ TSpline() [2/3]

◆ TSpline() [3/3]

◆ ~TSpline()

Member Function Documentation

◆ BuildCoeff()

◆ Class()

◆ Class_Name()

◆ Class_Version()

◆ DeclFileName()

◆ DistancetoPrimitive()

◆ Draw()

◆ Eval()

◆ ExecuteEvent()

◆ GetDelta()

◆ GetHistogram()

◆ GetKnot()

◆ GetNp()

◆ GetNpx()

◆ GetXmax()

◆ GetXmin()

◆ IsA()

◆ operator=()

◆ Paint()

◆ SaveAs()

◆ SetNpx()

◆ Streamer()

◆ StreamerNVirtual()

Member Data Documentation

◆ fDelta

◆ fGraph

◆ fHistogram

◆ fKstep

◆ fNp

◆ fNpx

◆ fXmax

◆ fXmin