A parametric surface is a surface defined by a parametric equation, involving two parameters (u, v):

S(u, v) = (x(u, v), y(u, v), z(u, v)).

y

Double_t y[n]

Definition legend1.C:17

x

Double_t x[n]

Definition legend1.C:17

v

@ v

Definition rootcling_impl.cxx:3699

For example, "limpet torus" surface can be defined as:

x = cos(u) / (sqrt(2) + sin(v))
y = sin(u) / (sqrt(2) + sin(v))
z = 1 / (sqrt(2) + cos(v)),

where -pi <= u <= pi, -pi <= v <= pi.

TGLParametricEquation * eq =
   new TGLParametricEquation("Limpet_torus", "cos(u) / (sqrt(2.) + sin(v))",
                             "sin(u) / (sqrt(2.) + sin(v))",
                             "1 / (sqrt(2) + cos(v))");

$ROOTSYS/tutorials/gl/glparametric.C contains more examples.

Parametric equations can be specified:

1. by string expressions, as with TF2, but with 'u' instead of 'x' and 'v' instead of 'y'.
2. by function - see ParametricEquation_t declaration.

Definition at line 35 of file TGLParametric.h.

Public Member Functions
	TGLParametricEquation (const TString &name, const TString &xEquation, const TString &yEquation, const TString &zEquation, Double_t uMin, Double_t uMax, Double_t vMin, Double_t vMax)
	Surface is defined by three strings.

	TGLParametricEquation (const TString &name, ParametricEquation_t equation, Double_t uMin, Double_t uMax, Double_t vMin, Double_t vMax)
	Surface defined by user's function (see ParametricEquation_t declaration in TGLParametricEquation.h)

Int_t	DistancetoPrimitive (Int_t px, Int_t py) override
	Check, if parametric surface is under cursor.

void	EvalVertex (TGLVertex3 &newVertex, Double_t u, Double_t v) const
	Calculate vertex.

void	ExecuteEvent (Int_t event, Int_t px, Int_t py) override
	Pass event to painter.

char *	GetObjectInfo (Int_t px, Int_t py) const override
	No object info yet.

Rgl::Range_t	GetURange () const
	[uMin, uMax]

Rgl::Range_t	GetVRange () const
	[vMin, vMax]

TClass *	IsA () const override

Bool_t	IsConstrained () const
	Check is constrained.

Bool_t	IsModified () const
	Something was changed in parametric equation (or constrained option was changed).

void	Paint (Option_t *option) override
	Delegate paint.

void	SetConstrained (Bool_t c)
	Set constrained.

void	SetModified (Bool_t m)
	Set modified.

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

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor.

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor.

void	Clear (Option_t *option="") override
	Set name and title to empty strings ("").

TObject *	Clone (const char *newname="") const override
	Make a clone of an object using the Streamer facility.

Int_t	Compare (const TObject *obj) const override
	Compare two TNamed objects.

void	Copy (TObject &named) const override
	Copy this to obj.

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer.

const char *	GetName () const override
	Returns name of object.

const char *	GetTitle () const override
	Returns title of object.

ULong_t	Hash () const override
	Return hash value for this object.

TClass *	IsA () const override

Bool_t	IsSortable () const override

void	ls (Option_t *option="") const override
	List TNamed name and title.

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator.

void	Print (Option_t *option="") const override
	Print TNamed name and title.

virtual void	SetName (const char *name)
	Set the name of the TNamed.

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title).

virtual 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	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor.

	TObject (const TObject &object)
	TObject copy ctor.

virtual	~TObject ()
	TObject destructor.

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract.

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad.

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	Draw (Option_t *option="")
	Default Draw method for all objects.

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs.

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

virtual void	Dump () const
	Dump contents of object on stdout.

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message.

virtual void	Execute (const char method, const char params, Int_t *error=nullptr)
	Execute method on this object with the given parameter string, e.g.

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=nullptr)
	Execute method on this object with parameters stored in the TObjArray.

virtual void	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 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 (the base implementation is no-op).

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete.

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

void	operator delete[] (void *ptr)
	Operator delete [].

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator.

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list.

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory.

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list.

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename.

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out".

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f.

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object.

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message.

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory.

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from 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.

Private Types
typedef std::unique_ptr< TGLHistPainter >	Painter_t

typedef std::unique_ptr< TF2 >	Ptr_t

Private Member Functions
	TGLParametricEquation (const TGLParametricEquation &)

TGLParametricEquation &	operator= (const TGLParametricEquation &)

Private Attributes
Bool_t	fConstrained

ParametricEquation_t	fEquation

Bool_t	fModified

Painter_t	fPainter

Rgl::Range_t	fURange

Rgl::Range_t	fVRange

Ptr_t	fXEquation

Ptr_t	fYEquation

Ptr_t	fZEquation

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 )) }

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 inherited from TNamed
TString	fName

TString	fTitle

#include <TGLParametric.h>

Inheritance diagram for TGLParametricEquation:

[legend]

Member Typedef Documentation

◆ Painter_t

typedef std::unique_ptr<TGLHistPainter> TGLParametricEquation::Painter_t

private

Definition at line 51 of file TGLParametric.h.

◆ Ptr_t

typedef std::unique_ptr<TF2> TGLParametricEquation::Ptr_t

private

Definition at line 37 of file TGLParametric.h.

Constructor & Destructor Documentation

◆ TGLParametricEquation() [1/3]

TGLParametricEquation::TGLParametricEquation	(	const TString &	name,
		const TString &	xFun,
		const TString &	yFun,
		const TString &	zFun,
		Double_t	uMin,
		Double_t	uMax,
		Double_t	vMin,
		Double_t	vMax
	)

Surface is defined by three strings.

ROOT does not use exceptions in ctors, so, I have to use MakeZombie to let external user know about errors.

Definition at line 123 of file TGLParametric.cxx.

◆ TGLParametricEquation() [2/3]

TGLParametricEquation::TGLParametricEquation	(	const TString &	name,
		ParametricEquation_t	equation,
		Double_t	uMin,
		Double_t	uMax,
		Double_t	vMin,
		Double_t	vMax
	)

Surface defined by user's function (see ParametricEquation_t declaration in TGLParametricEquation.h)

Definition at line 171 of file TGLParametric.cxx.

◆ TGLParametricEquation() [3/3]

TGLParametricEquation::TGLParametricEquation ( const TGLParametricEquation & )

private

Member Function Documentation

◆ Class()

static TClass * TGLParametricEquation::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * TGLParametricEquation::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t TGLParametricEquation::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 85 of file TGLParametric.h.

◆ DeclFileName()

static const char * TGLParametricEquation::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 85 of file TGLParametric.h.

◆ DistancetoPrimitive()

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

overridevirtual

Check, if parametric surface is under cursor.

Reimplemented from TObject.

Definition at line 253 of file TGLParametric.cxx.

◆ EvalVertex()

void TGLParametricEquation::EvalVertex	(	TGLVertex3 &	newVertex,
		Double_t	u,
		Double_t	v
	)		const

Calculate vertex.

Definition at line 237 of file TGLParametric.cxx.

◆ ExecuteEvent()

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

overridevirtual

Pass event to painter.

Reimplemented from TObject.

Definition at line 263 of file TGLParametric.cxx.

◆ GetObjectInfo()

char * TGLParametricEquation::GetObjectInfo	(	Int_t	px,
		Int_t	py
	)		const

overridevirtual

No object info yet.

Reimplemented from TObject.

Definition at line 272 of file TGLParametric.cxx.

◆ GetURange()

Rgl::Range_t TGLParametricEquation::GetURange ( ) const

[uMin, uMax]

Definition at line 189 of file TGLParametric.cxx.

◆ GetVRange()

Rgl::Range_t TGLParametricEquation::GetVRange ( ) const

[vMin, vMax]

Definition at line 197 of file TGLParametric.cxx.

◆ IsA()

TClass * TGLParametricEquation::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TObject.

Definition at line 85 of file TGLParametric.h.

◆ IsConstrained()

Bool_t TGLParametricEquation::IsConstrained ( ) const

Check is constrained.

Definition at line 205 of file TGLParametric.cxx.

◆ IsModified()

Bool_t TGLParametricEquation::IsModified ( ) const

Something was changed in parametric equation (or constrained option was changed).

Definition at line 221 of file TGLParametric.cxx.

◆ operator=()

TGLParametricEquation & TGLParametricEquation::operator= ( const TGLParametricEquation & )

private

◆ Paint()

void TGLParametricEquation::Paint ( Option_t * option )

overridevirtual

Delegate paint.

Reimplemented from TObject.

Definition at line 281 of file TGLParametric.cxx.

◆ SetConstrained()

void TGLParametricEquation::SetConstrained ( Bool_t c )

Set constrained.

Definition at line 213 of file TGLParametric.cxx.

◆ SetModified()

void TGLParametricEquation::SetModified ( Bool_t m )

Set modified.

Definition at line 229 of file TGLParametric.cxx.

◆ Streamer()

void TGLParametricEquation::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TObject.

Reimplemented from TObject.

◆ StreamerNVirtual()

void TGLParametricEquation::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 85 of file TGLParametric.h.

Member Data Documentation

◆ fConstrained

Bool_t TGLParametricEquation::fConstrained

private

Definition at line 48 of file TGLParametric.h.

◆ fEquation

ParametricEquation_t TGLParametricEquation::fEquation

private

Definition at line 43 of file TGLParametric.h.

◆ fModified

Bool_t TGLParametricEquation::fModified

private

Definition at line 49 of file TGLParametric.h.

◆ fPainter

Painter_t TGLParametricEquation::fPainter

private

Definition at line 54 of file TGLParametric.h.

◆ fURange

Rgl::Range_t TGLParametricEquation::fURange

private

Definition at line 45 of file TGLParametric.h.

◆ fVRange

Rgl::Range_t TGLParametricEquation::fVRange

private

Definition at line 46 of file TGLParametric.h.

◆ fXEquation

Ptr_t TGLParametricEquation::fXEquation

private

Definition at line 39 of file TGLParametric.h.

◆ fYEquation

Ptr_t TGLParametricEquation::fYEquation

private

Definition at line 40 of file TGLParametric.h.

◆ fZEquation

Ptr_t TGLParametricEquation::fZEquation

private

Definition at line 41 of file TGLParametric.h.

Libraries for TGLParametricEquation:

[legend]

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

graf3d/gl/inc/TGLParametric.h
graf3d/gl/src/TGLParametric.cxx

Public Member Functions

Static Public Member Functions

Private Types

Private Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ Painter_t

◆ Ptr_t

Constructor & Destructor Documentation

◆ TGLParametricEquation() [1/3]

◆ TGLParametricEquation() [2/3]

◆ TGLParametricEquation() [3/3]

Member Function Documentation

◆ Class()

◆ Class_Name()

◆ Class_Version()

◆ DeclFileName()

◆ DistancetoPrimitive()

◆ EvalVertex()

◆ ExecuteEvent()

◆ GetObjectInfo()

◆ GetURange()

◆ GetVRange()

◆ IsA()

◆ IsConstrained()

◆ IsModified()

◆ operator=()

◆ Paint()

◆ SetConstrained()

◆ SetModified()

◆ Streamer()

◆ StreamerNVirtual()

Member Data Documentation

◆ fConstrained

◆ fEquation

◆ fModified

◆ fPainter

◆ fURange

◆ fVRange

◆ fXEquation

◆ fYEquation

◆ fZEquation