This class defines a complete surface of revolution.
The surface is obtained by rotating a curve a complete revolution
about an axis. The curve and the axis must be in the same plane.
If the curve and the axis are not in the same plane it is always
possible to be in the previous case after a cylindrical projection
of the curve in a referenced plane.
For a complete surface of revolution the parametric range is
0 <= U <= 2*PI. –
The parametric range for V is defined with the revolved curve.
The origin of the U parametrization is given by the position
of the revolved curve (reference). The direction of the revolution
axis defines the positive sense of rotation (trigonometric sense)
corresponding to the increasing of the parametric value U.
The derivatives are always defined for the u direction.
For the v direction the definition of the derivatives depends on
the degree of continuity of the referenced curve.
More...

#include <Adaptor3d_SurfaceOfRevolution.hxx>

Inheritance diagram for Adaptor3d_SurfaceOfRevolution:

[legend]

Public Member Functions
	Adaptor3d_SurfaceOfRevolution ()

	Adaptor3d_SurfaceOfRevolution (const Handle< Adaptor3d_HCurve > &C)
	The Curve is loaded. More...

	Adaptor3d_SurfaceOfRevolution (const Handle< Adaptor3d_HCurve > &C, const gp_Ax1 &V)
	The Curve and the Direction are loaded. More...

void	Load (const Handle< Adaptor3d_HCurve > &C)
	Changes the Curve More...

void	Load (const gp_Ax1 &V)
	Changes the Direction More...

gp_Ax1	AxeOfRevolution () const

Standard_Real	FirstUParameter () const

Standard_Real	LastUParameter () const

Standard_Real	FirstVParameter () const

Standard_Real	LastVParameter () const

GeomAbs_Shape	UContinuity () const

GeomAbs_Shape	VContinuity () const
	Return CN. More...

Standard_Integer	NbUIntervals (const GeomAbs_Shape S) const
	Returns the number of U intervals for continuity <S>. May be one if UContinuity(me) >= <S> More...

Standard_Integer	NbVIntervals (const GeomAbs_Shape S) const
	Returns the number of V intervals for continuity <S>. May be one if VContinuity(me) >= <S> More...

void	UIntervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const
	Returns the intervals with the requested continuity in the U direction. More...

void	VIntervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const
	Returns the intervals with the requested continuity in the V direction. More...

Handle_Adaptor3d_HSurface	UTrim (const Standard_Real First, const Standard_Real Last, const Standard_Real Tol) const
	Returns a surface trimmed in the U direction equivalent of <me> between parameters <First> and <Last>. <Tol> is used to test for 3d points confusion. //! If <First> >= <Last> More...

Handle_Adaptor3d_HSurface	VTrim (const Standard_Real First, const Standard_Real Last, const Standard_Real Tol) const
	Returns a surface trimmed in the V direction between parameters <First> and <Last>. <Tol> is used to test for 3d points confusion. //! If <First> >= <Last> More...

Standard_Boolean	IsUClosed () const

Standard_Boolean	IsVClosed () const

Standard_Boolean	IsUPeriodic () const

Standard_Real	UPeriod () const

Standard_Boolean	IsVPeriodic () const

Standard_Real	VPeriod () const

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameters U,V on the surface. More...

void	D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
	Computes the point of parameters U,V on the surface. More...

void	D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
	Computes the point and the first derivatives on <br> the surface. //! Raised if the continuity of the current intervals is not C1. More...

void	D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const
	Computes the point, the first and second <br> derivatives on the surface. //! Raised if the continuity of the current intervals is not C2. More...

void	D3 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D3U, gp_Vec &D3V, gp_Vec &D3UUV, gp_Vec &D3UVV) const
	Computes the point, the first, second and third <br> derivatives on the surface. //! Raised if the continuity of the current intervals is not C3. More...

gp_Vec	DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const
	Computes the derivative of order Nu <br> in the direction U and Nv in the direction V at the point P(U, V). //! Raised if the current U interval is not not CNu and the current V interval is not CNv. //! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. More...

Standard_Real	UResolution (const Standard_Real R3d) const
	Returns the parametric U resolution corresponding to the real space resolution <R3d>. More...

Standard_Real	VResolution (const Standard_Real R3d) const
	Returns the parametric V resolution corresponding to the real space resolution <R3d>. More...

GeomAbs_SurfaceType	GetType () const
	Returns the type of the surface : Plane, Cylinder, Cone, Sphere, Torus, BezierSurface, BSplineSurface, SurfaceOfRevolution, SurfaceOfExtrusion, OtherSurface More...

gp_Pln	Plane () const

gp_Cylinder	Cylinder () const

gp_Cone	Cone () const
	Apex of the Cone = Cone.Position().Location() ==> ReferenceRadius = 0. More...

gp_Sphere	Sphere () const

gp_Torus	Torus () const

Standard_Integer	UDegree () const

Standard_Integer	NbUPoles () const

Standard_Integer	VDegree () const

Standard_Integer	NbVPoles () const

Standard_Integer	NbUKnots () const

Standard_Integer	NbVKnots () const

Standard_Boolean	IsURational () const

Standard_Boolean	IsVRational () const

Handle_Geom_BezierSurface	Bezier () const

Handle_Geom_BSplineSurface	BSpline () const

gp_Ax3	Axis () const

gp_Dir	Direction () const

Handle_Adaptor3d_HCurve	BasisCurve () const

Public Member Functions inherited from Adaptor3d_Surface
virtual void	Delete ()

virtual	~Adaptor3d_Surface ()

virtual Handle_Adaptor3d_HSurface	BasisSurface () const

virtual Standard_Real	OffsetValue () const

Detailed Description

This class defines a complete surface of revolution.
The surface is obtained by rotating a curve a complete revolution
about an axis. The curve and the axis must be in the same plane.
If the curve and the axis are not in the same plane it is always
possible to be in the previous case after a cylindrical projection
of the curve in a referenced plane.
For a complete surface of revolution the parametric range is
0 <= U <= 2*PI. –
The parametric range for V is defined with the revolved curve.
The origin of the U parametrization is given by the position
of the revolved curve (reference). The direction of the revolution
axis defines the positive sense of rotation (trigonometric sense)
corresponding to the increasing of the parametric value U.
The derivatives are always defined for the u direction.
For the v direction the definition of the derivatives depends on
the degree of continuity of the referenced curve.

Constructor & Destructor Documentation

Adaptor3d_SurfaceOfRevolution::Adaptor3d_SurfaceOfRevolution ( )

Adaptor3d_SurfaceOfRevolution::Adaptor3d_SurfaceOfRevolution ( const Handle< Adaptor3d_HCurve > & C )

The Curve is loaded.

Adaptor3d_SurfaceOfRevolution::Adaptor3d_SurfaceOfRevolution	(	const Handle< Adaptor3d_HCurve > &	C,
		const gp_Ax1 &	V
	)

The Curve and the Direction are loaded.

Member Function Documentation

gp_Ax1 Adaptor3d_SurfaceOfRevolution::AxeOfRevolution ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Ax3 Adaptor3d_SurfaceOfRevolution::Axis ( ) const

Handle_Adaptor3d_HCurve Adaptor3d_SurfaceOfRevolution::BasisCurve ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Handle_Geom_BezierSurface Adaptor3d_SurfaceOfRevolution::Bezier ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Handle_Geom_BSplineSurface Adaptor3d_SurfaceOfRevolution::BSpline ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Cone Adaptor3d_SurfaceOfRevolution::Cone ( ) const

virtual

Apex of the Cone = Cone.Position().Location()
==> ReferenceRadius = 0.

Reimplemented from Adaptor3d_Surface.

gp_Cylinder Adaptor3d_SurfaceOfRevolution::Cylinder ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::D0	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P
	)		const

virtual

Computes the point of parameters U,V on the surface.

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::D1	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V
	)		const

virtual

Computes the point  and the first derivatives on <br>

the surface.
//! Raised if the continuity of the current
intervals is not C1.

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::D2	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V,
		gp_Vec &	D2U,
		gp_Vec &	D2V,
		gp_Vec &	D2UV
	)		const

virtual

 Computes   the point,  the  first  and  second <br>

derivatives on the surface.
//! Raised if the continuity of the current
intervals is not C2.

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::D3	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V,
		gp_Vec &	D2U,
		gp_Vec &	D2V,
		gp_Vec &	D2UV,
		gp_Vec &	D3U,
		gp_Vec &	D3V,
		gp_Vec &	D3UUV,
		gp_Vec &	D3UVV
	)		const

virtual

Computes the point,  the first, second and third <br>

derivatives on the surface.
//! Raised if the continuity of the current
intervals is not C3.

Reimplemented from Adaptor3d_Surface.

gp_Dir Adaptor3d_SurfaceOfRevolution::Direction ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Vec Adaptor3d_SurfaceOfRevolution::DN	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	Nu,
		const Standard_Integer	Nv
	)		const

virtual

 Computes the derivative of order Nu <br>

in the direction U and Nv in the direction V
at the point P(U, V).
//! Raised if the current U interval is not not CNu
and the current V interval is not CNv.
//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::FirstUParameter ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::FirstVParameter ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

GeomAbs_SurfaceType Adaptor3d_SurfaceOfRevolution::GetType ( ) const

virtual

Returns the type of the surface : Plane, Cylinder,
Cone, Sphere, Torus, BezierSurface,
BSplineSurface, SurfaceOfRevolution,
SurfaceOfExtrusion, OtherSurface

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsUClosed ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsUPeriodic ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsURational ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsVClosed ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsVPeriodic ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Boolean Adaptor3d_SurfaceOfRevolution::IsVRational ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::LastUParameter ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::LastVParameter ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::Load ( const Handle< Adaptor3d_HCurve > & C )

Changes the Curve

void Adaptor3d_SurfaceOfRevolution::Load ( const gp_Ax1 & V )

Changes the Direction

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbUIntervals ( const GeomAbs_Shape S ) const

virtual

Returns the number of U intervals for continuity
<S>. May be one if UContinuity(me) >= <S>

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbUKnots ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbUPoles ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbVIntervals ( const GeomAbs_Shape S ) const

virtual

Returns the number of V intervals for continuity
<S>. May be one if VContinuity(me) >= <S>

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbVKnots ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::NbVPoles ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Pln Adaptor3d_SurfaceOfRevolution::Plane ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Sphere Adaptor3d_SurfaceOfRevolution::Sphere ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

gp_Torus Adaptor3d_SurfaceOfRevolution::Torus ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

GeomAbs_Shape Adaptor3d_SurfaceOfRevolution::UContinuity ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::UDegree ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::UIntervals	(	TColStd_Array1OfReal &	T,
		const GeomAbs_Shape	S
	)		const

virtual

Returns the intervals with the requested continuity
in the U direction.

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::UPeriod ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::UResolution ( const Standard_Real R3d ) const

virtual

Returns the parametric U resolution corresponding
to the real space resolution <R3d>.

Reimplemented from Adaptor3d_Surface.

Handle_Adaptor3d_HSurface Adaptor3d_SurfaceOfRevolution::UTrim	(	const Standard_Real	First,
		const Standard_Real	Last,
		const Standard_Real	Tol
	)		const

virtual

Returns a surface trimmed in the U direction
equivalent of <me> between
parameters <First> and <Last>. <Tol> is used to
test for 3d points confusion.
//! If <First> >= <Last>

Reimplemented from Adaptor3d_Surface.

gp_Pnt Adaptor3d_SurfaceOfRevolution::Value	(	const Standard_Real	U,
		const Standard_Real	V
	)		const

virtual

Computes the point of parameters U,V on the surface.

Reimplemented from Adaptor3d_Surface.

GeomAbs_Shape Adaptor3d_SurfaceOfRevolution::VContinuity ( ) const

virtual

Return CN.

Reimplemented from Adaptor3d_Surface.

Standard_Integer Adaptor3d_SurfaceOfRevolution::VDegree ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

void Adaptor3d_SurfaceOfRevolution::VIntervals	(	TColStd_Array1OfReal &	T,
		const GeomAbs_Shape	S
	)		const

virtual

Returns the intervals with the requested continuity
in the V direction.

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::VPeriod ( ) const

virtual

Reimplemented from Adaptor3d_Surface.

Standard_Real Adaptor3d_SurfaceOfRevolution::VResolution ( const Standard_Real R3d ) const

virtual

Returns the parametric V resolution corresponding
to the real space resolution <R3d>.

Reimplemented from Adaptor3d_Surface.

Handle_Adaptor3d_HSurface Adaptor3d_SurfaceOfRevolution::VTrim	(	const Standard_Real	First,
		const Standard_Real	Last,
		const Standard_Real	Tol
	)		const

virtual

Returns a surface trimmed in the V direction between
parameters <First> and <Last>. <Tol> is used to
test for 3d points confusion.
//! If <First> >= <Last>

Reimplemented from Adaptor3d_Surface.

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

Adaptor3d_SurfaceOfRevolution.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation