Describes a surface of revolution (revolved surface).
Such a surface is obtained by rotating a curve (called
the "meridian") through a complete revolution about
an axis (referred to as the "axis of revolution"). The
curve and the axis must be in the same plane (the
"reference plane" of the surface).
Rotation around the axis of revolution in the
trigonometric sense defines the u parametric
direction. So the u parameter is an angle, and its
origin is given by the position of the meridian on the surface.
The parametric range for the u parameter is: [ 0, 2.*Pi ]
The v parameter is that of the meridian.
Note: A surface of revolution is built from a copy of the
original meridian. As a result the original meridian is
not modified when the surface is modified.
The form of a surface of revolution is typically a
general revolution surface
(GeomAbs_RevolutionForm). It can be:
More...

#include <Geom_SurfaceOfRevolution.hxx>

Inheritance diagram for Geom_SurfaceOfRevolution:

[legend]

Public Member Functions
	Geom_SurfaceOfRevolution (const Handle< Geom_Curve > &C, const gp_Ax1 &A1)
	C : is the meridian or the referenced curve. <br> A1 is the axis of revolution. The form of a SurfaceOfRevolution can be : . a general revolution surface (RevolutionForm), . a conical surface if the meridian is a line or a trimmed line (ConicalForm), . a cylindrical surface if the meridian is a line or a trimmed line parallel to the revolution axis (CylindricalForm), . a planar surface if the meridian is a line perpendicular to the revolution axis of the surface (PlanarForm). . a spherical surface, . a toroidal surface, . a quadric surface. Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects. More...

void	SetAxis (const gp_Ax1 &A1)
	Changes the axis of revolution. <br> Warnings : It is not checked that the axis is in the plane of the revolved curve. More...

void	SetDirection (const gp_Dir &V)
	Changes the direction of the revolution axis. <br> Warnings : It is not checked that the axis is in the plane of the revolved curve. More...

void	SetBasisCurve (const Handle< Geom_Curve > &C)
	Changes the revolved curve of the surface. <br> Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects. More...

void	SetLocation (const gp_Pnt &P)
	Changes the location point of the revolution axis. <br> Warnings : It is not checked that the axis is in the plane of the revolved curve. More...

gp_Ax1	Axis () const
	Returns the revolution axis of the surface. More...

const gp_Pnt &	Location () const
	Returns the location point of the axis of revolution. More...

gp_Ax2	ReferencePlane () const
	Computes the position of the reference plane of the surface defined by the basis curve and the symmetry axis. The location point is the location point of the revolution's axis, the XDirection of the plane is given by the revolution's axis and the orientation of the normal to the plane is given by the sense of revolution. Raised if the revolved curve is not planar or if the revolved curve and the symmetry axis are not in the same plane or if the maximum of distance between the axis and the revolved curve is lower or equal to Resolution from gp. More...

void	UReverse ()
	Changes the orientation of this surface of revolution <br> in the u parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence: More...

Standard_Real	UReversedParameter (const Standard_Real U) const
	Computes the u parameter on the modified <br> surface, when reversing its u parametric direction, for any point of u parameter U on this surface of revolution. In the case of a revolved surface: More...

void	VReverse ()
	Changes the orientation of this surface of revolution <br> in the v parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence: More...

Standard_Real	VReversedParameter (const Standard_Real V) const
	Computes the v parameter on the modified <br> surface, when reversing its v parametric direction, for any point of v parameter V on this surface of revolution. In the case of a revolved surface: More...

virtual void	TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const
	Computes the parameters on the transformed surface for <br> the transform of the point of parameters U,V on <me>. <br> me->Transformed(T)->Value(U',V') is the same point as me->Value(U,V).Transformed(T) Where U',V' are the new values of U,V after calling me->TranformParameters(U,V,T) This methods multiplies V by BasisCurve()->ParametricTransformation(T) More...

virtual gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const
	Returns a 2d transformation used to find the new <br> parameters of a point on the transformed surface. <br> me->Transformed(T)->Value(U',V') is the same point as me->Value(U,V).Transformed(T) Where U',V' are obtained by transforming U,V with th 2d transformation returned by me->ParametricTransformation(T) This methods returns a scale centered on the U axis with BasisCurve()->ParametricTransformation(T) More...

void	Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const
	Returns the parametric bounds U1, U2 , V1 and V2 of this surface. <br> A surface of revolution is always complete, so U1 = 0, U2 = 2*PI. More...

Standard_Boolean	IsUClosed () const
	IsUClosed always returns true. More...

Standard_Boolean	IsVClosed () const
	IsVClosed returns true if the meridian of this surface of revolution is closed. More...

Standard_Boolean	IsCNu (const Standard_Integer N) const
	IsCNu always returns true. More...

Standard_Boolean	IsCNv (const Standard_Integer N) const
	IsCNv returns true if the degree of continuity of the meridian of this surface of revolution is at least N. //! Raised if N < 0. More...

Standard_Boolean	IsUPeriodic () const
	Returns True. More...

Standard_Boolean	IsVPeriodic () const
	IsVPeriodic returns true if the meridian of this <br> surface of revolution is periodic. More...

Handle_Geom_Curve	UIso (const Standard_Real U) const
	Computes the U isoparametric curve of this surface <br> of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution. More...

Handle_Geom_Curve	VIso (const Standard_Real V) const
	Computes the U isoparametric curve of this surface <br> of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution. More...

void	D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
	Computes the point P (U, V) on the surface. <br> U is the angle of the rotation around the revolution axis. The direction of this axis gives the sense of rotation. V is the parameter of the revolved curve. More...

void	D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
	Computes the current point and the first derivatives in the directions U and V. //! Raised if the continuity of the surface 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 current point, the first and the second derivatives in the directions U and V. //! Raised if the continuity of the surface 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 current point, the first,the second and the third derivatives in the directions U and V. //! Raised if the continuity of the surface 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 in the direction u and <br> Nv in the direction v. Raised if the continuity of the surface is not CNu in the u direction and CNv in the v direction. //! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. //! The following functions evaluates the local derivatives on surface. Useful to manage discontinuities on the surface. if Side = 1 -> P = S( U+,V ) if Side = -1 -> P = S( U-,V ) else P is betveen discontinuities can be evaluated using methods of global evaluations P = S( U ,V ) More...

void	LocalD0 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P) const

void	LocalD1 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const

void	LocalD2 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const

void	LocalD3 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, 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

gp_Vec	LocalDN (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer Nu, const Standard_Integer Nv) const

void	Transform (const gp_Trsf &T)
	Applies the transformation T to this surface of revolution. More...

Handle_Geom_Geometry	Copy () const
	Creates a new object which is a copy of this surface of revolution. More...

Public Member Functions inherited from Geom_SweptSurface
GeomAbs_Shape	Continuity () const
	returns the continuity of the surface : C0 : only geometric continuity, C1 : continuity of the first derivative all along the surface, C2 : continuity of the second derivative all along the surface, C3 : continuity of the third derivative all along the surface, G1 : tangency continuity all along the surface, G2 : curvature continuity all along the surface, CN : the order of continuity is infinite. More...

const gp_Dir &	Direction () const
	Returns the reference direction of the swept surface. For a surface of revolution it is the direction of the revolution axis, for a surface of linear extrusion it is the direction of extrusion. More...

Handle_Geom_Curve	BasisCurve () const
	Returns the referenced curve of the surface. For a surface of revolution it is the revolution curve, for a surface of linear extrusion it is the extruded curve. More...

Public Member Functions inherited from Geom_Surface
Handle_Geom_Surface	UReversed () const
	Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

Handle_Geom_Surface	VReversed () const
	Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

virtual Standard_Real	UPeriod () const
	Returns the period of this surface in the u <br> parametric direction. //! raises if the surface is not uperiodic. More...

virtual Standard_Real	VPeriod () const
	Returns the period of this surface in the v parametric direction. //! raises if the surface is not vperiodic. More...

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameter U on the surface. <br> It is implemented with D0 Raised only for an "OffsetSurface" if it is not possible to compute the current point. More...

Public Member Functions inherited from Geom_Geometry
void	Mirror (const gp_Pnt &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...

void	Mirror (const gp_Ax1 &A1)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...

void	Mirror (const gp_Ax2 &A2)
	Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...

void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value. More...

void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the tanslation. More...

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2. More...

Handle_Geom_Geometry	Mirrored (const gp_Pnt &P) const

Handle_Geom_Geometry	Mirrored (const gp_Ax1 &A1) const

Handle_Geom_Geometry	Mirrored (const gp_Ax2 &A2) const

Handle_Geom_Geometry	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle_Geom_Geometry	Scaled (const gp_Pnt &P, const Standard_Real S) const

Handle_Geom_Geometry	Transformed (const gp_Trsf &T) const

Handle_Geom_Geometry	Translated (const gp_Vec &V) const

Handle_Geom_Geometry	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const

Public Member Functions inherited from MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const Handle_Standard_Type &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const Handle_Standard_Type &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

Additional Inherited Members
Protected Attributes inherited from Geom_SweptSurface
Handle_Geom_Curve	basisCurve

gp_Dir	direction

GeomAbs_Shape	smooth

Detailed Description

Describes a surface of revolution (revolved surface).
Such a surface is obtained by rotating a curve (called
the "meridian") through a complete revolution about
an axis (referred to as the "axis of revolution"). The
curve and the axis must be in the same plane (the
"reference plane" of the surface).
Rotation around the axis of revolution in the
trigonometric sense defines the u parametric
direction. So the u parameter is an angle, and its
origin is given by the position of the meridian on the surface.
The parametric range for the u parameter is: [ 0, 2.*Pi ]
The v parameter is that of the meridian.
Note: A surface of revolution is built from a copy of the
original meridian. As a result the original meridian is
not modified when the surface is modified.
The form of a surface of revolution is typically a
general revolution surface
(GeomAbs_RevolutionForm). It can be:

a conical surface, if the meridian is a line or a
trimmed line (GeomAbs_ConicalForm),
a cylindrical surface, if the meridian is a line or a
trimmed line parallel to the axis of revolution
(GeomAbs_CylindricalForm),
a planar surface if the meridian is a line or a
trimmed line perpendicular to the axis of revolution
of the surface (GeomAbs_PlanarForm),
a toroidal surface, if the meridian is a circle or a
trimmed circle (GeomAbs_ToroidalForm), or
a spherical surface, if the meridian is a circle, the
center of which is located on the axis of the
revolved surface (GeomAbs_SphericalForm).
Warning
Be careful not to construct a surface of revolution
where the curve and the axis or revolution are not
defined in the same plane. If you do not have a
correct configuration, you can correct your initial
curve, using a cylindrical projection in the reference plane.

Constructor & Destructor Documentation

Geom_SurfaceOfRevolution::Geom_SurfaceOfRevolution	(	const Handle< Geom_Curve > &	C,
		const gp_Ax1 &	A1
	)

C : is the meridian  or the referenced curve. <br>

A1 is the axis of revolution.
The form of a SurfaceOfRevolution can be :
. a general revolution surface (RevolutionForm),
. a conical surface if the meridian is a line or a trimmed line
(ConicalForm),
. a cylindrical surface if the meridian is a line or a trimmed
line parallel to the revolution axis (CylindricalForm),
. a planar surface if the meridian is a line perpendicular to
the revolution axis of the surface (PlanarForm).
. a spherical surface,
. a toroidal surface,
. a quadric surface.
Warnings :
It is not checked that the curve C is planar and that the
surface axis is in the plane of the curve.
It is not checked that the revolved curve C doesn't
self-intersects.

Member Function Documentation

gp_Ax1 Geom_SurfaceOfRevolution::Axis ( ) const

Returns the revolution axis of the surface.

void Geom_SurfaceOfRevolution::Bounds	(	Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	V1,
		Standard_Real &	V2
	)		const

virtual

 Returns the parametric bounds U1, U2 , V1 and V2 of this surface. <br>

A surface of revolution is always complete, so U1 = 0, U2 = 2*PI.

void Geom_SurfaceOfRevolution::LocalD0	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		gp_Pnt &	P
	)		const

void Geom_SurfaceOfRevolution::LocalD1	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V
	)		const

void Geom_SurfaceOfRevolution::LocalD2	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V,
		gp_Vec &	D2U,
		gp_Vec &	D2V,
		gp_Vec &	D2UV
	)		const

void Geom_SurfaceOfRevolution::LocalD3	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		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

gp_Vec Geom_SurfaceOfRevolution::LocalDN	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		const Standard_Integer	Nu,
		const Standard_Integer	Nv
	)		const

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation