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 occ::handle< Geom_Curve > &C, const gp_Ax1 &A1)
	C : is the meridian or the referenced curve. 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.

bool	HasEvalRepresentation () const
	Returns true if an evaluation representation is attached.

const occ::handle< GeomEval_RepSurfaceDesc::Base > &	EvalRepresentation () const
	Returns the current evaluation representation descriptor (may be null).

void	SetEvalRepresentation (const occ::handle< GeomEval_RepSurfaceDesc::Base > &theDesc)
	Sets a new evaluation representation. Validates descriptor data and ensures no circular references.

void	ClearEvalRepresentation ()
	Removes the evaluation representation.

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

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

void	SetBasisCurve (const occ::handle< Geom_Curve > &C)
	Changes the revolved curve of the 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.

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

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

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

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.

void	UReverse () final
	Changes the orientation of this surface of revolution 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:

double	UReversedParameter (const double U) const final
	Computes the u parameter on the modified 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:

void	VReverse () final
	Changes the orientation of this surface of revolution 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:

double	VReversedParameter (const double V) const final
	Computes the v parameter on the modified 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:

void	TransformParameters (double &U, double &V, const gp_Trsf &T) const final
	Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>.

gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const final
	Returns a 2d transformation used to find the new parameters of a point on the transformed surface.

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

bool	IsUClosed () const final
	IsUClosed always returns true.

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

bool	IsCNu (const int N) const final
	IsCNu always returns true.

bool	IsCNv (const int N) const final
	IsCNv returns true if the degree of continuity of the meridian of this surface of revolution is at least N. Raised if N < 0.

bool	IsUPeriodic () const final
	Returns True.

bool	IsVPeriodic () const final
	IsVPeriodic returns true if the meridian of this surface of revolution is periodic.

occ::handle< Geom_Curve >	UIso (const double U) const final
	Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution.

occ::handle< Geom_Curve >	VIso (const double V) const final
	Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution.

gp_Pnt	EvalD0 (const double U, const double V) const final
	Computes the point P (U, V) on the surface. 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. Raises an exception on failure.

Geom_Surface::ResD1	EvalD1 (const double U, const double V) const final
	Computes the point and first partial derivatives at (U, V). Raises an exception if the surface continuity is not C1.

Geom_Surface::ResD2	EvalD2 (const double U, const double V) const final
	Computes the point and partial derivatives up to 2nd order at (U, V). Raises an exception if the surface continuity is not C2.

Geom_Surface::ResD3	EvalD3 (const double U, const double V) const final
	Computes the point and partial derivatives up to 3rd order at (U, V). Raises an exception if the surface continuity is not C3.

gp_Vec	EvalDN (const double U, const double V, const int Nu, const int Nv) const final
	Computes the derivative of order Nu in U and Nv in V at (U, V). Raises an exception on failure.

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

occ::handle< Geom_Geometry >	Copy () const final
	Creates a new object which is a copy of this surface of revolution.

void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const final
	Dumps the content of me into the stream.

Public Member Functions inherited from Geom_SweptSurface
GeomAbs_Shape	Continuity () const override
	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.

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.

occ::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.

void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const override
	Dumps the content of me into the stream.

Public Member Functions inherited from Geom_Surface
occ::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.

occ::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.

virtual double	UPeriod () const
	Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic.

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

void	D0 (const double U, const double V, gp_Pnt &P) const
	Computes the point of parameter (U, V).

void	D1 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
	Computes the point and first partial derivatives.

void	D2 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const
	Computes the point and partial derivatives up to 2nd order.

void	D3 (const double U, const double 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 and partial derivatives up to 3rd order.

gp_Vec	DN (const double U, const double V, const int Nu, const int Nv) const
	Computes the derivative of order Nu in U and Nv in V.

gp_Pnt	Value (const double U, const double V) const
	Computes the point of parameter (U, V) on the surface.

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.

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.

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).

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

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

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

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

occ::handle< Geom_Geometry >	Mirrored (const gp_Pnt &P) const

occ::handle< Geom_Geometry >	Mirrored (const gp_Ax1 &A1) const

occ::handle< Geom_Geometry >	Mirrored (const gp_Ax2 &A2) const

occ::handle< Geom_Geometry >	Rotated (const gp_Ax1 &A1, const double Ang) const

occ::handle< Geom_Geometry >	Scaled (const gp_Pnt &P, const double S) const

occ::handle< Geom_Geometry >	Transformed (const gp_Trsf &T) const

occ::handle< Geom_Geometry >	Translated (const gp_Vec &V) const

occ::handle< Geom_Geometry >	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const

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

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

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

virtual	~Standard_Transient ()=default
	Destructor must be virtual.

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.

bool	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.

bool	IsInstance (const char *const theTypeName) const
	Returns a true value if this is an instance of TypeName.

bool	IsKind (const opencascade::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.

bool	IsKind (const char *const 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.

Standard_Transient *	This () const
	Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero.

int	GetRefCount () const noexcept
	Get the reference counter of this object.

void	IncrementRefCounter () noexcept
	Increments the reference counter of this object. Uses relaxed memory ordering since incrementing only requires atomicity, not synchronization with other memory operations.

int	DecrementRefCounter () noexcept
	Decrements the reference counter of this object; returns the decremented value. Uses release ordering for the decrement to ensure all writes to the object are visible before the count reaches zero. An acquire fence is added only when the count reaches zero, ensuring proper synchronization before deletion. This is more efficient than using acq_rel for every decrement.

virtual void	Delete () const
	Memory deallocator for transient classes.

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.

Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.

static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class.

Protected Attributes inherited from Geom_SweptSurface
occ::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::Geom_SurfaceOfRevolution	(	const occ::handle< Geom_Curve > &	C,
		const gp_Ax1 &	A1 )

C : is the meridian or the referenced curve. 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

◆ Axis()

gp_Ax1 Geom_SurfaceOfRevolution::Axis ( ) const

Returns the revolution axis of the surface.

◆ Bounds()

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

finalvirtual

Returns the parametric bounds U1, U2 , V1 and V2 of this surface. A surface of revolution is always complete, so U1 = 0, U2 = 2*PI.

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Geom_SurfaceOfRevolution()

Member Function Documentation

◆ Axis()

◆ Bounds()

◆ ClearEvalRepresentation()

◆ Copy()

◆ DumpJson()

◆ EvalD0()

◆ EvalD1()

◆ EvalD2()

◆ EvalD3()

◆ EvalDN()

◆ EvalRepresentation()

◆ HasEvalRepresentation()

◆ IsCNu()

◆ IsCNv()

◆ IsUClosed()

◆ IsUPeriodic()

◆ IsVClosed()

◆ IsVPeriodic()

◆ Location()

◆ ParametricTransformation()

◆ ReferencePlane()

◆ SetAxis()

◆ SetBasisCurve()

◆ SetDirection()

◆ SetEvalRepresentation()

◆ SetLocation()

◆ Transform()

◆ TransformParameters()

◆ UIso()

◆ UReverse()

◆ UReversedParameter()

◆ VIso()

◆ VReverse()

◆ VReversedParameter()