This class defines the infinite cylindrical surface. More...

#include <Geom_CylindricalSurface.hxx>

Inheritance diagram for Geom_CylindricalSurface:

[legend]

Public Member Functions
	Geom_CylindricalSurface (const gp_Ax3 &A3, const double Radius)
	A3 defines the local coordinate system of the cylindrical surface. The "ZDirection" of A3 defines the direction of the surface's axis of symmetry. At the creation the parametrization of the surface is defined such that the normal Vector (N = D1U ^ D1V) is oriented towards the "outside region" of the surface. Warnings: It is not forbidden to create a cylindrical surface with Radius = 0.0 Raised if Radius < 0.0.
	Geom_CylindricalSurface (const gp_Cylinder &C)
	Creates a CylindricalSurface from a non transient gp_Cylinder.
void	SetCylinder (const gp_Cylinder &C)
	Set <me> so that <me> has the same geometric properties as C.
void	SetRadius (const double R)
	Changes the radius of the cylinder. Raised if R < 0.0.
gp_Cylinder	Cylinder () const
	returns a non transient cylinder with the same geometric properties as <me>.
double	UReversedParameter (const double U) const final
	Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U.
double	VReversedParameter (const double V) const final
	Return the parameter on the Vreversed surface for the point of parameter V on <me>. Return -V.
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
	The CylindricalSurface is infinite in the V direction so V1 = Realfirst, V2 = RealLast from package Standard. U1 = 0 and U2 = 2*PI.
void	Coefficients (double &A1, double &A2, double &A3, double &B1, double &B2, double &B3, double &C1, double &C2, double &C3, double &D) const
	Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate system : These coefficients are normalized.
double	Radius () const
	Returns the radius of this cylinder.
bool	IsUClosed () const final
	Returns True.
bool	IsVClosed () const final
	Returns False.
bool	IsUPeriodic () const final
	Returns True.
bool	IsVPeriodic () const final
	Returns False.
occ::handle< Geom_Curve >	UIso (const double U) const final
	The UIso curve is a Line. The location point of this line is on the placement plane (XAxis, YAxis) of the surface. This line is parallel to the axis of symmetry of the surface.
occ::handle< Geom_Curve >	VIso (const double V) const final
	The VIso curve is a circle. The start point of this circle (U = 0) is defined with the "XAxis" of the surface. The center of the circle is on the symmetry axis.
gp_Pnt	EvalD0 (const double U, const double V) const final
	Computes the point P (U, V) on the surface. P (U, V) = Loc + Radius * (cos (U) * XDir + sin (U) * YDir) + V * ZDir where Loc is the origin of the placement plane (XAxis, YAxis) XDir is the direction of the XAxis and YDir the direction of the YAxis.
Geom_Surface::ResD1	EvalD1 (const double U, const double V) const final
	Computes the current point and the first derivatives in the directions U and V.
Geom_Surface::ResD2	EvalD2 (const double U, const double V) const final
	Computes the current point, the first and the second derivatives in the directions U and V.
Geom_Surface::ResD3	EvalD3 (const double U, const double V) const final
	Computes the current point, the first, the second and the third derivatives in the directions U and V.
gp_Vec	EvalDN (const double U, const double V, const int Nu, const int Nv) const final
	Computes the derivative of order Nu in the direction u and Nv in the direction v. Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
void	Transform (const gp_Trsf &T) final
	Applies the transformation T to this cylinder.
occ::handle< Geom_Geometry >	Copy () const final
	Creates a new object which is a copy of this cylinder.
void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const final
	Dumps the content of me into the stream.
Public Member Functions inherited from Geom_ElementarySurface
void	SetAxis (const gp_Ax1 &theA1)
	Changes the main axis (ZAxis) of the elementary surface.
void	SetLocation (const gp_Pnt &theLoc)
	Changes the location of the local coordinates system of the surface.
void	SetPosition (const gp_Ax3 &theAx3)
	Changes the local coordinates system of the surface.
const gp_Ax1 &	Axis () const
	Returns the main axis of the surface (ZAxis).
const gp_Pnt &	Location () const
	Returns the location point of the local coordinate system of the surface.
const gp_Ax3 &	Position () const
	Returns the local coordinates system of the surface.
void	UReverse () override
	Reverses the U parametric direction of the surface.
void	VReverse () override
	Reverses the V parametric direction of the surface.
GeomAbs_Shape	Continuity () const override
	Returns GeomAbs_CN, the global continuity of any elementary surface.
bool	IsCNu (const int N) const override
	Returns True.
bool	IsCNv (const int N) const override
	Returns True.
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.
void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const override
	Dumps the content of me into the stream.
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
typedef void	base_type
	Returns a type descriptor about this object.
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_ElementarySurface
gp_Ax3	pos

Detailed Description

This class defines the infinite cylindrical surface.

Every cylindrical surface is set by the following equation:

S(U,V) = Location + R*cos(U)*XAxis + R*sin(U)*YAxis + V*ZAxis,

Geom_ElementarySurface::Location

const gp_Pnt & Location() const

Returns the location point of the local coordinate system of the surface.

Definition Geom_ElementarySurface.hxx:81

where R is cylinder radius.

The local coordinate system of the CylindricalSurface is defined with an axis placement (see class ElementarySurface).

The "ZAxis" is the symmetry axis of the CylindricalSurface, it gives the direction of increasing parametric value V.

The parametrization range is :

U [0, 2*PI], V ]- infinite, + infinite[

The "XAxis" and the "YAxis" define the placement plane of the surface (Z = 0, and parametric value V = 0) perpendicular to the symmetry axis. The "XAxis" defines the origin of the parameter U = 0. The trigonometric sense gives the positive orientation for the parameter U.

When you create a CylindricalSurface the U and V directions of parametrization are such that at each point of the surface the normal is oriented towards the "outside region".

The methods UReverse VReverse change the orientation of the surface.

Constructor & Destructor Documentation

◆ Geom_CylindricalSurface() [1/2]

Geom_CylindricalSurface::Geom_CylindricalSurface	(	const gp_Ax3 &	A3,
		const double	Radius )

A3 defines the local coordinate system of the cylindrical surface. The "ZDirection" of A3 defines the direction of the surface's axis of symmetry. At the creation the parametrization of the surface is defined such that the normal Vector (N = D1U ^ D1V) is oriented towards the "outside region" of the surface. Warnings: It is not forbidden to create a cylindrical surface with Radius = 0.0 Raised if Radius < 0.0.

◆ Geom_CylindricalSurface() [2/2]

Geom_CylindricalSurface::Geom_CylindricalSurface ( const gp_Cylinder & C )

Creates a CylindricalSurface from a non transient gp_Cylinder.

Member Function Documentation

◆ Bounds()

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

finalvirtual

The CylindricalSurface is infinite in the V direction so V1 = Realfirst, V2 = RealLast from package Standard. U1 = 0 and U2 = 2*PI.

Implements Geom_Surface.

◆ Coefficients()

void Geom_CylindricalSurface::Coefficients	(	double &	A1,
		double &	A2,
		double &	A3,
		double &	B1,
		double &	B2,
		double &	B3,
		double &	C1,
		double &	C2,
		double &	C3,
		double &	D ) const

Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate system : These coefficients are normalized.

A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0

◆ Copy()

occ::handle< Geom_Geometry > Geom_CylindricalSurface::Copy ( ) const

finalvirtual

Creates a new object which is a copy of this cylinder.

Implements Geom_Geometry.

◆ Cylinder()

gp_Cylinder Geom_CylindricalSurface::Cylinder ( ) const

returns a non transient cylinder with the same geometric properties as <me>.

◆ DumpJson()

void Geom_CylindricalSurface::DumpJson	(	Standard_OStream &	theOStream,
		int	theDepth = -1 ) const

finalvirtual

Dumps the content of me into the stream.

Reimplemented from Geom_Geometry.

◆ EvalD0()

gp_Pnt Geom_CylindricalSurface::EvalD0	(	const double	U,
		const double	V ) const

finalvirtual

Computes the point P (U, V) on the surface. P (U, V) = Loc + Radius * (cos (U) * XDir + sin (U) * YDir) + V * ZDir where Loc is the origin of the placement plane (XAxis, YAxis) XDir is the direction of the XAxis and YDir the direction of the YAxis.

Implements Geom_Surface.

◆ EvalD1()

Geom_Surface::ResD1 Geom_CylindricalSurface::EvalD1	(	const double	U,
		const double	V ) const

finalvirtual

Computes the current point and the first derivatives in the directions U and V.

Implements Geom_Surface.

◆ EvalD2()

Geom_Surface::ResD2 Geom_CylindricalSurface::EvalD2	(	const double	U,
		const double	V ) const

finalvirtual

Computes the current point, the first and the second derivatives in the directions U and V.

Implements Geom_Surface.

◆ EvalD3()

Geom_Surface::ResD3 Geom_CylindricalSurface::EvalD3	(	const double	U,
		const double	V ) const

finalvirtual

Computes the current point, the first, the second and the third derivatives in the directions U and V.

Implements Geom_Surface.

◆ EvalDN()

gp_Vec Geom_CylindricalSurface::EvalDN	(	const double	U,
		const double	V,
		const int	Nu,
		const int	Nv ) const

finalvirtual

Computes the derivative of order Nu in the direction u and Nv in the direction v. Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.

Implements Geom_Surface.

◆ IsUClosed()

bool Geom_CylindricalSurface::IsUClosed ( ) const

finalvirtual

Returns True.

Implements Geom_Surface.

◆ IsUPeriodic()

bool Geom_CylindricalSurface::IsUPeriodic ( ) const

finalvirtual

Returns True.

Implements Geom_Surface.

◆ IsVClosed()

bool Geom_CylindricalSurface::IsVClosed ( ) const

finalvirtual

Returns False.

Implements Geom_Surface.

◆ IsVPeriodic()

bool Geom_CylindricalSurface::IsVPeriodic ( ) const

finalvirtual

Returns False.

Implements Geom_Surface.

◆ ParametricTransformation()

gp_GTrsf2d Geom_CylindricalSurface::ParametricTransformation ( const gp_Trsf & T ) const

finalvirtual

Returns a 2d transformation used to find the new parameters of a point on the transformed surface.

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 the 2d transformation returned by

me->ParametricTransformation(T)

This method returns a scale centered on the U axis with T.ScaleFactor

Reimplemented from Geom_Surface.

◆ Radius()

double Geom_CylindricalSurface::Radius ( ) const

Returns the radius of this cylinder.

◆ SetCylinder()

void Geom_CylindricalSurface::SetCylinder ( const gp_Cylinder & C )

Set <me> so that <me> has the same geometric properties as C.

◆ SetRadius()

void Geom_CylindricalSurface::SetRadius ( const double R )

Changes the radius of the cylinder. Raised if R < 0.0.

◆ Transform()

void Geom_CylindricalSurface::Transform ( const gp_Trsf & T )

finalvirtual

Applies the transformation T to this cylinder.

Implements Geom_Geometry.

◆ TransformParameters()

void Geom_CylindricalSurface::TransformParameters	(	double &	U,
		double &	V,
		const gp_Trsf &	T ) const

finalvirtual

Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>.

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->TransformParameters(U,V,T)

This method multiplies V by T.ScaleFactor()

Reimplemented from Geom_Surface.

◆ UIso()

occ::handle< Geom_Curve > Geom_CylindricalSurface::UIso ( const double U ) const

finalvirtual

The UIso curve is a Line. The location point of this line is on the placement plane (XAxis, YAxis) of the surface. This line is parallel to the axis of symmetry of the surface.

Implements Geom_Surface.

◆ UReversedParameter()

double Geom_CylindricalSurface::UReversedParameter ( const double U ) const

finalvirtual

Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U.

Implements Geom_ElementarySurface.

◆ VIso()

occ::handle< Geom_Curve > Geom_CylindricalSurface::VIso ( const double V ) const

finalvirtual

The VIso curve is a circle. The start point of this circle (U = 0) is defined with the "XAxis" of the surface. The center of the circle is on the symmetry axis.

Implements Geom_Surface.

◆ VReversedParameter()

double Geom_CylindricalSurface::VReversedParameter ( const double V ) const

finalvirtual

Return the parameter on the Vreversed surface for the point of parameter V on <me>. Return -V.

Implements Geom_ElementarySurface.

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

Geom_CylindricalSurface.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Geom_CylindricalSurface() [1/2]

◆ Geom_CylindricalSurface() [2/2]

Member Function Documentation

◆ Bounds()

◆ Coefficients()

◆ Copy()

◆ Cylinder()

◆ DumpJson()

◆ EvalD0()

◆ EvalD1()

◆ EvalD2()

◆ EvalD3()

◆ EvalDN()

◆ IsUClosed()

◆ IsUPeriodic()

◆ IsVClosed()

◆ IsVPeriodic()

◆ ParametricTransformation()

◆ Radius()

◆ SetCylinder()

◆ SetRadius()

◆ Transform()

◆ TransformParameters()

◆ UIso()

◆ UReversedParameter()

◆ VIso()

◆ VReversedParameter()