This class defines the infinite cylindrical surface.

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.
More...

#include <Geom_CylindricalSurface.hxx>

Inheritance diagram for Geom_CylindricalSurface:

[legend]

Public Member Functions
	Geom_CylindricalSurface (const gp_Ax3 &A3, const Standard_Real Radius)
	A3 defines the local coordinate system of the cylindrical surface. <br> 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 More...

	Geom_CylindricalSurface (const gp_Cylinder &C)
	Creates a CylindricalSurface from a non transient Cylinder from package gp. More...

void	SetCylinder (const gp_Cylinder &C)
	Set <me> so that <me> has the same geometric properties as C. More...

void	SetRadius (const Standard_Real R)
	Changes the radius of the cylinder. //! Raised if R < 0.0 More...

gp_Cylinder	Cylinder () const
	returns a non transient cylinder with the same geometric properties as <me>. More...

Standard_Real	UReversedParameter (const Standard_Real U) const
	Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U. More...

Standard_Real	VReversedParameter (const Standard_Real V) const
	Return the parameter on the Vreversed surface for the point of parameter V on <me>. Return -V 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>. 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 T.ScaleFactor() 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') <br> is the same point as <br> me->Value(U,V).Transformed(T) <br> 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 T.ScaleFactor More...

void	Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const
	The CylindricalSurface is infinite in the V direction so V1 = Realfirst, V2 = RealLast from package Standard. U1 = 0 and U2 = 2*PI. More...

void	Coefficients (Standard_Real &A1, Standard_Real &A2, Standard_Real &A3, Standard_Real &B1, Standard_Real &B2, Standard_Real &B3, Standard_Real &C1, Standard_Real &C2, Standard_Real &C3, Standard_Real &D) const
	Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate system : These coefficients are normalized. A1.X2 + A2.Y2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0 More...

Standard_Real	Radius () const
	Returns the radius of this cylinder. More...

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

Standard_Boolean	IsVClosed () const
	Returns False. More...

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

Standard_Boolean	IsVPeriodic () const
	Returns False. More...

Handle_Geom_Curve	UIso (const Standard_Real U) const
	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. More...

Handle_Geom_Curve	VIso (const Standard_Real V) const
	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. More...

void	D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
	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. 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. 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. 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. 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 Nv in the direction v. //! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. More...

void	Transform (const gp_Trsf &T)
	Applies the transformation T to this cylinder. More...

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

Public Member Functions inherited from Geom_ElementarySurface
void	SetAxis (const gp_Ax1 &A1)
	Changes the main axis (ZAxis) of the elementary surface. Raised if the direction of A1 is parallel to the XAxis of the coordinate system of the surface. More...

void	SetLocation (const gp_Pnt &Loc)
	Changes the location of the local coordinates system of the surface. More...

void	SetPosition (const gp_Ax3 &A3)
	Changes the local coordinates system of the surface. More...

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

gp_Pnt	Location () const
	Returns the location point of the local coordinate system of the surface. More...

const gp_Ax3 &	Position () const
	Returns the local coordinates system of the surface. More...

virtual void	UReverse ()
	Reverses the U parametric direction of the surface. More...

virtual void	VReverse ()
	Reverses the V parametric direction of the surface. More...

GeomAbs_Shape	Continuity () const
	Returns GeomAbs_CN, the global continuity of any elementary surface. More...

Standard_Boolean	IsCNu (const Standard_Integer N) const
	Returns True. More...

Standard_Boolean	IsCNv (const Standard_Integer N) const
	Returns True. 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_ElementarySurface
gp_Ax3	pos

Detailed Description

This class defines the infinite cylindrical surface.

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

A3 defines the local coordinate system of the cylindrical surface. <br>

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::Geom_CylindricalSurface ( const gp_Cylinder & C )

Creates a CylindricalSurface from a non transient Cylinder
from package gp.

Member Function Documentation

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

virtual

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.

void Geom_CylindricalSurface::Coefficients	(	Standard_Real &	A1,
		Standard_Real &	A2,
		Standard_Real &	A3,
		Standard_Real &	B1,
		Standard_Real &	B2,
		Standard_Real &	B3,
		Standard_Real &	C1,
		Standard_Real &	C2,
		Standard_Real &	C3,
		Standard_Real &	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

Handle_Geom_Geometry Geom_CylindricalSurface::Copy ( ) const

virtual

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

Implements Geom_Geometry.

gp_Cylinder Geom_CylindricalSurface::Cylinder ( ) const

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

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

virtual

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.

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

virtual

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

Implements Geom_Surface.

void Geom_CylindricalSurface::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 current point, the first and the second derivatives
in the directions U and V.

Implements Geom_Surface.

void Geom_CylindricalSurface::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 current point, the first, the second and the
third derivatives in the directions U and V.

Implements Geom_Surface.

gp_Vec Geom_CylindricalSurface::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 in the direction u and Nv
in the direction v.
//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.

Implements Geom_Surface.

Standard_Boolean Geom_CylindricalSurface::IsUClosed ( ) const

virtual

Returns True.

Implements Geom_Surface.

Standard_Boolean Geom_CylindricalSurface::IsUPeriodic ( ) const

virtual

Returns True.

Implements Geom_Surface.

Standard_Boolean Geom_CylindricalSurface::IsVClosed ( ) const

virtual

Returns False.

Implements Geom_Surface.

Standard_Boolean Geom_CylindricalSurface::IsVPeriodic ( ) const

virtual

Returns False.

Implements Geom_Surface.

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

virtual

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') <br>
    is the same point as <br>
    me->Value(U,V).Transformed(T) <br>

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 T.ScaleFactor

Reimplemented from Geom_Surface.

Standard_Real Geom_CylindricalSurface::Radius ( ) const

Returns the radius of this cylinder.

void Geom_CylindricalSurface::SetCylinder ( const gp_Cylinder & C )

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

void Geom_CylindricalSurface::SetRadius ( const Standard_Real R )

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

void Geom_CylindricalSurface::Transform ( const gp_Trsf & T )

virtual

Applies the transformation T to this cylinder.

Implements Geom_Geometry.

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

virtual

 Computes the  parameters on the  transformed  surface for <br>

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->TranformParameters(U,V,T)
This methods multiplies V by T.ScaleFactor()

Reimplemented from Geom_Surface.

Handle_Geom_Curve Geom_CylindricalSurface::UIso ( const Standard_Real U ) const

virtual

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.

Standard_Real Geom_CylindricalSurface::UReversedParameter ( const Standard_Real U ) const

virtual

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

Implements Geom_ElementarySurface.

Handle_Geom_Curve Geom_CylindricalSurface::VIso ( const Standard_Real V ) const

virtual

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.

Standard_Real Geom_CylindricalSurface::VReversedParameter ( const Standard_Real V ) const

virtual

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

Member Function Documentation