Open CASCADE Technology  7.3.1.dev
Public Member Functions
Geom_CylindricalSurface Class Reference

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

#include <Geom_CylindricalSurface.hxx>

Inheritance diagram for Geom_CylindricalSurface:
Inheritance graph
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Public Member Functions

 Geom_CylindricalSurface (const gp_Ax3 &A3, const Standard_Real 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. 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 override
 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 override
 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 override
 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->TranformParameters(U,V,T) This methods multiplies V by T.ScaleFactor() More...
 
virtual gp_GTrsf2d ParametricTransformation (const gp_Trsf &T) const override
 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 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 override
 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.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. More...
 
Standard_Real Radius () const
 Returns the radius of this cylinder. More...
 
Standard_Boolean IsUClosed () const override
 Returns True. More...
 
Standard_Boolean IsVClosed () const override
 Returns False. More...
 
Standard_Boolean IsUPeriodic () const override
 Returns True. More...
 
Standard_Boolean IsVPeriodic () const override
 Returns False. More...
 
Handle< Geom_CurveUIso (const Standard_Real U) const override
 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_CurveVIso (const Standard_Real V) const override
 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 override
 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 override
 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 override
 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 override
 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 override
 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) override
 Applies the transformation T to this cylinder. More...
 
Handle< Geom_GeometryCopy () const override
 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. 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_Ax3Position () const
 Returns the local coordinates system of the surface. More...
 
virtual void UReverse () override
 Reverses the U parametric direction of the surface. More...
 
virtual void VReverse () override
 Reverses the V parametric direction of the surface. More...
 
GeomAbs_Shape Continuity () const override
 Returns GeomAbs_CN, the global continuity of any elementary surface. More...
 
Standard_Boolean IsCNu (const Standard_Integer N) const override
 Returns True. More...
 
Standard_Boolean IsCNv (const Standard_Integer N) const override
 Returns True. More...
 
- Public Member Functions inherited from Geom_Surface
Handle< Geom_SurfaceUReversed () 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_SurfaceVReversed () 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 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. 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_GeometryMirrored (const gp_Pnt &P) const
 
Handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const
 
Handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const
 
Handle< Geom_GeometryRotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 
Handle< Geom_GeometryScaled (const gp_Pnt &P, const Standard_Real S) const
 
Handle< Geom_GeometryTransformed (const gp_Trsf &T) const
 
Handle< Geom_GeometryTranslated (const gp_Vec &V) const
 
Handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const
 
- Public Member Functions inherited from Standard_Transient
 Standard_Transient ()
 Empty constructor. More...
 
 Standard_Transient (const Standard_Transient &)
 Copy constructor – does nothing. More...
 
Standard_Transientoperator= (const Standard_Transient &)
 Assignment operator, needed to avoid copying reference counter. More...
 
virtual ~Standard_Transient ()
 Destructor must be virtual. More...
 
virtual void Delete () const
 Memory deallocator for transient classes. More...
 
virtual const opencascade::handle< Standard_Type > & DynamicType () const
 Returns a type descriptor about this object. More...
 
Standard_Boolean IsInstance (const opencascade::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 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. 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...
 
Standard_TransientThis () 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. More...
 
Standard_Integer GetRefCount () const
 Get the reference counter of this object. More...
 
void IncrementRefCounter () const
 Increments the reference counter of this object. More...
 
Standard_Integer DecrementRefCounter () const
 Decrements the reference counter of this object; returns the decremented value. More...
 

Additional Inherited Members

- Public Types inherited from Standard_Transient
typedef void base_type
 Returns a type descriptor about this object. More...
 
- Static Public Member Functions inherited from Standard_Transient
static const char * get_type_name ()
 Returns a type descriptor about this object. More...
 
static const opencascade::handle< Standard_Type > & get_type_descriptor ()
 Returns type descriptor of Standard_Transient class. More...
 
- 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, 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 Standard_Real  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 Cylinder from package gp.

Member Function Documentation

◆ Bounds()

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

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 ( 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.

◆ Copy()

Handle< Geom_Geometry > Geom_CylindricalSurface::Copy ( ) const
overridevirtual

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>.

◆ D0()

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

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.

◆ D1()

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

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

Implements Geom_Surface.

◆ D2()

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
overridevirtual

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

Implements Geom_Surface.

◆ D3()

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
overridevirtual

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

Implements Geom_Surface.

◆ DN()

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

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()

Standard_Boolean Geom_CylindricalSurface::IsUClosed ( ) const
overridevirtual

Returns True.

Implements Geom_Surface.

◆ IsUPeriodic()

Standard_Boolean Geom_CylindricalSurface::IsUPeriodic ( ) const
overridevirtual

Returns True.

Implements Geom_Surface.

◆ IsVClosed()

Standard_Boolean Geom_CylindricalSurface::IsVClosed ( ) const
overridevirtual

Returns False.

Implements Geom_Surface.

◆ IsVPeriodic()

Standard_Boolean Geom_CylindricalSurface::IsVPeriodic ( ) const
overridevirtual

Returns False.

Implements Geom_Surface.

◆ ParametricTransformation()

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

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 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.

◆ Radius()

Standard_Real 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 Standard_Real  R)

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

◆ Transform()

void Geom_CylindricalSurface::Transform ( const gp_Trsf T)
overridevirtual

Applies the transformation T to this cylinder.

Implements Geom_Geometry.

◆ TransformParameters()

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

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

Reimplemented from Geom_Surface.

◆ UIso()

Handle< Geom_Curve > Geom_CylindricalSurface::UIso ( const Standard_Real  U) const
overridevirtual

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()

Standard_Real Geom_CylindricalSurface::UReversedParameter ( const Standard_Real  U) const
overridevirtual

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

Implements Geom_ElementarySurface.

◆ VIso()

Handle< Geom_Curve > Geom_CylindricalSurface::VIso ( const Standard_Real  V) const
overridevirtual

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()

Standard_Real Geom_CylindricalSurface::VReversedParameter ( const Standard_Real  V) const
overridevirtual

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: