Open CASCADE Technology  7.3.1.dev
Public Member Functions | Protected Attributes
Geom_ElementarySurface Class Referenceabstract

Describes the common behavior of surfaces which have a simple parametric equation in a local coordinate system. The Geom package provides several implementations of concrete elementary surfaces: More...

#include <Geom_ElementarySurface.hxx>

Inheritance diagram for Geom_ElementarySurface:
Inheritance graph
[legend]

Public Member Functions

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 Standard_Real UReversedParameter (const Standard_Real U) const override=0
 Return the parameter on the Ureversed surface for the point of parameter U on <me>. More...
 
virtual void VReverse () override
 Reverses the V parametric direction of the surface. More...
 
virtual Standard_Real VReversedParameter (const Standard_Real V) const override=0
 Return the parameter on the Vreversed surface for the point of parameter V on <me>. 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 void TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const
 Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. More...
 
virtual gp_GTrsf2d ParametricTransformation (const gp_Trsf &T) const
 Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...
 
virtual void Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const =0
 Returns the parametric bounds U1, U2, V1 and V2 of this surface. If the surface is infinite, this function can return a value equal to Precision::Infinite: instead of Standard_Real::LastReal. More...
 
virtual Standard_Boolean IsUClosed () const =0
 Checks whether this surface is closed in the u parametric direction. Returns true if, in the u parametric direction: taking uFirst and uLast as the parametric bounds in the u parametric direction, for each parameter v, the distance between the points P(uFirst, v) and P(uLast, v) is less than or equal to gp::Resolution(). More...
 
virtual Standard_Boolean IsVClosed () const =0
 Checks whether this surface is closed in the u parametric direction. Returns true if, in the v parametric direction: taking vFirst and vLast as the parametric bounds in the v parametric direction, for each parameter u, the distance between the points P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution(). More...
 
virtual Standard_Boolean IsUPeriodic () const =0
 Checks if this surface is periodic in the u parametric direction. Returns true if: 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_Boolean IsVPeriodic () const =0
 Checks if this surface is periodic in the v parametric direction. Returns true if: 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...
 
virtual Handle< Geom_CurveUIso (const Standard_Real U) const =0
 Computes the U isoparametric curve. More...
 
virtual Handle< Geom_CurveVIso (const Standard_Real V) const =0
 Computes the V isoparametric curve. More...
 
virtual void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const =0
 Computes the point of parameter U,V on the surface. More...
 
virtual void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const =0
 Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1. More...
 
virtual 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 =0
 Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...
 
virtual 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 =0
 Computes the point P, the first,the second and the third derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More...
 
virtual gp_Vec DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const =0
 —Purpose ; Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). 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...
 
virtual void Transform (const gp_Trsf &T)=0
 Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom). 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
 
virtual Handle< Geom_GeometryCopy () const =0
 Creates a new object which is a copy of this geometric object. More...
 
- 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...
 

Protected Attributes

gp_Ax3 pos
 

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...
 

Detailed Description

Describes the common behavior of surfaces which have a simple parametric equation in a local coordinate system. The Geom package provides several implementations of concrete elementary surfaces:

Member Function Documentation

◆ Axis()

gp_Ax1 Geom_ElementarySurface::Axis ( ) const

Returns the main axis of the surface (ZAxis).

◆ Continuity()

GeomAbs_Shape Geom_ElementarySurface::Continuity ( ) const
overridevirtual

Returns GeomAbs_CN, the global continuity of any elementary surface.

Implements Geom_Surface.

◆ IsCNu()

Standard_Boolean Geom_ElementarySurface::IsCNu ( const Standard_Integer  N) const
overridevirtual

Returns True.

Implements Geom_Surface.

◆ IsCNv()

Standard_Boolean Geom_ElementarySurface::IsCNv ( const Standard_Integer  N) const
overridevirtual

Returns True.

Implements Geom_Surface.

◆ Location()

gp_Pnt Geom_ElementarySurface::Location ( ) const

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

◆ Position()

const gp_Ax3& Geom_ElementarySurface::Position ( ) const

Returns the local coordinates system of the surface.

◆ SetAxis()

void Geom_ElementarySurface::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.

◆ SetLocation()

void Geom_ElementarySurface::SetLocation ( const gp_Pnt Loc)

Changes the location of the local coordinates system of the surface.

◆ SetPosition()

void Geom_ElementarySurface::SetPosition ( const gp_Ax3 A3)

Changes the local coordinates system of the surface.

◆ UReverse()

virtual void Geom_ElementarySurface::UReverse ( )
overridevirtual

Reverses the U parametric direction of the surface.

Implements Geom_Surface.

Reimplemented in Geom_Plane.

◆ UReversedParameter()

virtual Standard_Real Geom_ElementarySurface::UReversedParameter ( const Standard_Real  U) const
overridepure virtual

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

me->UReversed()->Value(me->UReversedParameter(U),V) is the same point as me->Value(U,V)

Implements Geom_Surface.

Implemented in Geom_ToroidalSurface, Geom_ConicalSurface, Geom_SphericalSurface, Geom_Plane, and Geom_CylindricalSurface.

◆ VReverse()

virtual void Geom_ElementarySurface::VReverse ( )
overridevirtual

Reverses the V parametric direction of the surface.

Implements Geom_Surface.

Reimplemented in Geom_ConicalSurface, and Geom_Plane.

◆ VReversedParameter()

virtual Standard_Real Geom_ElementarySurface::VReversedParameter ( const Standard_Real  V) const
overridepure virtual

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

me->VReversed()->Value(U,me->VReversedParameter(V)) is the same point as me->Value(U,V)

Implements Geom_Surface.

Implemented in Geom_ToroidalSurface, Geom_ConicalSurface, Geom_Plane, Geom_SphericalSurface, and Geom_CylindricalSurface.

Field Documentation

◆ pos

gp_Ax3 Geom_ElementarySurface::pos
protected

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