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:
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_Ax3 & | Position () 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_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 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_Curve > | UIso (const Standard_Real U) const =0 |
| Computes the U isoparametric curve. More... | |
| virtual Handle< Geom_Curve > | VIso (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_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 |
| virtual Handle< Geom_Geometry > | Copy () 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_Transient & | operator= (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_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. 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:
- the plane, and
- four simple surfaces of revolution: the cylinder, the cone, the sphere and the torus. An elementary surface inherits the common behavior of Geom_Surface surfaces. Furthermore, it is located in 3D space by a coordinate system (a gp_Ax3 object) which is also its local coordinate system. Any elementary surface is oriented, i.e. the normal vector is always defined, and gives the same orientation to the surface, at any point on the surface. In topology this property is referred to as the "outside region of the surface". This orientation is related to the two parametric directions of the surface. Rotation of a surface around the "main Axis" of its coordinate system, in the trigonometric sense given by the "X Direction" and the "Y Direction" of the coordinate system, defines the u parametric direction of that elementary surface of revolution. This is the default construction mode. It is also possible, however, to change the orientation of a surface by reversing one of the two parametric directions: use the UReverse or VReverse functions to change the orientation of the normal at any point on the surface. Warning The local coordinate system of an elementary surface is not necessarily direct:
- if it is direct, the trigonometric sense defined by its "main Direction" is the same as the trigonometric sense defined by its two vectors "X Direction" and "Y Direction": "main Direction" = "X Direction" ^ "Y Direction"
- if it is indirect, the two definitions of trigonometric sense are opposite: "main Direction" = - "X Direction" ^ "Y Direction"
Member Function Documentation
◆ Axis()
| gp_Ax1 Geom_ElementarySurface::Axis | ( | ) | const |
Returns the main axis of the surface (ZAxis).
◆ Continuity()
|
overridevirtual |
Returns GeomAbs_CN, the global continuity of any elementary surface.
Implements Geom_Surface.
◆ IsCNu()
|
overridevirtual |
Returns True.
Implements Geom_Surface.
◆ IsCNv()
|
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()
|
overridevirtual |
Reverses the U parametric direction of the surface.
Implements Geom_Surface.
Reimplemented in Geom_Plane.
◆ UReversedParameter()
|
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()
|
overridevirtual |
Reverses the V parametric direction of the surface.
Implements Geom_Surface.
Reimplemented in Geom_ConicalSurface, and Geom_Plane.
◆ VReversedParameter()
|
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
|
protected |
The documentation for this class was generated from the following file:
