Describes a surface of revolution (revolved surface). Such a surface is obtained by rotating a curve (called the "meridian") through a complete revolution about an axis (referred to as the "axis of revolution"). The curve and the axis must be in the same plane (the "reference plane" of the surface). Rotation around the axis of revolution in the trigonometric sense defines the u parametric direction. So the u parameter is an angle, and its origin is given by the position of the meridian on the surface. The parametric range for the u parameter is: [ 0, 2.*Pi ] The v parameter is that of the meridian. Note: A surface of revolution is built from a copy of the original meridian. As a result the original meridian is not modified when the surface is modified. The form of a surface of revolution is typically a general revolution surface (GeomAbs_RevolutionForm). It can be: More...
#include <Geom_SurfaceOfRevolution.hxx>
Public Member Functions | |
| Geom_SurfaceOfRevolution (const Handle< Geom_Curve > &C, const gp_Ax1 &A1) | |
| C : is the meridian or the referenced curve. A1 is the axis of revolution. The form of a SurfaceOfRevolution can be : . a general revolution surface (RevolutionForm), . a conical surface if the meridian is a line or a trimmed line (ConicalForm), . a cylindrical surface if the meridian is a line or a trimmed line parallel to the revolution axis (CylindricalForm), . a planar surface if the meridian is a line perpendicular to the revolution axis of the surface (PlanarForm). . a spherical surface, . a toroidal surface, . a quadric surface. Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects. More... | |
| void | SetAxis (const gp_Ax1 &A1) |
| Changes the axis of revolution. Warnings : It is not checked that the axis is in the plane of the revolved curve. More... | |
| void | SetDirection (const gp_Dir &V) |
| Changes the direction of the revolution axis. Warnings : It is not checked that the axis is in the plane of the revolved curve. More... | |
| void | SetBasisCurve (const Handle< Geom_Curve > &C) |
| Changes the revolved curve of the surface. Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects. More... | |
| void | SetLocation (const gp_Pnt &P) |
| Changes the location point of the revolution axis. Warnings : It is not checked that the axis is in the plane of the revolved curve. More... | |
| gp_Ax1 | Axis () const |
| Returns the revolution axis of the surface. More... | |
| const gp_Pnt & | Location () const |
| Returns the location point of the axis of revolution. More... | |
| gp_Ax2 | ReferencePlane () const |
| Computes the position of the reference plane of the surface defined by the basis curve and the symmetry axis. The location point is the location point of the revolution's axis, the XDirection of the plane is given by the revolution's axis and the orientation of the normal to the plane is given by the sense of revolution. More... | |
| void | UReverse () |
| Changes the orientation of this surface of revolution in the u parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence: More... | |
| Standard_Real | UReversedParameter (const Standard_Real U) const |
| Computes the u parameter on the modified surface, when reversing its u parametric direction, for any point of u parameter U on this surface of revolution. In the case of a revolved surface: More... | |
| void | VReverse () |
| Changes the orientation of this surface of revolution in the v parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence: More... | |
| Standard_Real | VReversedParameter (const Standard_Real V) const |
| Computes the v parameter on the modified surface, when reversing its v parametric direction, for any point of v parameter V on this surface of revolution. In the case of a revolved surface: 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... | |
| void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const |
| Returns the parametric bounds U1, U2 , V1 and V2 of this surface. A surface of revolution is always complete, so U1 = 0, U2 = 2*PI. More... | |
| Standard_Boolean | IsUClosed () const |
| IsUClosed always returns true. More... | |
| Standard_Boolean | IsVClosed () const |
| IsVClosed returns true if the meridian of this surface of revolution is closed. More... | |
| Standard_Boolean | IsCNu (const Standard_Integer N) const |
| IsCNu always returns true. More... | |
| Standard_Boolean | IsCNv (const Standard_Integer N) const |
| IsCNv returns true if the degree of continuity of the meridian of this surface of revolution is at least N. Raised if N < 0. More... | |
| Standard_Boolean | IsUPeriodic () const |
| Returns True. More... | |
| Standard_Boolean | IsVPeriodic () const |
| IsVPeriodic returns true if the meridian of this surface of revolution is periodic. More... | |
| Handle< Geom_Curve > | UIso (const Standard_Real U) const |
| Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution. More... | |
| Handle< Geom_Curve > | VIso (const Standard_Real V) const |
| Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution. More... | |
| void | D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const |
| Computes the point P (U, V) on the surface. U is the angle of the rotation around the revolution axis. The direction of this axis gives the sense of rotation. V is the parameter of the revolved curve. 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. Raised if the continuity of the surface is not C1. 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. Raised if the continuity of the surface is not C2. 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. Raised if the continuity of the surface is not C3. 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. More... | |
| void | LocalD0 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P) const |
| void | LocalD1 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const |
| void | LocalD2 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const |
| void | LocalD3 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, 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 |
| gp_Vec | LocalDN (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer Nu, const Standard_Integer Nv) const |
| void | Transform (const gp_Trsf &T) |
| Applies the transformation T to this surface of revolution. More... | |
| Handle< Geom_Geometry > | Copy () const |
| Creates a new object which is a copy of this surface of revolution. More... | |
 Public Member Functions inherited from Geom_SweptSurface | |
| GeomAbs_Shape | Continuity () const |
| returns the continuity of the surface : C0 : only geometric continuity, C1 : continuity of the first derivative all along the surface, C2 : continuity of the second derivative all along the surface, C3 : continuity of the third derivative all along the surface, G1 : tangency continuity all along the surface, G2 : curvature continuity all along the surface, CN : the order of continuity is infinite. More... | |
| const gp_Dir & | Direction () const |
| Returns the reference direction of the swept surface. For a surface of revolution it is the direction of the revolution axis, for a surface of linear extrusion it is the direction of extrusion. More... | |
| Handle< Geom_Curve > | BasisCurve () const |
| Returns the referenced curve of the surface. For a surface of revolution it is the revolution curve, for a surface of linear extrusion it is the extruded curve. 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 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_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 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_SweptSurface | |
| Handle< Geom_Curve > | basisCurve |
| gp_Dir | direction |
| GeomAbs_Shape | smooth |
Detailed Description
Describes a surface of revolution (revolved surface). Such a surface is obtained by rotating a curve (called the "meridian") through a complete revolution about an axis (referred to as the "axis of revolution"). The curve and the axis must be in the same plane (the "reference plane" of the surface). Rotation around the axis of revolution in the trigonometric sense defines the u parametric direction. So the u parameter is an angle, and its origin is given by the position of the meridian on the surface. The parametric range for the u parameter is: [ 0, 2.*Pi ] The v parameter is that of the meridian. Note: A surface of revolution is built from a copy of the original meridian. As a result the original meridian is not modified when the surface is modified. The form of a surface of revolution is typically a general revolution surface (GeomAbs_RevolutionForm). It can be:
- a conical surface, if the meridian is a line or a trimmed line (GeomAbs_ConicalForm),
- a cylindrical surface, if the meridian is a line or a trimmed line parallel to the axis of revolution (GeomAbs_CylindricalForm),
- a planar surface if the meridian is a line or a trimmed line perpendicular to the axis of revolution of the surface (GeomAbs_PlanarForm),
- a toroidal surface, if the meridian is a circle or a trimmed circle (GeomAbs_ToroidalForm), or
- a spherical surface, if the meridian is a circle, the center of which is located on the axis of the revolved surface (GeomAbs_SphericalForm). Warning Be careful not to construct a surface of revolution where the curve and the axis or revolution are not defined in the same plane. If you do not have a correct configuration, you can correct your initial curve, using a cylindrical projection in the reference plane.
Constructor & Destructor Documentation
| Geom_SurfaceOfRevolution::Geom_SurfaceOfRevolution | ( | const Handle< Geom_Curve > & | C, |
| const gp_Ax1 & | A1 | ||
| ) |
C : is the meridian or the referenced curve. A1 is the axis of revolution. The form of a SurfaceOfRevolution can be : . a general revolution surface (RevolutionForm), . a conical surface if the meridian is a line or a trimmed line (ConicalForm), . a cylindrical surface if the meridian is a line or a trimmed line parallel to the revolution axis (CylindricalForm), . a planar surface if the meridian is a line perpendicular to the revolution axis of the surface (PlanarForm). . a spherical surface, . a toroidal surface, . a quadric surface. Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects.
Member Function Documentation
| gp_Ax1 Geom_SurfaceOfRevolution::Axis | ( | ) | const |
Returns the revolution axis of the surface.
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Returns the parametric bounds U1, U2 , V1 and V2 of this surface. A surface of revolution is always complete, so U1 = 0, U2 = 2*PI.
Implements Geom_Surface.
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Creates a new object which is a copy of this surface of revolution.
Implements Geom_Geometry.
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Computes the point P (U, V) on the surface. U is the angle of the rotation around the revolution axis. The direction of this axis gives the sense of rotation. V is the parameter of the revolved curve.
Implements Geom_Surface.
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Computes the current point and the first derivatives in the directions U and V. Raised if the continuity of the surface is not C1.
Implements Geom_Surface.
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Computes the current point, the first and the second derivatives in the directions U and V. Raised if the continuity of the surface is not C2.
Implements Geom_Surface.
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Computes the current point, the first,the second and the third derivatives in the directions U and V. Raised if the continuity of the surface is not C3.
Implements Geom_Surface.
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Computes the derivative of order Nu in the direction u and Nv in the direction v.
Raised if the continuity of the surface is not CNu in the u direction and CNv in the v direction. Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. The following functions evaluates the local derivatives on surface. Useful to manage discontinuities on the surface. if Side = 1 -> P = S( U+,V ) if Side = -1 -> P = S( U-,V ) else P is betveen discontinuities can be evaluated using methods of global evaluations P = S( U ,V )
Implements Geom_Surface.
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IsCNu always returns true.
Implements Geom_Surface.
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IsCNv returns true if the degree of continuity of the meridian of this surface of revolution is at least N. Raised if N < 0.
Implements Geom_Surface.
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IsUClosed always returns true.
Implements Geom_Surface.
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Returns True.
Implements Geom_Surface.
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IsVClosed returns true if the meridian of this surface of revolution is closed.
Implements Geom_Surface.
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IsVPeriodic returns true if the meridian of this surface of revolution is periodic.
Implements Geom_Surface.
| void Geom_SurfaceOfRevolution::LocalD0 | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| gp_Pnt & | P | ||
| ) | const |
| void Geom_SurfaceOfRevolution::LocalD1 | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| gp_Pnt & | P, | ||
| gp_Vec & | D1U, | ||
| gp_Vec & | D1V | ||
| ) | const |
| void Geom_SurfaceOfRevolution::LocalD2 | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| gp_Pnt & | P, | ||
| gp_Vec & | D1U, | ||
| gp_Vec & | D1V, | ||
| gp_Vec & | D2U, | ||
| gp_Vec & | D2V, | ||
| gp_Vec & | D2UV | ||
| ) | const |
| void Geom_SurfaceOfRevolution::LocalD3 | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| 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 |
| gp_Vec Geom_SurfaceOfRevolution::LocalDN | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| const Standard_Integer | Nu, | ||
| const Standard_Integer | Nv | ||
| ) | const |
| const gp_Pnt& Geom_SurfaceOfRevolution::Location | ( | ) | const |
Returns the location point of the axis of revolution.
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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 BasisCurve()->ParametricTransformation(T)
Reimplemented from Geom_Surface.
| gp_Ax2 Geom_SurfaceOfRevolution::ReferencePlane | ( | ) | const |
Computes the position of the reference plane of the surface defined by the basis curve and the symmetry axis. The location point is the location point of the revolution's axis, the XDirection of the plane is given by the revolution's axis and the orientation of the normal to the plane is given by the sense of revolution.
Raised if the revolved curve is not planar or if the revolved curve and the symmetry axis are not in the same plane or if the maximum of distance between the axis and the revolved curve is lower or equal to Resolution from gp.
| void Geom_SurfaceOfRevolution::SetAxis | ( | const gp_Ax1 & | A1 | ) |
Changes the axis of revolution. Warnings : It is not checked that the axis is in the plane of the revolved curve.
| void Geom_SurfaceOfRevolution::SetBasisCurve | ( | const Handle< Geom_Curve > & | C | ) |
Changes the revolved curve of the surface. Warnings : It is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn't self-intersects.
| void Geom_SurfaceOfRevolution::SetDirection | ( | const gp_Dir & | V | ) |
Changes the direction of the revolution axis. Warnings : It is not checked that the axis is in the plane of the revolved curve.
| void Geom_SurfaceOfRevolution::SetLocation | ( | const gp_Pnt & | P | ) |
Changes the location point of the revolution axis. Warnings : It is not checked that the axis is in the plane of the revolved curve.
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Applies the transformation T to this surface of revolution.
Implements Geom_Geometry.
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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 BasisCurve()->ParametricTransformation(T)
Reimplemented from Geom_Surface.
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Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution.
Implements Geom_Surface.
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Changes the orientation of this surface of revolution in the u parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence:
- UReverse reverses the direction of the axis of revolution of this surface,
Implements Geom_Surface.
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Computes the u parameter on the modified surface, when reversing its u parametric direction, for any point of u parameter U on this surface of revolution. In the case of a revolved surface:
- UReversedParameter returns 2.*Pi - U
Implements Geom_Surface.
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Computes the U isoparametric curve of this surface of revolution. It is the curve obtained by rotating the meridian through an angle U about the axis of revolution.
Implements Geom_Surface.
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Changes the orientation of this surface of revolution in the v parametric direction. The bounds of the surface are not changed but the given parametric direction is reversed. Hence the orientation of the surface is reversed. As a consequence:
- VReverse reverses the meridian of this surface of revolution.
Implements Geom_Surface.
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Computes the v parameter on the modified surface, when reversing its v parametric direction, for any point of v parameter V on this surface of revolution. In the case of a revolved surface:
- VReversedParameter returns the reversed parameter given by the function ReversedParameter called with V on the meridian.
Implements Geom_Surface.
The documentation for this class was generated from the following file:
