This class defines the infinite cylindrical surface. More...
#include <Geom_CylindricalSurface.hxx>
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 |
| 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 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 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 |
| 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 |
| 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. 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 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_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::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::Geom_CylindricalSurface | ( | const gp_Cylinder & | C | ) |
Creates a CylindricalSurface from a non transient Cylinder from package gp.
Member Function Documentation
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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.
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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>.
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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.
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Computes the current point and the first derivatives in the directions U and V.
Implements Geom_Surface.
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Computes the current point, the first and the second derivatives in the directions U and V.
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.
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 Nu + Nv < 1 or Nu < 0 or Nv < 0.
Implements Geom_Surface.
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Returns True.
Implements Geom_Surface.
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Returns True.
Implements Geom_Surface.
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Returns False.
Implements Geom_Surface.
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Returns False.
Implements Geom_Surface.
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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 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.
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Applies the transformation T to this cylinder.
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 T.ScaleFactor()
Reimplemented from Geom_Surface.
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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.
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Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U.
Implements Geom_ElementarySurface.
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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.
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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:
