Describes a surface of linear extrusion ("extruded surface"), e.g. a generalized cylinder. Such a surface is obtained by sweeping a curve (called the "extruded curve" or "basis") in a given direction (referred to as the "direction of extrusion" and defined by a unit vector). The u parameter is along the extruded curve. The v parameter is along the direction of extrusion. The parameter range for the u parameter is defined by the reference curve. The parameter range for the v parameter is ] - infinity, + infinity [. The position of the curve gives the origin of the v parameter. The surface is "CN" in the v parametric direction. The form of a surface of linear extrusion is generally a ruled surface (GeomAbs_RuledForm). It can be: More...
#include <Geom_SurfaceOfLinearExtrusion.hxx>
Public Member Functions | |
| Geom_SurfaceOfLinearExtrusion (const Handle< Geom_Curve > &C, const gp_Dir &V) | |
| V is the direction of extrusion. C is the extruded curve. The form of a SurfaceOfLinearExtrusion can be : . ruled surface (RuledForm), . a cylindrical surface if the extruded curve is a circle or a trimmed circle (CylindricalForm), . a plane surface if the extruded curve is a Line (PlanarForm). Warnings : Degenerated surface cases are not detected. For example if the curve C is a line and V is parallel to the direction of this line. More... | |
| void | SetDirection (const gp_Dir &V) |
| Assigns V as the "direction of extrusion" for this surface of linear extrusion. More... | |
| void | SetBasisCurve (const Handle< Geom_Curve > &C) |
| Modifies this surface of linear extrusion by redefining its "basis curve" (the "extruded curve"). More... | |
| void | UReverse () |
| Changes the orientation of this surface of linear extrusion 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. In the case of a surface of linear extrusion: More... | |
| Standard_Real | UReversedParameter (const Standard_Real U) const |
| Computes the u parameter on the modified surface, produced by reversing its u parametric direction, for any point of u parameter U on this surface of linear extrusion. In the case of an extruded surface: More... | |
| void | VReverse () |
| Changes the orientation of this surface of linear extrusion 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. In the case of a surface of linear extrusion: More... | |
| Standard_Real | VReversedParameter (const Standard_Real V) const |
| Computes the v parameter on the modified surface, produced by reversing its u v parametric direction, for any point of v parameter V on this surface of linear extrusion. In the case of an extruded surface VReverse returns -V. 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 of linear extrusion. A surface of linear extrusion is infinite in the v parametric direction, so: More... | |
| Standard_Boolean | IsUClosed () const |
| IsUClosed returns true if the "basis curve" of this surface of linear extrusion is closed. More... | |
| Standard_Boolean | IsVClosed () const |
| IsVClosed always returns false. More... | |
| Standard_Boolean | IsCNu (const Standard_Integer N) const |
| IsCNu returns true if the degree of continuity for the "basis curve" of this surface of linear extrusion is at least N. Raises RangeError if N < 0. More... | |
| Standard_Boolean | IsCNv (const Standard_Integer N) const |
| IsCNv always returns true. More... | |
| Standard_Boolean | IsUPeriodic () const |
| IsUPeriodic returns true if the "basis curve" of this surface of linear extrusion is periodic. More... | |
| Standard_Boolean | IsVPeriodic () const |
| IsVPeriodic always returns false. More... | |
| Handle< Geom_Curve > | UIso (const Standard_Real U) const |
| Computes the U isoparametric curve of this surface of linear extrusion. This is the line parallel to the direction of extrusion, passing through the point of parameter U of the basis curve. More... | |
| Handle< Geom_Curve > | VIso (const Standard_Real V) const |
| Computes the V isoparametric curve of this surface of linear extrusion. This curve is obtained by translating the extruded curve in the direction of extrusion, with the magnitude V. More... | |
| void | D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const |
| Computes the point P (U, V) on the surface. The parameter U is the parameter on the extruded curve. The parametrization V is a linear parametrization, and the direction of parametrization is the direction of extrusion. If the point is on the extruded curve, V = 0.0. 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. Raises UndefinedDerivative 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 |
| — Purpose ; Computes the current point, the first and the second derivatives in the directions U and V. Raises UndefinedDerivative 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. Raises UndefinedDerivative 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. Raises UndefinedDerivative if the continuity of the surface is not CNu in the u direction and CNv in the v direction. Raises RangeError if Nu + Nv < 1 or Nu < 0 or Nv < 0. More... | |
| void | LocalD0 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P) const |
| 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 ) More... | |
| 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 linear extrusion. 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... | |
| Handle< Geom_Geometry > | Copy () const |
| Creates a new object which is a copy of this surface of linear extrusion. 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 linear extrusion ("extruded surface"), e.g. a generalized cylinder. Such a surface is obtained by sweeping a curve (called the "extruded curve" or "basis") in a given direction (referred to as the "direction of extrusion" and defined by a unit vector). The u parameter is along the extruded curve. The v parameter is along the direction of extrusion. The parameter range for the u parameter is defined by the reference curve. The parameter range for the v parameter is ] - infinity, + infinity [. The position of the curve gives the origin of the v parameter. The surface is "CN" in the v parametric direction. The form of a surface of linear extrusion is generally a ruled surface (GeomAbs_RuledForm). It can be:
- a cylindrical surface, if the extruded curve is a circle, or a trimmed circle, with an axis parallel to the direction of extrusion (GeomAbs_CylindricalForm), or
- a planar surface, if the extruded curve is a line (GeomAbs_PlanarForm). Note: The surface of extrusion is built from a copy of the original basis curve, so the original curve is not modified when the surface is modified. Warning Degenerate surfaces are not detected. A degenerate surface is obtained, for example, when the extruded curve is a line and the direction of extrusion is parallel to that line.
Constructor & Destructor Documentation
| Geom_SurfaceOfLinearExtrusion::Geom_SurfaceOfLinearExtrusion | ( | const Handle< Geom_Curve > & | C, |
| const gp_Dir & | V | ||
| ) |
V is the direction of extrusion. C is the extruded curve. The form of a SurfaceOfLinearExtrusion can be : . ruled surface (RuledForm), . a cylindrical surface if the extruded curve is a circle or a trimmed circle (CylindricalForm), . a plane surface if the extruded curve is a Line (PlanarForm). Warnings : Degenerated surface cases are not detected. For example if the curve C is a line and V is parallel to the direction of this line.
Member Function Documentation
|
virtual |
Returns the parametric bounds U1, U2, V1 and V2 of this surface of linear extrusion. A surface of linear extrusion is infinite in the v parametric direction, so:
- V1 = Standard_Real::RealFirst()
- V2 = Standard_Real::RealLast().
Implements Geom_Surface.
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virtual |
Creates a new object which is a copy of this surface of linear extrusion.
Implements Geom_Geometry.
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virtual |
Computes the point P (U, V) on the surface. The parameter U is the parameter on the extruded curve. The parametrization V is a linear parametrization, and the direction of parametrization is the direction of extrusion. If the point is on the extruded curve, V = 0.0.
Implements Geom_Surface.
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virtual |
Computes the current point and the first derivatives in the directions U and V. Raises UndefinedDerivative if the continuity of the surface is not C1.
Implements Geom_Surface.
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— Purpose ; Computes the current point, the first and the second derivatives in the directions U and V. Raises UndefinedDerivative if the continuity of the surface is not C2.
Implements Geom_Surface.
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virtual |
Computes the current point, the first,the second and the third derivatives in the directions U and V. Raises UndefinedDerivative if the continuity of the surface is not C3.
Implements Geom_Surface.
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virtual |
Computes the derivative of order Nu in the direction u and Nv in the direction v. Raises UndefinedDerivative if the continuity of the surface is not CNu in the u direction and CNv in the v direction. Raises RangeError if Nu + Nv < 1 or Nu < 0 or Nv < 0.
Implements Geom_Surface.
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IsCNu returns true if the degree of continuity for the "basis curve" of this surface of linear extrusion is at least N. Raises RangeError if N < 0.
Implements Geom_Surface.
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IsCNv always returns true.
Implements Geom_Surface.
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IsUClosed returns true if the "basis curve" of this surface of linear extrusion is closed.
Implements Geom_Surface.
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IsUPeriodic returns true if the "basis curve" of this surface of linear extrusion is periodic.
Implements Geom_Surface.
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IsVClosed always returns false.
Implements Geom_Surface.
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IsVPeriodic always returns false.
Implements Geom_Surface.
| void Geom_SurfaceOfLinearExtrusion::LocalD0 | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| gp_Pnt & | P | ||
| ) | const |
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 )
| void Geom_SurfaceOfLinearExtrusion::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_SurfaceOfLinearExtrusion::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_SurfaceOfLinearExtrusion::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_SurfaceOfLinearExtrusion::LocalDN | ( | const Standard_Real | U, |
| const Standard_Real | V, | ||
| const Standard_Integer | USide, | ||
| const Standard_Integer | Nu, | ||
| const Standard_Integer | Nv | ||
| ) | const |
|
virtual |
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 U by BasisCurve()->ParametricTransformation(T) V by T.ScaleFactor()
Reimplemented from Geom_Surface.
| void Geom_SurfaceOfLinearExtrusion::SetBasisCurve | ( | const Handle< Geom_Curve > & | C | ) |
Modifies this surface of linear extrusion by redefining its "basis curve" (the "extruded curve").
| void Geom_SurfaceOfLinearExtrusion::SetDirection | ( | const gp_Dir & | V | ) |
Assigns V as the "direction of extrusion" for this surface of linear extrusion.
|
virtual |
Applies the transformation T to this surface of linear extrusion.
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 : U by BasisCurve()->ParametricTransformation(T) V by T.ScaleFactor()
Reimplemented from Geom_Surface.
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virtual |
Computes the U isoparametric curve of this surface of linear extrusion. This is the line parallel to the direction of extrusion, passing through the point of parameter U of the basis curve.
Implements Geom_Surface.
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virtual |
Changes the orientation of this surface of linear extrusion 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. In the case of a surface of linear extrusion:
- UReverse reverses the basis curve, and
- VReverse reverses the direction of linear extrusion.
Implements Geom_Surface.
|
virtual |
Computes the u parameter on the modified surface, produced by reversing its u parametric direction, for any point of u parameter U on this surface of linear extrusion. In the case of an extruded surface:
- UReverseParameter returns the reversed parameter given by the function ReversedParameter called with U on the basis curve,
Implements Geom_Surface.
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virtual |
Computes the V isoparametric curve of this surface of linear extrusion. This curve is obtained by translating the extruded curve in the direction of extrusion, with the magnitude V.
Implements Geom_Surface.
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virtual |
Changes the orientation of this surface of linear extrusion 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. In the case of a surface of linear extrusion:
- UReverse reverses the basis curve, and
- VReverse reverses the direction of linear extrusion.
Implements Geom_Surface.
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virtual |
Computes the v parameter on the modified surface, produced by reversing its u v parametric direction, for any point of v parameter V on this surface of linear extrusion. In the case of an extruded surface VReverse returns -V.
Implements Geom_Surface.
The documentation for this class was generated from the following file:
