Geom_SurfaceOfLinearExtrusion Class Reference

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>`

Inheritance diagram for Geom_SurfaceOfLinearExtrusion: [legend]

## 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_CurveUIso (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_CurveVIso (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_GeometryCopy () 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_DirDirection () 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_CurveBasisCurve () 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_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 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_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 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_Transientoperator= (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

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... Protected Attributes inherited from Geom_SweptSurface
Handle< Geom_CurvebasisCurve

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

 void Geom_SurfaceOfLinearExtrusion::Bounds ( Standard_Real & U1, Standard_Real & U2, Standard_Real & V1, Standard_Real & V2 ) const
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.

 Handle< Geom_Geometry > Geom_SurfaceOfLinearExtrusion::Copy ( ) const
virtual

Creates a new object which is a copy of this surface of linear extrusion.

Implements Geom_Geometry.

 void Geom_SurfaceOfLinearExtrusion::D0 ( const Standard_Real U, const Standard_Real V, gp_Pnt & P ) const
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.

 void Geom_SurfaceOfLinearExtrusion::D1 ( const Standard_Real U, const Standard_Real V, gp_Pnt & P, gp_Vec & D1U, gp_Vec & D1V ) const
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.

 void Geom_SurfaceOfLinearExtrusion::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
virtual

— 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.

 void Geom_SurfaceOfLinearExtrusion::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
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.

 gp_Vec Geom_SurfaceOfLinearExtrusion::DN ( const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv ) const
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.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsCNu ( const Standard_Integer N ) const
virtual

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.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsCNv ( const Standard_Integer N ) const
virtual

IsCNv always returns true.

Implements Geom_Surface.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsUClosed ( ) const
virtual

IsUClosed returns true if the "basis curve" of this surface of linear extrusion is closed.

Implements Geom_Surface.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsUPeriodic ( ) const
virtual

IsUPeriodic returns true if the "basis curve" of this surface of linear extrusion is periodic.

Implements Geom_Surface.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsVClosed ( ) const
virtual

IsVClosed always returns false.

Implements Geom_Surface.

 Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsVPeriodic ( ) const
virtual

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 gp_GTrsf2d Geom_SurfaceOfLinearExtrusion::ParametricTransformation ( const gp_Trsf & T ) 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.

 void Geom_SurfaceOfLinearExtrusion::Transform ( const gp_Trsf & T )
virtual

Applies the transformation T to this surface of linear extrusion.

Implements Geom_Geometry.

 virtual void Geom_SurfaceOfLinearExtrusion::TransformParameters ( Standard_Real & U, Standard_Real & V, const gp_Trsf & T ) const
virtual

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.

 Handle< Geom_Curve > Geom_SurfaceOfLinearExtrusion::UIso ( const Standard_Real U ) const
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.

 void Geom_SurfaceOfLinearExtrusion::UReverse ( )
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.

 Standard_Real Geom_SurfaceOfLinearExtrusion::UReversedParameter ( const Standard_Real U ) const
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.

 Handle< Geom_Curve > Geom_SurfaceOfLinearExtrusion::VIso ( const Standard_Real V ) const
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.

 void Geom_SurfaceOfLinearExtrusion::VReverse ( )
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.

 Standard_Real Geom_SurfaceOfLinearExtrusion::VReversedParameter ( const Standard_Real V ) const
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: