Open CASCADE Technology  7.3.1.dev
Public Member Functions
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:
Inheritance graph
[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 () override
 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 override
 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 () override
 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 override
 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 override
 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 override
 IsUClosed returns true if the "basis curve" of this surface of linear extrusion is closed. More...
 
Standard_Boolean IsVClosed () const override
 IsVClosed always returns false. More...
 
Standard_Boolean IsCNu (const Standard_Integer N) const override
 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 override
 IsCNv always returns true. More...
 
Standard_Boolean IsUPeriodic () const override
 IsUPeriodic returns true if the "basis curve" of this surface of linear extrusion is periodic. More...
 
Standard_Boolean IsVPeriodic () const override
 IsVPeriodic always returns false. More...
 
Handle< Geom_CurveUIso (const Standard_Real U) const override
 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 override
 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 override
 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 override
 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 override
 — 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 override
 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 override
 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 Transform (const gp_Trsf &T) override
 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 override
 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 override
 Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...
 
Handle< Geom_GeometryCopy () const override
 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 override
 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 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 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_TransientThis () 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...
 

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...
 
- 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:

Constructor & Destructor Documentation

◆ Geom_SurfaceOfLinearExtrusion()

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

◆ Bounds()

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

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.

◆ Copy()

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

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

Implements Geom_Geometry.

◆ D0()

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

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.

◆ D1()

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

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.

◆ D2()

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
overridevirtual

— 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.

◆ D3()

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
overridevirtual

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.

◆ DN()

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

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.

◆ IsCNu()

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

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.

◆ IsCNv()

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

IsCNv always returns true.

Implements Geom_Surface.

◆ IsUClosed()

Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsUClosed ( ) const
overridevirtual

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

Implements Geom_Surface.

◆ IsUPeriodic()

Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsUPeriodic ( ) const
overridevirtual

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

Implements Geom_Surface.

◆ IsVClosed()

Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsVClosed ( ) const
overridevirtual

IsVClosed always returns false.

Implements Geom_Surface.

◆ IsVPeriodic()

Standard_Boolean Geom_SurfaceOfLinearExtrusion::IsVPeriodic ( ) const
overridevirtual

IsVPeriodic always returns false.

Implements Geom_Surface.

◆ ParametricTransformation()

virtual gp_GTrsf2d Geom_SurfaceOfLinearExtrusion::ParametricTransformation ( const gp_Trsf T) const
overridevirtual

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.

◆ SetBasisCurve()

void Geom_SurfaceOfLinearExtrusion::SetBasisCurve ( const Handle< Geom_Curve > &  C)

Modifies this surface of linear extrusion by redefining its "basis curve" (the "extruded curve").

◆ SetDirection()

void Geom_SurfaceOfLinearExtrusion::SetDirection ( const gp_Dir V)

Assigns V as the "direction of extrusion" for this surface of linear extrusion.

◆ Transform()

void Geom_SurfaceOfLinearExtrusion::Transform ( const gp_Trsf T)
overridevirtual

Applies the transformation T to this surface of linear extrusion.

Implements Geom_Geometry.

◆ TransformParameters()

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

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.

◆ UIso()

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

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.

◆ UReverse()

void Geom_SurfaceOfLinearExtrusion::UReverse ( )
overridevirtual

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.

◆ UReversedParameter()

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

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.

◆ VIso()

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

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.

◆ VReverse()

void Geom_SurfaceOfLinearExtrusion::VReverse ( )
overridevirtual

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.

◆ VReversedParameter()

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

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: