Describes a surface of linear extrusion ("extruded <br> surface"), e.g. a generalized cylinder. Such a surface
is obtained by sweeping a curve (called the "extruded <br> 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 <br> surface of linear extrusion. More...

void	SetBasisCurve (const Handle< Geom_Curve > &C)
	Modifies this surface of linear extrusion by redefining <br> its "basis curve" (the "extruded curve"). More...

void	UReverse ()
	Changes the orientation of this surface of linear <br> 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 <br> 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 <br> 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 <br> 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 <br> 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 <br> 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 <br> "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 <br> 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 <br> 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 <br> 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 <br> 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 <br> 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 <br> the transform of the point of parameters U,V on <me>. <br> 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() More...

virtual gp_GTrsf2d	ParametricTransformation (const gp_Trsf &T) const
	Returns a 2d transformation used to find the new <br> parameters of a point on the transformed surface. <br> 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() 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 <br> 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. <br> It is implemented with D0 Raised only for an "OffsetSurface" if it is not possible to compute the current point. 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 void	ShallowDump (Standard_OStream &) const

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 <br> surface"), e.g. a generalized cylinder. Such a surface
is obtained by sweeping a curve (called the "extruded <br> 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 <br>

this surface of linear extrusion.
A surface of linear extrusion is infinite in the v
parametric direction, so:

- V1 = Standard_Real::RealFirst() <br>

V2 = Standard_Real::RealLast().

void Geom_SurfaceOfLinearExtrusion::LocalD0	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	USide,
		gp_Pnt &	P
	)		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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation