defined the function used by SweepApproximation to perform sweeping application. More...

#include <Approx_SweepFunction.hxx>

Inheritance diagram for Approx_SweepFunction:

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Public Member Functions
virtual Standard_Boolean	D0 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths)=0
	compute the section for v = param

virtual Standard_Boolean	D1 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, TColgp_Array1OfPnt &Poles, TColgp_Array1OfVec &DPoles, TColgp_Array1OfPnt2d &Poles2d, TColgp_Array1OfVec2d &DPoles2d, TColStd_Array1OfReal &Weigths, TColStd_Array1OfReal &DWeigths)
	compute the first derivative in v direction of the section for v = param Warning : It used only for C1 or C2 approximation

virtual Standard_Boolean	D2 (const Standard_Real Param, const Standard_Real First, const Standard_Real Last, TColgp_Array1OfPnt &Poles, TColgp_Array1OfVec &DPoles, TColgp_Array1OfVec &D2Poles, TColgp_Array1OfPnt2d &Poles2d, TColgp_Array1OfVec2d &DPoles2d, TColgp_Array1OfVec2d &D2Poles2d, TColStd_Array1OfReal &Weigths, TColStd_Array1OfReal &DWeigths, TColStd_Array1OfReal &D2Weigths)
	compute the second derivative in v direction of the section for v = param Warning : It used only for C2 approximation

virtual Standard_Integer	Nb2dCurves () const =0
	get the number of 2d curves to approximate.

virtual void	SectionShape (Standard_Integer &NbPoles, Standard_Integer &NbKnots, Standard_Integer &Degree) const =0
	get the format of an section

virtual void	Knots (TColStd_Array1OfReal &TKnots) const =0
	get the Knots of the section

virtual void	Mults (TColStd_Array1OfInteger &TMults) const =0
	get the Multplicities of the section

virtual Standard_Boolean	IsRational () const =0
	Returns if the sections are rational or not.

virtual Standard_Integer	NbIntervals (const GeomAbs_Shape S) const =0
	Returns the number of intervals for continuity ~~. May be one if Continuity(me) >=~~

virtual void	Intervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const =0
	Stores in <T> the parameters bounding the intervals of continuity .

virtual void	SetInterval (const Standard_Real First, const Standard_Real Last)=0
	Sets the bounds of the parametric interval on the fonction This determines the derivatives in these values if the function is not Cn.

virtual void	Resolution (const Standard_Integer Index, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const
	Returns the resolutions in the sub-space 2d <Index> This information is usfull to find an good tolerance in 2d approximation.

virtual void	GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, TColStd_Array1OfReal &Tol3d) const =0
	Returns the tolerance to reach in approximation to satisfy. BoundTol error at the Boundary AngleTol tangent error at the Boundary (in radian) SurfTol error inside the surface.

virtual void	SetTolerance (const Standard_Real Tol3d, const Standard_Real Tol2d)=0
	Is useful, if (me) have to run numerical algorithm to perform D0, D1 or D2.

virtual gp_Pnt	BarycentreOfSurf () const
	Get the barycentre of Surface. An very poor estimation is sufficient. This information is useful to perform well conditioned rational approximation. Warning: Used only if <me> IsRational.

virtual Standard_Real	MaximalSection () const
	Returns the length of the greater section. Thisinformation is useful to G1's control. Warning: With an little value, approximation can be slower.

virtual void	GetMinimalWeight (TColStd_Array1OfReal &Weigths) const
	Compute the minimal value of weight for each poles in all sections. This information is useful to control error in rational approximation. Warning: Used only if <me> IsRational.

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor.

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing.

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter.

virtual	~Standard_Transient ()
	Destructor must be virtual.

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.

Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName.

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.

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.

Standard_Transient *	This () 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.

Standard_Integer	GetRefCount () const noexcept
	Get the reference counter of this object.

void	IncrementRefCounter () noexcept
	Increments the reference counter of this object.

Standard_Integer	DecrementRefCounter () noexcept
	Decrements the reference counter of this object; returns the decremented value.

virtual void	Delete () const
	Memory deallocator for transient classes.

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.

Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.

static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class.

Detailed Description

defined the function used by SweepApproximation to perform sweeping application.

Member Function Documentation

◆ BarycentreOfSurf()

virtual gp_Pnt Approx_SweepFunction::BarycentreOfSurf ( ) const

virtual

Get the barycentre of Surface. An very poor estimation is sufficient. This information is useful to perform well conditioned rational approximation. Warning: Used only if <me> IsRational.

Reimplemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ D0()

virtual Standard_Boolean Approx_SweepFunction::D0	(	const Standard_Real	Param,
		const Standard_Real	First,
		const Standard_Real	Last,
		TColgp_Array1OfPnt &	Poles,
		TColgp_Array1OfPnt2d &	Poles2d,
		TColStd_Array1OfReal &	Weigths )

pure virtual

compute the section for v = param

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ D1()

virtual Standard_Boolean Approx_SweepFunction::D1	(	const Standard_Real	Param,
		const Standard_Real	First,
		const Standard_Real	Last,
		TColgp_Array1OfPnt &	Poles,
		TColgp_Array1OfVec &	DPoles,
		TColgp_Array1OfPnt2d &	Poles2d,
		TColgp_Array1OfVec2d &	DPoles2d,
		TColStd_Array1OfReal &	Weigths,
		TColStd_Array1OfReal &	DWeigths )

virtual

compute the first derivative in v direction of the section for v = param Warning : It used only for C1 or C2 approximation

Reimplemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ D2()

virtual Standard_Boolean Approx_SweepFunction::D2	(	const Standard_Real	Param,
		const Standard_Real	First,
		const Standard_Real	Last,
		TColgp_Array1OfPnt &	Poles,
		TColgp_Array1OfVec &	DPoles,
		TColgp_Array1OfVec &	D2Poles,
		TColgp_Array1OfPnt2d &	Poles2d,
		TColgp_Array1OfVec2d &	DPoles2d,
		TColgp_Array1OfVec2d &	D2Poles2d,
		TColStd_Array1OfReal &	Weigths,
		TColStd_Array1OfReal &	DWeigths,
		TColStd_Array1OfReal &	D2Weigths )

virtual

compute the second derivative in v direction of the section for v = param Warning : It used only for C2 approximation

Reimplemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ GetMinimalWeight()

virtual void Approx_SweepFunction::GetMinimalWeight ( TColStd_Array1OfReal & Weigths ) const

virtual

Compute the minimal value of weight for each poles in all sections. This information is useful to control error in rational approximation. Warning: Used only if <me> IsRational.

Reimplemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ GetTolerance()

virtual void Approx_SweepFunction::GetTolerance	(	const Standard_Real	BoundTol,
		const Standard_Real	SurfTol,
		const Standard_Real	AngleTol,
		TColStd_Array1OfReal &	Tol3d ) const

pure virtual

Returns the tolerance to reach in approximation to satisfy. BoundTol error at the Boundary AngleTol tangent error at the Boundary (in radian) SurfTol error inside the surface.

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ Intervals()

virtual void Approx_SweepFunction::Intervals	(	TColStd_Array1OfReal &	T,
		const GeomAbs_Shape	S ) const

pure virtual

Stores in <T> the parameters bounding the intervals of continuity .

The array must provide enough room to accommodate for the parameters. i.e. T.Length() > NbIntervals()

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ IsRational()

virtual Standard_Boolean Approx_SweepFunction::IsRational ( ) const

pure virtual

Returns if the sections are rational or not.

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ Knots()

virtual void Approx_SweepFunction::Knots ( TColStd_Array1OfReal & TKnots ) const

pure virtual

get the Knots of the section

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ MaximalSection()

virtual Standard_Real Approx_SweepFunction::MaximalSection ( ) const

virtual

Returns the length of the greater section. Thisinformation is useful to G1's control. Warning: With an little value, approximation can be slower.

Reimplemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ Mults()

virtual void Approx_SweepFunction::Mults ( TColStd_Array1OfInteger & TMults ) const

pure virtual

get the Multplicities of the section

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ Nb2dCurves()

virtual Standard_Integer Approx_SweepFunction::Nb2dCurves ( ) const

pure virtual

get the number of 2d curves to approximate.

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ NbIntervals()

virtual Standard_Integer Approx_SweepFunction::NbIntervals ( const GeomAbs_Shape S ) const

pure virtual

Returns the number of intervals for continuity ~~. May be one if Continuity(me) >=~~

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ Resolution()

virtual void Approx_SweepFunction::Resolution	(	const Standard_Integer	Index,
		const Standard_Real	Tol,
		Standard_Real &	TolU,
		Standard_Real &	TolV ) const

virtual

Returns the resolutions in the sub-space 2d <Index> This information is usfull to find an good tolerance in 2d approximation.

Reimplemented in BRepBlend_AppFuncRoot, and GeomFill_SweepFunction.

◆ SectionShape()

virtual void Approx_SweepFunction::SectionShape	(	Standard_Integer &	NbPoles,
		Standard_Integer &	NbKnots,
		Standard_Integer &	Degree ) const

pure virtual

get the format of an section

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ SetInterval()

virtual void Approx_SweepFunction::SetInterval	(	const Standard_Real	First,
		const Standard_Real	Last )

pure virtual

Sets the bounds of the parametric interval on the fonction This determines the derivatives in these values if the function is not Cn.

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

◆ SetTolerance()

virtual void Approx_SweepFunction::SetTolerance	(	const Standard_Real	Tol3d,
		const Standard_Real	Tol2d )

pure virtual

Is useful, if (me) have to run numerical algorithm to perform D0, D1 or D2.

Implemented in BRepBlend_AppFuncRoot, GeomFill_CircularBlendFunc, and GeomFill_SweepFunction.

The documentation for this class was generated from the following file:

Approx_SweepFunction.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ BarycentreOfSurf()

◆ D0()

◆ D1()

◆ D2()

◆ GetMinimalWeight()

◆ GetTolerance()

◆ Intervals()

◆ IsRational()

◆ Knots()

◆ MaximalSection()

◆ Mults()

◆ Nb2dCurves()

◆ NbIntervals()

◆ Resolution()

◆ SectionShape()

◆ SetInterval()

◆ SetTolerance()