Function to approximate by AppSurface. More...

#include <BRepBlend_AppFuncRoot.hxx>

Inheritance diagram for BRepBlend_AppFuncRoot:

[legend]

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) override
	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) override
	compute the first derivative in v direction of the section for v = param

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) override
	compute the second derivative in v direction of the section for v = param

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

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

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

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

virtual Standard_Boolean	IsRational () const override
	Returns if the section is rational or not.

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

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

virtual void	SetInterval (const Standard_Real First, const Standard_Real Last) override
	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 override
	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 override
	Returns the tolerance to reach in approximation to respect 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) override
	Is usfull, if (me) have to be run numerical algorithme to perform D0, D1 or D2.

virtual gp_Pnt	BarycentreOfSurf () const override
	Get the barycentre of Surface. An very poor estimation is sufficient. This information is useful to perform well conditioned rational approximation.

virtual Standard_Real	MaximalSection () const override
	Returns the length of the maximum section. This information is useful to perform well conditioned rational approximation.

virtual void	GetMinimalWeight (TColStd_Array1OfReal &Weigths) const override
	Compute the minimal value of weight for each poles of all sections. This information is useful to perform well conditioned rational approximation.

virtual void	Point (const Blend_AppFunction &Func, const Standard_Real Param, const math_Vector &Sol, Blend_Point &Pnt) const =0

virtual void	Vec (math_Vector &Sol, const Blend_Point &Pnt) const =0

Public Member Functions inherited from Approx_SweepFunction
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.

Protected Member Functions
	BRepBlend_AppFuncRoot (Handle< BRepBlend_Line > &Line, Blend_AppFunction &Func, const Standard_Real Tol3d, const Standard_Real Tol2d)

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

Function to approximate by AppSurface.

Constructor & Destructor Documentation

◆ BRepBlend_AppFuncRoot()

BRepBlend_AppFuncRoot::BRepBlend_AppFuncRoot	(	Handle< BRepBlend_Line > &	Line,
		Blend_AppFunction &	Func,
		const Standard_Real	Tol3d,
		const Standard_Real	Tol2d )

protected

Member Function Documentation

◆ BarycentreOfSurf()

virtual gp_Pnt BRepBlend_AppFuncRoot::BarycentreOfSurf ( ) const

overridevirtual

Get the barycentre of Surface. An very poor estimation is sufficient. This information is useful to perform well conditioned rational approximation.

Reimplemented from Approx_SweepFunction.

◆ D0()

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

overridevirtual

compute the section for v = param

Implements Approx_SweepFunction.

◆ D1()

virtual Standard_Boolean BRepBlend_AppFuncRoot::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 )

overridevirtual

compute the first derivative in v direction of the section for v = param

Reimplemented from Approx_SweepFunction.

◆ D2()

virtual Standard_Boolean BRepBlend_AppFuncRoot::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 )

overridevirtual

compute the second derivative in v direction of the section for v = param

Reimplemented from Approx_SweepFunction.

◆ GetMinimalWeight()

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

overridevirtual

Compute the minimal value of weight for each poles of all sections. This information is useful to perform well conditioned rational approximation.

Reimplemented from Approx_SweepFunction.

◆ GetTolerance()

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

overridevirtual

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

Implements Approx_SweepFunction.

◆ Intervals()

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

overridevirtual

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()

Implements Approx_SweepFunction.

◆ IsRational()

virtual Standard_Boolean BRepBlend_AppFuncRoot::IsRational ( ) const

overridevirtual

Returns if the section is rational or not.

Implements Approx_SweepFunction.

◆ Knots()

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

overridevirtual

get the Knots of the section

Implements Approx_SweepFunction.

◆ MaximalSection()

virtual Standard_Real BRepBlend_AppFuncRoot::MaximalSection ( ) const

overridevirtual

Returns the length of the maximum section. This information is useful to perform well conditioned rational approximation.

Reimplemented from Approx_SweepFunction.

◆ Mults()

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

overridevirtual

get the Multplicities of the section

Implements Approx_SweepFunction.

◆ Nb2dCurves()

virtual Standard_Integer BRepBlend_AppFuncRoot::Nb2dCurves ( ) const

overridevirtual

get the number of 2d curves to approximate.

Implements Approx_SweepFunction.

◆ NbIntervals()

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

overridevirtual

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

Implements Approx_SweepFunction.

◆ Point()

virtual void BRepBlend_AppFuncRoot::Point	(	const Blend_AppFunction &	Func,
		const Standard_Real	Param,
		const math_Vector &	Sol,
		Blend_Point &	Pnt ) const

pure virtual

Implemented in BRepBlend_AppFunc, BRepBlend_AppFuncRst, and BRepBlend_AppFuncRstRst.

◆ Resolution()

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

overridevirtual

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

Reimplemented from Approx_SweepFunction.

◆ SectionShape()

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

overridevirtual

get the format of an section

Implements Approx_SweepFunction.

◆ SetInterval()

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

overridevirtual

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

Implements Approx_SweepFunction.

◆ SetTolerance()

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

overridevirtual

Is usfull, if (me) have to be run numerical algorithme to perform D0, D1 or D2.

Implements Approx_SweepFunction.

◆ Vec()

virtual void BRepBlend_AppFuncRoot::Vec	(	math_Vector &	Sol,
		const Blend_Point &	Pnt ) const

pure virtual

Implemented in BRepBlend_AppFunc, BRepBlend_AppFuncRst, and BRepBlend_AppFuncRstRst.

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

BRepBlend_AppFuncRoot.hxx

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ BRepBlend_AppFuncRoot()

Member Function Documentation

◆ BarycentreOfSurf()

◆ D0()

◆ D1()

◆ D2()

◆ GetMinimalWeight()

◆ GetTolerance()

◆ Intervals()

◆ IsRational()

◆ Knots()

◆ MaximalSection()

◆ Mults()

◆ Nb2dCurves()

◆ NbIntervals()

◆ Point()

◆ Resolution()

◆ SectionShape()

◆ SetInterval()

◆ SetTolerance()

◆ Vec()