BlendFunc_CSCircular Class Reference

#include <BlendFunc_CSCircular.hxx>

Inheritance diagram for BlendFunc_CSCircular:

Public Member Functions
	BlendFunc_CSCircular (const Handle< Adaptor3d_Surface > &S, const Handle< Adaptor3d_Curve > &C, const Handle< Adaptor3d_Curve > &CGuide, const Handle< Law_Function > &L)
	Creates a function for a circular blending between a curve and a surface . The direction of the planes are given by <CGuide>. The position of the plane is determined on the curve . <L> defines the change of parameter between and <CGuide>. So, the planes are defined as described below : t is the current parameter on the guide line. Pguide = C(L(t)); Nguide = CGuide'(t)/||CGuide'(t)||.
virtual Standard_Integer	NbVariables () const override
	Returns 3 (default value). Can be redefined.
Standard_Integer	NbEquations () const override
	returns the number of equations of the function (3).
Standard_Boolean	Value (const math_Vector &X, math_Vector &F) override
	computes the values <F> of the Functions for the variable <X>. Returns True if the computation was done successfully, False otherwise.
Standard_Boolean	Derivatives (const math_Vector &X, math_Matrix &D) override
	returns the values <D> of the derivatives for the variable <X>. Returns True if the computation was done successfully, False otherwise.
Standard_Boolean	Values (const math_Vector &X, math_Vector &F, math_Matrix &D) override
	returns the values <F> of the functions and the derivatives <D> for the variable <X>. Returns True if the computation was done successfully, False otherwise.
void	Set (const Standard_Real Param) override
	Sets the value of the parameter along the guide line. This determines the plane in which the solution has to be found.
void	Set (const Standard_Real First, const Standard_Real Last) override
	Sets the bounds of the parametric interval on the guide line. This determines the derivatives in these values if the function is not Cn.
void	GetTolerance (math_Vector &Tolerance, const Standard_Real Tol) const override
	Returns in the vector Tolerance the parametric tolerance for each of the 3 variables; Tol is the tolerance used in 3d space.
void	GetBounds (math_Vector &InfBound, math_Vector &SupBound) const override
	Returns in the vector InfBound the lowest values allowed for each of the 3 variables. Returns in the vector SupBound the greatest values allowed for each of the 3 variables.
Standard_Boolean	IsSolution (const math_Vector &Sol, const Standard_Real Tol) override
	Returns Standard_True if Sol is a zero of the function. Tol is the tolerance used in 3d space. The computation is made at the current value of the parameter on the guide line.
const gp_Pnt &	PointOnS () const override
	Returns the point on the surface.
const gp_Pnt &	PointOnC () const override
	Returns the point on the curve.
const gp_Pnt2d &	Pnt2d () const override
	Returns U,V coordinates of the point on the surface.
Standard_Real	ParameterOnC () const override
	Returns parameter of the point on the curve.
Standard_Boolean	IsTangencyPoint () const override
	Returns True when it is not possible to compute the tangent vectors at PointOnS and/or PointOnC.
const gp_Vec &	TangentOnS () const override
	Returns the tangent vector at PointOnS, in 3d space.
const gp_Vec2d &	Tangent2d () const override
	Returns the tangent vector at PointOnS, in the parametric space of the first surface.
const gp_Vec &	TangentOnC () const override
	Returns the tangent vector at PointOnC, in 3d space.
void	Tangent (const Standard_Real U, const Standard_Real V, gp_Vec &TgS, gp_Vec &NormS) const override
	Returns the tangent vector at the section, at the beginning and the end of the section, and returns the normal (of the surface) at these points.
void	Set (const Standard_Real Radius, const Standard_Integer Choix)
void	Set (const BlendFunc_SectionShape TypeSection)
	Sets the type of section generation for the approximations.
void	Section (const Standard_Real Param, const Standard_Real U, const Standard_Real V, const Standard_Real W, Standard_Real &Pdeb, Standard_Real &Pfin, gp_Circ &C)
virtual Standard_Boolean	Section (const Blend_Point &P, 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
	Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.
Standard_Boolean	GetSection (const Standard_Real Param, const Standard_Real U, const Standard_Real V, const Standard_Real W, TColgp_Array1OfPnt &tabP, TColgp_Array1OfVec &tabV)
Standard_Boolean	IsRational () const override
	Returns if the section is rationnal.
Standard_Real	GetSectionSize () const override
	Returns the length of the maximum section.
void	GetMinimalWeight (TColStd_Array1OfReal &Weigths) const override
	Compute the minimal value of weight for each poles of all sections.
Standard_Integer	NbIntervals (const GeomAbs_Shape S) const override
	Returns the number of intervals for continuity . May be one if Continuity(me) >=
void	Intervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const override
	Stores in <T> the parameters bounding the intervals of continuity .
void	GetShape (Standard_Integer &NbPoles, Standard_Integer &NbKnots, Standard_Integer &Degree, Standard_Integer &NbPoles2d) override
void	GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector &Tol3d, math_Vector &Tol1D) const override
	Returns the tolerance to reach in approximation to respecte BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface.
void	Knots (TColStd_Array1OfReal &TKnots) override
void	Mults (TColStd_Array1OfInteger &TMults) override
Standard_Boolean	Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfVec &DPoles, TColgp_Array1OfPnt2d &Poles2d, TColgp_Array1OfVec2d &DPoles2d, TColStd_Array1OfReal &Weigths, TColStd_Array1OfReal &DWeigths) override
	Used for the first and last section.
void	Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths) override
void	Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const override
Public Member Functions inherited from Blend_CSFunction
virtual Standard_Real	GetMinimalDistance () const override
	Returns the minimal Distance between two extremities of calculated sections.
const gp_Pnt &	Pnt1 () const override
	Returns the point on the first support.
const gp_Pnt &	Pnt2 () const override
	Returns the point on the seconde support.
Public Member Functions inherited from Blend_AppFunction
Standard_Real	Parameter (const Blend_Point &P) const
	Returns the parameter of the point P. Used to impose the parameters in the approximation.
Public Member Functions inherited from math_FunctionSet
virtual Standard_Integer	GetStateNumber ()
	Returns the state of the function corresponding to the latestcall of any methods associated with the function. This function is called by each of the algorithms described later which define the function Integer Algorithm::StateNumber(). The algorithm has the responsibility to call this function when it has found a solution (i.e. a root or a minimum) and has to maintain the association between the solution found and this StateNumber. Byu default, this method returns 0 (which means for the algorithm: no state has been saved). It is the responsibility of the programmer to decide if he needs to save the current state of the function and to return an Integer that allows retrieval of the state.
virtual	~math_FunctionSet ()

Constructor & Destructor Documentation

BlendFunc_CSCircular()

BlendFunc_CSCircular::BlendFunc_CSCircular	(	const Handle< Adaptor3d_Surface > &	S,
		const Handle< Adaptor3d_Curve > &	C,
		const Handle< Adaptor3d_Curve > &	CGuide,
		const Handle< Law_Function > &	L
	)

Creates a function for a circular blending between a curve and a surface . The direction of the planes are given by <CGuide>. The position of the plane is determined on the curve . <L> defines the change of parameter between and <CGuide>. So, the planes are defined as described below : t is the current parameter on the guide line. Pguide = C(L(t)); Nguide = CGuide'(t)/||CGuide'(t)||.

Member Function Documentation

Derivatives()

Standard_Boolean BlendFunc_CSCircular::Derivatives ( const math_Vector &  X, math_Matrix &  D  )

overridevirtual

returns the values <D> of the derivatives for the variable <X>. Returns True if the computation was done successfully, False otherwise.

Implements Blend_CSFunction.

GetBounds()

void BlendFunc_CSCircular::GetBounds ( math_Vector &  InfBound, math_Vector &  SupBound  ) const

overridevirtual

Returns in the vector InfBound the lowest values allowed for each of the 3 variables. Returns in the vector SupBound the greatest values allowed for each of the 3 variables.

Implements Blend_CSFunction.

GetMinimalWeight()

void BlendFunc_CSCircular::GetMinimalWeight ( TColStd_Array1OfReal &  Weigths ) const

overridevirtual

Compute the minimal value of weight for each poles of all sections.

Implements Blend_AppFunction.

GetSection()

Standard_Boolean BlendFunc_CSCircular::GetSection	(	const Standard_Real	Param,
		const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Real	W,
		TColgp_Array1OfPnt &	tabP,
		TColgp_Array1OfVec &	tabV
	)

GetSectionSize()

Standard_Real BlendFunc_CSCircular::GetSectionSize ( ) const

overridevirtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

GetShape()

void BlendFunc_CSCircular::GetShape ( Standard_Integer &  NbPoles, Standard_Integer &  NbKnots, Standard_Integer &  Degree, Standard_Integer &  NbPoles2d  )

overridevirtual

Implements Blend_CSFunction.

GetTolerance() [1/2]

void BlendFunc_CSCircular::GetTolerance ( const Standard_Real  BoundTol, const Standard_Real  SurfTol, const Standard_Real  AngleTol, math_Vector &  Tol3d, math_Vector &  Tol1D  ) const

overridevirtual

Returns the tolerance to reach in approximation to respecte BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface.

Implements Blend_CSFunction.

GetTolerance() [2/2]

void BlendFunc_CSCircular::GetTolerance ( math_Vector &  Tolerance, const Standard_Real  Tol  ) const

overridevirtual

Returns in the vector Tolerance the parametric tolerance for each of the 3 variables; Tol is the tolerance used in 3d space.

Implements Blend_CSFunction.

Intervals()

void BlendFunc_CSCircular::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() raises OutOfRange from Standard

Implements Blend_AppFunction.

IsRational()

Standard_Boolean BlendFunc_CSCircular::IsRational ( ) const

overridevirtual

Returns if the section is rationnal.

Implements Blend_AppFunction.

IsSolution()

Standard_Boolean BlendFunc_CSCircular::IsSolution ( const math_Vector &  Sol, const Standard_Real  Tol  )

overridevirtual

Returns Standard_True if Sol is a zero of the function. Tol is the tolerance used in 3d space. The computation is made at the current value of the parameter on the guide line.

Implements Blend_CSFunction.

IsTangencyPoint()

Standard_Boolean BlendFunc_CSCircular::IsTangencyPoint ( ) const

overridevirtual

Returns True when it is not possible to compute the tangent vectors at PointOnS and/or PointOnC.

Implements Blend_CSFunction.

Knots()

void BlendFunc_CSCircular::Knots ( TColStd_Array1OfReal &  TKnots )

overridevirtual

Implements Blend_CSFunction.

Mults()

void BlendFunc_CSCircular::Mults ( TColStd_Array1OfInteger &  TMults )

overridevirtual

Implements Blend_CSFunction.

NbEquations()

Standard_Integer BlendFunc_CSCircular::NbEquations ( ) const

overridevirtual

returns the number of equations of the function (3).

Implements Blend_CSFunction.

NbIntervals()

Standard_Integer BlendFunc_CSCircular::NbIntervals ( const GeomAbs_Shape  S ) const

overridevirtual

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

Implements Blend_AppFunction.

NbVariables()

virtual Standard_Integer BlendFunc_CSCircular::NbVariables ( ) const

overridevirtual

Returns 3 (default value). Can be redefined.

Reimplemented from Blend_CSFunction.

ParameterOnC()

Standard_Real BlendFunc_CSCircular::ParameterOnC ( ) const

overridevirtual

Returns parameter of the point on the curve.

Implements Blend_CSFunction.

Pnt2d()

const gp_Pnt2d & BlendFunc_CSCircular::Pnt2d ( ) const

overridevirtual

Returns U,V coordinates of the point on the surface.

Implements Blend_CSFunction.

PointOnC()

const gp_Pnt & BlendFunc_CSCircular::PointOnC ( ) const

overridevirtual

Returns the point on the curve.

Implements Blend_CSFunction.

PointOnS()

const gp_Pnt & BlendFunc_CSCircular::PointOnS ( ) const

overridevirtual

Returns the point on the surface.

Implements Blend_CSFunction.

Resolution()

void BlendFunc_CSCircular::Resolution ( const Standard_Integer  IC2d, const Standard_Real  Tol, Standard_Real &  TolU, Standard_Real &  TolV  ) const

overridevirtual

Implements Blend_AppFunction.

Section() [1/4]

void BlendFunc_CSCircular::Section ( const Blend_Point &  P, TColgp_Array1OfPnt &  Poles, TColgp_Array1OfPnt2d &  Poles2d, TColStd_Array1OfReal &  Weigths  )

overridevirtual

Implements Blend_CSFunction.

Section() [2/4]

Standard_Boolean BlendFunc_CSCircular::Section ( const Blend_Point &  P, TColgp_Array1OfPnt &  Poles, TColgp_Array1OfVec &  DPoles, TColgp_Array1OfPnt2d &  Poles2d, TColgp_Array1OfVec2d &  DPoles2d, TColStd_Array1OfReal &  Weigths, TColStd_Array1OfReal &  DWeigths  )

overridevirtual

Used for the first and last section.

Implements Blend_CSFunction.

Section() [3/4]

virtual Standard_Boolean BlendFunc_CSCircular::Section ( const Blend_Point &  P, 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

Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.

Reimplemented from Blend_CSFunction.

Section() [4/4]

void BlendFunc_CSCircular::Section	(	const Standard_Real	Param,
		const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Real	W,
		Standard_Real &	Pdeb,
		Standard_Real &	Pfin,
		gp_Circ &	C
	)

Set() [1/4]

void BlendFunc_CSCircular::Set

(

const BlendFunc_SectionShape

TypeSection

)

Sets the type of section generation for the approximations.

Set() [2/4]

void BlendFunc_CSCircular::Set ( const Standard_Real  First, const Standard_Real  Last  )

overridevirtual

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

Implements Blend_CSFunction.

Set() [3/4]

void BlendFunc_CSCircular::Set ( const Standard_Real  Param )

overridevirtual

Sets the value of the parameter along the guide line. This determines the plane in which the solution has to be found.

Implements Blend_CSFunction.

Set() [4/4]

void BlendFunc_CSCircular::Set	(	const Standard_Real	Radius,
		const Standard_Integer	Choix
	)

Tangent()

void BlendFunc_CSCircular::Tangent ( const Standard_Real  U, const Standard_Real  V, gp_Vec &  TgS, gp_Vec &  NormS  ) const

overridevirtual

Returns the tangent vector at the section, at the beginning and the end of the section, and returns the normal (of the surface) at these points.

Implements Blend_CSFunction.

Tangent2d()

const gp_Vec2d & BlendFunc_CSCircular::Tangent2d ( ) const

overridevirtual

Returns the tangent vector at PointOnS, in the parametric space of the first surface.

Implements Blend_CSFunction.

TangentOnC()

const gp_Vec & BlendFunc_CSCircular::TangentOnC ( ) const

overridevirtual

Returns the tangent vector at PointOnC, in 3d space.

Implements Blend_CSFunction.

TangentOnS()

const gp_Vec & BlendFunc_CSCircular::TangentOnS ( ) const

overridevirtual

Returns the tangent vector at PointOnS, in 3d space.

Implements Blend_CSFunction.

Value()

Standard_Boolean BlendFunc_CSCircular::Value ( const math_Vector &  X, math_Vector &  F  )

overridevirtual

computes the values <F> of the Functions for the variable <X>. Returns True if the computation was done successfully, False otherwise.

Implements Blend_CSFunction.

Values()

Standard_Boolean BlendFunc_CSCircular::Values ( const math_Vector &  X, math_Vector &  F, math_Matrix &  D  )

overridevirtual

returns the values <F> of the functions and the derivatives <D> for the variable <X>. Returns True if the computation was done successfully, False otherwise.

Implements Blend_CSFunction.

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

• BlendFunc_CSCircular.hxx