Deferred class for a function used to compute a blending surface between two surfaces, using a guide line. The vector <X> used in Value, Values and Derivatives methods has to be the vector of the parametric coordinates U1,V1, U2,V2, of the extremities of a section on the first and second surface. More...

#include <Blend_Function.hxx>

Inheritance diagram for Blend_Function:

[legend]

Public Member Functions
int	NbVariables () const override
	Returns 4.

const gp_Pnt &	Pnt1 () const override
	Returns the point on the first support.

const gp_Pnt &	Pnt2 () const override
	Returns the point on the second support.

virtual const gp_Pnt &	PointOnS1 () const =0
	Returns the point on the first surface, at parameter Sol(1),Sol(2) (Sol is the vector used in the call of IsSolution.

virtual const gp_Pnt &	PointOnS2 () const =0
	Returns the point on the second surface, at parameter Sol(3),Sol(4) (Sol is the vector used in the call of IsSolution.

virtual bool	IsTangencyPoint () const =0
	Returns True when it is not possible to compute the tangent vectors at PointOnS1 and/or PointOnS2.

virtual const gp_Vec &	TangentOnS1 () const =0
	Returns the tangent vector at PointOnS1, in 3d space.

virtual const gp_Vec2d &	Tangent2dOnS1 () const =0
	Returns the tangent vector at PointOnS1, in the parametric space of the first surface.

virtual const gp_Vec &	TangentOnS2 () const =0
	Returns the tangent vector at PointOnS2, in 3d space.

virtual const gp_Vec2d &	Tangent2dOnS2 () const =0
	Returns the tangent vector at PointOnS2, in the parametric space of the second surface.

virtual void	Tangent (const double U1, const double V1, const double U2, const double V2, gp_Vec &TgFirst, gp_Vec &TgLast, gp_Vec &NormFirst, gp_Vec &NormLast) const =0
	Returns the tangent vector at the section, at the beginning and the end of the section, and returns the normal (of the surfaces) at these points.

virtual bool	TwistOnS1 () const

virtual bool	TwistOnS2 () const

void	Section (const Blend_Point &P, NCollection_Array1< gp_Pnt > &Poles, NCollection_Array1< gp_Pnt2d > &Poles2d, NCollection_Array1< double > &Weigths) override=0

bool	Section (const Blend_Point &P, NCollection_Array1< gp_Pnt > &Poles, NCollection_Array1< gp_Vec > &DPoles, NCollection_Array1< gp_Vec > &D2Poles, NCollection_Array1< gp_Pnt2d > &Poles2d, NCollection_Array1< gp_Vec2d > &DPoles2d, NCollection_Array1< gp_Vec2d > &D2Poles2d, NCollection_Array1< double > &Weigths, NCollection_Array1< double > &DWeigths, NCollection_Array1< double > &D2Weigths) override
	Used for the first and last section The method returns true if the derivatives are computed, otherwise it returns false.

Public Member Functions inherited from Blend_AppFunction
int	NbEquations () const override=0
	returns the number of equations of the function.

bool	Value (const math_Vector &X, math_Vector &F) override=0
	computes the values <F> of the Functions for the variable <X>. Returns True if the computation was done successfully, False otherwise.

bool	Derivatives (const math_Vector &X, math_Matrix &D) override=0
	returns the values <D> of the derivatives for the variable <X>. Returns True if the computation was done successfully, False otherwise.

bool	Values (const math_Vector &X, math_Vector &F, math_Matrix &D) override=0
	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.

virtual void	Set (const double Param)=0
	Sets the value of the parameter along the guide line. This determines the plane in which the solution has to be found.

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

virtual void	GetTolerance (math_Vector &Tolerance, const double Tol) const =0
	Returns in the vector Tolerance the parametric tolerance for each of the 4 variables; Tol is the tolerance used in 3d space.

virtual void	GetBounds (math_Vector &InfBound, math_Vector &SupBound) const =0
	Returns in the vector InfBound the lowest values allowed for each of the 4 variables. Returns in the vector SupBound the greatest values allowed for each of the 4 variables.

virtual bool	IsSolution (const math_Vector &Sol, const double Tol)=0
	Returns 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.

virtual double	GetMinimalDistance () const =0
	Returns the minimal Distance between two extremities of calculated sections.

virtual bool	IsRational () const =0
	Returns if the section is rational.

virtual double	GetSectionSize () const =0
	Returns the length of the maximum section.

virtual void	GetMinimalWeight (NCollection_Array1< double > &Weigths) const =0
	Compute the minimal value of weight for each poles of all sections.

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

virtual void	Intervals (NCollection_Array1< double > &T, const GeomAbs_Shape S) const =0
	Stores in <T> the parameters bounding the intervals of continuity .

virtual void	GetShape (int &NbPoles, int &NbKnots, int &Degree, int &NbPoles2d)=0

virtual void	GetTolerance (const double BoundTol, const double SurfTol, const double AngleTol, math_Vector &Tol3d, math_Vector &Tol1D) const =0
	Returns the tolerance to reach in approximation to respect BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface.

virtual void	Knots (NCollection_Array1< double > &TKnots)=0

virtual void	Mults (NCollection_Array1< int > &TMults)=0

virtual bool	Section (const Blend_Point &P, NCollection_Array1< gp_Pnt > &Poles, NCollection_Array1< gp_Vec > &DPoles, NCollection_Array1< gp_Pnt2d > &Poles2d, NCollection_Array1< gp_Vec2d > &DPoles2d, NCollection_Array1< double > &Weigths, NCollection_Array1< double > &DWeigths)=0
	Used for the first and last section The method returns true if the derivatives are computed, otherwise it returns false.

virtual void	Resolution (const int IC2d, const double Tol, double &TolU, double &TolV) const =0

double	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 int	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 ()

Detailed Description

Deferred class for a function used to compute a blending surface between two surfaces, using a guide line. The vector <X> used in Value, Values and Derivatives methods has to be the vector of the parametric coordinates U1,V1, U2,V2, of the extremities of a section on the first and second surface.

Member Function Documentation

◆ IsTangencyPoint()

virtual bool Blend_Function::IsTangencyPoint ( ) const

pure virtual

Returns True when it is not possible to compute the tangent vectors at PointOnS1 and/or PointOnS2.

Implemented in BlendFunc_Chamfer, BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_ConstThroat, BlendFunc_EvolRad, and BlendFunc_Ruled.

◆ NbVariables()

int Blend_Function::NbVariables ( ) const

overridevirtual

Returns 4.

Implements Blend_AppFunction.

◆ Pnt1()

const gp_Pnt & Blend_Function::Pnt1 ( ) const

overridevirtual

Returns the point on the first support.

Implements Blend_AppFunction.

◆ Pnt2()

const gp_Pnt & Blend_Function::Pnt2 ( ) const

overridevirtual

Returns the point on the second support.

Implements Blend_AppFunction.

◆ PointOnS1()

virtual const gp_Pnt & Blend_Function::PointOnS1 ( ) const

pure virtual

Returns the point on the first surface, at parameter Sol(1),Sol(2) (Sol is the vector used in the call of IsSolution.

Implemented in BlendFunc_Chamfer, BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_ConstThroat, BlendFunc_EvolRad, and BlendFunc_Ruled.

◆ PointOnS2()

virtual const gp_Pnt & Blend_Function::PointOnS2 ( ) const

pure virtual

Returns the point on the second surface, at parameter Sol(3),Sol(4) (Sol is the vector used in the call of IsSolution.

Implemented in BlendFunc_Chamfer, BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_ConstThroat, BlendFunc_EvolRad, and BlendFunc_Ruled.

◆ Section() [1/2]

void Blend_Function::Section	(	const Blend_Point &	P,
		NCollection_Array1< gp_Pnt > &	Poles,
		NCollection_Array1< gp_Pnt2d > &	Poles2d,
		NCollection_Array1< double > &	Weigths )

overridepure virtual

Implements Blend_AppFunction.

Implemented in BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_GenChamfer, and BlendFunc_Ruled.

◆ Section() [2/2]

bool Blend_Function::Section	(	const Blend_Point &	P,
		NCollection_Array1< gp_Pnt > &	Poles,
		NCollection_Array1< gp_Vec > &	DPoles,
		NCollection_Array1< gp_Vec > &	D2Poles,
		NCollection_Array1< gp_Pnt2d > &	Poles2d,
		NCollection_Array1< gp_Vec2d > &	DPoles2d,
		NCollection_Array1< gp_Vec2d > &	D2Poles2d,
		NCollection_Array1< double > &	Weigths,
		NCollection_Array1< double > &	DWeigths,
		NCollection_Array1< double > &	D2Weigths )

overridevirtual

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

Implements Blend_AppFunction.

Reimplemented in BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_GenChamfer, and BlendFunc_Ruled.

◆ Tangent()

virtual void Blend_Function::Tangent	(	const double	U1,
		const double	V1,
		const double	U2,
		const double	V2,
		gp_Vec &	TgFirst,
		gp_Vec &	TgLast,
		gp_Vec &	NormFirst,
		gp_Vec &	NormLast ) const