#include <BlendFunc_EvolRad.hxx>

Inheritance diagram for BlendFunc_EvolRad:

[legend]

Public Member Functions
	BlendFunc_EvolRad (const Handle< Adaptor3d_HSurface > &S1, const Handle< Adaptor3d_HSurface > &S2, const Handle< Adaptor3d_HCurve > &C, const Handle< Law_Function > &Law)

Standard_Integer	NbEquations () const
	returns the number of equations of the function. More...

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

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

Standard_Boolean	Values (const math_Vector &X, math_Vector &F, math_Matrix &D)
	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. More...

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

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

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

void	GetBounds (math_Vector &InfBound, math_Vector &SupBound) const
	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. More...

Standard_Boolean	IsSolution (const math_Vector &Sol, const Standard_Real Tol)
	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. More...

Standard_Real	GetMinimalDistance () const
	Returns the minimal Distance beetween two extremitys of calculed sections. More...

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

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

Standard_Boolean	IsTangencyPoint () const
	Returns True when it is not possible to compute the tangent vectors at PointOnS1 and/or PointOnS2. More...

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

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

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

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

void	Tangent (const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, gp_Vec &TgFirst, gp_Vec &TgLast, gp_Vec &NormFirst, gp_Vec &NormLast) const
	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. More...

virtual Standard_Boolean	TwistOnS1 () const

virtual Standard_Boolean	TwistOnS2 () const

void	Set (const Standard_Integer Choix)

void	Set (const BlendFunc_SectionShape TypeSection)
	Sets the type of section generation for the approximations. More...

void	Section (const Standard_Real Param, const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, Standard_Real &Pdeb, Standard_Real &Pfin, gp_Circ &C)
	Method for graphic traces. More...

Standard_Boolean	IsRational () const
	Returns if the section is rationnal. More...

Standard_Real	GetSectionSize () const
	Returns the length of the maximum section. More...

void	GetMinimalWeight (TColStd_Array1OfReal &Weigths) const
	Compute the minimal value of weight for each poles of all sections. More...

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

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

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

void	GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector &Tol3d, math_Vector &Tol1D) const
	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. More...

void	Knots (TColStd_Array1OfReal &TKnots)

void	Mults (TColStd_Array1OfInteger &TMults)

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)
	Used for the first and last section. More...

virtual 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)
	Used for the first and last section. More...

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

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

Public Member Functions inherited from Blend_Function
Standard_Integer	NbVariables () const
	Returns 4. More...

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

const gp_Pnt &	Pnt2 () const
	Returns the point on the seconde support. More...

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. More...

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. More...

virtual	~math_FunctionSet ()

Constructor & Destructor Documentation

BlendFunc_EvolRad::BlendFunc_EvolRad	(	const Handle< Adaptor3d_HSurface > &	S1,
		const Handle< Adaptor3d_HSurface > &	S2,
		const Handle< Adaptor3d_HCurve > &	C,
		const Handle< Law_Function > &	Law
	)

Member Function Documentation

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

virtual

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

Implements Blend_Function.

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

virtual

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.

Implements Blend_Function.

Standard_Real BlendFunc_EvolRad::GetMinimalDistance ( ) const

virtual

Returns the minimal Distance beetween two extremitys of calculed sections.

Implements Blend_AppFunction.

void BlendFunc_EvolRad::GetMinimalWeight ( TColStd_Array1OfReal & Weigths ) const

virtual

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

Implements Blend_AppFunction.

Standard_Real BlendFunc_EvolRad::GetSectionSize ( ) const

virtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

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

virtual

Implements Blend_Function.

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

virtual

Returns in the vector Tolerance the parametric tolerance for each of the 4 variables; Tol is the tolerance used in 3d space.

Implements Blend_Function.

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

virtual

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_Function.

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

virtual

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

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

Implements Blend_AppFunction.

Standard_Boolean BlendFunc_EvolRad::IsRational ( ) const

virtual

Returns if the section is rationnal.

Implements Blend_AppFunction.

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

virtual

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_Function.

Standard_Boolean BlendFunc_EvolRad::IsTangencyPoint ( ) const

virtual

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

Implements Blend_Function.

void BlendFunc_EvolRad::Knots ( TColStd_Array1OfReal & TKnots )

virtual

Implements Blend_Function.

void BlendFunc_EvolRad::Mults ( TColStd_Array1OfInteger & TMults )

virtual

Implements Blend_Function.

Standard_Integer BlendFunc_EvolRad::NbEquations ( ) const

virtual

returns the number of equations of the function.

Implements Blend_Function.

Standard_Integer BlendFunc_EvolRad::NbIntervals ( const GeomAbs_Shape S ) const

virtual

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

Implements Blend_AppFunction.

const gp_Pnt& BlendFunc_EvolRad::PointOnS1 ( ) const

virtual

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

Implements Blend_Function.

const gp_Pnt& BlendFunc_EvolRad::PointOnS2 ( ) const

virtual

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

Implements Blend_Function.

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

virtual

Implements Blend_AppFunction.

void BlendFunc_EvolRad::Section	(	const Standard_Real	Param,
		const Standard_Real	U1,
		const Standard_Real	V1,
		const Standard_Real	U2,
		const Standard_Real	V2,
		Standard_Real &	Pdeb,
		Standard_Real &	Pfin,
		gp_Circ &	C
	)

Method for graphic traces.

virtual Standard_Boolean BlendFunc_EvolRad::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
	)

virtual

Used for the first and last section.

Reimplemented from Blend_Function.

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

virtual

Used for the first and last section.

Implements Blend_Function.

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

virtual

Implements Blend_Function.

void BlendFunc_EvolRad::Set ( const Standard_Real Param )

virtual

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

Implements Blend_Function.

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

virtual

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_Function.

void BlendFunc_EvolRad::Set ( const Standard_Integer Choix )

void BlendFunc_EvolRad::Set ( const BlendFunc_SectionShape TypeSection )

Sets the type of section generation for the approximations.

void BlendFunc_EvolRad::Tangent	(	const Standard_Real	U1,
		const Standard_Real	V1,
		const Standard_Real	U2,
		const Standard_Real	V2,
		gp_Vec &	TgFirst,
		gp_Vec &	TgLast,
		gp_Vec &	NormFirst,
		gp_Vec &	NormLast
	)		const

virtual

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.

Implements Blend_Function.

const gp_Vec2d& BlendFunc_EvolRad::Tangent2dOnS1 ( ) const

virtual

Returns the tangent vector at PointOnS1, in the parametric space of the first surface.

Implements Blend_Function.

const gp_Vec2d& BlendFunc_EvolRad::Tangent2dOnS2 ( ) const

virtual

Returns the tangent vector at PointOnS2, in the parametric space of the second surface.

Implements Blend_Function.

const gp_Vec& BlendFunc_EvolRad::TangentOnS1 ( ) const

virtual

Returns the tangent vector at PointOnS1, in 3d space.

Implements Blend_Function.

const gp_Vec& BlendFunc_EvolRad::TangentOnS2 ( ) const

virtual

Returns the tangent vector at PointOnS2, in 3d space.

Implements Blend_Function.

virtual Standard_Boolean BlendFunc_EvolRad::TwistOnS1 ( ) const

virtual

Reimplemented from Blend_Function.

virtual Standard_Boolean BlendFunc_EvolRad::TwistOnS2 ( ) const

virtual

Reimplemented from Blend_Function.

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

virtual

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

Implements Blend_Function.

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

virtual

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_Function.

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

BlendFunc_EvolRad.hxx

Public Member Functions

Constructor & Destructor Documentation

Member Function Documentation