#include <BlendFunc_ConstRad.hxx>

Inheritance diagram for BlendFunc_ConstRad:

[legend]

Public Member Functions
	BlendFunc_ConstRad (const Handle< Adaptor3d_Surface > &S1, const Handle< Adaptor3d_Surface > &S2, const Handle< Adaptor3d_Curve > &C)

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

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 4 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 4 variables. Returns in the vector SupBound the greatest values allowed for each of the 4 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.

Standard_Real	GetMinimalDistance () const override
	Returns the minimal Distance between two extremities of calculated sections.

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

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

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

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

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

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

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

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 override
	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 Standard_Boolean	TwistOnS1 () const override

virtual Standard_Boolean	TwistOnS2 () const override

void	Set (const Standard_Real Radius, const Standard_Integer Choix)
	Inits the value of radius, and the "quadrant".

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

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)
	Utile pour une visu rapide et approximative de la surface.

Standard_Boolean	IsRational () const override
	Returns if the section is rational.

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 respect 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

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.

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) override
	Used for the first and last section.

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

gp_Ax1	AxeRot (const Standard_Real Prm)

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

Public Member Functions inherited from Blend_Function
Standard_Integer	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 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_FunctionSetWithDerivatives
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_ConstRad()

BlendFunc_ConstRad::BlendFunc_ConstRad	(	const Handle< Adaptor3d_Surface > &	S1,
		const Handle< Adaptor3d_Surface > &	S2,
		const Handle< Adaptor3d_Curve > &	C )

Member Function Documentation

◆ AxeRot()

gp_Ax1 BlendFunc_ConstRad::AxeRot ( const Standard_Real Prm )

◆ Derivatives()

Standard_Boolean BlendFunc_ConstRad::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_AppFunction.

◆ GetBounds()

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

overridevirtual

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_AppFunction.

◆ GetMinimalDistance()

Standard_Real BlendFunc_ConstRad::GetMinimalDistance ( ) const

overridevirtual

Returns the minimal Distance between two extremities of calculated sections.

Implements Blend_AppFunction.

◆ GetMinimalWeight()

void BlendFunc_ConstRad::GetMinimalWeight ( TColStd_Array1OfReal & Weigths ) const

overridevirtual

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

Implements Blend_AppFunction.

◆ GetSectionSize()

Standard_Real BlendFunc_ConstRad::GetSectionSize ( ) const

overridevirtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

◆ GetShape()

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

overridevirtual

Implements Blend_AppFunction.

◆ GetTolerance() [1/2]

void BlendFunc_ConstRad::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 respect BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface.

Implements Blend_AppFunction.

◆ GetTolerance() [2/2]

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

overridevirtual

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

Implements Blend_AppFunction.

◆ Intervals()

void BlendFunc_ConstRad::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 Blend_AppFunction.

◆ IsRational()

Standard_Boolean BlendFunc_ConstRad::IsRational ( ) const

overridevirtual

Returns if the section is rational.

Implements Blend_AppFunction.

◆ IsSolution()

Standard_Boolean BlendFunc_ConstRad::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_AppFunction.

◆ IsTangencyPoint()

Standard_Boolean BlendFunc_ConstRad::IsTangencyPoint ( ) const

overridevirtual

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

Implements Blend_Function.

◆ Knots()

void BlendFunc_ConstRad::Knots ( TColStd_Array1OfReal & TKnots )

overridevirtual

Implements Blend_AppFunction.

◆ Mults()

void BlendFunc_ConstRad::Mults ( TColStd_Array1OfInteger & TMults )

overridevirtual

Implements Blend_AppFunction.

◆ NbEquations()

Standard_Integer BlendFunc_ConstRad::NbEquations ( ) const

overridevirtual

returns the number of equations of the function.

Implements Blend_AppFunction.

◆ NbIntervals()

Standard_Integer BlendFunc_ConstRad::NbIntervals ( const GeomAbs_Shape S ) const

overridevirtual

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

Implements Blend_AppFunction.

◆ PointOnS1()

const gp_Pnt & BlendFunc_ConstRad::PointOnS1 ( ) const

overridevirtual

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.

◆ PointOnS2()

const gp_Pnt & BlendFunc_ConstRad::PointOnS2 ( ) const

overridevirtual

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.

◆ Resolution()

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

overridevirtual

Implements Blend_Function.

◆ Section() [2/4]

virtual Standard_Boolean BlendFunc_ConstRad::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_AppFunction.

◆ Section() [3/4]

virtual Standard_Boolean BlendFunc_ConstRad::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.

Reimplemented from Blend_Function.

◆ Section() [4/4]

void BlendFunc_ConstRad::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 )

Utile pour une visu rapide et approximative de la surface.

◆ Set() [1/4]

void BlendFunc_ConstRad::Set ( const BlendFunc_SectionShape TypeSection )

Sets the type of section generation for the approximations.

◆ Set() [2/4]

void BlendFunc_ConstRad::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_AppFunction.

◆ Set() [3/4]

void BlendFunc_ConstRad::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_AppFunction.

◆ Set() [4/4]

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

Inits the value of radius, and the "quadrant".

◆ Tangent()

void BlendFunc_ConstRad::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

overridevirtual

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.

◆ Tangent2dOnS1()

const gp_Vec2d & BlendFunc_ConstRad::Tangent2dOnS1 ( ) const

overridevirtual

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

Implements Blend_Function.

◆ Tangent2dOnS2()

const gp_Vec2d & BlendFunc_ConstRad::Tangent2dOnS2 ( ) const

overridevirtual

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

Implements Blend_Function.

◆ TangentOnS1()

const gp_Vec & BlendFunc_ConstRad::TangentOnS1 ( ) const

overridevirtual

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

Implements Blend_Function.

◆ TangentOnS2()

const gp_Vec & BlendFunc_ConstRad::TangentOnS2 ( ) const

overridevirtual

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

Implements Blend_Function.

◆ TwistOnS1()

virtual Standard_Boolean BlendFunc_ConstRad::TwistOnS1 ( ) const

overridevirtual

Reimplemented from Blend_Function.

◆ TwistOnS2()

virtual Standard_Boolean BlendFunc_ConstRad::TwistOnS2 ( ) const

overridevirtual

Reimplemented from Blend_Function.

◆ Value()

Standard_Boolean BlendFunc_ConstRad::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_AppFunction.

◆ Values()

Standard_Boolean BlendFunc_ConstRad::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_AppFunction.

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

BlendFunc_ConstRad.hxx

Public Member Functions

Constructor & Destructor Documentation

◆ BlendFunc_ConstRad()

Member Function Documentation

◆ AxeRot()

◆ Derivatives()

◆ GetBounds()

◆ GetMinimalDistance()

◆ GetMinimalWeight()

◆ GetSectionSize()

◆ GetShape()

◆ GetTolerance() [1/2]

◆ GetTolerance() [2/2]

◆ Intervals()

◆ IsRational()

◆ IsSolution()

◆ IsTangencyPoint()

◆ Knots()

◆ Mults()

◆ NbEquations()

◆ NbIntervals()

◆ PointOnS1()

◆ PointOnS2()

◆ Resolution()

◆ Section() [1/4]

◆ Section() [2/4]

◆ Section() [3/4]

◆ Section() [4/4]

◆ Set() [1/4]

◆ Set() [2/4]

◆ Set() [3/4]

◆ Set() [4/4]

◆ Tangent()

◆ Tangent2dOnS1()

◆ Tangent2dOnS2()

◆ TangentOnS1()

◆ TangentOnS2()

◆ TwistOnS1()

◆ TwistOnS2()

◆ Value()

◆ Values()