Deferred class for a function used to compute a blending
surface between a surface and a curve, using a guide line.
The vector <X> used in Value, Values and Derivatives methods
may be the vector of the parametric coordinates U,V,
W of the extremities of a section on the surface and
the curve.

#include <Blend_CSFunction.hxx>

Inheritance diagram for Blend_CSFunction:

[legend]

Public Member Functions
void *	operator new (size_t, void *anAddress)
void *	operator new (size_t size)
void	operator delete (void *anAddress)
virtual Standard_Integer	NbVariables () const
	Returns 3 (default value). Can be redefined.
virtual Standard_Integer	NbEquations () const =0
	returns the number of equations of the function.
virtual Standard_Boolean	Value (const math_Vector &X, math_Vector &F)=0
	computes the values <F> of the Functions for the variable <X>. Returns True if the computation was done successfully, False otherwise.
virtual Standard_Boolean	Derivatives (const math_Vector &X, math_Matrix &D)=0
	returns the values <D> of the derivatives for the variable <X>. Returns True if the computation was done successfully, False otherwise.
virtual Standard_Boolean	Values (const math_Vector &X, math_Vector &F, math_Matrix &D)=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 Standard_Real 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 Standard_Real First, const Standard_Real 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 Standard_Real Tol) const =0
	Returns in the vector Tolerance the parametric tolerance for each of the 3 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 3 variables. Returns in the vector SupBound the greatest values allowed for each of the 3 variables.
virtual Standard_Boolean	IsSolution (const math_Vector &Sol, const Standard_Real Tol)=0
	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.
virtual Standard_Real	GetMinimalDistance () const
	Returns the minimal Distance beetween two extremitys of calculed sections.
const gp_Pnt &	Pnt1 () const
	Returns the point on the first support.
const gp_Pnt &	Pnt2 () const
	Returns the point on the seconde support.
virtual const gp_Pnt &	PointOnS () const =0
	Returns the point on the surface.
virtual const gp_Pnt &	PointOnC () const =0
	Returns the point on the curve.
virtual const gp_Pnt2d &	Pnt2d () const =0
	Returns U,V coordinates of the point on the surface.
virtual Standard_Real	ParameterOnC () const =0
	Returns parameter of the point on the curve.
virtual Standard_Boolean	IsTangencyPoint () const =0
	Returns True when it is not possible to compute the tangent vectors at PointOnS and/or PointOnC.
virtual const gp_Vec &	TangentOnS () const =0
	Returns the tangent vector at PointOnS, in 3d space.
virtual const gp_Vec2d &	Tangent2d () const =0
	Returns the tangent vector at PointOnS, in the parametric space of the first surface.
virtual const gp_Vec &	TangentOnC () const =0
	Returns the tangent vector at PointOnC, in 3d space.
virtual void	Tangent (const Standard_Real U, const Standard_Real V, gp_Vec &TgS, gp_Vec &NormS) 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 void	GetShape (Standard_Integer &NbPoles, Standard_Integer &NbKnots, Standard_Integer &Degree, Standard_Integer &NbPoles2d)=0
virtual void	GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector &Tol3d, math_Vector &Tol1D) const =0
	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.
virtual void	Knots (TColStd_Array1OfReal &TKnots)=0
virtual void	Mults (TColStd_Array1OfInteger &TMults)=0
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)=0
	Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.
virtual void	Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths)=0
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 The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.

Member Function Documentation

virtual Standard_Boolean Blend_CSFunction::Derivatives	(	const math_Vector &	X,
		math_Matrix &	D
	)		`[pure virtual]`

virtual void Blend_CSFunction::GetBounds	(	math_Vector &	InfBound,
		math_Vector &	SupBound
	)		const `[pure virtual]`

virtual void Blend_CSFunction::GetShape	(	Standard_Integer &	NbPoles,
		Standard_Integer &	NbKnots,
		Standard_Integer &	Degree,
		Standard_Integer &	NbPoles2d
	)		`[pure virtual]`

virtual void Blend_CSFunction::GetTolerance	(	math_Vector &	Tolerance,
		const Standard_Real	Tol
	)		const `[pure virtual]`

virtual void Blend_CSFunction::GetTolerance	(	const Standard_Real	BoundTol,
		const Standard_Real	SurfTol,
		const Standard_Real	AngleTol,
		math_Vector &	Tol3d,
		math_Vector &	Tol1D
	)		const `[pure virtual]`

virtual Standard_Boolean Blend_CSFunction::IsSolution	(	const math_Vector &	Sol,
		const Standard_Real	Tol
	)		`[pure virtual]`

void* Blend_CSFunction::operator new	(	size_t	,
		void *	anAddress
	)		`[inline]`

virtual Standard_Boolean Blend_CSFunction::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]`

virtual void Blend_CSFunction::Section	(	const Blend_Point &	P,
		TColgp_Array1OfPnt &	Poles,
		TColgp_Array1OfPnt2d &	Poles2d,
		TColStd_Array1OfReal &	Weigths
	)		`[pure virtual]`

virtual void Blend_CSFunction::Set	(	const Standard_Real	First,
		const Standard_Real	Last
	)		`[pure virtual]`

virtual void Blend_CSFunction::Tangent	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Vec &	TgS,
		gp_Vec &	NormS
	)		const `[pure virtual]`

Public Member Functions

Member Function Documentation