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_AppFunction.hxx>

Inheritance diagram for Blend_AppFunction:

[legend]

Public Member Functions
virtual Standard_Integer	NbVariables () const =0
	returns the number of variables of the function. More...

virtual Standard_Integer	NbEquations () const =0
	returns the number of equations of the function. More...

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. More...

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. More...

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. More...

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. More...

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. More...

virtual void	GetTolerance (math_Vector &Tolerance, const Standard_Real 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. More...

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. More...

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. More...

virtual Standard_Real	GetMinimalDistance () const =0
	Returns the minimal Distance beetween two extremitys of calculed sections. More...

virtual const gp_Pnt &	Pnt1 () const =0
	Returns the point on the first support. More...

virtual const gp_Pnt &	Pnt2 () const =0
	Returns the point on the first support. More...

virtual Standard_Boolean	IsRational () const =0
	Returns if the section is rationnal. More...

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

virtual void	GetMinimalWeight (TColStd_Array1OfReal &Weigths) const =0
	Compute the minimal value of weight for each poles of all sections. More...

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

virtual void	Intervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const =0
	Stores in <T> the parameters bounding the intervals of continuity <S>. More...

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. More...

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. More...

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)=0
	Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False. More...

virtual void	Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const =0

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 ()

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

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

pure virtual

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

Implements math_FunctionSetWithDerivatives.

Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual void Blend_AppFunction::GetBounds	(	math_Vector &	InfBound,
		math_Vector &	SupBound
	)		const

pure 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.

Implemented in BRepBlend_RstRstEvolRad, Blend_RstRstFunction, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, Blend_SurfRstFunction, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

virtual Standard_Real Blend_AppFunction::GetMinimalDistance ( ) const

pure virtual

Returns the minimal Distance beetween two extremitys of calculed sections.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

virtual void Blend_AppFunction::GetMinimalWeight ( TColStd_Array1OfReal & Weigths ) const

pure virtual

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

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual Standard_Real Blend_AppFunction::GetSectionSize ( ) const

pure virtual

Returns the length of the maximum section.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

pure virtual

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

pure virtual

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

Implemented in BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

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

pure 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.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

pure 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() raises OutOfRange from Standard

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual Standard_Boolean Blend_AppFunction::IsRational ( ) const

pure virtual

Returns if the section is rationnal.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

pure 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.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

virtual void Blend_AppFunction::Knots ( TColStd_Array1OfReal & TKnots )

pure virtual

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual void Blend_AppFunction::Mults ( TColStd_Array1OfInteger & TMults )

pure virtual

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual Standard_Integer Blend_AppFunction::NbEquations ( ) const

pure virtual

returns the number of equations of the function.

Implements math_FunctionSetWithDerivatives.

Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, BlendFunc_ChAsym, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual Standard_Integer Blend_AppFunction::NbIntervals ( const GeomAbs_Shape S ) const

pure virtual

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

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.

virtual Standard_Integer Blend_AppFunction::NbVariables ( ) const

pure virtual

returns the number of variables of the function.

Implements math_FunctionSetWithDerivatives.

Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.

Standard_Real Blend_AppFunction::Parameter ( const Blend_Point & P ) const

Returns the parameter of the point P. Used to impose the parameters in the approximation.

virtual const gp_Pnt& Blend_AppFunction::Pnt1 ( ) const

pure virtual

Returns the point on the first support.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.

virtual const gp_Pnt& Blend_AppFunction::Pnt2 ( ) const

pure virtual

Returns the point on the first support.

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.

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

pure virtual

Implemented in BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_ChAsym, BlendFunc_Chamfer, and BlendFunc_Ruled.

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

pure virtual

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

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Chamfer, and BlendFunc_Ruled.

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

pure virtual

Implemented in Blend_SurfRstFunction, Blend_RstRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Chamfer, and BlendFunc_Ruled.

virtual Standard_Boolean Blend_AppFunction::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
	)

pure virtual

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

Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_Chamfer, BlendFunc_Ruled, BlendFunc_CSCircular, and BlendFunc_CSConstRad.

virtual void Blend_AppFunction::Set ( const Standard_Real Param )

pure virtual

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

Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_CSFunction, BlendFunc_CSConstRad, Blend_Function, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

virtual void Blend_AppFunction::Set	(	const Standard_Real	First,
		const Standard_Real	Last
	)

pure 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.

Implemented in BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.

virtual Standard_Boolean Blend_AppFunction::Value	(	const math_Vector &	X,
		math_Vector &	F
	)

pure virtual

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

Implements math_FunctionSetWithDerivatives.

Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

pure 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 math_FunctionSetWithDerivatives.

Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.

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

Blend_AppFunction.hxx

Public Member Functions

Detailed Description

Member Function Documentation