Open CASCADE Technology Reference Manual 8.0.0
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Public Member Functions
Blend_AppFunction Class Referenceabstract

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:
Inheritance graph
[legend]

Public Member Functions

int NbVariables () const override=0
 returns the number of variables of the function.
 
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 const gp_PntPnt1 () const =0
 Returns the point on the first support.
 
virtual const gp_PntPnt2 () const =0
 Returns the point on the first support.
 
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 Section (const Blend_Point &P, NCollection_Array1< gp_Pnt > &Poles, NCollection_Array1< gp_Pnt2d > &Poles2d, NCollection_Array1< double > &Weigths)=0
 
virtual 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)=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

◆ Derivatives()

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

◆ GetBounds()

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 BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_CSCircular, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_GenChamfer, BlendFunc_Ruled, BRepBlend_RstRstConstRad, BRepBlend_RstRstEvolRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, Blend_CSFunction, Blend_RstRstFunction, and Blend_SurfRstFunction.

◆ GetMinimalDistance()

virtual double Blend_AppFunction::GetMinimalDistance ( ) const
pure virtual

◆ GetMinimalWeight()

virtual void Blend_AppFunction::GetMinimalWeight ( NCollection_Array1< double > & Weigths) const
pure virtual

◆ GetSectionSize()

virtual double Blend_AppFunction::GetSectionSize ( ) const
pure virtual

◆ GetShape()

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

◆ GetTolerance() [1/2]

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

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.

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

◆ GetTolerance() [2/2]

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

◆ Intervals()

virtual void Blend_AppFunction::Intervals ( NCollection_Array1< double > & T,
const GeomAbs_Shape S ) const
pure virtual

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() raises OutOfRange from Standard

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

◆ IsRational()

virtual bool Blend_AppFunction::IsRational ( ) const
pure virtual

◆ IsSolution()

virtual bool Blend_AppFunction::IsSolution ( const math_Vector & Sol,
const double Tol )
pure virtual

◆ Knots()

virtual void Blend_AppFunction::Knots ( NCollection_Array1< double > & TKnots)
pure virtual

◆ Mults()

virtual void Blend_AppFunction::Mults ( NCollection_Array1< int > & TMults)
pure virtual

◆ NbEquations()

int Blend_AppFunction::NbEquations ( ) const
overridepure virtual

◆ NbIntervals()

virtual int Blend_AppFunction::NbIntervals ( const GeomAbs_Shape S) const
pure virtual

◆ NbVariables()

int Blend_AppFunction::NbVariables ( ) const
overridepure virtual

◆ Parameter()

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

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

◆ Pnt1()

virtual const gp_Pnt & Blend_AppFunction::Pnt1 ( ) const
pure virtual

Returns the point on the first support.

Implemented in Blend_CSFunction, Blend_Function, Blend_RstRstFunction, and Blend_SurfRstFunction.

◆ Pnt2()

virtual const gp_Pnt & Blend_AppFunction::Pnt2 ( ) const
pure virtual

Returns the point on the first support.

Implemented in Blend_CSFunction, Blend_Function, Blend_RstRstFunction, and Blend_SurfRstFunction.

◆ Resolution()

virtual void Blend_AppFunction::Resolution ( const int IC2d,
const double Tol,
double & TolU,
double & TolV ) const
pure virtual

◆ Section() [1/3]

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

◆ Section() [2/3]

virtual bool Blend_AppFunction::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 )
pure virtual

◆ Section() [3/3]

virtual bool Blend_AppFunction::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 )
pure virtual

◆ Set() [1/2]

virtual void Blend_AppFunction::Set ( const double First,
const double Last )
pure virtual

◆ Set() [2/2]

virtual void Blend_AppFunction::Set ( const double Param)
pure virtual

◆ Value()

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

◆ Values()

bool Blend_AppFunction::Values ( const math_Vector & X,
math_Vector & F,
math_Matrix & D )
overridepure 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_ConstRad, BlendFunc_CSCircular, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_GenChamfer, BlendFunc_Ruled, BRepBlend_RstRstConstRad, BRepBlend_RstRstEvolRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, Blend_CSFunction, Blend_RstRstFunction, and Blend_SurfRstFunction.


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