Open CASCADE Technology  7.4.1.dev
Public Member Functions
BlendFunc_CSCircular Class Reference

#include <BlendFunc_CSCircular.hxx>

Inheritance diagram for BlendFunc_CSCircular:
Inheritance graph
[legend]

Public Member Functions

 BlendFunc_CSCircular (const Handle< Adaptor3d_HSurface > &S, const Handle< Adaptor3d_HCurve > &C, const Handle< Adaptor3d_HCurve > &CGuide, const Handle< Law_Function > &L)
 Creates a function for a circular blending between a curve and a surface <S>. The direction of the planes are given by <CGuide>. The position of the plane is determined on the curve . <L> defines the change of parameter between and <CGuide>. So, the planes are defined as described below : t is the current parameter on the guide line. Pguide = C(L(t)); Nguide = CGuide'(t)/||CGuide'(t)||. More...
 
virtual Standard_Integer NbVariables () const override
 Returns 3 (default value). Can be redefined. More...
 
Standard_Integer NbEquations () const override
 returns the number of equations of the function (3). More...
 
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. More...
 
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. More...
 
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. More...
 
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. More...
 
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. More...
 
void GetTolerance (math_Vector &Tolerance, const Standard_Real Tol) const override
 Returns in the vector Tolerance the parametric tolerance for each of the 3 variables; Tol is the tolerance used in 3d space. More...
 
void GetBounds (math_Vector &InfBound, math_Vector &SupBound) const override
 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. More...
 
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. More...
 
const gp_PntPointOnS () const override
 Returns the point on the surface. More...
 
const gp_PntPointOnC () const override
 Returns the point on the curve. More...
 
const gp_Pnt2dPnt2d () const override
 Returns U,V coordinates of the point on the surface. More...
 
Standard_Real ParameterOnC () const override
 Returns parameter of the point on the curve. More...
 
Standard_Boolean IsTangencyPoint () const override
 Returns True when it is not possible to compute the tangent vectors at PointOnS and/or PointOnC. More...
 
const gp_VecTangentOnS () const override
 Returns the tangent vector at PointOnS, in 3d space. More...
 
const gp_Vec2dTangent2d () const override
 Returns the tangent vector at PointOnS, in the parametric space of the first surface. More...
 
const gp_VecTangentOnC () const override
 Returns the tangent vector at PointOnC, in 3d space. More...
 
void Tangent (const Standard_Real U, const Standard_Real V, gp_Vec &TgS, gp_Vec &NormS) const override
 Returns the tangent vector at the section, at the beginning and the end of the section, and returns the normal (of the surface) at these points. More...
 
void Set (const Standard_Real Radius, 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 U, const Standard_Real V, const Standard_Real W, Standard_Real &Pdeb, Standard_Real &Pfin, gp_Circ &C)
 
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 The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False. More...
 
Standard_Boolean GetSection (const Standard_Real Param, const Standard_Real U, const Standard_Real V, const Standard_Real W, TColgp_Array1OfPnt &tabP, TColgp_Array1OfVec &tabV)
 
Standard_Boolean IsRational () const override
 Returns if the section is rationnal. More...
 
Standard_Real GetSectionSize () const override
 Returns the length of the maximum section. More...
 
void GetMinimalWeight (TColStd_Array1OfReal &Weigths) const override
 Compute the minimal value of weight for each poles of all sections. More...
 
Standard_Integer NbIntervals (const GeomAbs_Shape S) const override
 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 override
 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) 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 respecte BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface. More...
 
void Knots (TColStd_Array1OfReal &TKnots) override
 
void Mults (TColStd_Array1OfInteger &TMults) override
 
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. More...
 
void Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths) override
 
void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const override
 
- Public Member Functions inherited from Blend_CSFunction
virtual Standard_Real GetMinimalDistance () const override
 Returns the minimal Distance beetween two extremitys of calculed sections. More...
 
const gp_PntPnt1 () const override
 Returns the point on the first support. More...
 
const gp_PntPnt2 () const override
 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_CSCircular()

BlendFunc_CSCircular::BlendFunc_CSCircular ( const Handle< Adaptor3d_HSurface > &  S,
const Handle< Adaptor3d_HCurve > &  C,
const Handle< Adaptor3d_HCurve > &  CGuide,
const Handle< Law_Function > &  L 
)

Creates a function for a circular blending between a curve and a surface <S>. The direction of the planes are given by <CGuide>. The position of the plane is determined on the curve . <L> defines the change of parameter between and <CGuide>. So, the planes are defined as described below : t is the current parameter on the guide line. Pguide = C(L(t)); Nguide = CGuide'(t)/||CGuide'(t)||.

Member Function Documentation

◆ Derivatives()

Standard_Boolean BlendFunc_CSCircular::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_CSFunction.

◆ GetBounds()

void BlendFunc_CSCircular::GetBounds ( math_Vector InfBound,
math_Vector SupBound 
) const
overridevirtual

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.

Implements Blend_CSFunction.

◆ GetMinimalWeight()

void BlendFunc_CSCircular::GetMinimalWeight ( TColStd_Array1OfReal Weigths) const
overridevirtual

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

Implements Blend_AppFunction.

◆ GetSection()

Standard_Boolean BlendFunc_CSCircular::GetSection ( const Standard_Real  Param,
const Standard_Real  U,
const Standard_Real  V,
const Standard_Real  W,
TColgp_Array1OfPnt tabP,
TColgp_Array1OfVec tabV 
)

◆ GetSectionSize()

Standard_Real BlendFunc_CSCircular::GetSectionSize ( ) const
overridevirtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

◆ GetShape()

void BlendFunc_CSCircular::GetShape ( Standard_Integer NbPoles,
Standard_Integer NbKnots,
Standard_Integer Degree,
Standard_Integer NbPoles2d 
)
overridevirtual

Implements Blend_CSFunction.

◆ GetTolerance() [1/2]

void BlendFunc_CSCircular::GetTolerance ( math_Vector Tolerance,
const Standard_Real  Tol 
) const
overridevirtual

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

Implements Blend_CSFunction.

◆ GetTolerance() [2/2]

void BlendFunc_CSCircular::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 respecte BoundTol error at the Boundary AngleTol tangent error at the Boundary SurfTol error inside the surface.

Implements Blend_CSFunction.

◆ Intervals()

void BlendFunc_CSCircular::Intervals ( TColStd_Array1OfReal T,
const GeomAbs_Shape  S 
) const
overridevirtual

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

Implements Blend_AppFunction.

◆ IsRational()

Standard_Boolean BlendFunc_CSCircular::IsRational ( ) const
overridevirtual

Returns if the section is rationnal.

Implements Blend_AppFunction.

◆ IsSolution()

Standard_Boolean BlendFunc_CSCircular::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_CSFunction.

◆ IsTangencyPoint()

Standard_Boolean BlendFunc_CSCircular::IsTangencyPoint ( ) const
overridevirtual

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

Implements Blend_CSFunction.

◆ Knots()

void BlendFunc_CSCircular::Knots ( TColStd_Array1OfReal TKnots)
overridevirtual

Implements Blend_CSFunction.

◆ Mults()

void BlendFunc_CSCircular::Mults ( TColStd_Array1OfInteger TMults)
overridevirtual

Implements Blend_CSFunction.

◆ NbEquations()

Standard_Integer BlendFunc_CSCircular::NbEquations ( ) const
overridevirtual

returns the number of equations of the function (3).

Implements Blend_CSFunction.

◆ NbIntervals()

Standard_Integer BlendFunc_CSCircular::NbIntervals ( const GeomAbs_Shape  S) const
overridevirtual

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

Implements Blend_AppFunction.

◆ NbVariables()

virtual Standard_Integer BlendFunc_CSCircular::NbVariables ( ) const
overridevirtual

Returns 3 (default value). Can be redefined.

Reimplemented from Blend_CSFunction.

◆ ParameterOnC()

Standard_Real BlendFunc_CSCircular::ParameterOnC ( ) const
overridevirtual

Returns parameter of the point on the curve.

Implements Blend_CSFunction.

◆ Pnt2d()

const gp_Pnt2d& BlendFunc_CSCircular::Pnt2d ( ) const
overridevirtual

Returns U,V coordinates of the point on the surface.

Implements Blend_CSFunction.

◆ PointOnC()

const gp_Pnt& BlendFunc_CSCircular::PointOnC ( ) const
overridevirtual

Returns the point on the curve.

Implements Blend_CSFunction.

◆ PointOnS()

const gp_Pnt& BlendFunc_CSCircular::PointOnS ( ) const
overridevirtual

Returns the point on the surface.

Implements Blend_CSFunction.

◆ Resolution()

void BlendFunc_CSCircular::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_CSCircular::Section ( const Standard_Real  Param,
const Standard_Real  U,
const Standard_Real  V,
const Standard_Real  W,
Standard_Real Pdeb,
Standard_Real Pfin,
gp_Circ C 
)

◆ Section() [2/4]

virtual Standard_Boolean BlendFunc_CSCircular::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 The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.

Reimplemented from Blend_CSFunction.

◆ Section() [3/4]

Standard_Boolean BlendFunc_CSCircular::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_CSFunction.

◆ Section() [4/4]

void BlendFunc_CSCircular::Section ( const Blend_Point P,
TColgp_Array1OfPnt Poles,
TColgp_Array1OfPnt2d Poles2d,
TColStd_Array1OfReal Weigths 
)
overridevirtual

Implements Blend_CSFunction.

◆ Set() [1/4]

void BlendFunc_CSCircular::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_CSFunction.

◆ Set() [2/4]

void BlendFunc_CSCircular::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_CSFunction.

◆ Set() [3/4]

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

◆ Set() [4/4]

void BlendFunc_CSCircular::Set ( const BlendFunc_SectionShape  TypeSection)

Sets the type of section generation for the approximations.

◆ Tangent()

void BlendFunc_CSCircular::Tangent ( const Standard_Real  U,
const Standard_Real  V,
gp_Vec TgS,
gp_Vec NormS 
) const
overridevirtual

Returns the tangent vector at the section, at the beginning and the end of the section, and returns the normal (of the surface) at these points.

Implements Blend_CSFunction.

◆ Tangent2d()

const gp_Vec2d& BlendFunc_CSCircular::Tangent2d ( ) const
overridevirtual

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

Implements Blend_CSFunction.

◆ TangentOnC()

const gp_Vec& BlendFunc_CSCircular::TangentOnC ( ) const
overridevirtual

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

Implements Blend_CSFunction.

◆ TangentOnS()

const gp_Vec& BlendFunc_CSCircular::TangentOnS ( ) const
overridevirtual

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

Implements Blend_CSFunction.

◆ Value()

Standard_Boolean BlendFunc_CSCircular::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_CSFunction.

◆ Values()

Standard_Boolean BlendFunc_CSCircular::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_CSFunction.


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