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

#include <BlendFunc_ChAsym.hxx>

Inheritance diagram for BlendFunc_ChAsym:
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Public Member Functions

 BlendFunc_ChAsym (const Handle< Adaptor3d_HSurface > &S1, const Handle< Adaptor3d_HSurface > &S2, const Handle< Adaptor3d_HCurve > &C)
 
Standard_Integer NbEquations () const override
 returns the number of equations of the function. 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 4 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 4 variables. Returns in the vector SupBound the greatest values allowed for each of the 4 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...
 
Standard_Real GetMinimalDistance () const override
 Returns the minimal Distance beetween two extremitys of calculed sections. More...
 
Standard_Boolean ComputeValues (const math_Vector &X, const Standard_Integer DegF, const Standard_Integer DegL)
 computes the values <F> of the derivatives for the variable <X> between DegF and DegL. Returns True if the computation was done successfully, False otherwise. 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...
 
const gp_PntPointOnS1 () 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. More...
 
const gp_PntPointOnS2 () 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. More...
 
Standard_Boolean IsTangencyPoint () const override
 Returns True when it is not possible to compute the tangent vectors at PointOnS1 and/or PointOnS2. More...
 
const gp_VecTangentOnS1 () const override
 Returns the tangent vector at PointOnS1, in 3d space. More...
 
const gp_Vec2dTangent2dOnS1 () const override
 Returns the tangent vector at PointOnS1, in the parametric space of the first surface. More...
 
const gp_VecTangentOnS2 () const override
 Returns the tangent vector at PointOnS2, in 3d space. More...
 
const gp_Vec2dTangent2dOnS2 () const override
 Returns the tangent vector at PointOnS2, in the parametric space of the second surface. More...
 
virtual Standard_Boolean TwistOnS1 () const override
 
virtual Standard_Boolean TwistOnS2 () const override
 
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. More...
 
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_Lin &C)
 Utile pour une visu rapide et approximative de la surface. More...
 
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
 
void Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths) override
 
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. More...
 
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. More...
 
void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const override
 
void Set (const Standard_Real Dist1, const Standard_Real Angle, const Standard_Integer Choix)
 Sets the distances and the angle. More...
 
- Public Member Functions inherited from Blend_Function
Standard_Integer NbVariables () const override
 Returns 4. 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_ChAsym()

BlendFunc_ChAsym::BlendFunc_ChAsym ( const Handle< Adaptor3d_HSurface > &  S1,
const Handle< Adaptor3d_HSurface > &  S2,
const Handle< Adaptor3d_HCurve > &  C 
)

Member Function Documentation

◆ ComputeValues()

Standard_Boolean BlendFunc_ChAsym::ComputeValues ( const math_Vector X,
const Standard_Integer  DegF,
const Standard_Integer  DegL 
)

computes the values <F> of the derivatives for the variable <X> between DegF and DegL. Returns True if the computation was done successfully, False otherwise.

◆ Derivatives()

Standard_Boolean BlendFunc_ChAsym::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_ChAsym::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_ChAsym::GetMinimalDistance ( ) const
overridevirtual

Returns the minimal Distance beetween two extremitys of calculed sections.

Implements Blend_AppFunction.

◆ GetMinimalWeight()

void BlendFunc_ChAsym::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_ChAsym::GetSectionSize ( ) const
overridevirtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

◆ GetShape()

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

Implements Blend_AppFunction.

◆ GetTolerance() [1/2]

void BlendFunc_ChAsym::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.

◆ GetTolerance() [2/2]

void BlendFunc_ChAsym::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_AppFunction.

◆ Intervals()

void BlendFunc_ChAsym::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()

Implements Blend_AppFunction.

◆ IsRational()

Standard_Boolean BlendFunc_ChAsym::IsRational ( ) const
overridevirtual

Returns if the section is rationnal.

Implements Blend_AppFunction.

◆ IsSolution()

Standard_Boolean BlendFunc_ChAsym::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_ChAsym::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_ChAsym::Knots ( TColStd_Array1OfReal TKnots)
overridevirtual

Implements Blend_AppFunction.

◆ Mults()

void BlendFunc_ChAsym::Mults ( TColStd_Array1OfInteger TMults)
overridevirtual

Implements Blend_AppFunction.

◆ NbEquations()

Standard_Integer BlendFunc_ChAsym::NbEquations ( ) const
overridevirtual

returns the number of equations of the function.

Implements Blend_AppFunction.

◆ NbIntervals()

Standard_Integer BlendFunc_ChAsym::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.

◆ PointOnS1()

const gp_Pnt& BlendFunc_ChAsym::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_ChAsym::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_ChAsym::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_ChAsym::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_Lin C 
)

Utile pour une visu rapide et approximative de la surface.

◆ Section() [2/4]

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

Implements Blend_Function.

◆ Section() [3/4]

virtual Standard_Boolean BlendFunc_ChAsym::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() [4/4]

virtual Standard_Boolean BlendFunc_ChAsym::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.

◆ Set() [1/3]

void BlendFunc_ChAsym::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() [2/3]

void BlendFunc_ChAsym::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() [3/3]

void BlendFunc_ChAsym::Set ( const Standard_Real  Dist1,
const Standard_Real  Angle,
const Standard_Integer  Choix 
)

Sets the distances and the angle.

◆ Tangent()

void BlendFunc_ChAsym::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_ChAsym::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_ChAsym::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_ChAsym::TangentOnS1 ( ) const
overridevirtual

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

Implements Blend_Function.

◆ TangentOnS2()

const gp_Vec& BlendFunc_ChAsym::TangentOnS2 ( ) const
overridevirtual

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

Implements Blend_Function.

◆ TwistOnS1()

virtual Standard_Boolean BlendFunc_ChAsym::TwistOnS1 ( ) const
overridevirtual

Reimplemented from Blend_Function.

◆ TwistOnS2()

virtual Standard_Boolean BlendFunc_ChAsym::TwistOnS2 ( ) const
overridevirtual

Reimplemented from Blend_Function.

◆ Value()

Standard_Boolean BlendFunc_ChAsym::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_ChAsym::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: