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## Public Member Functions

Standard_Integer NbEquations () const override
returns the number of equations of the function. 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 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...

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...

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...

virtual Standard_Boolean TwistOnS1 () const override

virtual Standard_Boolean TwistOnS2 () const override

void Set (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 U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, Standard_Real &Pdeb, Standard_Real &Pfin, gp_Circ &C)
Method for graphic traces. 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

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...

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...

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_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 ()

## Member Function Documentation

 Standard_Boolean BlendFunc_EvolRad::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_Function.

 void BlendFunc_EvolRad::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_Function.

overridevirtual

Returns the minimal Distance beetween two extremitys of calculed sections.

Implements Blend_AppFunction.

 void BlendFunc_EvolRad::GetMinimalWeight ( TColStd_Array1OfReal & Weigths ) const
overridevirtual

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

Implements Blend_AppFunction.

overridevirtual

Returns the length of the maximum section.

Implements Blend_AppFunction.

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

Implements Blend_Function.

 void BlendFunc_EvolRad::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_Function.

 void BlendFunc_EvolRad::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_Function.

 void BlendFunc_EvolRad::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.

overridevirtual

Returns if the section is rationnal.

Implements Blend_AppFunction.

 Standard_Boolean BlendFunc_EvolRad::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_Function.

overridevirtual

Returns True when it is not possible to compute the tangent vectors at PointOnS1 and/or PointOnS2.

Implements Blend_Function.

 void BlendFunc_EvolRad::Knots ( TColStd_Array1OfReal & TKnots )
overridevirtual

Implements Blend_Function.

 void BlendFunc_EvolRad::Mults ( TColStd_Array1OfInteger & TMults )
overridevirtual

Implements Blend_Function.

overridevirtual

returns the number of equations of the function.

Implements Blend_Function.

 Standard_Integer BlendFunc_EvolRad::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.

 const gp_Pnt& BlendFunc_EvolRad::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.

 const gp_Pnt& BlendFunc_EvolRad::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.

 void BlendFunc_EvolRad::Resolution ( const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real & TolU, Standard_Real & TolV ) const
overridevirtual

Implements Blend_AppFunction.

 void BlendFunc_EvolRad::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_Circ & C )

Method for graphic traces.

 virtual Standard_Boolean BlendFunc_EvolRad::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.

 virtual Standard_Boolean BlendFunc_EvolRad::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_Function.

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

Implements Blend_Function.

 void BlendFunc_EvolRad::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_Function.

 void BlendFunc_EvolRad::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_Function.

 void BlendFunc_EvolRad::Set ( const Standard_Integer Choix )
 void BlendFunc_EvolRad::Set ( const BlendFunc_SectionShape TypeSection )

Sets the type of section generation for the approximations.

 void BlendFunc_EvolRad::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.

 const gp_Vec2d& BlendFunc_EvolRad::Tangent2dOnS1 ( ) const
overridevirtual

Returns the tangent vector at PointOnS1, in the parametric space of the first surface.

Implements Blend_Function.

 const gp_Vec2d& BlendFunc_EvolRad::Tangent2dOnS2 ( ) const
overridevirtual

Returns the tangent vector at PointOnS2, in the parametric space of the second surface.

Implements Blend_Function.

 const gp_Vec& BlendFunc_EvolRad::TangentOnS1 ( ) const
overridevirtual

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

Implements Blend_Function.

 const gp_Vec& BlendFunc_EvolRad::TangentOnS2 ( ) const
overridevirtual

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

Implements Blend_Function.

 virtual Standard_Boolean BlendFunc_EvolRad::TwistOnS1 ( ) const
overridevirtual

Reimplemented from Blend_Function.

 virtual Standard_Boolean BlendFunc_EvolRad::TwistOnS2 ( ) const
overridevirtual

Reimplemented from Blend_Function.

 Standard_Boolean BlendFunc_EvolRad::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_Function.

 Standard_Boolean BlendFunc_EvolRad::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_Function.

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