Open CASCADE Technology  7.2.0

# GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox Class Reference

`#include <GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox.hxx>`

Inheritance diagram for GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox:
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## Public Member Functions

GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox (const GeomInt_TheMultiLineOfWLApprox &SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const math_Vector &Parameters, const Standard_Integer Deg)
initializes the fields of the function. The approximating curve has the desired degree Deg. More...

Standard_Integer NbVariables () const
returns the number of variables of the function. It corresponds to the number of MultiPoints. More...

Standard_Boolean Value (const math_Vector &X, Standard_Real &F)
this method computes the new approximation of the MultiLine SSP and calculates F = sum (||Pui - Bi*Pi||2) for each point of the MultiLine. More...

Standard_Boolean Gradient (const math_Vector &X, math_Vector &G)
returns the gradient G of the sum above for the parameters Xi. More...

Standard_Boolean Values (const math_Vector &X, Standard_Real &F, math_Vector &G)
returns the value F=sum(||Pui - Bi*Pi||)2. returns the value G = grad(F) for the parameters Xi. More...

const math_VectorNewParameters () const
returns the new parameters of the MultiLine. More...

const AppParCurves_MultiCurveCurveValue ()
returns the MultiCurve approximating the set after computing the value F or Grad(F). More...

Standard_Real Error (const Standard_Integer IPoint, const Standard_Integer CurveIndex) const
returns the distance between the MultiPoint of range IPoint and the curve CurveIndex. More...

Standard_Real MaxError3d () const
returns the maximum distance between the points and the MultiCurve. More...

Standard_Real MaxError2d () const
returns the maximum distance between the points and the MultiCurve. More...

AppParCurves_Constraint FirstConstraint (const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const Standard_Integer FirstPoint) const

AppParCurves_Constraint LastConstraint (const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const Standard_Integer LastPoint) const

Public Member Functions inherited from math_MultipleVarFunction
virtual Standard_Integer GetStateNumber ()
return the state of the function corresponding to the latestt call of any methods associated to 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_MultipleVarFunction ()

## Protected Member Functions

void Perform (const math_Vector &X)
this method is used each time Value or Gradient is needed. More...

## Constructor & Destructor Documentation

 GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox ( const GeomInt_TheMultiLineOfWLApprox & SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > & TheConstraints, const math_Vector & Parameters, const Standard_Integer Deg )

initializes the fields of the function. The approximating curve has the desired degree Deg.

## ◆ CurveValue()

 const AppParCurves_MultiCurve& GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::CurveValue ( )

returns the MultiCurve approximating the set after computing the value F or Grad(F).

## ◆ Error()

 Standard_Real GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::Error ( const Standard_Integer IPoint, const Standard_Integer CurveIndex ) const

returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

## ◆ FirstConstraint()

 AppParCurves_Constraint GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::FirstConstraint ( const Handle< AppParCurves_HArray1OfConstraintCouple > & TheConstraints, const Standard_Integer FirstPoint ) const

 Standard_Boolean GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::Gradient ( const math_Vector & X, math_Vector & G )
virtual

returns the gradient G of the sum above for the parameters Xi.

## ◆ LastConstraint()

 AppParCurves_Constraint GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::LastConstraint ( const Handle< AppParCurves_HArray1OfConstraintCouple > & TheConstraints, const Standard_Integer LastPoint ) const

## ◆ MaxError2d()

 Standard_Real GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::MaxError2d ( ) const

returns the maximum distance between the points and the MultiCurve.

## ◆ MaxError3d()

 Standard_Real GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::MaxError3d ( ) const

returns the maximum distance between the points and the MultiCurve.

## ◆ NbVariables()

 Standard_Integer GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::NbVariables ( ) const
virtual

returns the number of variables of the function. It corresponds to the number of MultiPoints.

## ◆ NewParameters()

 const math_Vector& GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::NewParameters ( ) const

returns the new parameters of the MultiLine.

## ◆ Perform()

 void GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox::Perform ( const math_Vector & X )
protected

this method is used each time Value or Gradient is needed.

## ◆ Value()

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

this method computes the new approximation of the MultiLine SSP and calculates F = sum (||Pui - Bi*Pi||2) for each point of the MultiLine.