Open CASCADE Technology  7.7.0.dev
Public Member Functions

FairCurve_Newton Class Reference

Algorithme of Optimization used to make "FairCurve". More...

#include <FairCurve_Newton.hxx>

Inheritance diagram for FairCurve_Newton:
Inheritance graph
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Public Member Functions

 FairCurve_Newton (const math_MultipleVarFunctionWithHessian &theFunction, const Standard_Real theSpatialTolerance=1.0e-7, const Standard_Real theCriteriumTolerance=1.0e-7, const Standard_Integer theNbIterations=40, const Standard_Real theConvexity=1.0e-6, const Standard_Boolean theWithSingularity=Standard_True)
 The tolerance required on the solution is given by Tolerance. Iteration are stopped if (!WithSingularity) and H(F(Xi)) is not definite positive (if the smaller eigenvalue of H < Convexity) or IsConverged() returns True for 2 successives Iterations. Warning: This constructor do not computation. More...
 
virtual Standard_Boolean IsConverged () const override
 This method is called at the end of each iteration to check the convergence : || Xi+1 - Xi || < SpatialTolerance/100 Or || Xi+1 - Xi || < SpatialTolerance and |F(Xi+1) - F(Xi)| < CriteriumTolerance * |F(xi)| It can be redefined in a sub-class to implement a specific test. More...
 
- Public Member Functions inherited from math_NewtonMinimum
 math_NewtonMinimum (const math_MultipleVarFunctionWithHessian &theFunction, const Standard_Real theTolerance=Precision::Confusion(), const Standard_Integer theNbIterations=40, const Standard_Real theConvexity=1.0e-6, const Standard_Boolean theWithSingularity=Standard_True)
 The tolerance required on the solution is given by Tolerance. Iteration are stopped if (!WithSingularity) and H(F(Xi)) is not definite positive (if the smaller eigenvalue of H < Convexity) or IsConverged() returns True for 2 successives Iterations. Warning: This constructor does not perform computation. More...
 
void Perform (math_MultipleVarFunctionWithHessian &theFunction, const math_Vector &theStartingPoint)
 Search the solution. More...
 
virtual ~math_NewtonMinimum ()
 Destructor. More...
 
Standard_Boolean IsDone () const
 Tests if an error has occurred. More...
 
Standard_Boolean IsConvex () const
 Tests if the Function is convexe during optimization. More...
 
const math_VectorLocation () const
 returns the location vector of the minimum. Exception NotDone is raised if an error has occurred. More...
 
void Location (math_Vector &Loc) const
 outputs the location vector of the minimum in Loc. Exception NotDone is raised if an error has occurred. Exception DimensionError is raised if the range of Loc is not equal to the range of the StartingPoint. More...
 
void SetBoundary (const math_Vector &theLeftBorder, const math_Vector &theRightBorder)
 Set boundaries. More...
 
Standard_Real Minimum () const
 returns the value of the minimum. Exception NotDone is raised if the minimum was not found. More...
 
const math_VectorGradient () const
 returns the gradient vector at the minimum. Exception NotDone is raised if an error has occurred. The minimum was not found. More...
 
void Gradient (math_Vector &Grad) const
 outputs the gradient vector at the minimum in Grad. Exception NotDone is raised if the minimum was not found. Exception DimensionError is raised if the range of Grad is not equal to the range of the StartingPoint. More...
 
Standard_Integer NbIterations () const
 returns the number of iterations really done in the calculation of the minimum. The exception NotDone is raised if an error has occurred. More...
 
math_Status GetStatus () const
 Returns the Status of computation. The exception NotDone is raised if an error has occurred. More...
 
void Dump (Standard_OStream &o) const
 Prints on the stream o information on the current state of the object. Is used to redefine the operator <<. More...
 

Additional Inherited Members

- Protected Attributes inherited from math_NewtonMinimum
math_Status TheStatus
 
math_Vector TheLocation
 
math_Vector TheGradient
 
math_Vector TheStep
 
math_Matrix TheHessian
 
Standard_Real PreviousMinimum
 
Standard_Real TheMinimum
 
Standard_Real MinEigenValue
 
Standard_Real XTol
 
Standard_Real CTol
 
Standard_Integer nbiter
 
Standard_Boolean NoConvexTreatement
 
Standard_Boolean Convex
 
Standard_Boolean myIsBoundsDefined
 
math_Vector myLeft
 
math_Vector myRight
 

Detailed Description

Algorithme of Optimization used to make "FairCurve".

Constructor & Destructor Documentation

◆ FairCurve_Newton()

FairCurve_Newton::FairCurve_Newton ( const math_MultipleVarFunctionWithHessian theFunction,
const Standard_Real  theSpatialTolerance = 1.0e-7,
const Standard_Real  theCriteriumTolerance = 1.0e-7,
const Standard_Integer  theNbIterations = 40,
const Standard_Real  theConvexity = 1.0e-6,
const Standard_Boolean  theWithSingularity = Standard_True 
)

The tolerance required on the solution is given by Tolerance. Iteration are stopped if (!WithSingularity) and H(F(Xi)) is not definite positive (if the smaller eigenvalue of H < Convexity) or IsConverged() returns True for 2 successives Iterations. Warning: This constructor do not computation.

Member Function Documentation

◆ IsConverged()

virtual Standard_Boolean FairCurve_Newton::IsConverged ( ) const
overridevirtual

This method is called at the end of each iteration to check the convergence : || Xi+1 - Xi || < SpatialTolerance/100 Or || Xi+1 - Xi || < SpatialTolerance and |F(Xi+1) - F(Xi)| < CriteriumTolerance * |F(xi)| It can be redefined in a sub-class to implement a specific test.

Reimplemented from math_NewtonMinimum.


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