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0001 // Created on: 1996-10-11
0002 // Created by: Philippe MANGIN
0003 // Copyright (c) 1996-1999 Matra Datavision
0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS
0005 //
0006 // This file is part of Open CASCADE Technology software library.
0007 //
0008 // This library is free software; you can redistribute it and/or modify it under
0009 // the terms of the GNU Lesser General Public License version 2.1 as published
0010 // by the Free Software Foundation, with special exception defined in the file
0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
0012 // distribution for complete text of the license and disclaimer of any warranty.
0013 //
0014 // Alternatively, this file may be used under the terms of Open CASCADE
0015 // commercial license or contractual agreement.
0016 
0017 #ifndef _FairCurve_Newton_HeaderFile
0018 #define _FairCurve_Newton_HeaderFile
0019 
0020 #include <Standard.hxx>
0021 #include <Standard_DefineAlloc.hxx>
0022 #include <Standard_Handle.hxx>
0023 
0024 #include <math_NewtonMinimum.hxx>
0025 class math_MultipleVarFunctionWithHessian;
0026 
0027 
0028 //! Algorithme of Optimization used to make "FairCurve"
0029 class FairCurve_Newton  : public math_NewtonMinimum
0030 {
0031 public:
0032 
0033   DEFINE_STANDARD_ALLOC
0034 
0035   
0036 
0037   //! The tolerance  required on  the  solution is given  by Tolerance.
0038   //! Iteration are  stopped if (!WithSingularity)  and H(F(Xi)) is not definite
0039   //! positive  (if the smaller eigenvalue of H < Convexity)
0040   //! or IsConverged() returns True for 2 successives Iterations.
0041   //! Warning: This constructor do not computation
0042   Standard_EXPORT 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);
0043   
0044 
0045   //! This method is  called    at the end  of   each
0046   //! iteration to  check the convergence :
0047   //! || Xi+1 - Xi || < SpatialTolerance/100 Or
0048   //! || Xi+1 - Xi || < SpatialTolerance and
0049   //! |F(Xi+1) - F(Xi)| < CriteriumTolerance * |F(xi)|
0050   //! It can be redefined in a sub-class to implement a specific test.
0051   Standard_EXPORT virtual Standard_Boolean IsConverged() const Standard_OVERRIDE;
0052 
0053 
0054 
0055 
0056 protected:
0057 
0058 
0059 
0060 
0061 
0062 private:
0063 
0064 
0065 
0066   Standard_Real mySpTol;
0067 
0068 
0069 };
0070 
0071 
0072 
0073 
0074 
0075 
0076 
0077 #endif // _FairCurve_Newton_HeaderFile