liboce-foundation-dev 0.17.1-1 / usr / include / oce / math_GlobOptMin.hxx

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// Created on: 2014-01-20
// Created by: Alexaner Malyshev
// Copyright (c) 2014-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.

#ifndef _math_GlobOptMin_HeaderFile
#define _math_GlobOptMin_HeaderFile

#include <math_MultipleVarFunction.hxx>
#include <NCollection_Sequence.hxx>
#include <Standard_Type.hxx>

//! This class represents Evtushenko's algorithm of global optimization based on nonuniform mesh.<br>
//! Article: Yu. Evtushenko. Numerical methods for finding global extreme (case of a non-uniform mesh). <br>
//! U.S.S.R. Comput. Maths. Math. Phys., Vol. 11, N 6, pp. 38-54.

class math_GlobOptMin
{
public:

  Standard_EXPORT math_GlobOptMin(math_MultipleVarFunction* theFunc,
                                 const math_Vector& theA,
                                 const math_Vector& theB,
                                 const Standard_Real theC = 9,
                                 const Standard_Real theDiscretizationTol = 1.0e-2,
                                 const Standard_Real theSameTol = 1.0e-7);

  Standard_EXPORT void SetGlobalParams(math_MultipleVarFunction* theFunc,
                                       const math_Vector& theA,
                                       const math_Vector& theB,
                                       const Standard_Real theC = 9,
                                       const Standard_Real theDiscretizationTol = 1.0e-2,
                                       const Standard_Real theSameTol = 1.0e-7);

  Standard_EXPORT void SetLocalParams(const math_Vector& theLocalA,
                                      const math_Vector& theLocalB);

  Standard_EXPORT void SetTol(const Standard_Real theDiscretizationTol,
                              const Standard_Real theSameTol);

  Standard_EXPORT void GetTol(Standard_Real& theDiscretizationTol,
                              Standard_Real& theSameTol);

  Standard_EXPORT ~math_GlobOptMin();

  Standard_EXPORT void Perform();

  //! Get best functional value.
  Standard_EXPORT Standard_Real GetF();

  //! Return count of global extremas.
  Standard_EXPORT Standard_Integer NbExtrema();

  //! Return solution i, 1 <= i <= NbExtrema.
  Standard_EXPORT void Points(const Standard_Integer theIndex, math_Vector& theSol);

  Standard_Boolean isDone();

private:

  math_GlobOptMin & operator = (const math_GlobOptMin & theOther);

  Standard_Boolean computeLocalExtremum(const math_Vector& thePnt, Standard_Real& theVal, math_Vector& theOutPnt);

  void computeGlobalExtremum(Standard_Integer theIndex);

  //! Computes starting value / approximation:
  // myF - initial best value.
  // myY - initial best point.
  // myC - approximation of Lipschitz constant.
  // to imporve convergence speed.
  void computeInitialValues();

  //! Check that myA <= pnt <= myB
  Standard_Boolean isInside(const math_Vector& thePnt);

  Standard_Boolean isStored(const math_Vector &thePnt);

  // Input.
  math_MultipleVarFunction* myFunc;
  Standard_Integer myN;
  math_Vector myA; // Left border on current C2 interval.
  math_Vector myB; // Right border on current C2 interval.
  math_Vector myGlobA; // Global left border.
  math_Vector myGlobB; // Global right border.
  Standard_Real myTol; // Discretization tolerance, default 1.0e-2.
  Standard_Real mySameTol; // points with ||p1 - p2|| < mySameTol is equal,
                           // function values |val1 - val2| * 0.01 < mySameTol is equal,
                           // default value is 1.0e-7.
  Standard_Real myC; //Lipschitz constant, default 9

  // Output.
  Standard_Boolean myDone;
  NCollection_Sequence<Standard_Real> myY;// Current solutions.
  Standard_Integer mySolCount; // Count of solutions.

  // Algorithm data.
  Standard_Real myZ;
  Standard_Real myE1; // Border coeff.
  Standard_Real myE2; // Minimum step size.
  Standard_Real myE3; // Local extrema starting parameter.

  math_Vector myX; // Current modified solution.
  math_Vector myTmp; // Current modified solution.
  math_Vector myV; // Steps array.
  math_Vector myMaxV; // Max Steps array.

  Standard_Real myF; // Current value of Global optimum.
};

const Handle(Standard_Type)& TYPE(math_GlobOptMin);

#endif

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