// Created on: 1995-01-27
// Created by: Jacques GOUSSARD
// Copyright (c) 1995-1999 Matra Datavision
// Copyright (c) 1999-2014 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 _GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile
#define _GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile

#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Handle.hxx>

#include <GeomInt_TheMultiLineOfWLApprox.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Real.hxx>
#include <GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox.hxx>
#include <TColStd_HArray1OfInteger.hxx>
#include <AppParCurves_HArray1OfConstraintCouple.hxx>
#include <math_MultipleVarFunctionWithGradient.hxx>
#include <AppParCurves_Constraint.hxx>
class GeomInt_TheMultiLineOfWLApprox;
class GeomInt_TheMultiLineToolOfWLApprox;
class GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox;
class GeomInt_ResConstraintOfMyGradientOfTheComputeLineBezierOfWLApprox;
class AppParCurves_MultiCurve;

class GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox
    : public math_MultipleVarFunctionWithGradient
{
public:
  DEFINE_STANDARD_ALLOC

  //! initializes the fields of the function. The approximating
  //! curve has the desired degree Deg.
  Standard_EXPORT 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);

  //! returns the number of variables of the function. It
  //! corresponds to the number of MultiPoints.
  Standard_EXPORT Standard_Integer NbVariables() const;

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

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

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

  //! returns the new parameters of the MultiLine.
  Standard_EXPORT const math_Vector& NewParameters() const;

  //! returns the MultiCurve approximating the set after
  //! computing the value F or Grad(F).
  Standard_EXPORT const AppParCurves_MultiCurve& CurveValue();

  //! returns the distance between the MultiPoint of range
  //! IPoint and the curve CurveIndex.
  Standard_EXPORT Standard_Real Error(const Standard_Integer IPoint,
                                      const Standard_Integer CurveIndex) const;

  //! returns the maximum distance between the points
  //! and the MultiCurve.
  Standard_EXPORT Standard_Real MaxError3d() const;

  //! returns the maximum distance between the points
  //! and the MultiCurve.
  Standard_EXPORT Standard_Real MaxError2d() const;

  Standard_EXPORT AppParCurves_Constraint
    FirstConstraint(const Handle(AppParCurves_HArray1OfConstraintCouple)& TheConstraints,
                    const Standard_Integer                                FirstPoint) const;

  Standard_EXPORT AppParCurves_Constraint
    LastConstraint(const Handle(AppParCurves_HArray1OfConstraintCouple)& TheConstraints,
                   const Standard_Integer                                LastPoint) const;

protected:
  //! this method is used each time Value or Gradient is
  //! needed.
  Standard_EXPORT void Perform(const math_Vector& X);

private:
  Standard_Boolean                                                   Done;
  GeomInt_TheMultiLineOfWLApprox                                     MyMultiLine;
  AppParCurves_MultiCurve                                            MyMultiCurve;
  Standard_Integer                                                   Degre;
  math_Vector                                                        myParameters;
  Standard_Real                                                      FVal;
  math_Vector                                                        ValGrad_F;
  math_Matrix                                                        MyF;
  math_Matrix                                                        PTLX;
  math_Matrix                                                        PTLY;
  math_Matrix                                                        PTLZ;
  math_Matrix                                                        A;
  math_Matrix                                                        DA;
  GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox MyLeastSquare;
  Standard_Boolean                                                   Contraintes;
  Standard_Integer                                                   NbP;
  Standard_Integer                                                   NbCu;
  Standard_Integer                                                   Adeb;
  Standard_Integer                                                   Afin;
  Handle(TColStd_HArray1OfInteger)                                   tabdim;
  Standard_Real                                                      ERR3d;
  Standard_Real                                                      ERR2d;
  Standard_Integer                                                   FirstP;
  Standard_Integer                                                   LastP;
  Handle(AppParCurves_HArray1OfConstraintCouple)                     myConstraints;
};

#endif // _GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile
