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// Created on: 1991-12-02
// Created by: Laurent PAINNOT
// Copyright (c) 1991-1999 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 _AppDef_ParFunctionOfTheGradient_HeaderFile
#define _AppDef_ParFunctionOfTheGradient_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Handle.hxx>
#include <AppDef_MultiLine.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Real.hxx>
#include <AppDef_ParLeastSquareOfTheGradient.hxx>
#include <NCollection_Array1.hxx>
#include <NCollection_HArray1.hxx>
#include <AppParCurves_ConstraintCouple.hxx>
#include <math_MultipleVarFunctionWithGradient.hxx>
#include <AppParCurves_Constraint.hxx>
class AppDef_MultiLine;
class AppDef_MyLineTool;
class AppDef_ParLeastSquareOfTheGradient;
class AppDef_ResConstraintOfTheGradient;
class AppParCurves_MultiCurve;
class AppDef_ParFunctionOfTheGradient : public math_MultipleVarFunctionWithGradient
{
public:
DEFINE_STANDARD_ALLOC
//! initializes the fields of the function. The approximating
//! curve has the desired degree Deg.
Standard_EXPORT AppDef_ParFunctionOfTheGradient(
const AppDef_MultiLine& SSP,
const int FirstPoint,
const int LastPoint,
const occ::handle<NCollection_HArray1<AppParCurves_ConstraintCouple>>& TheConstraints,
const math_Vector& Parameters,
const int Deg);
//! returns the number of variables of the function. It
//! corresponds to the number of MultiPoints.
Standard_EXPORT int NbVariables() const override;
//! 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 bool Value(const math_Vector& X, double& F) override;
//! returns the gradient G of the sum above for the
//! parameters Xi.
Standard_EXPORT bool Gradient(const math_Vector& X, math_Vector& G) override;
//! returns the value F=sum(||Pui - Bi*Pi||)2.
//! returns the value G = grad(F) for the parameters Xi.
Standard_EXPORT bool Values(const math_Vector& X, double& F, math_Vector& G) override;
//! 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 double Error(const int IPoint, const int CurveIndex) const;
//! returns the maximum distance between the points
//! and the MultiCurve.
Standard_EXPORT double MaxError3d() const;
//! returns the maximum distance between the points
//! and the MultiCurve.
Standard_EXPORT double MaxError2d() const;
Standard_EXPORT AppParCurves_Constraint FirstConstraint(
const occ::handle<NCollection_HArray1<AppParCurves_ConstraintCouple>>& TheConstraints,
const int FirstPoint) const;
Standard_EXPORT AppParCurves_Constraint LastConstraint(
const occ::handle<NCollection_HArray1<AppParCurves_ConstraintCouple>>& TheConstraints,
const int LastPoint) const;
protected:
//! this method is used each time Value or Gradient is
//! needed.
Standard_EXPORT void Perform(const math_Vector& X);
private:
bool Done;
AppDef_MultiLine MyMultiLine;
AppParCurves_MultiCurve MyMultiCurve;
int Degre;
math_Vector myParameters;
double FVal;
math_Vector ValGrad_F;
math_Matrix MyF;
math_Matrix PTLX;
math_Matrix PTLY;
math_Matrix PTLZ;
math_Matrix A;
math_Matrix DA;
AppDef_ParLeastSquareOfTheGradient MyLeastSquare;
bool Contraintes;
int NbP;
int NbCu;
int Adeb;
int Afin;
occ::handle<NCollection_HArray1<int>> tabdim;
double ERR3d;
double ERR2d;
int FirstP;
int LastP;
occ::handle<NCollection_HArray1<AppParCurves_ConstraintCouple>> myConstraints;
};
#endif // _AppDef_ParFunctionOfTheGradient_HeaderFile