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 // 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_TheComputeLineOfWLApprox_HeaderFile
 #define _GeomInt_TheComputeLineOfWLApprox_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <AppParCurves_MultiBSpCurve.hxx>
 #include <Approx_ParametrizationType.hxx>
 #include <NCollection_Array1.hxx>
 #include <NCollection_HArray1.hxx>
 #include <Standard_Integer.hxx>
 #include <AppParCurves_ConstraintCouple.hxx>
 #include <AppParCurves_Constraint.hxx>
 #include <math_Vector.hxx>
 class GeomInt_TheMultiLineOfWLApprox;
 class GeomInt_TheMultiLineToolOfWLApprox;
 class GeomInt_MyBSplGradientOfTheComputeLineOfWLApprox;
 class GeomInt_BSpParLeastSquareOfMyBSplGradientOfTheComputeLineOfWLApprox;
 class GeomInt_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfWLApprox;
 class GeomInt_BSpGradient_BFGSOfMyBSplGradientOfTheComputeLineOfWLApprox;
 class GeomInt_MyGradientbisOfTheComputeLineOfWLApprox;
 class GeomInt_ParLeastSquareOfMyGradientbisOfTheComputeLineOfWLApprox;
 class GeomInt_ResConstraintOfMyGradientbisOfTheComputeLineOfWLApprox;
 class GeomInt_ParFunctionOfMyGradientbisOfTheComputeLineOfWLApprox;
 class GeomInt_Gradient_BFGSOfMyGradientbisOfTheComputeLineOfWLApprox;
 class AppParCurves_MultiBSpCurve;
 class AppParCurves_MultiCurve;
 
 class GeomInt_TheComputeLineOfWLApprox
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! The MultiLine <Line> will be approximated until tolerances
   //! will be reached.
   //! The approximation will be done from degreemin to degreemax
   //! with a cutting if the corresponding boolean is True.
   //! If <Squares> is True, the computation will be done with
   //! no iteration at all.
   //!
   //! The multiplicities of the internal knots is set by
   //! default.
   Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(
     const GeomInt_TheMultiLineOfWLApprox& Line,
     const int                             degreemin       = 4,
     const int                             degreemax       = 8,
     const double                          Tolerance3d     = 1.0e-3,
     const double                          Tolerance2d     = 1.0e-6,
     const int                             NbIterations    = 5,
     const bool                            cutting         = true,
     const Approx_ParametrizationType      parametrization = Approx_ChordLength,
     const bool                            Squares         = false);
 
   //! The MultiLine <Line> will be approximated until tolerances
   //! will be reached.
   //! The approximation will be done from degreemin to degreemax
   //! with a cutting if the corresponding boolean is True.
   //! If <Squares> is True, the computation will be done with
   //! no iteration at all.
   Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const GeomInt_TheMultiLineOfWLApprox& Line,
                                                    const math_Vector&                    Parameters,
                                                    const int    degreemin    = 4,
                                                    const int    degreemax    = 8,
                                                    const double Tolerance3d  = 1.0e-03,
                                                    const double Tolerance2d  = 1.0e-06,
                                                    const int    NbIterations = 5,
                                                    const bool   cutting      = true,
                                                    const bool   Squares      = false);
 
   //! Initializes the fields of the algorithm.
   Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const math_Vector& Parameters,
                                                    const int          degreemin    = 4,
                                                    const int          degreemax    = 8,
                                                    const double       Tolerance3d  = 1.0e-03,
                                                    const double       Tolerance2d  = 1.0e-06,
                                                    const int          NbIterations = 5,
                                                    const bool         cutting      = true,
                                                    const bool         Squares      = false);
 
   //! Initializes the fields of the algorithm.
   Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(
     const int                        degreemin       = 4,
     const int                        degreemax       = 8,
     const double                     Tolerance3d     = 1.0e-03,
     const double                     Tolerance2d     = 1.0e-06,
     const int                        NbIterations    = 5,
     const bool                       cutting         = true,
     const Approx_ParametrizationType parametrization = Approx_ChordLength,
     const bool                       Squares         = false);
 
   //! Constructs an interpolation of the MultiLine <Line>
   //! The result will be a C2 curve of degree 3.
   Standard_EXPORT void Interpol(const GeomInt_TheMultiLineOfWLApprox& Line);
 
   //! Initializes the fields of the algorithm.
   Standard_EXPORT void Init(const int                        degreemin       = 4,
                             const int                        degreemax       = 8,
                             const double                     Tolerance3d     = 1.0e-03,
                             const double                     Tolerance2d     = 1.0e-06,
                             const int                        NbIterations    = 5,
                             const bool                       cutting         = true,
                             const Approx_ParametrizationType parametrization = Approx_ChordLength,
                             const bool                       Squares         = false);
 
   //! runs the algorithm after having initialized the fields.
   Standard_EXPORT void Perform(const GeomInt_TheMultiLineOfWLApprox& Line);
 
   //! The approximation will begin with the
   //! set of parameters <ThePar>.
   Standard_EXPORT void SetParameters(const math_Vector& ThePar);
 
   //! The approximation will be done with the
   //! set of knots <Knots>. The multiplicities will be set
   //! with the degree and the desired continuity.
   Standard_EXPORT void SetKnots(const NCollection_Array1<double>& Knots);
 
   //! The approximation will be done with the
   //! set of knots <Knots> and the multiplicities <Mults>.
   Standard_EXPORT void SetKnotsAndMultiplicities(const NCollection_Array1<double>& Knots,
                                                  const NCollection_Array1<int>&    Mults);
 
   //! changes the degrees of the approximation.
   Standard_EXPORT void SetDegrees(const int degreemin, const int degreemax);
 
   //! Changes the tolerances of the approximation.
   Standard_EXPORT void SetTolerances(const double Tolerance3d, const double Tolerance2d);
 
   //! sets the continuity of the spline.
   //! if C = 2, the spline will be C2.
   Standard_EXPORT void SetContinuity(const int C);
 
   //! changes the first and the last constraint points.
   Standard_EXPORT void SetConstraints(const AppParCurves_Constraint firstC,
                                       const AppParCurves_Constraint lastC);
 
   //! Sets periodic flag.
   //! If thePeriodic = true, algorithm tries to build periodic
   //! multicurve using corresponding C1 boundary condition for first and last multipoints.
   //! Multiline must be closed.
   Standard_EXPORT void SetPeriodic(const bool thePeriodic);
 
   //! returns False if at a moment of the approximation,
   //! the status NoApproximation has been sent by the user
   //! when more points were needed.
   Standard_EXPORT bool IsAllApproximated() const;
 
   //! returns False if the status NoPointsAdded has been sent.
   Standard_EXPORT bool IsToleranceReached() const;
 
   //! returns the tolerances 2d and 3d of the MultiBSpCurve.
   Standard_EXPORT void Error(double& tol3d, double& tol2d) const;
 
   //! returns the result of the approximation.
   Standard_EXPORT const AppParCurves_MultiBSpCurve& Value() const;
 
   //! returns the result of the approximation.
   Standard_EXPORT AppParCurves_MultiBSpCurve& ChangeValue();
 
   //! returns the new parameters of the approximation
   //! corresponding to the points of the MultiBSpCurve.
   Standard_EXPORT const NCollection_Array1<double>& Parameters() const;
 
 private:
   //! is internally used in the algorithm.
   Standard_EXPORT bool Compute(const GeomInt_TheMultiLineOfWLApprox& Line,
                                const int                             fpt,
                                const int                             lpt,
                                math_Vector&                          Para,
                                const NCollection_Array1<double>&     Knots,
                                NCollection_Array1<int>&              Mults);
 
   //! is internally used in the algorithm.
   Standard_EXPORT bool ComputeCurve(const GeomInt_TheMultiLineOfWLApprox& Line,
                                     const int                             firspt,
                                     const int                             lastpt);
 
   //! computes new parameters between firstP and lastP.
   Standard_EXPORT void Parameters(const GeomInt_TheMultiLineOfWLApprox& Line,
                                   const int                             firstP,
                                   const int                             LastP,
                                   math_Vector&                          TheParameters) const;
 
   Standard_EXPORT double SearchFirstLambda(const GeomInt_TheMultiLineOfWLApprox& Line,
                                            const math_Vector&                    Para,
                                            const NCollection_Array1<double>&     Knots,
                                            const math_Vector&                    V,
                                            const int                             index) const;
 
   Standard_EXPORT double SearchLastLambda(const GeomInt_TheMultiLineOfWLApprox& Line,
                                           const math_Vector&                    Para,
                                           const NCollection_Array1<double>&     Knots,
                                           const math_Vector&                    V,
                                           const int                             index) const;
 
   Standard_EXPORT void TangencyVector(const GeomInt_TheMultiLineOfWLApprox& Line,
                                       const AppParCurves_MultiCurve&        C,
                                       const double                          U,
                                       math_Vector&                          V) const;
 
   Standard_EXPORT void FirstTangencyVector(const GeomInt_TheMultiLineOfWLApprox& Line,
                                            const int                             index,
                                            math_Vector&                          V) const;
 
   Standard_EXPORT void LastTangencyVector(const GeomInt_TheMultiLineOfWLApprox& Line,
                                           const int                             index,
                                           math_Vector&                          V) const;
 
   Standard_EXPORT void FindRealConstraints(const GeomInt_TheMultiLineOfWLApprox& Line);
 
   AppParCurves_MultiBSpCurve                                      TheMultiBSpCurve;
   bool                                                            alldone;
   bool                                                            tolreached;
   Approx_ParametrizationType                                      Par;
   occ::handle<NCollection_HArray1<double>>                        myParameters;
   occ::handle<NCollection_HArray1<double>>                        myfirstParam;
   occ::handle<NCollection_HArray1<double>>                        myknots;
   occ::handle<NCollection_HArray1<int>>                           mymults;
   bool                                                            myhasknots;
   bool                                                            myhasmults;
   occ::handle<NCollection_HArray1<AppParCurves_ConstraintCouple>> myConstraints;
   int                                                             mydegremin;
   int                                                             mydegremax;
   double                                                          mytol3d;
   double                                                          mytol2d;
   double                                                          currenttol3d;
   double                                                          currenttol2d;
   bool                                                            mycut;
   bool                                                            mysquares;
   int                                                             myitermax;
   AppParCurves_Constraint                                         myfirstC;
   AppParCurves_Constraint                                         mylastC;
   AppParCurves_Constraint                                         realfirstC;
   AppParCurves_Constraint                                         reallastC;
   int                                                             mycont;
   double                                                          mylambda1;
   double                                                          mylambda2;
   bool                                                            myPeriodic;
 };
 
 #endif // _GeomInt_TheComputeLineOfWLApprox_HeaderFile

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