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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_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile
 #define _GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <AppParCurves_Constraint.hxx>
 #include <AppParCurves_MultiBSpCurve.hxx>
 #include <NCollection_Array1.hxx>
 #include <NCollection_HArray1.hxx>
 #include <Standard_Integer.hxx>
 #include <math_Matrix.hxx>
 #include <math_Vector.hxx>
 #include <math_IntegerVector.hxx>
 #include <Standard_Real.hxx>
 class StdFail_NotDone;
 class Standard_OutOfRange;
 class Standard_DimensionError;
 class Standard_NoSuchObject;
 class GeomInt_TheMultiLineOfWLApprox;
 class GeomInt_TheMultiLineToolOfWLApprox;
 class AppParCurves_MultiCurve;
 class AppParCurves_MultiBSpCurve;
 class math_Matrix;
 
 class GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! given a MultiLine, this algorithm computes the least
   //! square resolution using the Householder-QR method.
   //! If the first and/or the last point is a constraint
   //! point, the value of the tangency or curvature is
   //! computed in the resolution.
   //! NbPol is the number of control points wanted
   //! for the approximating curves.
   //! The system to solve is the following:
   //! A X = B.
   //! Where A is the Bernstein matrix computed with the
   //! parameters, B the points coordinates and X the poles
   //! solutions.
   //! The matrix A is the same for each coordinate x, y and z
   //! and is also the same for each MultiLine point because
   //! they are approximated in parallel(so with the same
   //! parameter, only the vector B changes).
   Standard_EXPORT GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox(
     const GeomInt_TheMultiLineOfWLApprox& SSP,
     const int                             FirstPoint,
     const int                             LastPoint,
     const AppParCurves_Constraint         FirstCons,
     const AppParCurves_Constraint         LastCons,
     const math_Vector&                    Parameters,
     const int                             NbPol);
 
   //! Initializes the fields of the object.
   Standard_EXPORT GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox(
     const GeomInt_TheMultiLineOfWLApprox& SSP,
     const int                             FirstPoint,
     const int                             LastPoint,
     const AppParCurves_Constraint         FirstCons,
     const AppParCurves_Constraint         LastCons,
     const int                             NbPol);
 
   //! given a MultiLine, this algorithm computes the least
   //! square resolution using the Householder-QR method.
   //! If the first and/or the last point is a constraint
   //! point, the value of the tangency or curvature is
   //! computed in the resolution.
   //! Deg is the degree wanted for the approximating curves.
   //! The system to solve is the following:
   //! A X = B.
   //! Where A is the BSpline functions matrix computed with
   //! <parameters>, B the points coordinates and X the poles
   //! solutions.
   //! The matrix A is the same for each coordinate x, y and z
   //! and is also the same for each MultiLine point because
   //! they are approximated in parallel(so with the same
   //! parameter, only the vector B changes).
   Standard_EXPORT GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox(
     const GeomInt_TheMultiLineOfWLApprox& SSP,
     const NCollection_Array1<double>&     Knots,
     const NCollection_Array1<int>&        Mults,
     const int                             FirstPoint,
     const int                             LastPoint,
     const AppParCurves_Constraint         FirstCons,
     const AppParCurves_Constraint         LastCons,
     const math_Vector&                    Parameters,
     const int                             NbPol);
 
   //! Initializes the fields of the object.
   Standard_EXPORT GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox(
     const GeomInt_TheMultiLineOfWLApprox& SSP,
     const NCollection_Array1<double>&     Knots,
     const NCollection_Array1<int>&        Mults,
     const int                             FirstPoint,
     const int                             LastPoint,
     const AppParCurves_Constraint         FirstCons,
     const AppParCurves_Constraint         LastCons,
     const int                             NbPol);
 
   //! Is used after having initialized the fields.
   //! The case "CurvaturePoint" is not treated in this method.
   Standard_EXPORT void Perform(const math_Vector& Parameters);
 
   //! Is used after having initialized the fields.
   Standard_EXPORT void Perform(const math_Vector& Parameters, const double l1, const double l2);
 
   //! Is used after having initialized the fields.
   //! <V1t> is the tangent vector at the first point.
   //! <V2t> is the tangent vector at the last point.
   Standard_EXPORT void Perform(const math_Vector& Parameters,
                                const math_Vector& V1t,
                                const math_Vector& V2t,
                                const double       l1,
                                const double       l2);
 
   //! Is used after having initialized the fields.
   //! <V1t> is the tangent vector at the first point.
   //! <V2t> is the tangent vector at the last point.
   //! <V1c> is the tangent vector at the first point.
   //! <V2c> is the tangent vector at the last point.
   Standard_EXPORT void Perform(const math_Vector& Parameters,
                                const math_Vector& V1t,
                                const math_Vector& V2t,
                                const math_Vector& V1c,
                                const math_Vector& V2c,
                                const double       l1,
                                const double       l2);
 
   //! returns True if all has been correctly done.
   Standard_EXPORT bool IsDone() const;
 
   //! returns the result of the approximation, i.e. all the
   //! Curves.
   //! An exception is raised if NotDone.
   Standard_EXPORT AppParCurves_MultiCurve BezierValue();
 
   //! returns the result of the approximation, i.e. all the
   //! Curves.
   //! An exception is raised if NotDone.
   Standard_EXPORT const AppParCurves_MultiBSpCurve& BSplineValue();
 
   //! returns the function matrix used to approximate the
   //! set.
   Standard_EXPORT const math_Matrix& FunctionMatrix() const;
 
   //! returns the derivative function matrix used
   //! to approximate the set.
   Standard_EXPORT const math_Matrix& DerivativeFunctionMatrix() const;
 
   //! returns the maximum errors between the MultiLine
   //! and the approximation curves. F is the sum of the square
   //! distances. Grad is the derivative vector of the
   //! function F.
   Standard_EXPORT void ErrorGradient(math_Vector& Grad, double& F, double& MaxE3d, double& MaxE2d);
 
   //! returns the distances between the points of the
   //! multiline and the approximation curves.
   Standard_EXPORT const math_Matrix& Distance();
 
   //! returns the maximum errors between the MultiLine
   //! and the approximation curves. F is the sum of the square
   //! distances.
   Standard_EXPORT void Error(double& F, double& MaxE3d, double& MaxE2d);
 
   //! returns the value (P2 - P1)/ V1 if the first point
   //! was a tangency point.
   Standard_EXPORT double FirstLambda() const;
 
   //! returns the value (PN - PN-1)/ VN if the last point
   //! was a tangency point.
   Standard_EXPORT double LastLambda() const;
 
   //! returns the matrix of points value.
   Standard_EXPORT const math_Matrix& Points() const;
 
   //! returns the matrix of resulting control points value.
   Standard_EXPORT const math_Matrix& Poles() const;
 
   //! Returns the indexes of the first non null values of
   //! A and DA.
   //! The values are non null from Index(ieme point) +1
   //! to Index(ieme point) + degree +1.
   Standard_EXPORT const math_IntegerVector& KIndex() const;
 
 protected:
   //! is used by the constructors above.
   Standard_EXPORT void Init(const GeomInt_TheMultiLineOfWLApprox& SSP,
                             const int                             FirstPoint,
                             const int                             LastPoint);
 
   //! returns the number of second member columns.
   //! Is used internally to initialize the fields.
   Standard_EXPORT int NbBColumns(const GeomInt_TheMultiLineOfWLApprox& SSP) const;
 
   //! returns the first point being fitted.
   Standard_EXPORT int TheFirstPoint(const AppParCurves_Constraint FirstCons,
                                     const int                     FirstPoint) const;
 
   //! returns the last point being fitted.
   Standard_EXPORT int TheLastPoint(const AppParCurves_Constraint LastCons,
                                    const int                     LastPoint) const;
 
   //! Affects the fields in the case of a constraint point.
   Standard_EXPORT void Affect(const GeomInt_TheMultiLineOfWLApprox& SSP,
                               const int                             Index,
                               AppParCurves_Constraint&              Cons,
                               math_Vector&                          Vt,
                               math_Vector&                          Vc);
 
   Standard_EXPORT void ComputeFunction(const math_Vector& Parameters);
 
   Standard_EXPORT void SearchIndex(math_IntegerVector& Index);
 
   //! computes internal matrixes for the resolution
   Standard_EXPORT void MakeTAA(math_Vector& TheA, math_Vector& TheB);
 
   //! computes internal matrixes for the resolution
   Standard_EXPORT void MakeTAA(math_Vector& TheA);
 
   //! computes internal matrixes for the resolution
   Standard_EXPORT void MakeTAA(math_Vector& TheA, math_Matrix& TheB);
 
 private:
   AppParCurves_Constraint                  FirstConstraint;
   AppParCurves_Constraint                  LastConstraint;
   AppParCurves_MultiBSpCurve               SCU;
   occ::handle<NCollection_HArray1<double>> myknots;
   occ::handle<NCollection_HArray1<int>>    mymults;
   math_Matrix                              mypoles;
   math_Matrix                              A;
   math_Matrix                              DA;
   math_Matrix                              B2;
   math_Matrix                              mypoints;
   math_Vector                              Vflatknots;
   math_Vector                              Vec1t;
   math_Vector                              Vec1c;
   math_Vector                              Vec2t;
   math_Vector                              Vec2c;
   math_Matrix                              theError;
   math_IntegerVector                       myindex;
   double                                   lambda1;
   double                                   lambda2;
   int                                      FirstP;
   int                                      LastP;
   int                                      Nlignes;
   int                                      Ninc;
   int                                      NA;
   int                                      myfirstp;
   int                                      mylastp;
   int                                      resinit;
   int                                      resfin;
   int                                      nbP2d;
   int                                      nbP;
   int                                      nbpoles;
   int                                      deg;
   bool                                     done;
   bool                                     iscalculated;
   bool                                     isready;
 };
 
 #endif // _GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox_HeaderFile

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