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 // Created on: 1992-10-14
 // Created by: Christophe MARION
 // Copyright (c) 1992-1999 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 _HLRBRep_SLProps_HeaderFile
 #define _HLRBRep_SLProps_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 
 #include <Standard_Integer.hxx>
 #include <gp_Pnt.hxx>
 #include <gp_Vec.hxx>
 #include <gp_Dir.hxx>
 #include <LProp_Status.hxx>
 class LProp_BadContinuity;
 class Standard_DomainError;
 class Standard_OutOfRange;
 class LProp_NotDefined;
 class HLRBRep_SLPropsATool;
 class gp_Pnt;
 class gp_Vec;
 class gp_Dir;
 
 
 
 class HLRBRep_SLProps 
 {
 public:
 
   DEFINE_STANDARD_ALLOC
 
   
   //! Initializes the local properties of the surface <S>
   //! for the parameter values (<U>, <V>).
   //! The current point and the derivatives are
   //! computed at the same time, which allows an
   //! optimization of the computation time.
   //! <N> indicates the maximum number of derivations to
   //! be done (0, 1, or 2). For example, to compute
   //! only the tangent, N should be equal to 1.
   //! <Resolution> is the linear tolerance (it is used to test
   //! if a vector is null).
   Standard_EXPORT HLRBRep_SLProps(const Standard_Address& S, const Standard_Real U, const Standard_Real V, const Standard_Integer N, const Standard_Real Resolution);
   
   //! idem as previous constructor but without setting the value
   //! of parameters <U> and <V>.
   Standard_EXPORT HLRBRep_SLProps(const Standard_Address& S, const Standard_Integer N, const Standard_Real Resolution);
   
   //! idem as previous constructor but without setting the value
   //! of parameters <U> and <V> and the surface.
   //! the surface can have an empty constructor.
   Standard_EXPORT HLRBRep_SLProps(const Standard_Integer N, const Standard_Real Resolution);
   
   //! Initializes the local properties of the surface S
   //! for the new surface.
   Standard_EXPORT void SetSurface (const Standard_Address& S);
   
   //! Initializes the local properties of the surface S
   //! for the new parameter values (<U>, <V>).
   Standard_EXPORT void SetParameters (const Standard_Real U, const Standard_Real V);
   
   //! Returns the point.
   Standard_EXPORT const gp_Pnt& Value() const;
   
   //! Returns the first U derivative.
   //! The derivative is computed if it has not been yet.
   Standard_EXPORT const gp_Vec& D1U();
   
   //! Returns the first V derivative.
   //! The derivative is computed if it has not been yet.
   Standard_EXPORT const gp_Vec& D1V();
   
   //! Returns the second U derivatives
   //! The derivative is computed if it has not been yet.
   Standard_EXPORT const gp_Vec& D2U();
   
   //! Returns the second V derivative.
   //! The derivative is computed if it has not been yet.
   Standard_EXPORT const gp_Vec& D2V();
   
   //! Returns the second UV cross-derivative.
   //! The derivative is computed if it has not been yet.
   Standard_EXPORT const gp_Vec& DUV();
   
   //! returns True if the U tangent is defined.
   //! For example, the tangent is not defined if the
   //! two first U derivatives are null.
   Standard_EXPORT Standard_Boolean IsTangentUDefined();
   
   //! Returns the tangent direction <D> on the iso-V.
   Standard_EXPORT void TangentU (gp_Dir& D);
   
   //! returns if the V tangent is defined.
   //! For example, the tangent is not defined if the
   //! two first V derivatives are null.
   Standard_EXPORT Standard_Boolean IsTangentVDefined();
   
   //! Returns the tangent direction <D> on the iso-V.
   Standard_EXPORT void TangentV (gp_Dir& D);
   
   //! Tells if the normal is defined.
   Standard_EXPORT Standard_Boolean IsNormalDefined();
   
   //! Returns the normal direction.
   Standard_EXPORT const gp_Dir& Normal();
   
   //! returns True if the curvature is defined.
   Standard_EXPORT Standard_Boolean IsCurvatureDefined();
   
   //! returns True if the point is umbilic (i.e. if the
   //! curvature is constant).
   Standard_EXPORT Standard_Boolean IsUmbilic();
   
   //! Returns the maximum curvature
   Standard_EXPORT Standard_Real MaxCurvature();
   
   //! Returns the minimum curvature
   Standard_EXPORT Standard_Real MinCurvature();
   
   //! Returns the direction of the maximum and minimum curvature
   //! <MaxD> and <MinD>
   Standard_EXPORT void CurvatureDirections (gp_Dir& MaxD, gp_Dir& MinD);
   
   //! Returns the mean curvature.
   Standard_EXPORT Standard_Real MeanCurvature();
   
   //! Returns the Gaussian curvature
   Standard_EXPORT Standard_Real GaussianCurvature();
 
 
 
 
 protected:
 
 
 
 
 
 private:
 
 
 
   Standard_Address mySurf;
   Standard_Real myU;
   Standard_Real myV;
   Standard_Integer myDerOrder;
   Standard_Integer myCN;
   Standard_Real myLinTol;
   gp_Pnt myPnt;
   gp_Vec myD1u;
   gp_Vec myD1v;
   gp_Vec myD2u;
   gp_Vec myD2v;
   gp_Vec myDuv;
   gp_Dir myNormal;
   Standard_Real myMinCurv;
   Standard_Real myMaxCurv;
   gp_Dir myDirMinCurv;
   gp_Dir myDirMaxCurv;
   Standard_Real myMeanCurv;
   Standard_Real myGausCurv;
   Standard_Integer mySignificantFirstDerivativeOrderU;
   Standard_Integer mySignificantFirstDerivativeOrderV;
   LProp_Status myUTangentStatus;
   LProp_Status myVTangentStatus;
   LProp_Status myNormalStatus;
   LProp_Status myCurvatureStatus;
 
 
 };
 
 
 
 
 
 
 
 #endif // _HLRBRep_SLProps_HeaderFile

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