OCCT

// Created on: 1994-02-24
// Created by: Laurent BOURESCHE
// Copyright (c) 1994-1999 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 _BRepLProp_SLProps_HeaderFile
#define _BRepLProp_SLProps_HeaderFile

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

#include <BRepAdaptor_Surface.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 BRepAdaptor_Surface;
class BRepLProp_SurfaceTool;
class gp_Pnt;
class gp_Vec;
class gp_Dir;



class BRepLProp_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 BRepLProp_SLProps(const BRepAdaptor_Surface& 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 BRepLProp_SLProps(const BRepAdaptor_Surface& 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 BRepLProp_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 BRepAdaptor_Surface& 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:



  BRepAdaptor_Surface 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 // _BRepLProp_SLProps_HeaderFile