// Created on: 1992-07-01
// Created by: Laurent BUCHARD
// 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 _IntAna_Quadric_HeaderFile
#define _IntAna_Quadric_HeaderFile

#include <NCollection_List.hxx>
#include <Standard_DefineAlloc.hxx>

class gp_Cone;
class gp_Cylinder;
class gp_Pln;
class gp_Sphere;

//! This class provides a description of Quadrics by their
//! Coefficients in natural coordinate system.
class IntAna_Quadric
{
public:
  DEFINE_STANDARD_ALLOC

  //! Empty Constructor
  Standard_EXPORT IntAna_Quadric();

  //! Creates a Quadric from a Pln
  Standard_EXPORT IntAna_Quadric(const gp_Pln& P);

  //! Creates a Quadric from a Sphere
  Standard_EXPORT IntAna_Quadric(const gp_Sphere& Sph);

  //! Creates a Quadric from a Cylinder
  Standard_EXPORT IntAna_Quadric(const gp_Cylinder& Cyl);

  //! Creates a Quadric from a Cone
  Standard_EXPORT IntAna_Quadric(const gp_Cone& Cone);

  //! Initializes the quadric with a Pln
  Standard_EXPORT void SetQuadric(const gp_Pln& P);

  //! Initialize the quadric with a Sphere
  Standard_EXPORT void SetQuadric(const gp_Sphere& Sph);

  //! Initializes the quadric with a Cone
  Standard_EXPORT void SetQuadric(const gp_Cone& Con);

  //! Initializes the quadric with a Cylinder
  Standard_EXPORT void SetQuadric(const gp_Cylinder& Cyl);

  //! Returns the coefficients of the polynomial equation
  //! which define the quadric:
  //! xCXX x**2 + xCYY y**2 + xCZZ z**2
  //! + 2 ( xCXY x y  + xCXZ x z  + xCYZ y z  )
  //! + 2 ( xCX x + xCY y + xCZ z )
  //! + xCCte
  Standard_EXPORT void Coefficients(double& xCXX,
                                    double& xCYY,
                                    double& xCZZ,
                                    double& xCXY,
                                    double& xCXZ,
                                    double& xCYZ,
                                    double& xCX,
                                    double& xCY,
                                    double& xCZ,
                                    double& xCCte) const;

  //! Returns the coefficients of the polynomial equation
  //! ( written in the natural coordinates system )
  //! in the local coordinates system defined by Axis
  Standard_EXPORT void NewCoefficients(double&       xCXX,
                                       double&       xCYY,
                                       double&       xCZZ,
                                       double&       xCXY,
                                       double&       xCXZ,
                                       double&       xCYZ,
                                       double&       xCX,
                                       double&       xCY,
                                       double&       xCZ,
                                       double&       xCCte,
                                       const gp_Ax3& Axis) const;

  //! Returns the list of special points (with singularities)
  const NCollection_List<gp_Pnt>& SpecialPoints() const { return mySpecialPoints; }

private:
  double                   CXX;
  double                   CYY;
  double                   CZZ;
  double                   CXY;
  double                   CXZ;
  double                   CYZ;
  double                   CX;
  double                   CY;
  double                   CZ;
  double                   CCte;
  NCollection_List<gp_Pnt> mySpecialPoints;
};

#endif // _IntAna_Quadric_HeaderFile
