// Created on: 1992-06-30
// 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_Curve_HeaderFile
#define _IntAna_Curve_HeaderFile

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

#include <GeomAbs_SurfaceType.hxx>
#include <gp_Ax3.hxx>
#include <TColStd_ListOfReal.hxx>

//! Definition of a parametric Curve which is the result
//! of the intersection between two quadrics.
class IntAna_Curve 
{
public:

  DEFINE_STANDARD_ALLOC

  
  //! Empty Constructor
  Standard_EXPORT IntAna_Curve();
  
  //! Sets the parameters used to compute Points and Derivative
  //! on the curve.
  Standard_EXPORT void SetCylinderQuadValues (const gp_Cylinder& Cylinder, const Standard_Real Qxx, const Standard_Real Qyy, const Standard_Real Qzz, const Standard_Real Qxy, const Standard_Real Qxz, const Standard_Real Qyz, const Standard_Real Qx, const Standard_Real Qy, const Standard_Real Qz, const Standard_Real Q1, const Standard_Real Tol, const Standard_Real DomInf, const Standard_Real DomSup, const Standard_Boolean TwoZForATheta, const Standard_Boolean ZIsPositive);
  
  //! Sets  the parameters used    to compute Points  and
  //! Derivative on the curve.
  Standard_EXPORT void SetConeQuadValues (const gp_Cone& Cone, const Standard_Real Qxx, const Standard_Real Qyy, const Standard_Real Qzz, const Standard_Real Qxy, const Standard_Real Qxz, const Standard_Real Qyz, const Standard_Real Qx, const Standard_Real Qy, const Standard_Real Qz, const Standard_Real Q1, const Standard_Real Tol, const Standard_Real DomInf, const Standard_Real DomSup, const Standard_Boolean TwoZForATheta, const Standard_Boolean ZIsPositive);
  
  //! Returns TRUE if the curve is not  infinite  at the
  //! last parameter or at the first parameter of the domain.
  Standard_EXPORT Standard_Boolean IsOpen() const;
  
  //! Returns the paramatric domain of the curve.
  Standard_EXPORT void Domain(Standard_Real& theFirst, Standard_Real& theLast) const;
  
  //! Returns TRUE if the function is constant.
  Standard_EXPORT Standard_Boolean IsConstant() const;
  
  //! Returns TRUE if the domain is open at the beginning.
  Standard_EXPORT Standard_Boolean IsFirstOpen() const;
  
  //! Returns TRUE if the domain is open at the end.
  Standard_EXPORT Standard_Boolean IsLastOpen() const;
  
  //! Returns the point at parameter Theta on the curve.
  Standard_EXPORT gp_Pnt Value (const Standard_Real Theta);
  
  //! Returns the point and the first derivative at parameter
  //! Theta on the curve.
  Standard_EXPORT Standard_Boolean D1u (const Standard_Real Theta, gp_Pnt& P, gp_Vec& V);
  
  //! Tries to find the parameter of the point P on the curve.
  //! If the method returns False, the "projection" is
  //! impossible.
  //! If the method returns True at least one parameter has been found.
  //! theParams is always sorted in ascending order.
  Standard_EXPORT void FindParameter(const gp_Pnt& P,
                                     TColStd_ListOfReal& theParams) const;
  
  //! If flag is True, the Curve is not defined at the
  //! first parameter of its domain.
  Standard_EXPORT void SetIsFirstOpen (const Standard_Boolean Flag);
  
  //! If flag is True, the Curve is not defined at the
  //! first parameter of its domain.
  Standard_EXPORT void SetIsLastOpen (const Standard_Boolean Flag);
  
  //! Trims this curve
  Standard_EXPORT void SetDomain(const Standard_Real theFirst, const Standard_Real theLast);




protected:

  
  //! Protected function.
  Standard_EXPORT gp_Pnt InternalValue (const Standard_Real Theta1, const Standard_Real Theta2) const;

  //! Protected function.
  Standard_EXPORT void InternalUVValue (const Standard_Real Param, Standard_Real& U, Standard_Real& V, Standard_Real& A, Standard_Real& B, Standard_Real& C, Standard_Real& Co, Standard_Real& Si, Standard_Real& Di) const;



private:



  Standard_Real Z0Cte;
  Standard_Real Z0Sin;
  Standard_Real Z0Cos;
  Standard_Real Z0SinSin;
  Standard_Real Z0CosCos;
  Standard_Real Z0CosSin;
  Standard_Real Z1Cte;
  Standard_Real Z1Sin;
  Standard_Real Z1Cos;
  Standard_Real Z1SinSin;
  Standard_Real Z1CosCos;
  Standard_Real Z1CosSin;
  Standard_Real Z2Cte;
  Standard_Real Z2Sin;
  Standard_Real Z2Cos;
  Standard_Real Z2SinSin;
  Standard_Real Z2CosCos;
  Standard_Real Z2CosSin;
  Standard_Boolean TwoCurves;
  Standard_Boolean TakeZPositive;
  Standard_Real Tolerance;

  //! Internal fields defining the default domain
  Standard_Real DomainInf, DomainSup;
  Standard_Boolean RestrictedInf;
  Standard_Boolean RestrictedSup;
  Standard_Boolean firstbounded;
  Standard_Boolean lastbounded;
  GeomAbs_SurfaceType typequadric;
  Standard_Real RCyl;
  Standard_Real Angle;
  gp_Ax3 Ax3;

  //! Trim boundaries
  Standard_Real myFirstParameter, myLastParameter;


};







#endif // _IntAna_Curve_HeaderFile