// Created on: 1993-01-09
// Created by: CKY / Contract Toubro-Larsen (Kiran)
// Copyright (c) 1993-1999 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 _IGESGeom_ConicArc_HeaderFile
#define _IGESGeom_ConicArc_HeaderFile

#include "Standard.hxx"
#include "Standard_Type.hxx"

#include "gp_XY.hxx"
#include "IGESData_IGESEntity.hxx"
#include "Standard_Integer.hxx"
class gp_Pnt2d;
class gp_Pnt;
class gp_Dir;

//! defines IGESConicArc, Type <104> Form <0-3> in package IGESGeom
//! A conic arc is a bounded connected portion of a parent
//! conic curve which consists of more than one point. The
//! parent conic curve is either an ellipse, a parabola, or
//! a hyperbola. The definition space coordinate system is
//! always chosen so that the conic arc lies in a plane either
//! coincident with or parallel to XT, YT plane. Within such
//! a plane a conic is defined by the six coefficients in the
//! following equation.
//! A*XT^2 + B*XT*YT + C*YT^2 + D*XT + E*YT + F = 0
class IGESGeom_ConicArc : public IGESData_IGESEntity
{

public:
  Standard_EXPORT IGESGeom_ConicArc();

  //! This method is used to set the fields of the class
  //! ConicalArc
  //! - A, B, C, D, E, F : Coefficients of the equation
  //! defining conic arc
  //! - ZT               : Parallel ZT displacement of the arc
  //! from XT, YT plane.
  //! - aStart           : Starting point of the conic arc
  //! - anEnd            : End point of the conic arc
  Standard_EXPORT void Init(const double A,
                            const double B,
                            const double C,
                            const double D,
                            const double E,
                            const double F,
                            const double ZT,
                            const gp_XY& aStart,
                            const gp_XY& anEnd);

  //! sets the Form Number equal to ComputedFormNumber,
  //! returns True if changed
  Standard_EXPORT bool OwnCorrect();

  //! Computes the Form Number according to the equation
  //! 1 for Ellipse, 2 for Hyperbola, 3 for Parabola
  Standard_EXPORT int ComputedFormNumber() const;

  Standard_EXPORT void Equation(double& A, double& B, double& C, double& D, double& E, double& F)
    const;

  //! returns the Z displacement of the arc from XT, YT plane
  Standard_EXPORT double ZPlane() const;

  //! returns the starting point of the arc
  Standard_EXPORT gp_Pnt2d StartPoint() const;

  //! returns the starting point of the arc after applying
  //! Transf. Matrix
  Standard_EXPORT gp_Pnt TransformedStartPoint() const;

  //! returns the end point of the arc
  Standard_EXPORT gp_Pnt2d EndPoint() const;

  //! returns the end point of the arc after applying
  //! Transf. Matrix
  Standard_EXPORT gp_Pnt TransformedEndPoint() const;

  //! returns True if parent conic curve is an ellipse
  Standard_EXPORT bool IsFromEllipse() const;

  //! returns True if parent conic curve is a parabola
  Standard_EXPORT bool IsFromParabola() const;

  //! returns True if parent conic curve is a hyperbola
  Standard_EXPORT bool IsFromHyperbola() const;

  //! returns True if StartPoint = EndPoint
  Standard_EXPORT bool IsClosed() const;

  //! Z-Axis of conic (i.e. [0,0,1])
  Standard_EXPORT gp_Dir Axis() const;

  //! Z-Axis after applying Trans. Matrix
  Standard_EXPORT gp_Dir TransformedAxis() const;

  //! Returns a Definition computed from equation, easier to use
  //! <Center> : the center of the conic (meaningless for
  //! a parabola) (defined with Z displacement)
  //! <MainAxis> : the Main Axis of the conic (for a Circle,
  //! arbitrary the X Axis)
  //! <Rmin,Rmax> : Minor and Major Radii of the conic
  //! For a Circle, Rmin = Rmax,
  //! For a Parabola, Rmin = Rmax = the Focal
  //! Warning : the basic definition (by equation) is not very stable,
  //! limit cases may be approximative
  Standard_EXPORT void Definition(gp_Pnt& Center,
                                  gp_Dir& MainAxis,
                                  double& rmin,
                                  double& rmax) const;

  //! Same as Definition, but the Location is applied on the
  //! Center and the MainAxis
  Standard_EXPORT void TransformedDefinition(gp_Pnt& Center,
                                             gp_Dir& MainAxis,
                                             double& rmin,
                                             double& rmax) const;

  //! Computes and returns the coordinates of the definition of
  //! a comic from its equation. Used by Definition &
  //! TransformedDefinition, or may be called directly if needed
  Standard_EXPORT void ComputedDefinition(double& Xcen,
                                          double& Ycen,
                                          double& Xax,
                                          double& Yax,
                                          double& Rmin,
                                          double& Rmax) const;

  DEFINE_STANDARD_RTTIEXT(IGESGeom_ConicArc, IGESData_IGESEntity)

private:
  double theA;
  double theB;
  double theC;
  double theD;
  double theE;
  double theF;
  double theZT;
  gp_XY  theStart;
  gp_XY  theEnd;
};

#endif // _IGESGeom_ConicArc_HeaderFile