// This file is generated by WOK (CPPExt).
// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to 
// this header file considered to be the "object code" form of the original source.

#ifndef _Geom2d_Parabola_HeaderFile
#define _Geom2d_Parabola_HeaderFile

#include <Standard.hxx>
#include <Standard_DefineHandle.hxx>
#include <Handle_Geom2d_Parabola.hxx>

#include <Standard_Real.hxx>
#include <Geom2d_Conic.hxx>
#include <Standard_Boolean.hxx>
#include <Standard_Integer.hxx>
#include <Handle_Geom2d_Geometry.hxx>
class Standard_ConstructionError;
class Standard_RangeError;
class gp_Parab2d;
class gp_Ax2d;
class gp_Ax22d;
class gp_Pnt2d;
class gp_Vec2d;
class gp_Trsf2d;
class Geom2d_Geometry;


//! Describes a parabola in the plane (2D space).
//! A parabola is defined by its focal length (i.e. the
//! distance between its focus and its apex) and is
//! positioned in the plane with a coordinate system
//! (gp_Ax22d object) where:
//! - the origin is the apex of the parabola, and
//! - the "X Axis" defines the axis of symmetry; the
//! parabola is on the positive side of this axis.
//! This coordinate system is the local coordinate
//! system of the parabola.
//! The orientation (direct or indirect) of the local
//! coordinate system gives an explicit orientation to the
//! parabola, determining the direction in which the
//! parameter increases along the parabola.
//! The Geom_Parabola parabola is parameterized as follows:
//! P(U) = O + U*U/(4.*F)*XDir + U*YDir, where:
//! - P is the point of parameter U,
//! - O, XDir and YDir are respectively the origin, "X
//! Direction" and "Y Direction" of its local coordinate system,
//! - F is the focal length of the parabola.
//! The parameter of the parabola is therefore its Y
//! coordinate in the local coordinate system, with the "X
//! Axis" of the local coordinate system defining the
//! origin of the parameter.
//! The parameter range is ] -infinite,+infinite [.
class Geom2d_Parabola : public Geom2d_Conic
{

public:

  
  //! Creates a parabola from a non persistent one.
  Standard_EXPORT Geom2d_Parabola(const gp_Parab2d& Prb);
  

  //! Creates a parabola with its "MirrorAxis" and it's focal
  //! length "Focal".
  //! MirrorAxis is the axis of symmetry of the curve, it is the
  //! "XAxis". The "YAxis" is parallel to the directrix of the
  //! parabola and is in the direct sense if Sense is True.
  //! The "Location" point of "MirrorAxis" is the vertex of the parabola
  //! Raised if Focal < 0.0
  Standard_EXPORT Geom2d_Parabola(const gp_Ax2d& MirrorAxis, const Standard_Real Focal, const Standard_Boolean Sense = Standard_True);
  

  //! Creates a parabola with its Axis and it's focal
  //! length "Focal".
  //! The XDirection of Axis is the axis of symmetry of the curve,
  //! it is the "XAxis". The "YAxis" is parallel to the directrix of the
  //! parabola. The "Location" point of "Axis" is the vertex
  //! of the parabola.
  //! Raised if Focal < 0.0
  Standard_EXPORT Geom2d_Parabola(const gp_Ax22d& Axis, const Standard_Real Focal);
  

  //! D is the directrix of the parabola and F the focus point.
  //! The symmetry axis "XAxis" of the parabola is normal to the
  //! directrix and pass through the focus point F, but its
  //! "Location" point is the vertex of the parabola.
  //! The "YAxis" of the parabola is parallel to D and its "Location"
  //! point is the vertex of the parabola.
  Standard_EXPORT Geom2d_Parabola(const gp_Ax2d& D, const gp_Pnt2d& F);
  
  //! Assigns the value Focal to the focal length of this parabola.
  //! Exceptions Standard_ConstructionError if Focal is negative.
  Standard_EXPORT   void SetFocal (const Standard_Real Focal) ;
  
  //! Converts the gp_Parab2d parabola Prb into this parabola.
  Standard_EXPORT   void SetParab2d (const gp_Parab2d& Prb) ;
  

  //! Returns the non persistent parabola from gp with the same
  //! geometric properties as <me>.
  Standard_EXPORT   gp_Parab2d Parab2d()  const;
  
  //! Computes the parameter on the reversed parabola
  //! for the point of parameter U on this parabola.
  //! For a parabola, the returned value is -U.
  Standard_EXPORT   Standard_Real ReversedParameter (const Standard_Real U)  const;
  
  //! Returns RealFirst from Standard.
  Standard_EXPORT   Standard_Real FirstParameter()  const;
  
  //! Returns  RealLast from Standard.
  Standard_EXPORT   Standard_Real LastParameter()  const;
  
  //! Returns False
  Standard_EXPORT   Standard_Boolean IsClosed()  const;
  
  //! Returns False
  Standard_EXPORT   Standard_Boolean IsPeriodic()  const;
  
  //! The directrix is parallel to the "YAxis" of the parabola.
  //! The "Location" point of the directrix is the intersection
  //! point between the directrix and the symmetry axis ("XAxis") of the parabola.
  Standard_EXPORT   gp_Ax2d Directrix()  const;
  
  //! Returns the eccentricity e = 1.0
  Standard_EXPORT   Standard_Real Eccentricity()  const;
  
  //! Computes the focus of this parabola The focus is on the
  //! positive side of the "X Axis" of the local coordinate system of the parabola.
  Standard_EXPORT   gp_Pnt2d Focus()  const;
  
  //! Computes the focal length of this parabola.
  //! The focal length is the distance between the apex and the focus of the parabola.
  Standard_EXPORT   Standard_Real Focal()  const;
  
  //! Computes the parameter of this parabola, which is
  //! the distance between its focus and its directrix. This
  //! distance is twice the focal length.
  //! If P is the parameter of the parabola, the equation of
  //! the parabola in its local coordinate system is: Y**2 = 2.*P*X.
  Standard_EXPORT   Standard_Real Parameter()  const;
  
  //! Returns in P the point of parameter U.
  //! If U = 0 the returned point is the origin of the XAxis and
  //! the YAxis of the parabola and it is the vertex of the parabola.
  //! P = S + F * (U * U * XDir +  * U * YDir)
  //! where S is the vertex of the parabola, XDir the XDirection and
  //! YDir the YDirection of the parabola's local coordinate system.
  Standard_EXPORT   void D0 (const Standard_Real U, gp_Pnt2d& P)  const;
  

  //! Returns the point P of parameter U and the first derivative V1.
  Standard_EXPORT   void D1 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1)  const;
  

  //! Returns the point P of parameter U, the first and second
  //! derivatives V1 and V2.
  Standard_EXPORT   void D2 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2)  const;
  

  //! Returns the point P of parameter U, the first second and third
  //! derivatives V1 V2 and V3.
  Standard_EXPORT   void D3 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3)  const;
  
  //! For the point of parameter U of this parabola,
  //! computes the vector corresponding to the Nth derivative.
  //! Exceptions Standard_RangeError if N is less than 1.
  Standard_EXPORT   gp_Vec2d DN (const Standard_Real U, const Standard_Integer N)  const;
  
  //! Applies the transformation T to this parabola.
  Standard_EXPORT   void Transform (const gp_Trsf2d& T) ;
  
  //! Computes the parameter on the transformed
  //! parabola, for the point of parameter U on this parabola.
  //! For a parabola, the returned value is equal to U
  //! multiplied by the scale factor of transformation T.
  Standard_EXPORT   Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf2d& T)  const;
  
  //! Returns a  coefficient to compute the parameter on
  //! the transformed  curve  for  the transform  of the
  //! point on <me>.
  //!
  //! Transformed(T)->Value(U * ParametricTransformation(T))
  //!
  //! is the same point as
  //!
  //! Value(U).Transformed(T)
  //!
  //! This methods returns T.ScaleFactor()
  Standard_EXPORT   Standard_Real ParametricTransformation (const gp_Trsf2d& T)  const;
  
  //! Creates a new object, which is a copy of this parabola.
  Standard_EXPORT   Handle(Geom2d_Geometry) Copy()  const;




  DEFINE_STANDARD_RTTI(Geom2d_Parabola)

protected:




private: 


  Standard_Real focalLength;


};







#endif // _Geom2d_Parabola_HeaderFile
