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 // Created on: 1993-03-24
 // Created by: Philippe DAUTRY
 // 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 _Geom2d_Circle_HeaderFile
 #define _Geom2d_Circle_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_Type.hxx>
 
 #include <Geom2d_Conic.hxx>
 class gp_Circ2d;
 class gp_Ax2d;
 class gp_Ax22d;
 class gp_Trsf2d;
 class Geom2d_Geometry;
 
 //! Describes a circle in the plane (2D space).
 //! A circle is defined by its radius and, as with any conic
 //! curve, is positioned in the plane with a coordinate
 //! system (gp_Ax22d object) where the origin is the
 //! center of the circle.
 //! The coordinate system is the local coordinate
 //! system of the circle.
 //! The orientation (direct or indirect) of the local
 //! coordinate system gives an explicit orientation to the
 //! circle, determining the direction in which the
 //! parameter increases along the circle.
 //! The Geom2d_Circle circle is parameterized by an angle:
 //! P(U) = O + R*std::cos(U)*XDir + R*Sin(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,
 //! - R is the radius of the circle.
 //! The "X Axis" of the local coordinate system therefore
 //! defines the origin of the parameter of the circle. The
 //! parameter is the angle with this "X Direction".
 //! A circle is a closed and periodic curve. The period is
 //! 2.*Pi and the parameter range is [ 0,2.*Pi [.
 //! See Also
 //! GCE2d_MakeCircle which provides functions for
 //! more complex circle constructions
 //! gp_Ax22d and gp_Circ2d for an equivalent, non-parameterized data structure.
 class Geom2d_Circle : public Geom2d_Conic
 {
 
 public:
   //! Constructs a circle by conversion of the gp_Circ2d circle C.
   Standard_EXPORT Geom2d_Circle(const gp_Circ2d& C);
 
   //! Constructs a circle of radius Radius, whose center is the origin of axis
   //! A; A is the "X Axis" of the local coordinate system
   //! of the circle; this coordinate system is direct if
   //! Sense is true (default value) or indirect if Sense is false.
   //! Note: It is possible to create a circle where Radius is equal to 0.0.
   //! Exceptions Standard_ConstructionError if Radius is negative.
   Standard_EXPORT Geom2d_Circle(const gp_Ax2d& A, const double Radius, const bool Sense = true);
 
   //! Constructs a circle
   //! of radius Radius, where the coordinate system A
   //! locates the circle and defines its orientation in the plane such that:
   //! - the center of the circle is the origin of A,
   //! - the orientation (direct or indirect) of A gives the
   //! orientation of the circle.
   Standard_EXPORT Geom2d_Circle(const gp_Ax22d& A, const double Radius);
 
   //! Converts the gp_Circ2d circle C into this circle.
   Standard_EXPORT void SetCirc2d(const gp_Circ2d& C);
 
   Standard_EXPORT void SetRadius(const double R);
 
   //! Returns the non persistent circle from gp with the same
   //! geometric properties as <me>.
   Standard_EXPORT gp_Circ2d Circ2d() const;
 
   //! Returns the radius of this circle.
   Standard_EXPORT double Radius() const;
 
   //! Computes the parameter on the reversed circle for
   //! the point of parameter U on this circle.
   //! For a circle, the returned value is: 2.*Pi - U.
   Standard_EXPORT double ReversedParameter(const double U) const final;
 
   //! Returns 0., which is the eccentricity of any circle.
   Standard_EXPORT double Eccentricity() const final;
 
   //! Returns 0.0
   Standard_EXPORT double FirstParameter() const final;
 
   //! Returns 2*PI.
   Standard_EXPORT double LastParameter() const final;
 
   //! returns True.
   Standard_EXPORT bool IsClosed() const final;
 
   //! returns True. The period of a circle is 2.*Pi.
   Standard_EXPORT bool IsPeriodic() const final;
 
   //! Returns in P the point of parameter U.
   //! P = C + R * Cos (U) * XDir + R * Sin (U) * YDir
   //! where C is the center of the circle , XDir the XDirection and
   //! YDir the YDirection of the circle's local coordinate system.
   Standard_EXPORT gp_Pnt2d EvalD0(const double U) const final;
 
   //! Returns the point P of parameter U and the first derivative V1.
   Standard_EXPORT Geom2d_Curve::ResD1 EvalD1(const double U) const final;
 
   //! Returns the point P of parameter U, the first and second
   //! derivatives V1 and V2.
   Standard_EXPORT Geom2d_Curve::ResD2 EvalD2(const double U) const final;
 
   //! Returns the point P of parameter u, the first second and third
   //! derivatives V1 V2 and V3.
   Standard_EXPORT Geom2d_Curve::ResD3 EvalD3(const double U) const final;
 
   //! For the point of parameter U of this circle, computes
   //! the vector corresponding to the Nth derivative.
   //! Exceptions: Standard_RangeError if N is less than 1.
   Standard_EXPORT gp_Vec2d EvalDN(const double U, const int N) const final;
 
   //! Applies the transformation T to this circle.
   Standard_EXPORT void Transform(const gp_Trsf2d& T) final;
 
   //! Creates a new object which is a copy of this circle.
   Standard_EXPORT occ::handle<Geom2d_Geometry> Copy() const final;
 
   //! Dumps the content of me into the stream
   Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const final;
 
   DEFINE_STANDARD_RTTIEXT(Geom2d_Circle, Geom2d_Conic)
 
 private:
   double radius;
 };
 
 #endif // _Geom2d_Circle_HeaderFile

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