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File indexing completed on 2026-10-24 09:13:44
0001 // Created on: 1993-03-24 0002 // Created by: JCV 0003 // Copyright (c) 1993-1999 Matra Datavision 0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS 0005 // 0006 // This file is part of Open CASCADE Technology software library. 0007 // 0008 // This library is free software; you can redistribute it and/or modify it under 0009 // the terms of the GNU Lesser General Public License version 2.1 as published 0010 // by the Free Software Foundation, with special exception defined in the file 0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT 0012 // distribution for complete text of the license and disclaimer of any warranty. 0013 // 0014 // Alternatively, this file may be used under the terms of Open CASCADE 0015 // commercial license or contractual agreement. 0016 0017 #ifndef _Geom2d_Conic_HeaderFile 0018 #define _Geom2d_Conic_HeaderFile 0019 0020 #include <gp_Ax22d.hxx> 0021 #include <Geom2d_Curve.hxx> 0022 0023 //! The abstract class Conic describes the common 0024 //! behavior of conic curves in 2D space and, in 0025 //! particular, their general characteristics. The Geom2d 0026 //! package provides four specific classes of conics: 0027 //! Geom2d_Circle, Geom2d_Ellipse, 0028 //! Geom2d_Hyperbola and Geom2d_Parabola. 0029 //! A conic is positioned in the plane with a coordinate 0030 //! system (gp_Ax22d object), where the origin is the 0031 //! center of the conic (or the apex in case of a parabola). 0032 //! This coordinate system is the local coordinate 0033 //! system of the conic. It gives the conic an explicit 0034 //! orientation, determining the direction in which the 0035 //! parameter increases along the conic. The "X Axis" of 0036 //! the local coordinate system also defines the origin of 0037 //! the parameter of the conic. 0038 class Geom2d_Conic : public Geom2d_Curve 0039 { 0040 public: 0041 //! Modifies this conic, redefining its local coordinate system 0042 //! partially, by assigning theA as its axis 0043 void SetAxis(const gp_Ax22d& theA) { pos.SetAxis(theA); } 0044 0045 //! Assigns the origin and unit vector of axis theA to the 0046 //! origin of the local coordinate system of this conic and X Direction. 0047 //! The other unit vector of the local coordinate system 0048 //! of this conic is recomputed normal to theA, without 0049 //! changing the orientation of the local coordinate 0050 //! system (right-handed or left-handed). 0051 void SetXAxis(const gp_Ax2d& theAX) { pos.SetXAxis(theAX); } 0052 0053 //! Assigns the origin and unit vector of axis theA to the 0054 //! origin of the local coordinate system of this conic and Y Direction. 0055 //! The other unit vector of the local coordinate system 0056 //! of this conic is recomputed normal to theA, without 0057 //! changing the orientation of the local coordinate 0058 //! system (right-handed or left-handed). 0059 void SetYAxis(const gp_Ax2d& theAY) { pos.SetYAxis(theAY); } 0060 0061 //! Modifies this conic, redefining its local coordinate 0062 //! system partially, by assigning theP as its origin. 0063 void SetLocation(const gp_Pnt2d& theP) { pos.SetLocation(theP); } 0064 0065 //! Returns the "XAxis" of the conic. 0066 //! This axis defines the origin of parametrization of the conic. 0067 //! This axis and the "Yaxis" define the local coordinate system 0068 //! of the conic. 0069 //! -C++: return const& 0070 Standard_EXPORT gp_Ax2d XAxis() const; 0071 0072 //! Returns the "YAxis" of the conic. 0073 //! The "YAxis" is perpendicular to the "Xaxis". 0074 Standard_EXPORT gp_Ax2d YAxis() const; 0075 0076 //! returns the eccentricity value of the conic e. 0077 //! e = 0 for a circle 0078 //! 0 < e < 1 for an ellipse (e = 0 if MajorRadius = MinorRadius) 0079 //! e > 1 for a hyperbola 0080 //! e = 1 for a parabola 0081 Standard_EXPORT virtual double Eccentricity() const = 0; 0082 0083 //! Returns the location point of the conic. 0084 //! For the circle, the ellipse and the hyperbola it is the center of 0085 //! the conic. For the parabola it is the vertex of the parabola. 0086 const gp_Pnt2d& Location() const { return pos.Location(); } 0087 0088 //! Returns the local coordinates system of the conic. 0089 const gp_Ax22d& Position() const { return pos; } 0090 0091 //! Reverses the direction of parameterization of <me>. 0092 //! The local coordinate system of the conic is modified. 0093 Standard_EXPORT void Reverse() override; 0094 0095 //! Returns the parameter on the reversed curve for 0096 //! the point of parameter U on <me>. 0097 Standard_EXPORT double ReversedParameter(const double U) const override = 0; 0098 0099 //! Returns GeomAbs_CN which is the global continuity of any conic. 0100 Standard_EXPORT GeomAbs_Shape Continuity() const override; 0101 0102 //! Returns True, the order of continuity of a conic is infinite. 0103 Standard_EXPORT bool IsCN(const int N) const override; 0104 0105 //! Dumps the content of me into the stream 0106 Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const override; 0107 0108 DEFINE_STANDARD_RTTIEXT(Geom2d_Conic, Geom2d_Curve) 0109 0110 protected: 0111 gp_Ax22d pos; 0112 }; 0113 0114 #endif // _Geom2d_Conic_HeaderFile
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