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0001 // Created on: 1993-03-10
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 _Geom_Circle_HeaderFile
0018 #define _Geom_Circle_HeaderFile
0019 
0020 #include <Standard.hxx>
0021 #include <Standard_Type.hxx>
0022 
0023 #include <Geom_Conic.hxx>
0024 #include <Standard_Integer.hxx>
0025 class gp_Circ;
0026 class gp_Ax2;
0027 class gp_Pnt;
0028 class gp_Vec;
0029 class gp_Trsf;
0030 class Geom_Geometry;
0031 
0032 
0033 class Geom_Circle;
0034 DEFINE_STANDARD_HANDLE(Geom_Circle, Geom_Conic)
0035 
0036 //! Describes a circle in 3D space.
0037 //! A circle is defined by its radius and, as with any conic
0038 //! curve, is positioned in space with a right-handed
0039 //! coordinate system (gp_Ax2 object) where:
0040 //! - the origin is the center of the circle, and
0041 //! - the origin, "X Direction" and "Y Direction" define the
0042 //! plane of the circle.
0043 //! This coordinate system is the local coordinate
0044 //! system of the circle.
0045 //! The "main Direction" of this coordinate system is the
0046 //! vector normal to the plane of the circle. The axis, of
0047 //! which the origin and unit vector are respectively the
0048 //! origin and "main Direction" of the local coordinate
0049 //! system, is termed the "Axis" or "main Axis" of the circle.
0050 //! The "main Direction" of the local coordinate system
0051 //! gives an explicit orientation to the circle (definition of
0052 //! the trigonometric sense), determining the direction in
0053 //! which the parameter increases along the circle.
0054 //! The Geom_Circle circle is parameterized by an angle:
0055 //! P(U) = O + R*Cos(U)*XDir + R*Sin(U)*YDir, where:
0056 //! - P is the point of parameter U,
0057 //! - O, XDir and YDir are respectively the origin, "X
0058 //! Direction" and "Y Direction" of its local coordinate system,
0059 //! - R is the radius of the circle.
0060 //! The "X Axis" of the local coordinate system therefore
0061 //! defines the origin of the parameter of the circle. The
0062 //! parameter is the angle with this "X Direction".
0063 //! A circle is a closed and periodic curve. The period is
0064 //! 2.*Pi and the parameter range is [ 0, 2.*Pi [.
0065 class Geom_Circle : public Geom_Conic
0066 {
0067 
0068 public:
0069 
0070   
0071   //! Constructs a circle by conversion of the gp_Circ circle C.
0072   Standard_EXPORT Geom_Circle(const gp_Circ& C);
0073   
0074   //! Constructs a circle of radius Radius, where A2 locates the circle and
0075   //! defines its orientation in 3D space such that:
0076   //! - the center of the circle is the origin of A2,
0077   //! - the origin, "X Direction" and "Y Direction" of A2
0078   //! define the plane of the circle,
0079   //! - A2 is the local coordinate system of the circle.
0080   //! Note: It is possible to create a circle where Radius is equal to 0.0.
0081   //! raised if Radius < 0.
0082   Standard_EXPORT Geom_Circle(const gp_Ax2& A2, const Standard_Real Radius);
0083   
0084 
0085   //! Set <me> so that <me> has the same geometric properties as C.
0086   Standard_EXPORT void SetCirc (const gp_Circ& C);
0087   
0088   //! Assigns the value R to the radius of this circle.
0089   //! Note: it is possible to have a circle with a radius equal to 0.0.
0090   //! Exceptions - Standard_ConstructionError if R is negative.
0091   Standard_EXPORT void SetRadius (const Standard_Real R);
0092   
0093 
0094   //! returns the non transient circle from gp with the same
0095   //! geometric properties as <me>.
0096   Standard_EXPORT gp_Circ Circ() const;
0097   
0098   //! Returns the radius of this circle.
0099   Standard_EXPORT Standard_Real Radius() const;
0100   
0101   //! Computes the parameter on the reversed circle for
0102   //! the point of parameter U on this circle.
0103   //! For a circle, the returned value is: 2.*Pi - U.
0104   Standard_EXPORT Standard_Real ReversedParameter (const Standard_Real U) const Standard_OVERRIDE;
0105   
0106   //! Returns the eccentricity  e = 0 for a circle.
0107   Standard_EXPORT Standard_Real Eccentricity() const Standard_OVERRIDE;
0108   
0109   //! Returns the value of the first parameter of this
0110   //! circle. This is  0.0, which gives the start point of this circle, or
0111   //! The start point and end point of a circle are coincident.
0112   Standard_EXPORT Standard_Real FirstParameter() const Standard_OVERRIDE;
0113   
0114   //! Returns the value of the last parameter of this
0115   //! circle. This is 2.*Pi, which gives the end point of this circle.
0116   //! The start point and end point of a circle are coincident.
0117   Standard_EXPORT Standard_Real LastParameter() const Standard_OVERRIDE;
0118   
0119   //! returns True.
0120   Standard_EXPORT Standard_Boolean IsClosed() const Standard_OVERRIDE;
0121   
0122   //! returns True.
0123   Standard_EXPORT Standard_Boolean IsPeriodic() const Standard_OVERRIDE;
0124   
0125   //! Returns in P the point of parameter U.
0126   //! P = C + R * Cos (U) * XDir + R * Sin (U) * YDir
0127   //! where C is the center of the circle , XDir the XDirection and
0128   //! YDir the YDirection of the circle's local coordinate system.
0129   Standard_EXPORT void D0 (const Standard_Real U, gp_Pnt& P) const Standard_OVERRIDE;
0130   
0131 
0132   //! Returns the point P of parameter U and the first derivative V1.
0133   Standard_EXPORT void D1 (const Standard_Real U, gp_Pnt& P, gp_Vec& V1) const Standard_OVERRIDE;
0134   
0135 
0136   //! Returns the point P of parameter U, the first and second
0137   //! derivatives V1 and V2.
0138   Standard_EXPORT void D2 (const Standard_Real U, gp_Pnt& P, gp_Vec& V1, gp_Vec& V2) const Standard_OVERRIDE;
0139   
0140 
0141   //! Returns the point P of parameter u, the first second and third
0142   //! derivatives V1 V2 and V3.
0143   Standard_EXPORT void D3 (const Standard_Real U, gp_Pnt& P, gp_Vec& V1, gp_Vec& V2, gp_Vec& V3) const Standard_OVERRIDE;
0144   
0145 
0146   //! The returned vector gives the value of the derivative for the
0147   //! order of derivation N.
0148   //! Raised if N < 1.
0149   Standard_EXPORT gp_Vec DN (const Standard_Real U, const Standard_Integer N) const Standard_OVERRIDE;
0150   
0151   //! Applies the transformation T to this circle.
0152   Standard_EXPORT void Transform (const gp_Trsf& T) Standard_OVERRIDE;
0153   
0154   //! Creates a new object which is a copy of this circle.
0155   Standard_EXPORT Handle(Geom_Geometry) Copy() const Standard_OVERRIDE;
0156 
0157   //! Dumps the content of me into the stream
0158   Standard_EXPORT virtual void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const Standard_OVERRIDE;
0159 
0160 
0161 
0162 
0163   DEFINE_STANDARD_RTTIEXT(Geom_Circle,Geom_Conic)
0164 
0165 protected:
0166 
0167 
0168 
0169 
0170 private:
0171 
0172 
0173   Standard_Real radius;
0174 
0175 
0176 };
0177 
0178 
0179 
0180 
0181 
0182 
0183 
0184 #endif // _Geom_Circle_HeaderFile