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0001 // Created on: 1995-07-17
0002 // Created by: Laurent BUCHARD
0003 // Copyright (c) 1995-1999 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 _IntPatch_HCurve2dTool_HeaderFile
0018 #define _IntPatch_HCurve2dTool_HeaderFile
0019 
0020 #include <Adaptor2d_Curve2d.hxx>
0021 #include <Standard.hxx>
0022 #include <Standard_DefineAlloc.hxx>
0023 #include <Standard_Handle.hxx>
0024 
0025 #include <Standard_Real.hxx>
0026 #include <Standard_Integer.hxx>
0027 #include <TColStd_Array1OfReal.hxx>
0028 #include <Standard_Boolean.hxx>
0029 class gp_Pnt2d;
0030 class gp_Vec2d;
0031 class Geom2d_BezierCurve;
0032 class Geom2d_BSplineCurve;
0033 
0034 
0035 
0036 class IntPatch_HCurve2dTool 
0037 {
0038 public:
0039 
0040   DEFINE_STANDARD_ALLOC
0041 
0042   
0043     static Standard_Real FirstParameter (const Handle(Adaptor2d_Curve2d)& C);
0044   
0045     static Standard_Real LastParameter (const Handle(Adaptor2d_Curve2d)& C);
0046   
0047     static GeomAbs_Shape Continuity (const Handle(Adaptor2d_Curve2d)& C);
0048   
0049   //! Returns  the number  of  intervals for  continuity
0050   //! <S>. May be one if Continuity(myclass) >= <S>
0051     static Standard_Integer NbIntervals (const Handle(Adaptor2d_Curve2d)& C, const GeomAbs_Shape S);
0052   
0053   //! Stores in <T> the  parameters bounding the intervals
0054   //! of continuity <S>.
0055   //!
0056   //! The array must provide  enough room to  accommodate
0057   //! for the parameters. i.e. T.Length() > NbIntervals()
0058     static void Intervals (const Handle(Adaptor2d_Curve2d)& C, TColStd_Array1OfReal& T, const GeomAbs_Shape S);
0059   
0060     static Standard_Boolean IsClosed (const Handle(Adaptor2d_Curve2d)& C);
0061   
0062     static Standard_Boolean IsPeriodic (const Handle(Adaptor2d_Curve2d)& C);
0063   
0064     static Standard_Real Period (const Handle(Adaptor2d_Curve2d)& C);
0065   
0066   //! Computes the point of parameter U on the curve.
0067     static gp_Pnt2d Value (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U);
0068   
0069   //! Computes the point of parameter U on the curve.
0070     static void D0 (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U, gp_Pnt2d& P);
0071   
0072   //! Computes the point of parameter U on the curve with its
0073   //! first derivative.
0074   //! Raised if the continuity of the current interval
0075   //! is not C1.
0076     static void D1 (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V);
0077   
0078 
0079   //! Returns the point P of parameter U, the first and second
0080   //! derivatives V1 and V2.
0081   //! Raised if the continuity of the current interval
0082   //! is not C2.
0083     static void D2 (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2);
0084   
0085 
0086   //! Returns the point P of parameter U, the first, the second
0087   //! and the third derivative.
0088   //! Raised if the continuity of the current interval
0089   //! is not C3.
0090     static void D3 (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3);
0091   
0092 
0093   //! The returned vector gives the value of the derivative for the
0094   //! order of derivation N.
0095   //! Raised if the continuity of the current interval
0096   //! is not CN.
0097   //! Raised if N < 1.
0098     static gp_Vec2d DN (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U, const Standard_Integer N);
0099   
0100   //! Returns the parametric  resolution corresponding
0101   //! to the real space resolution <R3d>.
0102     static Standard_Real Resolution (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real R3d);
0103   
0104   //! Returns  the  type of the   curve  in the  current
0105   //! interval :   Line,   Circle,   Ellipse, Hyperbola,
0106   //! Parabola, BezierCurve, BSplineCurve, OtherCurve.
0107     static GeomAbs_CurveType GetType (const Handle(Adaptor2d_Curve2d)& C);
0108   
0109     static gp_Lin2d Line (const Handle(Adaptor2d_Curve2d)& C);
0110   
0111     static gp_Circ2d Circle (const Handle(Adaptor2d_Curve2d)& C);
0112   
0113     static gp_Elips2d Ellipse (const Handle(Adaptor2d_Curve2d)& C);
0114   
0115     static gp_Hypr2d Hyperbola (const Handle(Adaptor2d_Curve2d)& C);
0116   
0117     static gp_Parab2d Parabola (const Handle(Adaptor2d_Curve2d)& C);
0118   
0119     static Handle(Geom2d_BezierCurve) Bezier (const Handle(Adaptor2d_Curve2d)& C);
0120   
0121     static Handle(Geom2d_BSplineCurve) BSpline (const Handle(Adaptor2d_Curve2d)& C);
0122   
0123   Standard_EXPORT static Standard_Integer NbSamples (const Handle(Adaptor2d_Curve2d)& C, const Standard_Real U0, const Standard_Real U1);
0124 
0125 
0126 
0127 
0128 protected:
0129 
0130 
0131 
0132 
0133 
0134 private:
0135 
0136 
0137 
0138 
0139 
0140 };
0141 
0142 
0143 #include <IntPatch_HCurve2dTool.lxx>
0144 
0145 
0146 
0147 
0148 
0149 #endif // _IntPatch_HCurve2dTool_HeaderFile