include/opencascade/Extrema_Curve2dTool.hxx

0001 // Created on: 1995-07-18
0002 // Created by: Modelistation
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 _Extrema_Curve2dTool_HeaderFile
0018 #define _Extrema_Curve2dTool_HeaderFile
0019
0020 #include <Standard.hxx>
0021 #include <Standard_DefineAlloc.hxx>
0022 #include <Standard_Handle.hxx>
0023
0024 #include <Standard_Real.hxx>
0025 #include <GeomAbs_Shape.hxx>
0026 #include <Standard_Integer.hxx>
0027 #include <TColStd_Array1OfReal.hxx>
0028 #include <TColStd_HArray1OfReal.hxx>
0029 #include <Standard_Boolean.hxx>
0030 #include <GeomAbs_CurveType.hxx>
0031 #include <gp_Lin2d.hxx>
0032 #include <gp_Circ2d.hxx>
0033 #include <gp_Elips2d.hxx>
0034 #include <gp_Hypr2d.hxx>
0035 #include <gp_Parab2d.hxx>
0036 class Adaptor2d_Curve2d;
0037 class gp_Pnt2d;
0038 class gp_Vec2d;
0039 class Geom2d_BezierCurve;
0040 class Geom2d_BSplineCurve;
0041
0042
0043
0044 class Extrema_Curve2dTool
0045 {
0046 public:
0047
0048   DEFINE_STANDARD_ALLOC
0049
0050
0051     static Standard_Real FirstParameter (const Adaptor2d_Curve2d& C);
0052
0053     static Standard_Real LastParameter (const Adaptor2d_Curve2d& C);
0054
0055     static GeomAbs_Shape Continuity (const Adaptor2d_Curve2d& C);
0056
0057   //! If necessary,   breaks the curve  in  intervals of
0058   //! continuity <S>.     And   returns  the  number  of
0059   //! intervals.
0060     static Standard_Integer NbIntervals (const Adaptor2d_Curve2d& C, const GeomAbs_Shape S);
0061
0062   //! Stores in <T> the  parameters bounding the intervals
0063   //! of continuity <S>.
0064     static void Intervals (const Adaptor2d_Curve2d& C, TColStd_Array1OfReal& T, const GeomAbs_Shape S);
0065
0066   //! Returns the parameters bounding the intervals of subdivision of curve
0067   //! according to Curvature deflection. Value of deflection is defined in method.
0068   //!
0069     Standard_EXPORT static Handle(TColStd_HArray1OfReal) DeflCurvIntervals(const Adaptor2d_Curve2d& C);
0070
0071     static Standard_Boolean IsClosed (const Adaptor2d_Curve2d& C);
0072
0073     static Standard_Boolean IsPeriodic (const Adaptor2d_Curve2d& C);
0074
0075     static Standard_Real Period (const Adaptor2d_Curve2d& C);
0076
0077   //! Computes the point of parameter U on the curve.
0078     static gp_Pnt2d Value (const Adaptor2d_Curve2d& C, const Standard_Real U);
0079
0080   //! Computes the point of parameter U on the curve.
0081     static void D0 (const Adaptor2d_Curve2d& C, const Standard_Real U, gp_Pnt2d& P);
0082
0083   //! Computes the point of parameter U on the curve with its
0084   //! first derivative.
0085     static void D1 (const Adaptor2d_Curve2d& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V);
0086
0087
0088   //! Returns the point P of parameter U, the first and second
0089   //! derivatives V1 and V2.
0090     static void D2 (const Adaptor2d_Curve2d& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2);
0091
0092
0093   //! Returns the point P of parameter U, the first, the second
0094   //! and the third derivative.
0095     static void D3 (const Adaptor2d_Curve2d& C, const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3);
0096
0097
0098   //! The returned vector gives the value of the derivative for the
0099   //! order of derivation N.
0100     static gp_Vec2d DN (const Adaptor2d_Curve2d& C, const Standard_Real U, const Standard_Integer N);
0101
0102   //! Returns the parametric  resolution corresponding
0103   //! to the real space resolution <R3d>.
0104     static Standard_Real Resolution (const Adaptor2d_Curve2d& C, const Standard_Real R3d);
0105
0106   //! Returns  the  type of the   curve  in the  current
0107   //! interval :   Line,   Circle,   Ellipse, Hyperbola,
0108   //! Parabola, BezierCurve, BSplineCurve, OtherCurve.
0109     static GeomAbs_CurveType GetType (const Adaptor2d_Curve2d& C);
0110
0111     static gp_Lin2d Line (const Adaptor2d_Curve2d& C);
0112
0113     static gp_Circ2d Circle (const Adaptor2d_Curve2d& C);
0114
0115     static gp_Elips2d Ellipse (const Adaptor2d_Curve2d& C);
0116
0117     static gp_Hypr2d Hyperbola (const Adaptor2d_Curve2d& C);
0118
0119     static gp_Parab2d Parabola (const Adaptor2d_Curve2d& C);
0120
0121     static Standard_Integer Degree (const Adaptor2d_Curve2d& C);
0122
0123     static Standard_Boolean IsRational (const Adaptor2d_Curve2d& C);
0124
0125     static Standard_Integer NbPoles (const Adaptor2d_Curve2d& C);
0126
0127     static Standard_Integer NbKnots (const Adaptor2d_Curve2d& C);
0128
0129     static Handle(Geom2d_BezierCurve) Bezier (const Adaptor2d_Curve2d& C);
0130
0131     static Handle(Geom2d_BSplineCurve) BSpline (const Adaptor2d_Curve2d& C);
0132
0133
0134
0135
0136 protected:
0137
0138
0139
0140
0141
0142 private:
0143
0144
0145
0146
0147
0148 };
0149
0150
0151 #include <Extrema_Curve2dTool.lxx>
0152
0153
0154
0155
0156
0157 #endif // _Extrema_Curve2dTool_HeaderFile