1 // Copyright (c) 1995-1999 Matra Datavision
2 // Copyright (c) 1999-2014 OPEN CASCADE SAS
3 //
4 // This file is part of Open CASCADE Technology software library.
5 //
6 // This library is free software; you can redistribute it and/or modify it under
7 // the terms of the GNU Lesser General Public License version 2.1 as published
8 // by the Free Software Foundation, with special exception defined in the file
9 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
10 // distribution for complete text of the license and disclaimer of any warranty.
11 //
12 // Alternatively, this file may be used under the terms of Open CASCADE
13 // commercial license or contractual agreement.
14 
15 //JCV 16/10/91
16 
17 #include <Convert_ParabolaToBSplineCurve.hxx>
18 #include <gp.hxx>
19 #include <gp_Ax2d.hxx>
20 #include <gp_Dir2d.hxx>
21 #include <gp_Parab2d.hxx>
22 #include <gp_Trsf2d.hxx>
23 #include <TColgp_Array1OfPnt2d.hxx>
24 #include <TColgp_HArray1OfPnt2d.hxx>
25 #include <TColStd_Array1OfReal.hxx>
26 #include <TColStd_HArray1OfInteger.hxx>
27 #include <TColStd_HArray1OfReal.hxx>
28 
29 static Standard_Integer TheDegree  = 2;
30 static Standard_Integer MaxNbKnots = 2;
31 static Standard_Integer MaxNbPoles = 3;
32 
33 //=======================================================================
34 //function : Convert_ParabolaToBSplineCurve
35 //purpose  :
36 //=======================================================================
37 
Convert_ParabolaToBSplineCurve(const gp_Parab2d & Prb,const Standard_Real U1,const Standard_Real U2)38 Convert_ParabolaToBSplineCurve::Convert_ParabolaToBSplineCurve
39   (const gp_Parab2d&   Prb,
40    const Standard_Real U1 ,
41    const Standard_Real U2  )
42 : Convert_ConicToBSplineCurve (MaxNbPoles, MaxNbKnots, TheDegree)
43 {
44   Standard_DomainError_Raise_if( Abs(U2 - U1) < Epsilon(0.),
45 				"Convert_ParabolaToBSplineCurve");
46 
47   Standard_Real UF = Min (U1, U2);
48   Standard_Real UL = Max( U1, U2);
49 
50   Standard_Real p = Prb.Parameter();
51 
52   nbPoles = 3;
53   nbKnots = 2;
54   isperiodic = Standard_False;
55   knots->ChangeArray1()(1) = UF;  mults->ChangeArray1()(1) = 3;
56   knots->ChangeArray1()(2) = UL;  mults->ChangeArray1()(2) = 3;
57 
58  weights->ChangeArray1()(1) = 1.;
59  weights->ChangeArray1()(2) = 1.;
60  weights->ChangeArray1()(3) = 1.;
61 
62   gp_Dir2d Ox = Prb.Axis().XDirection();
63   gp_Dir2d Oy = Prb.Axis().YDirection();
64   Standard_Real S = ( Ox.X() * Oy.Y() - Ox.Y() * Oy.X() > 0.) ?  1 : -1;
65 
66 
67   // poles expressed in the reference mark
68   poles->ChangeArray1()(1) =
69     gp_Pnt2d( ( UF * UF) / ( 2. * p), S *   UF            );
70   poles->ChangeArray1()(2) =
71     gp_Pnt2d( ( UF * UL) / ( 2. * p), S * ( UF + UL) / 2. );
72   poles->ChangeArray1()(3) =
73     gp_Pnt2d( ( UL * UL) / ( 2. * p), S *   UL            );
74 
75   // replace the bspline in the mark of the parabola
76   gp_Trsf2d Trsf;
77   Trsf.SetTransformation( Prb.Axis().XAxis(), gp::OX2d());
78   poles->ChangeArray1()(1).Transform( Trsf);
79   poles->ChangeArray1()(2).Transform( Trsf);
80   poles->ChangeArray1()(3).Transform( Trsf);
81 }
82 
83 
84