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1. BRepLib.cxx: calculation of 2d tolerance is changed in method BRepLib::SameParameter(Edge..) 2. Geom2dConvert.cxx: incorrect comparing "SquareDistance < tolerance" is replaced by "SquareDistance < tolerance*tolerance" because tolerance is linear value.
1635 lines
53 KiB
C++
1635 lines
53 KiB
C++
// Copyright (c) 1995-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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//Jean-Claude Vauthier Novembre 1991
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//Passage sur C1 Aout 1992 et ajout transformation Bezier->BSpline
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#include <BSplCLib.hxx>
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#include <Convert_CircleToBSplineCurve.hxx>
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#include <Convert_ConicToBSplineCurve.hxx>
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#include <Convert_EllipseToBSplineCurve.hxx>
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#include <Convert_HyperbolaToBSplineCurve.hxx>
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#include <Convert_ParabolaToBSplineCurve.hxx>
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#include <Geom2d_BezierCurve.hxx>
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#include <Geom2d_BSplineCurve.hxx>
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#include <Geom2d_Circle.hxx>
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#include <Geom2d_Conic.hxx>
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#include <Geom2d_Curve.hxx>
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#include <Geom2d_Ellipse.hxx>
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#include <Geom2d_Geometry.hxx>
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#include <Geom2d_Hyperbola.hxx>
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#include <Geom2d_Line.hxx>
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#include <Geom2d_OffsetCurve.hxx>
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#include <Geom2d_Parabola.hxx>
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#include <Geom2d_TrimmedCurve.hxx>
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#include <Geom2dConvert.hxx>
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#include <Geom2dConvert_ApproxCurve.hxx>
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#include <Geom2dConvert_CompCurveToBSplineCurve.hxx>
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#include <GeomAbs_Shape.hxx>
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#include <gp.hxx>
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#include <gp_Circ2d.hxx>
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#include <gp_Dir2d.hxx>
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#include <gp_Elips2d.hxx>
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#include <gp_Hypr2d.hxx>
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#include <gp_Lin.hxx>
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#include <gp_Parab2d.hxx>
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#include <gp_Pnt2d.hxx>
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#include <gp_Trsf2d.hxx>
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#include <gp_Vec2d.hxx>
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#include <Hermit.hxx>
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#include <PLib.hxx>
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#include <Precision.hxx>
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#include <Standard_ConstructionError.hxx>
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#include <Standard_DomainError.hxx>
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#include <Standard_OutOfRange.hxx>
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#include <TColgp_Array1OfPnt2d.hxx>
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#include <TColStd_Array1OfBoolean.hxx>
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#include <TColStd_Array1OfInteger.hxx>
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#include <TColStd_Array1OfReal.hxx>
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#include <TColStd_HArray1OfReal.hxx>
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typedef gp_Circ2d Circ2d;
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typedef gp_Elips2d Elips2d;
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typedef gp_Hypr2d Hypr2d;
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typedef gp_Parab2d Parab2d;
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typedef gp_Pnt2d Pnt2d;
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typedef gp_Trsf2d Trsf2d;
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typedef Geom2d_Curve Curve;
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typedef Geom2d_BSplineCurve BSplineCurve;
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typedef TColStd_Array1OfReal Array1OfReal;
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typedef TColStd_Array1OfInteger Array1OfInteger;
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typedef TColgp_Array1OfPnt2d Array1OfPnt2d;
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//=======================================================================
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//function : BSplineCurveBuilder
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//purpose :
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//=======================================================================
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static Handle(Geom2d_BSplineCurve) BSplineCurveBuilder (
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const Handle(Geom2d_Conic)& TheConic,
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const Convert_ConicToBSplineCurve& Convert
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) {
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Handle(Geom2d_BSplineCurve) TheCurve;
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Standard_Integer NbPoles = Convert.NbPoles();
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Standard_Integer NbKnots = Convert.NbKnots();
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Array1OfPnt2d Poles (1, NbPoles);
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Array1OfReal Weights (1, NbPoles);
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Array1OfReal Knots (1, NbKnots);
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Array1OfInteger Mults (1, NbKnots);
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Standard_Integer i;
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for (i = 1; i <= NbPoles; i++) {
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Poles (i) = Convert.Pole (i);
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Weights (i) = Convert.Weight (i);
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}
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for (i = 1; i <= NbKnots; i++) {
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Knots (i) = Convert.Knot (i);
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Mults (i) = Convert.Multiplicity (i);
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}
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TheCurve = new BSplineCurve (
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Poles, Weights, Knots, Mults,
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Convert.Degree(), Convert.IsPeriodic());
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gp_Ax22d Axis = TheConic->Position();
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if ( ( Axis.XDirection() ^ Axis.YDirection()) < 0.) {
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// Then the axis is left-handed, apply a symetry to the curve.
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gp_Trsf2d Sym;
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Sym.SetMirror(gp::OX2d());
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TheCurve->Transform(Sym);
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}
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Trsf2d T;
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T.SetTransformation (TheConic->XAxis(), gp::OX2d());
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Handle(Geom2d_BSplineCurve) Cres =
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Handle(Geom2d_BSplineCurve)::DownCast(TheCurve->Transformed (T));
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return Cres;
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}
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//=======================================================================
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//function : SplitBSplineCurve
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//purpose :
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//=======================================================================
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Handle(Geom2d_BSplineCurve) Geom2dConvert::SplitBSplineCurve (
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const Handle(Geom2d_BSplineCurve)& C,
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const Standard_Integer FromK1,
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const Standard_Integer ToK2,
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const Standard_Boolean SameOrientation
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) {
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Standard_Integer TheFirst = C->FirstUKnotIndex ();
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Standard_Integer TheLast = C->LastUKnotIndex ();
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if (FromK1 == ToK2) throw Standard_DomainError();
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Standard_Integer FirstK = Min (FromK1, ToK2);
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Standard_Integer LastK = Max (FromK1, ToK2);
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if (FirstK < TheFirst || LastK > TheLast) throw Standard_OutOfRange();
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Handle(Geom2d_BSplineCurve) NewCurve = Handle(Geom2d_BSplineCurve)::DownCast(C->Copy());
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NewCurve->Segment(C->Knot(FirstK),C->Knot(LastK));
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if (C->IsPeriodic()) {
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if (!SameOrientation) NewCurve->Reverse();
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}
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else {
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if (FromK1 > ToK2) NewCurve->Reverse();
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}
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return NewCurve;
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}
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//=======================================================================
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//function : SplitBSplineCurve
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//purpose :
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//=======================================================================
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Handle(Geom2d_BSplineCurve) Geom2dConvert::SplitBSplineCurve (
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const Handle(Geom2d_BSplineCurve)& C,
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const Standard_Real FromU1,
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const Standard_Real ToU2,
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const Standard_Real, // ParametricTolerance,
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const Standard_Boolean SameOrientation
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)
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{
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Standard_Real FirstU = Min( FromU1, ToU2);
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Standard_Real LastU = Max( FromU1, ToU2);
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Handle (Geom2d_BSplineCurve) C1
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= Handle(Geom2d_BSplineCurve)::DownCast(C->Copy());
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C1->Segment(FirstU, LastU);
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if (C->IsPeriodic()) {
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if (!SameOrientation) C1->Reverse();
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}
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else {
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if (FromU1 > ToU2) C1->Reverse();
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}
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return C1;
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}
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//=======================================================================
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//function : CurveToBSplineCurve
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//purpose :
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//=======================================================================
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Handle(Geom2d_BSplineCurve) Geom2dConvert::CurveToBSplineCurve (
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const Handle(Geom2d_Curve)& C,
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const Convert_ParameterisationType Parameterisation)
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{
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Handle (BSplineCurve) TheCurve;
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if (C->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))) {
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Handle (Curve) Curv;
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Handle(Geom2d_TrimmedCurve) Ctrim = Handle(Geom2d_TrimmedCurve)::DownCast(C);
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Curv = Ctrim->BasisCurve();
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Standard_Real U1 = Ctrim->FirstParameter();
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Standard_Real U2 = Ctrim->LastParameter();
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// Si la courbe n'est pas vraiment restreinte, on ne risque pas
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// le Raise dans le BS->Segment.
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if (!Curv->IsPeriodic()) {
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if (U1 < Curv->FirstParameter())
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U1 = Curv->FirstParameter();
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if (U2 > Curv->LastParameter())
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U2 = Curv->LastParameter();
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}
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if (Curv->IsKind(STANDARD_TYPE(Geom2d_Line))) {
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gp_Pnt2d Pdeb = Ctrim->StartPoint();
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gp_Pnt2d Pfin = Ctrim->EndPoint();
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Array1OfPnt2d Poles (1, 2);
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Poles (1) = Pdeb;
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Poles (2) = Pfin;
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Array1OfReal Knots (1, 2);
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Knots (1) = Ctrim->FirstParameter ();
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Knots (2) = Ctrim->LastParameter();
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Array1OfInteger Mults (1, 2);
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Mults (1) = 2;
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Mults (2) = 2;
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Standard_Integer Degree = 1;
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TheCurve = new Geom2d_BSplineCurve (Poles, Knots, Mults, Degree);
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}
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else if (Curv->IsKind(STANDARD_TYPE(Geom2d_Circle))) {
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Handle(Geom2d_Circle) TheConic= Handle(Geom2d_Circle)::DownCast(Curv);
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Circ2d C2d (gp::OX2d(), TheConic->Radius());
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if(Parameterisation != Convert_RationalC1) {
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Convert_CircleToBSplineCurve Convert (C2d,
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U1,
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U2,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else {
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if(U2 - U1 < 6.) {
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Convert_CircleToBSplineCurve Convert (C2d,
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U1,
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U2,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else { // split circle to avoide numerical
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// overflow when U2 - U1 =~ 2*PI
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Standard_Real Umed = (U1 + U2) * .5;
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Convert_CircleToBSplineCurve Convert1 (C2d,
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U1,
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Umed,
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Parameterisation);
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Handle (BSplineCurve) TheCurve1 = BSplineCurveBuilder (TheConic, Convert1);
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Convert_CircleToBSplineCurve Convert2 (C2d,
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Umed,
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U2,
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Parameterisation);
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Handle (BSplineCurve) TheCurve2 = BSplineCurveBuilder (TheConic, Convert2);
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Geom2dConvert_CompCurveToBSplineCurve CCTBSpl(TheCurve1,
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Parameterisation);
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CCTBSpl.Add(TheCurve2, Precision::PConfusion(), Standard_True);
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TheCurve = CCTBSpl.BSplineCurve();
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}
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}
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}
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else if (Curv->IsKind(STANDARD_TYPE(Geom2d_Ellipse))) {
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Handle(Geom2d_Ellipse) TheConic = Handle(Geom2d_Ellipse)::DownCast(Curv);
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Elips2d E2d (gp::OX2d(),
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TheConic->MajorRadius(),
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TheConic->MinorRadius());
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if(Parameterisation != Convert_RationalC1) {
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Convert_EllipseToBSplineCurve Convert (E2d,
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U1,
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U2,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else {
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if(U2 - U1 < 6.) {
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Convert_EllipseToBSplineCurve Convert (E2d,
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U1,
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U2,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else { // split ellipse to avoide numerical
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// overflow when U2 - U1 =~ 2*PI
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Standard_Real Umed = (U1 + U2) * .5;
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Convert_EllipseToBSplineCurve Convert1 (E2d,
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U1,
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Umed,
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Parameterisation);
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Handle (BSplineCurve) TheCurve1 = BSplineCurveBuilder (TheConic, Convert1);
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Convert_EllipseToBSplineCurve Convert2 (E2d,
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Umed,
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U2,
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Parameterisation);
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Handle (BSplineCurve) TheCurve2 = BSplineCurveBuilder (TheConic, Convert2);
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Geom2dConvert_CompCurveToBSplineCurve CCTBSpl(TheCurve1,
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Parameterisation);
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CCTBSpl.Add(TheCurve2, Precision::PConfusion(), Standard_True);
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TheCurve = CCTBSpl.BSplineCurve();
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}
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}
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}
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else if (Curv->IsKind(STANDARD_TYPE(Geom2d_Hyperbola))) {
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Handle(Geom2d_Hyperbola) TheConic = Handle(Geom2d_Hyperbola)::DownCast(Curv);
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Hypr2d H2d (gp::OX2d(),
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TheConic->MajorRadius(), TheConic->MinorRadius());
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Convert_HyperbolaToBSplineCurve Convert (H2d, U1, U2);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else if (Curv->IsKind(STANDARD_TYPE(Geom2d_Parabola))) {
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Handle(Geom2d_Parabola) TheConic = Handle(Geom2d_Parabola)::DownCast(Curv);
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Parab2d Prb2d (gp::OX2d(), TheConic->Focal());
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Convert_ParabolaToBSplineCurve Convert (Prb2d, U1, U2);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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}
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else if (Curv->IsKind (STANDARD_TYPE(Geom2d_BezierCurve))) {
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Handle(Geom2d_BezierCurve) CBez = Handle(Geom2d_BezierCurve)::DownCast(Curv->Copy());
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CBez->Segment (U1, U2);
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Standard_Integer NbPoles = CBez->NbPoles();
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Standard_Integer Degree = CBez->Degree();
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Array1OfPnt2d Poles (1, NbPoles);
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Array1OfReal Knots (1, 2);
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Array1OfInteger Mults (1, 2);
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Knots (1) = 0.0;
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Knots (2) = 1.0;
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Mults (1) = Degree + 1;
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Mults (2) = Degree + 1;
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CBez->Poles (Poles);
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if (CBez->IsRational()) {
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Array1OfReal Weights (1, NbPoles);
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CBez->Weights (Weights);
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TheCurve = new BSplineCurve (Poles, Weights, Knots, Mults, Degree);
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}
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else {
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TheCurve = new BSplineCurve (Poles, Knots, Mults, Degree);
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}
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}
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else if (Curv->IsKind (STANDARD_TYPE(Geom2d_BSplineCurve))) {
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TheCurve = Handle(Geom2d_BSplineCurve)::DownCast(Curv->Copy());
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TheCurve->Segment(U1,U2);
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}
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else if (Curv->IsKind (STANDARD_TYPE(Geom2d_OffsetCurve))) {
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Standard_Real Tol2d = 1.e-4;
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GeomAbs_Shape Order = GeomAbs_C2;
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Standard_Integer MaxSegments = 16, MaxDegree = 14;
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Geom2dConvert_ApproxCurve ApprCOffs(C, Tol2d, Order,
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MaxSegments, MaxDegree);
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if (ApprCOffs.HasResult())
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TheCurve = ApprCOffs.Curve();
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else throw Standard_ConstructionError();
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}
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else { throw Standard_DomainError("No such curve"); }
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}
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else {
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if (C->IsKind(STANDARD_TYPE(Geom2d_Ellipse))) {
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Handle(Geom2d_Ellipse) TheConic = Handle(Geom2d_Ellipse)::DownCast(C);
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Elips2d E2d (gp::OX2d(),
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TheConic->MajorRadius(), TheConic->MinorRadius());
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Convert_EllipseToBSplineCurve Convert (E2d,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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TheCurve->SetPeriodic();
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}
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else if (C->IsKind(STANDARD_TYPE(Geom2d_Circle))) {
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Handle(Geom2d_Circle) TheConic = Handle(Geom2d_Circle)::DownCast(C);
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Circ2d C2d (gp::OX2d(), TheConic->Radius());
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Convert_CircleToBSplineCurve Convert (C2d,
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Parameterisation);
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TheCurve = BSplineCurveBuilder (TheConic, Convert);
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TheCurve->SetPeriodic();
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}
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else if (C->IsKind (STANDARD_TYPE(Geom2d_BezierCurve))) {
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Handle(Geom2d_BezierCurve) CBez = Handle(Geom2d_BezierCurve)::DownCast(C);
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Standard_Integer NbPoles = CBez->NbPoles();
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Standard_Integer Degree = CBez->Degree();
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Array1OfPnt2d Poles (1, NbPoles);
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Array1OfReal Knots (1, 2);
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Array1OfInteger Mults (1, 2);
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Knots (1) = 0.0;
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Knots (2) = 1.0;
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Mults (1) = Degree + 1;
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Mults (2) = Degree + 1;
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CBez->Poles (Poles);
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if (CBez->IsRational()) {
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Array1OfReal Weights (1, NbPoles);
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CBez->Weights (Weights);
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TheCurve = new BSplineCurve (Poles, Weights, Knots, Mults, Degree);
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}
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else {
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TheCurve = new BSplineCurve (Poles, Knots, Mults, Degree);
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}
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}
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else if (C->IsKind (STANDARD_TYPE(Geom2d_BSplineCurve))) {
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TheCurve = Handle(Geom2d_BSplineCurve)::DownCast(C->Copy());
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}
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else if (C->IsKind (STANDARD_TYPE(Geom2d_OffsetCurve))) {
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Standard_Real Tol2d = 1.e-4;
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GeomAbs_Shape Order = GeomAbs_C2;
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Standard_Integer MaxSegments = 16, MaxDegree = 14;
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Geom2dConvert_ApproxCurve ApprCOffs(C, Tol2d, Order,
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MaxSegments, MaxDegree);
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if (ApprCOffs.HasResult())
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TheCurve = ApprCOffs.Curve();
|
|
else throw Standard_ConstructionError();
|
|
}
|
|
|
|
else { throw Standard_DomainError(); }
|
|
}
|
|
|
|
return TheCurve;
|
|
}
|
|
|
|
//=======================================================================
|
|
//class : law_evaluator
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
class Geom2dConvert_law_evaluator : public BSplCLib_EvaluatorFunction
|
|
{
|
|
|
|
public:
|
|
|
|
Geom2dConvert_law_evaluator (const Handle(Geom2d_BSplineCurve)& theAncore)
|
|
: myAncore (theAncore) {}
|
|
|
|
virtual void Evaluate (const Standard_Integer theDerivativeRequest,
|
|
const Standard_Real* theStartEnd,
|
|
const Standard_Real theParameter,
|
|
Standard_Real& theResult,
|
|
Standard_Integer& theErrorCode) const
|
|
{
|
|
theErrorCode = 0;
|
|
if (!myAncore.IsNull() &&
|
|
theParameter >= theStartEnd[0] &&
|
|
theParameter <= theStartEnd[1] &&
|
|
theDerivativeRequest == 0)
|
|
{
|
|
gp_Pnt2d aPoint;
|
|
myAncore->D0 (theParameter, aPoint);
|
|
theResult = aPoint.Coord (2);
|
|
}
|
|
else
|
|
theErrorCode = 1;
|
|
}
|
|
|
|
private:
|
|
|
|
Handle(Geom2d_BSplineCurve) myAncore;
|
|
|
|
};
|
|
|
|
|
|
//=======================================================================
|
|
//function : MultNumandDenom
|
|
//purpose : Multiply two BSpline curves to make one
|
|
//=======================================================================
|
|
|
|
|
|
static Handle(Geom2d_BSplineCurve) MultNumandDenom(const Handle(Geom2d_BSplineCurve)& a ,
|
|
const Handle(Geom2d_BSplineCurve)& BS )
|
|
|
|
{ TColStd_Array1OfReal aKnots(1,a->NbKnots());
|
|
TColStd_Array1OfReal BSKnots(1,BS->NbKnots());
|
|
TColStd_Array1OfReal BSFlatKnots(1,BS->NbPoles()+BS->Degree()+1);
|
|
TColStd_Array1OfReal BSWeights(1,BS->NbPoles());
|
|
TColStd_Array1OfInteger aMults(1,a->NbKnots());
|
|
TColStd_Array1OfInteger BSMults(1,BS->NbKnots());
|
|
TColgp_Array1OfPnt2d aPoles(1,a->NbPoles());
|
|
TColgp_Array1OfPnt2d BSPoles(1,BS->NbPoles());
|
|
Handle(Geom2d_BSplineCurve) res;
|
|
Handle(TColStd_HArray1OfReal) resKnots;
|
|
Handle(TColStd_HArray1OfInteger) resMults;
|
|
Standard_Real start_value,end_value;
|
|
Standard_Real tolerance=Precision::Confusion();
|
|
Standard_Integer resNbPoles,degree,
|
|
ii,jj,
|
|
aStatus;
|
|
|
|
BS->Knots(BSKnots);
|
|
BS->Multiplicities(BSMults);
|
|
BS->Poles(BSPoles);
|
|
BS->Weights(BSWeights);
|
|
BS->KnotSequence(BSFlatKnots);
|
|
start_value = BSKnots(1);
|
|
end_value = BSKnots(BS->NbKnots());
|
|
|
|
a->Knots(aKnots);
|
|
a->Poles(aPoles);
|
|
a->Multiplicities(aMults);
|
|
BSplCLib::Reparametrize(BS->FirstParameter(),BS->LastParameter(),aKnots);
|
|
Handle(Geom2d_BSplineCurve) anAncore = new Geom2d_BSplineCurve (aPoles, aKnots, aMults, a->Degree());
|
|
|
|
BSplCLib::MergeBSplineKnots(tolerance,start_value,end_value,
|
|
a->Degree(),aKnots,aMults,
|
|
BS->Degree(),BSKnots,BSMults,
|
|
resNbPoles,resKnots,resMults);
|
|
degree=BS->Degree()+a->Degree();
|
|
TColgp_Array1OfPnt2d resNumPoles(1,resNbPoles);
|
|
TColStd_Array1OfReal resDenPoles(1,resNbPoles);
|
|
TColgp_Array1OfPnt2d resPoles(1,resNbPoles);
|
|
TColStd_Array1OfReal resFlatKnots(1,resNbPoles+degree+1);
|
|
BSplCLib::KnotSequence(resKnots->Array1(),resMults->Array1(),resFlatKnots);
|
|
for (ii=1;ii<=BS->NbPoles();ii++)
|
|
for (jj=1;jj<=2;jj++)
|
|
BSPoles(ii).SetCoord(jj,BSPoles(ii).Coord(jj)*BSWeights(ii));
|
|
//POP pour NT
|
|
Geom2dConvert_law_evaluator ev (anAncore);
|
|
BSplCLib::FunctionMultiply(ev,
|
|
BS->Degree(),
|
|
BSFlatKnots,
|
|
BSPoles,
|
|
resFlatKnots,
|
|
degree,
|
|
resNumPoles,
|
|
aStatus);
|
|
BSplCLib::FunctionMultiply(ev,
|
|
BS->Degree(),
|
|
BSFlatKnots,
|
|
BSWeights,
|
|
resFlatKnots,
|
|
degree,
|
|
resDenPoles,
|
|
aStatus);
|
|
// BSplCLib::FunctionMultiply(law_evaluator,
|
|
// BS->Degree(),
|
|
// BSFlatKnots,
|
|
// BSPoles,
|
|
// resFlatKnots,
|
|
// degree,
|
|
// resNumPoles,
|
|
// aStatus);
|
|
// BSplCLib::FunctionMultiply(law_evaluator,
|
|
// BS->Degree(),
|
|
// BSFlatKnots,
|
|
// BSWeights,
|
|
// resFlatKnots,
|
|
// degree,
|
|
// resDenPoles,
|
|
// aStatus);
|
|
for (ii=1;ii<=resNbPoles;ii++)
|
|
for(jj=1;jj<=2;jj++)
|
|
resPoles(ii).SetCoord(jj,resNumPoles(ii).Coord(jj)/resDenPoles(ii));
|
|
res = new Geom2d_BSplineCurve(resPoles,resDenPoles,resKnots->Array1(),resMults->Array1(),degree);
|
|
return res;
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : Pretreatment
|
|
//purpose : Put the two first and two last weigths at one if they are
|
|
// equal
|
|
//=======================================================================
|
|
|
|
static void Pretreatment(TColGeom2d_Array1OfBSplineCurve& tab)
|
|
|
|
{Standard_Integer i,j;
|
|
Standard_Real a;
|
|
|
|
for (i=0;i<=(tab.Length()-1);i++){
|
|
if (tab(i)->IsRational()) {
|
|
a=tab(i)->Weight(1) ;
|
|
if ((tab(i)->Weight(2)==a)&&
|
|
(tab(i)->Weight(tab(i)->NbPoles()-1)==a) &&
|
|
(tab(i)->Weight(tab(i)->NbPoles())==a))
|
|
|
|
for (j=1;j<=tab(i)->NbPoles();j++)
|
|
tab(i)->SetWeight(j,tab(i)->Weight(j)/a) ;
|
|
}
|
|
}
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : NeedToBeTreated
|
|
//purpose : Say if the BSpline is rationnal and if the two first and two
|
|
// last weigths are different
|
|
//=======================================================================
|
|
|
|
static Standard_Boolean NeedToBeTreated(const Handle(Geom2d_BSplineCurve)& BS)
|
|
|
|
{
|
|
TColStd_Array1OfReal tabWeights(1,BS->NbPoles());
|
|
if (BS->IsRational()) {
|
|
BS->Weights(tabWeights);
|
|
if ((BSplCLib::IsRational(tabWeights,1,BS->NbPoles()))&&
|
|
((BS->Weight(1)<(1-Precision::Confusion()))||
|
|
(BS->Weight(1)>(1+Precision::Confusion()))||
|
|
(BS->Weight(2)<(1-Precision::Confusion()))||
|
|
(BS->Weight(2)>(1+Precision::Confusion()))||
|
|
(BS->Weight(BS->NbPoles()-1)<(1-Precision::Confusion()))||
|
|
(BS->Weight(BS->NbPoles()-1)>(1+Precision::Confusion()))||
|
|
(BS->Weight(BS->NbPoles())<(1-Precision::Confusion()))||
|
|
(BS->Weight(BS->NbPoles())>(1+Precision::Confusion()))))
|
|
return Standard_True;
|
|
else
|
|
return Standard_False;
|
|
}
|
|
else
|
|
return Standard_False ;
|
|
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : Need2DegRepara
|
|
//purpose : in the case of wire closed G1 it says if you will to use a
|
|
// two degree reparametrisation to close it C1
|
|
//=======================================================================
|
|
|
|
static Standard_Boolean Need2DegRepara(const TColGeom2d_Array1OfBSplineCurve& tab)
|
|
|
|
{Standard_Integer i;
|
|
gp_Vec2d Vec1,Vec2;
|
|
gp_Pnt2d Pint;
|
|
Standard_Real Rapport=1.0e0;
|
|
|
|
for (i=0;i<=tab.Length()-2;i++){
|
|
tab(i+1)->D1(tab(i+1)->FirstParameter(),Pint,Vec1);
|
|
tab(i)->D1(tab(i)->LastParameter(),Pint,Vec2);
|
|
Rapport=Rapport*Vec2.Magnitude()/Vec1.Magnitude();
|
|
}
|
|
if ((Rapport<=(1.0e0 +Precision::Confusion()))&&(Rapport>=(1.0e0-Precision::Confusion())))
|
|
return Standard_False;
|
|
else
|
|
return Standard_True;
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : Indexmin
|
|
//purpose : Give the index of the curve which has the lowest degree
|
|
//=======================================================================
|
|
|
|
static Standard_Integer Indexmin(const TColGeom2d_Array1OfBSplineCurve& tab)
|
|
{
|
|
Standard_Integer i,index=0,degree;
|
|
|
|
degree=tab(0)->Degree();
|
|
for (i=0;i<=tab.Length()-1;i++)
|
|
if (tab(i)->Degree()<=degree){
|
|
degree=tab(i)->Degree();
|
|
index=i;
|
|
}
|
|
return index;
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : NewTabClosedG1
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
static void ReorderArrayOfG1(TColGeom2d_Array1OfBSplineCurve& ArrayOfCurves,
|
|
TColStd_Array1OfReal& ArrayOfToler,
|
|
TColStd_Array1OfBoolean& tabG1,
|
|
const Standard_Integer StartIndex,
|
|
const Standard_Real ClosedTolerance)
|
|
|
|
{Standard_Integer i;
|
|
TColGeom2d_Array1OfBSplineCurve ArraybisOfCurves(0,ArrayOfCurves.Length()-1);
|
|
TColStd_Array1OfReal ArraybisOfToler(0,ArrayOfToler.Length()-1);
|
|
TColStd_Array1OfBoolean tabbisG1(0,tabG1.Length()-1);
|
|
|
|
for (i=0;i<=ArrayOfCurves.Length()-1;i++){
|
|
if (i!=ArrayOfCurves.Length()-1){
|
|
ArraybisOfCurves(i)=ArrayOfCurves(i);
|
|
ArraybisOfToler(i)=ArrayOfToler(i);
|
|
tabbisG1(i)=tabG1(i);
|
|
}
|
|
else
|
|
ArraybisOfCurves(i)=ArrayOfCurves(i);
|
|
}
|
|
|
|
for (i=0;i<=(ArrayOfCurves.Length()-(StartIndex+2));i++){
|
|
ArrayOfCurves(i)=ArraybisOfCurves(i+StartIndex+1);
|
|
if (i!=(ArrayOfCurves.Length()-(StartIndex+2))){
|
|
ArrayOfToler(i)=ArraybisOfToler(i+StartIndex+1);
|
|
tabG1(i)=tabbisG1(i+StartIndex+1);
|
|
}
|
|
}
|
|
|
|
ArrayOfToler(ArrayOfCurves.Length()-(StartIndex+2))=ClosedTolerance;
|
|
tabG1(ArrayOfCurves.Length()-(StartIndex+2))=Standard_True;
|
|
|
|
for (i=(ArrayOfCurves.Length()-(StartIndex+1));i<=(ArrayOfCurves.Length()-1);i++){
|
|
if (i!=ArrayOfCurves.Length()-1){
|
|
ArrayOfCurves(i)=ArraybisOfCurves(i-(ArrayOfCurves.Length()-(StartIndex+1)));
|
|
ArrayOfToler(i)=ArraybisOfToler(i-(ArrayOfCurves.Length()-(StartIndex+1)));
|
|
tabG1(i)=tabbisG1(i-(ArrayOfCurves.Length()-(StartIndex+1)));
|
|
}
|
|
else
|
|
ArrayOfCurves(i)=ArraybisOfCurves(i-(ArrayOfCurves.Length()-(StartIndex+1)));
|
|
}
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : GeomAbsToInteger
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
static Standard_Integer GeomAbsToInteger(const GeomAbs_Shape gcont)
|
|
{
|
|
Standard_Integer cont=0 ;
|
|
switch (gcont) {
|
|
case GeomAbs_C0 :
|
|
cont = 0 ;
|
|
break ;
|
|
case GeomAbs_G1 :
|
|
cont = 1 ;
|
|
break ;
|
|
case GeomAbs_C1 :
|
|
cont = 2 ;
|
|
break ;
|
|
case GeomAbs_G2 :
|
|
cont = 3 ;
|
|
break ;
|
|
case GeomAbs_C2 :
|
|
cont = 4 ;
|
|
break ;
|
|
case GeomAbs_C3 :
|
|
cont = 5 ;
|
|
break ;
|
|
case GeomAbs_CN :
|
|
cont = 6 ;
|
|
break ;
|
|
}
|
|
return cont ;
|
|
}
|
|
//=======================================================================
|
|
//function : Continuity
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
static GeomAbs_Shape Continuity(const Handle(Geom2d_Curve)& C1,
|
|
const Handle(Geom2d_Curve)& C2,
|
|
const Standard_Real u1,
|
|
const Standard_Real u2,
|
|
const Standard_Boolean r1,
|
|
const Standard_Boolean r2,
|
|
const Standard_Real tl,
|
|
const Standard_Real ta)
|
|
{
|
|
GeomAbs_Shape cont = GeomAbs_C0;
|
|
Standard_Integer index1,
|
|
index2 ;
|
|
Standard_Real tolerance,value ;
|
|
// Standard_Boolean fini = Standard_False;
|
|
gp_Vec2d d1,d2;
|
|
// gp_Dir2d dir1,dir2;
|
|
gp_Pnt2d point1, point2 ;
|
|
Standard_Integer cont1, cont2 ;
|
|
GeomAbs_Shape gcont1 = C1->Continuity(), gcont2 = C2->Continuity();
|
|
cont1 = GeomAbsToInteger(gcont1) ;
|
|
cont2 = GeomAbsToInteger(gcont2) ;
|
|
|
|
Handle(Geom2d_Curve) aCurve1 = C1 ;
|
|
Handle(Geom2d_Curve) aCurve2 = C2 ;
|
|
if (C1->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))){
|
|
Handle(Geom2d_TrimmedCurve) aTrimmed = Handle(Geom2d_TrimmedCurve) ::DownCast(aCurve1) ;
|
|
aCurve1 = aTrimmed->BasisCurve() ;
|
|
}
|
|
if (C2->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))){
|
|
Handle(Geom2d_TrimmedCurve) aTrimmed = Handle(Geom2d_TrimmedCurve) ::DownCast(aCurve2) ;
|
|
aCurve2 = aTrimmed->BasisCurve() ;
|
|
}
|
|
if (aCurve1->IsKind(STANDARD_TYPE(Geom2d_BSplineCurve))){
|
|
Handle(Geom2d_BSplineCurve) BSplineCurve = Handle(Geom2d_BSplineCurve)::DownCast(aCurve1) ;
|
|
BSplineCurve->Resolution(tl,
|
|
tolerance) ;
|
|
BSplineCurve->LocateU(u1,
|
|
tolerance,
|
|
index1,
|
|
index2) ;
|
|
|
|
if (index1 > 1 && index2 < BSplineCurve->NbKnots() && index1 == index2) {
|
|
cont1 = BSplineCurve->Degree() - BSplineCurve->Multiplicity(index1) ;
|
|
}
|
|
else {
|
|
cont1 = 5 ;
|
|
}
|
|
}
|
|
if (aCurve2->IsKind(STANDARD_TYPE(Geom2d_BSplineCurve))){
|
|
Handle(Geom2d_BSplineCurve) BSplineCurve = Handle(Geom2d_BSplineCurve)::DownCast(aCurve2) ;
|
|
BSplineCurve->Resolution(tl,
|
|
tolerance) ;
|
|
BSplineCurve->LocateU(u2,
|
|
tolerance,
|
|
index1,
|
|
index2) ;
|
|
|
|
if (index1 > 1 && index2 < BSplineCurve->NbKnots() && index1 == index2) {
|
|
cont2 = BSplineCurve->Degree() - BSplineCurve->Multiplicity(index1) ;
|
|
}
|
|
else {
|
|
cont2 = 5 ;
|
|
}
|
|
}
|
|
aCurve1->D1(u1,
|
|
point1,
|
|
d1) ;
|
|
aCurve2->D1(u2,
|
|
point2,
|
|
d2) ;
|
|
if (point1.SquareDistance(point2) <= tl * tl) {
|
|
if (cont1 != 0 &&
|
|
cont2 != 0) {
|
|
|
|
if (d1.SquareMagnitude() >= tl * tl &&
|
|
d2.SquareMagnitude() >= tl * tl) {
|
|
if (r1) {
|
|
d1.SetCoord(-d1.X(),-d1.Y()) ;
|
|
}
|
|
if (r2) {
|
|
d2.SetCoord(-d2.X(),-d2.Y()) ;
|
|
}
|
|
value = d1.Dot(d2) ;
|
|
if ((d1.Magnitude()<=(d2.Magnitude()+tl))&&
|
|
(d1.Magnitude()>=(d2.Magnitude()-tl))&&
|
|
(value/(d1.Magnitude()*d2.Magnitude()) >= 1.0e0 - ta * ta)) {
|
|
cont = GeomAbs_C1 ;
|
|
}
|
|
else {
|
|
d1.Normalize() ;
|
|
d2.Normalize() ;
|
|
value = Abs(d1.Dot(d2)) ;
|
|
if (value >= 1.0e0 - ta * ta) {
|
|
cont = GeomAbs_G1 ;
|
|
}
|
|
}
|
|
|
|
}
|
|
}
|
|
}
|
|
else
|
|
throw Standard_Failure("Courbes non jointives");
|
|
return cont ;
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : Continuity
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
static GeomAbs_Shape Continuity(const Handle(Geom2d_Curve)& C1,
|
|
const Handle(Geom2d_Curve)& C2,
|
|
const Standard_Real u1,
|
|
const Standard_Real u2,
|
|
const Standard_Boolean r1,
|
|
const Standard_Boolean r2)
|
|
{
|
|
return Continuity(C1,C2,u1,u2,r1,r2,
|
|
Precision::Confusion(),Precision::Angular());
|
|
}
|
|
|
|
//=======================================================================
|
|
//class :reparameterise_evaluator
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
class Geom2dConvert_reparameterise_evaluator : public BSplCLib_EvaluatorFunction
|
|
{
|
|
|
|
public:
|
|
|
|
Geom2dConvert_reparameterise_evaluator (const Standard_Real thePolynomialCoefficient[3])
|
|
{
|
|
memcpy(myPolynomialCoefficient, thePolynomialCoefficient, sizeof(myPolynomialCoefficient));
|
|
}
|
|
|
|
virtual void Evaluate (const Standard_Integer theDerivativeRequest,
|
|
const Standard_Real* /*theStartEnd*/,
|
|
const Standard_Real theParameter,
|
|
Standard_Real& theResult,
|
|
Standard_Integer& theErrorCode) const
|
|
{
|
|
theErrorCode = 0;
|
|
PLib::EvalPolynomial (theParameter,
|
|
theDerivativeRequest,
|
|
2,
|
|
1,
|
|
*((Standard_Real* )myPolynomialCoefficient), // function really only read values from this array
|
|
theResult);
|
|
}
|
|
|
|
private:
|
|
|
|
Standard_Real myPolynomialCoefficient[3];
|
|
|
|
};
|
|
|
|
//=======================================================================
|
|
//function : ConcatG1
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//purpose :
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//=======================================================================
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void Geom2dConvert::ConcatG1(TColGeom2d_Array1OfBSplineCurve& ArrayOfCurves,
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const TColStd_Array1OfReal& ArrayOfToler,
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Handle(TColGeom2d_HArray1OfBSplineCurve) & ArrayOfConcatenated,
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Standard_Boolean& ClosedFlag,
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const Standard_Real ClosedTolerance)
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{Standard_Integer nb_curve=ArrayOfCurves.Length(),
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nb_vertexG1,
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nb_group=0,
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index=0,i,ii,j,jj,
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indexmin,
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nb_vertex_group0=0;
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Standard_Real lambda, //coeff de raccord G1
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First,PreLast=0;
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gp_Vec2d Vec1,Vec2; //vecteurs tangents consecutifs
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gp_Pnt2d Pint;
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Handle(Geom2d_BSplineCurve) Curve1,Curve2;
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TColStd_Array1OfBoolean tabG1(0,nb_curve-2); //tableau de continuite G1 aux raccords
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TColStd_Array1OfReal local_tolerance(0,
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ArrayOfToler.Length()-1) ;
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for (i= 0; i < ArrayOfToler.Length() ; i++) {
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local_tolerance(i) = ArrayOfToler(i) ;
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}
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for (i=0 ;i<nb_curve; i++){
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if (i >= 1){
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First=ArrayOfCurves(i)->FirstParameter();
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if (Continuity(ArrayOfCurves(i-1),
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ArrayOfCurves(i),
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PreLast,First,
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Standard_True,
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Standard_True)<GeomAbs_C0)
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throw Standard_ConstructionError("Geom2dConvert curves not C0") ; //renvoi d'une erreur
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else{
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if (Continuity(ArrayOfCurves(i-1),
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ArrayOfCurves(i),
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PreLast,First,
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Standard_True,
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Standard_True)>=GeomAbs_G1)
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tabG1(i-1)=Standard_True; //True=Continuite G1
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else
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tabG1(i-1)=Standard_False;
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}
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}
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PreLast=ArrayOfCurves(i)->LastParameter();
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}
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while (index<=nb_curve-1){ //determination des caracteristiques du Wire
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nb_vertexG1=0;
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while(((index+nb_vertexG1)<=nb_curve-2)&&(tabG1(index+nb_vertexG1)==Standard_True))
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nb_vertexG1++;
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nb_group++;
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if (index==0)
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nb_vertex_group0=nb_vertexG1;
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index=index+1+nb_vertexG1;
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}
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if ((ClosedFlag)&&(nb_group!=1)){ //rearrangement du tableau
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nb_group--;
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ReorderArrayOfG1(ArrayOfCurves,
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local_tolerance,
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tabG1,
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nb_vertex_group0,
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ClosedTolerance);
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}
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ArrayOfConcatenated = new
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TColGeom2d_HArray1OfBSplineCurve(0,nb_group-1);
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Standard_Boolean fusion;
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// Standard_Integer k=0;
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index=0;
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Pretreatment(ArrayOfCurves);
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Standard_Real aPolynomialCoefficient[3];
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Standard_Boolean NeedDoubleDegRepara = Need2DegRepara(ArrayOfCurves);
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if (nb_group==1 && ClosedFlag && NeedDoubleDegRepara)
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{
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Curve1 = ArrayOfCurves(nb_curve-1);
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if (Curve1->Degree() > Geom2d_BSplineCurve::MaxDegree()/2)
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ClosedFlag = Standard_False;
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}
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if ((nb_group==1) && (ClosedFlag)){ //traitement d'un cas particulier
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indexmin=Indexmin(ArrayOfCurves);
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if (indexmin!=(ArrayOfCurves.Length()-1))
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ReorderArrayOfG1(ArrayOfCurves,
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local_tolerance,
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tabG1,
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indexmin,
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ClosedTolerance);
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Curve2=ArrayOfCurves(0);
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for (j=1;j<=nb_curve-1;j++){ //boucle secondaire a l'interieur de chaque groupe
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Curve1=ArrayOfCurves(j);
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if ( (j==(nb_curve-1)) && (NeedDoubleDegRepara)){
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const Standard_Integer aNewCurveDegree = 2 * Curve1->Degree();
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Curve2->D1(Curve2->LastParameter(),Pint,Vec1);
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Curve1->D1(Curve1->FirstParameter(),Pint,Vec2);
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lambda=Vec2.Magnitude()/Vec1.Magnitude();
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TColStd_Array1OfReal KnotC1 (1, Curve1->NbKnots());
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Curve1->Knots(KnotC1);
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Curve1->D1(Curve1->LastParameter(),Pint,Vec2);
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ArrayOfCurves(0)->D1(ArrayOfCurves(0)->FirstParameter(),Pint,Vec1);
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Standard_Real lambda2=Vec1.Magnitude()/Vec2.Magnitude();
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Standard_Real tmax,a,b,c,
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umin=Curve1->FirstParameter(),umax=Curve1->LastParameter();
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tmax=2*lambda*(umax-umin)/(1+lambda*lambda2);
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a=(lambda*lambda2-1)/(2*lambda*tmax);
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aPolynomialCoefficient[2] = a;
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b=(1/lambda);
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aPolynomialCoefficient[1] = b;
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c=umin;
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aPolynomialCoefficient[0] = c;
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TColStd_Array1OfReal Curve1FlatKnots(1,Curve1->NbPoles()+Curve1->Degree()+1);
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TColStd_Array1OfInteger KnotC1Mults(1,Curve1->NbKnots());
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Curve1->Multiplicities(KnotC1Mults);
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BSplCLib::KnotSequence(KnotC1,KnotC1Mults,Curve1FlatKnots);
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KnotC1(1)=0.0;
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for (ii=2;ii<=KnotC1.Length();ii++) {
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// KnotC1(ii)=(-b+Abs(a)/a*Sqrt(b*b-4*a*(c-KnotC1(ii))))/(2*a);
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KnotC1(ii)=(-b+Sqrt(b*b-4*a*(c-KnotC1(ii))))/(2*a); //ifv 17.05.00 buc60667
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}
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TColgp_Array1OfPnt2d Curve1Poles(1,Curve1->NbPoles());
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Curve1->Poles(Curve1Poles);
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for (ii=1;ii<=Curve1->NbKnots();ii++)
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KnotC1Mults(ii)=(Curve1->Degree()+KnotC1Mults(ii));
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TColStd_Array1OfReal FlatKnots(1,Curve1FlatKnots.Length()+(Curve1->Degree()*Curve1->NbKnots()));
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BSplCLib::KnotSequence(KnotC1,KnotC1Mults,FlatKnots);
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TColgp_Array1OfPnt2d NewPoles(1,FlatKnots.Length()-(2*Curve1->Degree()+1));
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Standard_Integer aStatus;
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TColStd_Array1OfReal Curve1Weights(1,Curve1->NbPoles());
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Curve1->Weights(Curve1Weights);
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for (ii=1;ii<=Curve1->NbPoles();ii++)
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for (jj=1;jj<=2;jj++)
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Curve1Poles(ii).SetCoord(jj,Curve1Poles(ii).Coord(jj)*Curve1Weights(ii));
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//POP pour NT
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Geom2dConvert_reparameterise_evaluator ev (aPolynomialCoefficient);
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BSplCLib::FunctionReparameterise(ev,
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Curve1->Degree(),
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Curve1FlatKnots,
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Curve1Poles,
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FlatKnots,
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aNewCurveDegree,
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NewPoles,
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aStatus
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);
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TColStd_Array1OfReal NewWeights(1,FlatKnots.Length()-(2*Curve1->Degree()+1));
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BSplCLib::FunctionReparameterise(ev,
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Curve1->Degree(),
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Curve1FlatKnots,
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Curve1Weights,
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FlatKnots,
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aNewCurveDegree,
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NewWeights,
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aStatus
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);
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// BSplCLib::FunctionReparameterise(reparameterise_evaluator,
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// Curve1->Degree(),
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// Curve1FlatKnots,
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// Curve1Poles,
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// FlatKnots,
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// 2*Curve1->Degree(),
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// NewPoles,
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// aStatus
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// );
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// TColStd_Array1OfReal NewWeights(1,FlatKnots.Length()-(2*Curve1->Degree()+1));
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// BSplCLib::FunctionReparameterise(reparameterise_evaluator,
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// Curve1->Degree(),
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// Curve1FlatKnots,
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// Curve1Weights,
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// FlatKnots,
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// 2*Curve1->Degree(),
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// NewWeights,
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// aStatus
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// );
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for (ii=1;ii<=NewPoles.Length();ii++)
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for (jj=1;jj<=2;jj++)
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NewPoles(ii).SetCoord(jj,NewPoles(ii).Coord(jj)/NewWeights(ii));
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Curve1 = new Geom2d_BSplineCurve(NewPoles, NewWeights, KnotC1, KnotC1Mults, aNewCurveDegree);
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}
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Geom2dConvert_CompCurveToBSplineCurve C(Curve2);
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fusion=C.Add(Curve1,
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local_tolerance(j-1)); //fusion de deux courbes adjacentes
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if (fusion==Standard_False)
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throw Standard_ConstructionError("Geom2dConvert Concatenation Error") ;
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Curve2=C.BSplineCurve();
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}
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Curve2->SetPeriodic(); //1 seule courbe C1
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Curve2->RemoveKnot(Curve2->LastUKnotIndex(),
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Curve2->Multiplicity(Curve2->LastUKnotIndex())-1,
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Precision::Confusion());
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ArrayOfConcatenated->SetValue(0,Curve2);
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}
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else
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for (i=0;i<=nb_group-1;i++){ //boucle principale sur chaque groupe de
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nb_vertexG1=0; //continuite interne G1
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while (((index+nb_vertexG1)<=nb_curve-2)&&(tabG1(index+nb_vertexG1)==Standard_True))
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nb_vertexG1++;
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for (j=index;j<=index+nb_vertexG1;j++){ //boucle secondaire a l'interieur de chaque groupe
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Curve1=ArrayOfCurves(j);
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if (index==j) //initialisation en debut de groupe
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ArrayOfConcatenated->SetValue(i,Curve1);
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else{
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Geom2dConvert_CompCurveToBSplineCurve C(ArrayOfConcatenated->Value(i));
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fusion=C.Add(Curve1,ArrayOfToler(j-1)); //fusion de deux courbes adjacentes
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if (fusion==Standard_False)
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throw Standard_ConstructionError("Geom2dConvert Concatenation Error") ;
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ArrayOfConcatenated->SetValue(i,C.BSplineCurve());
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}
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}
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index=index+1+nb_vertexG1;
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}
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}
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//=======================================================================
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//function : ConcatC1
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//purpose :
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//=======================================================================
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void Geom2dConvert::ConcatC1(TColGeom2d_Array1OfBSplineCurve& ArrayOfCurves,
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const TColStd_Array1OfReal& ArrayOfToler,
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Handle(TColStd_HArray1OfInteger)& ArrayOfIndices,
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Handle(TColGeom2d_HArray1OfBSplineCurve) & ArrayOfConcatenated,
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Standard_Boolean& ClosedFlag,
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const Standard_Real ClosedTolerance)
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{
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ConcatC1(ArrayOfCurves,
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ArrayOfToler,
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ArrayOfIndices,
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ArrayOfConcatenated,
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ClosedFlag,
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ClosedTolerance,
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Precision::Angular()) ;
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}
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//=======================================================================
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//function : ConcatC1
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//purpose :
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//=======================================================================
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void Geom2dConvert::ConcatC1(TColGeom2d_Array1OfBSplineCurve& ArrayOfCurves,
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const TColStd_Array1OfReal& ArrayOfToler,
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Handle(TColStd_HArray1OfInteger)& ArrayOfIndices,
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Handle(TColGeom2d_HArray1OfBSplineCurve) & ArrayOfConcatenated,
|
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Standard_Boolean& ClosedFlag,
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const Standard_Real ClosedTolerance,
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const Standard_Real AngularTolerance)
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{Standard_Integer nb_curve=ArrayOfCurves.Length(),
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nb_vertexG1,
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nb_group=0,
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index=0,i,ii,j,jj,
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indexmin,
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nb_vertex_group0=0;
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Standard_Real lambda, //coeff de raccord G1
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First,PreLast=0;
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gp_Vec2d Vec1,Vec2; //vecteurs tangents consecutifs
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gp_Pnt2d Pint;
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Handle(Geom2d_BSplineCurve) Curve1,Curve2;
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TColStd_Array1OfBoolean tabG1(0,nb_curve-2); //tableau de continuite G1 aux raccords
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TColStd_Array1OfReal local_tolerance(0,
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ArrayOfToler.Length()-1) ;
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|
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for (i=0 ; i < ArrayOfToler.Length() ; i++) {
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local_tolerance(i) = ArrayOfToler(i) ;
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}
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for (i=0 ;i<nb_curve; i++){
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if (i >= 1){
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First=ArrayOfCurves(i)->FirstParameter();
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if (Continuity(ArrayOfCurves(i-1),
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ArrayOfCurves(i),
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PreLast,First,
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Standard_True,
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Standard_True,
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ArrayOfToler(i-1),
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AngularTolerance)<GeomAbs_C0)
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throw Standard_ConstructionError("Geom2dConvert curves not C0") ; //renvoi d'une erreur
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else{
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if (Continuity(ArrayOfCurves(i-1),
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ArrayOfCurves(i),
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PreLast,
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First,
|
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Standard_True,
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Standard_True,
|
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ArrayOfToler(i-1),
|
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AngularTolerance)>=GeomAbs_G1)
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tabG1(i-1)=Standard_True; //True=Continuite G1
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else
|
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tabG1(i-1)=Standard_False;
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}
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}
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PreLast=ArrayOfCurves(i)->LastParameter();
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}
|
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|
|
|
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while (index<=nb_curve-1){ //determination des caracteristiques du Wire
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nb_vertexG1=0;
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while(((index+nb_vertexG1)<=nb_curve-2)&&(tabG1(index+nb_vertexG1)==Standard_True))
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nb_vertexG1++;
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nb_group++;
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if (index==0)
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nb_vertex_group0=nb_vertexG1;
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index=index+1+nb_vertexG1;
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}
|
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|
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if ((ClosedFlag)&&(nb_group!=1)){ //rearrangement du tableau
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nb_group--;
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ReorderArrayOfG1(ArrayOfCurves,
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local_tolerance,
|
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tabG1,
|
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nb_vertex_group0,
|
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ClosedTolerance);
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}
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ArrayOfIndices = new TColStd_HArray1OfInteger(0,nb_group);
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ArrayOfConcatenated = new TColGeom2d_HArray1OfBSplineCurve(0,nb_group-1);
|
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|
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Standard_Boolean fusion;
|
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Standard_Integer k=0;
|
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index=0;
|
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Pretreatment(ArrayOfCurves);
|
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Standard_Real aPolynomialCoefficient[3];
|
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|
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Standard_Boolean NeedDoubleDegRepara = Need2DegRepara(ArrayOfCurves);
|
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if (nb_group==1 && ClosedFlag && NeedDoubleDegRepara)
|
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{
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Curve1 = ArrayOfCurves(nb_curve-1);
|
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if (Curve1->Degree() > Geom2d_BSplineCurve::MaxDegree()/2)
|
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ClosedFlag = Standard_False;
|
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}
|
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|
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if ((nb_group==1) && (ClosedFlag)){ //traitement d'un cas particulier
|
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ArrayOfIndices->SetValue(0,0);
|
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ArrayOfIndices->SetValue(1,0);
|
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indexmin=Indexmin(ArrayOfCurves);
|
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if (indexmin!=(ArrayOfCurves.Length()-1))
|
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ReorderArrayOfG1(ArrayOfCurves,
|
|
local_tolerance,
|
|
tabG1,
|
|
indexmin,
|
|
ClosedTolerance);
|
|
for (j=0;j<=nb_curve-1;j++){ //boucle secondaire a l'interieur de chaque groupe
|
|
if (NeedToBeTreated(ArrayOfCurves(j))) {
|
|
Curve1=MultNumandDenom(Hermit::Solution(ArrayOfCurves(j)),ArrayOfCurves(j));
|
|
}
|
|
else
|
|
Curve1=ArrayOfCurves(j);
|
|
|
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const Standard_Integer aNewCurveDegree = 2 * Curve1->Degree();
|
|
|
|
if (j==0) //initialisation en debut de groupe
|
|
Curve2=Curve1;
|
|
else{
|
|
if ( (j==(nb_curve-1)) && (NeedDoubleDegRepara)){
|
|
Curve2->D1(Curve2->LastParameter(),Pint,Vec1);
|
|
Curve1->D1(Curve1->FirstParameter(),Pint,Vec2);
|
|
lambda=Vec2.Magnitude()/Vec1.Magnitude();
|
|
TColStd_Array1OfReal KnotC1 (1, Curve1->NbKnots());
|
|
Curve1->Knots(KnotC1);
|
|
Curve1->D1(Curve1->LastParameter(),Pint,Vec2);
|
|
ArrayOfCurves(0)->D1(ArrayOfCurves(0)->FirstParameter(),Pint,Vec1);
|
|
Standard_Real lambda2=Vec1.Magnitude()/Vec2.Magnitude();
|
|
Standard_Real tmax,a,b,c,
|
|
umin=Curve1->FirstParameter(),umax=Curve1->LastParameter();
|
|
tmax=2*lambda*(umax-umin)/(1+lambda*lambda2);
|
|
a=(lambda*lambda2-1)/(2*lambda*tmax);
|
|
aPolynomialCoefficient[2] = a;
|
|
b=(1/lambda);
|
|
aPolynomialCoefficient[1] = b;
|
|
c=umin;
|
|
aPolynomialCoefficient[0] = c;
|
|
TColStd_Array1OfReal Curve1FlatKnots(1,Curve1->NbPoles()+Curve1->Degree()+1);
|
|
TColStd_Array1OfInteger KnotC1Mults(1,Curve1->NbKnots());
|
|
Curve1->Multiplicities(KnotC1Mults);
|
|
BSplCLib::KnotSequence(KnotC1,KnotC1Mults,Curve1FlatKnots);
|
|
KnotC1(1)=0.0;
|
|
for (ii=2;ii<=KnotC1.Length();ii++) {
|
|
// KnotC1(ii)=(-b+Abs(a)/a*Sqrt(b*b-4*a*(c-KnotC1(ii))))/(2*a);
|
|
KnotC1(ii)=(-b+Sqrt(b*b-4*a*(c-KnotC1(ii))))/(2*a); //ifv 17.05.00 buc60667
|
|
}
|
|
TColgp_Array1OfPnt2d Curve1Poles(1,Curve1->NbPoles());
|
|
Curve1->Poles(Curve1Poles);
|
|
|
|
for (ii=1;ii<=Curve1->NbKnots();ii++)
|
|
KnotC1Mults(ii)=(Curve1->Degree()+KnotC1Mults(ii));
|
|
|
|
TColStd_Array1OfReal FlatKnots(1,Curve1FlatKnots.Length()+(Curve1->Degree()*Curve1->NbKnots()));
|
|
|
|
BSplCLib::KnotSequence(KnotC1,KnotC1Mults,FlatKnots);
|
|
TColgp_Array1OfPnt2d NewPoles(1, FlatKnots.Length() - (aNewCurveDegree + 1));
|
|
Standard_Integer aStatus;
|
|
TColStd_Array1OfReal Curve1Weights(1,Curve1->NbPoles());
|
|
Curve1->Weights(Curve1Weights);
|
|
for (ii=1;ii<=Curve1->NbPoles();ii++)
|
|
for (jj=1;jj<=2;jj++)
|
|
Curve1Poles(ii).SetCoord(jj,Curve1Poles(ii).Coord(jj)*Curve1Weights(ii));
|
|
//POP pour NT
|
|
Geom2dConvert_reparameterise_evaluator ev (aPolynomialCoefficient);
|
|
// BSplCLib::FunctionReparameterise(reparameterise_evaluator,
|
|
BSplCLib::FunctionReparameterise(ev,
|
|
Curve1->Degree(),
|
|
Curve1FlatKnots,
|
|
Curve1Poles,
|
|
FlatKnots,
|
|
aNewCurveDegree,
|
|
NewPoles,
|
|
aStatus
|
|
);
|
|
TColStd_Array1OfReal NewWeights(1, FlatKnots.Length() - (aNewCurveDegree + 1));
|
|
// BSplCLib::FunctionReparameterise(reparameterise_evaluator,
|
|
BSplCLib::FunctionReparameterise(ev,
|
|
Curve1->Degree(),
|
|
Curve1FlatKnots,
|
|
Curve1Weights,
|
|
FlatKnots,
|
|
aNewCurveDegree,
|
|
NewWeights,
|
|
aStatus
|
|
);
|
|
for (ii=1;ii<=NewPoles.Length();ii++) {
|
|
for (jj=1;jj<=2;jj++)
|
|
NewPoles(ii).SetCoord(jj,NewPoles(ii).Coord(jj)/NewWeights(ii));
|
|
}
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|
Curve1 = new Geom2d_BSplineCurve(NewPoles, NewWeights, KnotC1, KnotC1Mults, aNewCurveDegree);
|
|
}
|
|
Geom2dConvert_CompCurveToBSplineCurve C(Curve2);
|
|
fusion=C.Add(Curve1,
|
|
local_tolerance(j-1)); //fusion de deux courbes adjacentes
|
|
if (fusion==Standard_False)
|
|
throw Standard_ConstructionError("Geom2dConvert Concatenation Error") ;
|
|
Curve2=C.BSplineCurve();
|
|
}
|
|
}
|
|
Curve2->SetPeriodic(); //1 seule courbe C1
|
|
Curve2->RemoveKnot(Curve2->LastUKnotIndex(),
|
|
Curve2->Multiplicity(Curve2->LastUKnotIndex())-1,
|
|
Precision::Confusion());
|
|
ArrayOfConcatenated->SetValue(0,Curve2);
|
|
}
|
|
|
|
else
|
|
for (i=0;i<=nb_group-1;i++){ //boucle principale sur chaque groupe de
|
|
nb_vertexG1=0; //continuite interne G1
|
|
|
|
while (((index+nb_vertexG1)<=nb_curve-2)&&(tabG1(index+nb_vertexG1)==Standard_True))
|
|
nb_vertexG1++;
|
|
|
|
if ((!ClosedFlag)||(nb_group==1)){ //remplissage du tableau des indices conserves
|
|
k++;
|
|
ArrayOfIndices->SetValue(k-1,index);
|
|
if (k==nb_group)
|
|
ArrayOfIndices->SetValue(k,0);
|
|
}
|
|
else{
|
|
k++;
|
|
ArrayOfIndices->SetValue(k-1,index+nb_vertex_group0+1);
|
|
if (k==nb_group)
|
|
ArrayOfIndices->SetValue(k,nb_vertex_group0+1);
|
|
}
|
|
|
|
for (j=index;j<=index+nb_vertexG1;j++){ //boucle secondaire a l'interieur de chaque groupe
|
|
if (NeedToBeTreated(ArrayOfCurves(j)))
|
|
Curve1=MultNumandDenom(Hermit::Solution(ArrayOfCurves(j)),ArrayOfCurves(j));
|
|
else
|
|
Curve1=ArrayOfCurves(j);
|
|
|
|
if (index==j) //initialisation en debut de groupe
|
|
ArrayOfConcatenated->SetValue(i,Curve1);
|
|
else{
|
|
Geom2dConvert_CompCurveToBSplineCurve C (ArrayOfConcatenated->Value(i));
|
|
fusion=C.Add(Curve1,ArrayOfToler(j-1)); //fusion de deux courbes adjacentes
|
|
if (fusion==Standard_False)
|
|
throw Standard_ConstructionError("Geom2dConvert Concatenation Error") ;
|
|
ArrayOfConcatenated->SetValue(i,C.BSplineCurve());
|
|
}
|
|
}
|
|
index=index+1+nb_vertexG1;
|
|
}
|
|
}
|
|
|
|
//=======================================================================
|
|
//function : C0BSplineToC1BSplineCurve
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
void Geom2dConvert::C0BSplineToC1BSplineCurve(Handle(Geom2d_BSplineCurve)& BS,
|
|
const Standard_Real tolerance)
|
|
|
|
{
|
|
TColStd_Array1OfInteger BSMults(1,BS->NbKnots());
|
|
TColStd_Array1OfReal BSKnots(1,BS->NbKnots());
|
|
Standard_Integer i,j,nbcurveC1=1;
|
|
Standard_Real U1,U2;
|
|
Standard_Boolean closed_flag = Standard_False ;
|
|
gp_Pnt2d point1, point2;
|
|
gp_Vec2d V1,V2;
|
|
Standard_Boolean fusion;
|
|
|
|
BS->Knots(BSKnots);
|
|
BS->Multiplicities(BSMults);
|
|
for (i=BS->FirstUKnotIndex() + 1;i<=(BS->LastUKnotIndex()-1);i++){
|
|
if (BSMults(i)==BS->Degree())
|
|
nbcurveC1++;
|
|
}
|
|
|
|
nbcurveC1 = Min(nbcurveC1, BS->NbKnots() - 1);
|
|
|
|
if (nbcurveC1>1){
|
|
TColGeom2d_Array1OfBSplineCurve ArrayOfCurves(0,nbcurveC1-1);
|
|
TColStd_Array1OfReal ArrayOfToler(0,nbcurveC1-2);
|
|
|
|
for (i=0;i<=nbcurveC1-2;i++)
|
|
ArrayOfToler(i)=tolerance;
|
|
U2=BS->FirstParameter() ;
|
|
j=BS->FirstUKnotIndex() + 1 ;
|
|
for (i=0;i<nbcurveC1;i++){
|
|
U1=U2;
|
|
|
|
while (j < BS->LastUKnotIndex() && BSMults(j) < BS->Degree())
|
|
j++;
|
|
|
|
U2=BSKnots(j);
|
|
j++;
|
|
Handle(Geom2d_BSplineCurve) BSbis=Handle(Geom2d_BSplineCurve)::DownCast(BS->Copy());
|
|
BSbis->Segment(U1,U2);
|
|
ArrayOfCurves(i)=BSbis;
|
|
}
|
|
|
|
const Standard_Real anAngularToler = 1.0e-7;
|
|
Handle(TColStd_HArray1OfInteger) ArrayOfIndices;
|
|
Handle(TColGeom2d_HArray1OfBSplineCurve) ArrayOfConcatenated;
|
|
|
|
BS->D1(BS->FirstParameter(),point1,V1); //a verifier
|
|
BS->D1(BS->LastParameter(),point2,V2);
|
|
|
|
if ((point1.SquareDistance(point2) < tolerance * tolerance) &&
|
|
(V1.IsParallel(V2, anAngularToler)))
|
|
{
|
|
closed_flag = Standard_True;
|
|
}
|
|
|
|
Geom2dConvert::ConcatC1(ArrayOfCurves,
|
|
ArrayOfToler,
|
|
ArrayOfIndices,
|
|
ArrayOfConcatenated,
|
|
closed_flag,
|
|
tolerance);
|
|
|
|
Geom2dConvert_CompCurveToBSplineCurve C(ArrayOfConcatenated->Value(0));
|
|
if (ArrayOfConcatenated->Length()>=2){
|
|
for (i=1;i<ArrayOfConcatenated->Length();i++){
|
|
fusion=C.Add(ArrayOfConcatenated->Value(i),tolerance, Standard_True);
|
|
if (fusion==Standard_False)
|
|
throw Standard_ConstructionError("Geom2dConvert Concatenation Error") ;
|
|
}
|
|
}
|
|
BS=C.BSplineCurve();
|
|
}
|
|
}
|
|
//=======================================================================
|
|
//function : C0BSplineToArrayOfC1BSplineCurve
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
void Geom2dConvert::C0BSplineToArrayOfC1BSplineCurve(const Handle(Geom2d_BSplineCurve) & BS,
|
|
Handle(TColGeom2d_HArray1OfBSplineCurve) & tabBS,
|
|
const Standard_Real tolerance)
|
|
{
|
|
C0BSplineToArrayOfC1BSplineCurve(BS,
|
|
tabBS,
|
|
tolerance,
|
|
Precision::Angular());
|
|
}
|
|
//=======================================================================
|
|
//function : C0BSplineToArrayOfC1BSplineCurve
|
|
//purpose :
|
|
//=======================================================================
|
|
|
|
void Geom2dConvert::C0BSplineToArrayOfC1BSplineCurve(const Handle(Geom2d_BSplineCurve) & BS,
|
|
Handle(TColGeom2d_HArray1OfBSplineCurve) & tabBS,
|
|
const Standard_Real AngularTolerance,
|
|
const Standard_Real Tolerance)
|
|
|
|
{
|
|
TColStd_Array1OfInteger BSMults(1,BS->NbKnots());
|
|
TColStd_Array1OfReal BSKnots(1,BS->NbKnots());
|
|
Standard_Integer i,j,nbcurveC1=1;
|
|
Standard_Real U1,U2;
|
|
Standard_Boolean closed_flag = Standard_False ;
|
|
gp_Pnt2d point1, point2;
|
|
gp_Vec2d V1,V2;
|
|
// Standard_Boolean fusion;
|
|
|
|
BS->Knots(BSKnots);
|
|
BS->Multiplicities(BSMults);
|
|
for (i=BS->FirstUKnotIndex() ;i<=(BS->LastUKnotIndex()-1);i++){
|
|
if (BSMults(i)==BS->Degree())
|
|
nbcurveC1++;
|
|
}
|
|
|
|
nbcurveC1 = Min(nbcurveC1, BS->NbKnots() - 1);
|
|
|
|
if (nbcurveC1>1){
|
|
TColGeom2d_Array1OfBSplineCurve ArrayOfCurves(0,nbcurveC1-1);
|
|
TColStd_Array1OfReal ArrayOfToler(0,nbcurveC1-2);
|
|
|
|
for (i=0;i<=nbcurveC1-2;i++)
|
|
ArrayOfToler(i)=Tolerance;
|
|
U2=BS->FirstParameter() ;
|
|
j=BS->FirstUKnotIndex()+ 1 ;
|
|
for (i=0;i<nbcurveC1;i++){
|
|
U1=U2;
|
|
while (j < BS->LastUKnotIndex() && BSMults(j)<BS->Degree())
|
|
j++;
|
|
U2=BSKnots(j);
|
|
j++;
|
|
Handle(Geom2d_BSplineCurve) BSbis=Handle(Geom2d_BSplineCurve)::DownCast(BS->Copy());
|
|
BSbis->Segment(U1,U2);
|
|
ArrayOfCurves(i)=BSbis;
|
|
}
|
|
|
|
Handle(TColStd_HArray1OfInteger) ArrayOfIndices;
|
|
|
|
BS->D1(BS->FirstParameter(),point1,V1);
|
|
BS->D1(BS->LastParameter(),point2,V2);
|
|
|
|
if (((point1.SquareDistance(point2) < Tolerance)) &&
|
|
(V1.IsParallel(V2, AngularTolerance)))
|
|
{
|
|
closed_flag = Standard_True;
|
|
}
|
|
|
|
Geom2dConvert::ConcatC1(ArrayOfCurves,
|
|
ArrayOfToler,
|
|
ArrayOfIndices,
|
|
tabBS,
|
|
closed_flag,
|
|
Tolerance,
|
|
AngularTolerance) ;
|
|
}
|
|
else{
|
|
tabBS = new TColGeom2d_HArray1OfBSplineCurve(0,0);
|
|
tabBS->SetValue(0,BS);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|