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856 lines
27 KiB
C++
856 lines
27 KiB
C++
// Created on: 1997-06-25
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// Created by: Philippe MANGIN
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// Copyright (c) 1997-1999 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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#include <AdvApprox_ApproxAFunction.hxx>
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#include <AdvApprox_DichoCutting.hxx>
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#include <AdvApprox_PrefAndRec.hxx>
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#include <Approx_SweepApproximation.hxx>
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#include <Approx_SweepFunction.hxx>
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#include <BSplCLib.hxx>
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#include <Standard_DomainError.hxx>
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#include <StdFail_NotDone.hxx>
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#include <TColStd_Array1OfReal.hxx>
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#include <TColgp_Array1OfPnt2d.hxx>
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#include <gp_XYZ.hxx>
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//=================================================================================================
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class Approx_SweepApproximation_Eval : public AdvApprox_EvaluatorFunction
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{
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public:
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Approx_SweepApproximation_Eval(Approx_SweepApproximation& theTool)
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: Tool(theTool)
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{
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}
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virtual void Evaluate(Standard_Integer* Dimension,
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Standard_Real StartEnd[2],
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Standard_Real* Parameter,
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Standard_Integer* DerivativeRequest,
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Standard_Real* Result, // [Dimension]
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Standard_Integer* ErrorCode);
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private:
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Approx_SweepApproximation& Tool;
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};
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void Approx_SweepApproximation_Eval::Evaluate(Standard_Integer*, /*Dimension*/
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Standard_Real StartEnd[2],
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Standard_Real* Parameter,
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Standard_Integer* DerivativeRequest,
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Standard_Real* Result, // [Dimension]
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Standard_Integer* ErrorCode)
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{
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*ErrorCode = Tool.Eval(*Parameter, *DerivativeRequest, StartEnd[0], StartEnd[1], Result[0]);
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}
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Approx_SweepApproximation::Approx_SweepApproximation(const Handle(Approx_SweepFunction)& Func)
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{
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myFunc = Func;
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// Init of variables of control
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myParam = 0;
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myOrder = -1;
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first = 1.e100;
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last = -1.e100;
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done = Standard_False;
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}
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void Approx_SweepApproximation::Perform(const Standard_Real First,
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const Standard_Real Last,
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const Standard_Real Tol3d,
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const Standard_Real BoundTol,
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const Standard_Real Tol2d,
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const Standard_Real TolAngular,
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const GeomAbs_Shape Continuity,
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const Standard_Integer Degmax,
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const Standard_Integer Segmax)
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{
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Standard_Integer NbPolSect, NbKnotSect, ii;
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Standard_Real Tol, Tol3dMin = Tol3d, The3D2DTol = 0;
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GeomAbs_Shape continuity = Continuity;
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// (1) Characteristics of a section
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myFunc->SectionShape(NbPolSect, NbKnotSect, udeg);
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Num2DSS = myFunc->Nb2dCurves();
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tabUKnots = new (TColStd_HArray1OfReal)(1, NbKnotSect);
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tabUMults = new (TColStd_HArray1OfInteger)(1, NbKnotSect);
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myFunc->Knots(tabUKnots->ChangeArray1());
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myFunc->Mults(tabUMults->ChangeArray1());
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// (2) Decompositition into sub-spaces
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Handle(TColStd_HArray1OfReal) OneDTol, TwoDTol, ThreeDTol;
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Num3DSS = NbPolSect;
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// (2.1) Tolerance 3d and 1d
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OneDTol = new (TColStd_HArray1OfReal)(1, Num3DSS);
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ThreeDTol = new (TColStd_HArray1OfReal)(1, Num3DSS);
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myFunc->GetTolerance(BoundTol, Tol3d, TolAngular, ThreeDTol->ChangeArray1());
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for (ii = 1; ii <= Num3DSS; ii++)
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if (ThreeDTol->Value(ii) < Tol3dMin)
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Tol3dMin = ThreeDTol->Value(ii);
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if (myFunc->IsRational())
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{
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Standard_Real Size;
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Num1DSS = NbPolSect;
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TColStd_Array1OfReal Wmin(1, Num1DSS);
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myFunc->GetMinimalWeight(Wmin);
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Size = myFunc->MaximalSection();
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Translation.SetXYZ(myFunc->BarycentreOfSurf().XYZ());
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for (ii = 1; ii <= Num3DSS; ii++)
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{
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Tol = ThreeDTol->Value(ii) / 2; // To take account of the error on the final result.
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OneDTol->SetValue(ii, Tol * Wmin(ii) / Size);
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Tol *= Wmin(ii); // Factor of projection
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ThreeDTol->SetValue(ii, Max(Tol, 1.e-20));
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}
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}
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else
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{
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Num1DSS = 0;
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}
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// (2.2) Tolerance and Transformation 2d.
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if (Num2DSS == 0)
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{
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TwoDTol.Nullify();
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}
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else
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{
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// for 2d define affinity using resolutions, to
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// avoid homogeneous tolerance of approximation (u/v and 2d/3d)
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Standard_Real res, tolu, tolv;
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TwoDTol = new (TColStd_HArray1OfReal)(1, Num2DSS);
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AAffin = new (Approx_HArray1OfGTrsf2d)(1, Num2DSS);
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The3D2DTol = 0.9 * BoundTol; // 10% of security
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for (ii = 1; ii <= Num2DSS; ii++)
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{
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myFunc->Resolution(ii, The3D2DTol, tolu, tolv);
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if (tolu > tolv)
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{
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res = tolv;
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AAffin->ChangeValue(ii).SetValue(1, 1, tolv / tolu);
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}
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else
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{
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res = tolu;
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AAffin->ChangeValue(ii).SetValue(2, 2, tolu / tolv);
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}
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TwoDTol->SetValue(ii, Min(Tol2d, res));
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}
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}
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// (3) Approximation
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// Init
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myPoles = new (TColgp_HArray1OfPnt)(1, Num3DSS);
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myDPoles = new (TColgp_HArray1OfVec)(1, Num3DSS);
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myD2Poles = new (TColgp_HArray1OfVec)(1, Num3DSS);
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myWeigths = new (TColStd_HArray1OfReal)(1, Num3DSS);
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myDWeigths = new (TColStd_HArray1OfReal)(1, Num3DSS);
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myD2Weigths = new (TColStd_HArray1OfReal)(1, Num3DSS);
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if (Num2DSS > 0)
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{
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myPoles2d = new (TColgp_HArray1OfPnt2d)(1, Num2DSS);
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myDPoles2d = new (TColgp_HArray1OfVec2d)(1, Num2DSS);
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myD2Poles2d = new (TColgp_HArray1OfVec2d)(1, Num2DSS);
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COnSurfErr = new (TColStd_HArray1OfReal)(1, Num2DSS);
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}
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else
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{
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myPoles2d = new TColgp_HArray1OfPnt2d();
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myDPoles2d = new TColgp_HArray1OfVec2d();
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myD2Poles2d = new TColgp_HArray1OfVec2d();
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COnSurfErr = new TColStd_HArray1OfReal();
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}
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// Checks if myFunc->D2 is implemented
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if (continuity >= GeomAbs_C2)
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{
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Standard_Boolean B;
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B = myFunc->D2(First,
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First,
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Last,
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myPoles->ChangeArray1(),
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myDPoles->ChangeArray1(),
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myD2Poles->ChangeArray1(),
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myPoles2d->ChangeArray1(),
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myDPoles2d->ChangeArray1(),
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myD2Poles2d->ChangeArray1(),
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myWeigths->ChangeArray1(),
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myDWeigths->ChangeArray1(),
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myD2Weigths->ChangeArray1());
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if (!B)
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continuity = GeomAbs_C1;
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}
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// Checks if myFunc->D1 is implemented
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if (continuity == GeomAbs_C1)
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{
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Standard_Boolean B;
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B = myFunc->D1(First,
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First,
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Last,
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myPoles->ChangeArray1(),
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myDPoles->ChangeArray1(),
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myPoles2d->ChangeArray1(),
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myDPoles2d->ChangeArray1(),
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myWeigths->ChangeArray1(),
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myDWeigths->ChangeArray1());
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if (!B)
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continuity = GeomAbs_C0;
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}
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// So that F was at least 20 times more exact than its approx
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myFunc->SetTolerance(Tol3dMin / 20, Tol2d / 20);
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Standard_Integer NbIntervalC2 = myFunc->NbIntervals(GeomAbs_C2);
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Standard_Integer NbIntervalC3 = myFunc->NbIntervals(GeomAbs_C3);
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if (NbIntervalC3 > 1)
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{
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// (3.1) Approximation with preferential cut
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TColStd_Array1OfReal Param_de_decoupeC2(1, NbIntervalC2 + 1);
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myFunc->Intervals(Param_de_decoupeC2, GeomAbs_C2);
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TColStd_Array1OfReal Param_de_decoupeC3(1, NbIntervalC3 + 1);
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myFunc->Intervals(Param_de_decoupeC3, GeomAbs_C3);
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AdvApprox_PrefAndRec Preferentiel(Param_de_decoupeC2, Param_de_decoupeC3);
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Approx_SweepApproximation_Eval ev(*this);
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Approximation(OneDTol,
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TwoDTol,
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ThreeDTol,
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The3D2DTol,
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First,
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Last,
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continuity,
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Degmax,
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Segmax,
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ev,
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Preferentiel);
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}
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else
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{
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// (3.2) Approximation without preferential cut
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AdvApprox_DichoCutting Dichotomie;
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Approx_SweepApproximation_Eval ev(*this);
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Approximation(OneDTol,
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TwoDTol,
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ThreeDTol,
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The3D2DTol,
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First,
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Last,
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continuity,
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Degmax,
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Segmax,
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ev,
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Dichotomie);
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}
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}
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//=================================================================================================
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// function : Approximation
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// purpose : Call F(t) and store the results
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//=================================================================================================
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void Approx_SweepApproximation::Approximation(const Handle(TColStd_HArray1OfReal)& OneDTol,
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const Handle(TColStd_HArray1OfReal)& TwoDTol,
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const Handle(TColStd_HArray1OfReal)& ThreeDTol,
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const Standard_Real BoundTol,
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const Standard_Real First,
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const Standard_Real Last,
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const GeomAbs_Shape Continuity,
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const Standard_Integer Degmax,
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const Standard_Integer Segmax,
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const AdvApprox_EvaluatorFunction& TheApproxFunction,
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const AdvApprox_Cutting& TheCuttingTool)
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{
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AdvApprox_ApproxAFunction Approx(Num1DSS,
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Num2DSS,
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Num3DSS,
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OneDTol,
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TwoDTol,
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ThreeDTol,
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First,
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Last,
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Continuity,
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Degmax,
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Segmax,
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TheApproxFunction,
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TheCuttingTool);
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done = Approx.HasResult();
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if (done)
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{
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// --> Fill Champs of the surface ----
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Standard_Integer ii, jj;
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vdeg = Approx.Degree();
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// Unfortunately Adv_Approx stores the transposition of the required
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// so, writing tabPoles = Approx.Poles() will give an erroneous result
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// It is only possible to allocate and recopy term by term...
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tabPoles = new (TColgp_HArray2OfPnt)(1, Num3DSS, 1, Approx.NbPoles());
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tabWeights = new (TColStd_HArray2OfReal)(1, Num3DSS, 1, Approx.NbPoles());
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if (Num1DSS == Num3DSS)
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{
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Standard_Real wpoid;
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gp_Pnt P;
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for (ii = 1; ii <= Num3DSS; ii++)
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{
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for (jj = 1; jj <= Approx.NbPoles(); jj++)
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{
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P = Approx.Poles()->Value(jj, ii);
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wpoid = Approx.Poles1d()->Value(jj, ii);
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P.ChangeCoord() /= wpoid; // It is necessary to divide poles by weight
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P.Translate(Translation);
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tabPoles->SetValue(ii, jj, P);
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tabWeights->SetValue(ii, jj, wpoid);
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}
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}
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}
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else
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{
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tabWeights->Init(1);
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for (ii = 1; ii <= Num3DSS; ii++)
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{
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for (jj = 1; jj <= Approx.NbPoles(); jj++)
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{
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tabPoles->SetValue(ii, jj, Approx.Poles()->Value(jj, ii));
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}
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}
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}
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// this is better
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tabVKnots = Approx.Knots();
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tabVMults = Approx.Multiplicities();
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// --> Filling of curves 2D ----------
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if (Num2DSS > 0)
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{
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gp_GTrsf2d TrsfInv;
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deg2d = vdeg;
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tab2dKnots = Approx.Knots();
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tab2dMults = Approx.Multiplicities();
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for (ii = 1; ii <= Num2DSS; ii++)
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{
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TrsfInv = AAffin->Value(ii).Inverted();
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Handle(TColgp_HArray1OfPnt2d) P2d = new (TColgp_HArray1OfPnt2d)(1, Approx.NbPoles());
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Approx.Poles2d(ii, P2d->ChangeArray1());
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// do not forget to apply inverted homothety.
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for (jj = 1; jj <= Approx.NbPoles(); jj++)
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{
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TrsfInv.Transforms(P2d->ChangeValue(jj).ChangeCoord());
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}
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seqPoles2d.Append(P2d);
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}
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}
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// ---> Filling of errors
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MError3d = new (TColStd_HArray1OfReal)(1, Num3DSS);
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AError3d = new (TColStd_HArray1OfReal)(1, Num3DSS);
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for (ii = 1; ii <= Num3DSS; ii++)
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{
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MError3d->SetValue(ii, Approx.MaxError(3, ii));
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AError3d->SetValue(ii, Approx.AverageError(3, ii));
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}
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if (myFunc->IsRational())
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{
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MError1d = new (TColStd_HArray1OfReal)(1, Num3DSS);
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AError1d = new (TColStd_HArray1OfReal)(1, Num3DSS);
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for (ii = 1; ii <= Num1DSS; ii++)
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{
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MError1d->SetValue(ii, Approx.MaxError(1, ii));
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AError1d->SetValue(ii, Approx.AverageError(1, ii));
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}
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}
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if (Num2DSS > 0)
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{
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tab2dError = new (TColStd_HArray1OfReal)(1, Num2DSS);
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Ave2dError = new (TColStd_HArray1OfReal)(1, Num2DSS);
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for (ii = 1; ii <= Num2DSS; ii++)
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{
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tab2dError->SetValue(ii, Approx.MaxError(2, ii));
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Ave2dError->SetValue(ii, Approx.AverageError(2, ii));
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COnSurfErr->SetValue(ii, (tab2dError->Value(ii) / TwoDTol->Value(ii)) * BoundTol);
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}
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}
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}
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}
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Standard_Integer Approx_SweepApproximation::Eval(const Standard_Real Parameter,
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const Standard_Integer DerivativeRequest,
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const Standard_Real First,
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const Standard_Real Last,
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Standard_Real& Result)
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{
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Standard_Integer ier = 0;
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switch (DerivativeRequest)
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{
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case 0:
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ier = (!D0(Parameter, First, Last, Result));
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break;
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case 1:
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ier = (!D1(Parameter, First, Last, Result));
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break;
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case 2:
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ier = (!D2(Parameter, First, Last, Result));
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break;
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default:
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ier = 2;
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}
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return ier;
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}
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Standard_Boolean Approx_SweepApproximation::D0(const Standard_Real Param,
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const Standard_Real First,
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const Standard_Real Last,
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Standard_Real& Result)
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{
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Standard_Integer index, ii;
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Standard_Boolean Ok = Standard_True;
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Standard_Real* LocalResult = &Result;
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// Management of limits
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if ((first != First) || (Last != last))
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{
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myFunc->SetInterval(First, Last);
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}
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if (!((Param == myParam) && (myOrder >= 0) && (first == First) && (Last == last)))
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{
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// Positioning in case when the last operation is not repeated.
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Ok = myFunc->D0(Param,
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First,
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Last,
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myPoles->ChangeArray1(),
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myPoles2d->ChangeArray1(),
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myWeigths->ChangeArray1());
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// poles3d are multiplied by weight after translation.
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for (ii = 1; ii <= Num1DSS; ii++)
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{
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myPoles->ChangeValue(ii).ChangeCoord() -= Translation.XYZ();
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myPoles->ChangeValue(ii).ChangeCoord() *= myWeigths->Value(ii);
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}
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// The transformation is applied to poles 2d.
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for (ii = 1; ii <= Num2DSS; ii++)
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{
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AAffin->Value(ii).Transforms(myPoles2d->ChangeValue(ii).ChangeCoord());
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}
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// Update variables of control and return
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first = First;
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last = Last;
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myOrder = 0;
|
|
myParam = Param;
|
|
}
|
|
|
|
// Extraction of results
|
|
index = 0;
|
|
for (ii = 1; ii <= Num1DSS; ii++)
|
|
{
|
|
LocalResult[index] = myWeigths->Value(ii);
|
|
index++;
|
|
}
|
|
for (ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
LocalResult[index] = myPoles2d->Value(ii).X();
|
|
LocalResult[index + 1] = myPoles2d->Value(ii).Y();
|
|
index += 2;
|
|
}
|
|
for (ii = 1; ii <= Num3DSS; ii++, index += 3)
|
|
{
|
|
LocalResult[index] = myPoles->Value(ii).X();
|
|
LocalResult[index + 1] = myPoles->Value(ii).Y();
|
|
LocalResult[index + 2] = myPoles->Value(ii).Z();
|
|
}
|
|
|
|
return Ok;
|
|
}
|
|
|
|
Standard_Boolean Approx_SweepApproximation::D1(const Standard_Real Param,
|
|
const Standard_Real First,
|
|
const Standard_Real Last,
|
|
Standard_Real& Result)
|
|
{
|
|
gp_XY Vcoord;
|
|
gp_Vec Vaux;
|
|
Standard_Integer index, ii;
|
|
Standard_Boolean Ok = Standard_True;
|
|
Standard_Real* LocalResult = &Result;
|
|
|
|
if ((first != First) || (Last != last))
|
|
{
|
|
myFunc->SetInterval(First, Last);
|
|
}
|
|
|
|
if (!((Param == myParam) && (myOrder >= 1) && (first == First) && (Last == last)))
|
|
{
|
|
|
|
// Positioning
|
|
Ok = myFunc->D1(Param,
|
|
First,
|
|
Last,
|
|
myPoles->ChangeArray1(),
|
|
myDPoles->ChangeArray1(),
|
|
myPoles2d->ChangeArray1(),
|
|
myDPoles2d->ChangeArray1(),
|
|
myWeigths->ChangeArray1(),
|
|
myDWeigths->ChangeArray1());
|
|
|
|
// Take into account the multiplication of poles3d by weights.
|
|
// and the translation.
|
|
for (ii = 1; ii <= Num1DSS; ii++)
|
|
{
|
|
// Translation on the section
|
|
myPoles->ChangeValue(ii).ChangeCoord() -= Translation.XYZ();
|
|
// Homothety on all.
|
|
const Standard_Real aWeight = myWeigths->Value(ii);
|
|
myDPoles->ChangeValue(ii) *= aWeight;
|
|
Vaux.SetXYZ(myPoles->Value(ii).Coord());
|
|
myDPoles->ChangeValue(ii) += myDWeigths->Value(ii) * Vaux;
|
|
myPoles->ChangeValue(ii).ChangeCoord() *= aWeight; // for the cash
|
|
}
|
|
|
|
// Apply transformation 2d to suitable vectors
|
|
for (ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
Vcoord = myDPoles2d->Value(ii).XY();
|
|
AAffin->Value(ii).Transforms(Vcoord);
|
|
myDPoles2d->ChangeValue(ii).SetXY(Vcoord);
|
|
AAffin->Value(ii).Transforms(myPoles2d->ChangeValue(ii).ChangeCoord());
|
|
}
|
|
|
|
// Update control variables and return
|
|
first = First;
|
|
last = Last;
|
|
myOrder = 1;
|
|
myParam = Param;
|
|
}
|
|
|
|
// Extraction of results
|
|
index = 0;
|
|
for (ii = 1; ii <= Num1DSS; ii++)
|
|
{
|
|
LocalResult[index] = myDWeigths->Value(ii);
|
|
index++;
|
|
}
|
|
for (ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
LocalResult[index] = myDPoles2d->Value(ii).X();
|
|
LocalResult[index + 1] = myDPoles2d->Value(ii).Y();
|
|
index += 2;
|
|
}
|
|
for (ii = 1; ii <= Num3DSS; ii++, index += 3)
|
|
{
|
|
LocalResult[index] = myDPoles->Value(ii).X();
|
|
LocalResult[index + 1] = myDPoles->Value(ii).Y();
|
|
LocalResult[index + 2] = myDPoles->Value(ii).Z();
|
|
}
|
|
return Ok;
|
|
}
|
|
|
|
Standard_Boolean Approx_SweepApproximation::D2(const Standard_Real Param,
|
|
const Standard_Real First,
|
|
const Standard_Real Last,
|
|
Standard_Real& Result)
|
|
{
|
|
gp_XY Vcoord;
|
|
gp_Vec Vaux;
|
|
Standard_Integer index, ii;
|
|
Standard_Boolean Ok = Standard_True;
|
|
Standard_Real* LocalResult = &Result;
|
|
|
|
// management of limits
|
|
if ((first != First) || (Last != last))
|
|
{
|
|
myFunc->SetInterval(First, Last);
|
|
}
|
|
|
|
if (!((Param == myParam) && (myOrder >= 2) && (first == First) && (Last == last)))
|
|
{
|
|
// Positioning in case when the last operation is not repeated
|
|
Ok = myFunc->D2(Param,
|
|
First,
|
|
Last,
|
|
myPoles->ChangeArray1(),
|
|
myDPoles->ChangeArray1(),
|
|
myD2Poles->ChangeArray1(),
|
|
myPoles2d->ChangeArray1(),
|
|
myDPoles2d->ChangeArray1(),
|
|
myD2Poles2d->ChangeArray1(),
|
|
myWeigths->ChangeArray1(),
|
|
myDWeigths->ChangeArray1(),
|
|
myD2Weigths->ChangeArray1());
|
|
|
|
// Multiply poles3d by the weight after translations.
|
|
for (ii = 1; ii <= Num1DSS; ii++)
|
|
{
|
|
// First translate
|
|
myPoles->ChangeValue(ii).ChangeCoord() -= Translation.XYZ();
|
|
|
|
// Calculate the second derivative
|
|
myD2Poles->ChangeValue(ii) *= myWeigths->Value(ii);
|
|
Vaux.SetXYZ(myDPoles->Value(ii).XYZ());
|
|
myD2Poles->ChangeValue(ii) += (2 * myDWeigths->Value(ii)) * Vaux;
|
|
Vaux.SetXYZ(myPoles->Value(ii).Coord());
|
|
myD2Poles->ChangeValue(ii) += myD2Weigths->Value(ii) * Vaux;
|
|
|
|
// Then the remainder for the cash
|
|
myDPoles->ChangeValue(ii) *= myWeigths->Value(ii);
|
|
Vaux.SetXYZ(myPoles->Value(ii).Coord());
|
|
myDPoles->ChangeValue(ii) += myDWeigths->Value(ii) * Vaux;
|
|
myPoles->ChangeValue(ii).ChangeCoord() *= myWeigths->Value(ii);
|
|
}
|
|
|
|
// Apply transformation to poles 2d.
|
|
for (ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
Vcoord = myD2Poles2d->Value(ii).XY();
|
|
AAffin->Value(ii).Transforms(Vcoord);
|
|
myD2Poles2d->ChangeValue(ii).SetXY(Vcoord);
|
|
Vcoord = myDPoles2d->Value(ii).XY();
|
|
AAffin->Value(ii).Transforms(Vcoord);
|
|
myDPoles2d->ChangeValue(ii).SetXY(Vcoord);
|
|
AAffin->Value(ii).Transforms(myPoles2d->ChangeValue(ii).ChangeCoord());
|
|
}
|
|
|
|
// Update variables of control and return
|
|
first = First;
|
|
last = Last;
|
|
myOrder = 2;
|
|
myParam = Param;
|
|
}
|
|
|
|
// Extraction of results
|
|
index = 0;
|
|
for (ii = 1; ii <= Num1DSS; ii++)
|
|
{
|
|
LocalResult[index] = myD2Weigths->Value(ii);
|
|
index++;
|
|
}
|
|
for (ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
LocalResult[index] = myD2Poles2d->Value(ii).X();
|
|
LocalResult[index + 1] = myD2Poles2d->Value(ii).Y();
|
|
index += 2;
|
|
}
|
|
for (ii = 1; ii <= Num3DSS; ii++, index += 3)
|
|
{
|
|
LocalResult[index] = myD2Poles->Value(ii).X();
|
|
LocalResult[index + 1] = myD2Poles->Value(ii).Y();
|
|
LocalResult[index + 2] = myD2Poles->Value(ii).Z();
|
|
}
|
|
|
|
return Ok;
|
|
}
|
|
|
|
void Approx_SweepApproximation::SurfShape(Standard_Integer& UDegree,
|
|
Standard_Integer& VDegree,
|
|
Standard_Integer& NbUPoles,
|
|
Standard_Integer& NbVPoles,
|
|
Standard_Integer& NbUKnots,
|
|
Standard_Integer& NbVKnots) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
UDegree = udeg;
|
|
VDegree = vdeg;
|
|
NbUPoles = tabPoles->ColLength();
|
|
NbVPoles = tabPoles->RowLength();
|
|
NbUKnots = tabUKnots->Length();
|
|
NbVKnots = tabVKnots->Length();
|
|
}
|
|
|
|
void Approx_SweepApproximation::Surface(TColgp_Array2OfPnt& TPoles,
|
|
TColStd_Array2OfReal& TWeights,
|
|
TColStd_Array1OfReal& TUKnots,
|
|
TColStd_Array1OfReal& TVKnots,
|
|
TColStd_Array1OfInteger& TUMults,
|
|
TColStd_Array1OfInteger& TVMults) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
TPoles = tabPoles->Array2();
|
|
TWeights = tabWeights->Array2();
|
|
TUKnots = tabUKnots->Array1();
|
|
TUMults = tabUMults->Array1();
|
|
TVKnots = tabVKnots->Array1();
|
|
TVMults = tabVMults->Array1();
|
|
}
|
|
|
|
Standard_Real Approx_SweepApproximation::MaxErrorOnSurf() const
|
|
{
|
|
Standard_Integer ii;
|
|
Standard_Real MaxError = 0, err;
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
|
|
if (myFunc->IsRational())
|
|
{
|
|
TColStd_Array1OfReal Wmin(1, Num1DSS);
|
|
myFunc->GetMinimalWeight(Wmin);
|
|
Standard_Real Size = myFunc->MaximalSection();
|
|
for (ii = 1; ii <= Num3DSS; ii++)
|
|
{
|
|
err = (Size * MError1d->Value(ii) + MError3d->Value(ii)) / Wmin(ii);
|
|
if (err > MaxError)
|
|
MaxError = err;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
for (ii = 1; ii <= Num3DSS; ii++)
|
|
{
|
|
err = MError3d->Value(ii);
|
|
if (err > MaxError)
|
|
MaxError = err;
|
|
}
|
|
}
|
|
return MaxError;
|
|
}
|
|
|
|
Standard_Real Approx_SweepApproximation::AverageErrorOnSurf() const
|
|
{
|
|
Standard_Integer ii;
|
|
Standard_Real MoyError = 0, err;
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
|
|
if (myFunc->IsRational())
|
|
{
|
|
TColStd_Array1OfReal Wmin(1, Num1DSS);
|
|
myFunc->GetMinimalWeight(Wmin);
|
|
Standard_Real Size = myFunc->MaximalSection();
|
|
for (ii = 1; ii <= Num3DSS; ii++)
|
|
{
|
|
err = (Size * AError1d->Value(ii) + AError3d->Value(ii)) / Wmin(ii);
|
|
MoyError += err;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
for (ii = 1; ii <= Num3DSS; ii++)
|
|
{
|
|
err = AError3d->Value(ii);
|
|
MoyError += err;
|
|
}
|
|
}
|
|
return MoyError / Num3DSS;
|
|
}
|
|
|
|
void Approx_SweepApproximation::Curves2dShape(Standard_Integer& Degree,
|
|
Standard_Integer& NbPoles,
|
|
Standard_Integer& NbKnots) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
if (seqPoles2d.Length() == 0)
|
|
{
|
|
throw Standard_DomainError("Approx_SweepApproximation");
|
|
}
|
|
Degree = deg2d;
|
|
NbPoles = seqPoles2d(1)->Length();
|
|
NbKnots = tab2dKnots->Length();
|
|
}
|
|
|
|
void Approx_SweepApproximation::Curve2d(const Standard_Integer Index,
|
|
TColgp_Array1OfPnt2d& TPoles,
|
|
TColStd_Array1OfReal& TKnots,
|
|
TColStd_Array1OfInteger& TMults) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
if (seqPoles2d.Length() == 0)
|
|
{
|
|
throw Standard_DomainError("Approx_SweepApproximation");
|
|
}
|
|
TPoles = seqPoles2d(Index)->Array1();
|
|
TKnots = tab2dKnots->Array1();
|
|
TMults = tab2dMults->Array1();
|
|
}
|
|
|
|
Standard_Real Approx_SweepApproximation::Max2dError(const Standard_Integer Index) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
return tab2dError->Value(Index);
|
|
}
|
|
|
|
Standard_Real Approx_SweepApproximation::Average2dError(const Standard_Integer Index) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
return Ave2dError->Value(Index);
|
|
}
|
|
|
|
Standard_Real Approx_SweepApproximation::TolCurveOnSurf(const Standard_Integer Index) const
|
|
{
|
|
if (!done)
|
|
{
|
|
throw StdFail_NotDone("Approx_SweepApproximation");
|
|
}
|
|
return COnSurfErr->Value(Index);
|
|
}
|
|
|
|
void Approx_SweepApproximation::Dump(Standard_OStream& o) const
|
|
{
|
|
o << "Dump of SweepApproximation" << std::endl;
|
|
if (done)
|
|
{
|
|
o << "Error 3d = " << MaxErrorOnSurf() << std::endl;
|
|
|
|
if (Num2DSS > 0)
|
|
{
|
|
o << "Error 2d = ";
|
|
for (Standard_Integer ii = 1; ii <= Num2DSS; ii++)
|
|
{
|
|
o << Max2dError(ii);
|
|
if (ii < Num2DSS)
|
|
o << " , " << std::endl;
|
|
}
|
|
std::cout << std::endl;
|
|
}
|
|
o << tabVKnots->Length() - 1 << " Segment(s) of degree " << vdeg << std::endl;
|
|
}
|
|
else
|
|
std::cout << " Not Done " << std::endl;
|
|
}
|