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Extrema/Extrema_GenExtCC.gxx - estimation of Lipchitz constant is improved Extrema_GlobOptFuncCC.cxx - function value is changed LocOpe/LocOpe_WiresOnShape.cxx - small correction to fix regression lowalgos/extcc/bug32882 - new test case is added some test were updated according new behavior of extrema algo
1117 lines
38 KiB
C++
1117 lines
38 KiB
C++
// 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 <IntTools_WLineTool.hxx>
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#include <BRep_Tool.hxx>
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#include <Extrema_ExtCC.hxx>
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#include <Geom2dAPI_InterCurveCurve.hxx>
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#include <Geom2d_Circle.hxx>
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#include <Geom2d_Line.hxx>
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#include <Geom2d_TrimmedCurve.hxx>
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#include <GeomAPI_ProjectPointOnSurf.hxx>
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#include <GeomAdaptor_Curve.hxx>
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#include <GeomAdaptor_Surface.hxx>
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#include <GeomInt.hxx>
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#include <GeomInt_LineConstructor.hxx>
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#include <Geom_Circle.hxx>
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#include <Geom_Surface.hxx>
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#include <gp_Circ.hxx>
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#include <IntTools_Context.hxx>
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#include <TColStd_Array1OfListOfInteger.hxx>
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#include <TColStd_SequenceOfReal.hxx>
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#include <TColgp_SequenceOfPnt2d.hxx>
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/////////////////////// NotUseSurfacesForApprox /////////////////////////
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// The block is dedicated to determine whether WLine [ifprm, ilprm]
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// crosses the degenerated zone on each given surface or not.
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// If Yes -> We will not use info about surfaces during approximation
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// because inside degenerated zone of the surface the approx. algo.
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// uses wrong values of normal, etc., and resulting curve will have
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// oscillations that we would not like to have.
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//=======================================================================
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//function : IsDegeneratedZone
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//purpose : static subfunction in IsDegeneratedZone
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//=======================================================================
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static
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Standard_Boolean IsDegeneratedZone(const gp_Pnt2d& aP2d,
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const Handle(Geom_Surface)& aS,
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const Standard_Integer iDir)
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{
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Standard_Boolean bFlag=Standard_True;
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Standard_Real US1, US2, VS1, VS2, dY, dX, d1, d2, dD;
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Standard_Real aXm, aYm, aXb, aYb, aXe, aYe;
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aS->Bounds(US1, US2, VS1, VS2);
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gp_Pnt aPm, aPb, aPe;
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aXm=aP2d.X();
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aYm=aP2d.Y();
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aS->D0(aXm, aYm, aPm);
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dX=1.e-5;
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dY=1.e-5;
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dD=1.e-12;
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if (iDir==1) {
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aXb=aXm;
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aXe=aXm;
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aYb=aYm-dY;
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if (aYb < VS1) {
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aYb=VS1;
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}
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aYe=aYm+dY;
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if (aYe > VS2) {
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aYe=VS2;
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}
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aS->D0(aXb, aYb, aPb);
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aS->D0(aXe, aYe, aPe);
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d1=aPm.Distance(aPb);
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d2=aPm.Distance(aPe);
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if (d1 < dD && d2 < dD) {
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return bFlag;
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}
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return !bFlag;
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}
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//
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else if (iDir==2) {
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aYb=aYm;
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aYe=aYm;
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aXb=aXm-dX;
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if (aXb < US1) {
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aXb=US1;
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}
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aXe=aXm+dX;
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if (aXe > US2) {
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aXe=US2;
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}
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aS->D0(aXb, aYb, aPb);
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aS->D0(aXe, aYe, aPe);
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d1=aPm.Distance(aPb);
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d2=aPm.Distance(aPe);
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if (d1 < dD && d2 < dD) {
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return bFlag;
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}
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return !bFlag;
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}
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return !bFlag;
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}
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//=======================================================================
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//function : IsPointInDegeneratedZone
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//purpose : static subfunction in NotUseSurfacesForApprox
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//=======================================================================
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static
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Standard_Boolean IsPointInDegeneratedZone(const IntSurf_PntOn2S& aP2S,
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const TopoDS_Face& aF1,
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const TopoDS_Face& aF2)
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{
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Standard_Boolean bFlag=Standard_True;
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Standard_Real US11, US12, VS11, VS12, US21, US22, VS21, VS22;
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Standard_Real U1, V1, U2, V2, aDelta, aD;
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gp_Pnt2d aP2d;
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Handle(Geom_Surface)aS1 = BRep_Tool::Surface(aF1);
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aS1->Bounds(US11, US12, VS11, VS12);
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GeomAdaptor_Surface aGAS1(aS1);
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Handle(Geom_Surface)aS2 = BRep_Tool::Surface(aF2);
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aS1->Bounds(US21, US22, VS21, VS22);
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GeomAdaptor_Surface aGAS2(aS2);
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//
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//const gp_Pnt& aP=aP2S.Value();
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aP2S.Parameters(U1, V1, U2, V2);
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//
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aDelta=1.e-7;
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// Check on Surf 1
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aD=aGAS1.UResolution(aDelta);
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aP2d.SetCoord(U1, V1);
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if (fabs(U1-US11) < aD) {
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bFlag=IsDegeneratedZone(aP2d, aS1, 1);
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if (bFlag) {
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return bFlag;
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}
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}
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if (fabs(U1-US12) < aD) {
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bFlag=IsDegeneratedZone(aP2d, aS1, 1);
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if (bFlag) {
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return bFlag;
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}
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}
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aD=aGAS1.VResolution(aDelta);
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if (fabs(V1-VS11) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS1, 2);
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if (bFlag) {
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return bFlag;
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}
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}
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if (fabs(V1-VS12) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS1, 2);
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if (bFlag) {
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return bFlag;
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}
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}
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// Check on Surf 2
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aD=aGAS2.UResolution(aDelta);
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aP2d.SetCoord(U2, V2);
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if (fabs(U2-US21) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS2, 1);
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if (bFlag) {
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return bFlag;
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}
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}
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if (fabs(U2-US22) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS2, 1);
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if (bFlag) {
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return bFlag;
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}
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}
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aD=aGAS2.VResolution(aDelta);
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if (fabs(V2-VS21) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS2, 2);
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if (bFlag) {
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return bFlag;
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}
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}
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if (fabs(V2-VS22) < aDelta) {
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bFlag=IsDegeneratedZone(aP2d, aS2, 2);
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if (bFlag) {
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return bFlag;
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}
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}
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return !bFlag;
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}
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//=======================================================================
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//function : NotUseSurfacesForApprox
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//purpose :
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//=======================================================================
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Standard_Boolean IntTools_WLineTool::NotUseSurfacesForApprox(const TopoDS_Face& aF1,
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const TopoDS_Face& aF2,
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const Handle(IntPatch_WLine)& WL,
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const Standard_Integer ifprm,
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const Standard_Integer ilprm)
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{
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Standard_Boolean bPInDZ;
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Handle(IntSurf_LineOn2S) aLineOn2S=WL->Curve();
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const IntSurf_PntOn2S& aP2Sfprm=aLineOn2S->Value(ifprm);
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bPInDZ=IsPointInDegeneratedZone(aP2Sfprm, aF1, aF2);
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if (bPInDZ) {
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return bPInDZ;
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}
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const IntSurf_PntOn2S& aP2Slprm=aLineOn2S->Value(ilprm);
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bPInDZ=IsPointInDegeneratedZone(aP2Slprm, aF1, aF2);
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return bPInDZ;
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}
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/////////////////////// end of NotUseSurfacesForApprox //////////////////
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/////////////////////// DecompositionOfWLine ////////////////////////////
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//=======================================================================
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//function : IsPointOnBoundary
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//purpose : static subfunction in DecompositionOfWLine
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//=======================================================================
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static
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Standard_Boolean IsPointOnBoundary(const Standard_Real theParameter,
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const Standard_Real theFirstBoundary,
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const Standard_Real theSecondBoundary,
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const Standard_Real theResolution,
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Standard_Boolean& IsOnFirstBoundary)
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{
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Standard_Boolean bRet;
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Standard_Integer i;
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Standard_Real adist;
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//
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bRet=Standard_False;
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for(i = 0; i < 2; ++i) {
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IsOnFirstBoundary = (i == 0);
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if (IsOnFirstBoundary) {
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adist = fabs(theParameter - theFirstBoundary);
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}
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else {
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adist = fabs(theParameter - theSecondBoundary);
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}
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if(adist < theResolution) {
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return !bRet;
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}
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}
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return bRet;
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}
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//=======================================================================
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//function : AdjustByNeighbour
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//purpose : static subfunction in DecompositionOfWLine
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//=======================================================================
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static
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gp_Pnt2d AdjustByNeighbour(const gp_Pnt2d& theaNeighbourPoint,
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const gp_Pnt2d& theOriginalPoint,
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Handle(GeomAdaptor_Surface) theGASurface)
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{
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gp_Pnt2d ap1 = theaNeighbourPoint;
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gp_Pnt2d ap2 = theOriginalPoint;
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if ( theGASurface->IsUPeriodic() ) {
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Standard_Real aPeriod = theGASurface->UPeriod();
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gp_Pnt2d aPTest = ap2;
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Standard_Real aSqDistMin = 1.e+100;
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for ( Standard_Integer pIt = -1; pIt <= 1; pIt++) {
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aPTest.SetX( theOriginalPoint.X() + aPeriod * pIt );
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Standard_Real dd = ap1.SquareDistance( aPTest );
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if ( dd < aSqDistMin ) {
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ap2 = aPTest;
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aSqDistMin = dd;
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}
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}
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}
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if ( theGASurface->IsVPeriodic() ) {
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Standard_Real aPeriod = theGASurface->VPeriod();
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gp_Pnt2d aPTest = ap2;
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Standard_Real aSqDistMin = 1.e+100;
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for ( Standard_Integer pIt = -1; pIt <= 1; pIt++) {
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aPTest.SetY( theOriginalPoint.Y() + aPeriod * pIt );
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Standard_Real dd = ap1.SquareDistance( aPTest );
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if ( dd < aSqDistMin ) {
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ap2 = aPTest;
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aSqDistMin = dd;
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}
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}
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}
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return ap2;
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}
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//=======================================================================
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//function : RefineVector
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//purpose : static subfunction in FindPoint
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//=======================================================================
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static
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void RefineVector(gp_Vec2d& aV2D)
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{
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Standard_Integer k,m;
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Standard_Real aC[2], aEps, aR1, aR2, aNum;
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//
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aEps=RealEpsilon();
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aR1=1.-aEps;
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aR2=1.+aEps;
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//
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aV2D.Coord(aC[0], aC[1]);
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//
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for (k=0; k<2; ++k) {
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m=(k+1)%2;
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aNum=fabs(aC[k]);
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if (aNum>aR1 && aNum<aR2) {
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if (aC[k]<0.) {
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aC[k]=-1.;
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}
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else {
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aC[k]=1.;
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}
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aC[m]=0.;
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break;
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}
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}
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aV2D.SetCoord(aC[0], aC[1]);
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}
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//=======================================================================
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//function : FindPoint
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//purpose : static subfunction in DecompositionOfWLine
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//=======================================================================
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static
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Standard_Boolean FindPoint(const gp_Pnt2d& theFirstPoint,
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const gp_Pnt2d& theLastPoint,
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const Standard_Real theUmin,
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const Standard_Real theUmax,
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const Standard_Real theVmin,
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const Standard_Real theVmax,
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gp_Pnt2d& theNewPoint)
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{
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gp_Vec2d aVec(theFirstPoint, theLastPoint);
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Standard_Integer i = 0, j = 0;
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for(i = 0; i < 4; i++) {
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gp_Vec2d anOtherVec;
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gp_Vec2d anOtherVecNormal;
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gp_Pnt2d aprojpoint = theLastPoint;
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if((i % 2) == 0) {
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anOtherVec.SetX(0.);
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anOtherVec.SetY(1.);
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anOtherVecNormal.SetX(1.);
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anOtherVecNormal.SetY(0.);
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if(i < 2)
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aprojpoint.SetX(theUmin);
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else
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aprojpoint.SetX(theUmax);
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}
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else {
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anOtherVec.SetX(1.);
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anOtherVec.SetY(0.);
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anOtherVecNormal.SetX(0.);
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anOtherVecNormal.SetY(1.);
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if(i < 2)
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aprojpoint.SetY(theVmin);
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else
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aprojpoint.SetY(theVmax);
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}
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gp_Vec2d anormvec = aVec;
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anormvec.Normalize();
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RefineVector(anormvec);
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Standard_Real adot1 = anormvec.Dot(anOtherVecNormal);
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if(fabs(adot1) < Precision::Angular())
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continue;
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Standard_Real adist = 0.;
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Standard_Boolean bIsOut = Standard_False;
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if((i % 2) == 0) {
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adist = (i < 2) ? fabs(theLastPoint.X() - theUmin) : fabs(theLastPoint.X() - theUmax);
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bIsOut = (i < 2) ? (theLastPoint.X() < theUmin) : (theLastPoint.X() > theUmax);
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}
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else {
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adist = (i < 2) ? fabs(theLastPoint.Y() - theVmin) : fabs(theLastPoint.Y() - theVmax);
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bIsOut = (i < 2) ? (theLastPoint.Y() < theVmin) : (theLastPoint.Y() > theVmax);
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}
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Standard_Real anoffset = adist * anOtherVec.Dot(anormvec) / adot1;
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for(j = 0; j < 2; j++) {
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anoffset = (j == 0) ? anoffset : -anoffset;
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gp_Pnt2d acurpoint(aprojpoint.XY() + (anOtherVec.XY()*anoffset));
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gp_Vec2d acurvec(theLastPoint, acurpoint);
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if ( bIsOut )
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acurvec.Reverse();
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Standard_Real aDotX, anAngleX;
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//
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aDotX = aVec.Dot(acurvec);
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anAngleX = aVec.Angle(acurvec);
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//
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if(aDotX > 0. && fabs(anAngleX) < Precision::PConfusion()) {
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if((i % 2) == 0) {
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if((acurpoint.Y() >= theVmin) &&
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(acurpoint.Y() <= theVmax)) {
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theNewPoint = acurpoint;
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return Standard_True;
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}
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}
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else {
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if((acurpoint.X() >= theUmin) &&
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(acurpoint.X() <= theUmax)) {
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theNewPoint = acurpoint;
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return Standard_True;
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}
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}
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}
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}
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}
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return Standard_False;
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}
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//=======================================================================
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//function : DecompositionOfWLine
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//purpose :
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//=======================================================================
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Standard_Boolean IntTools_WLineTool::
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DecompositionOfWLine(const Handle(IntPatch_WLine)& theWLine,
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const Handle(GeomAdaptor_Surface)& theSurface1,
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const Handle(GeomAdaptor_Surface)& theSurface2,
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const TopoDS_Face& theFace1,
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const TopoDS_Face& theFace2,
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const GeomInt_LineConstructor& theLConstructor,
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const Standard_Boolean theAvoidLConstructor,
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const Standard_Real theTol,
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IntPatch_SequenceOfLine& theNewLines,
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const Handle(IntTools_Context)& aContext)
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{
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Standard_Boolean bRet, bAvoidLineConstructor;
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Standard_Integer aNbPnts, aNbParts;
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//
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bRet=Standard_False;
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aNbPnts=theWLine->NbPnts();
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bAvoidLineConstructor=theAvoidLConstructor;
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//
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if(!aNbPnts){
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return bRet;
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}
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if (!bAvoidLineConstructor) {
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aNbParts=theLConstructor.NbParts();
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if (!aNbParts) {
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return bRet;
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}
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}
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//
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Standard_Boolean bIsPrevPointOnBoundary, bIsPointOnBoundary, bIsCurrentPointOnBoundary;
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Standard_Integer nblines, pit, i, j;
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Standard_Real aTol;
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TColStd_Array1OfListOfInteger anArrayOfLines(1, aNbPnts);
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TColStd_Array1OfInteger anArrayOfLineType(1, aNbPnts);
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TColStd_ListOfInteger aListOfPointIndex;
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//
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nblines=0;
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aTol=Precision::Confusion();
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aTol=0.5*aTol;
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bIsPrevPointOnBoundary=Standard_False;
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bIsPointOnBoundary=Standard_False;
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//
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// 1. ...
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|
//
|
|
// Points
|
|
for(pit = 1; pit <= aNbPnts; ++pit) {
|
|
Standard_Boolean bIsOnFirstBoundary, isperiodic;
|
|
Standard_Real aResolution, aPeriod, alowerboundary, aupperboundary, U, V;
|
|
Standard_Real aParameter, anoffset, anAdjustPar;
|
|
Standard_Real umin, umax, vmin, vmax;
|
|
//
|
|
bIsCurrentPointOnBoundary = Standard_False;
|
|
const IntSurf_PntOn2S& aPoint = theWLine->Point(pit);
|
|
//
|
|
// Surface
|
|
for(i = 0; i < 2; ++i) {
|
|
Handle(GeomAdaptor_Surface) aGASurface = (!i) ? theSurface1 : theSurface2;
|
|
aGASurface->Surface()->Bounds(umin, umax, vmin, vmax);
|
|
if(!i) {
|
|
aPoint.ParametersOnS1(U, V);
|
|
}
|
|
else {
|
|
aPoint.ParametersOnS2(U, V);
|
|
}
|
|
// U, V
|
|
for(j = 0; j < 2; j++) {
|
|
isperiodic = (!j) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
|
|
if(!isperiodic){
|
|
continue;
|
|
}
|
|
//
|
|
if (!j) {
|
|
aResolution=aGASurface->UResolution(aTol);
|
|
aPeriod=aGASurface->UPeriod();
|
|
alowerboundary=umin;
|
|
aupperboundary=umax;
|
|
aParameter=U;
|
|
}
|
|
else {
|
|
aResolution=aGASurface->VResolution(aTol);
|
|
aPeriod=aGASurface->VPeriod();
|
|
alowerboundary=vmin;
|
|
aupperboundary=vmax;
|
|
aParameter=V;
|
|
}
|
|
|
|
GeomInt::AdjustPeriodic(aParameter,
|
|
alowerboundary,
|
|
aupperboundary,
|
|
aPeriod,
|
|
anAdjustPar,
|
|
anoffset);
|
|
//
|
|
bIsOnFirstBoundary = Standard_True;// ?
|
|
bIsPointOnBoundary=
|
|
IsPointOnBoundary(anAdjustPar,
|
|
alowerboundary,
|
|
aupperboundary,
|
|
aResolution,
|
|
bIsOnFirstBoundary);
|
|
//
|
|
if(bIsPointOnBoundary) {
|
|
bIsCurrentPointOnBoundary = Standard_True;
|
|
break;
|
|
}
|
|
}//for(j = 0; j < 2; j++) {
|
|
|
|
if(bIsCurrentPointOnBoundary){
|
|
break;
|
|
}
|
|
}//for(i = 0; i < 2; ++i) {
|
|
//
|
|
if((bIsCurrentPointOnBoundary != bIsPrevPointOnBoundary)) {
|
|
if(!aListOfPointIndex.IsEmpty()) {
|
|
nblines++;
|
|
anArrayOfLines.SetValue(nblines, aListOfPointIndex);
|
|
anArrayOfLineType.SetValue(nblines, bIsPrevPointOnBoundary);
|
|
aListOfPointIndex.Clear();
|
|
}
|
|
bIsPrevPointOnBoundary = bIsCurrentPointOnBoundary;
|
|
}
|
|
aListOfPointIndex.Append(pit);
|
|
} //for(pit = 1; pit <= aNbPnts; ++pit) {
|
|
//
|
|
if(!aListOfPointIndex.IsEmpty()) {
|
|
nblines++;
|
|
anArrayOfLines.SetValue(nblines, aListOfPointIndex);
|
|
anArrayOfLineType.SetValue(nblines, bIsPrevPointOnBoundary);
|
|
aListOfPointIndex.Clear();
|
|
}
|
|
//
|
|
if(nblines<=1) {
|
|
return bRet; //Standard_False;
|
|
}
|
|
//
|
|
//
|
|
// 2. Correct wlines.begin
|
|
TColStd_Array1OfListOfInteger anArrayOfLineEnds(1, nblines);
|
|
Handle(IntSurf_LineOn2S) aSeqOfPntOn2S = new IntSurf_LineOn2S();
|
|
//
|
|
for(i = 1; i <= nblines; i++) {
|
|
if(anArrayOfLineType.Value(i) != 0) {
|
|
continue;
|
|
}
|
|
const TColStd_ListOfInteger& aListOfIndex = anArrayOfLines.Value(i);
|
|
TColStd_ListOfInteger aListOfFLIndex;
|
|
|
|
for(j = 0; j < 2; j++) {
|
|
Standard_Integer aneighbourindex = (j == 0) ? (i - 1) : (i + 1);
|
|
|
|
if((aneighbourindex < 1) || (aneighbourindex > nblines))
|
|
continue;
|
|
|
|
if(anArrayOfLineType.Value(aneighbourindex) == 0)
|
|
continue;
|
|
const TColStd_ListOfInteger& aNeighbour = anArrayOfLines.Value(aneighbourindex);
|
|
Standard_Integer anIndex = (j == 0) ? aNeighbour.Last() : aNeighbour.First();
|
|
const IntSurf_PntOn2S& aPoint = theWLine->Point(anIndex);
|
|
|
|
IntSurf_PntOn2S aNewP = aPoint;
|
|
if(aListOfIndex.Extent() < 2) {
|
|
aSeqOfPntOn2S->Add(aNewP);
|
|
aListOfFLIndex.Append(aSeqOfPntOn2S->NbPoints());
|
|
continue;
|
|
}
|
|
//
|
|
Standard_Integer iFirst = aListOfIndex.First();
|
|
Standard_Integer iLast = aListOfIndex.Last();
|
|
//
|
|
for(Standard_Integer surfit = 0; surfit < 2; surfit++) {
|
|
|
|
Handle(GeomAdaptor_Surface) aGASurface = (surfit == 0) ? theSurface1 : theSurface2;
|
|
Standard_Real umin=0., umax=0., vmin=0., vmax=0.;
|
|
aGASurface->Surface()->Bounds(umin, umax, vmin, vmax);
|
|
Standard_Real U=0., V=0.;
|
|
|
|
if(surfit == 0)
|
|
aNewP.ParametersOnS1(U, V);
|
|
else
|
|
aNewP.ParametersOnS2(U, V);
|
|
Standard_Integer nbboundaries = 0;
|
|
|
|
Standard_Boolean bIsNearBoundary = Standard_False;
|
|
//Standard_Integer aZoneIndex = 0;
|
|
Standard_Integer bIsUBoundary = Standard_False; // use if nbboundaries == 1
|
|
Standard_Integer bIsFirstBoundary = Standard_False; // use if nbboundaries == 1
|
|
|
|
|
|
for(Standard_Integer parit = 0; parit < 2; parit++) {
|
|
Standard_Boolean isperiodic = (parit == 0) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
|
|
|
|
Standard_Real aResolution = (parit == 0) ? aGASurface->UResolution(aTol) : aGASurface->VResolution(aTol);
|
|
Standard_Real alowerboundary = (parit == 0) ? umin : vmin;
|
|
Standard_Real aupperboundary = (parit == 0) ? umax : vmax;
|
|
|
|
Standard_Real aParameter = (parit == 0) ? U : V;
|
|
Standard_Boolean bIsOnFirstBoundary = Standard_True;
|
|
|
|
if(!isperiodic) {
|
|
bIsPointOnBoundary=
|
|
IsPointOnBoundary(aParameter, alowerboundary, aupperboundary, aResolution, bIsOnFirstBoundary);
|
|
if(bIsPointOnBoundary) {
|
|
bIsUBoundary = (parit == 0);
|
|
bIsFirstBoundary = bIsOnFirstBoundary;
|
|
nbboundaries++;
|
|
}
|
|
}
|
|
else {
|
|
Standard_Real aPeriod = (parit == 0) ? aGASurface->UPeriod() : aGASurface->VPeriod();
|
|
Standard_Real anoffset, anAdjustPar;
|
|
GeomInt::AdjustPeriodic(aParameter, alowerboundary, aupperboundary,
|
|
aPeriod, anAdjustPar, anoffset);
|
|
|
|
bIsPointOnBoundary=
|
|
IsPointOnBoundary(anAdjustPar, alowerboundary, aupperboundary, aResolution, bIsOnFirstBoundary);
|
|
if(bIsPointOnBoundary) {
|
|
bIsUBoundary = (parit == 0);
|
|
bIsFirstBoundary = bIsOnFirstBoundary;
|
|
nbboundaries++;
|
|
}
|
|
else {
|
|
//check neighbourhood of boundary
|
|
Standard_Real anEpsilon = aResolution * 100.;
|
|
Standard_Real aPart = ( aupperboundary - alowerboundary ) * 0.1;
|
|
anEpsilon = ( anEpsilon > aPart ) ? aPart : anEpsilon;
|
|
|
|
bIsNearBoundary = IsPointOnBoundary(anAdjustPar, alowerboundary, aupperboundary,
|
|
anEpsilon, bIsOnFirstBoundary);
|
|
|
|
}
|
|
}
|
|
}
|
|
|
|
Standard_Boolean bComputeLineEnd = Standard_False;
|
|
|
|
if(nbboundaries == 2) {
|
|
//xf
|
|
bComputeLineEnd = Standard_True;
|
|
//xt
|
|
}
|
|
else if(nbboundaries == 1) {
|
|
Standard_Boolean isperiodic = (bIsUBoundary) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
|
|
|
|
if(isperiodic) {
|
|
Standard_Real alowerboundary = (bIsUBoundary) ? umin : vmin;
|
|
Standard_Real aupperboundary = (bIsUBoundary) ? umax : vmax;
|
|
Standard_Real aPeriod = (bIsUBoundary) ? aGASurface->UPeriod() : aGASurface->VPeriod();
|
|
Standard_Real aParameter = (bIsUBoundary) ? U : V;
|
|
Standard_Real anoffset, anAdjustPar;
|
|
GeomInt::AdjustPeriodic(aParameter, alowerboundary, aupperboundary,
|
|
aPeriod, anAdjustPar, anoffset);
|
|
|
|
Standard_Real adist = (bIsFirstBoundary) ? fabs(anAdjustPar - alowerboundary) : fabs(anAdjustPar - aupperboundary);
|
|
Standard_Real anotherPar = (bIsFirstBoundary) ? (aupperboundary - adist) : (alowerboundary + adist);
|
|
anotherPar += anoffset;
|
|
Standard_Integer aneighbourpointindex = (j == 0) ? aListOfIndex.First() : aListOfIndex.Last();
|
|
const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneighbourpointindex);
|
|
Standard_Real nU1, nV1;
|
|
|
|
if(surfit == 0)
|
|
aNeighbourPoint.ParametersOnS1(nU1, nV1);
|
|
else
|
|
aNeighbourPoint.ParametersOnS2(nU1, nV1);
|
|
|
|
Standard_Real adist1 = (bIsUBoundary) ? fabs(nU1 - U) : fabs(nV1 - V);
|
|
Standard_Real adist2 = (bIsUBoundary) ? fabs(nU1 - anotherPar) : fabs(nV1 - anotherPar);
|
|
bComputeLineEnd = Standard_True;
|
|
Standard_Boolean bCheckAngle1 = Standard_False;
|
|
Standard_Boolean bCheckAngle2 = Standard_False;
|
|
gp_Vec2d aNewVec;
|
|
Standard_Real anewU = (bIsUBoundary) ? anotherPar : U;
|
|
Standard_Real anewV = (bIsUBoundary) ? V : anotherPar;
|
|
|
|
if(((adist1 - adist2) > Precision::PConfusion()) &&
|
|
(adist2 < (aPeriod / 4.))) {
|
|
bCheckAngle1 = Standard_True;
|
|
aNewVec = gp_Vec2d(gp_Pnt2d(nU1, nV1), gp_Pnt2d(anewU, anewV));
|
|
|
|
if(aNewVec.SquareMagnitude() < gp::Resolution()) {
|
|
aNewP.SetValue((surfit == 0), anewU, anewV);
|
|
bCheckAngle1 = Standard_False;
|
|
}
|
|
}
|
|
else if(adist1 < (aPeriod / 4.)) {
|
|
bCheckAngle2 = Standard_True;
|
|
aNewVec = gp_Vec2d(gp_Pnt2d(nU1, nV1), gp_Pnt2d(U, V));
|
|
|
|
if(aNewVec.SquareMagnitude() < gp::Resolution()) {
|
|
bCheckAngle2 = Standard_False;
|
|
}
|
|
}
|
|
|
|
if(bCheckAngle1 || bCheckAngle2) {
|
|
// assume there are at least two points in line (see "if" above)
|
|
Standard_Integer anindexother = aneighbourpointindex;
|
|
|
|
while((anindexother <= iLast) && (anindexother >= iFirst)) {
|
|
anindexother = (j == 0) ? (anindexother + 1) : (anindexother - 1);
|
|
const IntSurf_PntOn2S& aPrevNeighbourPoint = theWLine->Point(anindexother);
|
|
Standard_Real nU2, nV2;
|
|
|
|
if(surfit == 0)
|
|
aPrevNeighbourPoint.ParametersOnS1(nU2, nV2);
|
|
else
|
|
aPrevNeighbourPoint.ParametersOnS2(nU2, nV2);
|
|
gp_Vec2d aVecOld(gp_Pnt2d(nU2, nV2), gp_Pnt2d(nU1, nV1));
|
|
|
|
if(aVecOld.SquareMagnitude() <= gp::Resolution()) {
|
|
continue;
|
|
}
|
|
else {
|
|
Standard_Real anAngle = aNewVec.Angle(aVecOld);
|
|
|
|
if((fabs(anAngle) < (M_PI * 0.25)) && (aNewVec.Dot(aVecOld) > 0.)) {
|
|
|
|
if(bCheckAngle1) {
|
|
Standard_Real U1, U2, V1, V2;
|
|
IntSurf_PntOn2S atmppoint = aNewP;
|
|
atmppoint.SetValue((surfit == 0), anewU, anewV);
|
|
atmppoint.Parameters(U1, V1, U2, V2);
|
|
gp_Pnt P1 = theSurface1->Value(U1, V1);
|
|
gp_Pnt P2 = theSurface2->Value(U2, V2);
|
|
gp_Pnt P0 = aPoint.Value();
|
|
|
|
if(P0.IsEqual(P1, aTol) &&
|
|
P0.IsEqual(P2, aTol) &&
|
|
P1.IsEqual(P2, aTol)) {
|
|
bComputeLineEnd = Standard_False;
|
|
aNewP.SetValue((surfit == 0), anewU, anewV);
|
|
}
|
|
}
|
|
|
|
if(bCheckAngle2) {
|
|
bComputeLineEnd = Standard_False;
|
|
}
|
|
}
|
|
break;
|
|
}
|
|
} // end while(anindexother...)
|
|
}
|
|
}
|
|
}
|
|
else if ( bIsNearBoundary ) {
|
|
bComputeLineEnd = Standard_True;
|
|
}
|
|
|
|
if(bComputeLineEnd) {
|
|
|
|
gp_Pnt2d anewpoint;
|
|
Standard_Boolean found = Standard_False;
|
|
|
|
if ( bIsNearBoundary ) {
|
|
// re-compute point near natural boundary or near tangent zone
|
|
Standard_Real u1, v1, u2, v2;
|
|
aNewP.Parameters( u1, v1, u2, v2 );
|
|
if(surfit == 0)
|
|
anewpoint = gp_Pnt2d( u1, v1 );
|
|
else
|
|
anewpoint = gp_Pnt2d( u2, v2 );
|
|
|
|
Standard_Integer aneighbourpointindex1 = (j == 0) ? iFirst : iLast;
|
|
const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneighbourpointindex1);
|
|
Standard_Real nU1, nV1;
|
|
|
|
if(surfit == 0)
|
|
aNeighbourPoint.ParametersOnS1(nU1, nV1);
|
|
else
|
|
aNeighbourPoint.ParametersOnS2(nU1, nV1);
|
|
gp_Pnt2d ap1(nU1, nV1);
|
|
gp_Pnt2d ap2;
|
|
|
|
if ( aGASurface->IsUPeriodic() || aGASurface->IsVPeriodic() ) {
|
|
// re-compute point near boundary if shifted on a period
|
|
ap2 = AdjustByNeighbour( ap1, anewpoint, aGASurface );
|
|
|
|
if ( ( ap2.X() < umin ) || ( ap2.X() > umax ) ||
|
|
( ap2.Y() < vmin ) || ( ap2.Y() > vmax ) ) {
|
|
found = FindPoint(ap1, ap2, umin, umax, vmin, vmax, anewpoint);
|
|
}
|
|
else {
|
|
anewpoint = ap2;
|
|
aNewP.SetValue( (surfit == 0), anewpoint.X(), anewpoint.Y() );
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
|
|
Standard_Integer aneighbourpointindex1 = (j == 0) ? iFirst : iLast;
|
|
const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneighbourpointindex1);
|
|
Standard_Real nU1, nV1;
|
|
|
|
if(surfit == 0)
|
|
aNeighbourPoint.ParametersOnS1(nU1, nV1);
|
|
else
|
|
aNeighbourPoint.ParametersOnS2(nU1, nV1);
|
|
gp_Pnt2d ap1(nU1, nV1);
|
|
gp_Pnt2d ap2(nU1, nV1);
|
|
Standard_Integer aneighbourpointindex2 = aneighbourpointindex1;
|
|
|
|
while((aneighbourpointindex2 <= iLast) && (aneighbourpointindex2 >= iFirst)) {
|
|
aneighbourpointindex2 = (j == 0) ? (aneighbourpointindex2 + 1) : (aneighbourpointindex2 - 1);
|
|
const IntSurf_PntOn2S& aPrevNeighbourPoint = theWLine->Point(aneighbourpointindex2);
|
|
Standard_Real nU2, nV2;
|
|
|
|
if(surfit == 0)
|
|
aPrevNeighbourPoint.ParametersOnS1(nU2, nV2);
|
|
else
|
|
aPrevNeighbourPoint.ParametersOnS2(nU2, nV2);
|
|
ap2.SetX(nU2);
|
|
ap2.SetY(nV2);
|
|
|
|
if(ap1.SquareDistance(ap2) > gp::Resolution()) {
|
|
break;
|
|
}
|
|
}
|
|
found = FindPoint(ap2, ap1, umin, umax, vmin, vmax, anewpoint);
|
|
}
|
|
|
|
if(found) {
|
|
// check point
|
|
Standard_Real aCriteria = theTol;
|
|
GeomAPI_ProjectPointOnSurf& aProjector =
|
|
(surfit == 0) ? aContext->ProjPS(theFace2) : aContext->ProjPS(theFace1);
|
|
Handle(GeomAdaptor_Surface) aSurface = (surfit == 0) ? theSurface1 : theSurface2;
|
|
|
|
Handle(GeomAdaptor_Surface) aSurfaceOther = (surfit == 0) ? theSurface2 : theSurface1;
|
|
|
|
gp_Pnt aP3d = aSurface->Value(anewpoint.X(), anewpoint.Y());
|
|
aProjector.Perform(aP3d);
|
|
|
|
if(aProjector.IsDone()) {
|
|
if(aProjector.LowerDistance() < aCriteria) {
|
|
Standard_Real foundU = U, foundV = V;
|
|
aProjector.LowerDistanceParameters(foundU, foundV);
|
|
|
|
//Correction of projected coordinates. Begin
|
|
//Note, it may be shifted on a period
|
|
Standard_Integer aneindex1 = (j == 0) ? iFirst : iLast;
|
|
const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneindex1);
|
|
Standard_Real nUn, nVn;
|
|
|
|
if(surfit == 0)
|
|
aNeighbourPoint.ParametersOnS2(nUn, nVn);
|
|
else
|
|
aNeighbourPoint.ParametersOnS1(nUn, nVn);
|
|
gp_Pnt2d aNeighbour2d(nUn, nVn);
|
|
gp_Pnt2d anAdjustedPoint = AdjustByNeighbour( aNeighbour2d, gp_Pnt2d(foundU, foundV), aSurfaceOther );
|
|
foundU = anAdjustedPoint.X();
|
|
foundV = anAdjustedPoint.Y();
|
|
|
|
if ( ( anAdjustedPoint.X() < umin ) && ( anAdjustedPoint.X() > umax ) &&
|
|
( anAdjustedPoint.Y() < vmin ) && ( anAdjustedPoint.Y() > vmax ) ) {
|
|
// attempt to roughly re-compute point
|
|
foundU = ( foundU < umin ) ? umin : foundU;
|
|
foundU = ( foundU > umax ) ? umax : foundU;
|
|
foundV = ( foundV < vmin ) ? vmin : foundV;
|
|
foundV = ( foundV > vmax ) ? vmax : foundV;
|
|
|
|
GeomAPI_ProjectPointOnSurf& aProjector2 =
|
|
(surfit == 0) ? aContext->ProjPS(theFace1) : aContext->ProjPS(theFace2);
|
|
|
|
aP3d = aSurfaceOther->Value(foundU, foundV);
|
|
aProjector2.Perform(aP3d);
|
|
|
|
if(aProjector2.IsDone()) {
|
|
if(aProjector2.LowerDistance() < aCriteria) {
|
|
Standard_Real foundU2 = anewpoint.X(), foundV2 = anewpoint.Y();
|
|
aProjector2.LowerDistanceParameters(foundU2, foundV2);
|
|
anewpoint.SetX(foundU2);
|
|
anewpoint.SetY(foundV2);
|
|
}
|
|
}
|
|
}
|
|
//Correction of projected coordinates. End
|
|
|
|
if(surfit == 0)
|
|
aNewP.SetValue(aP3d, anewpoint.X(), anewpoint.Y(), foundU, foundV);
|
|
else
|
|
aNewP.SetValue(aP3d, foundU, foundV, anewpoint.X(), anewpoint.Y());
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
aSeqOfPntOn2S->Add(aNewP);
|
|
aListOfFLIndex.Append(aSeqOfPntOn2S->NbPoints());
|
|
}
|
|
anArrayOfLineEnds.SetValue(i, aListOfFLIndex);
|
|
}
|
|
// Correct wlines.end
|
|
|
|
// Split wlines.begin
|
|
Standard_Integer nbiter;
|
|
//
|
|
nbiter=1;
|
|
if (!bAvoidLineConstructor) {
|
|
nbiter=theLConstructor.NbParts();
|
|
}
|
|
//
|
|
for(j = 1; j <= nbiter; ++j) {
|
|
Standard_Real fprm, lprm;
|
|
Standard_Integer ifprm, ilprm;
|
|
//
|
|
if(bAvoidLineConstructor) {
|
|
ifprm = 1;
|
|
ilprm = theWLine->NbPnts();
|
|
}
|
|
else {
|
|
theLConstructor.Part(j, fprm, lprm);
|
|
ifprm = (Standard_Integer)fprm;
|
|
ilprm = (Standard_Integer)lprm;
|
|
}
|
|
|
|
Handle(IntSurf_LineOn2S) aLineOn2S = new IntSurf_LineOn2S();
|
|
//
|
|
for(i = 1; i <= nblines; i++) {
|
|
if(anArrayOfLineType.Value(i) != 0) {
|
|
continue;
|
|
}
|
|
const TColStd_ListOfInteger& aListOfIndex = anArrayOfLines.Value(i);
|
|
const TColStd_ListOfInteger& aListOfFLIndex = anArrayOfLineEnds.Value(i);
|
|
Standard_Boolean bhasfirstpoint = (aListOfFLIndex.Extent() == 2);
|
|
Standard_Boolean bhaslastpoint = (aListOfFLIndex.Extent() == 2);
|
|
|
|
if(!bhasfirstpoint && !aListOfFLIndex.IsEmpty()) {
|
|
bhasfirstpoint = (i != 1);
|
|
}
|
|
|
|
if(!bhaslastpoint && !aListOfFLIndex.IsEmpty()) {
|
|
bhaslastpoint = (i != nblines);
|
|
}
|
|
|
|
Standard_Integer iFirst = aListOfIndex.First();
|
|
Standard_Integer iLast = aListOfIndex.Last();
|
|
Standard_Boolean bIsFirstInside = ((ifprm >= iFirst) && (ifprm <= iLast));
|
|
Standard_Boolean bIsLastInside = ((ilprm >= iFirst) && (ilprm <= iLast));
|
|
|
|
if(!bIsFirstInside && !bIsLastInside) {
|
|
if((ifprm < iFirst) && (ilprm > iLast)) {
|
|
// append whole line, and boundaries if necessary
|
|
if(bhasfirstpoint) {
|
|
pit = aListOfFLIndex.First();
|
|
const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
TColStd_ListIteratorOfListOfInteger anIt(aListOfIndex);
|
|
|
|
for(; anIt.More(); anIt.Next()) {
|
|
pit = anIt.Value();
|
|
const IntSurf_PntOn2S& aP = theWLine->Point(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
|
|
if(bhaslastpoint) {
|
|
pit = aListOfFLIndex.Last();
|
|
const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
|
|
// check end of split line (end is almost always)
|
|
Standard_Integer aneighbour = i + 1;
|
|
Standard_Boolean bIsEndOfLine = Standard_True;
|
|
|
|
if(aneighbour <= nblines) {
|
|
const TColStd_ListOfInteger& aListOfNeighbourIndex = anArrayOfLines.Value(aneighbour);
|
|
|
|
if((anArrayOfLineType.Value(aneighbour) != 0) &&
|
|
(aListOfNeighbourIndex.IsEmpty())) {
|
|
bIsEndOfLine = Standard_False;
|
|
}
|
|
}
|
|
|
|
if(bIsEndOfLine) {
|
|
if(aLineOn2S->NbPoints() > 1) {
|
|
Handle(IntPatch_WLine) aNewWLine =
|
|
new IntPatch_WLine(aLineOn2S, Standard_False);
|
|
aNewWLine->SetCreatingWayInfo(theWLine->GetCreatingWay());
|
|
theNewLines.Append(aNewWLine);
|
|
}
|
|
aLineOn2S = new IntSurf_LineOn2S();
|
|
}
|
|
}
|
|
continue;
|
|
}
|
|
// end if(!bIsFirstInside && !bIsLastInside)
|
|
|
|
if(bIsFirstInside && bIsLastInside) {
|
|
// append inside points between ifprm and ilprm
|
|
TColStd_ListIteratorOfListOfInteger anIt(aListOfIndex);
|
|
|
|
for(; anIt.More(); anIt.Next()) {
|
|
pit = anIt.Value();
|
|
if((pit < ifprm) || (pit > ilprm))
|
|
continue;
|
|
const IntSurf_PntOn2S& aP = theWLine->Point(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
}
|
|
else {
|
|
|
|
if(bIsFirstInside) {
|
|
// append points from ifprm to last point + boundary point
|
|
TColStd_ListIteratorOfListOfInteger anIt(aListOfIndex);
|
|
|
|
for(; anIt.More(); anIt.Next()) {
|
|
pit = anIt.Value();
|
|
if(pit < ifprm)
|
|
continue;
|
|
const IntSurf_PntOn2S& aP = theWLine->Point(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
|
|
if(bhaslastpoint) {
|
|
pit = aListOfFLIndex.Last();
|
|
const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
// check end of split line (end is almost always)
|
|
Standard_Integer aneighbour = i + 1;
|
|
Standard_Boolean bIsEndOfLine = Standard_True;
|
|
|
|
if(aneighbour <= nblines) {
|
|
const TColStd_ListOfInteger& aListOfNeighbourIndex = anArrayOfLines.Value(aneighbour);
|
|
|
|
if((anArrayOfLineType.Value(aneighbour) != 0) &&
|
|
(aListOfNeighbourIndex.IsEmpty())) {
|
|
bIsEndOfLine = Standard_False;
|
|
}
|
|
}
|
|
|
|
if(bIsEndOfLine) {
|
|
if(aLineOn2S->NbPoints() > 1) {
|
|
Handle(IntPatch_WLine) aNewWLine =
|
|
new IntPatch_WLine(aLineOn2S, Standard_False);
|
|
aNewWLine->SetCreatingWayInfo(theWLine->GetCreatingWay());
|
|
theNewLines.Append(aNewWLine);
|
|
}
|
|
aLineOn2S = new IntSurf_LineOn2S();
|
|
}
|
|
}
|
|
// end if(bIsFirstInside)
|
|
|
|
if(bIsLastInside) {
|
|
// append points from first boundary point to ilprm
|
|
if(bhasfirstpoint) {
|
|
pit = aListOfFLIndex.First();
|
|
const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
TColStd_ListIteratorOfListOfInteger anIt(aListOfIndex);
|
|
|
|
for(; anIt.More(); anIt.Next()) {
|
|
pit = anIt.Value();
|
|
if(pit > ilprm)
|
|
continue;
|
|
const IntSurf_PntOn2S& aP = theWLine->Point(pit);
|
|
aLineOn2S->Add(aP);
|
|
}
|
|
}
|
|
//end if(bIsLastInside)
|
|
}
|
|
}
|
|
|
|
if(aLineOn2S->NbPoints() > 1) {
|
|
Handle(IntPatch_WLine) aNewWLine =
|
|
new IntPatch_WLine(aLineOn2S, Standard_False);
|
|
aNewWLine->SetCreatingWayInfo(theWLine->GetCreatingWay());
|
|
theNewLines.Append(aNewWLine);
|
|
}
|
|
}
|
|
// Split wlines.end
|
|
|
|
return Standard_True;
|
|
}
|
|
|
|
///////////////////// end of DecompositionOfWLine ///////////////////////
|