path: root/src/TopOpeBRep/TopOpeBRep_EdgesIntersector.cxx

// File:	TopOpeBRep_EdgesIntersector.cxx
// Created:	Fri Oct  7 14:16:31 1994
// Author:	Jean Yves LEBEY
//		<jyl@bravox>

#ifdef DRAW
#include <TestTopOpeDraw_TTOT.hxx>
#include <TopOpeBRepTool_DRAW.hxx>
#endif

#include <TopOpeBRep_EdgesIntersector.ixx>

#include <TopoDS.hxx>
#include <TopoDS_Vertex.hxx>
#include <BRep_Tool.hxx>
#include <BRepAdaptor_HSurface.hxx>
#include <BRepAdaptor_Surface.hxx>
#include <Precision.hxx>
#include <TopExp.hxx>
#include <TopExp_Explorer.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Circ2d.hxx>
#include <Geom_Curve.hxx>
#include <Geom_Surface.hxx>
#include <TopLoc_Location.hxx>
#include <Standard_Failure.hxx>
#include <OSD_Chronometer.hxx>
#include <TopOpeBRepTool_CurveTool.hxx>
#include <TopOpeBRepTool_ShapeTool.hxx>
#include <GeomTools_CurveSet.hxx>
#include <GeomTools_Curve2dSet.hxx>
#include <GeomTools_SurfaceSet.hxx>
#include <TopOpeBRepTool_2d.hxx>
#include <TopOpeBRepTool_TOOL.hxx>
#include <TopOpeBRepTool_EXPORT.hxx>
#include <TopOpeBRepTool_tol.hxx>
#include <TopOpeBRep_Point2d.hxx>
#include <TopOpeBRep_define.hxx>

#ifdef DEB
Standard_EXPORT Standard_Boolean TopOpeBRepTool_GettraceNYI();
Standard_EXPORT Standard_Boolean TopOpeBRepTool_GettraceKRO();
Standard_EXPORT Standard_Boolean TopOpeBRepDS_GettraceEDSF();
Standard_EXPORT Standard_Boolean TopOpeBRepDS_GettraceDSF();
Standard_EXPORT Standard_Boolean TopOpeBRep_GettracePROEDG();
Standard_EXPORT Standard_Boolean TopOpeBRep_GetcontextTOL0();
Standard_EXPORT Standard_Boolean TopOpeBRep_GetcontextNOFEI();
Standard_EXPORT Standard_Boolean TopOpeBRep_GettraceFITOL();
Standard_EXPORT Standard_Boolean TopOpeBRep_GettraceEEFF();
Standard_EXPORT void debeeff();
#include <TopOpeBRepTool_KRO.hxx>
Standard_EXPORT TOPKRO KRO_DSFILLER_INTEE("intersection edge/edge");
#endif

// la surface de reference peut etre celle de la 1ere ou la 2eme face 
// de l'appel de SetFaces. Ces deux faces sont "SameDomain".
// Leurs normales geometriques sont SurfacesSameOriented()
// Leurs normales topologiques sont FacesSameOriented()
// cas type 1 : 
//    face1 FORWARD, normale geometrique Ng1 en +Z 
//    face2 REVERSED, normale geometrique Ng2 en -Z 
// ==> SurfaceSameOriented = 0, FacesSameOriented = 1

//=======================================================================
//function : TopOpeBRep_EdgesIntersector
//purpose  : 
//=======================================================================
TopOpeBRep_EdgesIntersector::TopOpeBRep_EdgesIntersector()
{
  mySurface1 = new BRepAdaptor_HSurface();
  mySurface2 = new BRepAdaptor_HSurface();
  mySurfacesSameOriented = Standard_False;
  myFacesSameOriented = Standard_False;
  myTol1 = 0.; // Precision::PConfusion();
  myTol2 = 0.; // Precision::PIntersection();
  myDimension = 2;
  myTolForced = Standard_False;
  myf1surf1F_sameoriented = Standard_True;
  myf2surf1F_sameoriented = Standard_True;
  
  myNbSegments = 0;
  myHasSegment = Standard_False;
  SetSameDomain(Standard_False);

  myNbPoints = 0;
  myTrueNbPoints = 0;
  myPointIndex = 0;
  myip2d = mynp2d = 0;
  myselectkeep = Standard_True;
}

void TopOpeBRep_EdgesIntersector::Delete()
{}

//=======================================================================
//function : SetFaces
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::SetFaces(const TopoDS_Shape& F1,const TopoDS_Shape& F2)
{
  Bnd_Box B1,B2;
  SetFaces(F1,F2,B1,B2);
}

//=======================================================================
//function : SetFaces
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::SetFaces(const TopoDS_Shape& F1,const TopoDS_Shape& F2,const Bnd_Box& B1,const Bnd_Box& B2)
{
  Standard_Boolean computerestriction = Standard_False;
  
  Standard_Boolean so11 = Standard_True;
  Standard_Boolean so21 = Standard_True;
  myf1surf1F_sameoriented = so11;
  myf2surf1F_sameoriented = so21;
  mySurfacesSameOriented = Standard_True;
  myFacesSameOriented = Standard_True;
  
  myFace1 = TopoDS::Face(F1);
  BRepAdaptor_Surface& S1 = mySurface1->ChangeSurface(); S1.Initialize(myFace1,computerestriction);
  mySurfaceType1 = S1.GetType();
  
  myFace2 = TopoDS::Face(F2);
  BRepAdaptor_Surface& S2 = mySurface2->ChangeSurface(); S2.Initialize(myFace2,computerestriction);
  mySurfaceType2 = S2.GetType();
  
  TopoDS_Face face1forward = myFace1;
  face1forward.Orientation(TopAbs_FORWARD);
  
  so11 = TopOpeBRepTool_ShapeTool::FacesSameOriented(face1forward,myFace1);
  myf1surf1F_sameoriented = so11; 
  
  so21 = TopOpeBRepTool_ShapeTool::FacesSameOriented(face1forward,myFace2);
  myf2surf1F_sameoriented = so21;
  
  mySurfacesSameOriented = TopOpeBRepTool_ShapeTool::SurfacesSameOriented(S1,S2);
  myFacesSameOriented = TopOpeBRepTool_ShapeTool::FacesSameOriented(myFace1,myFace2);

  if ( !myTolForced ) {
    FTOL_FaceTolerances2d(B1,B2,myFace1,myFace2,S1,S2,myTol1,myTol2);
    myTol1 = (myTol1 > 1.e-4)? 1.e-4: myTol1;
    myTol2 = (myTol2 > 1.e-4)? 1.e-4: myTol2;
  }

#ifdef DEB
  Standard_Integer DEBi = 0;
  if ( DEBi ) {
    cout<<"TopOpeBRep_EdgesIntersector::SetFaces : ";
    cout<<"f1 "; TopAbs::Print(myFace1.Orientation(),cout);
    cout<< " / f1F : ";
    if (so11) cout<<"sameoriented"; else cout<<"difforiented"; cout<<endl;
    cout <<"  ";
    cout<<"f2 "; TopAbs::Print(myFace2.Orientation(),cout);
    cout<< " / f1F : ";
    if (so21) cout<<"sameoriented"; else cout<<"difforiented"; cout<<endl;
  }
#endif
}

//=======================================================================
//function : ForceTolerances
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::ForceTolerances(const Standard_Real Tol1,const Standard_Real Tol2)
{
  myTol1 = Tol1;
  myTol2 = Tol2;
  myTolForced = Standard_True;
}

#include <IntRes2d_Transition.hxx>
static Standard_Boolean TransitionEqualAndExtremity( const IntRes2d_Transition& T1
				       ,const IntRes2d_Transition& T2) {
  if(   T1.PositionOnCurve() == IntRes2d_Head
     || T1.PositionOnCurve() == IntRes2d_End) {  
    if(T1.PositionOnCurve() == T2.PositionOnCurve())  {
      if(T1.TransitionType() == T2.TransitionType()) {
	if(T1.TransitionType() == IntRes2d_Touch) {
	  if(T1.IsTangent()==T2.IsTangent()) {
	    if(T1.Situation() == T2.Situation()) {
	      if(T1.IsOpposite() == T2.IsOpposite()) {
		return(Standard_True);
	      }
	    }
	  }
	}
	else {
	  return(Standard_True);
	}
      }
    }
  }
  return(Standard_False);
}

//  Modified by Sergey KHROMOV - Fri Jan 11 14:49:48 2002 Begin
static Standard_Boolean IsTangentSegment(const IntRes2d_IntersectionPoint &P1,
					 const IntRes2d_IntersectionPoint &P2,
					 const Geom2dAdaptor_Curve        &aC1,
					 const Geom2dAdaptor_Curve        &aC2,
					 const Standard_Real               aTolConf) {
  const gp_Pnt2d            &aP2d1   = P1.Value();
  const gp_Pnt2d            &aP2d2   = P2.Value();
  const IntRes2d_Transition &aTrans1 = P1.TransitionOfFirst();
  const IntRes2d_Transition &aTrans2 = P2.TransitionOfFirst();

  if (aTrans1.TransitionType() == IntRes2d_Touch ||
      aTrans2.TransitionType() == IntRes2d_Touch) {
    Standard_Real aSqrDistPP   = aP2d1.SquareDistance(aP2d2);

    if (aSqrDistPP <= aTolConf) {
      Standard_Real aParDist1 = Abs(P1.ParamOnFirst() - P2.ParamOnFirst());
      Standard_Real aParDist2 = Abs(P1.ParamOnSecond() - P2.ParamOnSecond());
      Standard_Real aResol1   = aC1.Resolution(aTolConf);
      Standard_Real aResol2   = aC2.Resolution(aTolConf);

      if (aParDist1*aParDist1 <= aResol1 &&
	  aParDist2*aParDist2 <= aResol2)
	return Standard_True;
    }
  }

  return Standard_False;
}
//  Modified by Sergey KHROMOV - Fri Jan 11 14:49:49 2002 End


//------------------------------------------------------------------------
Standard_Boolean EdgesIntersector_checkT1D(const TopoDS_Edge& E1,const TopoDS_Edge& E2,const TopoDS_Vertex& vG,
			      TopOpeBRepDS_Transition& newT)
//------------------------------------------------------------------------
     // E1 sdm E2, interfers with E2 at vertex vG
     // vG is vertex of E2, but not vertex of E1
     // purpose : get newT / attached to E1, I1d=(newT(E2),G,E2)
{
#define FIRST (1)
#define LAST  (2)
#define CLOSING (3)
  
  newT.Set(TopAbs_UNKNOWN,TopAbs_UNKNOWN);
  Standard_Integer ovine = FUN_tool_orientVinE(vG,E2);
  if      (ovine == 0) {
    return Standard_False;
  }
  else if (ovine == CLOSING) {
    newT.Set(TopAbs_INTERNAL);
    return Standard_True;
  }

  Standard_Boolean first = (ovine == FIRST);
  Standard_Boolean last  = (ovine == LAST);

  TopOpeBRepDS_Config C = TopOpeBRepDS_SAMEORIENTED;
  Standard_Boolean sso = TopOpeBRepTool_ShapeTool::ShapesSameOriented(E1,E2);
  if (!sso) C = TopOpeBRepDS_DIFFORIENTED;
  
  Standard_Boolean SO = (C == TopOpeBRepDS_SAMEORIENTED);
  Standard_Boolean DO = (C == TopOpeBRepDS_DIFFORIENTED);
  TopAbs_Orientation o1 = E1.Orientation();
  if (o1 == TopAbs_REVERSED) {SO = !SO; DO = !DO;} // relative to E1 FORWARD
  
  Standard_Boolean reversed = (SO && first) || (DO && last);
  Standard_Boolean forward  = (SO && last)  || (DO && first);
  if (reversed) newT.Set(TopAbs_REVERSED);
  if (forward)  newT.Set(TopAbs_FORWARD);
  return (reversed || forward);
} // EdgesIntersector_checkT1D


//modified by NIZNHY-PKV Fri Nov  5 12:27:07 1999 from
#include <BRepAdaptor_Surface.hxx>
//modified by NIZNHY-PKV Fri Nov  5 12:27:10 1999 to
//=======================================================================
//function : Perform
//purpose  : 
//=======================================================================
  void TopOpeBRep_EdgesIntersector::Perform(const TopoDS_Shape& E1,const TopoDS_Shape& E2,const Standard_Boolean ReduceSegment)
{
  mysp2d.Clear();
  myip2d = 1; mynp2d = 0;
  myEdge1 = TopoDS::Edge(E1);
  myEdge2 = TopoDS::Edge(E2);
  
  Standard_Real first,last,tole,tolpc;
  gp_Pnt2d pfirst,plast;
  Handle(Geom2d_Curve) PC1;
  //modified by NIZNHY-PKV Thu Nov  4 16:08:05 1999 f
  
  BRepAdaptor_Surface aSurface1(myFace1), aSurface2(myFace2);
  GeomAbs_SurfaceType aSurfaceType1=aSurface1.GetType(), 
                      aSurfaceType2=aSurface2.GetType();
  
  if (aSurfaceType1==GeomAbs_Sphere && aSurfaceType2==GeomAbs_Sphere) {
    PC1 = FC2D_MakeCurveOnSurface (myEdge1,myFace1,first,last,tolpc, Standard_True);
  }
  else {
    PC1 = FC2D_CurveOnSurface(myEdge1,myFace1,first,last,tolpc);
  }
  //modified by NIZNHY-PKV Thu Nov  4 15:44:13 1999 to

  if (PC1.IsNull()) 
    Standard_Failure::Raise("EdgesIntersector::Perform : no 2d curve");
  
  myCurve1.Load(PC1);
  BRep_Tool::UVPoints(myEdge1,myFace1,pfirst,plast);
  tole = BRep_Tool::Tolerance(myEdge1);
  myDomain1.SetValues(pfirst,first,tole,plast,last,tole);
  
#ifdef DEB
  Standard_Boolean trc = Standard_False;
  if (trc) {
    cout<<"ed1 on fa1 : {pfirst=("<<pfirst.X()<<" "<<pfirst.Y()<<"), first="<<first<<"\n";
    cout<<"              plast =("<<plast.X()<<" "<<plast.Y()<<"),last="<<last<<"}"<<endl;}
#endif  
  
  Standard_Boolean memesfaces = myFace1.IsSame(myFace2);
  Standard_Boolean memesupport = Standard_False;
  TopLoc_Location L1,L2;
  const Handle(Geom_Surface) S1 = BRep_Tool::Surface(myFace1,L1);
  const Handle(Geom_Surface) S2 = BRep_Tool::Surface(myFace2,L2);
  if (S1 == S2 && L1 == L2) memesupport=Standard_True;
  
  if ( mySurfaceType1 == GeomAbs_Plane || memesfaces || memesupport) {    
    Handle(Geom2d_Curve) PC2 = FC2D_CurveOnSurface(myEdge2,myFace1,first,last,tolpc);
    myCurve2.Load(PC2);
    BRep_Tool::UVPoints(myEdge2,myFace1,pfirst,plast);
    tole = BRep_Tool::Tolerance(myEdge2);
    myDomain2.SetValues(pfirst,first,tole,plast,last,tole);
    
#ifdef DEB
    if (trc) {
      cout<<"ed2 on fa1 : {pfirst=("<<pfirst.X()<<" "<<pfirst.Y()<<"), first="<<first<<"\n";
      cout<<"              plast =("<<plast.X()<<" "<<plast.Y()<<"),last="<<last<<"}"<<endl;}
#endif
    
  }

  else {

    Handle(Geom2d_Curve) PC2on1; Handle(Geom_Curve) NC;
    Standard_Boolean dgE2 = BRep_Tool::Degenerated(myEdge2);
    if (dgE2) { //xpu210998 : cto900Q3
      TopExp_Explorer exv(myEdge2, TopAbs_VERTEX);
      const TopoDS_Vertex& v2 = TopoDS::Vertex(exv.Current());
      gp_Pnt pt2 = BRep_Tool::Pnt(v2);
      gp_Pnt2d uv2; Standard_Real d; Standard_Boolean ok = FUN_tool_projPonF(pt2,myFace1,uv2,d);
      if (!ok) 
	return;//nyiRaise

      Handle(Geom_Surface) S1 = BRep_Tool::Surface(myFace1);
      Standard_Boolean apex = FUN_tool_onapex(uv2,S1);
      if (apex) {
	TopoDS_Vertex vf,vl; TopExp::Vertices(myEdge1,vf,vl);
	gp_Pnt ptf = BRep_Tool::Pnt(vf); Standard_Real df = pt2.Distance(ptf); 
	Standard_Real tolf = BRep_Tool::Tolerance(vf);
	Standard_Boolean onf = (df < tolf);
	TopoDS_Vertex v1 = onf ? vf : vl;
	TopTools_IndexedDataMapOfShapeListOfShape mapVE; TopExp::MapShapesAndAncestors(myFace1,TopAbs_VERTEX,TopAbs_EDGE,mapVE);
	const TopTools_ListOfShape& Edsanc = mapVE.FindFromKey(v1);
	TopTools_ListIteratorOfListOfShape it(Edsanc);
	for (; it.More(); it.Next()){
	  const TopoDS_Edge& ee = TopoDS::Edge(it.Value());
	  Standard_Boolean dgee = BRep_Tool::Degenerated(ee);
	  if (!dgee) continue;
//	  Standard_Real f,l;
          PC2on1 = BRep_Tool::CurveOnSurface(ee,myFace1,first,last);	  
	}
      }
      else {} // NYIxpu210998
    } //dgE2
    else {
      // project curve of edge 2 on surface of face 1
      TopLoc_Location loc ;
      Handle(Geom_Curve) C = BRep_Tool::Curve(myEdge2,loc,first,last); 
      NC = Handle(Geom_Curve)::DownCast(C->Transformed(loc.Transformation()));
      Standard_Real tolreached2d;

      //modified by NIZNHY-PKV Fri Nov  5 12:29:13 1999 from
      if (aSurfaceType1==GeomAbs_Sphere && aSurfaceType2==GeomAbs_Sphere) {
	PC2on1 =  FC2D_MakeCurveOnSurface (myEdge2, myFace1, first, last, tolpc, Standard_True);
      }
      else { 
	PC2on1 = TopOpeBRepTool_CurveTool::MakePCurveOnFace(myFace1,NC,tolreached2d);
      }
      //modified by NIZNHY-PKV Thu Nov  4 14:52:25 1999 t
   
    }
    
    if (!PC2on1.IsNull()) {
      myCurve2.Load(PC2on1);
      tole = BRep_Tool::Tolerance(myEdge2);
      PC2on1->D0(first,pfirst);
      PC2on1->D0(last,plast);
      myDomain2.SetValues(pfirst,first,tole,plast,last,tole);
#ifdef DEB
      if ( TopOpeBRep_GettracePROEDG() ) {
	cout<<"------------ projection de curve"<<endl;
	cout<<"--- Curve : "<<endl;
	GeomTools_CurveSet::PrintCurve(NC,cout);
	cout<<"--- nouvelle PCurve : "<<endl;
	GeomTools_Curve2dSet::PrintCurve2d(PC2on1,cout);
	Handle(Geom_Surface) S1 = BRep_Tool::Surface(myFace1);
	cout<<"--- sur surface : "<<endl;
	GeomTools_SurfaceSet::PrintSurface(S1,cout);
	cout<<endl;
      }
#endif
    }
    else return;
  }
  
  // compute the intersection
#ifdef DEB
  if (TopOpeBRepTool_GettraceKRO()) KRO_DSFILLER_INTEE.Start();
#endif
  
  Standard_Real tol1 = myTol1, tol2 = myTol2;
// Wrong !!!
/*  if ( !myTolForced ) {
    if ( t1 != t2 ) {
      //#ifdef DEB // JYL 28/09/98 : temporaire
      //if ( TopOpeBRep_GetcontextTOL0() ) { // JYL 28/09/98 : temporaire
      tol1 = 0.; // JYL 28/09/98 : temporaire
      tol2 = 0.; // JYL 28/09/98 : temporaire
      //} // JYL 28/09/98 : temporaire
      //#endif // JYL 28/09/98 : temporaire
    }
  }
*/
  
#ifdef DEB
  if (TopOpeBRep_GettraceFITOL()) {
    cout<<"EdgesIntersector : Perform";
#ifdef DRAW
    GeomAbs_CurveType t1 = myCurve1.GetType();
    GeomAbs_CurveType t2 = myCurve2.GetType();
    TCollection_AsciiString s1;TestTopOpeDraw_TTOT::CurveToString(t1,s1);cout<<" "<<s1;
    TCollection_AsciiString s2;TestTopOpeDraw_TTOT::CurveToString(t2,s2);cout<<" "<<s2;
#endif
    cout<<endl;
    cout<<"                   tol1 = "<<tol1<<endl;
    cout<<"                   tol2 = "<<tol2<<endl;
  }
#endif

  myIntersector.Perform(myCurve1,myDomain1,myCurve2,myDomain2,tol1,tol2);

  Standard_Integer nbp = myIntersector.NbPoints();
  Standard_Integer nbs = myIntersector.NbSegments();

  mylpnt.Clear(); mylseg.Clear();
//  for (Standard_Integer p=1; p<=nbp; p++) mylpnt.Append(myIntersector.Point(p));
  Standard_Integer p ;
  for ( p=1; p<=nbp; p++) mylpnt.Append(myIntersector.Point(p));
  for (Standard_Integer s=1; s<=nbs; s++) mylseg.Append(myIntersector.Segment(s));
  
  Standard_Boolean filter = Standard_True;
#ifdef DEB
  Standard_Boolean nofilter = TopOpeBRep_GetcontextNOFEI(); if (nofilter) filter = Standard_False;
#endif
  
  //-- Filter :
  if (filter) {
    Standard_Boolean fin;
    do { 
      fin=Standard_True;
      for(p=1;p<nbp && fin ;p++) { 
	const IntRes2d_IntersectionPoint& P1=mylpnt.Value(p);
	const IntRes2d_IntersectionPoint& P2=mylpnt.Value(p+1);
	if(   TransitionEqualAndExtremity(P1.TransitionOfFirst(),P2.TransitionOfFirst())
	   || TransitionEqualAndExtremity(P1.TransitionOfSecond(),P2.TransitionOfSecond()) ) { 
#ifdef DEB
	  Standard_Boolean TRC = Standard_True;
	  if (TRC) cout<<"\n Egalite de transitions \n"<<endl;
#endif
	  fin = Standard_False;
	  mylpnt.Remove(p);
	  nbp--;
	}
//  Modified by Sergey KHROMOV - Fri Jan 11 10:31:38 2002 Begin
	else if (IsTangentSegment(P1, P2, myCurve1, myCurve2, Max(tol1, tol2))) {
	  const IntRes2d_Transition &aTrans = P2.TransitionOfFirst();

	  fin = Standard_False;
	  if (aTrans.TransitionType() == IntRes2d_Touch)
	    mylpnt.Remove(p);
	  else
	    mylpnt.Remove(p + 1);
	  nbp--;
	}
//  Modified by Sergey KHROMOV - Fri Jan 11 10:31:39 2002 End
      }
    }
    while(fin==Standard_False);  
  }
  //-- End filter 
    
  myNbSegments = mylseg.Length();
  myHasSegment = (myNbSegments != 0);
  ComputeSameDomain();

  myNbPoints = mylpnt.Length();
  myTrueNbPoints = myNbPoints + 2 * myNbSegments;
  myPointIndex = 0;

#ifdef DEB
  if (TopOpeBRep_GettraceEEFF()) debeeff();
#endif
  
  MakePoints2d();
  if (ReduceSegment) ReduceSegments();
  
  // xpu010998 : cto900J1, e5 sdm e13, IntPatch (Touch,Inside) -> 
  //             faulty INTERNAL transition at G=v9 :
  // xpu281098 : cto019D2, e3 sdm e9, faulty EXTERNAL transition
  Standard_Boolean esd = SameDomain();
  for (InitPoint();MorePoint();NextPoint()) {
    TopOpeBRep_Point2d& P2D = mysp2d(myip2d);
    Standard_Boolean isvertex1 = P2D.IsVertex(1);
    Standard_Boolean isvertex2 = P2D.IsVertex(2);
    Standard_Boolean isvertex = isvertex1 || isvertex2;
    
    if (isvertex && esd) {
      TopOpeBRepDS_Transition& T1 = P2D.ChangeTransition(1);
      TopOpeBRepDS_Transition& T2 = P2D.ChangeTransition(2);
      
      Standard_Boolean newT1=Standard_False, newT2=Standard_False;
      Standard_Boolean isvertex12 = isvertex1 && isvertex2;
      Standard_Boolean isvertex22 = isvertex2 && !isvertex12;
      Standard_Boolean isvertex11 = isvertex1 && !isvertex12;

      Standard_Boolean T1INT = (T1.Orientation(TopAbs_IN) == TopAbs_INTERNAL);
      if (T1INT && isvertex2 && !isvertex1) {
	const TopoDS_Vertex& V2 = P2D.Vertex(2);	
	TopOpeBRepDS_Transition newT; Standard_Boolean computed = ::EdgesIntersector_checkT1D(myEdge1,myEdge2,V2,newT);
	if (!computed) newT1 = Standard_False;
	else           T1.Set(newT.Orientation(TopAbs_IN));
      }

      Standard_Boolean T2INT = (T2.Orientation(TopAbs_IN) == TopAbs_INTERNAL);
      Standard_Boolean T2EXT = (T2.Orientation(TopAbs_IN) == TopAbs_EXTERNAL);
      Standard_Boolean INTEXT2 = T2INT || T2EXT;
      if (INTEXT2 && isvertex1 && !isvertex2) {
	const TopoDS_Vertex& V1 = P2D.Vertex(1);
	TopOpeBRepDS_Transition newT; Standard_Boolean computed = ::EdgesIntersector_checkT1D(myEdge2,myEdge1,V1,newT);
	if (!computed) newT2 = Standard_False;
	else           T2.Set(newT.Orientation(TopAbs_IN));
      }      
      
      // xpu121098 : cto900I7 (e12on,vG14)
      TopoDS_Vertex vcl2; Standard_Boolean clE2 = TopOpeBRepTool_TOOL::ClosedE(myEdge2,vcl2);
      Standard_Boolean nT1 = ( !T1INT && clE2 && isvertex22 && vcl2.IsSame(P2D.Vertex(2)) );
      if (nT1) T1.Set(TopAbs_INTERNAL);
      TopoDS_Vertex vcl1; Standard_Boolean clE1 = TopOpeBRepTool_TOOL::ClosedE(myEdge1,vcl1);
      Standard_Boolean nT2 = ( !T2INT && clE1 && isvertex11 && vcl1.IsSame(P2D.Vertex(1)) );
      if (nT2) T2.Set(TopAbs_INTERNAL);
      
#ifdef DEB
      if (trc&&(newT1||nT1)) {cout<<"-> ** newT on e(1) = ";T1.Dump(cout);cout<<endl;}
      if (trc&&(newT2||nT2)) {cout<<"-> ** newT on e(2) = ";T2.Dump(cout);cout<<endl;}
#endif
    } // (isvertex && esd) 
  } // MorePoint


#ifdef DEB
  if (TopOpeBRepTool_GettraceKRO()) KRO_DSFILLER_INTEE.Stop();
#endif
} // Perform

//=======================================================================
//function : Dimension
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::Dimension(const Standard_Integer Dim)
{
  if (Dim == 1 || Dim == 2) {
    myDimension = Dim;
  }
}

//=======================================================================
//function : Dimension
//purpose  : 
//=======================================================================
Standard_Integer TopOpeBRep_EdgesIntersector::Dimension() const
{
  return myDimension;
}

//=======================================================================
//function : ComputeSameDomain
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::ComputeSameDomain()
{
  const Geom2dAdaptor_Curve& C1 = Curve(1);
  const Geom2dAdaptor_Curve& C2 = Curve(2);
  GeomAbs_CurveType t1 = C1.GetType();
  GeomAbs_CurveType t2 = C2.GetType();

  if (!myHasSegment) 
    return SetSameDomain(Standard_False);
  
  Standard_Boolean tt = (t1 == t2);
  if (!tt) 
    return SetSameDomain(Standard_False);
  
  if (t1 == GeomAbs_Line) 
    return SetSameDomain(Standard_True);
  
  if (t1 != GeomAbs_Circle) {
#ifdef DEB
    if (TopOpeBRepTool_GettraceNYI()) 
      cout<<"TopOpeBRep_EdgesIntersector : EdgesSameDomain on NYI curve type"<<endl;
#endif
    return SetSameDomain(Standard_False);
  }

  gp_Circ2d c1 = C1.Circle();
  gp_Circ2d c2 = C2.Circle();
  Standard_Real r1 = c1.Radius();
  Standard_Real r2 = c2.Radius();
//  Standard_Boolean rr = (r1 == r2);
  Standard_Boolean rr = (Abs(r1-r2) < Precision::Confusion()); //xpu281098 (cto019D2) tolerance a revoir
  if (!rr) return SetSameDomain(Standard_False);

  const gp_Pnt2d& p1 = c1.Location();
  const gp_Pnt2d& p2 = c2.Location();

  const BRepAdaptor_Surface& BAS1 = Surface(1);
  Standard_Real u1,v1; p1.Coord(u1,v1); gp_Pnt P1 = BAS1.Value(u1,v1);
  Standard_Real u2,v2; p2.Coord(u2,v2); gp_Pnt P2 = BAS1.Value(u2,v2);// recall myCurve2=C2d(myEdge2,myFace1);
  Standard_Real dpp = P1.Distance(P2);
  Standard_Real tol1 = BRep_Tool::Tolerance(TopoDS::Edge(Edge(1)));
  Standard_Real tol2 = BRep_Tool::Tolerance(TopoDS::Edge(Edge(2)));
  Standard_Real tol = tol1 + tol2;
  Standard_Boolean esd = (dpp <= tol);
  if (esd) return SetSameDomain(Standard_True);

  return SetSameDomain(Standard_False);
} // ComputeSameDomain

//=======================================================================
//function : SetSameDomain
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::SetSameDomain(const Standard_Boolean B)
{
  mySameDomain = B;
  return B;
}

//=======================================================================
//function : MakePoints2d
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::MakePoints2d()
{
  mysp2d.Clear();
  TopAbs_Orientation E1ori = myEdge1.Orientation();
  TopAbs_Orientation E2ori = myEdge2.Orientation();
  for (InitPoint1();MorePoint1();NextPoint1()) {
    const IntRes2d_IntersectionPoint& IP = Point1();
    TopOpeBRep_Point2d p2d;
    p2d.SetPint(IP);
    p2d.SetTransition(1,Transition1(1,E2ori));
    p2d.SetTransition(2,Transition1(2,E1ori));
    p2d.SetParameter(1,Parameter1(1));
    p2d.SetParameter(2,Parameter1(2));
    Standard_Boolean isv1 = IsVertex1(1); p2d.SetIsVertex(1,isv1);
    if (isv1) p2d.SetVertex(1,TopoDS::Vertex(Vertex1(1)));
    Standard_Boolean isv2 = IsVertex1(2); p2d.SetIsVertex(2,isv2);
    if (isv2) p2d.SetVertex(2,TopoDS::Vertex(Vertex1(2)));
    p2d.SetIsPointOfSegment(IsPointOfSegment1());
    p2d.SetSegmentAncestors(0,0);
    p2d.SetStatus(Status1());
    p2d.SetValue(Value1());
    p2d.SetValue2d(IP.Value());
    p2d.SetTolerance(ToleranceMax());
    p2d.SetEdgesConfig(EdgesConfig1());
    p2d.SetIndex(Index1());
    mysp2d.Append(p2d);
  }
  myip2d = 1; mynp2d = mysp2d.Length();
}

//=======================================================================
//function : ReduceSegment
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::ReduceSegment(TopOpeBRep_Point2d& psa,
				      TopOpeBRep_Point2d& psb,
				      TopOpeBRep_Point2d& Pn) const
{
  Standard_Boolean reduced = Standard_False;
  Standard_Integer ixpsa = psa.Index();
  Standard_Integer ixpsb = psb.Index();
  
  Standard_Boolean pospsa = psa.IsPointOfSegment();
  TopOpeBRep_P2Dstatus stspsa = psa.Status();
  Standard_Real tpsa1 = psa.Parameter(1);
  Standard_Real tpsa2 = psa.Parameter(2);
  const TopOpeBRepDS_Transition& Tpsa1 = psa.Transition(1);
  const TopOpeBRepDS_Transition& Tpsa2 = psa.Transition(2);
  
  Standard_Boolean pospsb = psb.IsPointOfSegment();
  TopOpeBRep_P2Dstatus stspsb = psb.Status();
  Standard_Real tpsb1 = psb.Parameter(1);
  Standard_Real tpsb2 = psb.Parameter(2);
  const TopOpeBRepDS_Transition& Tpsb1 = psb.Transition(1);
  const TopOpeBRepDS_Transition& Tpsb2 = psb.Transition(2);
  
  Standard_Boolean conda = (pospsa && (stspsa == TopOpeBRep_P2DSGF));
  Standard_Boolean condb = (pospsb && (stspsb == TopOpeBRep_P2DSGL));
  Standard_Boolean cond = (conda && condb);
  
  if (cond) {
    reduced = Standard_True;
    
    Standard_Real tm1 = (tpsa1 + tpsb1)/2.; Pn.SetParameter(1,tm1);
    Standard_Real tm2 = (tpsa2 + tpsb2)/2.; Pn.SetParameter(2,tm2);
    
    TopOpeBRepDS_Transition Tn1;
    Tn1.Before(Tpsa1.Before(),Tpsa1.ShapeBefore());
    Tn1.After (Tpsb1.After(),Tpsb1.ShapeAfter());
    Pn.SetTransition(1,Tn1);
    TopOpeBRepDS_Transition Tn2;
    Tn2.Before(Tpsa2.Before(),Tpsa2.ShapeBefore());
    Tn2.After (Tpsb2.After(),Tpsb2.ShapeAfter());
    Pn.SetTransition(2,Tn2);
    
    const gp_Pnt& P3Dpsa = psa.Value();
    const gp_Pnt& P3Dpsb = psb.Value();
    gp_Pnt P3Dn((P3Dpsa.X()+P3Dpsb.X())/2,
		(P3Dpsa.Y()+P3Dpsb.Y())/2,
		(P3Dpsa.Z()+P3Dpsb.Z())/2);
    Pn.SetValue(P3Dn);
    const gp_Pnt2d& P2Dpsa = psa.Value2d();
    const gp_Pnt2d& P2Dpsb = psb.Value2d();
    gp_Pnt2d P2Dn((P2Dpsa.X()+P2Dpsb.X())/2,
		  (P2Dpsa.Y()+P2Dpsb.Y())/2);
    Pn.SetValue2d(P2Dn);
    
    Standard_Real tolpsa = psa.Tolerance();
    Standard_Real tolpsb = psb.Tolerance();
    Standard_Real toln = (tolpsa + tolpsb)*1.5;
    Pn.SetTolerance(toln);
    
    Pn.SetIsPointOfSegment(Standard_False);
    Pn.SetSegmentAncestors(ixpsa,ixpsb);
    psa.SetKeep(Standard_False);
    psb.SetKeep(Standard_False);
    
    TopOpeBRepDS_Config cpsa = psa.EdgesConfig();
    Pn.SetEdgesConfig(cpsa);
    
    Standard_Boolean isvpsa1 = psa.IsVertex(1);if (isvpsa1) Pn.SetVertex(1,psa.Vertex(1));
    Standard_Boolean isvpsa2 = psa.IsVertex(2);if (isvpsa2) Pn.SetVertex(2,psa.Vertex(2));
    Standard_Boolean isvpsb1 = psb.IsVertex(1);if (isvpsb1) Pn.SetVertex(1,psb.Vertex(1));
    Standard_Boolean isvpsb2 = psb.IsVertex(2);if (isvpsb2) Pn.SetVertex(2,psb.Vertex(2));
  }
  
  return reduced;
} // ReduceSegment

//=======================================================================
//function : ReduceSegments
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::ReduceSegments()
{
  Standard_Boolean condredu = (myHasSegment && !mySameDomain);
  if (!condredu) return;

#ifdef DEB
  Standard_Boolean trc = TopOpeBRepDS_GettraceDSF(); trc = trc || TopOpeBRepDS_GettraceEDSF();
  if (trc) Dump("AVANT ReduceSegments");
#endif
  
  Standard_Integer ip = 1;Standard_Integer np = mynp2d;
  while (ip < np) {
    TopOpeBRep_Point2d& psa = mysp2d(ip);
    TopOpeBRep_Point2d& psb = mysp2d(ip+1);
    TopOpeBRep_Point2d pn;
    Standard_Boolean reduced = ReduceSegment(psa,psb,pn);
    if (reduced) {
      pn.SetIndex(++mynp2d);
      mysp2d.Append(pn);
    }
    ip++;
  }
  
  mylseg.Clear();
  myNbSegments = mylseg.Length();
  myHasSegment = (myNbSegments != 0);
  myTrueNbPoints = myNbPoints + 2 * myNbSegments;

} // ReduceSegments


//=======================================================================
//function : IsEmpty
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::IsEmpty () 
{
  return (mynp2d == 0);
}

//=======================================================================
//function : HasSegment
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::HasSegment () const 
{
  return myHasSegment;
}

//=======================================================================
//function : SameDomain
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::SameDomain() const
{
  return mySameDomain;
}

//=======================================================================
//function : Edge
//purpose  : 
//=======================================================================
const TopoDS_Shape& TopOpeBRep_EdgesIntersector::Edge(const Standard_Integer Index) const 
{
  if      ( Index == 1 ) return myEdge1;
  else if ( Index == 2 ) return myEdge2;
  else Standard_Failure::Raise("TopOpeBRep_EdgesIntersector::Edge");
  
  return myEdge1;
}

//=======================================================================
//function : Curve
//purpose  : 
//=======================================================================
const Geom2dAdaptor_Curve& TopOpeBRep_EdgesIntersector::Curve(const Standard_Integer Index) const 
{
  if      ( Index == 1 ) return myCurve1;
  else if ( Index == 2 ) return myCurve2;
  else Standard_Failure::Raise("TopOpeBRep_EdgesIntersector::Curve");
  
  return myCurve1;
}

//=======================================================================
//function : Face
//purpose  : 
//=======================================================================
const TopoDS_Shape& TopOpeBRep_EdgesIntersector::Face(const Standard_Integer Index) const 
{
  if      ( Index == 1 ) return myFace1;
  else if ( Index == 2 ) return myFace2;
  else Standard_Failure::Raise("TopOpeBRep_EdgesIntersector::Face");
  
  return myFace1;
}

//=======================================================================
//function : Surface
//purpose  : 
//=======================================================================
const BRepAdaptor_Surface& TopOpeBRep_EdgesIntersector::Surface(const Standard_Integer Index) const 
{
  if      ( Index == 1 ) return mySurface1->ChangeSurface();
  else if ( Index == 2 ) return mySurface2->ChangeSurface();
  else Standard_Failure::Raise("TopOpeBRep_EdgesIntersector::Surface");
  
  return mySurface1->ChangeSurface();
}

//=======================================================================
//function : SurfacesSameOriented
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::SurfacesSameOriented () const
{
  return mySurfacesSameOriented;
}

//=======================================================================
//function : FacesSameOriented
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::FacesSameOriented () const
{
  return myFacesSameOriented;
}

//=======================================================================
//function : InitPoint
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::InitPoint(const Standard_Boolean selectkeep)
{
  myselectkeep = selectkeep;
  myip2d = 1; mynp2d = mysp2d.Length();
  Find();
}

//=======================================================================
//function : MorePoint
//purpose  : 
//=======================================================================
Standard_Boolean TopOpeBRep_EdgesIntersector::MorePoint() const 
{
  Standard_Boolean b = (myip2d <= mynp2d);
  return b;
}

//=======================================================================
//function : NextPoint
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::NextPoint()
{
  myip2d++;
  Find();
}

//=======================================================================
//function : Find
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::Find()
{
  while (myip2d <= mynp2d) {
    if (myselectkeep) {
      Standard_Boolean kf = mysp2d(myip2d).Keep();
      if (kf) break;
      else myip2d++;
    }
    else {
      break;
    }
  }
}

//=======================================================================
//function : Points
//purpose  : 
//=======================================================================
const TopOpeBRep_SequenceOfPoint2d& TopOpeBRep_EdgesIntersector::Points() const
{
  return mysp2d;
}

//=======================================================================
//function : Point
//purpose  : 
//=======================================================================
const TopOpeBRep_Point2d& TopOpeBRep_EdgesIntersector::Point() const
{
  return mysp2d(myip2d);
}

//=======================================================================
//function : Point
//purpose  : 
//=======================================================================
const TopOpeBRep_Point2d& TopOpeBRep_EdgesIntersector::Point(const Standard_Integer I) const
{
  if (I<1 || I>mysp2d.Length()) Standard_Failure::Raise("TopOpeBRep_EdgesIntersector::Point(I)");
  return mysp2d(I);
}

//=======================================================================
//function : ToleranceMax
//purpose  : 
//=======================================================================
Standard_Real TopOpeBRep_EdgesIntersector::ToleranceMax() const 
{
  Standard_Real tol = Max(myTol1,myTol2);
  return tol;
}

//=======================================================================
//function : Tolerances
//purpose  : 
//=======================================================================
void TopOpeBRep_EdgesIntersector::Tolerances(Standard_Real& tol1, Standard_Real& tol2) const 
{
  tol1 = myTol1;
  tol2 = myTol2;
}

//=======================================================================
//function : NbPoints
//purpose  : (debug)
//=======================================================================
Standard_Integer TopOpeBRep_EdgesIntersector::NbPoints() const 
{ 
  return myNbPoints;
}

//=======================================================================
//function : NbSegments
//purpose  : (debug)
//=======================================================================
Standard_Integer TopOpeBRep_EdgesIntersector::NbSegments() const 
{
  return myNbSegments;
}

//=======================================================================
//function : Dump
//purpose  : 
//=======================================================================
#ifndef DEB
void TopOpeBRep_EdgesIntersector::Dump(const TCollection_AsciiString& ,const Standard_Integer ,const Standard_Integer )
{
#else
void TopOpeBRep_EdgesIntersector::Dump(const TCollection_AsciiString& str,const Standard_Integer E1index,const Standard_Integer E2index)
{
  InitPoint();if (!MorePoint()) return;
  cout<<endl<<"---- "<<str<<" ---- E/E : "<<NbPoints()<<" p , ";
  cout<<NbSegments()<<" s : "<<myTrueNbPoints<<" true points"<<endl;
  cout<<"E1 = "<<E1index<<" ";TopAbs::Print(Edge(1).Orientation(),cout)<<", ";
  cout<<"E2 = "<<E2index<<" ";TopAbs::Print(Edge(2).Orientation(),cout)<<"  ";
  cout<<"hs="<<HasSegment()<<" hsd="<<SameDomain()<<endl;
 
  for (InitPoint(); MorePoint(); NextPoint()) {
    const TopOpeBRep_Point2d P2d = Point();
    P2d.Dump(E1index,E2index);
    if (P2d.Status() == TopOpeBRep_P2DNEW) {
      Standard_Integer ip1,ip2; P2d.SegmentAncestors(ip1,ip2);
      Standard_Real d1 = Point(ip1).Value().Distance(Point(ip2).Value());
      Standard_Real d2 = d1 + Point(ip1).Tolerance()/2. + Point(ip2).Tolerance()/2.;
      cout<<"ancestor segment : d P"<<ip1<<",P"<<ip2<<" = "<<d1<<endl;
      cout<<"     t1/2 + d + t2/2 P"<<ip1<<",P"<<ip2<<" = "<<d2<<endl;
    }
  }
  cout<<endl;
#endif
}