]> SALOME platform Git repositories - modules/smesh.git/blobdiff - src/SMESH/SMESH_Quadrangle_2D.cxx
Salome HOME
NRI : First integration.
[modules/smesh.git] / src / SMESH / SMESH_Quadrangle_2D.cxx
diff --git a/src/SMESH/SMESH_Quadrangle_2D.cxx b/src/SMESH/SMESH_Quadrangle_2D.cxx
new file mode 100644 (file)
index 0000000..11d86c8
--- /dev/null
@@ -0,0 +1,650 @@
+using namespace std;
+//=============================================================================
+// File      : SMESH_Quadrangle_2D.cxx
+// Created   : sam mai 18 08:11:32 CEST 2002
+// Author    : Paul RASCLE, EDF
+// Project   : SALOME
+// Copyright : EDF 2002
+// $Header$
+//=============================================================================
+using namespace std;
+
+#include "SMESH_Quadrangle_2D.hxx"
+#include "SMESH_Gen.hxx"
+#include "SMESH_Mesh.hxx"
+
+#include "SMDS_MeshElement.hxx"
+#include "SMDS_MeshNode.hxx"
+#include "SMDS_EdgePosition.hxx"
+#include "SMDS_FacePosition.hxx"
+
+#include <BRep_Tool.hxx>
+#include <BRepTools.hxx>
+#include <BRepTools_WireExplorer.hxx>
+#include <Geom_Surface.hxx>
+#include <Geom_Curve.hxx>
+#include <Geom2d_Curve.hxx>
+#include <Handle_Geom2d_Curve.hxx>
+#include <Handle_Geom_Curve.hxx>
+#include <gp_Pnt2d.hxx>
+#include <TColStd_ListIteratorOfListOfInteger.hxx>
+
+#include "utilities.h"
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+SMESH_Quadrangle_2D::SMESH_Quadrangle_2D(int hypId, 
+                                        int studyId, 
+                                        SMESH_Gen* gen)
+  : SMESH_2D_Algo(hypId, studyId, gen)
+{
+  MESSAGE("SMESH_Quadrangle_2D::SMESH_Quadrangle_2D");
+  _name = "Quadrangle_2D";
+  //  _shapeType = TopAbs_FACE;
+  _shapeType = (1<<TopAbs_FACE);
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+SMESH_Quadrangle_2D::~SMESH_Quadrangle_2D()
+{
+  MESSAGE("SMESH_Quadrangle_2D::~SMESH_Quadrangle_2D");
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+bool SMESH_Quadrangle_2D::CheckHypothesis(SMESH_Mesh& aMesh,
+                                         const TopoDS_Shape& aShape)
+{
+  //MESSAGE("SMESH_Quadrangle_2D::CheckHypothesis");
+
+  bool isOk = true;
+
+  // nothing to check
+
+  return isOk;
+}
+
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+bool SMESH_Quadrangle_2D::Compute(SMESH_Mesh& aMesh,
+                                 const TopoDS_Shape& aShape)
+  throw (SALOME_Exception)
+{
+  //MESSAGE("SMESH_Quadrangle_2D::Compute");
+  const Handle(SMESHDS_Mesh)& meshDS = aMesh.GetMeshDS();
+  SMESH_subMesh* theSubMesh = aMesh.GetSubMesh(aShape);
+
+  FaceQuadStruct* quad = CheckAnd2Dcompute(aMesh, aShape);
+  if (!quad) return false;
+
+  // --- compute 3D values on points, store points & quadrangles
+
+  int nbdown = quad->nbPts[0];
+  int nbright = quad->nbPts[1];
+  int nbVertices = nbdown*nbright;
+  int nbQuad = (nbdown-1)*(nbright-1);
+  //SCRUTE(nbVertices);
+  //SCRUTE(nbQuad);
+
+  //   const TopoDS_Face& FF = TopoDS::Face(aShape);
+  //   bool faceIsForward = (FF.Orientation() == TopAbs_FORWARD);
+  //   TopoDS_Face F = TopoDS::Face(FF.Oriented(TopAbs_FORWARD));
+  const TopoDS_Face& F = TopoDS::Face(aShape);
+  bool faceIsForward = (F.Orientation() == TopAbs_FORWARD);
+  Handle(Geom_Surface) S = BRep_Tool::Surface(F);
+
+  for (int i=1; i<nbdown-1; i++)
+    for (int j=1; j<nbright-1; j++)    // internal points
+      {
+       int ij = j*nbdown +i;
+       double u = quad->uv_grid[ij].u;
+       double v = quad->uv_grid[ij].v;
+       gp_Pnt P = S->Value(u,v);
+       int nodeId = meshDS->AddNode(P.X(), P.Y(), P.Z());
+       //MESSAGE("point "<< nodeId<<" "<<" "<<P.X()<<" "<<P.Y()<<" "<<P.Z());
+       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
+       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
+       meshDS->SetNodeOnFace(node, F);
+       quad->uv_grid[ij].nodeId = nodeId; 
+//     Handle (SMDS_FacePosition) fpos
+//       = new SMDS_FacePosition(theSubMesh->GetId(),i,j); // easier than u,v
+//     node->SetPosition(fpos);
+       Handle (SMDS_FacePosition) fpos
+         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
+       fpos->SetUParameter(i);
+       fpos->SetVParameter(j);
+      }
+
+  //   bool isQuadForward = ( faceIsForward == quad->isEdgeForward[0]);
+  for (int i=0; i<nbdown-1; i++)
+    for (int j=0; j<nbright-1; j++)    // faces
+      {
+       int a = quad->uv_grid[   j *nbdown +i  ].nodeId;
+       int b = quad->uv_grid[   j *nbdown +i+1].nodeId;
+       int c = quad->uv_grid[(j+1)*nbdown +i+1].nodeId;
+       int d = quad->uv_grid[(j+1)*nbdown +i  ].nodeId;
+       int faceId;
+       //      if (isQuadForward) faceId = meshDS->AddFace(a,b,c,d);
+       //      else faceId = meshDS->AddFace(a,d,c,b);
+       faceId = meshDS->AddFace(a,b,c,d);
+       Handle (SMDS_MeshElement) elt = meshDS->FindElement(faceId);
+       meshDS->SetMeshElementOnShape(elt, F);
+      }
+
+  QuadDelete(quad);
+  bool isOk = true;
+  return isOk;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+FaceQuadStruct*
+SMESH_Quadrangle_2D::CheckAnd2Dcompute(SMESH_Mesh& aMesh,
+                                      const TopoDS_Shape& aShape)
+  throw (SALOME_Exception)
+{
+  //MESSAGE("SMESH_Quadrangle_2D::ComputeWithoutStore");
+
+  SMESH_subMesh* theSubMesh = aMesh.GetSubMesh(aShape);
+
+  //   const TopoDS_Face& FF = TopoDS::Face(aShape);
+  //   bool faceIsForward = (FF.Orientation() == TopAbs_FORWARD);
+  //   TopoDS_Face F = TopoDS::Face(FF.Oriented(TopAbs_FORWARD));
+  const TopoDS_Face& F = TopoDS::Face(aShape);
+  bool faceIsForward = (F.Orientation() == TopAbs_FORWARD);
+
+  // verify 1 wire only, with 4 edges, same number of points on opposite edges
+
+  if (NumberOfWires (F) != 1)
+    {
+      MESSAGE("only 1 wire by face (quadrangles)");
+      return 0;
+      //throw SALOME_Exception(LOCALIZED("only 1 wire by face (quadrangles)"));
+    }
+  //   const TopoDS_Wire WW = BRepTools::OuterWire(F);
+  //   TopoDS_Wire W = TopoDS::Wire(WW.Oriented(TopAbs_FORWARD));
+  const TopoDS_Wire& W = BRepTools::OuterWire(F);
+  BRepTools_WireExplorer wexp(W,F);    
+
+  FaceQuadStruct* quad = new FaceQuadStruct;
+  for (int i=0; i<4; i++) quad->uv_edges[i] = 0;
+  quad->uv_grid = 0;
+
+  int nbEdges = 0;
+  for (wexp.Init(W,F);wexp.More(); wexp.Next())
+    {
+      //       const TopoDS_Edge& EE = wexp.Current();
+      //       TopoDS_Edge E = TopoDS::Edge(EE.Oriented(TopAbs_FORWARD));
+      const TopoDS_Edge& E = wexp.Current();
+      int nb = aMesh.GetSubMesh(E)->GetSubMeshDS()->NbNodes();
+      if (nbEdges < 4)
+       {         
+         quad->edge[nbEdges] = E;
+         quad->nbPts[nbEdges] = nb +2; // internal points + 2 extrema
+       }
+      nbEdges++;
+    }
+
+  if (nbEdges != 4)
+    {
+      MESSAGE("face must have 4 edges /quadrangles");
+      QuadDelete(quad);
+      return 0;
+      //throw SALOME_Exception(LOCALIZED("face must have 4 edges /quadrangles"));
+    }
+
+  if (quad->nbPts[0] != quad->nbPts[2])
+    {
+      MESSAGE("different point number-opposed edge");
+      QuadDelete(quad);
+      return 0;
+      //throw SALOME_Exception(LOCALIZED("different point number-opposed edge"));
+    }
+
+  if (quad->nbPts[1] != quad->nbPts[3])
+    {
+      MESSAGE("different point number-opposed edge");
+      QuadDelete(quad);
+      return 0;
+      //throw SALOME_Exception(LOCALIZED("different point number-opposed edge"));
+    }
+
+  // set normalized grid on unit square in parametric domain
+
+  SetNormalizedGrid(aMesh, F, quad);
+  
+  return quad;
+}
+
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+  void SMESH_Quadrangle_2D::QuadDelete(FaceQuadStruct* quad)
+{
+  //MESSAGE("SMESH_Quadrangle_2D::QuadDelete");
+  if (quad)
+    {
+      for (int i=0; i<4; i++)
+       {
+         if (quad->uv_edges[i]) delete [] quad->uv_edges[i];
+         quad->edge[i].Nullify();
+       }
+      if (quad->uv_grid) delete [] quad->uv_grid;
+      delete quad;
+   }
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+void SMESH_Quadrangle_2D::SetNormalizedGrid(SMESH_Mesh& aMesh,
+                                           const TopoDS_Shape& aShape,
+                                           FaceQuadStruct* quad)
+  throw (SALOME_Exception)
+{
+  // Algorithme décrit dans "Génération automatique de maillages"
+  // P.L. GEORGE, MASSON, § 6.4.1 p. 84-85
+  // traitement dans le domaine paramétrique 2d u,v
+  // transport - projection sur le carré unité
+
+  const TopoDS_Face& F = TopoDS::Face(aShape);
+
+  // 1 --- find orientation of the 4 edges, by test on extrema
+
+  //      max             min                    0     x1     1
+  //     |<----north-2-------^                a3 -------------> a2
+  //     |                   |                   ^1          1^
+  //    west-3            east-1 =right          |            |
+  //     |                   |         ==>       |            |
+  //  y0 |                   | y1                |            |
+  //     |                   |                   |0          0|
+  //     v----south-0-------->                a0 -------------> a1
+  //      min             max                    0     x0     1
+  //             =down
+  //
+
+  Handle (Geom2d_Curve) c2d[4];
+  gp_Pnt2d pf[4];
+  gp_Pnt2d pl[4];
+  for (int i=0; i<4; i++)
+    {
+      c2d[i] = BRep_Tool::CurveOnSurface(quad->edge[i],
+                                        F,
+                                        quad->first[i],
+                                        quad->last[i]);
+      pf[i] = c2d[i]->Value(quad->first[i]);
+      pl[i] = c2d[i]->Value(quad->last[i]);
+      quad->isEdgeForward[i] = false;
+    }
+
+  double eps2d = 1.e-3; // *** utiliser plutot TopExp::CommonVertex, puis
+                        // distances si piece fausse
+  int i=0;
+  if ((pf[1].Distance(pl[0]) < eps2d) || (pl[1].Distance(pl[0]) < eps2d))
+    {
+      quad->isEdgeForward[0] = true;
+    }
+  else
+    {
+      double tmp =quad->first[0];
+      quad->first[0] = quad->last[0];
+      quad->last[0] = tmp;
+      pf[0] = c2d[0]->Value(quad->first[0]);
+      pl[0] = c2d[0]->Value(quad->last[0]);
+    }
+  for (int i=1; i<4; i++)
+    {
+      quad->isEdgeForward[i] = (pf[i].Distance(pl[i-1]) < eps2d);
+      if (! quad->isEdgeForward[i])
+       {
+         double tmp =quad->first[i];
+         quad->first[i] = quad->last[i];
+         quad->last[i] = tmp;
+         pf[i] = c2d[i]->Value(quad->first[i]);
+         pl[i] = c2d[i]->Value(quad->last[i]);
+         //SCRUTE(pf[i].Distance(pl[i-1]));
+         ASSERT(pf[i].Distance(pl[i-1]) < eps2d);
+       }
+    }
+  //SCRUTE(pf[0].Distance(pl[3]));
+  ASSERT(pf[0].Distance(pl[3]) < eps2d);
+
+//   for (int i=0; i<4; i++)
+//     {
+//       SCRUTE(quad->isEdgeForward[i]);
+//       MESSAGE(" -first "<<i<<" "<<pf[i].X()<<" "<<pf[i].Y());
+//       MESSAGE(" -last  "<<i<<" "<<pl[i].X()<<" "<<pl[i].Y());
+//     }
+
+  // 2 --- load 2d edge points (u,v) with orientation and value on unit square
+
+  for (int i=0; i<2; i++)
+    {
+      quad->uv_edges[i] = LoadEdgePoints(aMesh, F,
+                                        quad->edge[i],
+                                        quad->first[i],
+                                        quad->last[i]);
+
+      //                                            quad->isEdgeForward[i]);
+    }
+  for (int i=2; i<4; i++)
+    {
+      quad->uv_edges[i] = LoadEdgePoints(aMesh, F,
+                                        quad->edge[i],
+                                        quad->last[i],
+                                        quad->first[i]);
+
+      //                                            !quad->isEdgeForward[i]);
+    }
+
+  // 3 --- 2D normalized values on unit square [0..1][0..1]
+
+  int nbdown = quad->nbPts[0];
+  int nbright = quad->nbPts[1];
+  quad->uv_grid  = new UVPtStruct[nbright*nbdown];
+
+  UVPtStruct* uv_grid = quad->uv_grid;
+  UVPtStruct* uv_e0   = quad->uv_edges[0];
+  UVPtStruct* uv_e1   = quad->uv_edges[1];
+  UVPtStruct* uv_e2   = quad->uv_edges[2];
+  UVPtStruct* uv_e3   = quad->uv_edges[3];
+  gp_Pnt2d a0 = pf[0];
+  gp_Pnt2d a1 = pf[1];
+  gp_Pnt2d a2 = pf[2];
+  gp_Pnt2d a3 = pf[3];
+
+  // nodes Id on edges
+
+  int j = 0;
+  for (int i=0; i<nbdown; i++)
+    {
+      int ij = j*nbdown +i;
+      uv_grid[ij].nodeId = uv_e0[i].nodeId;
+    }
+  i = nbdown-1;
+  for (int j=0; j<nbright; j++)
+    {
+      int ij = j*nbdown +i;
+      uv_grid[ij].nodeId = uv_e1[j].nodeId;
+    }
+  j = nbright -1;
+  for (int i=0; i<nbdown; i++)
+    {
+      int ij = j*nbdown +i;
+      uv_grid[ij].nodeId = uv_e2[i].nodeId;
+    }
+  i = 0;
+  for (int j=0; j<nbright; j++)
+    {
+      int ij = j*nbdown +i;
+      uv_grid[ij].nodeId = uv_e3[j].nodeId;
+    }
+
+  // normalized 2d values on grid
+
+  for (int i=0; i<nbdown; i++)
+    for (int j=0; j<nbright; j++)
+      {
+       int ij = j*nbdown +i;
+       // --- droite i cste : x = x0 + y(x1-x0)
+       double x0 = uv_e0[i].normParam;              // bas - sud
+       double x1 = uv_e2[i].normParam;              // haut - nord
+       // --- droite j cste : y = y0 + x(y1-y0)
+       double y0 = uv_e3[j].normParam;              // gauche-ouest
+       double y1 = uv_e1[j].normParam;              // droite - est
+       // --- intersection : x=x0+(y0+x(y1-y0))(x1-x0)
+       double x=(x0+y0*(x1-x0))/(1-(y1-y0)*(x1-x0));
+       double y=y0+x*(y1-y0);
+       uv_grid[ij].x = x;
+       uv_grid[ij].y = y;
+       //MESSAGE("-xy-01 "<<x0<<" "<<x1<<" "<<y0<<" "<<y1);
+       //MESSAGE("-xy-norm "<<i<<" "<<j<<" "<<x<<" "<<y);
+      }
+
+  // 4 --- projection on 2d domain (u,v)
+
+  for (int i=0; i<nbdown; i++)
+    for (int j=0; j<nbright; j++)
+      {
+       int ij = j*nbdown +i;
+       double x = uv_grid[ij].x;
+       double y = uv_grid[ij].y;
+       double param_0 = uv_e0[0].param
+         + x*(uv_e0[nbdown-1].param -uv_e0[0].param);     // sud
+       double param_2 = uv_e2[0].param
+         + x*(uv_e2[nbdown-1].param -uv_e2[0].param);     // nord
+       double param_1 = uv_e1[0].param
+         + y*(uv_e1[nbright-1].param -uv_e1[0].param);    // est
+       double param_3 = uv_e3[0].param
+         + y*(uv_e3[nbright-1].param -uv_e3[0].param);    // ouest
+
+       //MESSAGE("params "<<param_0<<" "<<param_1<<" "<<param_2<<" "<<param_3);
+       gp_Pnt2d p0 = c2d[0]->Value(param_0);
+       gp_Pnt2d p1 = c2d[1]->Value(param_1);
+       gp_Pnt2d p2 = c2d[2]->Value(param_2);
+       gp_Pnt2d p3 = c2d[3]->Value(param_3);
+
+       double u = (1-y)*p0.X() + x*p1.X() + y*p2.X() + (1-x)*p3.X();
+       double v = (1-y)*p0.Y() + x*p1.Y() + y*p2.Y() + (1-x)*p3.Y();
+
+       u -= (1-x)*(1-y)*a0.X() + x*(1-y)*a1.X() + x*y*a2.X() + (1-x)*y*a3.X();
+       v -= (1-x)*(1-y)*a0.Y() + x*(1-y)*a1.Y() + x*y*a2.Y() + (1-x)*y*a3.Y();
+
+       uv_grid[ij].u = u;
+       uv_grid[ij].v = v;
+
+       //MESSAGE("-uv- "<<i<<" "<<j<<" "<<uv_grid[ij].u<<" "<<uv_grid[ij].v);
+      }
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+UVPtStruct* SMESH_Quadrangle_2D::LoadEdgePoints(SMESH_Mesh& aMesh,
+                                               const TopoDS_Face& F,
+                                               const TopoDS_Edge& E,
+                                               double first,
+                                               double last)
+  //                                           bool isForward)
+{
+  //MESSAGE("SMESH_Quadrangle_2D::LoadEdgePoints");
+
+  Handle (SMDS_Mesh) meshDS = aMesh.GetMeshDS();
+
+  // --- IDNodes of first and last Vertex
+
+  TopoDS_Vertex VFirst, VLast;
+  TopExp::Vertices(E, VFirst, VLast); // corresponds to f and l
+  
+  ASSERT(!VFirst.IsNull());
+  SMESH_subMesh* firstSubMesh = aMesh.GetSubMesh(VFirst);
+  const TColStd_ListOfInteger& lidf
+    = firstSubMesh->GetSubMeshDS()->GetIDNodes();
+  int idFirst= lidf.First();
+  //SCRUTE(idFirst);
+  
+  ASSERT(!VLast.IsNull());
+  SMESH_subMesh* lastSubMesh = aMesh.GetSubMesh(VLast);
+  const TColStd_ListOfInteger& lidl
+    = lastSubMesh->GetSubMeshDS()->GetIDNodes();
+  int idLast= lidl.First();
+  //SCRUTE(idLast);
+
+  // --- edge internal IDNodes (relies on good order storage, not checked)
+
+  int nbPoints = aMesh.GetSubMesh(E)->GetSubMeshDS()->NbNodes();
+  //SCRUTE(nbPoints);
+  UVPtStruct * uvslf = new UVPtStruct[nbPoints+2];
+  
+  double f,l;
+  Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E,F,f,l);
+  
+  const TColStd_ListOfInteger& indElt
+    = aMesh.GetSubMesh(E)->GetSubMeshDS()->GetIDNodes();
+  TColStd_ListIteratorOfListOfInteger ite(indElt);
+  //SCRUTE(nbPoints);
+  //SCRUTE(indElt.Extent());
+  ASSERT(nbPoints == indElt.Extent());
+
+  map<double,int> params;
+  for (; ite.More(); ite.Next())
+    {
+      int nodeId = ite.Value();
+      Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
+      Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
+      Handle (SMDS_EdgePosition) epos
+       = Handle (SMDS_EdgePosition)::DownCast(node->GetPosition());
+      double param = epos->GetUParameter();
+      params[param] = nodeId;
+    }
+
+  bool isForward = (((l-f)*(last-first)) > 0);
+  double paramin = 0;
+  double paramax = 0;
+  if (isForward)
+    {
+      paramin = f;
+      paramax = l;
+      gp_Pnt2d p = C2d->Value(f);           // first point = Vertex Forward
+      uvslf [0].x = p.X();
+      uvslf [0].y = p.Y();
+      uvslf [0].param = f;
+      uvslf [0].nodeId = idFirst;
+      //MESSAGE("__ f "<<f<<" "<<uvslf[0].x <<" "<<uvslf[0].y);
+      map<double,int>::iterator itp = params.begin();
+      for (int i = 1; i <= nbPoints; i++)   // nbPoints internal
+       {
+         double param = (*itp).first;
+         int nodeId = (*itp).second;
+         gp_Pnt2d p = C2d->Value(param);
+         uvslf [i].x = p.X();
+         uvslf [i].y = p.Y();
+         uvslf[i].param = param;
+         uvslf[i].nodeId = nodeId;
+         //MESSAGE("__ "<<i<<" "<<param<<" "<<uvslf[i].x <<" "<<uvslf[i].y);
+         itp++;
+       }
+      p = C2d->Value(l);                    // last point = Vertex Reversed
+      uvslf [nbPoints+1].x = p.X();
+      uvslf [nbPoints+1].y = p.Y();
+      uvslf [nbPoints+1].param = l;
+      uvslf [nbPoints+1].nodeId = idLast;
+      //MESSAGE("__ l "<<l<<" "<<uvslf[nbPoints+1].x <<" "<<uvslf[nbPoints+1].y);
+    }
+  else 
+    {
+      paramin = l;
+      paramax = f;
+      gp_Pnt2d p = C2d->Value(l);           // first point = Vertex Reversed
+      uvslf [0].x = p.X();
+      uvslf [0].y = p.Y();
+      uvslf [0].param = l;
+      uvslf [0].nodeId = idLast;
+      //MESSAGE("__ l "<<l<<" "<<uvslf[0].x <<" "<<uvslf[0].y);
+      map<double,int>::reverse_iterator itp = params.rbegin();
+      for (int j = nbPoints; j >= 1; j--)     // nbPoints internal
+       {
+         double param = (*itp).first;
+         int nodeId = (*itp).second;
+         int i = nbPoints +1 -j;
+         gp_Pnt2d p = C2d->Value(param);
+         uvslf [i].x = p.X();
+         uvslf [i].y = p.Y();
+         uvslf[i].param = param;
+         uvslf[i].nodeId = nodeId;
+         //MESSAGE("__ "<<i<<" "<<param<<" "<<uvslf[i].x <<" "<<uvslf[i].y);
+         itp++;
+       }
+      p = C2d->Value(f);                    // last point = Vertex Forward
+      uvslf [nbPoints+1].x = p.X();
+      uvslf [nbPoints+1].y = p.Y();
+      uvslf [nbPoints+1].param = f;
+      uvslf [nbPoints+1].nodeId = idFirst;
+      //MESSAGE("__ f "<<f<<" "<<uvslf[nbPoints+1].x <<" "<<uvslf[nbPoints+1].y);
+    }
+
+  ASSERT(paramin != paramax);
+  for (int i = 0; i< nbPoints+2; i++)
+    {
+      uvslf[i].normParam = (uvslf[i].param -paramin)/(paramax -paramin);
+      //SCRUTE(uvslf[i].normParam);
+    }
+
+  return uvslf;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+ostream & SMESH_Quadrangle_2D::SaveTo(ostream & save)
+{
+  return save << this;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+istream & SMESH_Quadrangle_2D::LoadFrom(istream & load)
+{
+  return load >> (*this);
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+ostream & operator << (ostream & save, SMESH_Quadrangle_2D & hyp)
+{
+  return save;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+istream & operator >> (istream & load, SMESH_Quadrangle_2D & hyp)
+{
+  return load;
+}