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correct a small bug detected when using different wire discretisation
[modules/smesh.git] / src / SMESH / SMESH_Hexa_3D.cxx
index fb45787805645a23f5c931fea2e86be20e305ca6..94c6ec47c00838d45e0a512e60228c4737df19be 100644 (file)
@@ -1,14 +1,32 @@
-using namespace std;
-//=============================================================================
-// File      : SMESH_Hexa_3D.cxx
-// Created   : sam mai 18 23:15:30 CEST 2002
-// Author    : Paul RASCLE, EDF
-// Project   : SALOME
-// Copyright : EDF 2002
-// $Header$
-//=============================================================================
-using namespace std;
+//  SMESH SMESH : implementaion of SMESH idl descriptions
+//
+//  Copyright (C) 2003  OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
+//  CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS 
+// 
+//  This library is free software; you can redistribute it and/or 
+//  modify it under the terms of the GNU Lesser General Public 
+//  License as published by the Free Software Foundation; either 
+//  version 2.1 of the License. 
+// 
+//  This library is distributed in the hope that it will be useful, 
+//  but WITHOUT ANY WARRANTY; without even the implied warranty of 
+//  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU 
+//  Lesser General Public License for more details. 
+// 
+//  You should have received a copy of the GNU Lesser General Public 
+//  License along with this library; if not, write to the Free Software 
+//  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA 
+// 
+//  See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org 
+//
+//
+//
+//  File   : SMESH_Hexa_3D.cxx
+//  Author : Paul RASCLE, EDF
+//  Module : SMESH
+//  $Header$
 
+using namespace std;
 #include "SMESH_Hexa_3D.hxx"
 #include "SMESH_Quadrangle_2D.hxx"
 #include "SMESH_Gen.hxx"
@@ -33,7 +51,6 @@ using namespace std;
 
 #include "utilities.h"
 
-
 //=============================================================================
 /*!
  *  
@@ -41,15 +58,15 @@ using namespace std;
 //=============================================================================
 
 SMESH_Hexa_3D::SMESH_Hexa_3D(int hypId, int studyId,
-                            SMESH_Gen* gen)
-  : SMESH_3D_Algo(hypId, studyId, gen)
+       SMESH_Gen * gen):SMESH_3D_Algo(hypId, studyId, gen)
 {
-  MESSAGE("SMESH_Hexa_3D::SMESH_Hexa_3D");
-  _name = "Hexa_3D";
+       MESSAGE("SMESH_Hexa_3D::SMESH_Hexa_3D");
+       _name = "Hexa_3D";
 //   _shapeType = TopAbs_SOLID;
-  _shapeType = (1 << TopAbs_SHELL) | (1 << TopAbs_SOLID);// 1 bit /shape type
+       _shapeType = (1 << TopAbs_SHELL) | (1 << TopAbs_SOLID); // 1 bit /shape type
 //   MESSAGE("_shapeType octal " << oct << _shapeType);
-  for (int i=0; i<6; i++) _quads[i] = 0;
+       for (int i = 0; i < 6; i++)
+               _quads[i] = 0;
 }
 
 //=============================================================================
@@ -60,7 +77,7 @@ SMESH_Hexa_3D::SMESH_Hexa_3D(int hypId, int studyId,
 
 SMESH_Hexa_3D::~SMESH_Hexa_3D()
 {
-  MESSAGE("SMESH_Hexa_3D::~SMESH_Hexa_3D");
+       MESSAGE("SMESH_Hexa_3D::~SMESH_Hexa_3D");
 }
 
 //=============================================================================
@@ -69,16 +86,16 @@ SMESH_Hexa_3D::~SMESH_Hexa_3D()
  */
 //=============================================================================
 
-bool SMESH_Hexa_3D::CheckHypothesis(SMESH_Mesh& aMesh,
-                                   const TopoDS_Shape& aShape)
+bool SMESH_Hexa_3D::CheckHypothesis(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape)
 {
-  MESSAGE("SMESH_Hexa_3D::CheckHypothesis");
+       MESSAGE("SMESH_Hexa_3D::CheckHypothesis");
 
-  bool isOk = true;
+       bool isOk = true;
 
-  // nothing to check
+       // nothing to check
 
-  return isOk;
+       return isOk;
 }
 
 //=============================================================================
@@ -94,619 +111,638 @@ bool SMESH_Hexa_3D::CheckHypothesis(SMESH_Mesh& aMesh,
  */
 //=============================================================================
 
-bool SMESH_Hexa_3D::Compute(SMESH_Mesh& aMesh,
-                           const TopoDS_Shape& aShape)
-  throw (SALOME_Exception)
+bool SMESH_Hexa_3D::Compute(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape)throw(SALOME_Exception)
 {
-  MESSAGE("SMESH_Hexa_3D::Compute");
-
-  bool isOk = false;
-  const Handle(SMESHDS_Mesh)& meshDS = aMesh.GetMeshDS();
-  SMESH_subMesh* theSubMesh = aMesh.GetSubMesh(aShape);
-  //const Handle(SMESHDS_SubMesh)& subMeshDS = theSubMesh->GetSubMeshDS();
-
-  // 0.  - shape and face mesh verification
-  // 0.1 - shape must be a solid (or a shell) with 6 faces
-  MESSAGE("---");
-
-  vector<SMESH_subMesh*> meshFaces;
-  for (TopExp_Explorer exp(aShape,TopAbs_FACE);exp.More();exp.Next())
-    {
-      SMESH_subMesh* aSubMesh = aMesh.GetSubMeshContaining(exp.Current());
-      ASSERT (aSubMesh);
-      meshFaces.push_back(aSubMesh);
-    }
-  if (meshFaces.size() != 6)
-    {
-      SCRUTE(meshFaces.size());
-      ASSERT(0);
-      return false;
-    }
-
-  // 0.2 - is each face meshed with Quadrangle_2D? (so, with a wire of 4 edges)
-  MESSAGE("---");
-
-  for (int i=0; i<6; i++)
-    {
-      TopoDS_Shape aShape = meshFaces[i]->GetSubShape();
-      SMESH_Algo* algo = _gen->GetAlgo(aMesh, aShape);
-      string algoName = algo->GetName();
-      if (algoName != "Quadrangle_2D")
+       MESSAGE("SMESH_Hexa_3D::Compute");
+
+       bool isOk = false;
+       SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
+       SMESH_subMesh *theSubMesh = aMesh.GetSubMesh(aShape);
+       //const SMESHDS_SubMesh *& subMeshDS = theSubMesh->GetSubMeshDS();
+
+       // 0.  - shape and face mesh verification
+       // 0.1 - shape must be a solid (or a shell) with 6 faces
+       MESSAGE("---");
+
+       vector < SMESH_subMesh * >meshFaces;
+       for (TopExp_Explorer exp(aShape, TopAbs_FACE); exp.More(); exp.Next())
        {
-         // *** delete _quads
-         SCRUTE(algoName);
-         ASSERT(0);
-         return false;
+               SMESH_subMesh *aSubMesh = aMesh.GetSubMeshContaining(exp.Current());
+               ASSERT(aSubMesh);
+               meshFaces.push_back(aSubMesh);
        }
-      SMESH_Quadrangle_2D* quadAlgo =dynamic_cast<SMESH_Quadrangle_2D*> (algo);
-      ASSERT(quadAlgo);
-      try
+       if (meshFaces.size() != 6)
        {
-         _quads[i] = quadAlgo->CheckAnd2Dcompute(aMesh, aShape);
-         // *** to delete after usage
+               SCRUTE(meshFaces.size());
+               ASSERT(0);
+               return false;
        }
-      catch (SALOME_Exception& S_ex)
+
+       // 0.2 - is each face meshed with Quadrangle_2D? (so, with a wire of 4 edges)
+       MESSAGE("---");
+
+       for (int i = 0; i < 6; i++)
        {
-         // *** delete _quads
-         // *** throw exception
-         ASSERT(0);
+               TopoDS_Shape aShape = meshFaces[i]->GetSubShape();
+               SMESH_Algo *algo = _gen->GetAlgo(aMesh, aShape);
+               string algoName = algo->GetName();
+               if (algoName != "Quadrangle_2D")
+               {
+                       // *** delete _quads
+                       SCRUTE(algoName);
+                       ASSERT(0);
+                       return false;
+               }
+               SMESH_Quadrangle_2D *quadAlgo =
+                       dynamic_cast < SMESH_Quadrangle_2D * >(algo);
+               ASSERT(quadAlgo);
+               try
+               {
+                       _quads[i] = quadAlgo->CheckAnd2Dcompute(aMesh, aShape);
+                       // *** to delete after usage
+               }
+               catch(SALOME_Exception & S_ex)
+               {
+                       // *** delete _quads
+                       // *** throw exception
+                       ASSERT(0);
+               }
        }
-    }
-
-  // 1.  - identify faces and vertices of the "cube"
-  // 1.1 - ancestor maps vertex->edges in the cube
-  MESSAGE("---");
-
-  TopTools_IndexedDataMapOfShapeListOfShape MS;
-  TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, MS);
-
-  // 1.2 - first face is choosen as face Y=0 of the unit cube
-  MESSAGE("---");
-
-  const TopoDS_Shape& aFace = meshFaces[0]->GetSubShape();
-  const TopoDS_Face& F = TopoDS::Face(aFace);
-
-  // 1.3 - identify the 4 vertices of the face Y=0: V000, V100, V101, V001
-  MESSAGE("---");
-
-  int i = 0;
-  TopoDS_Edge E = _quads[0]->edge[i]; //edge will be Y=0,Z=0 on unit cube
-  double f,l;
-  Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E,F,f,l);
-  TopoDS_Vertex VFirst, VLast;
-  TopExp::Vertices(E, VFirst, VLast); // corresponds to f and l
-  bool isForward = (((l-f)*(_quads[0]->last[i] - _quads[0]->first[i])) > 0);
-
-  if (isForward)
-    {
-      _cube.V000 = VFirst; // will be (0,0,0) on the unit cube
-      _cube.V100 = VLast;  // will be (1,0,0) on the unit cube
-    }
-  else
-    {
-      _cube.V000 = VLast;
-      _cube.V100 = VFirst;
-    }
-  
-  i = 1;
-  E = _quads[0]->edge[i];
-  C2d = BRep_Tool::CurveOnSurface(E,F,f,l);
-  TopExp::Vertices(E, VFirst, VLast);
-  isForward = (((l-f)*(_quads[0]->last[i] - _quads[0]->first[i])) > 0);
-  if (isForward) _cube.V101 = VLast;  // will be (1,0,1) on the unit cube
-  else _cube.V101 = VFirst;
-
-  i = 2;
-  E = _quads[0]->edge[i];
-  C2d = BRep_Tool::CurveOnSurface(E,F,f,l);
-  TopExp::Vertices(E, VFirst, VLast);
-  isForward = (((l-f)*(_quads[0]->last[i] - _quads[0]->first[i])) > 0);
-  if (isForward) _cube.V001 = VLast;  // will be (0,0,1) on the unit cube
-  else _cube.V001 = VFirst;
-
-  // 1.4 - find edge X=0, Z=0 (ancestor of V000 not in face Y=0)
-  //     - find edge X=1, Z=0 (ancestor of V100 not in face Y=0)
-  //     - find edge X=1, Z=1 (ancestor of V101 not in face Y=0) 
-  //     - find edge X=0, Z=1 (ancestor of V001 not in face Y=0)
-  MESSAGE("---");
-
-  TopoDS_Edge E_0Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V000, MS);
-  ASSERT(! E_0Y0.IsNull());
-
-  TopoDS_Edge E_1Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V100, MS);
-  ASSERT(! E_1Y0.IsNull());
-  
-  TopoDS_Edge E_1Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V101, MS);
-  ASSERT(! E_1Y1.IsNull());
-
-  TopoDS_Edge E_0Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V001, MS);
-  ASSERT(! E_0Y1.IsNull());
-  
-  // 1.5 - identify the 4 vertices in face Y=1: V010, V110, V111, V011
-  MESSAGE("---");
-
-  TopExp::Vertices(E_0Y0, VFirst, VLast);
-  if (VFirst.IsSame(_cube.V000)) _cube.V010 = VLast;
-  else _cube.V010 = VFirst;
-
-  TopExp::Vertices(E_1Y0, VFirst, VLast);
-  if (VFirst.IsSame(_cube.V100)) _cube.V110 = VLast;
-  else _cube.V110 = VFirst;
-
-  TopExp::Vertices(E_1Y1, VFirst, VLast);
-  if (VFirst.IsSame(_cube.V101)) _cube.V111 = VLast;
-  else _cube.V111 = VFirst;
-
-  TopExp::Vertices(E_0Y1, VFirst, VLast);
-  if (VFirst.IsSame(_cube.V001)) _cube.V011 = VLast;
-  else _cube.V011 = VFirst;
-
-  // 1.6 - find remaining faces given 4 vertices
-  MESSAGE("---");
-
-  _indY0 = 0;
-  _cube.quad_Y0 = _quads[_indY0];
-
-  _indY1 = GetFaceIndex(aMesh, aShape, meshFaces,
-                       _cube.V010,_cube.V011,_cube.V110,_cube.V111);
-  _cube.quad_Y1 = _quads[_indY1];
-
-  _indZ0 = GetFaceIndex(aMesh, aShape, meshFaces,
-                       _cube.V000,_cube.V010,_cube.V100,_cube.V110);
-  _cube.quad_Z0 = _quads[_indZ0];
-
-  _indZ1 = GetFaceIndex(aMesh, aShape, meshFaces,
-                 _cube.V001,_cube.V011,_cube.V101,_cube.V111);
-  _cube.quad_Z1 = _quads[_indZ1];
-
-  _indX0 = GetFaceIndex(aMesh, aShape, meshFaces,
-                       _cube.V000,_cube.V001,_cube.V010,_cube.V011);
-  _cube.quad_X0 = _quads[_indX0];
-
-  _indX1 = GetFaceIndex(aMesh, aShape, meshFaces,
-                       _cube.V100,_cube.V101,_cube.V110,_cube.V111);
-  _cube.quad_X1 = _quads[_indX1];
-
-  MESSAGE("---");
-
-  // 1.7 - get convertion coefs from face 2D normalized to 3D normalized
-
-  Conv2DStruct cx0; // for face X=0
-  Conv2DStruct cx1; // for face X=1
-  Conv2DStruct cy0;
-  Conv2DStruct cy1;
-  Conv2DStruct cz0;
-  Conv2DStruct cz1;
-
-  GetConv2DCoefs(*_cube.quad_X0, meshFaces[_indX0]->GetSubShape(),
-                _cube.V000,_cube.V010,_cube.V011,_cube.V001,
-                cx0);
-  GetConv2DCoefs(*_cube.quad_X1, meshFaces[_indX1]->GetSubShape(),
-                _cube.V100,_cube.V110,_cube.V111,_cube.V101,
-                cx1);
-  GetConv2DCoefs(*_cube.quad_Y0, meshFaces[_indY0]->GetSubShape(),
-                _cube.V000,_cube.V100,_cube.V101,_cube.V001,
-                cy0);
-  GetConv2DCoefs(*_cube.quad_Y1, meshFaces[_indY1]->GetSubShape(),
-                _cube.V010,_cube.V110,_cube.V111,_cube.V011,
-                cy1);
-  GetConv2DCoefs(*_cube.quad_Z0, meshFaces[_indZ0]->GetSubShape(),
-                _cube.V000,_cube.V100,_cube.V110,_cube.V010,
-                cz0);
-  GetConv2DCoefs(*_cube.quad_Z1, meshFaces[_indZ1]->GetSubShape(),
-                _cube.V001,_cube.V101,_cube.V111,_cube.V011,
-                cz1);
-
-  // 1.8 - create a 3D structure for normalized values
-
-  MESSAGE("---");
-  int nbx = _cube.quad_Y0->nbPts[0];
-  int nby = _cube.quad_Y0->nbPts[1];
-  int nbz;
-  if (cx0.a1 != 0) nbz = _cube.quad_X0->nbPts[1];
-  else  nbz = _cube.quad_X0->nbPts[0];
-  //SCRUTE(nbx);
-  //SCRUTE(nby);
-  //SCRUTE(nbz);
-  int nbxyz= nbx*nby*nbz;
-  Point3DStruct* np = new Point3DStruct[nbxyz];
-
-  // 1.9 - store node indexes of faces
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indX0]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_X0;
-    int i=0; // j = x/face , k = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+
+       // 1.  - identify faces and vertices of the "cube"
+       // 1.1 - ancestor maps vertex->edges in the cube
+       MESSAGE("---");
+
+       TopTools_IndexedDataMapOfShapeListOfShape MS;
+       TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, MS);
+
+       // 1.2 - first face is choosen as face Y=0 of the unit cube
+       MESSAGE("---");
+
+       const TopoDS_Shape & aFace = meshFaces[0]->GetSubShape();
+       const TopoDS_Face & F = TopoDS::Face(aFace);
+
+       // 1.3 - identify the 4 vertices of the face Y=0: V000, V100, V101, V001
+       MESSAGE("---");
+
+       int i = 0;
+       TopoDS_Edge E = _quads[0]->edge[i];     //edge will be Y=0,Z=0 on unit cube
+       double f, l;
+       Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
+       TopoDS_Vertex VFirst, VLast;
+       TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
+       bool isForward =
+               (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
+
+       if (isForward)
        {
-         int ij1 = j1*nbdown +i1;
-         int j = cx0.ia*i1 + cx0.ib*j1 + cx0.ic; // j = x/face
-         int k = cx0.ja*i1 + cx0.jb*j1 + cx0.jc; // k = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               _cube.V000 = VFirst;    // will be (0,0,0) on the unit cube
+               _cube.V100 = VLast;             // will be (1,0,0) on the unit cube
        }
-  }
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indX1]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_X1;
-    int i=nbx-1; // j = x/face , k = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+       else
        {
-         int ij1 = j1*nbdown +i1;
-         int j = cx1.ia*i1 + cx1.ib*j1 + cx1.ic; // j = x/face
-         int k = cx1.ja*i1 + cx1.jb*j1 + cx1.jc; // k = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               _cube.V000 = VLast;
+               _cube.V100 = VFirst;
        }
-  }
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indY0]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_Y0;
-    int j=0; // i = x/face , k = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+
+       i = 1;
+       E = _quads[0]->edge[i];
+       C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
+       TopExp::Vertices(E, VFirst, VLast);
+       isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
+       if (isForward)
+               _cube.V101 = VLast;             // will be (1,0,1) on the unit cube
+       else
+               _cube.V101 = VFirst;
+
+       i = 2;
+       E = _quads[0]->edge[i];
+       C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
+       TopExp::Vertices(E, VFirst, VLast);
+       isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
+       if (isForward)
+               _cube.V001 = VLast;             // will be (0,0,1) on the unit cube
+       else
+               _cube.V001 = VFirst;
+
+       // 1.4 - find edge X=0, Z=0 (ancestor of V000 not in face Y=0)
+       //     - find edge X=1, Z=0 (ancestor of V100 not in face Y=0)
+       //     - find edge X=1, Z=1 (ancestor of V101 not in face Y=0) 
+       //     - find edge X=0, Z=1 (ancestor of V001 not in face Y=0)
+       MESSAGE("---");
+
+       TopoDS_Edge E_0Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V000, MS);
+       ASSERT(!E_0Y0.IsNull());
+
+       TopoDS_Edge E_1Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V100, MS);
+       ASSERT(!E_1Y0.IsNull());
+
+       TopoDS_Edge E_1Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V101, MS);
+       ASSERT(!E_1Y1.IsNull());
+
+       TopoDS_Edge E_0Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V001, MS);
+       ASSERT(!E_0Y1.IsNull());
+
+       // 1.5 - identify the 4 vertices in face Y=1: V010, V110, V111, V011
+       MESSAGE("---");
+
+       TopExp::Vertices(E_0Y0, VFirst, VLast);
+       if (VFirst.IsSame(_cube.V000))
+               _cube.V010 = VLast;
+       else
+               _cube.V010 = VFirst;
+
+       TopExp::Vertices(E_1Y0, VFirst, VLast);
+       if (VFirst.IsSame(_cube.V100))
+               _cube.V110 = VLast;
+       else
+               _cube.V110 = VFirst;
+
+       TopExp::Vertices(E_1Y1, VFirst, VLast);
+       if (VFirst.IsSame(_cube.V101))
+               _cube.V111 = VLast;
+       else
+               _cube.V111 = VFirst;
+
+       TopExp::Vertices(E_0Y1, VFirst, VLast);
+       if (VFirst.IsSame(_cube.V001))
+               _cube.V011 = VLast;
+       else
+               _cube.V011 = VFirst;
+
+       // 1.6 - find remaining faces given 4 vertices
+       MESSAGE("---");
+
+       _indY0 = 0;
+       _cube.quad_Y0 = _quads[_indY0];
+
+       _indY1 = GetFaceIndex(aMesh, aShape, meshFaces,
+               _cube.V010, _cube.V011, _cube.V110, _cube.V111);
+       _cube.quad_Y1 = _quads[_indY1];
+
+       _indZ0 = GetFaceIndex(aMesh, aShape, meshFaces,
+               _cube.V000, _cube.V010, _cube.V100, _cube.V110);
+       _cube.quad_Z0 = _quads[_indZ0];
+
+       _indZ1 = GetFaceIndex(aMesh, aShape, meshFaces,
+               _cube.V001, _cube.V011, _cube.V101, _cube.V111);
+       _cube.quad_Z1 = _quads[_indZ1];
+
+       _indX0 = GetFaceIndex(aMesh, aShape, meshFaces,
+               _cube.V000, _cube.V001, _cube.V010, _cube.V011);
+       _cube.quad_X0 = _quads[_indX0];
+
+       _indX1 = GetFaceIndex(aMesh, aShape, meshFaces,
+               _cube.V100, _cube.V101, _cube.V110, _cube.V111);
+       _cube.quad_X1 = _quads[_indX1];
+
+       MESSAGE("---");
+
+       // 1.7 - get convertion coefs from face 2D normalized to 3D normalized
+
+       Conv2DStruct cx0;                       // for face X=0
+       Conv2DStruct cx1;                       // for face X=1
+       Conv2DStruct cy0;
+       Conv2DStruct cy1;
+       Conv2DStruct cz0;
+       Conv2DStruct cz1;
+
+       GetConv2DCoefs(*_cube.quad_X0, meshFaces[_indX0]->GetSubShape(),
+               _cube.V000, _cube.V010, _cube.V011, _cube.V001, cx0);
+       GetConv2DCoefs(*_cube.quad_X1, meshFaces[_indX1]->GetSubShape(),
+               _cube.V100, _cube.V110, _cube.V111, _cube.V101, cx1);
+       GetConv2DCoefs(*_cube.quad_Y0, meshFaces[_indY0]->GetSubShape(),
+               _cube.V000, _cube.V100, _cube.V101, _cube.V001, cy0);
+       GetConv2DCoefs(*_cube.quad_Y1, meshFaces[_indY1]->GetSubShape(),
+               _cube.V010, _cube.V110, _cube.V111, _cube.V011, cy1);
+       GetConv2DCoefs(*_cube.quad_Z0, meshFaces[_indZ0]->GetSubShape(),
+               _cube.V000, _cube.V100, _cube.V110, _cube.V010, cz0);
+       GetConv2DCoefs(*_cube.quad_Z1, meshFaces[_indZ1]->GetSubShape(),
+               _cube.V001, _cube.V101, _cube.V111, _cube.V011, cz1);
+
+       // 1.8 - create a 3D structure for normalized values
+
+       MESSAGE("---");
+       int nbx = _cube.quad_Y0->nbPts[0];
+       int nby = _cube.quad_Y0->nbPts[1];
+       int nbz;
+       if (cx0.a1 != 0)
+               nbz = _cube.quad_X0->nbPts[1];
+       else
+               nbz = _cube.quad_X0->nbPts[0];
+       //SCRUTE(nbx);
+       //SCRUTE(nby);
+       //SCRUTE(nbz);
+
+       //
+       // Adding NB To my point of vue that definition of nbx nby and nbz
+       // seems to be true (but maybe I am wrong). Of course any comments
+       // or other suggestions are welcome !!!!
+       //
+
+       nbx = _cube.quad_Z0->nbPts[0];
+       double det = cz0.a1*cz0.b2 - cz0.a2*cz0.b1;
+       if (cz0.a1 == 0.) nbx = _cube.quad_Z0->nbPts[1];
+
+       nby = _cube.quad_X0->nbPts[0];
+       det = cx0.a1*cx0.b2 - cx0.a2*cx0.b1;
+       if (cx0.a1 == 0.) nby = _cube.quad_X0->nbPts[1];
+
+       nbz = _cube.quad_Y0->nbPts[0];
+       det = cy0.a1*cy0.b2 - cy0.a2*cy0.b1;
+       if (cy0.a1 != 0.) nbz = _cube.quad_Y0->nbPts[1];
+
+       SCRUTE(nbx);
+       SCRUTE(nby);
+       SCRUTE(nbz);
+
+       int nbxyz = nbx * nby * nbz;
+       Point3DStruct *np = new Point3DStruct[nbxyz];
+
+       // 1.9 - store node indexes of faces
+
        {
-         int ij1 = j1*nbdown +i1;
-         int i = cy0.ia*i1 + cy0.ib*j1 + cy0.ic; // i = x/face
-         int k = cy0.ja*i1 + cy0.jb*j1 + cy0.jc; // k = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX0]->GetSubShape());
+
+               faceQuadStruct *quad = _cube.quad_X0;
+               int i = 0;                              // j = x/face , k = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+                       
+               while(itf->more())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition* fpos
+                               = static_cast<const SMDS_FacePosition*>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
+               }
+               delete itf;
+
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int j = cx0.ia * i1 + cx0.ib * j1 + cx0.ic;     // j = x/face
+                               int k = cx0.ja * i1 + cx0.jb * j1 + cx0.jc;     // k = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
        }
-  }
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_Y1;
-    int j=nby-1; // i = x/face , k = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+
        {
-         int ij1 = j1*nbdown +i1;
-         int i = cy1.ia*i1 + cy1.ib*j1 + cy1.ic; // i = x/face
-         int k = cy1.ja*i1 + cy1.jb*j1 + cy1.jc; // k = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX1]->GetSubShape());
+
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+
+               faceQuadStruct *quad = _cube.quad_X1;
+               int i = nbx - 1;                // j = x/face , k = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+               while(itf->more())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition* fpos
+                               = static_cast<const SMDS_FacePosition*>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
+               }
+               delete itf;
+
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int j = cx1.ia * i1 + cx1.ib * j1 + cx1.ic;     // j = x/face
+                               int k = cx1.ja * i1 + cx1.jb * j1 + cx1.jc;     // k = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
        }
-  }
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_Z0;
-    int k=0; // i = x/face , j = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+
        {
-         int ij1 = j1*nbdown +i1;
-         int i = cz0.ia*i1 + cz0.ib*j1 + cz0.ic; // i = x/face
-         int j = cz0.ja*i1 + cz0.jb*j1 + cz0.jc; // j = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY0]->GetSubShape());
+
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+
+               faceQuadStruct *quad = _cube.quad_Y0;
+               int j = 0;                              // i = x/face , k = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+               while(itf->more())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition * fpos
+                               = static_cast<const SMDS_FacePosition*>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
+               }
+               delete itf;
+
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int i = cy0.ia * i1 + cy0.ib * j1 + cy0.ic;     // i = x/face
+                               int k = cy0.ja * i1 + cy0.jb * j1 + cy0.jc;     // k = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
        }
-  }
-
-  {
-    const TopoDS_Face& F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
-    const TColStd_ListOfInteger& indElt
-      = aMesh.GetSubMesh(F)->GetSubMeshDS()->GetIDNodes();
-    TColStd_ListIteratorOfListOfInteger itf(indElt);
-
-    faceQuadStruct* quad = _cube.quad_Z1;
-    int k=nbz-1; // i = x/face , j = y/face
-    int nbdown = quad->nbPts[0];
-    int nbright = quad->nbPts[1];
-
-    for (; itf.More(); itf.Next())
-      {
-       int nodeId = itf.Value();
-       Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-       Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-       Handle (SMDS_FacePosition) fpos
-         = Handle (SMDS_FacePosition)::DownCast(node->GetPosition());
-       double ri = fpos->GetUParameter();
-       double rj = fpos->GetVParameter();
-       int i1 = int(ri);
-       int j1 = int(rj);
-       int ij1 = j1*nbdown +i1;
-       quad->uv_grid[ij1].nodeId = nodeId;
-      }
-
-    for (int i1=0; i1<nbdown; i1++)
-      for (int j1=0; j1<nbright; j1++)
+
        {
-         int ij1 = j1*nbdown +i1;
-         int i = cz1.ia*i1 + cz1.ib*j1 + cz1.ic; // i = x/face
-         int j = cz1.ja*i1 + cz1.jb*j1 + cz1.jc; // j = y/face
-         int ijk = k*nbx*nby + j*nbx + i;
-         //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
-         np[ijk].nodeId = quad->uv_grid[ij1].nodeId;
-         //SCRUTE(np[ijk].nodeId);
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
+
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+
+               faceQuadStruct *quad = _cube.quad_Y1;
+               int j = nby - 1;                // i = x/face , k = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+               while(itf->more())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition* fpos =
+                               static_cast<const SMDS_FacePosition *>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
+               }
+
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int i = cy1.ia * i1 + cy1.ib * j1 + cy1.ic;     // i = x/face
+                               int k = cy1.ja * i1 + cy1.jb * j1 + cy1.jc;     // k = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
        }
-  }
-
-  // 2.0 - for each node of the cube:
-  //       - get the 8 points 3D = 8 vertices of the cube
-  //       - get the 12 points 3D on the 12 edges of the cube
-  //       - get the 6 points 3D on the 6 faces with their ID
-  //       - compute the point 3D
-  //       - store the point 3D in SMESHDS, store its ID in 3D structure
-
-  TopoDS_Shell aShell;
-  TopExp_Explorer exp(aShape,TopAbs_SHELL);
-  if (exp.More())
-    {
-      aShell = TopoDS::Shell(exp.Current());
-    }
-  else
-    {
-      MESSAGE("no shell...");
-      ASSERT(0);
-    }
-
-  MESSAGE("---");
-  Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
-  Pt3 px00, px01, px10, px11;
-  Pt3 p0y0, p0y1, p1y0, p1y1;
-  Pt3 p00z, p01z, p10z, p11z;
-  Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
-
-  GetPoint(p000,     0,     0,     0, nbx, nby, nbz, np, meshDS);
-  GetPoint(p001,     0,     0, nbz-1, nbx, nby, nbz, np, meshDS);
-  GetPoint(p010,     0, nby-1,     0, nbx, nby, nbz, np, meshDS);
-  GetPoint(p011,     0, nby-1, nbz-1, nbx, nby, nbz, np, meshDS);
-  GetPoint(p100, nbx-1,     0,     0, nbx, nby, nbz, np, meshDS);
-  GetPoint(p101, nbx-1,     0, nbz-1, nbx, nby, nbz, np, meshDS);
-  GetPoint(p110, nbx-1, nby-1,     0, nbx, nby, nbz, np, meshDS);
-  GetPoint(p111, nbx-1, nby-1, nbz-1, nbx, nby, nbz, np, meshDS);
-
-  for (int i=1; i<nbx-1; i++)
-    {
-      for (int j=1; j<nby-1; j++)
+
        {
-         for (int k=1; k<nbz-1; k++)
-           {
-             // *** seulement maillage regulier
-             // 12 points on edges
-             GetPoint(px00,     i,     0,     0, nbx, nby, nbz, np, meshDS);
-             GetPoint(px01,     i,     0, nbz-1, nbx, nby, nbz, np, meshDS);
-             GetPoint(px10,     i, nby-1,     0, nbx, nby, nbz, np, meshDS);
-             GetPoint(px11,     i, nby-1, nbz-1, nbx, nby, nbz, np, meshDS);
-
-             GetPoint(p0y0,     0,     j,     0, nbx, nby, nbz, np, meshDS);
-             GetPoint(p0y1,     0,     j, nbz-1, nbx, nby, nbz, np, meshDS);
-             GetPoint(p1y0, nbx-1,     j,     0, nbx, nby, nbz, np, meshDS);
-             GetPoint(p1y1, nbx-1,     j, nbz-1, nbx, nby, nbz, np, meshDS);
-
-             GetPoint(p00z,     0,     0,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(p01z,     0, nby-1,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(p10z, nbx-1,     0,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(p11z, nbx-1, nby-1,     k, nbx, nby, nbz, np, meshDS);
-
-             // 12 points on faces
-             GetPoint(pxy0,     i,     j,     0, nbx, nby, nbz, np, meshDS);
-             GetPoint(pxy1,     i,     j, nbz-1, nbx, nby, nbz, np, meshDS);
-             GetPoint(px0z,     i,     0,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(px1z,     i, nby-1,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(p0yz,     0,     j,     k, nbx, nby, nbz, np, meshDS);
-             GetPoint(p1yz, nbx-1,     j,     k, nbx, nby, nbz, np, meshDS);
-
-             int ijk = k*nbx*nby + j*nbx + i;
-             double x = double(i)/double(nbx-1); // *** seulement
-             double y = double(j)/double(nby-1); // *** maillage
-             double z = double(k)/double(nbz-1); // *** regulier
-
-             Pt3 X;
-             for (int i=0; i<3; i++)
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
+
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+
+               faceQuadStruct *quad = _cube.quad_Z0;
+               int k = 0;                              // i = x/face , j = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+               while(itf->more())
                {
-                 X[i] =
-                    (1-x)*p0yz[i] + x*p1yz[i]
-                   +(1-y)*px0z[i] + y*px1z[i]
-                   +(1-z)*pxy0[i] + z*pxy1[i]
-                   -(1-x)*((1-y)*p00z[i] + y*p01z[i])
-                   -   x *((1-y)*p10z[i] + y*p11z[i])
-                   -(1-y)*((1-z)*px00[i] + z*px01[i])
-                   -   y *((1-z)*px10[i] + z*px11[i])
-                   -(1-z)*((1-x)*p0y0[i] + x*p1y0[i])
-                   -   z *((1-x)*p0y1[i] + x*p1y1[i])
-                   +(1-x)*( (1-y)*((1-z)*p000[i] + z*p001[i])
-                           +   y *((1-z)*p010[i] + z*p011[i]))
-                   +   x *( (1-y)*((1-z)*p100[i] + z*p101[i])
-                           +   y *((1-z)*p110[i] + z*p111[i]));
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition * fpos
+                               = static_cast<const SMDS_FacePosition*>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
                }
 
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int i = cz0.ia * i1 + cz0.ib * j1 + cz0.ic;     // i = x/face
+                               int j = cz0.ja * i1 + cz0.jb * j1 + cz0.jc;     // j = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
+       }
+
+       {
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
 
-             int myNodeId = meshDS->AddNode(X[0],X[1],X[2]);
-             //MESSAGE("point "<<myNodeId<<" "<<X[0]<<" "<<X[1]<<" "<<X[2]);
-             np[ijk].nodeId = myNodeId;
-             Handle (SMDS_MeshElement) elt = meshDS->FindNode(myNodeId);
-             Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
+               SMDS_Iterator<const SMDS_MeshNode *> * itf=
+                       aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
+
+               faceQuadStruct *quad = _cube.quad_Z1;
+               int k = nbz - 1;                // i = x/face , j = y/face
+               int nbdown = quad->nbPts[0];
+               int nbright = quad->nbPts[1];
+
+               while(itf->more())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition* fpos
+                               = static_cast<const SMDS_FacePosition*>(node->GetPosition());
+                       double ri = fpos->GetUParameter();
+                       double rj = fpos->GetVParameter();
+                       int i1 = int (ri);
+                       int j1 = int (rj);
+                       int ij1 = j1 * nbdown + i1;
+                       quad->uv_grid[ij1].node = node;
+               }
 
-             //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
-             meshDS->SetNodeInVolume(node, aShell);
-           }
+               for (int i1 = 0; i1 < nbdown; i1++)
+                       for (int j1 = 0; j1 < nbright; j1++)
+                       {
+                               int ij1 = j1 * nbdown + i1;
+                               int i = cz1.ia * i1 + cz1.ib * j1 + cz1.ic;     // i = x/face
+                               int j = cz1.ja * i1 + cz1.jb * j1 + cz1.jc;     // j = y/face
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
+                               np[ijk].node = quad->uv_grid[ij1].node;
+                               //SCRUTE(np[ijk].nodeId);
+                       }
        }
-    }
 
-  //2.1 - for each node of the cube (less 3 *1 Faces):
-  //      - store hexahedron in SMESHDS
+       // 2.0 - for each node of the cube:
+       //       - get the 8 points 3D = 8 vertices of the cube
+       //       - get the 12 points 3D on the 12 edges of the cube
+       //       - get the 6 points 3D on the 6 faces with their ID
+       //       - compute the point 3D
+       //       - store the point 3D in SMESHDS, store its ID in 3D structure
 
-  for (int i=0; i<nbx-1; i++)
-    for (int j=0; j<nby-1; j++)
-      for (int k=0; k<nbz-1; k++)
+       TopoDS_Shell aShell;
+       TopExp_Explorer exp(aShape, TopAbs_SHELL);
+       if (exp.More())
+       {
+               aShell = TopoDS::Shell(exp.Current());
+       }
+       else
        {
-         int n1 =    k *nbx*nby +    j *nbx + i;
-         int n2 =    k *nbx*nby +    j *nbx + i+1;
-         int n3 =    k *nbx*nby + (j+1)*nbx + i+1;
-         int n4 =    k *nbx*nby + (j+1)*nbx + i;
-         int n5 = (k+1)*nbx*nby +    j *nbx + i;
-         int n6 = (k+1)*nbx*nby +    j *nbx + i+1;
-         int n7 = (k+1)*nbx*nby + (j+1)*nbx + i+1;
-         int n8 = (k+1)*nbx*nby + (j+1)*nbx + i;
-
-//       MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
-         //MESSAGE(" "<<np[n1].nodeId<<" "<<np[n2].nodeId<<" "<<np[n3].nodeId<<" "<<np[n4].nodeId<<" "<<np[n5].nodeId<<" "<<np[n6].nodeId<<" "<<np[n7].nodeId<<" "<<np[n8].nodeId);
-
-         int hexa = meshDS->AddVolume(np[n1].nodeId,
-                                      np[n2].nodeId,
-                                      np[n3].nodeId,
-                                      np[n4].nodeId,
-                                      np[n5].nodeId,
-                                      np[n6].nodeId,
-                                      np[n7].nodeId,
-                                      np[n8].nodeId);
-         Handle (SMDS_MeshElement) elt = meshDS->FindElement(hexa);
-         meshDS->SetMeshElementOnShape(elt, aShell);
-
-         // *** 5 tetrahedres ... verifier orientations,
-         //     mettre en coherence &vec quadrangles-> triangles
-         //     choisir afficher 1 parmi edges, face et volumes
-//       int tetra1 = meshDS->AddVolume(np[n1].nodeId,
-//                                      np[n2].nodeId,
-//                                      np[n4].nodeId,
-//                                      np[n5].nodeId);
-//       int tetra2 = meshDS->AddVolume(np[n2].nodeId,
-//                                      np[n3].nodeId,
-//                                      np[n4].nodeId,
-//                                      np[n7].nodeId);
-//       int tetra3 = meshDS->AddVolume(np[n5].nodeId,
-//                                      np[n6].nodeId,
-//                                      np[n7].nodeId,
-//                                      np[n2].nodeId);
-//       int tetra4 = meshDS->AddVolume(np[n5].nodeId,
-//                                      np[n7].nodeId,
-//                                      np[n8].nodeId,
-//                                      np[n4].nodeId);
-//       int tetra5 = meshDS->AddVolume(np[n5].nodeId,
-//                                      np[n7].nodeId,
-//                                      np[n2].nodeId,
-//                                      np[n4].nodeId);
+               MESSAGE("no shell...");
+               ASSERT(0);
+       }
 
+       Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
+       Pt3 px00, px01, px10, px11;
+       Pt3 p0y0, p0y1, p1y0, p1y1;
+       Pt3 p00z, p01z, p10z, p11z;
+       Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
+
+       GetPoint(p000, 0, 0, 0, nbx, nby, nbz, np, meshDS);
+       GetPoint(p001, 0, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
+       GetPoint(p010, 0, nby - 1, 0, nbx, nby, nbz, np, meshDS);
+       GetPoint(p011, 0, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
+       GetPoint(p100, nbx - 1, 0, 0, nbx, nby, nbz, np, meshDS);
+       GetPoint(p101, nbx - 1, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
+       GetPoint(p110, nbx - 1, nby - 1, 0, nbx, nby, nbz, np, meshDS);
+       GetPoint(p111, nbx - 1, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
+
+       for (int i = 1; i < nbx - 1; i++)
+       {
+               for (int j = 1; j < nby - 1; j++)
+               {
+                       for (int k = 1; k < nbz - 1; k++)
+                       {
+                               // *** seulement maillage regulier
+                               // 12 points on edges
+                               GetPoint(px00, i, 0, 0, nbx, nby, nbz, np, meshDS);
+                               GetPoint(px01, i, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
+                               GetPoint(px10, i, nby - 1, 0, nbx, nby, nbz, np, meshDS);
+                               GetPoint(px11, i, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
+
+                               GetPoint(p0y0, 0, j, 0, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p0y1, 0, j, nbz - 1, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p1y0, nbx - 1, j, 0, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p1y1, nbx - 1, j, nbz - 1, nbx, nby, nbz, np, meshDS);
+
+                               GetPoint(p00z, 0, 0, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p01z, 0, nby - 1, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p10z, nbx - 1, 0, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p11z, nbx - 1, nby - 1, k, nbx, nby, nbz, np, meshDS);
+
+                               // 12 points on faces
+                               GetPoint(pxy0, i, j, 0, nbx, nby, nbz, np, meshDS);
+                               GetPoint(pxy1, i, j, nbz - 1, nbx, nby, nbz, np, meshDS);
+                               GetPoint(px0z, i, 0, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(px1z, i, nby - 1, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p0yz, 0, j, k, nbx, nby, nbz, np, meshDS);
+                               GetPoint(p1yz, nbx - 1, j, k, nbx, nby, nbz, np, meshDS);
+
+                               int ijk = k * nbx * nby + j * nbx + i;
+                               double x = double (i) / double (nbx - 1);       // *** seulement
+                               double y = double (j) / double (nby - 1);       // *** maillage
+                               double z = double (k) / double (nbz - 1);       // *** regulier
+
+                               Pt3 X;
+                               for (int i = 0; i < 3; i++)
+                               {
+                                       X[i] =
+                                               (1 - x) * p0yz[i] + x * p1yz[i]
+                                               + (1 - y) * px0z[i] + y * px1z[i]
+                                               + (1 - z) * pxy0[i] + z * pxy1[i]
+                                               - (1 - x) * ((1 - y) * p00z[i] + y * p01z[i])
+                                               - x * ((1 - y) * p10z[i] + y * p11z[i])
+                                               - (1 - y) * ((1 - z) * px00[i] + z * px01[i])
+                                               - y * ((1 - z) * px10[i] + z * px11[i])
+                                               - (1 - z) * ((1 - x) * p0y0[i] + x * p1y0[i])
+                                               - z * ((1 - x) * p0y1[i] + x * p1y1[i])
+                                               + (1 - x) * ((1 - y) * ((1 - z) * p000[i] + z * p001[i])
+                                               + y * ((1 - z) * p010[i] + z * p011[i]))
+                                               + x * ((1 - y) * ((1 - z) * p100[i] + z * p101[i])
+                                               + y * ((1 - z) * p110[i] + z * p111[i]));
+                               }
+
+                               SMDS_MeshNode * node = meshDS->AddNode(X[0], X[1], X[2]);
+                               np[ijk].node = node;
+                               //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
+                               meshDS->SetNodeInVolume(node, aShell);
+                       }
+               }
        }
-  
-  return true;
+
+       //2.1 - for each node of the cube (less 3 *1 Faces):
+       //      - store hexahedron in SMESHDS
+       MESSAGE("Storing hexahedron into the DS");
+       for (int i = 0; i < nbx - 1; i++)
+               for (int j = 0; j < nby - 1; j++)
+                       for (int k = 0; k < nbz - 1; k++)
+                       {
+                               int n1 = k * nbx * nby + j * nbx + i;
+                               int n2 = k * nbx * nby + j * nbx + i + 1;
+                               int n3 = k * nbx * nby + (j + 1) * nbx + i + 1;
+                               int n4 = k * nbx * nby + (j + 1) * nbx + i;
+                               int n5 = (k + 1) * nbx * nby + j * nbx + i;
+                               int n6 = (k + 1) * nbx * nby + j * nbx + i + 1;
+                               int n7 = (k + 1) * nbx * nby + (j + 1) * nbx + i + 1;
+                               int n8 = (k + 1) * nbx * nby + (j + 1) * nbx + i;
+
+//    MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
+                               //MESSAGE(" "<<np[n1].nodeId<<" "<<np[n2].nodeId<<" "<<np[n3].nodeId<<" "<<np[n4].nodeId<<" "<<np[n5].nodeId<<" "<<np[n6].nodeId<<" "<<np[n7].nodeId<<" "<<np[n8].nodeId);
+
+                               SMDS_MeshVolume * elt = meshDS->AddVolume(np[n1].node,
+                                       np[n2].node,
+                                       np[n3].node,
+                                       np[n4].node,
+                                       np[n5].node,
+                                       np[n6].node,
+                                       np[n7].node,
+                                       np[n8].node);
+                                ;
+                               meshDS->SetMeshElementOnShape(elt, aShell);
+
+                               // *** 5 tetrahedres ... verifier orientations,
+                               //     mettre en coherence &vec quadrangles-> triangles
+                               //     choisir afficher 1 parmi edges, face et volumes
+//    int tetra1 = meshDS->AddVolume(np[n1].nodeId,
+//                   np[n2].nodeId,
+//                   np[n4].nodeId,
+//                   np[n5].nodeId);
+//    int tetra2 = meshDS->AddVolume(np[n2].nodeId,
+//                   np[n3].nodeId,
+//                   np[n4].nodeId,
+//                   np[n7].nodeId);
+//    int tetra3 = meshDS->AddVolume(np[n5].nodeId,
+//                   np[n6].nodeId,
+//                   np[n7].nodeId,
+//                   np[n2].nodeId);
+//    int tetra4 = meshDS->AddVolume(np[n5].nodeId,
+//                   np[n7].nodeId,
+//                   np[n8].nodeId,
+//                   np[n4].nodeId);
+//    int tetra5 = meshDS->AddVolume(np[n5].nodeId,
+//                   np[n7].nodeId,
+//                   np[n2].nodeId,
+//                   np[n4].nodeId);
+
+                       }
+
+       MESSAGE("End of SMESH_Hexa_3D::Compute()");
+       return true;
 }
 
 //=============================================================================
@@ -715,20 +751,15 @@ bool SMESH_Hexa_3D::Compute(SMESH_Mesh& aMesh,
  */
 //=============================================================================
 
-void SMESH_Hexa_3D::GetPoint(Pt3 p,
-                            int i, int j, int k,
-                            int nbx, int nby, int nbz,
-                            Point3DStruct *np,
-                            const Handle(SMESHDS_Mesh)& meshDS)
+void SMESH_Hexa_3D::GetPoint(Pt3 p, int i, int j, int k, int nbx, int nby,
+       int nbz, Point3DStruct * np, const SMESHDS_Mesh * meshDS)
 {
-  int ijk = k*nbx*nby + j*nbx + i;
-  int nodeId = np[ijk].nodeId;
-  Handle (SMDS_MeshElement) elt = meshDS->FindNode(nodeId);
-  Handle (SMDS_MeshNode) node = meshDS->GetNode(1, elt);
-  p[0] = node->X();
-  p[1] = node->Y();
-  p[2] = node->Z();
-  //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
+       int ijk = k * nbx * nby + j * nbx + i;
+       const SMDS_MeshNode * node = np[ijk].node;
+       p[0] = node->X();
+       p[1] = node->Y();
+       p[2] = node->Z();
+       //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
 }
 
 //=============================================================================
@@ -737,36 +768,36 @@ void SMESH_Hexa_3D::GetPoint(Pt3 p,
  */
 //=============================================================================
 
-int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh& aMesh,
-                               const TopoDS_Shape& aShape,
-                               const vector<SMESH_subMesh*>& meshFaces,
-                               const TopoDS_Vertex& V0,
-                               const TopoDS_Vertex& V1,
-                               const TopoDS_Vertex& V2,
-                               const TopoDS_Vertex& V3)
+int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape,
+       const vector < SMESH_subMesh * >&meshFaces,
+       const TopoDS_Vertex & V0,
+       const TopoDS_Vertex & V1,
+       const TopoDS_Vertex & V2, const TopoDS_Vertex & V3)
 {
-  MESSAGE("SMESH_Hexa_3D::GetFaceIndex");
-  int faceIndex = -1;
-  for (int i=1; i<6; i++)
-    {
-      const TopoDS_Shape& aFace = meshFaces[i]->GetSubShape();
-      //const TopoDS_Face& F = TopoDS::Face(aFace);
-      TopTools_IndexedMapOfShape M;
-      TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
-      bool verticesInShape = false;
-      if (M.Contains(V0))
-       if (M.Contains(V1))
-         if (M.Contains(V2))
-           if (M.Contains(V3)) verticesInShape = true;
-      if (verticesInShape)
+       MESSAGE("SMESH_Hexa_3D::GetFaceIndex");
+       int faceIndex = -1;
+       for (int i = 1; i < 6; i++)
        {
-         faceIndex = i;
-         break;
+               const TopoDS_Shape & aFace = meshFaces[i]->GetSubShape();
+               //const TopoDS_Face& F = TopoDS::Face(aFace);
+               TopTools_IndexedMapOfShape M;
+               TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
+               bool verticesInShape = false;
+               if (M.Contains(V0))
+                       if (M.Contains(V1))
+                               if (M.Contains(V2))
+                                       if (M.Contains(V3))
+                                               verticesInShape = true;
+               if (verticesInShape)
+               {
+                       faceIndex = i;
+                       break;
+               }
        }
-    }
-  ASSERT(faceIndex>0);
-  SCRUTE(faceIndex);
-  return faceIndex;
+       ASSERT(faceIndex > 0);
+       SCRUTE(faceIndex);
+       return faceIndex;
 }
 
 //=============================================================================
@@ -776,46 +807,46 @@ int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh& aMesh,
 //=============================================================================
 
 TopoDS_Edge
-SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh& aMesh,
-                            const TopoDS_Shape& aShape,
-                            const TopoDS_Face& aFace,
-                            const TopoDS_Vertex& aVertex,
-                            const TopTools_IndexedDataMapOfShapeListOfShape& MS)
+       SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape,
+       const TopoDS_Face & aFace,
+       const TopoDS_Vertex & aVertex,
+       const TopTools_IndexedDataMapOfShapeListOfShape & MS)
 {
-  MESSAGE("SMESH_Hexa_3D::EdgeNotInFace");
-  TopTools_IndexedDataMapOfShapeListOfShape MF;
-  TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
-  const TopTools_ListOfShape& ancestorsInSolid = MS.FindFromKey(aVertex);
-  const TopTools_ListOfShape& ancestorsInFace  = MF.FindFromKey(aVertex);
-  SCRUTE(ancestorsInSolid.Extent());
-  SCRUTE(ancestorsInFace.Extent());
-  ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
-  ASSERT(ancestorsInFace.Extent() == 2);
-  
-  TopoDS_Edge E;
-  E.Nullify();    
-  TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
-  for ( ; its.More();its.Next())
-  {
-    TopoDS_Shape ancestor = its.Value();
-    TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
-    bool isInFace = false;
-    for ( ; itf.More();itf.Next())
-      {
-       TopoDS_Shape ancestorInFace = itf.Value();
-       if (ancestorInFace.IsSame(ancestor))
-         {
-           isInFace = true;
-           break;
-         }
-      }
-    if (! isInFace)
-      {
-       E = TopoDS::Edge(ancestor);
-       break;
-      }
-  }
-  return E;
+       MESSAGE("SMESH_Hexa_3D::EdgeNotInFace");
+       TopTools_IndexedDataMapOfShapeListOfShape MF;
+       TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
+       const TopTools_ListOfShape & ancestorsInSolid = MS.FindFromKey(aVertex);
+       const TopTools_ListOfShape & ancestorsInFace = MF.FindFromKey(aVertex);
+       SCRUTE(ancestorsInSolid.Extent());
+       SCRUTE(ancestorsInFace.Extent());
+       ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
+       ASSERT(ancestorsInFace.Extent() == 2);
+
+       TopoDS_Edge E;
+       E.Nullify();
+       TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
+       for (; its.More(); its.Next())
+       {
+               TopoDS_Shape ancestor = its.Value();
+               TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
+               bool isInFace = false;
+               for (; itf.More(); itf.Next())
+               {
+                       TopoDS_Shape ancestorInFace = itf.Value();
+                       if (ancestorInFace.IsSame(ancestor))
+                       {
+                               isInFace = true;
+                               break;
+                       }
+               }
+               if (!isInFace)
+               {
+                       E = TopoDS::Edge(ancestor);
+                       break;
+               }
+       }
+       return E;
 }
 
 //=============================================================================
@@ -824,95 +855,133 @@ SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh& aMesh,
  */
 //=============================================================================
 
-  void SMESH_Hexa_3D::GetConv2DCoefs(const faceQuadStruct& quad,
-                                    const TopoDS_Shape& aShape,
-                                    const TopoDS_Vertex& V0,
-                                    const TopoDS_Vertex& V1,
-                                    const TopoDS_Vertex& V2,
-                                    const TopoDS_Vertex& V3,
-                                    Conv2DStruct& conv)
+void SMESH_Hexa_3D::GetConv2DCoefs(const faceQuadStruct & quad,
+       const TopoDS_Shape & aShape,
+       const TopoDS_Vertex & V0,
+       const TopoDS_Vertex & V1,
+       const TopoDS_Vertex & V2, const TopoDS_Vertex & V3, Conv2DStruct & conv)
 {
-  MESSAGE("SMESH_Hexa_3D::GetConv2DCoefs");
-  const TopoDS_Face& F = TopoDS::Face(aShape);
-  TopoDS_Edge E = quad.edge[0];
-  double f,l;
-  Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E,F,f,l);
-  TopoDS_Vertex VFirst, VLast;
-  TopExp::Vertices(E, VFirst, VLast); // corresponds to f and l
-  bool isForward = (((l-f)*(quad.last[0] - quad.first[0])) > 0);
-  TopoDS_Vertex VA, VB;
-  if (isForward)
-    {
-      VA = VFirst; VB = VLast;
-    }
-  else
-    {
-     VA = VLast; VB = VFirst;
-    }
-  int a1,b1,c1,a2,b2,c2;
-  if (VA.IsSame(V0))
-    if (VB.IsSame(V1))
-      {
-       a1= 1; b1= 0; c1= 0; // x
-       a2= 0; b2= 1; c2= 0; // y
-      }
-    else
-      {
-       ASSERT(VB.IsSame(V3));
-       a1= 0; b1= 1; c1= 0; // y
-       a2= 1; b2= 0; c2= 0; // x
-      }
-  if (VA.IsSame(V1))
-    if (VB.IsSame(V2))
-      {
-       a1= 0; b1=-1; c1= 1; // 1-y
-       a2= 1; b2= 0; c2= 0; // x
-      }
-    else
-      {
-       ASSERT(VB.IsSame(V0));
-       a1=-1; b1= 0; c1= 1; // 1-x
-       a2= 0; b2= 1; c2= 0; // y
-      }
-  if (VA.IsSame(V2))
-    if (VB.IsSame(V3))
-      {
-       a1=-1; b1= 0; c1= 1; // 1-x
-       a2= 0; b2=-1; c2= 1; // 1-y
-      }
-    else
-      {
-       ASSERT(VB.IsSame(V1));
-       a1= 0; b1=-1; c1= 1; // 1-y
-       a2=-1; b2= 0; c2= 1; // 1-x
-      }
-  if (VA.IsSame(V3))
-    if (VB.IsSame(V0))
-      {
-       a1= 0; b1= 1; c1= 0; // y
-       a2=-1; b2= 0; c2= 1; // 1-x
-      }
-    else
-      {
-       ASSERT(VB.IsSame(V2));
-       a1= 1; b1= 0; c1= 0;  // x
-       a2= 0; b2=-1; c2= 1;  // 1-y
-      }
-  MESSAGE("X = "<<c1<<"+ "<<a1<<"*x + "<<b1<<"*y");
-  MESSAGE("Y = "<<c2<<"+ "<<a2<<"*x + "<<b2<<"*y");
-  conv.a1=a1; conv.b1=b1; conv.c1=c1;
-  conv.a2=a2; conv.b2=b2; conv.c2=c2;
-
-  int nbdown = quad.nbPts[0];
-  int nbright = quad.nbPts[1];
-  conv.ia = int(a1);
-  conv.ib = int(b1);
-  conv.ic = int(c1*a1*a1)*(nbdown-1) + int(c1*b1*b1)*(nbright-1);
-  conv.ja = int(a2);
-  conv.jb = int(b2);
-  conv.jc = int(c2*a2*a2)*(nbdown-1) + int(c2*b2*b2)*(nbright-1);
-  MESSAGE("I "<<conv.ia<<" "<<conv.ib<<" "<<conv.ic);
-  MESSAGE("J "<<conv.ja<<" "<<conv.jb<<" "<<conv.jc);
+       MESSAGE("SMESH_Hexa_3D::GetConv2DCoefs");
+       const TopoDS_Face & F = TopoDS::Face(aShape);
+       TopoDS_Edge E = quad.edge[0];
+       double f, l;
+       Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
+       TopoDS_Vertex VFirst, VLast;
+       TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
+       bool isForward = (((l - f) * (quad.last[0] - quad.first[0])) > 0);
+       TopoDS_Vertex VA, VB;
+       if (isForward)
+       {
+               VA = VFirst;
+               VB = VLast;
+       }
+       else
+       {
+               VA = VLast;
+               VB = VFirst;
+       }
+       int a1, b1, c1, a2, b2, c2;
+       if (VA.IsSame(V0))
+               if (VB.IsSame(V1))
+               {
+                       a1 = 1;
+                       b1 = 0;
+                       c1 = 0;                         // x
+                       a2 = 0;
+                       b2 = 1;
+                       c2 = 0;                         // y
+               }
+               else
+               {
+                       ASSERT(VB.IsSame(V3));
+                       a1 = 0;
+                       b1 = 1;
+                       c1 = 0;                         // y
+                       a2 = 1;
+                       b2 = 0;
+                       c2 = 0;                         // x
+               }
+       if (VA.IsSame(V1))
+               if (VB.IsSame(V2))
+               {
+                       a1 = 0;
+                       b1 = -1;
+                       c1 = 1;                         // 1-y
+                       a2 = 1;
+                       b2 = 0;
+                       c2 = 0;                         // x
+               }
+               else
+               {
+                       ASSERT(VB.IsSame(V0));
+                       a1 = -1;
+                       b1 = 0;
+                       c1 = 1;                         // 1-x
+                       a2 = 0;
+                       b2 = 1;
+                       c2 = 0;                         // y
+               }
+       if (VA.IsSame(V2))
+               if (VB.IsSame(V3))
+               {
+                       a1 = -1;
+                       b1 = 0;
+                       c1 = 1;                         // 1-x
+                       a2 = 0;
+                       b2 = -1;
+                       c2 = 1;                         // 1-y
+               }
+               else
+               {
+                       ASSERT(VB.IsSame(V1));
+                       a1 = 0;
+                       b1 = -1;
+                       c1 = 1;                         // 1-y
+                       a2 = -1;
+                       b2 = 0;
+                       c2 = 1;                         // 1-x
+               }
+       if (VA.IsSame(V3))
+               if (VB.IsSame(V0))
+               {
+                       a1 = 0;
+                       b1 = 1;
+                       c1 = 0;                         // y
+                       a2 = -1;
+                       b2 = 0;
+                       c2 = 1;                         // 1-x
+               }
+               else
+               {
+                       ASSERT(VB.IsSame(V2));
+                       a1 = 1;
+                       b1 = 0;
+                       c1 = 0;                         // x
+                       a2 = 0;
+                       b2 = -1;
+                       c2 = 1;                         // 1-y
+               }
+       MESSAGE("X = " << c1 << "+ " << a1 << "*x + " << b1 << "*y");
+       MESSAGE("Y = " << c2 << "+ " << a2 << "*x + " << b2 << "*y");
+       conv.a1 = a1;
+       conv.b1 = b1;
+       conv.c1 = c1;
+       conv.a2 = a2;
+       conv.b2 = b2;
+       conv.c2 = c2;
+
+       int nbdown = quad.nbPts[0];
+       int nbright = quad.nbPts[1];
+       conv.ia = int (a1);
+       conv.ib = int (b1);
+       conv.ic =
+               int (c1 * a1 * a1) * (nbdown - 1) + int (c1 * b1 * b1) * (nbright - 1);
+       conv.ja = int (a2);
+       conv.jb = int (b2);
+       conv.jc =
+               int (c2 * a2 * a2) * (nbdown - 1) + int (c2 * b2 * b2) * (nbright - 1);
+       MESSAGE("I " << conv.ia << " " << conv.ib << " " << conv.ic);
+       MESSAGE("J " << conv.ja << " " << conv.jb << " " << conv.jc);
 }
 
 //=============================================================================
@@ -923,7 +992,7 @@ SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh& aMesh,
 
 ostream & SMESH_Hexa_3D::SaveTo(ostream & save)
 {
-  return save << this;
+       return save << this;
 }
 
 //=============================================================================
@@ -934,7 +1003,7 @@ ostream & SMESH_Hexa_3D::SaveTo(ostream & save)
 
 istream & SMESH_Hexa_3D::LoadFrom(istream & load)
 {
-  return load >> (*this);
+       return load >> (*this);
 }
 
 //=============================================================================
@@ -943,9 +1012,9 @@ istream & SMESH_Hexa_3D::LoadFrom(istream & load)
  */
 //=============================================================================
 
-ostream & operator << (ostream & save, SMESH_Hexa_3D & hyp)
+ostream & operator <<(ostream & save, SMESH_Hexa_3D & hyp)
 {
-  return save;
+       return save;
 }
 
 //=============================================================================
@@ -954,7 +1023,7 @@ ostream & operator << (ostream & save, SMESH_Hexa_3D & hyp)
  */
 //=============================================================================
 
-istream & operator >> (istream & load, SMESH_Hexa_3D & hyp)
+istream & operator >>(istream & load, SMESH_Hexa_3D & hyp)
 {
-  return load;
+       return load;
 }