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[modules/smesh.git] / src / StdMeshers / StdMeshers_Hexa_3D.cxx
diff --git a/src/StdMeshers/StdMeshers_Hexa_3D.cxx b/src/StdMeshers/StdMeshers_Hexa_3D.cxx
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+//  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   : StdMeshers_Hexa_3D.cxx
+//           Moved here from SMESH_Hexa_3D.cxx
+//  Author : Paul RASCLE, EDF
+//  Module : SMESH
+//  $Header$
+
+using namespace std;
+#include "StdMeshers_Hexa_3D.hxx"
+#include "StdMeshers_Quadrangle_2D.hxx"
+#include "SMESH_Gen.hxx"
+#include "SMESH_Mesh.hxx"
+
+#include "SMDS_MeshElement.hxx"
+#include "SMDS_MeshNode.hxx"
+#include "SMDS_FacePosition.hxx"
+
+#include <TopExp.hxx>
+#include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
+#include <TopTools_ListOfShape.hxx>
+#include <TopTools_ListIteratorOfListOfShape.hxx>
+#include <TColStd_ListIteratorOfListOfInteger.hxx>
+
+#include <BRep_Tool.hxx>
+#include <Geom_Surface.hxx>
+#include <Geom_Curve.hxx>
+#include <Geom2d_Curve.hxx>
+#include <Handle_Geom2d_Curve.hxx>
+#include <Handle_Geom_Curve.hxx>
+
+#include "utilities.h"
+#include "Utils_ExceptHandlers.hxx"
+
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+StdMeshers_Hexa_3D::StdMeshers_Hexa_3D(int hypId, int studyId,
+       SMESH_Gen * gen):SMESH_3D_Algo(hypId, studyId, gen)
+{
+       MESSAGE("StdMeshers_Hexa_3D::StdMeshers_Hexa_3D");
+       _name = "Hexa_3D";
+//   _shapeType = TopAbs_SOLID;
+       _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;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+StdMeshers_Hexa_3D::~StdMeshers_Hexa_3D()
+{
+       MESSAGE("StdMeshers_Hexa_3D::~StdMeshers_Hexa_3D");
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+bool StdMeshers_Hexa_3D::CheckHypothesis
+                         (SMESH_Mesh& aMesh,
+                          const TopoDS_Shape& aShape,
+                          SMESH_Hypothesis::Hypothesis_Status& aStatus)
+{
+       MESSAGE("StdMeshers_Hexa_3D::CheckHypothesis");
+
+       bool isOk = true;
+        aStatus = SMESH_Hypothesis::HYP_OK;
+
+       // nothing to check
+
+       return isOk;
+}
+
+//=============================================================================
+/*!
+ * Hexahedron mesh on hexaedron like form
+ * -0.  - shape and face mesh verification
+ * -1.  - identify faces and vertices of the "cube"
+ * -2.  - Algorithm from:
+ * "Application de l'interpolation transfinie à la création de maillages
+ *  C0 ou G1 continus sur des triangles, quadrangles, tetraedres, pentaedres
+ *  et hexaedres déformés."
+ * Alain PERONNET - 8 janvier 1999
+ */
+//=============================================================================
+
+bool StdMeshers_Hexa_3D::Compute(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape)throw(SALOME_Exception)
+{
+  Unexpect aCatch(SalomeException);
+       MESSAGE("StdMeshers_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())
+       {
+               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")
+               {
+                       // *** delete _quads
+                       SCRUTE(algoName);
+                       ASSERT(0);
+                       return false;
+               }
+               StdMeshers_Quadrangle_2D *quadAlgo =
+                       dynamic_cast < StdMeshers_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());
+
+               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_NodeIteratorPtr 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().get());
+                       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 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[_indX1]->GetSubShape());
+
+               SMDS_NodeIteratorPtr 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().get());
+                       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 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[_indY0]->GetSubShape());
+
+               SMDS_NodeIteratorPtr 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().get());
+                       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 = 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[_indY1]->GetSubShape());
+
+               SMDS_NodeIteratorPtr 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().get());
+                       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);
+                       }
+       }
+
+       {
+               const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
+
+               SMDS_NodeIteratorPtr 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())
+               {
+                       const SMDS_MeshNode * node = itf->next();
+                       const SMDS_FacePosition * fpos =
+                          static_cast<const SMDS_FacePosition*>(node->GetPosition().get());
+                       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());
+
+               SMDS_NodeIteratorPtr 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().get());
+                       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 = 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);
+                       }
+       }
+
+       // 2.0 - 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);
+       }
+
+       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);
+                       }
+               }
+       }
+
+       //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 StdMeshers_Hexa_3D::Compute()");
+       return true;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+void StdMeshers_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;
+       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]);
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+int StdMeshers_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("StdMeshers_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)
+               {
+                       faceIndex = i;
+                       break;
+               }
+       }
+       ASSERT(faceIndex > 0);
+       SCRUTE(faceIndex);
+       return faceIndex;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+TopoDS_Edge
+       StdMeshers_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
+       const TopoDS_Shape & aShape,
+       const TopoDS_Face & aFace,
+       const TopoDS_Vertex & aVertex,
+       const TopTools_IndexedDataMapOfShapeListOfShape & MS)
+{
+       MESSAGE("StdMeshers_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;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+void StdMeshers_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("StdMeshers_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);
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+ostream & StdMeshers_Hexa_3D::SaveTo(ostream & save)
+{
+  return save;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+istream & StdMeshers_Hexa_3D::LoadFrom(istream & load)
+{
+  return load;
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+ostream & operator <<(ostream & save, StdMeshers_Hexa_3D & hyp)
+{
+  return hyp.SaveTo( save );
+}
+
+//=============================================================================
+/*!
+ *  
+ */
+//=============================================================================
+
+istream & operator >>(istream & load, StdMeshers_Hexa_3D & hyp)
+{
+  return hyp.LoadFrom( load );
+}