src/SMESH/SMESH_Hexa_3D.cxx

   1 //  SMESH SMESH : implementaion of SMESH idl descriptions
   2 //
   3 //  Copyright (C) 2003  OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
   4 //  CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
   5 //
   6 //  This library is free software; you can redistribute it and/or
   7 //  modify it under the terms of the GNU Lesser General Public
   8 //  License as published by the Free Software Foundation; either
   9 //  version 2.1 of the License.
  10 //
  11 //  This library is distributed in the hope that it will be useful,
  12 //  but WITHOUT ANY WARRANTY; without even the implied warranty of
  13 //  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  14 //  Lesser General Public License for more details.
  15 //
  16 //  You should have received a copy of the GNU Lesser General Public
  17 //  License along with this library; if not, write to the Free Software
  18 //  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
  19 //
  20 //  See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org
  21 //
  22 //
  23 //
  24 //  File   : SMESH_Hexa_3D.cxx
  25 //  Author : Paul RASCLE, EDF
  26 //  Module : SMESH
  27 //  $Header$
  28
  29 using namespace std;
  30 #include "SMESH_Hexa_3D.hxx"
  31 #include "SMESH_Quadrangle_2D.hxx"
  32 #include "SMESH_Gen.hxx"
  33 #include "SMESH_Mesh.hxx"
  34
  35 #include "SMDS_MeshElement.hxx"
  36 #include "SMDS_MeshNode.hxx"
  37 #include "SMDS_FacePosition.hxx"
  38
  39 #include <TopExp.hxx>
  40 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
  41 #include <TopTools_ListOfShape.hxx>
  42 #include <TopTools_ListIteratorOfListOfShape.hxx>
  43 #include <TColStd_ListIteratorOfListOfInteger.hxx>
  44
  45 #include <BRep_Tool.hxx>
  46 #include <Geom_Surface.hxx>
  47 #include <Geom_Curve.hxx>
  48 #include <Geom2d_Curve.hxx>
  49 #include <Handle_Geom2d_Curve.hxx>
  50 #include <Handle_Geom_Curve.hxx>
  51
  52 #include "utilities.h"
  53
  54 //=============================================================================
  55 /*!
  56  *
  57  */
  58 //=============================================================================
  59
  60 SMESH_Hexa_3D::SMESH_Hexa_3D(int hypId, int studyId,
  61         SMESH_Gen * gen):SMESH_3D_Algo(hypId, studyId, gen)
  62 {
  63         MESSAGE("SMESH_Hexa_3D::SMESH_Hexa_3D");
  64         _name = "Hexa_3D";
  65 //   _shapeType = TopAbs_SOLID;
  66         _shapeType = (1 << TopAbs_SHELL) | (1 << TopAbs_SOLID); // 1 bit /shape type
  67 //   MESSAGE("_shapeType octal " << oct << _shapeType);
  68         for (int i = 0; i < 6; i++)
  69                 _quads[i] = 0;
  70 }
  71
  72 //=============================================================================
  73 /*!
  74  *
  75  */
  76 //=============================================================================
  77
  78 SMESH_Hexa_3D::~SMESH_Hexa_3D()
  79 {
  80         MESSAGE("SMESH_Hexa_3D::~SMESH_Hexa_3D");
  81 }
  82
  83 //=============================================================================
  84 /*!
  85  *
  86  */
  87 //=============================================================================
  88
  89 bool SMESH_Hexa_3D::CheckHypothesis(SMESH_Mesh & aMesh,
  90         const TopoDS_Shape & aShape)
  91 {
  92         MESSAGE("SMESH_Hexa_3D::CheckHypothesis");
  93
  94         bool isOk = true;
  95
  96         // nothing to check
  97
  98         return isOk;
  99 }
 100
 101 //=============================================================================
 102 /*!
 103  * Hexahedron mesh on hexaedron like form
 104  * -0.  - shape and face mesh verification
 105  * -1.  - identify faces and vertices of the "cube"
 106  * -2.  - Algorithm from:
 107  * "Application de l'interpolation transfinie à la création de maillages
 108  *  C0 ou G1 continus sur des triangles, quadrangles, tetraedres, pentaedres
 109  *  et hexaedres déformés."
 110  * Alain PERONNET - 8 janvier 1999
 111  */
 112 //=============================================================================
 113
 114 bool SMESH_Hexa_3D::Compute(SMESH_Mesh & aMesh,
 115         const TopoDS_Shape & aShape)throw(SALOME_Exception)
 116 {
 117         MESSAGE("SMESH_Hexa_3D::Compute");
 118
 119         bool isOk = false;
 120         SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
 121         SMESH_subMesh *theSubMesh = aMesh.GetSubMesh(aShape);
 122         //const SMESHDS_SubMesh *& subMeshDS = theSubMesh->GetSubMeshDS();
 123
 124         // 0.  - shape and face mesh verification
 125         // 0.1 - shape must be a solid (or a shell) with 6 faces
 126         MESSAGE("---");
 127
 128         vector < SMESH_subMesh * >meshFaces;
 129         for (TopExp_Explorer exp(aShape, TopAbs_FACE); exp.More(); exp.Next())
 130         {
 131                 SMESH_subMesh *aSubMesh = aMesh.GetSubMeshContaining(exp.Current());
 132                 ASSERT(aSubMesh);
 133                 meshFaces.push_back(aSubMesh);
 134         }
 135         if (meshFaces.size() != 6)
 136         {
 137                 SCRUTE(meshFaces.size());
 138                 ASSERT(0);
 139                 return false;
 140         }
 141
 142         // 0.2 - is each face meshed with Quadrangle_2D? (so, with a wire of 4 edges)
 143         MESSAGE("---");
 144
 145         for (int i = 0; i < 6; i++)
 146         {
 147                 TopoDS_Shape aShape = meshFaces[i]->GetSubShape();
 148                 SMESH_Algo *algo = _gen->GetAlgo(aMesh, aShape);
 149                 string algoName = algo->GetName();
 150                 if (algoName != "Quadrangle_2D")
 151                 {
 152                         // *** delete _quads
 153                         SCRUTE(algoName);
 154                         ASSERT(0);
 155                         return false;
 156                 }
 157                 SMESH_Quadrangle_2D *quadAlgo =
 158                         dynamic_cast < SMESH_Quadrangle_2D * >(algo);
 159                 ASSERT(quadAlgo);
 160                 try
 161                 {
 162                         _quads[i] = quadAlgo->CheckAnd2Dcompute(aMesh, aShape);
 163                         // *** to delete after usage
 164                 }
 165                 catch(SALOME_Exception & S_ex)
 166                 {
 167                         // *** delete _quads
 168                         // *** throw exception
 169                         ASSERT(0);
 170                 }
 171         }
 172
 173         // 1.  - identify faces and vertices of the "cube"
 174         // 1.1 - ancestor maps vertex->edges in the cube
 175         MESSAGE("---");
 176
 177         TopTools_IndexedDataMapOfShapeListOfShape MS;
 178         TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, MS);
 179
 180         // 1.2 - first face is choosen as face Y=0 of the unit cube
 181         MESSAGE("---");
 182
 183         const TopoDS_Shape & aFace = meshFaces[0]->GetSubShape();
 184         const TopoDS_Face & F = TopoDS::Face(aFace);
 185
 186         // 1.3 - identify the 4 vertices of the face Y=0: V000, V100, V101, V001
 187         MESSAGE("---");
 188
 189         int i = 0;
 190         TopoDS_Edge E = _quads[0]->edge[i];     //edge will be Y=0,Z=0 on unit cube
 191         double f, l;
 192         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 193         TopoDS_Vertex VFirst, VLast;
 194         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 195         bool isForward =
 196                 (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 197
 198         if (isForward)
 199         {
 200                 _cube.V000 = VFirst;    // will be (0,0,0) on the unit cube
 201                 _cube.V100 = VLast;             // will be (1,0,0) on the unit cube
 202         }
 203         else
 204         {
 205                 _cube.V000 = VLast;
 206                 _cube.V100 = VFirst;
 207         }
 208
 209         i = 1;
 210         E = _quads[0]->edge[i];
 211         C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 212         TopExp::Vertices(E, VFirst, VLast);
 213         isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 214         if (isForward)
 215                 _cube.V101 = VLast;             // will be (1,0,1) on the unit cube
 216         else
 217                 _cube.V101 = VFirst;
 218
 219         i = 2;
 220         E = _quads[0]->edge[i];
 221         C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 222         TopExp::Vertices(E, VFirst, VLast);
 223         isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 224         if (isForward)
 225                 _cube.V001 = VLast;             // will be (0,0,1) on the unit cube
 226         else
 227                 _cube.V001 = VFirst;
 228
 229         // 1.4 - find edge X=0, Z=0 (ancestor of V000 not in face Y=0)
 230         //     - find edge X=1, Z=0 (ancestor of V100 not in face Y=0)
 231         //     - find edge X=1, Z=1 (ancestor of V101 not in face Y=0)
 232         //     - find edge X=0, Z=1 (ancestor of V001 not in face Y=0)
 233         MESSAGE("---");
 234
 235         TopoDS_Edge E_0Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V000, MS);
 236         ASSERT(!E_0Y0.IsNull());
 237
 238         TopoDS_Edge E_1Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V100, MS);
 239         ASSERT(!E_1Y0.IsNull());
 240
 241         TopoDS_Edge E_1Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V101, MS);
 242         ASSERT(!E_1Y1.IsNull());
 243
 244         TopoDS_Edge E_0Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V001, MS);
 245         ASSERT(!E_0Y1.IsNull());
 246
 247         // 1.5 - identify the 4 vertices in face Y=1: V010, V110, V111, V011
 248         MESSAGE("---");
 249
 250         TopExp::Vertices(E_0Y0, VFirst, VLast);
 251         if (VFirst.IsSame(_cube.V000))
 252                 _cube.V010 = VLast;
 253         else
 254                 _cube.V010 = VFirst;
 255
 256         TopExp::Vertices(E_1Y0, VFirst, VLast);
 257         if (VFirst.IsSame(_cube.V100))
 258                 _cube.V110 = VLast;
 259         else
 260                 _cube.V110 = VFirst;
 261
 262         TopExp::Vertices(E_1Y1, VFirst, VLast);
 263         if (VFirst.IsSame(_cube.V101))
 264                 _cube.V111 = VLast;
 265         else
 266                 _cube.V111 = VFirst;
 267
 268         TopExp::Vertices(E_0Y1, VFirst, VLast);
 269         if (VFirst.IsSame(_cube.V001))
 270                 _cube.V011 = VLast;
 271         else
 272                 _cube.V011 = VFirst;
 273
 274         // 1.6 - find remaining faces given 4 vertices
 275         MESSAGE("---");
 276
 277         _indY0 = 0;
 278         _cube.quad_Y0 = _quads[_indY0];
 279
 280         _indY1 = GetFaceIndex(aMesh, aShape, meshFaces,
 281                 _cube.V010, _cube.V011, _cube.V110, _cube.V111);
 282         _cube.quad_Y1 = _quads[_indY1];
 283
 284         _indZ0 = GetFaceIndex(aMesh, aShape, meshFaces,
 285                 _cube.V000, _cube.V010, _cube.V100, _cube.V110);
 286         _cube.quad_Z0 = _quads[_indZ0];
 287
 288         _indZ1 = GetFaceIndex(aMesh, aShape, meshFaces,
 289                 _cube.V001, _cube.V011, _cube.V101, _cube.V111);
 290         _cube.quad_Z1 = _quads[_indZ1];
 291
 292         _indX0 = GetFaceIndex(aMesh, aShape, meshFaces,
 293                 _cube.V000, _cube.V001, _cube.V010, _cube.V011);
 294         _cube.quad_X0 = _quads[_indX0];
 295
 296         _indX1 = GetFaceIndex(aMesh, aShape, meshFaces,
 297                 _cube.V100, _cube.V101, _cube.V110, _cube.V111);
 298         _cube.quad_X1 = _quads[_indX1];
 299
 300         MESSAGE("---");
 301
 302         // 1.7 - get convertion coefs from face 2D normalized to 3D normalized
 303
 304         Conv2DStruct cx0;                       // for face X=0
 305         Conv2DStruct cx1;                       // for face X=1
 306         Conv2DStruct cy0;
 307         Conv2DStruct cy1;
 308         Conv2DStruct cz0;
 309         Conv2DStruct cz1;
 310
 311         GetConv2DCoefs(*_cube.quad_X0, meshFaces[_indX0]->GetSubShape(),
 312                 _cube.V000, _cube.V010, _cube.V011, _cube.V001, cx0);
 313         GetConv2DCoefs(*_cube.quad_X1, meshFaces[_indX1]->GetSubShape(),
 314                 _cube.V100, _cube.V110, _cube.V111, _cube.V101, cx1);
 315         GetConv2DCoefs(*_cube.quad_Y0, meshFaces[_indY0]->GetSubShape(),
 316                 _cube.V000, _cube.V100, _cube.V101, _cube.V001, cy0);
 317         GetConv2DCoefs(*_cube.quad_Y1, meshFaces[_indY1]->GetSubShape(),
 318                 _cube.V010, _cube.V110, _cube.V111, _cube.V011, cy1);
 319         GetConv2DCoefs(*_cube.quad_Z0, meshFaces[_indZ0]->GetSubShape(),
 320                 _cube.V000, _cube.V100, _cube.V110, _cube.V010, cz0);
 321         GetConv2DCoefs(*_cube.quad_Z1, meshFaces[_indZ1]->GetSubShape(),
 322                 _cube.V001, _cube.V101, _cube.V111, _cube.V011, cz1);
 323
 324         // 1.8 - create a 3D structure for normalized values
 325
 326         MESSAGE("---");
 327         int nbx = _cube.quad_Y0->nbPts[0];
 328         int nby = _cube.quad_Y0->nbPts[1];
 329         int nbz;
 330         if (cx0.a1 != 0)
 331                 nbz = _cube.quad_X0->nbPts[1];
 332         else
 333                 nbz = _cube.quad_X0->nbPts[0];
 334         //SCRUTE(nbx);
 335         //SCRUTE(nby);
 336         //SCRUTE(nbz);
 337
 338         //
 339         // Adding NB To my point of vue that definition of nbx nby and nbz
 340         // seems to be true (but maybe I am wrong). Of course any comments
 341         // or other suggestions are welcome !!!!
 342         //
 343
 344         nbx = _cube.quad_Z0->nbPts[0];
 345         double det = cz0.a1*cz0.b2 - cz0.a2*cz0.b1;
 346         if (cz0.a1 == 0.) nbx = _cube.quad_Z0->nbPts[1];
 347
 348         nby = _cube.quad_X0->nbPts[0];
 349         det = cx0.a1*cx0.b2 - cx0.a2*cx0.b1;
 350         if (cx0.a1 == 0.) nby = _cube.quad_X0->nbPts[1];
 351
 352         nbz = _cube.quad_Y0->nbPts[0];
 353         det = cy0.a1*cy0.b2 - cy0.a2*cy0.b1;
 354         if (cy0.a1 != 0.) nbz = _cube.quad_Y0->nbPts[1];
 355
 356         SCRUTE(nbx);
 357         SCRUTE(nby);
 358         SCRUTE(nbz);
 359
 360         int nbxyz = nbx * nby * nbz;
 361         Point3DStruct *np = new Point3DStruct[nbxyz];
 362
 363         // 1.9 - store node indexes of faces
 364
 365         {
 366                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX0]->GetSubShape());
 367
 368                 faceQuadStruct *quad = _cube.quad_X0;
 369                 int i = 0;                              // j = x/face , k = y/face
 370                 int nbdown = quad->nbPts[0];
 371                 int nbright = quad->nbPts[1];
 372
 373
 374                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 375                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 376
 377                 while(itf->more())
 378                 {
 379                         const SMDS_MeshNode * node = itf->next();
 380                         const SMDS_FacePosition* fpos
 381                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 382                         double ri = fpos->GetUParameter();
 383                         double rj = fpos->GetVParameter();
 384                         int i1 = int (ri);
 385                         int j1 = int (rj);
 386                         int ij1 = j1 * nbdown + i1;
 387                         quad->uv_grid[ij1].node = node;
 388                 }
 389                 delete itf;
 390
 391                 for (int i1 = 0; i1 < nbdown; i1++)
 392                         for (int j1 = 0; j1 < nbright; j1++)
 393                         {
 394                                 int ij1 = j1 * nbdown + i1;
 395                                 int j = cx0.ia * i1 + cx0.ib * j1 + cx0.ic;     // j = x/face
 396                                 int k = cx0.ja * i1 + cx0.jb * j1 + cx0.jc;     // k = y/face
 397                                 int ijk = k * nbx * nby + j * nbx + i;
 398                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 399                                 np[ijk].node = quad->uv_grid[ij1].node;
 400                                 //SCRUTE(np[ijk].nodeId);
 401                         }
 402         }
 403
 404         {
 405                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX1]->GetSubShape());
 406
 407                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 408                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 409
 410                 faceQuadStruct *quad = _cube.quad_X1;
 411                 int i = nbx - 1;                // j = x/face , k = y/face
 412                 int nbdown = quad->nbPts[0];
 413                 int nbright = quad->nbPts[1];
 414
 415                 while(itf->more())
 416                 {
 417                         const SMDS_MeshNode * node = itf->next();
 418                         const SMDS_FacePosition* fpos
 419                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 420                         double ri = fpos->GetUParameter();
 421                         double rj = fpos->GetVParameter();
 422                         int i1 = int (ri);
 423                         int j1 = int (rj);
 424                         int ij1 = j1 * nbdown + i1;
 425                         quad->uv_grid[ij1].node = node;
 426                 }
 427                 delete itf;
 428
 429                 for (int i1 = 0; i1 < nbdown; i1++)
 430                         for (int j1 = 0; j1 < nbright; j1++)
 431                         {
 432                                 int ij1 = j1 * nbdown + i1;
 433                                 int j = cx1.ia * i1 + cx1.ib * j1 + cx1.ic;     // j = x/face
 434                                 int k = cx1.ja * i1 + cx1.jb * j1 + cx1.jc;     // k = y/face
 435                                 int ijk = k * nbx * nby + j * nbx + i;
 436                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 437                                 np[ijk].node = quad->uv_grid[ij1].node;
 438                                 //SCRUTE(np[ijk].nodeId);
 439                         }
 440         }
 441
 442         {
 443                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY0]->GetSubShape());
 444
 445                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 446                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 447
 448                 faceQuadStruct *quad = _cube.quad_Y0;
 449                 int j = 0;                              // i = x/face , k = y/face
 450                 int nbdown = quad->nbPts[0];
 451                 int nbright = quad->nbPts[1];
 452
 453                 while(itf->more())
 454                 {
 455                         const SMDS_MeshNode * node = itf->next();
 456                         const SMDS_FacePosition * fpos
 457                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 458                         double ri = fpos->GetUParameter();
 459                         double rj = fpos->GetVParameter();
 460                         int i1 = int (ri);
 461                         int j1 = int (rj);
 462                         int ij1 = j1 * nbdown + i1;
 463                         quad->uv_grid[ij1].node = node;
 464                 }
 465                 delete itf;
 466
 467                 for (int i1 = 0; i1 < nbdown; i1++)
 468                         for (int j1 = 0; j1 < nbright; j1++)
 469                         {
 470                                 int ij1 = j1 * nbdown + i1;
 471                                 int i = cy0.ia * i1 + cy0.ib * j1 + cy0.ic;     // i = x/face
 472                                 int k = cy0.ja * i1 + cy0.jb * j1 + cy0.jc;     // k = y/face
 473                                 int ijk = k * nbx * nby + j * nbx + i;
 474                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 475                                 np[ijk].node = quad->uv_grid[ij1].node;
 476                                 //SCRUTE(np[ijk].nodeId);
 477                         }
 478         }
 479
 480         {
 481                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
 482
 483                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 484                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 485
 486                 faceQuadStruct *quad = _cube.quad_Y1;
 487                 int j = nby - 1;                // i = x/face , k = y/face
 488                 int nbdown = quad->nbPts[0];
 489                 int nbright = quad->nbPts[1];
 490
 491                 while(itf->more())
 492                 {
 493                         const SMDS_MeshNode * node = itf->next();
 494                         const SMDS_FacePosition* fpos =
 495                                 static_cast<const SMDS_FacePosition *>(node->GetPosition());
 496                         double ri = fpos->GetUParameter();
 497                         double rj = fpos->GetVParameter();
 498                         int i1 = int (ri);
 499                         int j1 = int (rj);
 500                         int ij1 = j1 * nbdown + i1;
 501                         quad->uv_grid[ij1].node = node;
 502                 }
 503
 504                 for (int i1 = 0; i1 < nbdown; i1++)
 505                         for (int j1 = 0; j1 < nbright; j1++)
 506                         {
 507                                 int ij1 = j1 * nbdown + i1;
 508                                 int i = cy1.ia * i1 + cy1.ib * j1 + cy1.ic;     // i = x/face
 509                                 int k = cy1.ja * i1 + cy1.jb * j1 + cy1.jc;     // k = y/face
 510                                 int ijk = k * nbx * nby + j * nbx + i;
 511                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 512                                 np[ijk].node = quad->uv_grid[ij1].node;
 513                                 //SCRUTE(np[ijk].nodeId);
 514                         }
 515         }
 516
 517         {
 518                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
 519
 520                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 521                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 522
 523                 faceQuadStruct *quad = _cube.quad_Z0;
 524                 int k = 0;                              // i = x/face , j = y/face
 525                 int nbdown = quad->nbPts[0];
 526                 int nbright = quad->nbPts[1];
 527
 528                 while(itf->more())
 529                 {
 530                         const SMDS_MeshNode * node = itf->next();
 531                         const SMDS_FacePosition * fpos
 532                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 533                         double ri = fpos->GetUParameter();
 534                         double rj = fpos->GetVParameter();
 535                         int i1 = int (ri);
 536                         int j1 = int (rj);
 537                         int ij1 = j1 * nbdown + i1;
 538                         quad->uv_grid[ij1].node = node;
 539                 }
 540
 541                 for (int i1 = 0; i1 < nbdown; i1++)
 542                         for (int j1 = 0; j1 < nbright; j1++)
 543                         {
 544                                 int ij1 = j1 * nbdown + i1;
 545                                 int i = cz0.ia * i1 + cz0.ib * j1 + cz0.ic;     // i = x/face
 546                                 int j = cz0.ja * i1 + cz0.jb * j1 + cz0.jc;     // j = y/face
 547                                 int ijk = k * nbx * nby + j * nbx + i;
 548                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 549                                 np[ijk].node = quad->uv_grid[ij1].node;
 550                                 //SCRUTE(np[ijk].nodeId);
 551                         }
 552         }
 553
 554         {
 555                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
 556
 557                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 558                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 559
 560                 faceQuadStruct *quad = _cube.quad_Z1;
 561                 int k = nbz - 1;                // i = x/face , j = y/face
 562                 int nbdown = quad->nbPts[0];
 563                 int nbright = quad->nbPts[1];
 564
 565                 while(itf->more())
 566                 {
 567                         const SMDS_MeshNode * node = itf->next();
 568                         const SMDS_FacePosition* fpos
 569                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 570                         double ri = fpos->GetUParameter();
 571                         double rj = fpos->GetVParameter();
 572                         int i1 = int (ri);
 573                         int j1 = int (rj);
 574                         int ij1 = j1 * nbdown + i1;
 575                         quad->uv_grid[ij1].node = node;
 576                 }
 577
 578                 for (int i1 = 0; i1 < nbdown; i1++)
 579                         for (int j1 = 0; j1 < nbright; j1++)
 580                         {
 581                                 int ij1 = j1 * nbdown + i1;
 582                                 int i = cz1.ia * i1 + cz1.ib * j1 + cz1.ic;     // i = x/face
 583                                 int j = cz1.ja * i1 + cz1.jb * j1 + cz1.jc;     // j = y/face
 584                                 int ijk = k * nbx * nby + j * nbx + i;
 585                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 586                                 np[ijk].node = quad->uv_grid[ij1].node;
 587                                 //SCRUTE(np[ijk].nodeId);
 588                         }
 589         }
 590
 591         // 2.0 - for each node of the cube:
 592         //       - get the 8 points 3D = 8 vertices of the cube
 593         //       - get the 12 points 3D on the 12 edges of the cube
 594         //       - get the 6 points 3D on the 6 faces with their ID
 595         //       - compute the point 3D
 596         //       - store the point 3D in SMESHDS, store its ID in 3D structure
 597
 598         TopoDS_Shell aShell;
 599         TopExp_Explorer exp(aShape, TopAbs_SHELL);
 600         if (exp.More())
 601         {
 602                 aShell = TopoDS::Shell(exp.Current());
 603         }
 604         else
 605         {
 606                 MESSAGE("no shell...");
 607                 ASSERT(0);
 608         }
 609
 610         Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
 611         Pt3 px00, px01, px10, px11;
 612         Pt3 p0y0, p0y1, p1y0, p1y1;
 613         Pt3 p00z, p01z, p10z, p11z;
 614         Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
 615
 616         GetPoint(p000, 0, 0, 0, nbx, nby, nbz, np, meshDS);
 617         GetPoint(p001, 0, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 618         GetPoint(p010, 0, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 619         GetPoint(p011, 0, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 620         GetPoint(p100, nbx - 1, 0, 0, nbx, nby, nbz, np, meshDS);
 621         GetPoint(p101, nbx - 1, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 622         GetPoint(p110, nbx - 1, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 623         GetPoint(p111, nbx - 1, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 624
 625         for (int i = 1; i < nbx - 1; i++)
 626         {
 627                 for (int j = 1; j < nby - 1; j++)
 628                 {
 629                         for (int k = 1; k < nbz - 1; k++)
 630                         {
 631                                 // *** seulement maillage regulier
 632                                 // 12 points on edges
 633                                 GetPoint(px00, i, 0, 0, nbx, nby, nbz, np, meshDS);
 634                                 GetPoint(px01, i, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 635                                 GetPoint(px10, i, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 636                                 GetPoint(px11, i, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 637
 638                                 GetPoint(p0y0, 0, j, 0, nbx, nby, nbz, np, meshDS);
 639                                 GetPoint(p0y1, 0, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 640                                 GetPoint(p1y0, nbx - 1, j, 0, nbx, nby, nbz, np, meshDS);
 641                                 GetPoint(p1y1, nbx - 1, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 642
 643                                 GetPoint(p00z, 0, 0, k, nbx, nby, nbz, np, meshDS);
 644                                 GetPoint(p01z, 0, nby - 1, k, nbx, nby, nbz, np, meshDS);
 645                                 GetPoint(p10z, nbx - 1, 0, k, nbx, nby, nbz, np, meshDS);
 646                                 GetPoint(p11z, nbx - 1, nby - 1, k, nbx, nby, nbz, np, meshDS);
 647
 648                                 // 12 points on faces
 649                                 GetPoint(pxy0, i, j, 0, nbx, nby, nbz, np, meshDS);
 650                                 GetPoint(pxy1, i, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 651                                 GetPoint(px0z, i, 0, k, nbx, nby, nbz, np, meshDS);
 652                                 GetPoint(px1z, i, nby - 1, k, nbx, nby, nbz, np, meshDS);
 653                                 GetPoint(p0yz, 0, j, k, nbx, nby, nbz, np, meshDS);
 654                                 GetPoint(p1yz, nbx - 1, j, k, nbx, nby, nbz, np, meshDS);
 655
 656                                 int ijk = k * nbx * nby + j * nbx + i;
 657                                 double x = double (i) / double (nbx - 1);       // *** seulement
 658                                 double y = double (j) / double (nby - 1);       // *** maillage
 659                                 double z = double (k) / double (nbz - 1);       // *** regulier
 660
 661                                 Pt3 X;
 662                                 for (int i = 0; i < 3; i++)
 663                                 {
 664                                         X[i] =
 665                                                 (1 - x) * p0yz[i] + x * p1yz[i]
 666                                                 + (1 - y) * px0z[i] + y * px1z[i]
 667                                                 + (1 - z) * pxy0[i] + z * pxy1[i]
 668                                                 - (1 - x) * ((1 - y) * p00z[i] + y * p01z[i])
 669                                                 - x * ((1 - y) * p10z[i] + y * p11z[i])
 670                                                 - (1 - y) * ((1 - z) * px00[i] + z * px01[i])
 671                                                 - y * ((1 - z) * px10[i] + z * px11[i])
 672                                                 - (1 - z) * ((1 - x) * p0y0[i] + x * p1y0[i])
 673                                                 - z * ((1 - x) * p0y1[i] + x * p1y1[i])
 674                                                 + (1 - x) * ((1 - y) * ((1 - z) * p000[i] + z * p001[i])
 675                                                 + y * ((1 - z) * p010[i] + z * p011[i]))
 676                                                 + x * ((1 - y) * ((1 - z) * p100[i] + z * p101[i])
 677                                                 + y * ((1 - z) * p110[i] + z * p111[i]));
 678                                 }
 679
 680                                 SMDS_MeshNode * node = meshDS->AddNode(X[0], X[1], X[2]);
 681                                 np[ijk].node = node;
 682                                 //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
 683                                 meshDS->SetNodeInVolume(node, aShell);
 684                         }
 685                 }
 686         }
 687
 688         //2.1 - for each node of the cube (less 3 *1 Faces):
 689         //      - store hexahedron in SMESHDS
 690         MESSAGE("Storing hexahedron into the DS");
 691         for (int i = 0; i < nbx - 1; i++)
 692                 for (int j = 0; j < nby - 1; j++)
 693                         for (int k = 0; k < nbz - 1; k++)
 694                         {
 695                                 int n1 = k * nbx * nby + j * nbx + i;
 696                                 int n2 = k * nbx * nby + j * nbx + i + 1;
 697                                 int n3 = k * nbx * nby + (j + 1) * nbx + i + 1;
 698                                 int n4 = k * nbx * nby + (j + 1) * nbx + i;
 699                                 int n5 = (k + 1) * nbx * nby + j * nbx + i;
 700                                 int n6 = (k + 1) * nbx * nby + j * nbx + i + 1;
 701                                 int n7 = (k + 1) * nbx * nby + (j + 1) * nbx + i + 1;
 702                                 int n8 = (k + 1) * nbx * nby + (j + 1) * nbx + i;
 703
 704 //    MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
 705                                 //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);
 706
 707                                 SMDS_MeshVolume * elt = meshDS->AddVolume(np[n1].node,
 708                                         np[n2].node,
 709                                         np[n3].node,
 710                                         np[n4].node,
 711                                         np[n5].node,
 712                                         np[n6].node,
 713                                         np[n7].node,
 714                                         np[n8].node);
 715                                  ;
 716                                 meshDS->SetMeshElementOnShape(elt, aShell);
 717
 718                                 // *** 5 tetrahedres ... verifier orientations,
 719                                 //     mettre en coherence &vec quadrangles-> triangles
 720                                 //     choisir afficher 1 parmi edges, face et volumes
 721 //    int tetra1 = meshDS->AddVolume(np[n1].nodeId,
 722 //                   np[n2].nodeId,
 723 //                   np[n4].nodeId,
 724 //                   np[n5].nodeId);
 725 //    int tetra2 = meshDS->AddVolume(np[n2].nodeId,
 726 //                   np[n3].nodeId,
 727 //                   np[n4].nodeId,
 728 //                   np[n7].nodeId);
 729 //    int tetra3 = meshDS->AddVolume(np[n5].nodeId,
 730 //                   np[n6].nodeId,
 731 //                   np[n7].nodeId,
 732 //                   np[n2].nodeId);
 733 //    int tetra4 = meshDS->AddVolume(np[n5].nodeId,
 734 //                   np[n7].nodeId,
 735 //                   np[n8].nodeId,
 736 //                   np[n4].nodeId);
 737 //    int tetra5 = meshDS->AddVolume(np[n5].nodeId,
 738 //                   np[n7].nodeId,
 739 //                   np[n2].nodeId,
 740 //                   np[n4].nodeId);
 741
 742                         }
 743
 744         MESSAGE("End of SMESH_Hexa_3D::Compute()");
 745         return true;
 746 }
 747
 748 //=============================================================================
 749 /*!
 750  *
 751  */
 752 //=============================================================================
 753
 754 void SMESH_Hexa_3D::GetPoint(Pt3 p, int i, int j, int k, int nbx, int nby,
 755         int nbz, Point3DStruct * np, const SMESHDS_Mesh * meshDS)
 756 {
 757         int ijk = k * nbx * nby + j * nbx + i;
 758         const SMDS_MeshNode * node = np[ijk].node;
 759         p[0] = node->X();
 760         p[1] = node->Y();
 761         p[2] = node->Z();
 762         //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
 763 }
 764
 765 //=============================================================================
 766 /*!
 767  *
 768  */
 769 //=============================================================================
 770
 771 int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh & aMesh,
 772         const TopoDS_Shape & aShape,
 773         const vector < SMESH_subMesh * >&meshFaces,
 774         const TopoDS_Vertex & V0,
 775         const TopoDS_Vertex & V1,
 776         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3)
 777 {
 778         MESSAGE("SMESH_Hexa_3D::GetFaceIndex");
 779         int faceIndex = -1;
 780         for (int i = 1; i < 6; i++)
 781         {
 782                 const TopoDS_Shape & aFace = meshFaces[i]->GetSubShape();
 783                 //const TopoDS_Face& F = TopoDS::Face(aFace);
 784                 TopTools_IndexedMapOfShape M;
 785                 TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
 786                 bool verticesInShape = false;
 787                 if (M.Contains(V0))
 788                         if (M.Contains(V1))
 789                                 if (M.Contains(V2))
 790                                         if (M.Contains(V3))
 791                                                 verticesInShape = true;
 792                 if (verticesInShape)
 793                 {
 794                         faceIndex = i;
 795                         break;
 796                 }
 797         }
 798         ASSERT(faceIndex > 0);
 799         SCRUTE(faceIndex);
 800         return faceIndex;
 801 }
 802
 803 //=============================================================================
 804 /*!
 805  *
 806  */
 807 //=============================================================================
 808
 809 TopoDS_Edge
 810         SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
 811         const TopoDS_Shape & aShape,
 812         const TopoDS_Face & aFace,
 813         const TopoDS_Vertex & aVertex,
 814         const TopTools_IndexedDataMapOfShapeListOfShape & MS)
 815 {
 816         MESSAGE("SMESH_Hexa_3D::EdgeNotInFace");
 817         TopTools_IndexedDataMapOfShapeListOfShape MF;
 818         TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
 819         const TopTools_ListOfShape & ancestorsInSolid = MS.FindFromKey(aVertex);
 820         const TopTools_ListOfShape & ancestorsInFace = MF.FindFromKey(aVertex);
 821         SCRUTE(ancestorsInSolid.Extent());
 822         SCRUTE(ancestorsInFace.Extent());
 823         ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
 824         ASSERT(ancestorsInFace.Extent() == 2);
 825
 826         TopoDS_Edge E;
 827         E.Nullify();
 828         TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
 829         for (; its.More(); its.Next())
 830         {
 831                 TopoDS_Shape ancestor = its.Value();
 832                 TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
 833                 bool isInFace = false;
 834                 for (; itf.More(); itf.Next())
 835                 {
 836                         TopoDS_Shape ancestorInFace = itf.Value();
 837                         if (ancestorInFace.IsSame(ancestor))
 838                         {
 839                                 isInFace = true;
 840                                 break;
 841                         }
 842                 }
 843                 if (!isInFace)
 844                 {
 845                         E = TopoDS::Edge(ancestor);
 846                         break;
 847                 }
 848         }
 849         return E;
 850 }
 851
 852 //=============================================================================
 853 /*!
 854  *
 855  */
 856 //=============================================================================
 857
 858 void SMESH_Hexa_3D::GetConv2DCoefs(const faceQuadStruct & quad,
 859         const TopoDS_Shape & aShape,
 860         const TopoDS_Vertex & V0,
 861         const TopoDS_Vertex & V1,
 862         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3, Conv2DStruct & conv)
 863 {
 864         MESSAGE("SMESH_Hexa_3D::GetConv2DCoefs");
 865         const TopoDS_Face & F = TopoDS::Face(aShape);
 866         TopoDS_Edge E = quad.edge[0];
 867         double f, l;
 868         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 869         TopoDS_Vertex VFirst, VLast;
 870         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 871         bool isForward = (((l - f) * (quad.last[0] - quad.first[0])) > 0);
 872         TopoDS_Vertex VA, VB;
 873         if (isForward)
 874         {
 875                 VA = VFirst;
 876                 VB = VLast;
 877         }
 878         else
 879         {
 880                 VA = VLast;
 881                 VB = VFirst;
 882         }
 883         int a1, b1, c1, a2, b2, c2;
 884         if (VA.IsSame(V0))
 885                 if (VB.IsSame(V1))
 886                 {
 887                         a1 = 1;
 888                         b1 = 0;
 889                         c1 = 0;                         // x
 890                         a2 = 0;
 891                         b2 = 1;
 892                         c2 = 0;                         // y
 893                 }
 894                 else
 895                 {
 896                         ASSERT(VB.IsSame(V3));
 897                         a1 = 0;
 898                         b1 = 1;
 899                         c1 = 0;                         // y
 900                         a2 = 1;
 901                         b2 = 0;
 902                         c2 = 0;                         // x
 903                 }
 904         if (VA.IsSame(V1))
 905                 if (VB.IsSame(V2))
 906                 {
 907                         a1 = 0;
 908                         b1 = -1;
 909                         c1 = 1;                         // 1-y
 910                         a2 = 1;
 911                         b2 = 0;
 912                         c2 = 0;                         // x
 913                 }
 914                 else
 915                 {
 916                         ASSERT(VB.IsSame(V0));
 917                         a1 = -1;
 918                         b1 = 0;
 919                         c1 = 1;                         // 1-x
 920                         a2 = 0;
 921                         b2 = 1;
 922                         c2 = 0;                         // y
 923                 }
 924         if (VA.IsSame(V2))
 925                 if (VB.IsSame(V3))
 926                 {
 927                         a1 = -1;
 928                         b1 = 0;
 929                         c1 = 1;                         // 1-x
 930                         a2 = 0;
 931                         b2 = -1;
 932                         c2 = 1;                         // 1-y
 933                 }
 934                 else
 935                 {
 936                         ASSERT(VB.IsSame(V1));
 937                         a1 = 0;
 938                         b1 = -1;
 939                         c1 = 1;                         // 1-y
 940                         a2 = -1;
 941                         b2 = 0;
 942                         c2 = 1;                         // 1-x
 943                 }
 944         if (VA.IsSame(V3))
 945                 if (VB.IsSame(V0))
 946                 {
 947                         a1 = 0;
 948                         b1 = 1;
 949                         c1 = 0;                         // y
 950                         a2 = -1;
 951                         b2 = 0;
 952                         c2 = 1;                         // 1-x
 953                 }
 954                 else
 955                 {
 956                         ASSERT(VB.IsSame(V2));
 957                         a1 = 1;
 958                         b1 = 0;
 959                         c1 = 0;                         // x
 960                         a2 = 0;
 961                         b2 = -1;
 962                         c2 = 1;                         // 1-y
 963                 }
 964         MESSAGE("X = " << c1 << "+ " << a1 << "*x + " << b1 << "*y");
 965         MESSAGE("Y = " << c2 << "+ " << a2 << "*x + " << b2 << "*y");
 966         conv.a1 = a1;
 967         conv.b1 = b1;
 968         conv.c1 = c1;
 969         conv.a2 = a2;
 970         conv.b2 = b2;
 971         conv.c2 = c2;
 972
 973         int nbdown = quad.nbPts[0];
 974         int nbright = quad.nbPts[1];
 975         conv.ia = int (a1);
 976         conv.ib = int (b1);
 977         conv.ic =
 978                 int (c1 * a1 * a1) * (nbdown - 1) + int (c1 * b1 * b1) * (nbright - 1);
 979         conv.ja = int (a2);
 980         conv.jb = int (b2);
 981         conv.jc =
 982                 int (c2 * a2 * a2) * (nbdown - 1) + int (c2 * b2 * b2) * (nbright - 1);
 983         MESSAGE("I " << conv.ia << " " << conv.ib << " " << conv.ic);
 984         MESSAGE("J " << conv.ja << " " << conv.jb << " " << conv.jc);
 985 }
 986
 987 //=============================================================================
 988 /*!
 989  *
 990  */
 991 //=============================================================================
 992
 993 ostream & SMESH_Hexa_3D::SaveTo(ostream & save)
 994 {
 995         return save << this;
 996 }
 997
 998 //=============================================================================
 999 /*!
1000  *
1001  */
1002 //=============================================================================
1003
1004 istream & SMESH_Hexa_3D::LoadFrom(istream & load)
1005 {
1006         return load >> (*this);
1007 }
1008
1009 //=============================================================================
1010 /*!
1011  *
1012  */
1013 //=============================================================================
1014
1015 ostream & operator <<(ostream & save, SMESH_Hexa_3D & hyp)
1016 {
1017         return save;
1018 }
1019
1020 //=============================================================================
1021 /*!
1022  *
1023  */
1024 //=============================================================================
1025
1026 istream & operator >>(istream & load, SMESH_Hexa_3D & hyp)
1027 {
1028         return load;
1029 }