src/StdMeshers/StdMeshers_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   : StdMeshers_Hexa_3D.cxx
  25 //           Moved here from SMESH_Hexa_3D.cxx
  26 //  Author : Paul RASCLE, EDF
  27 //  Module : SMESH
  28 //  $Header$
  29
  30 using namespace std;
  31 #include "StdMeshers_Hexa_3D.hxx"
  32 #include "StdMeshers_Quadrangle_2D.hxx"
  33 #include "SMESH_Gen.hxx"
  34 #include "SMESH_Mesh.hxx"
  35 #include "SMESH_subMesh.hxx"
  36
  37 #include "SMDS_MeshElement.hxx"
  38 #include "SMDS_MeshNode.hxx"
  39 #include "SMDS_FacePosition.hxx"
  40
  41 #include <TopExp.hxx>
  42 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
  43 #include <TopTools_ListOfShape.hxx>
  44 #include <TopTools_ListIteratorOfListOfShape.hxx>
  45 #include <TColStd_ListIteratorOfListOfInteger.hxx>
  46
  47 #include <BRep_Tool.hxx>
  48 #include <Geom_Surface.hxx>
  49 #include <Geom_Curve.hxx>
  50 #include <Geom2d_Curve.hxx>
  51 #include <Handle_Geom2d_Curve.hxx>
  52 #include <Handle_Geom_Curve.hxx>
  53 #include <gp_Pnt2d.hxx>
  54
  55 #include "utilities.h"
  56 #include "Utils_ExceptHandlers.hxx"
  57
  58
  59 //=============================================================================
  60 /*!
  61  *
  62  */
  63 //=============================================================================
  64
  65 StdMeshers_Hexa_3D::StdMeshers_Hexa_3D(int hypId, int studyId,
  66         SMESH_Gen * gen):SMESH_3D_Algo(hypId, studyId, gen)
  67 {
  68         MESSAGE("StdMeshers_Hexa_3D::StdMeshers_Hexa_3D");
  69         _name = "Hexa_3D";
  70 //   _shapeType = TopAbs_SOLID;
  71         _shapeType = (1 << TopAbs_SHELL) | (1 << TopAbs_SOLID); // 1 bit /shape type
  72 //   MESSAGE("_shapeType octal " << oct << _shapeType);
  73         for (int i = 0; i < 6; i++)
  74                 _quads[i] = 0;
  75 }
  76
  77 //=============================================================================
  78 /*!
  79  *
  80  */
  81 //=============================================================================
  82
  83 StdMeshers_Hexa_3D::~StdMeshers_Hexa_3D()
  84 {
  85         MESSAGE("StdMeshers_Hexa_3D::~StdMeshers_Hexa_3D");
  86 }
  87
  88 //=============================================================================
  89 /*!
  90  *
  91  */
  92 //=============================================================================
  93
  94 bool StdMeshers_Hexa_3D::CheckHypothesis
  95                          (SMESH_Mesh& aMesh,
  96                           const TopoDS_Shape& aShape,
  97                           SMESH_Hypothesis::Hypothesis_Status& aStatus)
  98 {
  99         //MESSAGE("StdMeshers_Hexa_3D::CheckHypothesis");
 100
 101         bool isOk = true;
 102         aStatus = SMESH_Hypothesis::HYP_OK;
 103
 104         // nothing to check
 105
 106         return isOk;
 107 }
 108
 109 //=======================================================================
 110 //function : findIJ
 111 //purpose  : return i,j of the node
 112 //=======================================================================
 113
 114 static bool findIJ (const SMDS_MeshNode* node, const FaceQuadStruct * quad, int& I, int& J)
 115 {
 116   I = J = 0;
 117   const SMDS_FacePosition* fpos =
 118     static_cast<const SMDS_FacePosition*>(node->GetPosition().get());
 119   if ( ! fpos ) return false;
 120   gp_Pnt2d uv( fpos->GetUParameter(), fpos->GetVParameter() );
 121
 122   double minDist = DBL_MAX;
 123   int nbhoriz  = Min(quad->nbPts[0], quad->nbPts[2]);
 124   int nbvertic = Min(quad->nbPts[1], quad->nbPts[3]);
 125   for (int i = 1; i < nbhoriz - 1; i++) {
 126     for (int j = 1; j < nbvertic - 1; j++) {
 127       int ij = j * nbhoriz + i;
 128       gp_Pnt2d uv2( quad->uv_grid[ij].u, quad->uv_grid[ij].v );
 129       double dist = uv.SquareDistance( uv2 );
 130       if ( dist < minDist ) {
 131         minDist = dist;
 132         I = i;
 133         J = j;
 134       }
 135     }
 136   }
 137   return true;
 138 }
 139
 140 //=============================================================================
 141 /*!
 142  * Hexahedron mesh on hexaedron like form
 143  * -0.  - shape and face mesh verification
 144  * -1.  - identify faces and vertices of the "cube"
 145  * -2.  - Algorithm from:
 146  * "Application de l'interpolation transfinie à la création de maillages
 147  *  C0 ou G1 continus sur des triangles, quadrangles, tetraedres, pentaedres
 148  *  et hexaedres déformés."
 149  * Alain PERONNET - 8 janvier 1999
 150  */
 151 //=============================================================================
 152
 153 bool StdMeshers_Hexa_3D::Compute(SMESH_Mesh & aMesh,
 154         const TopoDS_Shape & aShape)throw(SALOME_Exception)
 155 {
 156   Unexpect aCatch(SalomeException);
 157         MESSAGE("StdMeshers_Hexa_3D::Compute");
 158
 159         bool isOk = false;
 160         SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
 161         SMESH_subMesh *theSubMesh = aMesh.GetSubMesh(aShape);
 162         //const SMESHDS_SubMesh *& subMeshDS = theSubMesh->GetSubMeshDS();
 163
 164         // 0.  - shape and face mesh verification
 165         // 0.1 - shape must be a solid (or a shell) with 6 faces
 166         //MESSAGE("---");
 167
 168         vector < SMESH_subMesh * >meshFaces;
 169         for (TopExp_Explorer exp(aShape, TopAbs_FACE); exp.More(); exp.Next())
 170         {
 171                 SMESH_subMesh *aSubMesh = aMesh.GetSubMeshContaining(exp.Current());
 172                 ASSERT(aSubMesh);
 173                 meshFaces.push_back(aSubMesh);
 174         }
 175         if (meshFaces.size() != 6)
 176         {
 177                 SCRUTE(meshFaces.size());
 178 //              ASSERT(0);
 179                 return false;
 180         }
 181
 182         // 0.2 - is each face meshed with Quadrangle_2D? (so, with a wire of 4 edges)
 183         //MESSAGE("---");
 184
 185         for (int i = 0; i < 6; i++)
 186         {
 187                 TopoDS_Shape aShape = meshFaces[i]->GetSubShape();
 188                 SMESH_Algo *algo = _gen->GetAlgo(aMesh, aShape);
 189                 string algoName = algo->GetName();
 190                 if (algoName != "Quadrangle_2D")
 191                 {
 192                         // *** delete _quads
 193                         SCRUTE(algoName);
 194 //                      ASSERT(0);
 195                         return false;
 196                 }
 197                 StdMeshers_Quadrangle_2D *quadAlgo =
 198                         dynamic_cast < StdMeshers_Quadrangle_2D * >(algo);
 199                 ASSERT(quadAlgo);
 200                 try
 201                 {
 202                         _quads[i] = quadAlgo->CheckAnd2Dcompute(aMesh, aShape);
 203                         // *** to delete after usage
 204                 }
 205                 catch(SALOME_Exception & S_ex)
 206                 {
 207                         // *** delete _quads
 208                         // *** throw exception
 209 //                      ASSERT(0);
 210                         return false;
 211                 }
 212
 213                 // 0.2.1 - number of points on the opposite edges must be the same
 214                 if (_quads[i]->nbPts[0] != _quads[i]->nbPts[2] ||
 215                     _quads[i]->nbPts[1] != _quads[i]->nbPts[3])
 216                 {
 217                   MESSAGE("different number of points on the opposite edges of face " << i);
 218 //                  ASSERT(0);
 219                   return false;
 220                 }
 221         }
 222
 223         // 1.  - identify faces and vertices of the "cube"
 224         // 1.1 - ancestor maps vertex->edges in the cube
 225         //MESSAGE("---");
 226
 227         TopTools_IndexedDataMapOfShapeListOfShape MS;
 228         TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, MS);
 229
 230         // 1.2 - first face is choosen as face Y=0 of the unit cube
 231         //MESSAGE("---");
 232
 233         const TopoDS_Shape & aFace = meshFaces[0]->GetSubShape();
 234         const TopoDS_Face & F = TopoDS::Face(aFace);
 235
 236         // 1.3 - identify the 4 vertices of the face Y=0: V000, V100, V101, V001
 237         //MESSAGE("---");
 238
 239         int i = 0;
 240         TopoDS_Edge E = _quads[0]->edge[i];     //edge will be Y=0,Z=0 on unit cube
 241         double f, l;
 242         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 243         TopoDS_Vertex VFirst, VLast;
 244         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 245         bool isForward =
 246                 (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 247
 248         if (isForward)
 249         {
 250                 _cube.V000 = VFirst;    // will be (0,0,0) on the unit cube
 251                 _cube.V100 = VLast;             // will be (1,0,0) on the unit cube
 252         }
 253         else
 254         {
 255                 _cube.V000 = VLast;
 256                 _cube.V100 = VFirst;
 257         }
 258
 259         i = 1;
 260         E = _quads[0]->edge[i];
 261         C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 262         TopExp::Vertices(E, VFirst, VLast);
 263         isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 264         if (isForward)
 265                 _cube.V101 = VLast;             // will be (1,0,1) on the unit cube
 266         else
 267                 _cube.V101 = VFirst;
 268
 269         i = 2;
 270         E = _quads[0]->edge[i];
 271         C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 272         TopExp::Vertices(E, VFirst, VLast);
 273         isForward = (((l - f) * (_quads[0]->last[i] - _quads[0]->first[i])) > 0);
 274         if (isForward)
 275                 _cube.V001 = VLast;             // will be (0,0,1) on the unit cube
 276         else
 277                 _cube.V001 = VFirst;
 278
 279         // 1.4 - find edge X=0, Z=0 (ancestor of V000 not in face Y=0)
 280         //     - find edge X=1, Z=0 (ancestor of V100 not in face Y=0)
 281         //     - find edge X=1, Z=1 (ancestor of V101 not in face Y=0)
 282         //     - find edge X=0, Z=1 (ancestor of V001 not in face Y=0)
 283         //MESSAGE("---");
 284
 285         TopoDS_Edge E_0Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V000, MS);
 286         ASSERT(!E_0Y0.IsNull());
 287
 288         TopoDS_Edge E_1Y0 = EdgeNotInFace(aMesh, aShape, F, _cube.V100, MS);
 289         ASSERT(!E_1Y0.IsNull());
 290
 291         TopoDS_Edge E_1Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V101, MS);
 292         ASSERT(!E_1Y1.IsNull());
 293
 294         TopoDS_Edge E_0Y1 = EdgeNotInFace(aMesh, aShape, F, _cube.V001, MS);
 295         ASSERT(!E_0Y1.IsNull());
 296
 297         // 1.5 - identify the 4 vertices in face Y=1: V010, V110, V111, V011
 298         //MESSAGE("---");
 299
 300         TopExp::Vertices(E_0Y0, VFirst, VLast);
 301         if (VFirst.IsSame(_cube.V000))
 302                 _cube.V010 = VLast;
 303         else
 304                 _cube.V010 = VFirst;
 305
 306         TopExp::Vertices(E_1Y0, VFirst, VLast);
 307         if (VFirst.IsSame(_cube.V100))
 308                 _cube.V110 = VLast;
 309         else
 310                 _cube.V110 = VFirst;
 311
 312         TopExp::Vertices(E_1Y1, VFirst, VLast);
 313         if (VFirst.IsSame(_cube.V101))
 314                 _cube.V111 = VLast;
 315         else
 316                 _cube.V111 = VFirst;
 317
 318         TopExp::Vertices(E_0Y1, VFirst, VLast);
 319         if (VFirst.IsSame(_cube.V001))
 320                 _cube.V011 = VLast;
 321         else
 322                 _cube.V011 = VFirst;
 323
 324         // 1.6 - find remaining faces given 4 vertices
 325         //MESSAGE("---");
 326
 327         _indY0 = 0;
 328         _cube.quad_Y0 = _quads[_indY0];
 329
 330         _indY1 = GetFaceIndex(aMesh, aShape, meshFaces,
 331                 _cube.V010, _cube.V011, _cube.V110, _cube.V111);
 332         _cube.quad_Y1 = _quads[_indY1];
 333
 334         _indZ0 = GetFaceIndex(aMesh, aShape, meshFaces,
 335                 _cube.V000, _cube.V010, _cube.V100, _cube.V110);
 336         _cube.quad_Z0 = _quads[_indZ0];
 337
 338         _indZ1 = GetFaceIndex(aMesh, aShape, meshFaces,
 339                 _cube.V001, _cube.V011, _cube.V101, _cube.V111);
 340         _cube.quad_Z1 = _quads[_indZ1];
 341
 342         _indX0 = GetFaceIndex(aMesh, aShape, meshFaces,
 343                 _cube.V000, _cube.V001, _cube.V010, _cube.V011);
 344         _cube.quad_X0 = _quads[_indX0];
 345
 346         _indX1 = GetFaceIndex(aMesh, aShape, meshFaces,
 347                 _cube.V100, _cube.V101, _cube.V110, _cube.V111);
 348         _cube.quad_X1 = _quads[_indX1];
 349
 350         //MESSAGE("---");
 351
 352         // 1.7 - get convertion coefs from face 2D normalized to 3D normalized
 353
 354         Conv2DStruct cx0;                       // for face X=0
 355         Conv2DStruct cx1;                       // for face X=1
 356         Conv2DStruct cy0;
 357         Conv2DStruct cy1;
 358         Conv2DStruct cz0;
 359         Conv2DStruct cz1;
 360
 361         GetConv2DCoefs(*_cube.quad_X0, meshFaces[_indX0]->GetSubShape(),
 362                 _cube.V000, _cube.V010, _cube.V011, _cube.V001, cx0);
 363         GetConv2DCoefs(*_cube.quad_X1, meshFaces[_indX1]->GetSubShape(),
 364                 _cube.V100, _cube.V110, _cube.V111, _cube.V101, cx1);
 365         GetConv2DCoefs(*_cube.quad_Y0, meshFaces[_indY0]->GetSubShape(),
 366                 _cube.V000, _cube.V100, _cube.V101, _cube.V001, cy0);
 367         GetConv2DCoefs(*_cube.quad_Y1, meshFaces[_indY1]->GetSubShape(),
 368                 _cube.V010, _cube.V110, _cube.V111, _cube.V011, cy1);
 369         GetConv2DCoefs(*_cube.quad_Z0, meshFaces[_indZ0]->GetSubShape(),
 370                 _cube.V000, _cube.V100, _cube.V110, _cube.V010, cz0);
 371         GetConv2DCoefs(*_cube.quad_Z1, meshFaces[_indZ1]->GetSubShape(),
 372                 _cube.V001, _cube.V101, _cube.V111, _cube.V011, cz1);
 373
 374         // 1.8 - create a 3D structure for normalized values
 375
 376         //MESSAGE("---");
 377         int nbx = _cube.quad_Z0->nbPts[0];
 378         if (cz0.a1 == 0.) nbx = _cube.quad_Z0->nbPts[1];
 379
 380         int nby = _cube.quad_X0->nbPts[0];
 381         if (cx0.a1 == 0.) nby = _cube.quad_X0->nbPts[1];
 382
 383         int nbz = _cube.quad_Y0->nbPts[0];
 384         if (cy0.a1 != 0.) nbz = _cube.quad_Y0->nbPts[1];
 385 //      int nbx = _cube.quad_Y0->nbPts[0];
 386 //      int nby = _cube.quad_Y0->nbPts[1];
 387 //      int nbz;
 388 //      if (cx0.a1 != 0)
 389 //              nbz = _cube.quad_X0->nbPts[1];
 390 //      else
 391 //              nbz = _cube.quad_X0->nbPts[0];
 392         //SCRUTE(nbx);
 393         //SCRUTE(nby);
 394         //SCRUTE(nbz);
 395         int i1, j1, nbxyz = nbx * nby * nbz;
 396         Point3DStruct *np = new Point3DStruct[nbxyz];
 397
 398         // 1.9 - store node indexes of faces
 399
 400         {
 401                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX0]->GetSubShape());
 402
 403                 faceQuadStruct *quad = _cube.quad_X0;
 404                 int i = 0;                              // j = x/face , k = y/face
 405                 int nbdown = quad->nbPts[0];
 406                 int nbright = quad->nbPts[1];
 407
 408
 409                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 410
 411                 while(itf->more())
 412                 {
 413                         const SMDS_MeshNode * node = itf->next();
 414                         findIJ( node, quad, i1, j1 );
 415                         int ij1 = j1 * nbdown + i1;
 416                         quad->uv_grid[ij1].node = node;
 417                 }
 418
 419                 for (int i1 = 0; i1 < nbdown; i1++)
 420                         for (int j1 = 0; j1 < nbright; j1++)
 421                         {
 422                                 int ij1 = j1 * nbdown + i1;
 423                                 int j = cx0.ia * i1 + cx0.ib * j1 + cx0.ic;     // j = x/face
 424                                 int k = cx0.ja * i1 + cx0.jb * j1 + cx0.jc;     // k = y/face
 425                                 int ijk = k * nbx * nby + j * nbx + i;
 426                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 427                                 np[ijk].node = quad->uv_grid[ij1].node;
 428                                 //SCRUTE(np[ijk].nodeId);
 429                         }
 430         }
 431
 432         {
 433                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX1]->GetSubShape());
 434
 435                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 436
 437                 faceQuadStruct *quad = _cube.quad_X1;
 438                 int i = nbx - 1;                // j = x/face , k = y/face
 439                 int nbdown = quad->nbPts[0];
 440                 int nbright = quad->nbPts[1];
 441
 442                 while(itf->more())
 443                 {
 444                         const SMDS_MeshNode * node = itf->next();
 445                         findIJ( node, quad, i1, j1 );
 446                         int ij1 = j1 * nbdown + i1;
 447                         quad->uv_grid[ij1].node = node;
 448                 }
 449
 450                 for (int i1 = 0; i1 < nbdown; i1++)
 451                         for (int j1 = 0; j1 < nbright; j1++)
 452                         {
 453                                 int ij1 = j1 * nbdown + i1;
 454                                 int j = cx1.ia * i1 + cx1.ib * j1 + cx1.ic;     // j = x/face
 455                                 int k = cx1.ja * i1 + cx1.jb * j1 + cx1.jc;     // k = y/face
 456                                 int ijk = k * nbx * nby + j * nbx + i;
 457                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 458                                 np[ijk].node = quad->uv_grid[ij1].node;
 459                                 //SCRUTE(np[ijk].nodeId);
 460                         }
 461         }
 462
 463         {
 464                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY0]->GetSubShape());
 465
 466                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 467
 468                 faceQuadStruct *quad = _cube.quad_Y0;
 469                 int j = 0;                              // i = x/face , k = y/face
 470                 int nbdown = quad->nbPts[0];
 471                 int nbright = quad->nbPts[1];
 472
 473                 while(itf->more())
 474                 {
 475                         const SMDS_MeshNode * node = itf->next();
 476                         findIJ( node, quad, i1, j1 );
 477                         int ij1 = j1 * nbdown + i1;
 478                         quad->uv_grid[ij1].node = node;
 479                 }
 480
 481                 for (int i1 = 0; i1 < nbdown; i1++)
 482                         for (int j1 = 0; j1 < nbright; j1++)
 483                         {
 484                                 int ij1 = j1 * nbdown + i1;
 485                                 int i = cy0.ia * i1 + cy0.ib * j1 + cy0.ic;     // i = x/face
 486                                 int k = cy0.ja * i1 + cy0.jb * j1 + cy0.jc;     // k = y/face
 487                                 int ijk = k * nbx * nby + j * nbx + i;
 488                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 489                                 np[ijk].node = quad->uv_grid[ij1].node;
 490                                 //SCRUTE(np[ijk].nodeId);
 491                         }
 492         }
 493
 494         {
 495                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
 496
 497                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 498
 499                 faceQuadStruct *quad = _cube.quad_Y1;
 500                 int j = nby - 1;                // i = x/face , k = y/face
 501                 int nbdown = quad->nbPts[0];
 502                 int nbright = quad->nbPts[1];
 503
 504                 while(itf->more())
 505                 {
 506                         const SMDS_MeshNode * node = itf->next();
 507                         findIJ( node, quad, i1, j1 );
 508                         int ij1 = j1 * nbdown + i1;
 509                         quad->uv_grid[ij1].node = node;
 510                 }
 511
 512                 for (int i1 = 0; i1 < nbdown; i1++)
 513                         for (int j1 = 0; j1 < nbright; j1++)
 514                         {
 515                                 int ij1 = j1 * nbdown + i1;
 516                                 int i = cy1.ia * i1 + cy1.ib * j1 + cy1.ic;     // i = x/face
 517                                 int k = cy1.ja * i1 + cy1.jb * j1 + cy1.jc;     // k = y/face
 518                                 int ijk = k * nbx * nby + j * nbx + i;
 519                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 520                                 np[ijk].node = quad->uv_grid[ij1].node;
 521                                 //SCRUTE(np[ijk].nodeId);
 522                         }
 523         }
 524
 525         {
 526                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
 527
 528                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 529
 530                 faceQuadStruct *quad = _cube.quad_Z0;
 531                 int k = 0;                              // i = x/face , j = y/face
 532                 int nbdown = quad->nbPts[0];
 533                 int nbright = quad->nbPts[1];
 534
 535                 while(itf->more())
 536                 {
 537                         const SMDS_MeshNode * node = itf->next();
 538                         findIJ( node, quad, i1, j1 );
 539                         int ij1 = j1 * nbdown + i1;
 540                         quad->uv_grid[ij1].node = node;
 541                 }
 542
 543                 for (int i1 = 0; i1 < nbdown; i1++)
 544                         for (int j1 = 0; j1 < nbright; j1++)
 545                         {
 546                                 int ij1 = j1 * nbdown + i1;
 547                                 int i = cz0.ia * i1 + cz0.ib * j1 + cz0.ic;     // i = x/face
 548                                 int j = cz0.ja * i1 + cz0.jb * j1 + cz0.jc;     // j = y/face
 549                                 int ijk = k * nbx * nby + j * nbx + i;
 550                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 551                                 np[ijk].node = quad->uv_grid[ij1].node;
 552                                 //SCRUTE(np[ijk].nodeId);
 553                         }
 554         }
 555
 556         {
 557                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
 558
 559                 SMDS_NodeIteratorPtr itf= aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 560
 561                 faceQuadStruct *quad = _cube.quad_Z1;
 562                 int k = nbz - 1;                // i = x/face , j = y/face
 563                 int nbdown = quad->nbPts[0];
 564                 int nbright = quad->nbPts[1];
 565
 566                 while(itf->more())
 567                 {
 568                         const SMDS_MeshNode * node = itf->next();
 569                         findIJ( node, quad, i1, j1 );
 570                         int ij1 = j1 * nbdown + i1;
 571                         quad->uv_grid[ij1].node = node;
 572                 }
 573
 574                 for (int i1 = 0; i1 < nbdown; i1++)
 575                         for (int j1 = 0; j1 < nbright; j1++)
 576                         {
 577                                 int ij1 = j1 * nbdown + i1;
 578                                 int i = cz1.ia * i1 + cz1.ib * j1 + cz1.ic;     // i = x/face
 579                                 int j = cz1.ja * i1 + cz1.jb * j1 + cz1.jc;     // j = y/face
 580                                 int ijk = k * nbx * nby + j * nbx + i;
 581                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 582                                 np[ijk].node = quad->uv_grid[ij1].node;
 583                                 //SCRUTE(np[ijk].nodeId);
 584                         }
 585         }
 586
 587         // 2.0 - for each node of the cube:
 588         //       - get the 8 points 3D = 8 vertices of the cube
 589         //       - get the 12 points 3D on the 12 edges of the cube
 590         //       - get the 6 points 3D on the 6 faces with their ID
 591         //       - compute the point 3D
 592         //       - store the point 3D in SMESHDS, store its ID in 3D structure
 593
 594         TopoDS_Shell aShell;
 595         TopExp_Explorer exp(aShape, TopAbs_SHELL);
 596         if (exp.More())
 597         {
 598                 aShell = TopoDS::Shell(exp.Current());
 599         }
 600         else
 601         {
 602                 MESSAGE("no shell...");
 603                 ASSERT(0);
 604         }
 605
 606         Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
 607         Pt3 px00, px01, px10, px11;
 608         Pt3 p0y0, p0y1, p1y0, p1y1;
 609         Pt3 p00z, p01z, p10z, p11z;
 610         Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
 611
 612         GetPoint(p000, 0, 0, 0, nbx, nby, nbz, np, meshDS);
 613         GetPoint(p001, 0, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 614         GetPoint(p010, 0, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 615         GetPoint(p011, 0, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 616         GetPoint(p100, nbx - 1, 0, 0, nbx, nby, nbz, np, meshDS);
 617         GetPoint(p101, nbx - 1, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 618         GetPoint(p110, nbx - 1, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 619         GetPoint(p111, nbx - 1, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 620
 621         for (int i = 1; i < nbx - 1; i++)
 622         {
 623                 for (int j = 1; j < nby - 1; j++)
 624                 {
 625                         for (int k = 1; k < nbz - 1; k++)
 626                         {
 627                                 // *** seulement maillage regulier
 628                                 // 12 points on edges
 629                                 GetPoint(px00, i, 0, 0, nbx, nby, nbz, np, meshDS);
 630                                 GetPoint(px01, i, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 631                                 GetPoint(px10, i, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 632                                 GetPoint(px11, i, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 633
 634                                 GetPoint(p0y0, 0, j, 0, nbx, nby, nbz, np, meshDS);
 635                                 GetPoint(p0y1, 0, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 636                                 GetPoint(p1y0, nbx - 1, j, 0, nbx, nby, nbz, np, meshDS);
 637                                 GetPoint(p1y1, nbx - 1, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 638
 639                                 GetPoint(p00z, 0, 0, k, nbx, nby, nbz, np, meshDS);
 640                                 GetPoint(p01z, 0, nby - 1, k, nbx, nby, nbz, np, meshDS);
 641                                 GetPoint(p10z, nbx - 1, 0, k, nbx, nby, nbz, np, meshDS);
 642                                 GetPoint(p11z, nbx - 1, nby - 1, k, nbx, nby, nbz, np, meshDS);
 643
 644                                 // 12 points on faces
 645                                 GetPoint(pxy0, i, j, 0, nbx, nby, nbz, np, meshDS);
 646                                 GetPoint(pxy1, i, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 647                                 GetPoint(px0z, i, 0, k, nbx, nby, nbz, np, meshDS);
 648                                 GetPoint(px1z, i, nby - 1, k, nbx, nby, nbz, np, meshDS);
 649                                 GetPoint(p0yz, 0, j, k, nbx, nby, nbz, np, meshDS);
 650                                 GetPoint(p1yz, nbx - 1, j, k, nbx, nby, nbz, np, meshDS);
 651
 652                                 int ijk = k * nbx * nby + j * nbx + i;
 653                                 double x = double (i) / double (nbx - 1);       // *** seulement
 654                                 double y = double (j) / double (nby - 1);       // *** maillage
 655                                 double z = double (k) / double (nbz - 1);       // *** regulier
 656
 657                                 Pt3 X;
 658                                 for (int i = 0; i < 3; i++)
 659                                 {
 660                                         X[i] =
 661                                                 (1 - x) * p0yz[i] + x * p1yz[i]
 662                                                 + (1 - y) * px0z[i] + y * px1z[i]
 663                                                 + (1 - z) * pxy0[i] + z * pxy1[i]
 664                                                 - (1 - x) * ((1 - y) * p00z[i] + y * p01z[i])
 665                                                 - x * ((1 - y) * p10z[i] + y * p11z[i])
 666                                                 - (1 - y) * ((1 - z) * px00[i] + z * px01[i])
 667                                                 - y * ((1 - z) * px10[i] + z * px11[i])
 668                                                 - (1 - z) * ((1 - x) * p0y0[i] + x * p1y0[i])
 669                                                 - z * ((1 - x) * p0y1[i] + x * p1y1[i])
 670                                                 + (1 - x) * ((1 - y) * ((1 - z) * p000[i] + z * p001[i])
 671                                                 + y * ((1 - z) * p010[i] + z * p011[i]))
 672                                                 + x * ((1 - y) * ((1 - z) * p100[i] + z * p101[i])
 673                                                 + y * ((1 - z) * p110[i] + z * p111[i]));
 674                                 }
 675
 676                                 SMDS_MeshNode * node = meshDS->AddNode(X[0], X[1], X[2]);
 677                                 np[ijk].node = node;
 678                                 //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
 679                                 meshDS->SetNodeInVolume(node, aShell);
 680                         }
 681                 }
 682         }
 683
 684         //2.1 - for each node of the cube (less 3 *1 Faces):
 685         //      - store hexahedron in SMESHDS
 686         MESSAGE("Storing hexahedron into the DS");
 687         for (int i = 0; i < nbx - 1; i++)
 688                 for (int j = 0; j < nby - 1; j++)
 689                         for (int k = 0; k < nbz - 1; k++)
 690                         {
 691                                 int n1 = k * nbx * nby + j * nbx + i;
 692                                 int n2 = k * nbx * nby + j * nbx + i + 1;
 693                                 int n3 = k * nbx * nby + (j + 1) * nbx + i + 1;
 694                                 int n4 = k * nbx * nby + (j + 1) * nbx + i;
 695                                 int n5 = (k + 1) * nbx * nby + j * nbx + i;
 696                                 int n6 = (k + 1) * nbx * nby + j * nbx + i + 1;
 697                                 int n7 = (k + 1) * nbx * nby + (j + 1) * nbx + i + 1;
 698                                 int n8 = (k + 1) * nbx * nby + (j + 1) * nbx + i;
 699
 700 //    MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
 701                                 //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);
 702
 703                                 SMDS_MeshVolume * elt = meshDS->AddVolume(np[n1].node,
 704                                         np[n2].node,
 705                                         np[n3].node,
 706                                         np[n4].node,
 707                                         np[n5].node,
 708                                         np[n6].node,
 709                                         np[n7].node,
 710                                         np[n8].node);
 711                                  ;
 712                                 meshDS->SetMeshElementOnShape(elt, aShell);
 713
 714                                 // *** 5 tetrahedres ... verifier orientations,
 715                                 //     mettre en coherence &vec quadrangles-> triangles
 716                                 //     choisir afficher 1 parmi edges, face et volumes
 717 //    int tetra1 = meshDS->AddVolume(np[n1].nodeId,
 718 //                   np[n2].nodeId,
 719 //                   np[n4].nodeId,
 720 //                   np[n5].nodeId);
 721 //    int tetra2 = meshDS->AddVolume(np[n2].nodeId,
 722 //                   np[n3].nodeId,
 723 //                   np[n4].nodeId,
 724 //                   np[n7].nodeId);
 725 //    int tetra3 = meshDS->AddVolume(np[n5].nodeId,
 726 //                   np[n6].nodeId,
 727 //                   np[n7].nodeId,
 728 //                   np[n2].nodeId);
 729 //    int tetra4 = meshDS->AddVolume(np[n5].nodeId,
 730 //                   np[n7].nodeId,
 731 //                   np[n8].nodeId,
 732 //                   np[n4].nodeId);
 733 //    int tetra5 = meshDS->AddVolume(np[n5].nodeId,
 734 //                   np[n7].nodeId,
 735 //                   np[n2].nodeId,
 736 //                   np[n4].nodeId);
 737
 738                         }
 739
 740         //MESSAGE("End of StdMeshers_Hexa_3D::Compute()");
 741         return true;
 742 }
 743
 744 //=============================================================================
 745 /*!
 746  *
 747  */
 748 //=============================================================================
 749
 750 void StdMeshers_Hexa_3D::GetPoint(Pt3 p, int i, int j, int k, int nbx, int nby,
 751         int nbz, Point3DStruct * np, const SMESHDS_Mesh * meshDS)
 752 {
 753         int ijk = k * nbx * nby + j * nbx + i;
 754         const SMDS_MeshNode * node = np[ijk].node;
 755         p[0] = node->X();
 756         p[1] = node->Y();
 757         p[2] = node->Z();
 758         //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
 759 }
 760
 761 //=============================================================================
 762 /*!
 763  *
 764  */
 765 //=============================================================================
 766
 767 int StdMeshers_Hexa_3D::GetFaceIndex(SMESH_Mesh & aMesh,
 768         const TopoDS_Shape & aShape,
 769         const vector < SMESH_subMesh * >&meshFaces,
 770         const TopoDS_Vertex & V0,
 771         const TopoDS_Vertex & V1,
 772         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3)
 773 {
 774         //MESSAGE("StdMeshers_Hexa_3D::GetFaceIndex");
 775         int faceIndex = -1;
 776         for (int i = 1; i < 6; i++)
 777         {
 778                 const TopoDS_Shape & aFace = meshFaces[i]->GetSubShape();
 779                 //const TopoDS_Face& F = TopoDS::Face(aFace);
 780                 TopTools_IndexedMapOfShape M;
 781                 TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
 782                 bool verticesInShape = false;
 783                 if (M.Contains(V0))
 784                         if (M.Contains(V1))
 785                                 if (M.Contains(V2))
 786                                         if (M.Contains(V3))
 787                                                 verticesInShape = true;
 788                 if (verticesInShape)
 789                 {
 790                         faceIndex = i;
 791                         break;
 792                 }
 793         }
 794         ASSERT(faceIndex > 0);
 795         //SCRUTE(faceIndex);
 796         return faceIndex;
 797 }
 798
 799 //=============================================================================
 800 /*!
 801  *
 802  */
 803 //=============================================================================
 804
 805 TopoDS_Edge
 806         StdMeshers_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
 807         const TopoDS_Shape & aShape,
 808         const TopoDS_Face & aFace,
 809         const TopoDS_Vertex & aVertex,
 810         const TopTools_IndexedDataMapOfShapeListOfShape & MS)
 811 {
 812         //MESSAGE("StdMeshers_Hexa_3D::EdgeNotInFace");
 813         TopTools_IndexedDataMapOfShapeListOfShape MF;
 814         TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
 815         const TopTools_ListOfShape & ancestorsInSolid = MS.FindFromKey(aVertex);
 816         const TopTools_ListOfShape & ancestorsInFace = MF.FindFromKey(aVertex);
 817 //      SCRUTE(ancestorsInSolid.Extent());
 818 //      SCRUTE(ancestorsInFace.Extent());
 819         ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
 820         ASSERT(ancestorsInFace.Extent() == 2);
 821
 822         TopoDS_Edge E;
 823         E.Nullify();
 824         TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
 825         for (; its.More(); its.Next())
 826         {
 827                 TopoDS_Shape ancestor = its.Value();
 828                 TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
 829                 bool isInFace = false;
 830                 for (; itf.More(); itf.Next())
 831                 {
 832                         TopoDS_Shape ancestorInFace = itf.Value();
 833                         if (ancestorInFace.IsSame(ancestor))
 834                         {
 835                                 isInFace = true;
 836                                 break;
 837                         }
 838                 }
 839                 if (!isInFace)
 840                 {
 841                         E = TopoDS::Edge(ancestor);
 842                         break;
 843                 }
 844         }
 845         return E;
 846 }
 847
 848 //=============================================================================
 849 /*!
 850  *
 851  */
 852 //=============================================================================
 853
 854 void StdMeshers_Hexa_3D::GetConv2DCoefs(const faceQuadStruct & quad,
 855         const TopoDS_Shape & aShape,
 856         const TopoDS_Vertex & V0,
 857         const TopoDS_Vertex & V1,
 858         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3, Conv2DStruct & conv)
 859 {
 860 //      MESSAGE("StdMeshers_Hexa_3D::GetConv2DCoefs");
 861         const TopoDS_Face & F = TopoDS::Face(aShape);
 862         TopoDS_Edge E = quad.edge[0];
 863         double f, l;
 864         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 865         TopoDS_Vertex VFirst, VLast;
 866         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 867         bool isForward = (((l - f) * (quad.last[0] - quad.first[0])) > 0);
 868         TopoDS_Vertex VA, VB;
 869         if (isForward)
 870         {
 871                 VA = VFirst;
 872                 VB = VLast;
 873         }
 874         else
 875         {
 876                 VA = VLast;
 877                 VB = VFirst;
 878         }
 879         int a1, b1, c1, a2, b2, c2;
 880         if (VA.IsSame(V0))
 881                 if (VB.IsSame(V1))
 882                 {
 883                         a1 = 1;
 884                         b1 = 0;
 885                         c1 = 0;                         // x
 886                         a2 = 0;
 887                         b2 = 1;
 888                         c2 = 0;                         // y
 889                 }
 890                 else
 891                 {
 892                         ASSERT(VB.IsSame(V3));
 893                         a1 = 0;
 894                         b1 = 1;
 895                         c1 = 0;                         // y
 896                         a2 = 1;
 897                         b2 = 0;
 898                         c2 = 0;                         // x
 899                 }
 900         if (VA.IsSame(V1))
 901                 if (VB.IsSame(V2))
 902                 {
 903                         a1 = 0;
 904                         b1 = -1;
 905                         c1 = 1;                         // 1-y
 906                         a2 = 1;
 907                         b2 = 0;
 908                         c2 = 0;                         // x
 909                 }
 910                 else
 911                 {
 912                         ASSERT(VB.IsSame(V0));
 913                         a1 = -1;
 914                         b1 = 0;
 915                         c1 = 1;                         // 1-x
 916                         a2 = 0;
 917                         b2 = 1;
 918                         c2 = 0;                         // y
 919                 }
 920         if (VA.IsSame(V2))
 921                 if (VB.IsSame(V3))
 922                 {
 923                         a1 = -1;
 924                         b1 = 0;
 925                         c1 = 1;                         // 1-x
 926                         a2 = 0;
 927                         b2 = -1;
 928                         c2 = 1;                         // 1-y
 929                 }
 930                 else
 931                 {
 932                         ASSERT(VB.IsSame(V1));
 933                         a1 = 0;
 934                         b1 = -1;
 935                         c1 = 1;                         // 1-y
 936                         a2 = -1;
 937                         b2 = 0;
 938                         c2 = 1;                         // 1-x
 939                 }
 940         if (VA.IsSame(V3))
 941                 if (VB.IsSame(V0))
 942                 {
 943                         a1 = 0;
 944                         b1 = 1;
 945                         c1 = 0;                         // y
 946                         a2 = -1;
 947                         b2 = 0;
 948                         c2 = 1;                         // 1-x
 949                 }
 950                 else
 951                 {
 952                         ASSERT(VB.IsSame(V2));
 953                         a1 = 1;
 954                         b1 = 0;
 955                         c1 = 0;                         // x
 956                         a2 = 0;
 957                         b2 = -1;
 958                         c2 = 1;                         // 1-y
 959                 }
 960 //      MESSAGE("X = " << c1 << "+ " << a1 << "*x + " << b1 << "*y");
 961 //      MESSAGE("Y = " << c2 << "+ " << a2 << "*x + " << b2 << "*y");
 962         conv.a1 = a1;
 963         conv.b1 = b1;
 964         conv.c1 = c1;
 965         conv.a2 = a2;
 966         conv.b2 = b2;
 967         conv.c2 = c2;
 968
 969         int nbdown = quad.nbPts[0];
 970         int nbright = quad.nbPts[1];
 971         conv.ia = int (a1);
 972         conv.ib = int (b1);
 973         conv.ic =
 974                 int (c1 * a1 * a1) * (nbdown - 1) + int (c1 * b1 * b1) * (nbright - 1);
 975         conv.ja = int (a2);
 976         conv.jb = int (b2);
 977         conv.jc =
 978                 int (c2 * a2 * a2) * (nbdown - 1) + int (c2 * b2 * b2) * (nbright - 1);
 979 //      MESSAGE("I " << conv.ia << " " << conv.ib << " " << conv.ic);
 980 //      MESSAGE("J " << conv.ja << " " << conv.jb << " " << conv.jc);
 981 }
 982
 983 //=============================================================================
 984 /*!
 985  *
 986  */
 987 //=============================================================================
 988
 989 ostream & StdMeshers_Hexa_3D::SaveTo(ostream & save)
 990 {
 991   return save;
 992 }
 993
 994 //=============================================================================
 995 /*!
 996  *
 997  */
 998 //=============================================================================
 999
1000 istream & StdMeshers_Hexa_3D::LoadFrom(istream & load)
1001 {
1002   return load;
1003 }
1004
1005 //=============================================================================
1006 /*!
1007  *
1008  */
1009 //=============================================================================
1010
1011 ostream & operator <<(ostream & save, StdMeshers_Hexa_3D & hyp)
1012 {
1013   return hyp.SaveTo( save );
1014 }
1015
1016 //=============================================================================
1017 /*!
1018  *
1019  */
1020 //=============================================================================
1021
1022 istream & operator >>(istream & load, StdMeshers_Hexa_3D & hyp)
1023 {
1024   return hyp.LoadFrom( load );
1025 }