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         int nbxyz = nbx * nby * nbz;
 338         Point3DStruct *np = new Point3DStruct[nbxyz];
 339
 340         // 1.9 - store node indexes of faces
 341
 342         {
 343                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX0]->GetSubShape());
 344
 345                 faceQuadStruct *quad = _cube.quad_X0;
 346                 int i = 0;                              // j = x/face , k = y/face
 347                 int nbdown = quad->nbPts[0];
 348                 int nbright = quad->nbPts[1];
 349
 350
 351                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 352                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 353
 354                 while(itf->more())
 355                 {
 356                         const SMDS_MeshNode * node = itf->next();
 357                         const SMDS_FacePosition* fpos
 358                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 359                         double ri = fpos->GetUParameter();
 360                         double rj = fpos->GetVParameter();
 361                         int i1 = int (ri);
 362                         int j1 = int (rj);
 363                         int ij1 = j1 * nbdown + i1;
 364                         quad->uv_grid[ij1].node = node;
 365                 }
 366                 delete itf;
 367
 368                 for (int i1 = 0; i1 < nbdown; i1++)
 369                         for (int j1 = 0; j1 < nbright; j1++)
 370                         {
 371                                 int ij1 = j1 * nbdown + i1;
 372                                 int j = cx0.ia * i1 + cx0.ib * j1 + cx0.ic;     // j = x/face
 373                                 int k = cx0.ja * i1 + cx0.jb * j1 + cx0.jc;     // k = y/face
 374                                 int ijk = k * nbx * nby + j * nbx + i;
 375                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 376                                 np[ijk].node = quad->uv_grid[ij1].node;
 377                                 //SCRUTE(np[ijk].nodeId);
 378                         }
 379         }
 380
 381         {
 382                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indX1]->GetSubShape());
 383
 384                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 385                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 386
 387                 faceQuadStruct *quad = _cube.quad_X1;
 388                 int i = nbx - 1;                // j = x/face , k = y/face
 389                 int nbdown = quad->nbPts[0];
 390                 int nbright = quad->nbPts[1];
 391
 392                 while(itf->more())
 393                 {
 394                         const SMDS_MeshNode * node = itf->next();
 395                         const SMDS_FacePosition* fpos
 396                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 397                         double ri = fpos->GetUParameter();
 398                         double rj = fpos->GetVParameter();
 399                         int i1 = int (ri);
 400                         int j1 = int (rj);
 401                         int ij1 = j1 * nbdown + i1;
 402                         quad->uv_grid[ij1].node = node;
 403                 }
 404                 delete itf;
 405
 406                 for (int i1 = 0; i1 < nbdown; i1++)
 407                         for (int j1 = 0; j1 < nbright; j1++)
 408                         {
 409                                 int ij1 = j1 * nbdown + i1;
 410                                 int j = cx1.ia * i1 + cx1.ib * j1 + cx1.ic;     // j = x/face
 411                                 int k = cx1.ja * i1 + cx1.jb * j1 + cx1.jc;     // k = y/face
 412                                 int ijk = k * nbx * nby + j * nbx + i;
 413                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 414                                 np[ijk].node = quad->uv_grid[ij1].node;
 415                                 //SCRUTE(np[ijk].nodeId);
 416                         }
 417         }
 418
 419         {
 420                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY0]->GetSubShape());
 421
 422                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 423                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 424
 425                 faceQuadStruct *quad = _cube.quad_Y0;
 426                 int j = 0;                              // i = x/face , k = y/face
 427                 int nbdown = quad->nbPts[0];
 428                 int nbright = quad->nbPts[1];
 429
 430                 while(itf->more())
 431                 {
 432                         const SMDS_MeshNode * node = itf->next();
 433                         const SMDS_FacePosition * fpos
 434                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 435                         double ri = fpos->GetUParameter();
 436                         double rj = fpos->GetVParameter();
 437                         int i1 = int (ri);
 438                         int j1 = int (rj);
 439                         int ij1 = j1 * nbdown + i1;
 440                         quad->uv_grid[ij1].node = node;
 441                 }
 442                 delete itf;
 443
 444                 for (int i1 = 0; i1 < nbdown; i1++)
 445                         for (int j1 = 0; j1 < nbright; j1++)
 446                         {
 447                                 int ij1 = j1 * nbdown + i1;
 448                                 int i = cy0.ia * i1 + cy0.ib * j1 + cy0.ic;     // i = x/face
 449                                 int k = cy0.ja * i1 + cy0.jb * j1 + cy0.jc;     // k = y/face
 450                                 int ijk = k * nbx * nby + j * nbx + i;
 451                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 452                                 np[ijk].node = quad->uv_grid[ij1].node;
 453                                 //SCRUTE(np[ijk].nodeId);
 454                         }
 455         }
 456
 457         {
 458                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
 459
 460                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 461                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 462
 463                 faceQuadStruct *quad = _cube.quad_Y1;
 464                 int j = nby - 1;                // i = x/face , k = y/face
 465                 int nbdown = quad->nbPts[0];
 466                 int nbright = quad->nbPts[1];
 467
 468                 while(itf->more())
 469                 {
 470                         const SMDS_MeshNode * node = itf->next();
 471                         const SMDS_FacePosition* fpos =
 472                                 static_cast<const SMDS_FacePosition *>(node->GetPosition());
 473                         double ri = fpos->GetUParameter();
 474                         double rj = fpos->GetVParameter();
 475                         int i1 = int (ri);
 476                         int j1 = int (rj);
 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 = cy1.ia * i1 + cy1.ib * j1 + cy1.ic;     // i = x/face
 486                                 int k = cy1.ja * i1 + cy1.jb * j1 + cy1.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[_indZ0]->GetSubShape());
 496
 497                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 498                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 499
 500                 faceQuadStruct *quad = _cube.quad_Z0;
 501                 int k = 0;                              // i = x/face , j = y/face
 502                 int nbdown = quad->nbPts[0];
 503                 int nbright = quad->nbPts[1];
 504
 505                 while(itf->more())
 506                 {
 507                         const SMDS_MeshNode * node = itf->next();
 508                         const SMDS_FacePosition * fpos
 509                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 510                         double ri = fpos->GetUParameter();
 511                         double rj = fpos->GetVParameter();
 512                         int i1 = int (ri);
 513                         int j1 = int (rj);
 514                         int ij1 = j1 * nbdown + i1;
 515                         quad->uv_grid[ij1].node = node;
 516                 }
 517
 518                 for (int i1 = 0; i1 < nbdown; i1++)
 519                         for (int j1 = 0; j1 < nbright; j1++)
 520                         {
 521                                 int ij1 = j1 * nbdown + i1;
 522                                 int i = cz0.ia * i1 + cz0.ib * j1 + cz0.ic;     // i = x/face
 523                                 int j = cz0.ja * i1 + cz0.jb * j1 + cz0.jc;     // j = y/face
 524                                 int ijk = k * nbx * nby + j * nbx + i;
 525                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 526                                 np[ijk].node = quad->uv_grid[ij1].node;
 527                                 //SCRUTE(np[ijk].nodeId);
 528                         }
 529         }
 530
 531         {
 532                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
 533
 534                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 535                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 536
 537                 faceQuadStruct *quad = _cube.quad_Z1;
 538                 int k = nbz - 1;                // i = x/face , j = y/face
 539                 int nbdown = quad->nbPts[0];
 540                 int nbright = quad->nbPts[1];
 541
 542                 while(itf->more())
 543                 {
 544                         const SMDS_MeshNode * node = itf->next();
 545                         const SMDS_FacePosition* fpos
 546                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 547                         double ri = fpos->GetUParameter();
 548                         double rj = fpos->GetVParameter();
 549                         int i1 = int (ri);
 550                         int j1 = int (rj);
 551                         int ij1 = j1 * nbdown + i1;
 552                         quad->uv_grid[ij1].node = node;
 553                 }
 554
 555                 for (int i1 = 0; i1 < nbdown; i1++)
 556                         for (int j1 = 0; j1 < nbright; j1++)
 557                         {
 558                                 int ij1 = j1 * nbdown + i1;
 559                                 int i = cz1.ia * i1 + cz1.ib * j1 + cz1.ic;     // i = x/face
 560                                 int j = cz1.ja * i1 + cz1.jb * j1 + cz1.jc;     // j = y/face
 561                                 int ijk = k * nbx * nby + j * nbx + i;
 562                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 563                                 np[ijk].node = quad->uv_grid[ij1].node;
 564                                 //SCRUTE(np[ijk].nodeId);
 565                         }
 566         }
 567
 568         // 2.0 - for each node of the cube:
 569         //       - get the 8 points 3D = 8 vertices of the cube
 570         //       - get the 12 points 3D on the 12 edges of the cube
 571         //       - get the 6 points 3D on the 6 faces with their ID
 572         //       - compute the point 3D
 573         //       - store the point 3D in SMESHDS, store its ID in 3D structure
 574
 575         TopoDS_Shell aShell;
 576         TopExp_Explorer exp(aShape, TopAbs_SHELL);
 577         if (exp.More())
 578         {
 579                 aShell = TopoDS::Shell(exp.Current());
 580         }
 581         else
 582         {
 583                 MESSAGE("no shell...");
 584                 ASSERT(0);
 585         }
 586
 587         Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
 588         Pt3 px00, px01, px10, px11;
 589         Pt3 p0y0, p0y1, p1y0, p1y1;
 590         Pt3 p00z, p01z, p10z, p11z;
 591         Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
 592
 593         GetPoint(p000, 0, 0, 0, nbx, nby, nbz, np, meshDS);
 594         GetPoint(p001, 0, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 595         GetPoint(p010, 0, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 596         GetPoint(p011, 0, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 597         GetPoint(p100, nbx - 1, 0, 0, nbx, nby, nbz, np, meshDS);
 598         GetPoint(p101, nbx - 1, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 599         GetPoint(p110, nbx - 1, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 600         GetPoint(p111, nbx - 1, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 601
 602         for (int i = 1; i < nbx - 1; i++)
 603         {
 604                 for (int j = 1; j < nby - 1; j++)
 605                 {
 606                         for (int k = 1; k < nbz - 1; k++)
 607                         {
 608                                 // *** seulement maillage regulier
 609                                 // 12 points on edges
 610                                 GetPoint(px00, i, 0, 0, nbx, nby, nbz, np, meshDS);
 611                                 GetPoint(px01, i, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 612                                 GetPoint(px10, i, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 613                                 GetPoint(px11, i, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 614
 615                                 GetPoint(p0y0, 0, j, 0, nbx, nby, nbz, np, meshDS);
 616                                 GetPoint(p0y1, 0, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 617                                 GetPoint(p1y0, nbx - 1, j, 0, nbx, nby, nbz, np, meshDS);
 618                                 GetPoint(p1y1, nbx - 1, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 619
 620                                 GetPoint(p00z, 0, 0, k, nbx, nby, nbz, np, meshDS);
 621                                 GetPoint(p01z, 0, nby - 1, k, nbx, nby, nbz, np, meshDS);
 622                                 GetPoint(p10z, nbx - 1, 0, k, nbx, nby, nbz, np, meshDS);
 623                                 GetPoint(p11z, nbx - 1, nby - 1, k, nbx, nby, nbz, np, meshDS);
 624
 625                                 // 12 points on faces
 626                                 GetPoint(pxy0, i, j, 0, nbx, nby, nbz, np, meshDS);
 627                                 GetPoint(pxy1, i, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 628                                 GetPoint(px0z, i, 0, k, nbx, nby, nbz, np, meshDS);
 629                                 GetPoint(px1z, i, nby - 1, k, nbx, nby, nbz, np, meshDS);
 630                                 GetPoint(p0yz, 0, j, k, nbx, nby, nbz, np, meshDS);
 631                                 GetPoint(p1yz, nbx - 1, j, k, nbx, nby, nbz, np, meshDS);
 632
 633                                 int ijk = k * nbx * nby + j * nbx + i;
 634                                 double x = double (i) / double (nbx - 1);       // *** seulement
 635                                 double y = double (j) / double (nby - 1);       // *** maillage
 636                                 double z = double (k) / double (nbz - 1);       // *** regulier
 637
 638                                 Pt3 X;
 639                                 for (int i = 0; i < 3; i++)
 640                                 {
 641                                         X[i] =
 642                                                 (1 - x) * p0yz[i] + x * p1yz[i]
 643                                                 + (1 - y) * px0z[i] + y * px1z[i]
 644                                                 + (1 - z) * pxy0[i] + z * pxy1[i]
 645                                                 - (1 - x) * ((1 - y) * p00z[i] + y * p01z[i])
 646                                                 - x * ((1 - y) * p10z[i] + y * p11z[i])
 647                                                 - (1 - y) * ((1 - z) * px00[i] + z * px01[i])
 648                                                 - y * ((1 - z) * px10[i] + z * px11[i])
 649                                                 - (1 - z) * ((1 - x) * p0y0[i] + x * p1y0[i])
 650                                                 - z * ((1 - x) * p0y1[i] + x * p1y1[i])
 651                                                 + (1 - x) * ((1 - y) * ((1 - z) * p000[i] + z * p001[i])
 652                                                 + y * ((1 - z) * p010[i] + z * p011[i]))
 653                                                 + x * ((1 - y) * ((1 - z) * p100[i] + z * p101[i])
 654                                                 + y * ((1 - z) * p110[i] + z * p111[i]));
 655                                 }
 656
 657                                 SMDS_MeshNode * node = meshDS->AddNode(X[0], X[1], X[2]);
 658                                 np[ijk].node = node;
 659                                 //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
 660                                 meshDS->SetNodeInVolume(node, aShell);
 661                         }
 662                 }
 663         }
 664
 665         //2.1 - for each node of the cube (less 3 *1 Faces):
 666         //      - store hexahedron in SMESHDS
 667         MESSAGE("Storing hexahedron into the DS");
 668         for (int i = 0; i < nbx - 1; i++)
 669                 for (int j = 0; j < nby - 1; j++)
 670                         for (int k = 0; k < nbz - 1; k++)
 671                         {
 672                                 int n1 = k * nbx * nby + j * nbx + i;
 673                                 int n2 = k * nbx * nby + j * nbx + i + 1;
 674                                 int n3 = k * nbx * nby + (j + 1) * nbx + i + 1;
 675                                 int n4 = k * nbx * nby + (j + 1) * nbx + i;
 676                                 int n5 = (k + 1) * nbx * nby + j * nbx + i;
 677                                 int n6 = (k + 1) * nbx * nby + j * nbx + i + 1;
 678                                 int n7 = (k + 1) * nbx * nby + (j + 1) * nbx + i + 1;
 679                                 int n8 = (k + 1) * nbx * nby + (j + 1) * nbx + i;
 680
 681 //    MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
 682                                 //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);
 683
 684                                 SMDS_MeshVolume * elt = meshDS->AddVolume(np[n1].node,
 685                                         np[n2].node,
 686                                         np[n3].node,
 687                                         np[n4].node,
 688                                         np[n5].node,
 689                                         np[n6].node,
 690                                         np[n7].node,
 691                                         np[n8].node);
 692                                  ;
 693                                 meshDS->SetMeshElementOnShape(elt, aShell);
 694
 695                                 // *** 5 tetrahedres ... verifier orientations,
 696                                 //     mettre en coherence &vec quadrangles-> triangles
 697                                 //     choisir afficher 1 parmi edges, face et volumes
 698 //    int tetra1 = meshDS->AddVolume(np[n1].nodeId,
 699 //                   np[n2].nodeId,
 700 //                   np[n4].nodeId,
 701 //                   np[n5].nodeId);
 702 //    int tetra2 = meshDS->AddVolume(np[n2].nodeId,
 703 //                   np[n3].nodeId,
 704 //                   np[n4].nodeId,
 705 //                   np[n7].nodeId);
 706 //    int tetra3 = meshDS->AddVolume(np[n5].nodeId,
 707 //                   np[n6].nodeId,
 708 //                   np[n7].nodeId,
 709 //                   np[n2].nodeId);
 710 //    int tetra4 = meshDS->AddVolume(np[n5].nodeId,
 711 //                   np[n7].nodeId,
 712 //                   np[n8].nodeId,
 713 //                   np[n4].nodeId);
 714 //    int tetra5 = meshDS->AddVolume(np[n5].nodeId,
 715 //                   np[n7].nodeId,
 716 //                   np[n2].nodeId,
 717 //                   np[n4].nodeId);
 718
 719                         }
 720
 721         MESSAGE("End of SMESH_Hexa_3D::Compute()");
 722         return true;
 723 }
 724
 725 //=============================================================================
 726 /*!
 727  *
 728  */
 729 //=============================================================================
 730
 731 void SMESH_Hexa_3D::GetPoint(Pt3 p, int i, int j, int k, int nbx, int nby,
 732         int nbz, Point3DStruct * np, const SMESHDS_Mesh * meshDS)
 733 {
 734         int ijk = k * nbx * nby + j * nbx + i;
 735         const SMDS_MeshNode * node = np[ijk].node;
 736         p[0] = node->X();
 737         p[1] = node->Y();
 738         p[2] = node->Z();
 739         //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
 740 }
 741
 742 //=============================================================================
 743 /*!
 744  *
 745  */
 746 //=============================================================================
 747
 748 int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh & aMesh,
 749         const TopoDS_Shape & aShape,
 750         const vector < SMESH_subMesh * >&meshFaces,
 751         const TopoDS_Vertex & V0,
 752         const TopoDS_Vertex & V1,
 753         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3)
 754 {
 755         MESSAGE("SMESH_Hexa_3D::GetFaceIndex");
 756         int faceIndex = -1;
 757         for (int i = 1; i < 6; i++)
 758         {
 759                 const TopoDS_Shape & aFace = meshFaces[i]->GetSubShape();
 760                 //const TopoDS_Face& F = TopoDS::Face(aFace);
 761                 TopTools_IndexedMapOfShape M;
 762                 TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
 763                 bool verticesInShape = false;
 764                 if (M.Contains(V0))
 765                         if (M.Contains(V1))
 766                                 if (M.Contains(V2))
 767                                         if (M.Contains(V3))
 768                                                 verticesInShape = true;
 769                 if (verticesInShape)
 770                 {
 771                         faceIndex = i;
 772                         break;
 773                 }
 774         }
 775         ASSERT(faceIndex > 0);
 776         SCRUTE(faceIndex);
 777         return faceIndex;
 778 }
 779
 780 //=============================================================================
 781 /*!
 782  *
 783  */
 784 //=============================================================================
 785
 786 TopoDS_Edge
 787         SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
 788         const TopoDS_Shape & aShape,
 789         const TopoDS_Face & aFace,
 790         const TopoDS_Vertex & aVertex,
 791         const TopTools_IndexedDataMapOfShapeListOfShape & MS)
 792 {
 793         MESSAGE("SMESH_Hexa_3D::EdgeNotInFace");
 794         TopTools_IndexedDataMapOfShapeListOfShape MF;
 795         TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
 796         const TopTools_ListOfShape & ancestorsInSolid = MS.FindFromKey(aVertex);
 797         const TopTools_ListOfShape & ancestorsInFace = MF.FindFromKey(aVertex);
 798         SCRUTE(ancestorsInSolid.Extent());
 799         SCRUTE(ancestorsInFace.Extent());
 800         ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
 801         ASSERT(ancestorsInFace.Extent() == 2);
 802
 803         TopoDS_Edge E;
 804         E.Nullify();
 805         TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
 806         for (; its.More(); its.Next())
 807         {
 808                 TopoDS_Shape ancestor = its.Value();
 809                 TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
 810                 bool isInFace = false;
 811                 for (; itf.More(); itf.Next())
 812                 {
 813                         TopoDS_Shape ancestorInFace = itf.Value();
 814                         if (ancestorInFace.IsSame(ancestor))
 815                         {
 816                                 isInFace = true;
 817                                 break;
 818                         }
 819                 }
 820                 if (!isInFace)
 821                 {
 822                         E = TopoDS::Edge(ancestor);
 823                         break;
 824                 }
 825         }
 826         return E;
 827 }
 828
 829 //=============================================================================
 830 /*!
 831  *
 832  */
 833 //=============================================================================
 834
 835 void SMESH_Hexa_3D::GetConv2DCoefs(const faceQuadStruct & quad,
 836         const TopoDS_Shape & aShape,
 837         const TopoDS_Vertex & V0,
 838         const TopoDS_Vertex & V1,
 839         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3, Conv2DStruct & conv)
 840 {
 841         MESSAGE("SMESH_Hexa_3D::GetConv2DCoefs");
 842         const TopoDS_Face & F = TopoDS::Face(aShape);
 843         TopoDS_Edge E = quad.edge[0];
 844         double f, l;
 845         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 846         TopoDS_Vertex VFirst, VLast;
 847         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 848         bool isForward = (((l - f) * (quad.last[0] - quad.first[0])) > 0);
 849         TopoDS_Vertex VA, VB;
 850         if (isForward)
 851         {
 852                 VA = VFirst;
 853                 VB = VLast;
 854         }
 855         else
 856         {
 857                 VA = VLast;
 858                 VB = VFirst;
 859         }
 860         int a1, b1, c1, a2, b2, c2;
 861         if (VA.IsSame(V0))
 862                 if (VB.IsSame(V1))
 863                 {
 864                         a1 = 1;
 865                         b1 = 0;
 866                         c1 = 0;                         // x
 867                         a2 = 0;
 868                         b2 = 1;
 869                         c2 = 0;                         // y
 870                 }
 871                 else
 872                 {
 873                         ASSERT(VB.IsSame(V3));
 874                         a1 = 0;
 875                         b1 = 1;
 876                         c1 = 0;                         // y
 877                         a2 = 1;
 878                         b2 = 0;
 879                         c2 = 0;                         // x
 880                 }
 881         if (VA.IsSame(V1))
 882                 if (VB.IsSame(V2))
 883                 {
 884                         a1 = 0;
 885                         b1 = -1;
 886                         c1 = 1;                         // 1-y
 887                         a2 = 1;
 888                         b2 = 0;
 889                         c2 = 0;                         // x
 890                 }
 891                 else
 892                 {
 893                         ASSERT(VB.IsSame(V0));
 894                         a1 = -1;
 895                         b1 = 0;
 896                         c1 = 1;                         // 1-x
 897                         a2 = 0;
 898                         b2 = 1;
 899                         c2 = 0;                         // y
 900                 }
 901         if (VA.IsSame(V2))
 902                 if (VB.IsSame(V3))
 903                 {
 904                         a1 = -1;
 905                         b1 = 0;
 906                         c1 = 1;                         // 1-x
 907                         a2 = 0;
 908                         b2 = -1;
 909                         c2 = 1;                         // 1-y
 910                 }
 911                 else
 912                 {
 913                         ASSERT(VB.IsSame(V1));
 914                         a1 = 0;
 915                         b1 = -1;
 916                         c1 = 1;                         // 1-y
 917                         a2 = -1;
 918                         b2 = 0;
 919                         c2 = 1;                         // 1-x
 920                 }
 921         if (VA.IsSame(V3))
 922                 if (VB.IsSame(V0))
 923                 {
 924                         a1 = 0;
 925                         b1 = 1;
 926                         c1 = 0;                         // y
 927                         a2 = -1;
 928                         b2 = 0;
 929                         c2 = 1;                         // 1-x
 930                 }
 931                 else
 932                 {
 933                         ASSERT(VB.IsSame(V2));
 934                         a1 = 1;
 935                         b1 = 0;
 936                         c1 = 0;                         // x
 937                         a2 = 0;
 938                         b2 = -1;
 939                         c2 = 1;                         // 1-y
 940                 }
 941         MESSAGE("X = " << c1 << "+ " << a1 << "*x + " << b1 << "*y");
 942         MESSAGE("Y = " << c2 << "+ " << a2 << "*x + " << b2 << "*y");
 943         conv.a1 = a1;
 944         conv.b1 = b1;
 945         conv.c1 = c1;
 946         conv.a2 = a2;
 947         conv.b2 = b2;
 948         conv.c2 = c2;
 949
 950         int nbdown = quad.nbPts[0];
 951         int nbright = quad.nbPts[1];
 952         conv.ia = int (a1);
 953         conv.ib = int (b1);
 954         conv.ic =
 955                 int (c1 * a1 * a1) * (nbdown - 1) + int (c1 * b1 * b1) * (nbright - 1);
 956         conv.ja = int (a2);
 957         conv.jb = int (b2);
 958         conv.jc =
 959                 int (c2 * a2 * a2) * (nbdown - 1) + int (c2 * b2 * b2) * (nbright - 1);
 960         MESSAGE("I " << conv.ia << " " << conv.ib << " " << conv.ic);
 961         MESSAGE("J " << conv.ja << " " << conv.jb << " " << conv.jc);
 962 }
 963
 964 //=============================================================================
 965 /*!
 966  *
 967  */
 968 //=============================================================================
 969
 970 ostream & SMESH_Hexa_3D::SaveTo(ostream & save)
 971 {
 972         return save << this;
 973 }
 974
 975 //=============================================================================
 976 /*!
 977  *
 978  */
 979 //=============================================================================
 980
 981 istream & SMESH_Hexa_3D::LoadFrom(istream & load)
 982 {
 983         return load >> (*this);
 984 }
 985
 986 //=============================================================================
 987 /*!
 988  *
 989  */
 990 //=============================================================================
 991
 992 ostream & operator <<(ostream & save, SMESH_Hexa_3D & hyp)
 993 {
 994         return save;
 995 }
 996
 997 //=============================================================================
 998 /*!
 999  *
1000  */
1001 //=============================================================================
1002
1003 istream & operator >>(istream & load, SMESH_Hexa_3D & hyp)
1004 {
1005         return load;
1006 }