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
 443                 for (int i1 = 0; i1 < nbdown; i1++)
 444                         for (int j1 = 0; j1 < nbright; j1++)
 445                         {
 446                                 int ij1 = j1 * nbdown + i1;
 447                                 int i = cy0.ia * i1 + cy0.ib * j1 + cy0.ic;     // i = x/face
 448                                 int k = cy0.ja * i1 + cy0.jb * j1 + cy0.jc;     // k = y/face
 449                                 int ijk = k * nbx * nby + j * nbx + i;
 450                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 451                                 np[ijk].node = quad->uv_grid[ij1].node;
 452                                 //SCRUTE(np[ijk].nodeId);
 453                         }
 454         }
 455
 456         {
 457                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indY1]->GetSubShape());
 458
 459                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 460                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 461
 462                 faceQuadStruct *quad = _cube.quad_Y1;
 463                 int j = nby - 1;                // i = x/face , k = y/face
 464                 int nbdown = quad->nbPts[0];
 465                 int nbright = quad->nbPts[1];
 466
 467                 while(itf->more())
 468                 {
 469                         const SMDS_MeshNode * node = itf->next();
 470                         const SMDS_FacePosition* fpos =
 471                                 static_cast<const SMDS_FacePosition *>(node->GetPosition());
 472                         double ri = fpos->GetUParameter();
 473                         double rj = fpos->GetVParameter();
 474                         int i1 = int (ri);
 475                         int j1 = int (rj);
 476                         int ij1 = j1 * nbdown + i1;
 477                         quad->uv_grid[ij1].node = node;
 478                 }
 479
 480                 for (int i1 = 0; i1 < nbdown; i1++)
 481                         for (int j1 = 0; j1 < nbright; j1++)
 482                         {
 483                                 int ij1 = j1 * nbdown + i1;
 484                                 int i = cy1.ia * i1 + cy1.ib * j1 + cy1.ic;     // i = x/face
 485                                 int k = cy1.ja * i1 + cy1.jb * j1 + cy1.jc;     // k = y/face
 486                                 int ijk = k * nbx * nby + j * nbx + i;
 487                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 488                                 np[ijk].node = quad->uv_grid[ij1].node;
 489                                 //SCRUTE(np[ijk].nodeId);
 490                         }
 491         }
 492
 493         {
 494                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ0]->GetSubShape());
 495
 496                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 497                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 498
 499                 faceQuadStruct *quad = _cube.quad_Z0;
 500                 int k = 0;                              // i = x/face , j = 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                         const SMDS_FacePosition * fpos
 508                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 509                         double ri = fpos->GetUParameter();
 510                         double rj = fpos->GetVParameter();
 511                         int i1 = int (ri);
 512                         int j1 = int (rj);
 513                         int ij1 = j1 * nbdown + i1;
 514                         quad->uv_grid[ij1].node = node;
 515                 }
 516
 517                 for (int i1 = 0; i1 < nbdown; i1++)
 518                         for (int j1 = 0; j1 < nbright; j1++)
 519                         {
 520                                 int ij1 = j1 * nbdown + i1;
 521                                 int i = cz0.ia * i1 + cz0.ib * j1 + cz0.ic;     // i = x/face
 522                                 int j = cz0.ja * i1 + cz0.jb * j1 + cz0.jc;     // j = y/face
 523                                 int ijk = k * nbx * nby + j * nbx + i;
 524                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 525                                 np[ijk].node = quad->uv_grid[ij1].node;
 526                                 //SCRUTE(np[ijk].nodeId);
 527                         }
 528         }
 529
 530         {
 531                 const TopoDS_Face & F = TopoDS::Face(meshFaces[_indZ1]->GetSubShape());
 532
 533                 SMDS_Iterator<const SMDS_MeshNode *> * itf=
 534                         aMesh.GetSubMesh(F)->GetSubMeshDS()->GetNodes();
 535
 536                 faceQuadStruct *quad = _cube.quad_Z1;
 537                 int k = nbz - 1;                // i = x/face , j = y/face
 538                 int nbdown = quad->nbPts[0];
 539                 int nbright = quad->nbPts[1];
 540
 541                 while(itf->more())
 542                 {
 543                         const SMDS_MeshNode * node = itf->next();
 544                         const SMDS_FacePosition* fpos
 545                                 = static_cast<const SMDS_FacePosition*>(node->GetPosition());
 546                         double ri = fpos->GetUParameter();
 547                         double rj = fpos->GetVParameter();
 548                         int i1 = int (ri);
 549                         int j1 = int (rj);
 550                         int ij1 = j1 * nbdown + i1;
 551                         quad->uv_grid[ij1].node = node;
 552                 }
 553
 554                 for (int i1 = 0; i1 < nbdown; i1++)
 555                         for (int j1 = 0; j1 < nbright; j1++)
 556                         {
 557                                 int ij1 = j1 * nbdown + i1;
 558                                 int i = cz1.ia * i1 + cz1.ib * j1 + cz1.ic;     // i = x/face
 559                                 int j = cz1.ja * i1 + cz1.jb * j1 + cz1.jc;     // j = y/face
 560                                 int ijk = k * nbx * nby + j * nbx + i;
 561                                 //MESSAGE(" "<<ij1<<" "<<i<<" "<<j<<" "<<ijk);
 562                                 np[ijk].node = quad->uv_grid[ij1].node;
 563                                 //SCRUTE(np[ijk].nodeId);
 564                         }
 565         }
 566
 567         // 2.0 - for each node of the cube:
 568         //       - get the 8 points 3D = 8 vertices of the cube
 569         //       - get the 12 points 3D on the 12 edges of the cube
 570         //       - get the 6 points 3D on the 6 faces with their ID
 571         //       - compute the point 3D
 572         //       - store the point 3D in SMESHDS, store its ID in 3D structure
 573
 574         TopoDS_Shell aShell;
 575         TopExp_Explorer exp(aShape, TopAbs_SHELL);
 576         if (exp.More())
 577         {
 578                 aShell = TopoDS::Shell(exp.Current());
 579         }
 580         else
 581         {
 582                 MESSAGE("no shell...");
 583                 ASSERT(0);
 584         }
 585
 586         Pt3 p000, p001, p010, p011, p100, p101, p110, p111;
 587         Pt3 px00, px01, px10, px11;
 588         Pt3 p0y0, p0y1, p1y0, p1y1;
 589         Pt3 p00z, p01z, p10z, p11z;
 590         Pt3 pxy0, pxy1, px0z, px1z, p0yz, p1yz;
 591
 592         GetPoint(p000, 0, 0, 0, nbx, nby, nbz, np, meshDS);
 593         GetPoint(p001, 0, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 594         GetPoint(p010, 0, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 595         GetPoint(p011, 0, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 596         GetPoint(p100, nbx - 1, 0, 0, nbx, nby, nbz, np, meshDS);
 597         GetPoint(p101, nbx - 1, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 598         GetPoint(p110, nbx - 1, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 599         GetPoint(p111, nbx - 1, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 600
 601         for (int i = 1; i < nbx - 1; i++)
 602         {
 603                 for (int j = 1; j < nby - 1; j++)
 604                 {
 605                         for (int k = 1; k < nbz - 1; k++)
 606                         {
 607                                 // *** seulement maillage regulier
 608                                 // 12 points on edges
 609                                 GetPoint(px00, i, 0, 0, nbx, nby, nbz, np, meshDS);
 610                                 GetPoint(px01, i, 0, nbz - 1, nbx, nby, nbz, np, meshDS);
 611                                 GetPoint(px10, i, nby - 1, 0, nbx, nby, nbz, np, meshDS);
 612                                 GetPoint(px11, i, nby - 1, nbz - 1, nbx, nby, nbz, np, meshDS);
 613
 614                                 GetPoint(p0y0, 0, j, 0, nbx, nby, nbz, np, meshDS);
 615                                 GetPoint(p0y1, 0, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 616                                 GetPoint(p1y0, nbx - 1, j, 0, nbx, nby, nbz, np, meshDS);
 617                                 GetPoint(p1y1, nbx - 1, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 618
 619                                 GetPoint(p00z, 0, 0, k, nbx, nby, nbz, np, meshDS);
 620                                 GetPoint(p01z, 0, nby - 1, k, nbx, nby, nbz, np, meshDS);
 621                                 GetPoint(p10z, nbx - 1, 0, k, nbx, nby, nbz, np, meshDS);
 622                                 GetPoint(p11z, nbx - 1, nby - 1, k, nbx, nby, nbz, np, meshDS);
 623
 624                                 // 12 points on faces
 625                                 GetPoint(pxy0, i, j, 0, nbx, nby, nbz, np, meshDS);
 626                                 GetPoint(pxy1, i, j, nbz - 1, nbx, nby, nbz, np, meshDS);
 627                                 GetPoint(px0z, i, 0, k, nbx, nby, nbz, np, meshDS);
 628                                 GetPoint(px1z, i, nby - 1, k, nbx, nby, nbz, np, meshDS);
 629                                 GetPoint(p0yz, 0, j, k, nbx, nby, nbz, np, meshDS);
 630                                 GetPoint(p1yz, nbx - 1, j, k, nbx, nby, nbz, np, meshDS);
 631
 632                                 int ijk = k * nbx * nby + j * nbx + i;
 633                                 double x = double (i) / double (nbx - 1);       // *** seulement
 634                                 double y = double (j) / double (nby - 1);       // *** maillage
 635                                 double z = double (k) / double (nbz - 1);       // *** regulier
 636
 637                                 Pt3 X;
 638                                 for (int i = 0; i < 3; i++)
 639                                 {
 640                                         X[i] =
 641                                                 (1 - x) * p0yz[i] + x * p1yz[i]
 642                                                 + (1 - y) * px0z[i] + y * px1z[i]
 643                                                 + (1 - z) * pxy0[i] + z * pxy1[i]
 644                                                 - (1 - x) * ((1 - y) * p00z[i] + y * p01z[i])
 645                                                 - x * ((1 - y) * p10z[i] + y * p11z[i])
 646                                                 - (1 - y) * ((1 - z) * px00[i] + z * px01[i])
 647                                                 - y * ((1 - z) * px10[i] + z * px11[i])
 648                                                 - (1 - z) * ((1 - x) * p0y0[i] + x * p1y0[i])
 649                                                 - z * ((1 - x) * p0y1[i] + x * p1y1[i])
 650                                                 + (1 - x) * ((1 - y) * ((1 - z) * p000[i] + z * p001[i])
 651                                                 + y * ((1 - z) * p010[i] + z * p011[i]))
 652                                                 + x * ((1 - y) * ((1 - z) * p100[i] + z * p101[i])
 653                                                 + y * ((1 - z) * p110[i] + z * p111[i]));
 654                                 }
 655
 656                                 SMDS_MeshNode * node = meshDS->AddNode(X[0], X[1], X[2]);
 657                                 np[ijk].node = node;
 658                                 //meshDS->SetNodeInVolume(node, TopoDS::Solid(aShape));
 659                                 meshDS->SetNodeInVolume(node, aShell);
 660                         }
 661                 }
 662         }
 663
 664         //2.1 - for each node of the cube (less 3 *1 Faces):
 665         //      - store hexahedron in SMESHDS
 666         MESSAGE("Storing hexahedron into the DS");
 667         for (int i = 0; i < nbx - 1; i++)
 668                 for (int j = 0; j < nby - 1; j++)
 669                         for (int k = 0; k < nbz - 1; k++)
 670                         {
 671                                 int n1 = k * nbx * nby + j * nbx + i;
 672                                 int n2 = k * nbx * nby + j * nbx + i + 1;
 673                                 int n3 = k * nbx * nby + (j + 1) * nbx + i + 1;
 674                                 int n4 = k * nbx * nby + (j + 1) * nbx + i;
 675                                 int n5 = (k + 1) * nbx * nby + j * nbx + i;
 676                                 int n6 = (k + 1) * nbx * nby + j * nbx + i + 1;
 677                                 int n7 = (k + 1) * nbx * nby + (j + 1) * nbx + i + 1;
 678                                 int n8 = (k + 1) * nbx * nby + (j + 1) * nbx + i;
 679
 680 //    MESSAGE(" "<<n1<<" "<<n2<<" "<<n3<<" "<<n4<<" "<<n5<<" "<<n6<<" "<<n7<<" "<<n8);
 681                                 //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);
 682
 683                                 SMDS_MeshVolume * elt = meshDS->AddVolume(np[n1].node,
 684                                         np[n2].node,
 685                                         np[n3].node,
 686                                         np[n4].node,
 687                                         np[n5].node,
 688                                         np[n6].node,
 689                                         np[n7].node,
 690                                         np[n8].node);
 691                                  ;
 692                                 meshDS->SetMeshElementOnShape(elt, aShell);
 693
 694                                 // *** 5 tetrahedres ... verifier orientations,
 695                                 //     mettre en coherence &vec quadrangles-> triangles
 696                                 //     choisir afficher 1 parmi edges, face et volumes
 697 //    int tetra1 = meshDS->AddVolume(np[n1].nodeId,
 698 //                   np[n2].nodeId,
 699 //                   np[n4].nodeId,
 700 //                   np[n5].nodeId);
 701 //    int tetra2 = meshDS->AddVolume(np[n2].nodeId,
 702 //                   np[n3].nodeId,
 703 //                   np[n4].nodeId,
 704 //                   np[n7].nodeId);
 705 //    int tetra3 = meshDS->AddVolume(np[n5].nodeId,
 706 //                   np[n6].nodeId,
 707 //                   np[n7].nodeId,
 708 //                   np[n2].nodeId);
 709 //    int tetra4 = meshDS->AddVolume(np[n5].nodeId,
 710 //                   np[n7].nodeId,
 711 //                   np[n8].nodeId,
 712 //                   np[n4].nodeId);
 713 //    int tetra5 = meshDS->AddVolume(np[n5].nodeId,
 714 //                   np[n7].nodeId,
 715 //                   np[n2].nodeId,
 716 //                   np[n4].nodeId);
 717
 718                         }
 719
 720         MESSAGE("End of SMESH_Hexa_3D::Compute()");
 721         return true;
 722 }
 723
 724 //=============================================================================
 725 /*!
 726  *
 727  */
 728 //=============================================================================
 729
 730 void SMESH_Hexa_3D::GetPoint(Pt3 p, int i, int j, int k, int nbx, int nby,
 731         int nbz, Point3DStruct * np, const SMESHDS_Mesh * meshDS)
 732 {
 733         int ijk = k * nbx * nby + j * nbx + i;
 734         const SMDS_MeshNode * node = np[ijk].node;
 735         p[0] = node->X();
 736         p[1] = node->Y();
 737         p[2] = node->Z();
 738         //MESSAGE(" "<<i<<" "<<j<<" "<<k<<" "<<p[0]<<" "<<p[1]<<" "<<p[2]);
 739 }
 740
 741 //=============================================================================
 742 /*!
 743  *
 744  */
 745 //=============================================================================
 746
 747 int SMESH_Hexa_3D::GetFaceIndex(SMESH_Mesh & aMesh,
 748         const TopoDS_Shape & aShape,
 749         const vector < SMESH_subMesh * >&meshFaces,
 750         const TopoDS_Vertex & V0,
 751         const TopoDS_Vertex & V1,
 752         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3)
 753 {
 754         MESSAGE("SMESH_Hexa_3D::GetFaceIndex");
 755         int faceIndex = -1;
 756         for (int i = 1; i < 6; i++)
 757         {
 758                 const TopoDS_Shape & aFace = meshFaces[i]->GetSubShape();
 759                 //const TopoDS_Face& F = TopoDS::Face(aFace);
 760                 TopTools_IndexedMapOfShape M;
 761                 TopExp::MapShapes(aFace, TopAbs_VERTEX, M);
 762                 bool verticesInShape = false;
 763                 if (M.Contains(V0))
 764                         if (M.Contains(V1))
 765                                 if (M.Contains(V2))
 766                                         if (M.Contains(V3))
 767                                                 verticesInShape = true;
 768                 if (verticesInShape)
 769                 {
 770                         faceIndex = i;
 771                         break;
 772                 }
 773         }
 774         ASSERT(faceIndex > 0);
 775         SCRUTE(faceIndex);
 776         return faceIndex;
 777 }
 778
 779 //=============================================================================
 780 /*!
 781  *
 782  */
 783 //=============================================================================
 784
 785 TopoDS_Edge
 786         SMESH_Hexa_3D::EdgeNotInFace(SMESH_Mesh & aMesh,
 787         const TopoDS_Shape & aShape,
 788         const TopoDS_Face & aFace,
 789         const TopoDS_Vertex & aVertex,
 790         const TopTools_IndexedDataMapOfShapeListOfShape & MS)
 791 {
 792         MESSAGE("SMESH_Hexa_3D::EdgeNotInFace");
 793         TopTools_IndexedDataMapOfShapeListOfShape MF;
 794         TopExp::MapShapesAndAncestors(aFace, TopAbs_VERTEX, TopAbs_EDGE, MF);
 795         const TopTools_ListOfShape & ancestorsInSolid = MS.FindFromKey(aVertex);
 796         const TopTools_ListOfShape & ancestorsInFace = MF.FindFromKey(aVertex);
 797         SCRUTE(ancestorsInSolid.Extent());
 798         SCRUTE(ancestorsInFace.Extent());
 799         ASSERT(ancestorsInSolid.Extent() == 6); // 6 (edges doublees)
 800         ASSERT(ancestorsInFace.Extent() == 2);
 801
 802         TopoDS_Edge E;
 803         E.Nullify();
 804         TopTools_ListIteratorOfListOfShape its(ancestorsInSolid);
 805         for (; its.More(); its.Next())
 806         {
 807                 TopoDS_Shape ancestor = its.Value();
 808                 TopTools_ListIteratorOfListOfShape itf(ancestorsInFace);
 809                 bool isInFace = false;
 810                 for (; itf.More(); itf.Next())
 811                 {
 812                         TopoDS_Shape ancestorInFace = itf.Value();
 813                         if (ancestorInFace.IsSame(ancestor))
 814                         {
 815                                 isInFace = true;
 816                                 break;
 817                         }
 818                 }
 819                 if (!isInFace)
 820                 {
 821                         E = TopoDS::Edge(ancestor);
 822                         break;
 823                 }
 824         }
 825         return E;
 826 }
 827
 828 //=============================================================================
 829 /*!
 830  *
 831  */
 832 //=============================================================================
 833
 834 void SMESH_Hexa_3D::GetConv2DCoefs(const faceQuadStruct & quad,
 835         const TopoDS_Shape & aShape,
 836         const TopoDS_Vertex & V0,
 837         const TopoDS_Vertex & V1,
 838         const TopoDS_Vertex & V2, const TopoDS_Vertex & V3, Conv2DStruct & conv)
 839 {
 840         MESSAGE("SMESH_Hexa_3D::GetConv2DCoefs");
 841         const TopoDS_Face & F = TopoDS::Face(aShape);
 842         TopoDS_Edge E = quad.edge[0];
 843         double f, l;
 844         Handle(Geom2d_Curve) C2d = BRep_Tool::CurveOnSurface(E, F, f, l);
 845         TopoDS_Vertex VFirst, VLast;
 846         TopExp::Vertices(E, VFirst, VLast);     // corresponds to f and l
 847         bool isForward = (((l - f) * (quad.last[0] - quad.first[0])) > 0);
 848         TopoDS_Vertex VA, VB;
 849         if (isForward)
 850         {
 851                 VA = VFirst;
 852                 VB = VLast;
 853         }
 854         else
 855         {
 856                 VA = VLast;
 857                 VB = VFirst;
 858         }
 859         int a1, b1, c1, a2, b2, c2;
 860         if (VA.IsSame(V0))
 861                 if (VB.IsSame(V1))
 862                 {
 863                         a1 = 1;
 864                         b1 = 0;
 865                         c1 = 0;                         // x
 866                         a2 = 0;
 867                         b2 = 1;
 868                         c2 = 0;                         // y
 869                 }
 870                 else
 871                 {
 872                         ASSERT(VB.IsSame(V3));
 873                         a1 = 0;
 874                         b1 = 1;
 875                         c1 = 0;                         // y
 876                         a2 = 1;
 877                         b2 = 0;
 878                         c2 = 0;                         // x
 879                 }
 880         if (VA.IsSame(V1))
 881                 if (VB.IsSame(V2))
 882                 {
 883                         a1 = 0;
 884                         b1 = -1;
 885                         c1 = 1;                         // 1-y
 886                         a2 = 1;
 887                         b2 = 0;
 888                         c2 = 0;                         // x
 889                 }
 890                 else
 891                 {
 892                         ASSERT(VB.IsSame(V0));
 893                         a1 = -1;
 894                         b1 = 0;
 895                         c1 = 1;                         // 1-x
 896                         a2 = 0;
 897                         b2 = 1;
 898                         c2 = 0;                         // y
 899                 }
 900         if (VA.IsSame(V2))
 901                 if (VB.IsSame(V3))
 902                 {
 903                         a1 = -1;
 904                         b1 = 0;
 905                         c1 = 1;                         // 1-x
 906                         a2 = 0;
 907                         b2 = -1;
 908                         c2 = 1;                         // 1-y
 909                 }
 910                 else
 911                 {
 912                         ASSERT(VB.IsSame(V1));
 913                         a1 = 0;
 914                         b1 = -1;
 915                         c1 = 1;                         // 1-y
 916                         a2 = -1;
 917                         b2 = 0;
 918                         c2 = 1;                         // 1-x
 919                 }
 920         if (VA.IsSame(V3))
 921                 if (VB.IsSame(V0))
 922                 {
 923                         a1 = 0;
 924                         b1 = 1;
 925                         c1 = 0;                         // y
 926                         a2 = -1;
 927                         b2 = 0;
 928                         c2 = 1;                         // 1-x
 929                 }
 930                 else
 931                 {
 932                         ASSERT(VB.IsSame(V2));
 933                         a1 = 1;
 934                         b1 = 0;
 935                         c1 = 0;                         // x
 936                         a2 = 0;
 937                         b2 = -1;
 938                         c2 = 1;                         // 1-y
 939                 }
 940         MESSAGE("X = " << c1 << "+ " << a1 << "*x + " << b1 << "*y");
 941         MESSAGE("Y = " << c2 << "+ " << a2 << "*x + " << b2 << "*y");
 942         conv.a1 = a1;
 943         conv.b1 = b1;
 944         conv.c1 = c1;
 945         conv.a2 = a2;
 946         conv.b2 = b2;
 947         conv.c2 = c2;
 948
 949         int nbdown = quad.nbPts[0];
 950         int nbright = quad.nbPts[1];
 951         conv.ia = int (a1);
 952         conv.ib = int (b1);
 953         conv.ic =
 954                 int (c1 * a1 * a1) * (nbdown - 1) + int (c1 * b1 * b1) * (nbright - 1);
 955         conv.ja = int (a2);
 956         conv.jb = int (b2);
 957         conv.jc =
 958                 int (c2 * a2 * a2) * (nbdown - 1) + int (c2 * b2 * b2) * (nbright - 1);
 959         MESSAGE("I " << conv.ia << " " << conv.ib << " " << conv.ic);
 960         MESSAGE("J " << conv.ja << " " << conv.jb << " " << conv.jc);
 961 }
 962
 963 //=============================================================================
 964 /*!
 965  *
 966  */
 967 //=============================================================================
 968
 969 ostream & SMESH_Hexa_3D::SaveTo(ostream & save)
 970 {
 971         return save << this;
 972 }
 973
 974 //=============================================================================
 975 /*!
 976  *
 977  */
 978 //=============================================================================
 979
 980 istream & SMESH_Hexa_3D::LoadFrom(istream & load)
 981 {
 982         return load >> (*this);
 983 }
 984
 985 //=============================================================================
 986 /*!
 987  *
 988  */
 989 //=============================================================================
 990
 991 ostream & operator <<(ostream & save, SMESH_Hexa_3D & hyp)
 992 {
 993         return save;
 994 }
 995
 996 //=============================================================================
 997 /*!
 998  *
 999  */
1000 //=============================================================================
1001
1002 istream & operator >>(istream & load, SMESH_Hexa_3D & hyp)
1003 {
1004         return load;
1005 }