1 // SMESH SMESH : implementaion of SMESH idl descriptions
3 // Copyright (C) 2003 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
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.
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.
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
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
24 // File : StdMeshers_Quadrangle_2D.cxx
25 // Moved here from SMESH_Quadrangle_2D.cxx
26 // Author : Paul RASCLE, EDF
30 #include "StdMeshers_Quadrangle_2D.hxx"
32 #include "StdMeshers_FaceSide.hxx"
34 #include "SMESH_Gen.hxx"
35 #include "SMESH_Mesh.hxx"
36 #include "SMESH_subMesh.hxx"
37 #include "SMESH_MesherHelper.hxx"
38 #include "SMESH_Block.hxx"
39 #include "SMESH_Comment.hxx"
41 #include "SMDS_MeshElement.hxx"
42 #include "SMDS_MeshNode.hxx"
43 #include "SMDS_EdgePosition.hxx"
44 #include "SMDS_FacePosition.hxx"
46 #include <BRepTools.hxx>
47 #include <BRepTools_WireExplorer.hxx>
48 #include <BRep_Tool.hxx>
49 #include <Geom_Surface.hxx>
50 #include <NCollection_DefineArray2.hxx>
51 #include <Precision.hxx>
52 #include <TColStd_SequenceOfReal.hxx>
53 #include <TColgp_SequenceOfXY.hxx>
57 #include "utilities.h"
58 #include "Utils_ExceptHandlers.hxx"
60 #ifndef StdMeshers_Array2OfNode_HeaderFile
61 #define StdMeshers_Array2OfNode_HeaderFile
62 typedef const SMDS_MeshNode* SMDS_MeshNodePtr;
63 DEFINE_BASECOLLECTION (StdMeshers_BaseCollectionNodePtr, SMDS_MeshNodePtr)
64 DEFINE_ARRAY2(StdMeshers_Array2OfNode,
65 StdMeshers_BaseCollectionNodePtr, SMDS_MeshNodePtr)
71 typedef SMESH_Comment TComm;
73 //=============================================================================
77 //=============================================================================
79 StdMeshers_Quadrangle_2D::StdMeshers_Quadrangle_2D (int hypId, int studyId, SMESH_Gen* gen)
80 : SMESH_2D_Algo(hypId, studyId, gen)
82 MESSAGE("StdMeshers_Quadrangle_2D::StdMeshers_Quadrangle_2D");
83 _name = "Quadrangle_2D";
84 _shapeType = (1 << TopAbs_FACE);
85 _compatibleHypothesis.push_back("QuadranglePreference");
89 //=============================================================================
93 //=============================================================================
95 StdMeshers_Quadrangle_2D::~StdMeshers_Quadrangle_2D()
97 MESSAGE("StdMeshers_Quadrangle_2D::~StdMeshers_Quadrangle_2D");
100 //=============================================================================
104 //=============================================================================
106 bool StdMeshers_Quadrangle_2D::CheckHypothesis
108 const TopoDS_Shape& aShape,
109 SMESH_Hypothesis::Hypothesis_Status& aStatus)
112 aStatus = SMESH_Hypothesis::HYP_OK;
114 // there is only one compatible Hypothesis so far
115 const list <const SMESHDS_Hypothesis * >&hyps = GetUsedHypothesis(aMesh, aShape, false);
116 myQuadranglePreference = hyps.size() > 0;
121 //=============================================================================
125 //=============================================================================
127 bool StdMeshers_Quadrangle_2D::Compute (SMESH_Mesh& aMesh,
128 const TopoDS_Shape& aShape)// throw (SALOME_Exception)
130 // PAL14921. Enable catching std::bad_alloc and Standard_OutOfMemory outside
131 //Unexpect aCatchSalomeException);
133 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
134 aMesh.GetSubMesh(aShape);
136 SMESH_MesherHelper helper(aMesh);
139 _quadraticMesh = myTool->IsQuadraticSubMesh(aShape);
141 FaceQuadStruct *quad = CheckNbEdges( aMesh, aShape );
142 std::auto_ptr<FaceQuadStruct> quadDeleter( quad ); // to delete quad at exit from Compute()
146 if(myQuadranglePreference) {
147 int n1 = quad->side[0]->NbPoints();
148 int n2 = quad->side[1]->NbPoints();
149 int n3 = quad->side[2]->NbPoints();
150 int n4 = quad->side[3]->NbPoints();
151 int nfull = n1+n2+n3+n4;
154 if( nfull==ntmp && ( (n1!=n3) || (n2!=n4) ) ) {
155 // special path for using only quandrangle faces
156 bool ok = ComputeQuadPref(aMesh, aShape, quad);
161 // set normalized grid on unit square in parametric domain
163 if (!SetNormalizedGrid(aMesh, aShape, quad))
166 // --- compute 3D values on points, store points & quadrangles
168 int nbdown = quad->side[0]->NbPoints();
169 int nbup = quad->side[2]->NbPoints();
171 int nbright = quad->side[1]->NbPoints();
172 int nbleft = quad->side[3]->NbPoints();
174 int nbhoriz = Min(nbdown, nbup);
175 int nbvertic = Min(nbright, nbleft);
177 const TopoDS_Face& F = TopoDS::Face(aShape);
178 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
180 // internal mesh nodes
181 int i, j, geomFaceID = meshDS->ShapeToIndex( F );
182 for (i = 1; i < nbhoriz - 1; i++) {
183 for (j = 1; j < nbvertic - 1; j++) {
184 int ij = j * nbhoriz + i;
185 double u = quad->uv_grid[ij].u;
186 double v = quad->uv_grid[ij].v;
187 gp_Pnt P = S->Value(u, v);
188 SMDS_MeshNode * node = meshDS->AddNode(P.X(), P.Y(), P.Z());
189 meshDS->SetNodeOnFace(node, geomFaceID, u, v);
190 quad->uv_grid[ij].node = node;
197 // --.--.--.--.--.-- nbvertic
203 // ---.----.----.--- 0
204 // 0 > > > > > > > > nbhoriz
210 int iup = nbhoriz - 1;
211 if (quad->isEdgeOut[3]) { ilow++; } else { if (quad->isEdgeOut[1]) iup--; }
214 int jup = nbvertic - 1;
215 if (quad->isEdgeOut[0]) { jlow++; } else { if (quad->isEdgeOut[2]) jup--; }
217 // regular quadrangles
218 for (i = ilow; i < iup; i++) {
219 for (j = jlow; j < jup; j++) {
220 const SMDS_MeshNode *a, *b, *c, *d;
221 a = quad->uv_grid[j * nbhoriz + i].node;
222 b = quad->uv_grid[j * nbhoriz + i + 1].node;
223 c = quad->uv_grid[(j + 1) * nbhoriz + i + 1].node;
224 d = quad->uv_grid[(j + 1) * nbhoriz + i].node;
225 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
226 meshDS->SetMeshElementOnShape(face, geomFaceID);
230 const vector<UVPtStruct>& uv_e0 = quad->side[0]->GetUVPtStruct(true,0 );
231 const vector<UVPtStruct>& uv_e1 = quad->side[1]->GetUVPtStruct(false,1);
232 const vector<UVPtStruct>& uv_e2 = quad->side[2]->GetUVPtStruct(true,1 );
233 const vector<UVPtStruct>& uv_e3 = quad->side[3]->GetUVPtStruct(false,0);
235 if ( uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty() )
236 return error( COMPERR_BAD_INPUT_MESH );
238 double eps = Precision::Confusion();
240 // Boundary quadrangles
242 if (quad->isEdgeOut[0]) {
245 // |___|___|___|___|___|___|
247 // |___|___|___|___|___|___|
249 // |___|___|___|___|___|___| __ first row of the regular grid
250 // . . . . . . . . . __ down edge nodes
252 // >->->->->->->->->->->->-> -- direction of processing
254 int g = 0; // number of last processed node in the regular grid
256 // number of last node of the down edge to be processed
257 int stop = nbdown - 1;
258 // if right edge is out, we will stop at a node, previous to the last one
259 if (quad->isEdgeOut[1]) stop--;
261 // for each node of the down edge find nearest node
262 // in the first row of the regular grid and link them
263 for (i = 0; i < stop; i++) {
264 const SMDS_MeshNode *a, *b, *c, *d;
266 b = uv_e0[i + 1].node;
267 gp_Pnt pb (b->X(), b->Y(), b->Z());
269 // find node c in the regular grid, which will be linked with node b
272 // right bound reached, link with the rightmost node
274 c = quad->uv_grid[nbhoriz + iup].node;
277 // find in the grid node c, nearest to the b
278 double mind = RealLast();
279 for (int k = g; k <= iup; k++) {
281 const SMDS_MeshNode *nk;
282 if (k < ilow) // this can be, if left edge is out
283 nk = uv_e3[1].node; // get node from the left edge
285 nk = quad->uv_grid[nbhoriz + k].node; // get one of middle nodes
287 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
288 double dist = pb.Distance(pnk);
289 if (dist < mind - eps) {
299 if (near == g) { // make triangle
300 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c);
301 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
302 meshDS->SetMeshElementOnShape(face, geomFaceID);
304 else { // make quadrangle
308 d = quad->uv_grid[nbhoriz + near - 1].node;
309 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
310 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
311 meshDS->SetMeshElementOnShape(face, geomFaceID);
313 // if node d is not at position g - make additional triangles
315 for (int k = near - 1; k > g; k--) {
316 c = quad->uv_grid[nbhoriz + k].node;
320 d = quad->uv_grid[nbhoriz + k - 1].node;
321 //SMDS_MeshFace* face = meshDS->AddFace(a, c, d);
322 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
323 meshDS->SetMeshElementOnShape(face, geomFaceID);
330 if (quad->isEdgeOut[2]) {
333 // <-<-<-<-<-<-<-<-<-<-<-<-< -- direction of processing
335 // . . . . . . . . . __ up edge nodes
336 // ___ ___ ___ ___ ___ ___ __ first row of the regular grid
338 // |___|___|___|___|___|___|
340 // |___|___|___|___|___|___|
343 int g = nbhoriz - 1; // last processed node in the regular grid
346 // if left edge is out, we will stop at a second node
347 if (quad->isEdgeOut[3]) stop++;
349 // for each node of the up edge find nearest node
350 // in the first row of the regular grid and link them
351 for (i = nbup - 1; i > stop; i--) {
352 const SMDS_MeshNode *a, *b, *c, *d;
354 b = uv_e2[i - 1].node;
355 gp_Pnt pb (b->X(), b->Y(), b->Z());
357 // find node c in the grid, which will be linked with node b
359 if (i == stop + 1) { // left bound reached, link with the leftmost node
360 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + ilow].node;
363 // find node c in the grid, nearest to the b
364 double mind = RealLast();
365 for (int k = g; k >= ilow; k--) {
366 const SMDS_MeshNode *nk;
368 nk = uv_e1[nbright - 2].node;
370 nk = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
371 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
372 double dist = pb.Distance(pnk);
373 if (dist < mind - eps) {
383 if (near == g) { // make triangle
384 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c);
385 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
386 meshDS->SetMeshElementOnShape(face, geomFaceID);
388 else { // make quadrangle
390 d = uv_e1[nbright - 2].node;
392 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + near + 1].node;
393 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
394 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
395 meshDS->SetMeshElementOnShape(face, geomFaceID);
397 if (near + 1 < g) { // if d not is at g - make additional triangles
398 for (int k = near + 1; k < g; k++) {
399 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
401 d = uv_e1[nbright - 2].node;
403 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + k + 1].node;
404 //SMDS_MeshFace* face = meshDS->AddFace(a, c, d);
405 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
406 meshDS->SetMeshElementOnShape(face, geomFaceID);
415 // right or left boundary quadrangles
416 if (quad->isEdgeOut[1]) {
417 // MESSAGE("right edge is out");
418 int g = 0; // last processed node in the grid
419 int stop = nbright - 1;
420 if (quad->isEdgeOut[2]) stop--;
421 for (i = 0; i < stop; i++) {
422 const SMDS_MeshNode *a, *b, *c, *d;
424 b = uv_e1[i + 1].node;
425 gp_Pnt pb (b->X(), b->Y(), b->Z());
427 // find node c in the grid, nearest to the b
429 if (i == stop - 1) { // up bondary reached
430 c = quad->uv_grid[nbhoriz*(jup + 1) - 2].node;
433 double mind = RealLast();
434 for (int k = g; k <= jup; k++) {
435 const SMDS_MeshNode *nk;
437 nk = uv_e0[nbdown - 2].node;
439 nk = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
440 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
441 double dist = pb.Distance(pnk);
442 if (dist < mind - eps) {
452 if (near == g) { // make triangle
453 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c);
454 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
455 meshDS->SetMeshElementOnShape(face, geomFaceID);
457 else { // make quadrangle
459 d = uv_e0[nbdown - 2].node;
461 d = quad->uv_grid[nbhoriz*near - 2].node;
462 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
463 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
464 meshDS->SetMeshElementOnShape(face, geomFaceID);
466 if (near - 1 > g) { // if d not is at g - make additional triangles
467 for (int k = near - 1; k > g; k--) {
468 c = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
470 d = uv_e0[nbdown - 2].node;
472 d = quad->uv_grid[nbhoriz*k - 2].node;
473 //SMDS_MeshFace* face = meshDS->AddFace(a, c, d);
474 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
475 meshDS->SetMeshElementOnShape(face, geomFaceID);
482 if (quad->isEdgeOut[3]) {
483 // MESSAGE("left edge is out");
484 int g = nbvertic - 1; // last processed node in the grid
486 if (quad->isEdgeOut[0]) stop++;
487 for (i = nbleft - 1; i > stop; i--) {
488 const SMDS_MeshNode *a, *b, *c, *d;
490 b = uv_e3[i - 1].node;
491 gp_Pnt pb (b->X(), b->Y(), b->Z());
493 // find node c in the grid, nearest to the b
495 if (i == stop + 1) { // down bondary reached
496 c = quad->uv_grid[nbhoriz*jlow + 1].node;
499 double mind = RealLast();
500 for (int k = g; k >= jlow; k--) {
501 const SMDS_MeshNode *nk;
505 nk = quad->uv_grid[nbhoriz*k + 1].node;
506 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
507 double dist = pb.Distance(pnk);
508 if (dist < mind - eps) {
518 if (near == g) { // make triangle
519 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c);
520 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
521 meshDS->SetMeshElementOnShape(face, geomFaceID);
523 else { // make quadrangle
527 d = quad->uv_grid[nbhoriz*(near + 1) + 1].node;
528 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
529 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
530 meshDS->SetMeshElementOnShape(face, geomFaceID);
532 if (near + 1 < g) { // if d not is at g - make additional triangles
533 for (int k = near + 1; k < g; k++) {
534 c = quad->uv_grid[nbhoriz*k + 1].node;
538 d = quad->uv_grid[nbhoriz*(k + 1) + 1].node;
539 //SMDS_MeshFace* face = meshDS->AddFace(a, c, d);
540 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
541 meshDS->SetMeshElementOnShape(face, geomFaceID);
554 //=============================================================================
558 //=============================================================================
560 FaceQuadStruct* StdMeshers_Quadrangle_2D::CheckNbEdges(SMESH_Mesh & aMesh,
561 const TopoDS_Shape & aShape)
562 //throw(SALOME_Exception)
564 const TopoDS_Face & F = TopoDS::Face(aShape);
565 const bool ignoreMediumNodes = _quadraticMesh;
567 // verify 1 wire only, with 4 edges
569 list< TopoDS_Edge > edges;
570 list< int > nbEdgesInWire;
571 int nbWire = SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
573 error(COMPERR_BAD_SHAPE, TComm("Wrong number of wires: ") << nbWire);
576 FaceQuadStruct* quad = new FaceQuadStruct;
578 quad->side.reserve(nbEdgesInWire.front());
581 list< TopoDS_Edge >::iterator edgeIt = edges.begin();
582 if ( nbEdgesInWire.front() == 4 ) { // exactly 4 edges
583 for ( ; edgeIt != edges.end(); ++edgeIt, nbSides++ )
584 quad->side.push_back( new StdMeshers_FaceSide(F, *edgeIt, &aMesh,
585 nbSides<TOP_SIDE, ignoreMediumNodes));
587 else if ( nbEdgesInWire.front() > 4 ) { // more than 4 edges - try to unite some
588 list< TopoDS_Edge > sideEdges;
589 while ( !edges.empty()) {
591 sideEdges.splice( sideEdges.end(), edges, edges.begin()); // edges.front() -> sideEdges.end()
592 bool sameSide = true;
593 while ( !edges.empty() && sameSide ) {
594 sameSide = SMESH_Algo::IsContinuous( sideEdges.back(), edges.front() );
596 sideEdges.splice( sideEdges.end(), edges, edges.begin());
598 if ( nbSides == 0 ) { // go backward from the first edge
600 while ( !edges.empty() && sameSide ) {
601 sameSide = SMESH_Algo::IsContinuous( sideEdges.front(), edges.back() );
603 sideEdges.splice( sideEdges.begin(), edges, --edges.end());
606 quad->side.push_back( new StdMeshers_FaceSide(F, sideEdges, &aMesh,
607 nbSides<TOP_SIDE, ignoreMediumNodes));
613 MESSAGE ( "StdMeshers_Quadrangle_2D. Edge IDs of " << nbSides << " sides:\n" );
614 for ( int i = 0; i < nbSides; ++i ) {
616 for ( int e = 0; e < quad->side[i]->NbEdges(); ++e )
617 MESSAGE ( myTool->GetMeshDS()->ShapeToIndex( quad->side[i]->Edge( e )) << " " );
623 nbSides = nbEdgesInWire.front();
624 error(COMPERR_BAD_SHAPE, TComm("Face must have 4 sides but not ") << nbSides);
632 //=============================================================================
636 //=============================================================================
638 FaceQuadStruct *StdMeshers_Quadrangle_2D::CheckAnd2Dcompute
640 const TopoDS_Shape & aShape,
641 const bool CreateQuadratic) //throw(SALOME_Exception)
643 _quadraticMesh = CreateQuadratic;
645 FaceQuadStruct *quad = CheckNbEdges(aMesh, aShape);
649 // set normalized grid on unit square in parametric domain
650 bool stat = SetNormalizedGrid(aMesh, aShape, quad);
660 //=============================================================================
664 //=============================================================================
666 faceQuadStruct::~faceQuadStruct()
668 for (int i = 0; i < side.size(); i++) {
669 if (side[i]) delete side[i];
671 if (uv_grid) delete [] uv_grid;
675 inline const vector<UVPtStruct>& GetUVPtStructIn(FaceQuadStruct* quad, int i, int nbSeg)
677 bool isXConst = ( i == BOTTOM_SIDE || i == TOP_SIDE );
678 double constValue = ( i == BOTTOM_SIDE || i == LEFT_SIDE ) ? 0 : 1;
681 quad->side[i]->SimulateUVPtStruct(nbSeg,isXConst,constValue) :
682 quad->side[i]->GetUVPtStruct(isXConst,constValue);
686 //=============================================================================
690 //=============================================================================
692 bool StdMeshers_Quadrangle_2D::SetNormalizedGrid (SMESH_Mesh & aMesh,
693 const TopoDS_Shape& aShape,
694 FaceQuadStruct* & quad) //throw (SALOME_Exception)
696 // Algorithme décrit dans "Génération automatique de maillages"
697 // P.L. GEORGE, MASSON, § 6.4.1 p. 84-85
698 // traitement dans le domaine paramétrique 2d u,v
699 // transport - projection sur le carré unité
701 // MESSAGE("StdMeshers_Quadrangle_2D::SetNormalizedGrid");
702 // const TopoDS_Face& F = TopoDS::Face(aShape);
704 // 1 --- find orientation of the 4 edges, by test on extrema
707 // |<----north-2-------^ a3 -------------> a2
709 // west-3 east-1 =right | |
713 // v----south-0--------> a0 -------------> a1
718 // 3 --- 2D normalized values on unit square [0..1][0..1]
720 int nbhoriz = Min(quad->side[0]->NbPoints(), quad->side[2]->NbPoints());
721 int nbvertic = Min(quad->side[1]->NbPoints(), quad->side[3]->NbPoints());
723 quad->isEdgeOut[0] = (quad->side[0]->NbPoints() > quad->side[2]->NbPoints());
724 quad->isEdgeOut[1] = (quad->side[1]->NbPoints() > quad->side[3]->NbPoints());
725 quad->isEdgeOut[2] = (quad->side[2]->NbPoints() > quad->side[0]->NbPoints());
726 quad->isEdgeOut[3] = (quad->side[3]->NbPoints() > quad->side[1]->NbPoints());
728 UVPtStruct *uv_grid = quad->uv_grid = new UVPtStruct[nbvertic * nbhoriz];
730 const vector<UVPtStruct>& uv_e0 = GetUVPtStructIn( quad, 0, nbhoriz - 1 );
731 const vector<UVPtStruct>& uv_e1 = GetUVPtStructIn( quad, 1, nbvertic - 1 );
732 const vector<UVPtStruct>& uv_e2 = GetUVPtStructIn( quad, 2, nbhoriz - 1 );
733 const vector<UVPtStruct>& uv_e3 = GetUVPtStructIn( quad, 3, nbvertic - 1 );
735 if ( uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty() )
736 //return error( "Can't find nodes on sides");
737 return error( COMPERR_BAD_INPUT_MESH );
739 // nodes Id on "in" edges
740 if (! quad->isEdgeOut[0]) {
742 for (int i = 0; i < nbhoriz; i++) { // down
743 int ij = j * nbhoriz + i;
744 uv_grid[ij].node = uv_e0[i].node;
747 if (! quad->isEdgeOut[1]) {
749 for (int j = 0; j < nbvertic; j++) { // right
750 int ij = j * nbhoriz + i;
751 uv_grid[ij].node = uv_e1[j].node;
754 if (! quad->isEdgeOut[2]) {
755 int j = nbvertic - 1;
756 for (int i = 0; i < nbhoriz; i++) { // up
757 int ij = j * nbhoriz + i;
758 uv_grid[ij].node = uv_e2[i].node;
761 if (! quad->isEdgeOut[3]) {
763 for (int j = 0; j < nbvertic; j++) { // left
764 int ij = j * nbhoriz + i;
765 uv_grid[ij].node = uv_e3[j].node;
769 // normalized 2d values on grid
770 for (int i = 0; i < nbhoriz; i++)
772 for (int j = 0; j < nbvertic; j++)
774 int ij = j * nbhoriz + i;
775 // --- droite i cste : x = x0 + y(x1-x0)
776 double x0 = uv_e0[i].normParam; // bas - sud
777 double x1 = uv_e2[i].normParam; // haut - nord
778 // --- droite j cste : y = y0 + x(y1-y0)
779 double y0 = uv_e3[j].normParam; // gauche-ouest
780 double y1 = uv_e1[j].normParam; // droite - est
781 // --- intersection : x=x0+(y0+x(y1-y0))(x1-x0)
782 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
783 double y = y0 + x * (y1 - y0);
786 //MESSAGE("-xy-01 "<<x0<<" "<<x1<<" "<<y0<<" "<<y1);
787 //MESSAGE("-xy-norm "<<i<<" "<<j<<" "<<x<<" "<<y);
791 // 4 --- projection on 2d domain (u,v)
792 gp_UV a0( uv_e0.front().u, uv_e0.front().v );
793 gp_UV a1( uv_e0.back().u, uv_e0.back().v );
794 gp_UV a2( uv_e2.back().u, uv_e2.back().v );
795 gp_UV a3( uv_e2.front().u, uv_e2.front().v );
797 for (int i = 0; i < nbhoriz; i++)
799 for (int j = 0; j < nbvertic; j++)
801 int ij = j * nbhoriz + i;
802 double x = uv_grid[ij].x;
803 double y = uv_grid[ij].y;
804 double param_0 = uv_e0[0].normParam + x * (uv_e0.back().normParam - uv_e0[0].normParam); // sud
805 double param_2 = uv_e2[0].normParam + x * (uv_e2.back().normParam - uv_e2[0].normParam); // nord
806 double param_1 = uv_e1[0].normParam + y * (uv_e1.back().normParam - uv_e1[0].normParam); // est
807 double param_3 = uv_e3[0].normParam + y * (uv_e3.back().normParam - uv_e3[0].normParam); // ouest
809 //MESSAGE("params "<<param_0<<" "<<param_1<<" "<<param_2<<" "<<param_3);
810 gp_UV p0 = quad->side[0]->Value2d(param_0).XY();
811 gp_UV p1 = quad->side[1]->Value2d(param_1).XY();
812 gp_UV p2 = quad->side[2]->Value2d(param_2).XY();
813 gp_UV p3 = quad->side[3]->Value2d(param_3).XY();
815 gp_UV uv = (1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3;
816 uv -= (1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3;
818 uv_grid[ij].u = uv.X();
819 uv_grid[ij].v = uv.Y();
825 //=======================================================================
826 //function : ShiftQuad
827 //purpose : auxilary function for ComputeQuadPref
828 //=======================================================================
830 static void ShiftQuad(FaceQuadStruct* quad, const int num, bool)
832 StdMeshers_FaceSide* side[4] = { quad->side[0], quad->side[1], quad->side[2], quad->side[3] };
833 for (int i = BOTTOM_SIDE; i < NB_SIDES; ++i ) {
834 int id = ( i + num ) % NB_SIDES;
835 bool wasForward = ( i < TOP_SIDE );
836 bool newForward = ( id < TOP_SIDE );
837 if ( wasForward != newForward )
838 side[ i ]->Reverse();
839 quad->side[ id ] = side[ i ];
843 //=======================================================================
845 //purpose : auxilary function for ComputeQuadPref
846 //=======================================================================
848 static gp_UV CalcUV(double x0, double x1, double y0, double y1,
849 FaceQuadStruct* quad,
850 const gp_UV& a0, const gp_UV& a1,
851 const gp_UV& a2, const gp_UV& a3)
853 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0 );
854 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
855 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1 );
856 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
858 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
859 double y = y0 + x * (y1 - y0);
861 double param_b = uv_eb[0].normParam + x * (uv_eb.back().normParam - uv_eb[0].normParam);
862 double param_t = uv_et[0].normParam + x * (uv_et.back().normParam - uv_et[0].normParam);
863 double param_r = uv_er[0].normParam + y * (uv_er.back().normParam - uv_er[0].normParam);
864 double param_l = uv_el[0].normParam + y * (uv_el.back().normParam - uv_el[0].normParam);
866 gp_UV p0 = quad->side[BOTTOM_SIDE]->Value2d(param_b).XY();
867 gp_UV p1 = quad->side[RIGHT_SIDE ]->Value2d(param_r).XY();
868 gp_UV p2 = quad->side[TOP_SIDE ]->Value2d(param_t).XY();
869 gp_UV p3 = quad->side[LEFT_SIDE ]->Value2d(param_l).XY();
871 gp_UV uv = p0 * (1 - y) + p1 * x + p2 * y + p3 * (1 - x);
873 uv -= (1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3;
878 //=======================================================================
880 * Create only quandrangle faces
882 //=======================================================================
884 bool StdMeshers_Quadrangle_2D::ComputeQuadPref (SMESH_Mesh & aMesh,
885 const TopoDS_Shape& aShape,
886 FaceQuadStruct* quad)
888 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
889 const TopoDS_Face& F = TopoDS::Face(aShape);
890 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
891 // const TopoDS_Wire& W = BRepTools::OuterWire(F);
893 // if(W.Orientation()==TopAbs_FORWARD)
895 //if(WisF) cout<<"W is FORWARD"<<endl;
896 //else cout<<"W is REVERSED"<<endl;
897 // bool FisF = (F.Orientation()==TopAbs_FORWARD);
898 // if(!FisF) WisF = !WisF;
900 int i,j,geomFaceID = meshDS->ShapeToIndex( F );
902 int nb = quad->side[0]->NbPoints();
903 int nr = quad->side[1]->NbPoints();
904 int nt = quad->side[2]->NbPoints();
905 int nl = quad->side[3]->NbPoints();
911 // it is a base case => not shift quad but me be replacement is need
912 ShiftQuad(quad,0,WisF);
915 // we have to shift quad on 2
916 ShiftQuad(quad,2,WisF);
921 // we have to shift quad on 1
922 ShiftQuad(quad,1,WisF);
925 // we have to shift quad on 3
926 ShiftQuad(quad,3,WisF);
930 nb = quad->side[0]->NbPoints();
931 nr = quad->side[1]->NbPoints();
932 nt = quad->side[2]->NbPoints();
933 nl = quad->side[3]->NbPoints();
936 int nbh = Max(nb,nt);
937 int nbv = Max(nr,nl);
941 // orientation of face and 3 main domain for future faces
947 // left | | | | rigth
963 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0 );
964 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
965 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1 );
966 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
968 // arrays for normalized params
969 //cout<<"Dump B:"<<endl;
970 TColStd_SequenceOfReal npb, npr, npt, npl;
971 for(i=0; i<nb; i++) {
972 npb.Append(uv_eb[i].normParam);
973 //cout<<"i="<<i<<" par="<<uv_eb[i].normParam<<" npar="<<uv_eb[i].normParam;
974 //const SMDS_MeshNode* N = uv_eb[i].node;
975 //cout<<" node("<<N->X()<<","<<N->Y()<<","<<N->Z()<<")"<<endl;
977 for(i=0; i<nr; i++) {
978 npr.Append(uv_er[i].normParam);
980 for(i=0; i<nt; i++) {
981 npt.Append(uv_et[i].normParam);
983 for(i=0; i<nl; i++) {
984 npl.Append(uv_el[i].normParam);
987 // add some params to right and left after the first param
990 double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
991 for(i=1; i<=dr; i++) {
992 npr.InsertAfter(1,npr.Value(2)-dpr);
996 dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
997 for(i=1; i<=dl; i++) {
998 npl.InsertAfter(1,npl.Value(2)-dpr);
1001 //for(i=1; i<=npb.Length(); i++) {
1002 // cout<<" "<<npb.Value(i);
1006 gp_XY a0( uv_eb.front().u, uv_eb.front().v );
1007 gp_XY a1( uv_eb.back().u, uv_eb.back().v );
1008 gp_XY a2( uv_et.back().u, uv_et.back().v );
1009 gp_XY a3( uv_et.front().u, uv_et.front().v );
1010 //cout<<" a0("<<a0.X()<<","<<a0.Y()<<")"<<" a1("<<a1.X()<<","<<a1.Y()<<")"
1011 // <<" a2("<<a2.X()<<","<<a2.Y()<<")"<<" a3("<<a3.X()<<","<<a3.Y()<<")"<<endl;
1013 int nnn = Min(nr,nl);
1014 // auxilary sequence of XY for creation nodes
1015 // in the bottom part of central domain
1016 // it's length must be == nbv-nnn-1
1017 TColgp_SequenceOfXY UVL;
1018 TColgp_SequenceOfXY UVR;
1020 // step1: create faces for left domain
1021 StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
1023 for(j=1; j<=nl; j++)
1024 NodesL.SetValue(1,j,uv_el[j-1].node);
1027 for(i=1; i<=dl; i++)
1028 NodesL.SetValue(i+1,nl,uv_et[i].node);
1029 // create and add needed nodes
1030 TColgp_SequenceOfXY UVtmp;
1031 for(i=1; i<=dl; i++) {
1032 double x0 = npt.Value(i+1);
1035 double y0 = npl.Value(i+1);
1036 double y1 = npr.Value(i+1);
1037 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1038 gp_Pnt P = S->Value(UV.X(),UV.Y());
1039 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1040 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1041 NodesL.SetValue(i+1,1,N);
1042 if(UVL.Length()<nbv-nnn-1) UVL.Append(UV);
1044 for(j=2; j<nl; j++) {
1045 double y0 = npl.Value(dl+j);
1046 double y1 = npr.Value(dl+j);
1047 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1048 gp_Pnt P = S->Value(UV.X(),UV.Y());
1049 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1050 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1051 NodesL.SetValue(i+1,j,N);
1052 if( i==dl ) UVtmp.Append(UV);
1055 for(i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn-1; i++) {
1056 UVL.Append(UVtmp.Value(i));
1058 //cout<<"Dump NodesL:"<<endl;
1059 //for(i=1; i<=dl+1; i++) {
1061 // for(j=1; j<=nl; j++) {
1062 // cout<<" ("<<NodesL.Value(i,j)->X()<<","<<NodesL.Value(i,j)->Y()<<","<<NodesL.Value(i,j)->Z()<<")";
1067 for(i=1; i<=dl; i++) {
1068 for(j=1; j<nl; j++) {
1071 myTool->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
1072 NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
1073 meshDS->SetMeshElementOnShape(F, geomFaceID);
1077 myTool->AddFace(NodesL.Value(i,j), NodesL.Value(i,j+1),
1078 NodesL.Value(i+1,j+1), NodesL.Value(i+1,j));
1079 meshDS->SetMeshElementOnShape(F, geomFaceID);
1085 // fill UVL using c2d
1086 for(i=1; i<npl.Length() && UVL.Length()<nbv-nnn-1; i++) {
1087 UVL.Append( gp_UV ( uv_el[i].u, uv_el[i].v ));
1091 // step2: create faces for right domain
1092 StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
1094 for(j=1; j<=nr; j++)
1095 NodesR.SetValue(1,j,uv_er[nr-j].node);
1098 for(i=1; i<=dr; i++)
1099 NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
1100 // create and add needed nodes
1101 TColgp_SequenceOfXY UVtmp;
1102 for(i=1; i<=dr; i++) {
1103 double x0 = npt.Value(nt-i);
1106 double y0 = npl.Value(i+1);
1107 double y1 = npr.Value(i+1);
1108 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1109 gp_Pnt P = S->Value(UV.X(),UV.Y());
1110 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1111 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1112 NodesR.SetValue(i+1,nr,N);
1113 if(UVR.Length()<nbv-nnn-1) UVR.Append(UV);
1115 for(j=2; j<nr; j++) {
1116 double y0 = npl.Value(nbv-j+1);
1117 double y1 = npr.Value(nbv-j+1);
1118 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1119 gp_Pnt P = S->Value(UV.X(),UV.Y());
1120 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1121 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1122 NodesR.SetValue(i+1,j,N);
1123 if( i==dr ) UVtmp.Prepend(UV);
1126 for(i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn-1; i++) {
1127 UVR.Append(UVtmp.Value(i));
1130 for(i=1; i<=dr; i++) {
1131 for(j=1; j<nr; j++) {
1134 myTool->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
1135 NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
1136 meshDS->SetMeshElementOnShape(F, geomFaceID);
1140 myTool->AddFace(NodesR.Value(i,j), NodesR.Value(i,j+1),
1141 NodesR.Value(i+1,j+1), NodesR.Value(i+1,j));
1142 meshDS->SetMeshElementOnShape(F, geomFaceID);
1148 // fill UVR using c2d
1149 for(i=1; i<npr.Length() && UVR.Length()<nbv-nnn-1; i++) {
1150 UVR.Append( gp_UV( uv_er[i].u, uv_er[i].v ));
1154 // step3: create faces for central domain
1155 StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
1156 // add first string using NodesL
1157 for(i=1; i<=dl+1; i++)
1158 NodesC.SetValue(1,i,NodesL(i,1));
1159 for(i=2; i<=nl; i++)
1160 NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
1161 // add last string using NodesR
1162 for(i=1; i<=dr+1; i++)
1163 NodesC.SetValue(nb,i,NodesR(i,nr));
1165 NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
1166 // add top nodes (last columns)
1167 for(i=dl+2; i<nbh-dr; i++)
1168 NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
1169 // add bottom nodes (first columns)
1171 NodesC.SetValue(i,1,uv_eb[i-1].node);
1173 // create and add needed nodes
1174 // add linear layers
1175 for(i=2; i<nb; i++) {
1176 double x0 = npt.Value(dl+i);
1178 for(j=1; j<nnn; j++) {
1179 double y0 = npl.Value(nbv-nnn+j);
1180 double y1 = npr.Value(nbv-nnn+j);
1181 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1182 gp_Pnt P = S->Value(UV.X(),UV.Y());
1183 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1184 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1185 NodesC.SetValue(i,nbv-nnn+j,N);
1188 // add diagonal layers
1189 //cout<<"UVL.Length()="<<UVL.Length()<<" UVR.Length()="<<UVR.Length()<<endl;
1190 //cout<<"Dump UVL:"<<endl;
1191 //for(i=1; i<=UVL.Length(); i++) {
1192 // cout<<" ("<<UVL.Value(i).X()<<","<<UVL.Value(i).Y()<<")";
1195 for(i=1; i<nbv-nnn; i++) {
1196 double du = UVR.Value(i).X() - UVL.Value(i).X();
1197 double dv = UVR.Value(i).Y() - UVL.Value(i).Y();
1198 for(j=2; j<nb; j++) {
1199 double u = UVL.Value(i).X() + du*npb.Value(j);
1200 double v = UVL.Value(i).Y() + dv*npb.Value(j);
1201 gp_Pnt P = S->Value(u,v);
1202 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1203 meshDS->SetNodeOnFace(N, geomFaceID, u, v);
1204 NodesC.SetValue(j,i+1,N);
1208 for(i=1; i<nb; i++) {
1209 for(j=1; j<nbv; j++) {
1212 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
1213 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
1214 meshDS->SetMeshElementOnShape(F, geomFaceID);
1218 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i,j+1),
1219 NodesC.Value(i+1,j+1), NodesC.Value(i+1,j));
1220 meshDS->SetMeshElementOnShape(F, geomFaceID);