1 // Copyright (C) 2007-2010 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 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
22 // File : StdMeshers_Quadrangle_2D.cxx
23 // Author : Paul RASCLE, EDF
26 #include "StdMeshers_Quadrangle_2D.hxx"
28 #include "StdMeshers_FaceSide.hxx"
30 #include "StdMeshers_QuadrangleParams.hxx"
32 #include "SMESH_Gen.hxx"
33 #include "SMESH_Mesh.hxx"
34 #include "SMESH_subMesh.hxx"
35 #include "SMESH_MesherHelper.hxx"
36 #include "SMESH_Block.hxx"
37 #include "SMESH_Comment.hxx"
39 #include "SMDS_MeshElement.hxx"
40 #include "SMDS_MeshNode.hxx"
41 #include "SMDS_EdgePosition.hxx"
42 #include "SMDS_FacePosition.hxx"
44 #include <BRep_Tool.hxx>
45 #include <Geom_Surface.hxx>
46 #include <NCollection_DefineArray2.hxx>
47 #include <Precision.hxx>
48 #include <TColStd_SequenceOfReal.hxx>
49 #include <TColStd_SequenceOfInteger.hxx>
50 #include <TColgp_SequenceOfXY.hxx>
52 #include <TopExp_Explorer.hxx>
53 #include <TopTools_ListIteratorOfListOfShape.hxx>
54 #include <TopTools_MapOfShape.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,
81 : SMESH_2D_Algo(hypId, studyId, gen)
83 MESSAGE("StdMeshers_Quadrangle_2D::StdMeshers_Quadrangle_2D");
84 _name = "Quadrangle_2D";
85 _shapeType = (1 << TopAbs_FACE);
86 _compatibleHypothesis.push_back("QuadrangleParams");
87 _compatibleHypothesis.push_back("QuadranglePreference");
88 _compatibleHypothesis.push_back("TrianglePreference");
92 //=============================================================================
96 //=============================================================================
98 StdMeshers_Quadrangle_2D::~StdMeshers_Quadrangle_2D()
100 MESSAGE("StdMeshers_Quadrangle_2D::~StdMeshers_Quadrangle_2D");
103 //=============================================================================
107 //=============================================================================
109 bool StdMeshers_Quadrangle_2D::CheckHypothesis
111 const TopoDS_Shape& aShape,
112 SMESH_Hypothesis::Hypothesis_Status& aStatus)
115 aStatus = SMESH_Hypothesis::HYP_OK;
117 const list <const SMESHDS_Hypothesis * >& hyps =
118 GetUsedHypothesis(aMesh, aShape, false);
119 const SMESHDS_Hypothesis * aHyp = 0;
122 myQuadType = QUAD_STANDARD;
123 myQuadranglePreference = false;
124 myTrianglePreference = false;
126 bool isFirstParams = true;
128 // First assigned hypothesis (if any) is processed now
129 if (hyps.size() > 0) {
131 if (strcmp("QuadrangleParams", aHyp->GetName()) == 0) {
132 const StdMeshers_QuadrangleParams* aHyp1 =
133 (const StdMeshers_QuadrangleParams*)aHyp;
134 myTriaVertexID = aHyp1->GetTriaVertex();
135 myQuadType = aHyp1->GetQuadType();
136 if (myQuadType == QUAD_QUADRANGLE_PREF ||
137 myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
138 myQuadranglePreference = true;
139 else if (myQuadType == QUAD_TRIANGLE_PREF)
140 myTrianglePreference = true;
142 else if (strcmp("QuadranglePreference", aHyp->GetName()) == 0) {
143 isFirstParams = false;
144 myQuadranglePreference = true;
146 else if (strcmp("TrianglePreference", aHyp->GetName()) == 0){
147 isFirstParams = false;
148 myTrianglePreference = true;
151 isFirstParams = false;
155 // Second(last) assigned hypothesis (if any) is processed now
156 if (hyps.size() > 1) {
159 if (strcmp("QuadranglePreference", aHyp->GetName()) == 0) {
160 myQuadranglePreference = true;
161 myTrianglePreference = false;
162 myQuadType = QUAD_STANDARD;
164 else if (strcmp("TrianglePreference", aHyp->GetName()) == 0){
165 myQuadranglePreference = false;
166 myTrianglePreference = true;
167 myQuadType = QUAD_STANDARD;
171 const StdMeshers_QuadrangleParams* aHyp2 =
172 (const StdMeshers_QuadrangleParams*)aHyp;
173 myTriaVertexID = aHyp2->GetTriaVertex();
175 if (!myQuadranglePreference && !myTrianglePreference) { // priority of hypos
176 myQuadType = aHyp2->GetQuadType();
177 if (myQuadType == QUAD_QUADRANGLE_PREF ||
178 myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
179 myQuadranglePreference = true;
180 else if (myQuadType == QUAD_TRIANGLE_PREF)
181 myTrianglePreference = true;
189 //=============================================================================
193 //=============================================================================
195 bool StdMeshers_Quadrangle_2D::Compute (SMESH_Mesh& aMesh,
196 const TopoDS_Shape& aShape)// throw (SALOME_Exception)
198 // PAL14921. Enable catching std::bad_alloc and Standard_OutOfMemory outside
199 //Unexpect aCatchSalomeException);
201 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
202 aMesh.GetSubMesh(aShape);
204 SMESH_MesherHelper helper (aMesh);
207 _quadraticMesh = myHelper->IsQuadraticSubMesh(aShape);
208 myNeedSmooth = false;
210 FaceQuadStruct *quad = CheckNbEdges(aMesh, aShape);
211 std::auto_ptr<FaceQuadStruct> quadDeleter (quad); // to delete quad at exit from Compute()
215 if (myQuadranglePreference) {
216 int n1 = quad->side[0]->NbPoints();
217 int n2 = quad->side[1]->NbPoints();
218 int n3 = quad->side[2]->NbPoints();
219 int n4 = quad->side[3]->NbPoints();
220 int nfull = n1+n2+n3+n4;
223 if (nfull == ntmp && ((n1 != n3) || (n2 != n4))) {
224 // special path for using only quandrangle faces
225 bool ok = ComputeQuadPref(aMesh, aShape, quad);
226 if ( ok && myNeedSmooth )
231 else if (myQuadType == QUAD_REDUCED) {
232 int n1 = quad->side[0]->NbPoints();
233 int n2 = quad->side[1]->NbPoints();
234 int n3 = quad->side[2]->NbPoints();
235 int n4 = quad->side[3]->NbPoints();
238 int n13tmp = n13/2; n13tmp = n13tmp*2;
239 int n24tmp = n24/2; n24tmp = n24tmp*2;
240 if ((n1 == n3 && n2 != n4 && n24tmp == n24) ||
241 (n2 == n4 && n1 != n3 && n13tmp == n13)) {
242 bool ok = ComputeReduced(aMesh, aShape, quad);
243 if ( ok && myNeedSmooth )
249 // set normalized grid on unit square in parametric domain
251 if (!SetNormalizedGrid(aMesh, aShape, quad))
254 // --- compute 3D values on points, store points & quadrangles
256 int nbdown = quad->side[0]->NbPoints();
257 int nbup = quad->side[2]->NbPoints();
259 int nbright = quad->side[1]->NbPoints();
260 int nbleft = quad->side[3]->NbPoints();
262 int nbhoriz = Min(nbdown, nbup);
263 int nbvertic = Min(nbright, nbleft);
265 const TopoDS_Face& F = TopoDS::Face(aShape);
266 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
268 // internal mesh nodes
269 int i, j, geomFaceID = meshDS->ShapeToIndex(F);
270 for (i = 1; i < nbhoriz - 1; i++) {
271 for (j = 1; j < nbvertic - 1; j++) {
272 int ij = j * nbhoriz + i;
273 double u = quad->uv_grid[ij].u;
274 double v = quad->uv_grid[ij].v;
275 gp_Pnt P = S->Value(u, v);
276 SMDS_MeshNode * node = meshDS->AddNode(P.X(), P.Y(), P.Z());
277 meshDS->SetNodeOnFace(node, geomFaceID, u, v);
278 quad->uv_grid[ij].node = node;
285 // --.--.--.--.--.-- nbvertic
291 // ---.----.----.--- 0
292 // 0 > > > > > > > > nbhoriz
298 int iup = nbhoriz - 1;
299 if (quad->isEdgeOut[3]) { ilow++; } else { if (quad->isEdgeOut[1]) iup--; }
302 int jup = nbvertic - 1;
303 if (quad->isEdgeOut[0]) { jlow++; } else { if (quad->isEdgeOut[2]) jup--; }
305 // regular quadrangles
306 for (i = ilow; i < iup; i++) {
307 for (j = jlow; j < jup; j++) {
308 const SMDS_MeshNode *a, *b, *c, *d;
309 a = quad->uv_grid[j * nbhoriz + i].node;
310 b = quad->uv_grid[j * nbhoriz + i + 1].node;
311 c = quad->uv_grid[(j + 1) * nbhoriz + i + 1].node;
312 d = quad->uv_grid[(j + 1) * nbhoriz + i].node;
313 SMDS_MeshFace* face = myHelper->AddFace(a, b, c, d);
315 meshDS->SetMeshElementOnShape(face, geomFaceID);
320 const vector<UVPtStruct>& uv_e0 = quad->side[0]->GetUVPtStruct(true,0);
321 const vector<UVPtStruct>& uv_e1 = quad->side[1]->GetUVPtStruct(false,1);
322 const vector<UVPtStruct>& uv_e2 = quad->side[2]->GetUVPtStruct(true,1);
323 const vector<UVPtStruct>& uv_e3 = quad->side[3]->GetUVPtStruct(false,0);
325 if (uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty())
326 return error(COMPERR_BAD_INPUT_MESH);
328 double eps = Precision::Confusion();
330 // Boundary quadrangles
332 if (quad->isEdgeOut[0]) {
335 // |___|___|___|___|___|___|
337 // |___|___|___|___|___|___|
339 // |___|___|___|___|___|___| __ first row of the regular grid
340 // . . . . . . . . . __ down edge nodes
342 // >->->->->->->->->->->->-> -- direction of processing
344 int g = 0; // number of last processed node in the regular grid
346 // number of last node of the down edge to be processed
347 int stop = nbdown - 1;
348 // if right edge is out, we will stop at a node, previous to the last one
349 if (quad->isEdgeOut[1]) stop--;
351 // for each node of the down edge find nearest node
352 // in the first row of the regular grid and link them
353 for (i = 0; i < stop; i++) {
354 const SMDS_MeshNode *a, *b, *c, *d;
356 b = uv_e0[i + 1].node;
357 gp_Pnt pb (b->X(), b->Y(), b->Z());
359 // find node c in the regular grid, which will be linked with node b
362 // right bound reached, link with the rightmost node
364 c = quad->uv_grid[nbhoriz + iup].node;
367 // find in the grid node c, nearest to the b
368 double mind = RealLast();
369 for (int k = g; k <= iup; k++) {
371 const SMDS_MeshNode *nk;
372 if (k < ilow) // this can be, if left edge is out
373 nk = uv_e3[1].node; // get node from the left edge
375 nk = quad->uv_grid[nbhoriz + k].node; // get one of middle nodes
377 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
378 double dist = pb.Distance(pnk);
379 if (dist < mind - eps) {
389 if (near == g) { // make triangle
390 SMDS_MeshFace* face = myHelper->AddFace(a, b, c);
391 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
393 else { // make quadrangle
397 d = quad->uv_grid[nbhoriz + near - 1].node;
398 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
400 if (!myTrianglePreference){
401 SMDS_MeshFace* face = myHelper->AddFace(a, b, c, d);
402 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
405 SplitQuad(meshDS, geomFaceID, a, b, c, d);
408 // if node d is not at position g - make additional triangles
410 for (int k = near - 1; k > g; k--) {
411 c = quad->uv_grid[nbhoriz + k].node;
415 d = quad->uv_grid[nbhoriz + k - 1].node;
416 SMDS_MeshFace* face = myHelper->AddFace(a, c, d);
417 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
424 if (quad->isEdgeOut[2]) {
427 // <-<-<-<-<-<-<-<-<-<-<-<-< -- direction of processing
429 // . . . . . . . . . __ up edge nodes
430 // ___ ___ ___ ___ ___ ___ __ first row of the regular grid
432 // |___|___|___|___|___|___|
434 // |___|___|___|___|___|___|
437 int g = nbhoriz - 1; // last processed node in the regular grid
440 // if left edge is out, we will stop at a second node
441 if (quad->isEdgeOut[3]) stop++;
443 // for each node of the up edge find nearest node
444 // in the first row of the regular grid and link them
445 for (i = nbup - 1; i > stop; i--) {
446 const SMDS_MeshNode *a, *b, *c, *d;
448 b = uv_e2[i - 1].node;
449 gp_Pnt pb (b->X(), b->Y(), b->Z());
451 // find node c in the grid, which will be linked with node b
453 if (i == stop + 1) { // left bound reached, link with the leftmost node
454 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + ilow].node;
457 // find node c in the grid, nearest to the b
458 double mind = RealLast();
459 for (int k = g; k >= ilow; k--) {
460 const SMDS_MeshNode *nk;
462 nk = uv_e1[nbright - 2].node;
464 nk = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
465 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
466 double dist = pb.Distance(pnk);
467 if (dist < mind - eps) {
477 if (near == g) { // make triangle
478 SMDS_MeshFace* face = myHelper->AddFace(a, b, c);
479 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
481 else { // make quadrangle
483 d = uv_e1[nbright - 2].node;
485 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + near + 1].node;
486 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
487 if (!myTrianglePreference){
488 SMDS_MeshFace* face = myHelper->AddFace(a, b, c, d);
489 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
492 SplitQuad(meshDS, geomFaceID, a, b, c, d);
495 if (near + 1 < g) { // if d not is at g - make additional triangles
496 for (int k = near + 1; k < g; k++) {
497 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
499 d = uv_e1[nbright - 2].node;
501 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + k + 1].node;
502 SMDS_MeshFace* face = myHelper->AddFace(a, c, d);
503 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
512 // right or left boundary quadrangles
513 if (quad->isEdgeOut[1]) {
514 // MESSAGE("right edge is out");
515 int g = 0; // last processed node in the grid
516 int stop = nbright - 1;
517 if (quad->isEdgeOut[2]) stop--;
518 for (i = 0; i < stop; i++) {
519 const SMDS_MeshNode *a, *b, *c, *d;
521 b = uv_e1[i + 1].node;
522 gp_Pnt pb (b->X(), b->Y(), b->Z());
524 // find node c in the grid, nearest to the b
526 if (i == stop - 1) { // up bondary reached
527 c = quad->uv_grid[nbhoriz*(jup + 1) - 2].node;
530 double mind = RealLast();
531 for (int k = g; k <= jup; k++) {
532 const SMDS_MeshNode *nk;
534 nk = uv_e0[nbdown - 2].node;
536 nk = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
537 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
538 double dist = pb.Distance(pnk);
539 if (dist < mind - eps) {
549 if (near == g) { // make triangle
550 SMDS_MeshFace* face = myHelper->AddFace(a, b, c);
551 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
553 else { // make quadrangle
555 d = uv_e0[nbdown - 2].node;
557 d = quad->uv_grid[nbhoriz*near - 2].node;
558 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
560 if (!myTrianglePreference){
561 SMDS_MeshFace* face = myHelper->AddFace(a, b, c, d);
562 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
565 SplitQuad(meshDS, geomFaceID, a, b, c, d);
568 if (near - 1 > g) { // if d not is at g - make additional triangles
569 for (int k = near - 1; k > g; k--) {
570 c = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
572 d = uv_e0[nbdown - 2].node;
574 d = quad->uv_grid[nbhoriz*k - 2].node;
575 SMDS_MeshFace* face = myHelper->AddFace(a, c, d);
576 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
583 if (quad->isEdgeOut[3]) {
584 // MESSAGE("left edge is out");
585 int g = nbvertic - 1; // last processed node in the grid
587 if (quad->isEdgeOut[0]) stop++;
588 for (i = nbleft - 1; i > stop; i--) {
589 const SMDS_MeshNode *a, *b, *c, *d;
591 b = uv_e3[i - 1].node;
592 gp_Pnt pb (b->X(), b->Y(), b->Z());
594 // find node c in the grid, nearest to the b
596 if (i == stop + 1) { // down bondary reached
597 c = quad->uv_grid[nbhoriz*jlow + 1].node;
600 double mind = RealLast();
601 for (int k = g; k >= jlow; k--) {
602 const SMDS_MeshNode *nk;
606 nk = quad->uv_grid[nbhoriz*k + 1].node;
607 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
608 double dist = pb.Distance(pnk);
609 if (dist < mind - eps) {
619 if (near == g) { // make triangle
620 SMDS_MeshFace* face = myHelper->AddFace(a, b, c);
621 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
623 else { // make quadrangle
627 d = quad->uv_grid[nbhoriz*(near + 1) + 1].node;
628 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
629 if (!myTrianglePreference){
630 SMDS_MeshFace* face = myHelper->AddFace(a, b, c, d);
631 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
634 SplitQuad(meshDS, geomFaceID, a, b, c, d);
637 if (near + 1 < g) { // if d not is at g - make additional triangles
638 for (int k = near + 1; k < g; k++) {
639 c = quad->uv_grid[nbhoriz*k + 1].node;
643 d = quad->uv_grid[nbhoriz*(k + 1) + 1].node;
644 SMDS_MeshFace* face = myHelper->AddFace(a, c, d);
645 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
662 //=============================================================================
666 //=============================================================================
668 bool StdMeshers_Quadrangle_2D::Evaluate(SMESH_Mesh& aMesh,
669 const TopoDS_Shape& aShape,
670 MapShapeNbElems& aResMap)
673 aMesh.GetSubMesh(aShape);
675 std::vector<int> aNbNodes(4);
676 bool IsQuadratic = false;
677 if (!CheckNbEdgesForEvaluate(aMesh, aShape, aResMap, aNbNodes, IsQuadratic)) {
678 std::vector<int> aResVec(SMDSEntity_Last);
679 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aResVec[i] = 0;
680 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
681 aResMap.insert(std::make_pair(sm,aResVec));
682 SMESH_ComputeErrorPtr& smError = sm->GetComputeError();
683 smError.reset(new SMESH_ComputeError(COMPERR_ALGO_FAILED,"Submesh can not be evaluated",this));
687 if (myQuadranglePreference) {
688 int n1 = aNbNodes[0];
689 int n2 = aNbNodes[1];
690 int n3 = aNbNodes[2];
691 int n4 = aNbNodes[3];
692 int nfull = n1+n2+n3+n4;
695 if (nfull==ntmp && ((n1!=n3) || (n2!=n4))) {
696 // special path for using only quandrangle faces
697 return EvaluateQuadPref(aMesh, aShape, aNbNodes, aResMap, IsQuadratic);
702 int nbdown = aNbNodes[0];
703 int nbup = aNbNodes[2];
705 int nbright = aNbNodes[1];
706 int nbleft = aNbNodes[3];
708 int nbhoriz = Min(nbdown, nbup);
709 int nbvertic = Min(nbright, nbleft);
711 int dh = Max(nbdown, nbup) - nbhoriz;
712 int dv = Max(nbright, nbleft) - nbvertic;
719 int nbNodes = (nbhoriz-2)*(nbvertic-2);
720 //int nbFaces3 = dh + dv + kdh*(nbvertic-1)*2 + kdv*(nbhoriz-1)*2;
721 int nbFaces3 = dh + dv;
722 //if (kdh==1 && kdv==1) nbFaces3 -= 2;
723 //if (dh>0 && dv>0) nbFaces3 -= 2;
724 //int nbFaces4 = (nbhoriz-1-kdh)*(nbvertic-1-kdv);
725 int nbFaces4 = (nbhoriz-1)*(nbvertic-1);
727 std::vector<int> aVec(SMDSEntity_Last);
728 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aVec[i] = 0;
730 aVec[SMDSEntity_Quad_Triangle] = nbFaces3;
731 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces4;
732 int nbbndedges = nbdown + nbup + nbright + nbleft -4;
733 int nbintedges = (nbFaces4*4 + nbFaces3*3 - nbbndedges) / 2;
734 aVec[SMDSEntity_Node] = nbNodes + nbintedges;
735 if (aNbNodes.size()==5) {
736 aVec[SMDSEntity_Quad_Triangle] = nbFaces3 + aNbNodes[3] -1;
737 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces4 - aNbNodes[3] +1;
741 aVec[SMDSEntity_Node] = nbNodes;
742 aVec[SMDSEntity_Triangle] = nbFaces3;
743 aVec[SMDSEntity_Quadrangle] = nbFaces4;
744 if (aNbNodes.size()==5) {
745 aVec[SMDSEntity_Triangle] = nbFaces3 + aNbNodes[3] - 1;
746 aVec[SMDSEntity_Quadrangle] = nbFaces4 - aNbNodes[3] + 1;
749 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
750 aResMap.insert(std::make_pair(sm,aVec));
756 //================================================================================
758 * \brief Return true if only two given edges meat at their common vertex
760 //================================================================================
762 static bool twoEdgesMeatAtVertex(const TopoDS_Edge& e1,
763 const TopoDS_Edge& e2,
767 if (!TopExp::CommonVertex(e1, e2, v))
769 TopTools_ListIteratorOfListOfShape ancestIt(mesh.GetAncestors(v));
770 for (; ancestIt.More() ; ancestIt.Next())
771 if (ancestIt.Value().ShapeType() == TopAbs_EDGE)
772 if (!e1.IsSame(ancestIt.Value()) && !e2.IsSame(ancestIt.Value()))
777 //=============================================================================
781 //=============================================================================
783 FaceQuadStruct* StdMeshers_Quadrangle_2D::CheckNbEdges(SMESH_Mesh & aMesh,
784 const TopoDS_Shape & aShape)
785 //throw(SALOME_Exception)
787 TopoDS_Face F = TopoDS::Face(aShape);
788 if ( F.Orientation() >= TopAbs_INTERNAL ) F.Orientation( TopAbs_FORWARD );
789 const bool ignoreMediumNodes = _quadraticMesh;
791 // verify 1 wire only, with 4 edges
793 list< TopoDS_Edge > edges;
794 list< int > nbEdgesInWire;
795 int nbWire = SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
797 error(COMPERR_BAD_SHAPE, TComm("Wrong number of wires: ") << nbWire);
800 FaceQuadStruct* quad = new FaceQuadStruct;
802 quad->side.reserve(nbEdgesInWire.front());
806 list< TopoDS_Edge >::iterator edgeIt = edges.begin();
807 if (nbEdgesInWire.front() == 3) // exactly 3 edges
809 SMESH_Comment comment;
810 SMESHDS_Mesh* meshDS = aMesh.GetMeshDS();
811 if (myTriaVertexID == -1)
813 comment << "No Base vertex parameter provided for a trilateral geometrical face";
817 TopoDS_Vertex V = TopoDS::Vertex(meshDS->IndexToShape(myTriaVertexID));
819 TopoDS_Edge E1,E2,E3;
820 for (; edgeIt != edges.end(); ++edgeIt) {
821 TopoDS_Edge E = *edgeIt;
822 TopoDS_Vertex VF, VL;
823 TopExp::Vertices(E, VF, VL, true);
826 else if (VL.IsSame(V))
831 if (!E1.IsNull() && !E2.IsNull() && !E3.IsNull())
833 quad->side.push_back(new StdMeshers_FaceSide(F, E1, &aMesh, true, ignoreMediumNodes));
834 quad->side.push_back(new StdMeshers_FaceSide(F, E2, &aMesh, true, ignoreMediumNodes));
835 quad->side.push_back(new StdMeshers_FaceSide(F, E3, &aMesh, false,ignoreMediumNodes));
836 const vector<UVPtStruct>& UVPSleft = quad->side[0]->GetUVPtStruct(true,0);
837 /* vector<UVPtStruct>& UVPStop = */quad->side[1]->GetUVPtStruct(false,1);
838 /* vector<UVPtStruct>& UVPSright = */quad->side[2]->GetUVPtStruct(true,1);
839 const SMDS_MeshNode* aNode = UVPSleft[0].node;
840 gp_Pnt2d aPnt2d(UVPSleft[0].u, UVPSleft[0].v);
841 quad->side.push_back(new StdMeshers_FaceSide(aNode, aPnt2d, quad->side[1]));
845 comment << "Invalid Base vertex parameter: " << myTriaVertexID << " is not among [";
846 TopTools_MapOfShape vMap;
847 for (TopExp_Explorer v(aShape, TopAbs_VERTEX); v.More(); v.Next())
848 if (vMap.Add(v.Current()))
849 comment << meshDS->ShapeToIndex(v.Current()) << (vMap.Extent()==3 ? "]" : ", ");
855 else if (nbEdgesInWire.front() == 4) // exactly 4 edges
857 for (; edgeIt != edges.end(); ++edgeIt, nbSides++)
858 quad->side.push_back(new StdMeshers_FaceSide(F, *edgeIt, &aMesh,
859 nbSides<TOP_SIDE, ignoreMediumNodes));
861 else if (nbEdgesInWire.front() > 4) // more than 4 edges - try to unite some
863 list< TopoDS_Edge > sideEdges;
864 vector< int > degenSides;
865 while (!edges.empty()) {
867 sideEdges.splice(sideEdges.end(), edges, edges.begin()); // edges.front() -> sideEdges.end()
868 bool sameSide = true;
869 while (!edges.empty() && sameSide) {
870 sameSide = SMESH_Algo::IsContinuous(sideEdges.back(), edges.front());
872 sideEdges.splice(sideEdges.end(), edges, edges.begin());
874 if (nbSides == 0) { // go backward from the first edge
876 while (!edges.empty() && sameSide) {
877 sameSide = SMESH_Algo::IsContinuous(sideEdges.front(), edges.back());
879 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
882 if ( sideEdges.size() == 1 && BRep_Tool::Degenerated( sideEdges.front() ))
883 degenSides.push_back( nbSides );
885 quad->side.push_back(new StdMeshers_FaceSide(F, sideEdges, &aMesh,
886 nbSides<TOP_SIDE, ignoreMediumNodes));
889 if ( !degenSides.empty() && nbSides - degenSides.size() == 4 )
892 for ( unsigned i = TOP_SIDE; i < quad->side.size(); ++i )
893 quad->side[i]->Reverse();
895 for ( int i = degenSides.size()-1; i > -1; --i )
897 StdMeshers_FaceSide * & degenSide = quad->side[ degenSides[ i ]];
899 quad->side.erase( vector<StdMeshers_FaceSide*>::iterator( & degenSide ));
901 for ( unsigned i = TOP_SIDE; i < quad->side.size(); ++i )
902 quad->side[i]->Reverse();
904 nbSides -= degenSides.size();
906 // issue 20222. Try to unite only edges shared by two same faces
908 // delete found sides
909 { FaceQuadStruct cleaner(*quad); }
911 quad->side.reserve(nbEdgesInWire.front());
914 SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
915 while (!edges.empty()) {
917 sideEdges.splice(sideEdges.end(), edges, edges.begin());
918 bool sameSide = true;
919 while (!edges.empty() && sameSide) {
921 SMESH_Algo::IsContinuous(sideEdges.back(), edges.front()) &&
922 twoEdgesMeatAtVertex(sideEdges.back(), edges.front(), aMesh);
924 sideEdges.splice(sideEdges.end(), edges, edges.begin());
926 if (nbSides == 0) { // go backward from the first edge
928 while (!edges.empty() && sameSide) {
930 SMESH_Algo::IsContinuous(sideEdges.front(), edges.back()) &&
931 twoEdgesMeatAtVertex(sideEdges.front(), edges.back(), aMesh);
933 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
936 quad->side.push_back(new StdMeshers_FaceSide(F, sideEdges, &aMesh,
937 nbSides<TOP_SIDE, ignoreMediumNodes));
944 MESSAGE ("StdMeshers_Quadrangle_2D. Edge IDs of " << nbSides << " sides:\n");
945 for (int i = 0; i < nbSides; ++i) {
947 for (int e = 0; e < quad->side[i]->NbEdges(); ++e)
948 MESSAGE (myHelper->GetMeshDS()->ShapeToIndex(quad->side[i]->Edge(e)) << " ");
954 nbSides = nbEdgesInWire.front();
955 error(COMPERR_BAD_SHAPE, TComm("Face must have 4 sides but not ") << nbSides);
964 //=============================================================================
968 //=============================================================================
970 bool StdMeshers_Quadrangle_2D::CheckNbEdgesForEvaluate(SMESH_Mesh& aMesh,
971 const TopoDS_Shape & aShape,
972 MapShapeNbElems& aResMap,
973 std::vector<int>& aNbNodes,
977 const TopoDS_Face & F = TopoDS::Face(aShape);
979 // verify 1 wire only, with 4 edges
981 list< TopoDS_Edge > edges;
982 list< int > nbEdgesInWire;
983 int nbWire = SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
991 list< TopoDS_Edge >::iterator edgeIt = edges.begin();
992 SMESH_subMesh * sm = aMesh.GetSubMesh(*edgeIt);
993 MapShapeNbElemsItr anIt = aResMap.find(sm);
994 if (anIt==aResMap.end()) {
997 std::vector<int> aVec = (*anIt).second;
998 IsQuadratic = (aVec[SMDSEntity_Quad_Edge] > aVec[SMDSEntity_Edge]);
999 if (nbEdgesInWire.front() == 3) { // exactly 3 edges
1000 if (myTriaVertexID>0) {
1001 SMESHDS_Mesh* meshDS = aMesh.GetMeshDS();
1002 TopoDS_Vertex V = TopoDS::Vertex(meshDS->IndexToShape(myTriaVertexID));
1004 TopoDS_Edge E1,E2,E3;
1005 for (; edgeIt != edges.end(); ++edgeIt) {
1006 TopoDS_Edge E = TopoDS::Edge(*edgeIt);
1007 TopoDS_Vertex VF, VL;
1008 TopExp::Vertices(E, VF, VL, true);
1011 else if (VL.IsSame(V))
1016 SMESH_subMesh * sm = aMesh.GetSubMesh(E1);
1017 MapShapeNbElemsItr anIt = aResMap.find(sm);
1018 if (anIt==aResMap.end()) return false;
1019 std::vector<int> aVec = (*anIt).second;
1021 aNbNodes[0] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1023 aNbNodes[0] = aVec[SMDSEntity_Node] + 2;
1024 sm = aMesh.GetSubMesh(E2);
1025 anIt = aResMap.find(sm);
1026 if (anIt==aResMap.end()) return false;
1027 aVec = (*anIt).second;
1029 aNbNodes[1] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1031 aNbNodes[1] = aVec[SMDSEntity_Node] + 2;
1032 sm = aMesh.GetSubMesh(E3);
1033 anIt = aResMap.find(sm);
1034 if (anIt==aResMap.end()) return false;
1035 aVec = (*anIt).second;
1037 aNbNodes[2] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1039 aNbNodes[2] = aVec[SMDSEntity_Node] + 2;
1040 aNbNodes[3] = aNbNodes[1];
1046 if (nbEdgesInWire.front() == 4) { // exactly 4 edges
1047 for (; edgeIt != edges.end(); edgeIt++) {
1048 SMESH_subMesh * sm = aMesh.GetSubMesh(*edgeIt);
1049 MapShapeNbElemsItr anIt = aResMap.find(sm);
1050 if (anIt==aResMap.end()) {
1053 std::vector<int> aVec = (*anIt).second;
1055 aNbNodes[nbSides] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1057 aNbNodes[nbSides] = aVec[SMDSEntity_Node] + 2;
1061 else if (nbEdgesInWire.front() > 4) { // more than 4 edges - try to unite some
1062 list< TopoDS_Edge > sideEdges;
1063 while (!edges.empty()) {
1065 sideEdges.splice(sideEdges.end(), edges, edges.begin()); // edges.front() -> sideEdges.end()
1066 bool sameSide = true;
1067 while (!edges.empty() && sameSide) {
1068 sameSide = SMESH_Algo::IsContinuous(sideEdges.back(), edges.front());
1070 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1072 if (nbSides == 0) { // go backward from the first edge
1074 while (!edges.empty() && sameSide) {
1075 sameSide = SMESH_Algo::IsContinuous(sideEdges.front(), edges.back());
1077 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
1080 list<TopoDS_Edge>::iterator ite = sideEdges.begin();
1081 aNbNodes[nbSides] = 1;
1082 for (; ite!=sideEdges.end(); ite++) {
1083 SMESH_subMesh * sm = aMesh.GetSubMesh(*ite);
1084 MapShapeNbElemsItr anIt = aResMap.find(sm);
1085 if (anIt==aResMap.end()) {
1088 std::vector<int> aVec = (*anIt).second;
1090 aNbNodes[nbSides] += (aVec[SMDSEntity_Node]-1)/2 + 1;
1092 aNbNodes[nbSides] += aVec[SMDSEntity_Node] + 1;
1096 // issue 20222. Try to unite only edges shared by two same faces
1099 SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
1100 while (!edges.empty()) {
1102 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1103 bool sameSide = true;
1104 while (!edges.empty() && sameSide) {
1106 SMESH_Algo::IsContinuous(sideEdges.back(), edges.front()) &&
1107 twoEdgesMeatAtVertex(sideEdges.back(), edges.front(), aMesh);
1109 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1111 if (nbSides == 0) { // go backward from the first edge
1113 while (!edges.empty() && sameSide) {
1115 SMESH_Algo::IsContinuous(sideEdges.front(), edges.back()) &&
1116 twoEdgesMeatAtVertex(sideEdges.front(), edges.back(), aMesh);
1118 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
1121 list<TopoDS_Edge>::iterator ite = sideEdges.begin();
1122 aNbNodes[nbSides] = 1;
1123 for (; ite!=sideEdges.end(); ite++) {
1124 SMESH_subMesh * sm = aMesh.GetSubMesh(*ite);
1125 MapShapeNbElemsItr anIt = aResMap.find(sm);
1126 if (anIt==aResMap.end()) {
1129 std::vector<int> aVec = (*anIt).second;
1131 aNbNodes[nbSides] += (aVec[SMDSEntity_Node]-1)/2 + 1;
1133 aNbNodes[nbSides] += aVec[SMDSEntity_Node] + 1;
1141 nbSides = nbEdgesInWire.front();
1142 error(COMPERR_BAD_SHAPE, TComm("Face must have 4 sides but not ") << nbSides);
1150 //=============================================================================
1154 //=============================================================================
1156 FaceQuadStruct *StdMeshers_Quadrangle_2D::CheckAnd2Dcompute
1157 (SMESH_Mesh & aMesh,
1158 const TopoDS_Shape & aShape,
1159 const bool CreateQuadratic) //throw(SALOME_Exception)
1161 _quadraticMesh = CreateQuadratic;
1163 FaceQuadStruct *quad = CheckNbEdges(aMesh, aShape);
1165 if (!quad) return 0;
1167 // set normalized grid on unit square in parametric domain
1168 bool stat = SetNormalizedGrid(aMesh, aShape, quad);
1170 if (quad) delete quad;
1177 //=============================================================================
1181 //=============================================================================
1183 faceQuadStruct::~faceQuadStruct()
1185 for (int i = 0; i < side.size(); i++) {
1186 if (side[i]) delete side[i];
1188 if (uv_grid) delete [] uv_grid;
1192 inline const vector<UVPtStruct>& GetUVPtStructIn(FaceQuadStruct* quad, int i, int nbSeg)
1194 bool isXConst = (i == BOTTOM_SIDE || i == TOP_SIDE);
1195 double constValue = (i == BOTTOM_SIDE || i == LEFT_SIDE) ? 0 : 1;
1197 quad->isEdgeOut[i] ?
1198 quad->side[i]->SimulateUVPtStruct(nbSeg,isXConst,constValue) :
1199 quad->side[i]->GetUVPtStruct(isXConst,constValue);
1201 inline gp_UV CalcUV(double x, double y,
1202 const gp_UV& a0,const gp_UV& a1,const gp_UV& a2,const gp_UV& a3,
1203 const gp_UV& p0,const gp_UV& p1,const gp_UV& p2,const gp_UV& p3)
1206 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
1207 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
1211 //=============================================================================
1215 //=============================================================================
1217 bool StdMeshers_Quadrangle_2D::SetNormalizedGrid (SMESH_Mesh & aMesh,
1218 const TopoDS_Shape& aShape,
1219 FaceQuadStruct* & quad) //throw (SALOME_Exception)
1221 // Algorithme décrit dans "Génération automatique de maillages"
1222 // P.L. GEORGE, MASSON, § 6.4.1 p. 84-85
1223 // traitement dans le domaine paramétrique 2d u,v
1224 // transport - projection sur le carré unité
1226 // MESSAGE("StdMeshers_Quadrangle_2D::SetNormalizedGrid");
1227 // const TopoDS_Face& F = TopoDS::Face(aShape);
1229 // 1 --- find orientation of the 4 edges, by test on extrema
1232 // |<----north-2-------^ a3 -------------> a2
1234 // west-3 east-1 =right | |
1238 // v----south-0--------> a0 -------------> a1
1243 // 3 --- 2D normalized values on unit square [0..1][0..1]
1245 int nbhoriz = Min(quad->side[0]->NbPoints(), quad->side[2]->NbPoints());
1246 int nbvertic = Min(quad->side[1]->NbPoints(), quad->side[3]->NbPoints());
1248 quad->isEdgeOut[0] = (quad->side[0]->NbPoints() > quad->side[2]->NbPoints());
1249 quad->isEdgeOut[1] = (quad->side[1]->NbPoints() > quad->side[3]->NbPoints());
1250 quad->isEdgeOut[2] = (quad->side[2]->NbPoints() > quad->side[0]->NbPoints());
1251 quad->isEdgeOut[3] = (quad->side[3]->NbPoints() > quad->side[1]->NbPoints());
1253 UVPtStruct *uv_grid = quad->uv_grid = new UVPtStruct[nbvertic * nbhoriz];
1255 const vector<UVPtStruct>& uv_e0 = GetUVPtStructIn(quad, 0, nbhoriz - 1);
1256 const vector<UVPtStruct>& uv_e1 = GetUVPtStructIn(quad, 1, nbvertic - 1);
1257 const vector<UVPtStruct>& uv_e2 = GetUVPtStructIn(quad, 2, nbhoriz - 1);
1258 const vector<UVPtStruct>& uv_e3 = GetUVPtStructIn(quad, 3, nbvertic - 1);
1260 if (uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty())
1261 //return error("Can't find nodes on sides");
1262 return error(COMPERR_BAD_INPUT_MESH);
1265 UpdateDegenUV( quad );
1267 // nodes Id on "in" edges
1268 if (! quad->isEdgeOut[0]) {
1270 for (int i = 0; i < nbhoriz; i++) { // down
1271 int ij = j * nbhoriz + i;
1272 uv_grid[ij].node = uv_e0[i].node;
1275 if (! quad->isEdgeOut[1]) {
1276 int i = nbhoriz - 1;
1277 for (int j = 0; j < nbvertic; j++) { // right
1278 int ij = j * nbhoriz + i;
1279 uv_grid[ij].node = uv_e1[j].node;
1282 if (! quad->isEdgeOut[2]) {
1283 int j = nbvertic - 1;
1284 for (int i = 0; i < nbhoriz; i++) { // up
1285 int ij = j * nbhoriz + i;
1286 uv_grid[ij].node = uv_e2[i].node;
1289 if (! quad->isEdgeOut[3]) {
1291 for (int j = 0; j < nbvertic; j++) { // left
1292 int ij = j * nbhoriz + i;
1293 uv_grid[ij].node = uv_e3[j].node;
1297 // normalized 2d values on grid
1298 for (int i = 0; i < nbhoriz; i++) {
1299 for (int j = 0; j < nbvertic; j++) {
1300 int ij = j * nbhoriz + i;
1301 // --- droite i cste : x = x0 + y(x1-x0)
1302 double x0 = uv_e0[i].normParam; // bas - sud
1303 double x1 = uv_e2[i].normParam; // haut - nord
1304 // --- droite j cste : y = y0 + x(y1-y0)
1305 double y0 = uv_e3[j].normParam; // gauche-ouest
1306 double y1 = uv_e1[j].normParam; // droite - est
1307 // --- intersection : x=x0+(y0+x(y1-y0))(x1-x0)
1308 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
1309 double y = y0 + x * (y1 - y0);
1312 //MESSAGE("-xy-01 "<<x0<<" "<<x1<<" "<<y0<<" "<<y1);
1313 //MESSAGE("-xy-norm "<<i<<" "<<j<<" "<<x<<" "<<y);
1317 // 4 --- projection on 2d domain (u,v)
1318 gp_UV a0(uv_e0.front().u, uv_e0.front().v);
1319 gp_UV a1(uv_e0.back().u, uv_e0.back().v);
1320 gp_UV a2(uv_e2.back().u, uv_e2.back().v);
1321 gp_UV a3(uv_e2.front().u, uv_e2.front().v);
1323 for (int i = 0; i < nbhoriz; i++) {
1324 for (int j = 0; j < nbvertic; j++) {
1325 int ij = j * nbhoriz + i;
1326 double x = uv_grid[ij].x;
1327 double y = uv_grid[ij].y;
1328 double param_0 = uv_e0[0].normParam + x * (uv_e0.back().normParam - uv_e0[0].normParam); // sud
1329 double param_2 = uv_e2[0].normParam + x * (uv_e2.back().normParam - uv_e2[0].normParam); // nord
1330 double param_1 = uv_e1[0].normParam + y * (uv_e1.back().normParam - uv_e1[0].normParam); // est
1331 double param_3 = uv_e3[0].normParam + y * (uv_e3.back().normParam - uv_e3[0].normParam); // ouest
1333 //MESSAGE("params "<<param_0<<" "<<param_1<<" "<<param_2<<" "<<param_3);
1334 gp_UV p0 = quad->side[0]->Value2d(param_0).XY();
1335 gp_UV p1 = quad->side[1]->Value2d(param_1).XY();
1336 gp_UV p2 = quad->side[2]->Value2d(param_2).XY();
1337 gp_UV p3 = quad->side[3]->Value2d(param_3).XY();
1339 gp_UV uv = CalcUV(x,y, a0,a1,a2,a3, p0,p1,p2,p3);
1341 uv_grid[ij].u = uv.X();
1342 uv_grid[ij].v = uv.Y();
1348 //=======================================================================
1349 //function : ShiftQuad
1350 //purpose : auxilary function for ComputeQuadPref
1351 //=======================================================================
1353 static void ShiftQuad(FaceQuadStruct* quad, const int num, bool)
1355 StdMeshers_FaceSide* side[4] = { quad->side[0], quad->side[1], quad->side[2], quad->side[3] };
1356 for (int i = BOTTOM_SIDE; i < NB_SIDES; ++i) {
1357 int id = (i + num) % NB_SIDES;
1358 bool wasForward = (i < TOP_SIDE);
1359 bool newForward = (id < TOP_SIDE);
1360 if (wasForward != newForward)
1361 side[ i ]->Reverse();
1362 quad->side[ id ] = side[ i ];
1366 //=======================================================================
1368 //purpose : auxilary function for ComputeQuadPref
1369 //=======================================================================
1371 static gp_UV CalcUV(double x0, double x1, double y0, double y1,
1372 FaceQuadStruct* quad,
1373 const gp_UV& a0, const gp_UV& a1,
1374 const gp_UV& a2, const gp_UV& a3)
1376 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
1377 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
1378 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
1379 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
1381 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
1382 double y = y0 + x * (y1 - y0);
1384 double param_b = uv_eb[0].normParam + x * (uv_eb.back().normParam - uv_eb[0].normParam);
1385 double param_t = uv_et[0].normParam + x * (uv_et.back().normParam - uv_et[0].normParam);
1386 double param_r = uv_er[0].normParam + y * (uv_er.back().normParam - uv_er[0].normParam);
1387 double param_l = uv_el[0].normParam + y * (uv_el.back().normParam - uv_el[0].normParam);
1389 gp_UV p0 = quad->side[BOTTOM_SIDE]->Value2d(param_b).XY();
1390 gp_UV p1 = quad->side[RIGHT_SIDE ]->Value2d(param_r).XY();
1391 gp_UV p2 = quad->side[TOP_SIDE ]->Value2d(param_t).XY();
1392 gp_UV p3 = quad->side[LEFT_SIDE ]->Value2d(param_l).XY();
1394 gp_UV uv = CalcUV(x,y, a0,a1,a2,a3, p0,p1,p2,p3);
1399 //=======================================================================
1400 //function : CalcUV2
1401 //purpose : auxilary function for ComputeQuadPref
1402 //=======================================================================
1404 static gp_UV CalcUV2(double x, double y,
1405 FaceQuadStruct* quad,
1406 const gp_UV& a0, const gp_UV& a1,
1407 const gp_UV& a2, const gp_UV& a3)
1409 gp_UV p0 = quad->side[BOTTOM_SIDE]->Value2d(x).XY();
1410 gp_UV p1 = quad->side[RIGHT_SIDE ]->Value2d(y).XY();
1411 gp_UV p2 = quad->side[TOP_SIDE ]->Value2d(x).XY();
1412 gp_UV p3 = quad->side[LEFT_SIDE ]->Value2d(y).XY();
1414 gp_UV uv = CalcUV(x,y, a0,a1,a2,a3, p0,p1,p2,p3);
1420 //=======================================================================
1422 * Create only quandrangle faces
1424 //=======================================================================
1426 bool StdMeshers_Quadrangle_2D::ComputeQuadPref (SMESH_Mesh & aMesh,
1427 const TopoDS_Shape& aShape,
1428 FaceQuadStruct* quad)
1430 // Auxilary key in order to keep old variant
1431 // of meshing after implementation new variant
1432 // for bug 0016220 from Mantis.
1433 bool OldVersion = false;
1434 if (myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
1437 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
1438 const TopoDS_Face& F = TopoDS::Face(aShape);
1439 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
1441 int i,j,geomFaceID = meshDS->ShapeToIndex(F);
1443 int nb = quad->side[0]->NbPoints();
1444 int nr = quad->side[1]->NbPoints();
1445 int nt = quad->side[2]->NbPoints();
1446 int nl = quad->side[3]->NbPoints();
1447 int dh = abs(nb-nt);
1448 int dv = abs(nr-nl);
1452 // it is a base case => not shift quad but me be replacement is need
1453 ShiftQuad(quad,0,WisF);
1456 // we have to shift quad on 2
1457 ShiftQuad(quad,2,WisF);
1462 // we have to shift quad on 1
1463 ShiftQuad(quad,1,WisF);
1466 // we have to shift quad on 3
1467 ShiftQuad(quad,3,WisF);
1471 nb = quad->side[0]->NbPoints();
1472 nr = quad->side[1]->NbPoints();
1473 nt = quad->side[2]->NbPoints();
1474 nl = quad->side[3]->NbPoints();
1477 int nbh = Max(nb,nt);
1478 int nbv = Max(nr,nl);
1482 // ----------- Old version ---------------
1483 // orientation of face and 3 main domain for future faces
1489 // left | | | | rigth
1496 // ----------- New version ---------------
1497 // orientation of face and 3 main domain for future faces
1503 // left |/________\| rigth
1519 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
1520 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
1521 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
1522 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
1524 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
1525 return error(COMPERR_BAD_INPUT_MESH);
1528 UpdateDegenUV( quad );
1530 // arrays for normalized params
1531 //cout<<"Dump B:"<<endl;
1532 TColStd_SequenceOfReal npb, npr, npt, npl;
1533 for (i=0; i<nb; i++) {
1534 npb.Append(uv_eb[i].normParam);
1535 //cout<<"i="<<i<<" par="<<uv_eb[i].normParam<<" npar="<<uv_eb[i].normParam;
1536 //const SMDS_MeshNode* N = uv_eb[i].node;
1537 //cout<<" node("<<N->X()<<","<<N->Y()<<","<<N->Z()<<")"<<endl;
1539 for (i=0; i<nr; i++) {
1540 npr.Append(uv_er[i].normParam);
1542 for (i=0; i<nt; i++) {
1543 npt.Append(uv_et[i].normParam);
1545 for (i=0; i<nl; i++) {
1546 npl.Append(uv_el[i].normParam);
1551 // add some params to right and left after the first param
1554 double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
1555 for (i=1; i<=dr; i++) {
1556 npr.InsertAfter(1,npr.Value(2)-dpr);
1560 dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
1561 for (i=1; i<=dl; i++) {
1562 npl.InsertAfter(1,npl.Value(2)-dpr);
1566 //for (i=1; i<=npb.Length(); i++) {
1567 // cout<<" "<<npb.Value(i);
1571 gp_XY a0(uv_eb.front().u, uv_eb.front().v);
1572 gp_XY a1(uv_eb.back().u, uv_eb.back().v);
1573 gp_XY a2(uv_et.back().u, uv_et.back().v);
1574 gp_XY a3(uv_et.front().u, uv_et.front().v);
1575 //cout<<" a0("<<a0.X()<<","<<a0.Y()<<")"<<" a1("<<a1.X()<<","<<a1.Y()<<")"
1576 // <<" a2("<<a2.X()<<","<<a2.Y()<<")"<<" a3("<<a3.X()<<","<<a3.Y()<<")"<<endl;
1578 int nnn = Min(nr,nl);
1579 // auxilary sequence of XY for creation nodes
1580 // in the bottom part of central domain
1581 // Length of UVL and UVR must be == nbv-nnn
1582 TColgp_SequenceOfXY UVL, UVR, UVT;
1585 // step1: create faces for left domain
1586 StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
1588 for (j=1; j<=nl; j++)
1589 NodesL.SetValue(1,j,uv_el[j-1].node);
1592 for (i=1; i<=dl; i++)
1593 NodesL.SetValue(i+1,nl,uv_et[i].node);
1594 // create and add needed nodes
1595 TColgp_SequenceOfXY UVtmp;
1596 for (i=1; i<=dl; i++) {
1597 double x0 = npt.Value(i+1);
1600 double y0 = npl.Value(i+1);
1601 double y1 = npr.Value(i+1);
1602 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1603 gp_Pnt P = S->Value(UV.X(),UV.Y());
1604 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1605 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1606 NodesL.SetValue(i+1,1,N);
1607 if (UVL.Length()<nbv-nnn) UVL.Append(UV);
1609 for (j=2; j<nl; j++) {
1610 double y0 = npl.Value(dl+j);
1611 double y1 = npr.Value(dl+j);
1612 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1613 gp_Pnt P = S->Value(UV.X(),UV.Y());
1614 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1615 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1616 NodesL.SetValue(i+1,j,N);
1617 if (i==dl) UVtmp.Append(UV);
1620 for (i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn; i++) {
1621 UVL.Append(UVtmp.Value(i));
1623 //cout<<"Dump NodesL:"<<endl;
1624 //for (i=1; i<=dl+1; i++) {
1626 // for (j=1; j<=nl; j++) {
1627 // cout<<" ("<<NodesL.Value(i,j)->X()<<","<<NodesL.Value(i,j)->Y()<<","<<NodesL.Value(i,j)->Z()<<")";
1632 for (i=1; i<=dl; i++) {
1633 for (j=1; j<nl; j++) {
1636 myHelper->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
1637 NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
1638 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1642 myHelper->AddFace(NodesL.Value(i,j), NodesL.Value(i,j+1),
1643 NodesL.Value(i+1,j+1), NodesL.Value(i+1,j));
1644 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1650 // fill UVL using c2d
1651 for (i=1; i<npl.Length() && UVL.Length()<nbv-nnn; i++) {
1652 UVL.Append(gp_UV (uv_el[i].u, uv_el[i].v));
1656 // step2: create faces for right domain
1657 StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
1659 for (j=1; j<=nr; j++)
1660 NodesR.SetValue(1,j,uv_er[nr-j].node);
1663 for (i=1; i<=dr; i++)
1664 NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
1665 // create and add needed nodes
1666 TColgp_SequenceOfXY UVtmp;
1667 for (i=1; i<=dr; i++) {
1668 double x0 = npt.Value(nt-i);
1671 double y0 = npl.Value(i+1);
1672 double y1 = npr.Value(i+1);
1673 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1674 gp_Pnt P = S->Value(UV.X(),UV.Y());
1675 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1676 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1677 NodesR.SetValue(i+1,nr,N);
1678 if (UVR.Length()<nbv-nnn) UVR.Append(UV);
1680 for (j=2; j<nr; j++) {
1681 double y0 = npl.Value(nbv-j+1);
1682 double y1 = npr.Value(nbv-j+1);
1683 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1684 gp_Pnt P = S->Value(UV.X(),UV.Y());
1685 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1686 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1687 NodesR.SetValue(i+1,j,N);
1688 if (i==dr) UVtmp.Prepend(UV);
1691 for (i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn; i++) {
1692 UVR.Append(UVtmp.Value(i));
1695 for (i=1; i<=dr; i++) {
1696 for (j=1; j<nr; j++) {
1699 myHelper->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
1700 NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
1701 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1705 myHelper->AddFace(NodesR.Value(i,j), NodesR.Value(i,j+1),
1706 NodesR.Value(i+1,j+1), NodesR.Value(i+1,j));
1707 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1713 // fill UVR using c2d
1714 for (i=1; i<npr.Length() && UVR.Length()<nbv-nnn; i++) {
1715 UVR.Append(gp_UV(uv_er[i].u, uv_er[i].v));
1719 // step3: create faces for central domain
1720 StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
1721 // add first line using NodesL
1722 for (i=1; i<=dl+1; i++)
1723 NodesC.SetValue(1,i,NodesL(i,1));
1724 for (i=2; i<=nl; i++)
1725 NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
1726 // add last line using NodesR
1727 for (i=1; i<=dr+1; i++)
1728 NodesC.SetValue(nb,i,NodesR(i,nr));
1729 for (i=1; i<nr; i++)
1730 NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
1731 // add top nodes (last columns)
1732 for (i=dl+2; i<nbh-dr; i++)
1733 NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
1734 // add bottom nodes (first columns)
1735 for (i=2; i<nb; i++)
1736 NodesC.SetValue(i,1,uv_eb[i-1].node);
1738 // create and add needed nodes
1739 // add linear layers
1740 for (i=2; i<nb; i++) {
1741 double x0 = npt.Value(dl+i);
1743 for (j=1; j<nnn; j++) {
1744 double y0 = npl.Value(nbv-nnn+j);
1745 double y1 = npr.Value(nbv-nnn+j);
1746 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1747 gp_Pnt P = S->Value(UV.X(),UV.Y());
1748 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1749 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1750 NodesC.SetValue(i,nbv-nnn+j,N);
1755 // add diagonal layers
1756 //cout<<"UVL.Length()="<<UVL.Length()<<" UVR.Length()="<<UVR.Length()<<endl;
1757 //cout<<"Dump UVL:"<<endl;
1758 //for (i=1; i<=UVL.Length(); i++) {
1759 // cout<<" ("<<UVL.Value(i).X()<<","<<UVL.Value(i).Y()<<")";
1762 gp_UV A2 = UVR.Value(nbv-nnn);
1763 gp_UV A3 = UVL.Value(nbv-nnn);
1764 for (i=1; i<nbv-nnn; i++) {
1765 gp_UV p1 = UVR.Value(i);
1766 gp_UV p3 = UVL.Value(i);
1767 double y = i / double(nbv-nnn);
1768 for (j=2; j<nb; j++) {
1769 double x = npb.Value(j);
1770 gp_UV p0( uv_eb[j-1].u, uv_eb[j-1].v );
1771 gp_UV p2 = UVT.Value( j-1 );
1772 gp_UV UV = CalcUV(x, y, a0, a1, A2, A3, p0,p1,p2,p3 );
1773 gp_Pnt P = S->Value(UV.X(),UV.Y());
1774 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1775 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(),UV.Y());
1776 NodesC.SetValue(j,i+1,N);
1780 for (i=1; i<nb; i++) {
1781 for (j=1; j<nbv; j++) {
1784 myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
1785 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
1786 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1790 myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i,j+1),
1791 NodesC.Value(i+1,j+1), NodesC.Value(i+1,j));
1792 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1798 else { // New version (!OldVersion)
1799 // step1: create faces for bottom rectangle domain
1800 StdMeshers_Array2OfNode NodesBRD(1,nb,1,nnn-1);
1801 // fill UVL and UVR using c2d
1802 for (j=0; j<nb; j++) {
1803 NodesBRD.SetValue(j+1,1,uv_eb[j].node);
1805 for (i=1; i<nnn-1; i++) {
1806 NodesBRD.SetValue(1,i+1,uv_el[i].node);
1807 NodesBRD.SetValue(nb,i+1,uv_er[i].node);
1808 for (j=2; j<nb; j++) {
1809 double x = npb.Value(j);
1810 double y = (1-x) * npl.Value(i+1) + x * npr.Value(i+1);
1811 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1812 gp_Pnt P = S->Value(UV.X(),UV.Y());
1813 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1814 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(),UV.Y());
1815 NodesBRD.SetValue(j,i+1,N);
1818 for (j=1; j<nnn-1; j++) {
1819 for (i=1; i<nb; i++) {
1822 myHelper->AddFace(NodesBRD.Value(i,j), NodesBRD.Value(i+1,j),
1823 NodesBRD.Value(i+1,j+1), NodesBRD.Value(i,j+1));
1824 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1828 myHelper->AddFace(NodesBRD.Value(i,j), NodesBRD.Value(i,j+1),
1829 NodesBRD.Value(i+1,j+1), NodesBRD.Value(i+1,j));
1830 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1834 int drl = abs(nr-nl);
1835 // create faces for region C
1836 StdMeshers_Array2OfNode NodesC(1,nb,1,drl+1+addv);
1837 // add nodes from previous region
1838 for (j=1; j<=nb; j++) {
1839 NodesC.SetValue(j,1,NodesBRD.Value(j,nnn-1));
1841 if ((drl+addv) > 0) {
1846 TColgp_SequenceOfXY UVtmp;
1847 double drparam = npr.Value(nr) - npr.Value(nnn-1);
1848 double dlparam = npl.Value(nnn) - npl.Value(nnn-1);
1850 for (i=1; i<=drl; i++) {
1851 // add existed nodes from right edge
1852 NodesC.SetValue(nb,i+1,uv_er[nnn+i-2].node);
1853 //double dtparam = npt.Value(i+1);
1854 y1 = npr.Value(nnn+i-1); // param on right edge
1855 double dpar = (y1 - npr.Value(nnn-1))/drparam;
1856 y0 = npl.Value(nnn-1) + dpar*dlparam; // param on left edge
1857 double dy = y1 - y0;
1858 for (j=1; j<nb; j++) {
1859 double x = npt.Value(i+1) + npb.Value(j)*(1-npt.Value(i+1));
1860 double y = y0 + dy*x;
1861 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1862 gp_Pnt P = S->Value(UV.X(),UV.Y());
1863 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1864 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1865 NodesC.SetValue(j,i+1,N);
1868 double dy0 = (1-y0)/(addv+1);
1869 double dy1 = (1-y1)/(addv+1);
1870 for (i=1; i<=addv; i++) {
1871 double yy0 = y0 + dy0*i;
1872 double yy1 = y1 + dy1*i;
1873 double dyy = yy1 - yy0;
1874 for (j=1; j<=nb; j++) {
1875 double x = npt.Value(i+1+drl) +
1876 npb.Value(j) * (npt.Value(nt-i) - npt.Value(i+1+drl));
1877 double y = yy0 + dyy*x;
1878 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1879 gp_Pnt P = S->Value(UV.X(),UV.Y());
1880 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1881 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1882 NodesC.SetValue(j,i+drl+1,N);
1889 TColgp_SequenceOfXY UVtmp;
1890 double dlparam = npl.Value(nl) - npl.Value(nnn-1);
1891 double drparam = npr.Value(nnn) - npr.Value(nnn-1);
1892 double y0 = npl.Value(nnn-1);
1893 double y1 = npr.Value(nnn-1);
1894 for (i=1; i<=drl; i++) {
1895 // add existed nodes from right edge
1896 NodesC.SetValue(1,i+1,uv_el[nnn+i-2].node);
1897 y0 = npl.Value(nnn+i-1); // param on left edge
1898 double dpar = (y0 - npl.Value(nnn-1))/dlparam;
1899 y1 = npr.Value(nnn-1) + dpar*drparam; // param on right edge
1900 double dy = y1 - y0;
1901 for (j=2; j<=nb; j++) {
1902 double x = npb.Value(j)*npt.Value(nt-i);
1903 double y = y0 + dy*x;
1904 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1905 gp_Pnt P = S->Value(UV.X(),UV.Y());
1906 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1907 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1908 NodesC.SetValue(j,i+1,N);
1911 double dy0 = (1-y0)/(addv+1);
1912 double dy1 = (1-y1)/(addv+1);
1913 for (i=1; i<=addv; i++) {
1914 double yy0 = y0 + dy0*i;
1915 double yy1 = y1 + dy1*i;
1916 double dyy = yy1 - yy0;
1917 for (j=1; j<=nb; j++) {
1918 double x = npt.Value(i+1) +
1919 npb.Value(j) * (npt.Value(nt-i-drl) - npt.Value(i+1));
1920 double y = yy0 + dyy*x;
1921 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1922 gp_Pnt P = S->Value(UV.X(),UV.Y());
1923 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1924 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1925 NodesC.SetValue(j,i+drl+1,N);
1930 for (j=1; j<=drl+addv; j++) {
1931 for (i=1; i<nb; i++) {
1934 myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
1935 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
1936 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1940 myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i,j+1),
1941 NodesC.Value(i+1,j+1), NodesC.Value(i+1,j));
1942 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1947 StdMeshers_Array2OfNode NodesLast(1,nt,1,2);
1948 for (i=1; i<=nt; i++) {
1949 NodesLast.SetValue(i,2,uv_et[i-1].node);
1952 for (i=n1; i<drl+addv+1; i++) {
1954 NodesLast.SetValue(nnn,1,NodesC.Value(1,i));
1956 for (i=1; i<=nb; i++) {
1958 NodesLast.SetValue(nnn,1,NodesC.Value(i,drl+addv+1));
1960 for (i=drl+addv; i>=n2; i--) {
1962 NodesLast.SetValue(nnn,1,NodesC.Value(nb,i));
1964 for (i=1; i<nt; i++) {
1967 myHelper->AddFace(NodesLast.Value(i,1), NodesLast.Value(i+1,1),
1968 NodesLast.Value(i+1,2), NodesLast.Value(i,2));
1969 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1973 myHelper->AddFace(NodesLast.Value(i,1), NodesLast.Value(i,2),
1974 NodesLast.Value(i+1,2), NodesLast.Value(i+1,2));
1975 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1978 } // if ((drl+addv) > 0)
1980 } // end new version implementation
1987 //=======================================================================
1989 * Evaluate only quandrangle faces
1991 //=======================================================================
1993 bool StdMeshers_Quadrangle_2D::EvaluateQuadPref(SMESH_Mesh & aMesh,
1994 const TopoDS_Shape& aShape,
1995 std::vector<int>& aNbNodes,
1996 MapShapeNbElems& aResMap,
1999 // Auxilary key in order to keep old variant
2000 // of meshing after implementation new variant
2001 // for bug 0016220 from Mantis.
2002 bool OldVersion = false;
2003 if (myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
2006 const TopoDS_Face& F = TopoDS::Face(aShape);
2007 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
2009 int nb = aNbNodes[0];
2010 int nr = aNbNodes[1];
2011 int nt = aNbNodes[2];
2012 int nl = aNbNodes[3];
2013 int dh = abs(nb-nt);
2014 int dv = abs(nr-nl);
2018 // it is a base case => not shift
2021 // we have to shift on 2
2030 // we have to shift quad on 1
2037 // we have to shift quad on 3
2047 int nbh = Max(nb,nt);
2048 int nbv = Max(nr,nl);
2063 // add some params to right and left after the first param
2070 int nnn = Min(nr,nl);
2075 // step1: create faces for left domain
2077 nbNodes += dl*(nl-1);
2078 nbFaces += dl*(nl-1);
2080 // step2: create faces for right domain
2082 nbNodes += dr*(nr-1);
2083 nbFaces += dr*(nr-1);
2085 // step3: create faces for central domain
2086 nbNodes += (nb-2)*(nnn-1) + (nbv-nnn-1)*(nb-2);
2087 nbFaces += (nb-1)*(nbv-1);
2089 else { // New version (!OldVersion)
2090 nbNodes += (nnn-2)*(nb-2);
2091 nbFaces += (nnn-2)*(nb-1);
2092 int drl = abs(nr-nl);
2093 nbNodes += drl*(nb-1) + addv*nb;
2094 nbFaces += (drl+addv)*(nb-1) + (nt-1);
2095 } // end new version implementation
2097 std::vector<int> aVec(SMDSEntity_Last);
2098 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aVec[i] = 0;
2100 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces;
2101 aVec[SMDSEntity_Node] = nbNodes + nbFaces*4;
2102 if (aNbNodes.size()==5) {
2103 aVec[SMDSEntity_Quad_Triangle] = aNbNodes[3] - 1;
2104 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces - aNbNodes[3] + 1;
2108 aVec[SMDSEntity_Node] = nbNodes;
2109 aVec[SMDSEntity_Quadrangle] = nbFaces;
2110 if (aNbNodes.size()==5) {
2111 aVec[SMDSEntity_Triangle] = aNbNodes[3] - 1;
2112 aVec[SMDSEntity_Quadrangle] = nbFaces - aNbNodes[3] + 1;
2115 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
2116 aResMap.insert(std::make_pair(sm,aVec));
2122 //=============================================================================
2123 /*! Split quadrangle in to 2 triangles by smallest diagonal
2126 //=============================================================================
2127 void StdMeshers_Quadrangle_2D::SplitQuad(SMESHDS_Mesh *theMeshDS,
2129 const SMDS_MeshNode* theNode1,
2130 const SMDS_MeshNode* theNode2,
2131 const SMDS_MeshNode* theNode3,
2132 const SMDS_MeshNode* theNode4)
2134 gp_Pnt a(theNode1->X(),theNode1->Y(),theNode1->Z());
2135 gp_Pnt b(theNode2->X(),theNode2->Y(),theNode2->Z());
2136 gp_Pnt c(theNode3->X(),theNode3->Y(),theNode3->Z());
2137 gp_Pnt d(theNode4->X(),theNode4->Y(),theNode4->Z());
2138 SMDS_MeshFace* face;
2139 if (a.Distance(c) > b.Distance(d)){
2140 face = myHelper->AddFace(theNode2, theNode4 , theNode1);
2141 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2142 face = myHelper->AddFace(theNode2, theNode3, theNode4);
2143 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2147 face = myHelper->AddFace(theNode1, theNode2 ,theNode3);
2148 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2149 face = myHelper->AddFace(theNode1, theNode3, theNode4);
2150 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2154 //=======================================================================
2156 * Implementation of Reduced algorithm (meshing with quadrangles only)
2158 //=======================================================================
2159 bool StdMeshers_Quadrangle_2D::ComputeReduced (SMESH_Mesh & aMesh,
2160 const TopoDS_Shape& aShape,
2161 FaceQuadStruct* quad)
2163 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
2164 const TopoDS_Face& F = TopoDS::Face(aShape);
2165 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
2166 int i,j,geomFaceID = meshDS->ShapeToIndex(F);
2168 int nb = quad->side[0]->NbPoints();
2169 int nr = quad->side[1]->NbPoints();
2170 int nt = quad->side[2]->NbPoints();
2171 int nl = quad->side[3]->NbPoints();
2173 // Simple Reduce 8->6->4->2 (3 steps) Multiple Reduce 8->2 (1 step)
2175 // .-----.-----.-----.-----. .-----.-----.-----.-----.
2176 // | / \ | / \ | | / \ | / \ |
2177 // | / .--.--. \ | | / \ | / \ |
2178 // | / / | \ \ | | / .----.----. \ |
2179 // .---.---.---.---.---.---. | / / \ | / \ \ |
2180 // | / / \ | / \ \ | | / / \ | / \ \ |
2181 // | / / .-.-. \ \ | | / / .---.---. \ \ |
2182 // | / / / | \ \ \ | | / / / \ | / \ \ \ |
2183 // .--.--.--.--.--.--.--.--. | / / / \ | / \ \ \ |
2184 // | / / / \ | / \ \ \ | | / / / .-.-. \ \ \ |
2185 // | / / / .-.-. \ \ \ | | / / / / | \ \ \ \ |
2186 // | / / / / | \ \ \ \ | | / / / / | \ \ \ \ |
2187 // .-.-.-.--.--.--.--.-.-.-. .-.-.-.--.--.--.--.-.-.-.
2189 bool MultipleReduce = false;
2201 else if (nb == nt) {
2202 nr1 = nb; // and == nt
2216 // number of rows and columns
2217 int nrows = nr1 - 1;
2218 int ncol_top = nt1 - 1;
2219 int ncol_bot = nb1 - 1;
2220 // maximum number of bottom elements for "tree" simple reduce 3->1
2221 int max_tree31 = ncol_top * pow(3.0, nrows);
2222 if (ncol_bot > max_tree31)
2223 MultipleReduce = true;
2226 if (MultipleReduce) { // == ComputeQuadPref QUAD_QUADRANGLE_PREF_REVERSED
2227 //==================================================
2228 int dh = abs(nb-nt);
2229 int dv = abs(nr-nl);
2233 // it is a base case => not shift quad but may be replacement is need
2234 ShiftQuad(quad,0,true);
2237 // we have to shift quad on 2
2238 ShiftQuad(quad,2,true);
2243 // we have to shift quad on 1
2244 ShiftQuad(quad,1,true);
2247 // we have to shift quad on 3
2248 ShiftQuad(quad,3,true);
2252 nb = quad->side[0]->NbPoints();
2253 nr = quad->side[1]->NbPoints();
2254 nt = quad->side[2]->NbPoints();
2255 nl = quad->side[3]->NbPoints();
2258 int nbh = Max(nb,nt);
2259 int nbv = Max(nr,nl);
2272 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
2273 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
2274 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
2275 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
2277 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
2278 return error(COMPERR_BAD_INPUT_MESH);
2281 UpdateDegenUV( quad );
2283 // arrays for normalized params
2284 TColStd_SequenceOfReal npb, npr, npt, npl;
2285 for (j = 0; j < nb; j++) {
2286 npb.Append(uv_eb[j].normParam);
2288 for (i = 0; i < nr; i++) {
2289 npr.Append(uv_er[i].normParam);
2291 for (j = 0; j < nt; j++) {
2292 npt.Append(uv_et[j].normParam);
2294 for (i = 0; i < nl; i++) {
2295 npl.Append(uv_el[i].normParam);
2299 // orientation of face and 3 main domain for future faces
2305 // left | | | | rigth
2312 // add some params to right and left after the first param
2315 double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
2316 for (i=1; i<=dr; i++) {
2317 npr.InsertAfter(1,npr.Value(2)-dpr);
2321 dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
2322 for (i=1; i<=dl; i++) {
2323 npl.InsertAfter(1,npl.Value(2)-dpr);
2326 gp_XY a0 (uv_eb.front().u, uv_eb.front().v);
2327 gp_XY a1 (uv_eb.back().u, uv_eb.back().v);
2328 gp_XY a2 (uv_et.back().u, uv_et.back().v);
2329 gp_XY a3 (uv_et.front().u, uv_et.front().v);
2331 int nnn = Min(nr,nl);
2332 // auxilary sequence of XY for creation nodes
2333 // in the bottom part of central domain
2334 // it's length must be == nbv-nnn-1
2335 TColgp_SequenceOfXY UVL;
2336 TColgp_SequenceOfXY UVR;
2337 //==================================================
2339 // step1: create faces for left domain
2340 StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
2342 for (j=1; j<=nl; j++)
2343 NodesL.SetValue(1,j,uv_el[j-1].node);
2346 for (i=1; i<=dl; i++)
2347 NodesL.SetValue(i+1,nl,uv_et[i].node);
2348 // create and add needed nodes
2349 TColgp_SequenceOfXY UVtmp;
2350 for (i=1; i<=dl; i++) {
2351 double x0 = npt.Value(i+1);
2354 double y0 = npl.Value(i+1);
2355 double y1 = npr.Value(i+1);
2356 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2357 gp_Pnt P = S->Value(UV.X(),UV.Y());
2358 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2359 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2360 NodesL.SetValue(i+1,1,N);
2361 if (UVL.Length()<nbv-nnn-1) UVL.Append(UV);
2363 for (j=2; j<nl; j++) {
2364 double y0 = npl.Value(dl+j);
2365 double y1 = npr.Value(dl+j);
2366 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2367 gp_Pnt P = S->Value(UV.X(),UV.Y());
2368 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2369 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2370 NodesL.SetValue(i+1,j,N);
2371 if (i==dl) UVtmp.Append(UV);
2374 for (i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn-1; i++) {
2375 UVL.Append(UVtmp.Value(i));
2378 for (i=1; i<=dl; i++) {
2379 for (j=1; j<nl; j++) {
2381 myHelper->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
2382 NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
2383 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2388 // fill UVL using c2d
2389 for (i=1; i<npl.Length() && UVL.Length()<nbv-nnn-1; i++) {
2390 UVL.Append(gp_UV (uv_el[i].u, uv_el[i].v));
2394 // step2: create faces for right domain
2395 StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
2397 for (j=1; j<=nr; j++)
2398 NodesR.SetValue(1,j,uv_er[nr-j].node);
2401 for (i=1; i<=dr; i++)
2402 NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
2403 // create and add needed nodes
2404 TColgp_SequenceOfXY UVtmp;
2405 for (i=1; i<=dr; i++) {
2406 double x0 = npt.Value(nt-i);
2409 double y0 = npl.Value(i+1);
2410 double y1 = npr.Value(i+1);
2411 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2412 gp_Pnt P = S->Value(UV.X(),UV.Y());
2413 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2414 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2415 NodesR.SetValue(i+1,nr,N);
2416 if (UVR.Length()<nbv-nnn-1) UVR.Append(UV);
2418 for (j=2; j<nr; j++) {
2419 double y0 = npl.Value(nbv-j+1);
2420 double y1 = npr.Value(nbv-j+1);
2421 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2422 gp_Pnt P = S->Value(UV.X(),UV.Y());
2423 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2424 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2425 NodesR.SetValue(i+1,j,N);
2426 if (i==dr) UVtmp.Prepend(UV);
2429 for (i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn-1; i++) {
2430 UVR.Append(UVtmp.Value(i));
2433 for (i=1; i<=dr; i++) {
2434 for (j=1; j<nr; j++) {
2436 myHelper->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
2437 NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
2438 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2443 // fill UVR using c2d
2444 for (i=1; i<npr.Length() && UVR.Length()<nbv-nnn-1; i++) {
2445 UVR.Append(gp_UV(uv_er[i].u, uv_er[i].v));
2449 // step3: create faces for central domain
2450 StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
2451 // add first line using NodesL
2452 for (i=1; i<=dl+1; i++)
2453 NodesC.SetValue(1,i,NodesL(i,1));
2454 for (i=2; i<=nl; i++)
2455 NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
2456 // add last line using NodesR
2457 for (i=1; i<=dr+1; i++)
2458 NodesC.SetValue(nb,i,NodesR(i,nr));
2459 for (i=1; i<nr; i++)
2460 NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
2461 // add top nodes (last columns)
2462 for (i=dl+2; i<nbh-dr; i++)
2463 NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
2464 // add bottom nodes (first columns)
2465 for (i=2; i<nb; i++)
2466 NodesC.SetValue(i,1,uv_eb[i-1].node);
2468 // create and add needed nodes
2469 // add linear layers
2470 for (i=2; i<nb; i++) {
2471 double x0 = npt.Value(dl+i);
2473 for (j=1; j<nnn; j++) {
2474 double y0 = npl.Value(nbv-nnn+j);
2475 double y1 = npr.Value(nbv-nnn+j);
2476 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2477 gp_Pnt P = S->Value(UV.X(),UV.Y());
2478 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2479 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2480 NodesC.SetValue(i,nbv-nnn+j,N);
2483 // add diagonal layers
2484 for (i=1; i<nbv-nnn; i++) {
2485 double du = UVR.Value(i).X() - UVL.Value(i).X();
2486 double dv = UVR.Value(i).Y() - UVL.Value(i).Y();
2487 for (j=2; j<nb; j++) {
2488 double u = UVL.Value(i).X() + du*npb.Value(j);
2489 double v = UVL.Value(i).Y() + dv*npb.Value(j);
2490 gp_Pnt P = S->Value(u,v);
2491 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2492 meshDS->SetNodeOnFace(N, geomFaceID, u, v);
2493 NodesC.SetValue(j,i+1,N);
2497 for (i=1; i<nb; i++) {
2498 for (j=1; j<nbv; j++) {
2500 myHelper->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
2501 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
2502 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2506 } // end Multiple Reduce implementation
2507 else { // Simple Reduce (!MultipleReduce)
2508 //=========================================================
2511 // it is a base case => not shift quad
2512 //ShiftQuad(quad,0,true);
2515 // we have to shift quad on 2
2516 ShiftQuad(quad,2,true);
2521 // we have to shift quad on 1
2522 ShiftQuad(quad,1,true);
2525 // we have to shift quad on 3
2526 ShiftQuad(quad,3,true);
2530 nb = quad->side[0]->NbPoints();
2531 nr = quad->side[1]->NbPoints();
2532 nt = quad->side[2]->NbPoints();
2533 nl = quad->side[3]->NbPoints();
2535 // number of rows and columns
2536 int nrows = nr - 1; // and also == nl - 1
2537 int ncol_top = nt - 1;
2538 int ncol_bot = nb - 1;
2539 int npair_top = ncol_top / 2;
2540 // maximum number of bottom elements for "linear" simple reduce 4->2
2541 int max_lin = ncol_top + npair_top * 2 * nrows;
2542 // maximum number of bottom elements for "linear" simple reduce 4->2
2543 int max_lin31 = ncol_top + ncol_top * 2 * nrows;
2544 // maximum number of bottom elements for "tree" simple reduce 4->2
2545 int max_tree42 = npair_top * pow(2.0, nrows + 1);
2546 if (ncol_top > npair_top * 2) {
2547 int delta = ncol_bot - max_tree42;
2548 for (int irow = 1; irow < nrows; irow++) {
2549 int nfour = delta / 4;
2552 if (delta <= (ncol_top - npair_top * 2))
2553 max_tree42 = ncol_bot;
2555 // maximum number of bottom elements for "tree" simple reduce 3->1
2556 //int max_tree31 = ncol_top * pow(3.0, nrows);
2557 bool is_lin_31 = false;
2558 bool is_lin_42 = false;
2559 bool is_tree_31 = false;
2560 bool is_tree_42 = false;
2561 if (ncol_bot > max_lin) {
2562 if (ncol_bot <= max_lin31) {
2564 max_lin = max_lin31;
2568 // if ncol_bot is a 3*n or not 2*n
2569 if ((ncol_bot/3)*3 == ncol_bot || (ncol_bot/2)*2 != ncol_bot) {
2571 max_lin = max_lin31;
2577 if (ncol_bot > max_lin) { // not "linear"
2578 is_tree_31 = (ncol_bot > max_tree42);
2579 if (ncol_bot <= max_tree42) {
2580 if ((ncol_bot/3)*3 == ncol_bot || (ncol_bot/2)*2 != ncol_bot) {
2589 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
2590 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
2591 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
2592 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
2594 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
2595 return error(COMPERR_BAD_INPUT_MESH);
2597 // arrays for normalized params
2598 TColStd_SequenceOfReal npb, npr, npt, npl;
2599 for (j = 0; j < nb; j++) {
2600 npb.Append(uv_eb[j].normParam);
2602 for (i = 0; i < nr; i++) {
2603 npr.Append(uv_er[i].normParam);
2605 for (j = 0; j < nt; j++) {
2606 npt.Append(uv_et[j].normParam);
2608 for (i = 0; i < nl; i++) {
2609 npl.Append(uv_el[i].normParam);
2612 // We will ajust new points to this grid
2613 if (!SetNormalizedGrid(aMesh, aShape, quad))
2617 gp_XY a0 (uv_eb.front().u, uv_eb.front().v);
2618 gp_XY a1 (uv_eb.back().u, uv_eb.back().v);
2619 gp_XY a2 (uv_et.back().u, uv_et.back().v);
2620 gp_XY a3 (uv_et.front().u, uv_et.front().v);
2621 //=========================================================
2623 TColStd_SequenceOfInteger curr_base, next_base;
2624 TColStd_SequenceOfReal curr_par_u, curr_par_v;
2625 TColStd_SequenceOfReal next_par_u, next_par_v;
2626 StdMeshers_Array2OfNode NodesBRD (1,nb, 1,nr);
2627 for (j = 1; j <= nb; j++) {
2628 NodesBRD.SetValue(j, 1, uv_eb[j - 1].node); // bottom
2629 curr_base.Append(j);
2630 next_base.Append(-1);
2631 curr_par_u.Append(uv_eb[j-1].u);
2632 curr_par_v.Append(uv_eb[j-1].v);
2633 next_par_u.Append(0.);
2634 next_par_v.Append(0.);
2636 for (j = 1; j <= nt; j++) {
2637 NodesBRD.SetValue(j, nr, uv_et[j - 1].node); // top
2640 int curr_base_len = nb;
2641 int next_base_len = 0;
2644 // "tree" simple reduce "42": 2->4->8->16->32->...
2646 // .-------------------------------.-------------------------------. nr
2648 // | \ .---------------.---------------. / |
2650 // .---------------.---------------.---------------.---------------.
2651 // | \ | / | \ | / |
2652 // | \ .-------.-------. / | \ .-------.-------. / |
2653 // | | | | | | | | |
2654 // .-------.-------.-------.-------.-------.-------.-------.-------. i
2655 // |\ | /|\ | /|\ | /|\ | /|
2656 // | \.---.---./ | \.---.---./ | \.---.---./ | \.---.---./ |
2657 // | | | | | | | | | | | | | | | | |
2658 // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.
2659 // |\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|
2660 // | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. |
2661 // | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
2662 // .-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-. 1
2665 for (i = 1; i < nr; i++) { // layer by layer
2667 NodesBRD.SetValue(1, i+1, uv_el[i].node);
2668 next_base.SetValue(++next_base_len, 1);
2670 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
2672 next_par_u.SetValue(next_base_len, uv_el[i].u);
2673 next_par_v.SetValue(next_base_len, uv_el[i].v);
2675 // to stop reducing, if number of nodes reaches nt
2676 int delta = curr_base_len - nt;
2678 //double du = uv_er[i].u - uv_el[i].u;
2679 //double dv = uv_er[i].v - uv_el[i].v;
2681 // to calculate normalized parameter, we must know number of points in next layer
2682 int nb_four = (curr_base_len - 1) / 4;
2683 int nb_next = nb_four*2 + (curr_base_len - nb_four*4);
2684 if (nb_next < nt) nb_next = nt;
2686 for (j = 1; j + 4 <= curr_base_len && delta > 0; j += 4, delta -= 2) {
2687 // add one "HH": nodes a,b,c,d,e and faces 1,2,3,4,5,6
2689 // .-----a-----b i + 1
2702 const SMDS_MeshNode* Na;
2704 next_base.SetValue(next_base_len, curr_base.Value(j + 2));
2705 if (i + 1 == nr) { // top
2706 Na = uv_et[next_base_len - 1].node;
2707 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na);
2708 u = uv_et[next_base_len - 1].u;
2709 v = uv_et[next_base_len - 1].v;
2712 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2713 //u = uv_el[i].u + du * norm_par;
2714 //v = uv_el[i].v + dv * norm_par;
2716 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2717 int nearest_node_j = (int)rel;
2718 rel -= nearest_node_j;
2719 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2720 double u1 = quad->uv_grid[ij].u;
2721 double v1 = quad->uv_grid[ij].v;
2722 double u2 = quad->uv_grid[ij + 1].u;
2723 double v2 = quad->uv_grid[ij + 1].v;
2724 double duj = (u2 - u1) * rel;
2725 double dvj = (v2 - v1) * rel;
2729 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 2));
2730 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 2));
2731 gp_Pnt P = S->Value(u,v);
2732 SMDS_MeshNode* Na1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2733 meshDS->SetNodeOnFace(Na1, geomFaceID, u, v);
2734 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na1);
2737 next_par_u.SetValue(next_base_len, u);
2738 next_par_v.SetValue(next_base_len, v);
2741 const SMDS_MeshNode* Nb;
2743 next_base.SetValue(next_base_len, curr_base.Value(j + 4));
2744 if (i + 1 == nr) { // top
2745 Nb = uv_et[next_base_len - 1].node;
2746 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
2747 u = uv_et[next_base_len - 1].u;
2748 v = uv_et[next_base_len - 1].v;
2750 else if (j + 4 == curr_base_len) { // right
2751 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
2756 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2757 //u = uv_el[i].u + du * norm_par;
2758 //v = uv_el[i].v + dv * norm_par;
2760 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2761 int nearest_node_j = (int)rel;
2762 rel -= nearest_node_j;
2763 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2764 double u1 = quad->uv_grid[ij].u;
2765 double v1 = quad->uv_grid[ij].v;
2766 double u2 = quad->uv_grid[ij + 1].u;
2767 double v2 = quad->uv_grid[ij + 1].v;
2768 double duj = (u2 - u1) * rel;
2769 double dvj = (v2 - v1) * rel;
2773 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 4));
2774 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 4));
2775 gp_Pnt P = S->Value(u,v);
2776 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2777 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
2778 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
2781 next_par_u.SetValue(next_base_len, u);
2782 next_par_v.SetValue(next_base_len, v);
2785 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 2)) / 2.0;
2786 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 2)) / 2.0;
2787 gp_Pnt P = S->Value(u,v);
2788 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
2789 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
2792 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 1)) / 2.0;
2793 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 1)) / 2.0;
2795 SMDS_MeshNode* Nd = meshDS->AddNode(P.X(), P.Y(), P.Z());
2796 meshDS->SetNodeOnFace(Nd, geomFaceID, u, v);
2799 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len)) / 2.0;
2800 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len)) / 2.0;
2802 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
2803 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
2806 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
2807 NodesBRD.Value(curr_base.Value(j + 1), i),
2809 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
2810 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
2812 SMDS_MeshFace* F2 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
2813 NodesBRD.Value(curr_base.Value(j + 2), i),
2815 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
2817 SMDS_MeshFace* F3 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
2818 NodesBRD.Value(curr_base.Value(j + 3), i),
2820 if (F3) meshDS->SetMeshElementOnShape(F3, geomFaceID);
2822 SMDS_MeshFace* F4 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 3), i),
2823 NodesBRD.Value(curr_base.Value(j + 4), i),
2825 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
2827 SMDS_MeshFace* F5 = myHelper->AddFace(Nc, Nd, Na,
2828 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
2829 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
2831 SMDS_MeshFace* F6 = myHelper->AddFace(Nd, Ne, Nb, Na);
2832 if (F6) meshDS->SetMeshElementOnShape(F6, geomFaceID);
2835 // not reduced side elements (if any)
2836 for (; j < curr_base_len; j++) {
2838 const SMDS_MeshNode* Nf;
2840 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
2841 if (i + 1 == nr) { // top
2842 Nf = uv_et[next_base_len - 1].node;
2843 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
2844 u = uv_et[next_base_len - 1].u;
2845 v = uv_et[next_base_len - 1].v;
2847 else if (j + 1 == curr_base_len) { // right
2848 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
2853 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2854 //u = uv_el[i].u + du * norm_par;
2855 //v = uv_el[i].v + dv * norm_par;
2857 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2858 int nearest_node_j = (int)rel;
2859 rel -= nearest_node_j;
2860 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2861 double u1 = quad->uv_grid[ij].u;
2862 double v1 = quad->uv_grid[ij].v;
2863 double u2 = quad->uv_grid[ij + 1].u;
2864 double v2 = quad->uv_grid[ij + 1].v;
2865 double duj = (u2 - u1) * rel;
2866 double dvj = (v2 - v1) * rel;
2870 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 1));
2871 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 1));
2872 gp_Pnt P = S->Value(u,v);
2873 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2874 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
2875 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
2878 next_par_u.SetValue(next_base_len, u);
2879 next_par_v.SetValue(next_base_len, v);
2880 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
2881 NodesBRD.Value(curr_base.Value(j + 1), i),
2882 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
2883 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
2884 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
2887 curr_base_len = next_base_len;
2888 curr_base = next_base;
2889 curr_par_u = next_par_u;
2890 curr_par_v = next_par_v;
2893 } // end "tree" simple reduce "42"
2894 else if (is_tree_31) {
2895 // "tree" simple reduce "31": 1->3->9->27->...
2897 // .-----------------------------------------------------. nr
2899 // | .-----------------. |
2901 // .-----------------.-----------------.-----------------.
2902 // | \ / | \ / | \ / |
2903 // | .-----. | .-----. | .-----. | i
2904 // | | | | | | | | | |
2905 // .-----.-----.-----.-----.-----.-----.-----.-----.-----.
2906 // |\ /|\ /|\ /|\ /|\ /|\ /|\ /|\ /|\ /|
2907 // | .-. | .-. | .-. | .-. | .-. | .-. | .-. | .-. | .-. |
2908 // | | | | | | | | | | | | | | | | | | | | | | | | | | | |
2909 // .-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-. 1
2912 for (i = 1; i < nr; i++) { // layer by layer
2914 NodesBRD.SetValue(1, i+1, uv_el[i].node);
2915 next_base.SetValue(++next_base_len, 1);
2917 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
2919 next_par_u.SetValue(next_base_len, uv_el[i].u);
2920 next_par_v.SetValue(next_base_len, uv_el[i].v);
2922 // to stop reducing, if number of nodes reaches nt
2923 int delta = curr_base_len - nt;
2925 // to calculate normalized parameter, we must know number of points in next layer
2926 int nb_three = (curr_base_len - 1) / 3;
2927 int nb_next = nb_three + (curr_base_len - nb_three*3);
2928 if (nb_next < nt) nb_next = nt;
2930 for (j = 1; j + 3 <= curr_base_len && delta > 0; j += 3, delta -= 2) {
2931 // add one "H": nodes b,c,e and faces 1,2,4,5
2933 // .---------b i + 1
2946 const SMDS_MeshNode* Nb;
2948 next_base.SetValue(next_base_len, curr_base.Value(j + 3));
2949 if (i + 1 == nr) { // top
2950 Nb = uv_et[next_base_len - 1].node;
2951 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
2952 u = uv_et[next_base_len - 1].u;
2953 v = uv_et[next_base_len - 1].v;
2955 else if (j + 3 == curr_base_len) { // right
2956 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
2962 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2963 int nearest_node_j = (int)rel;
2964 rel -= nearest_node_j;
2965 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2966 double u1 = quad->uv_grid[ij].u;
2967 double v1 = quad->uv_grid[ij].v;
2968 double u2 = quad->uv_grid[ij + 1].u;
2969 double v2 = quad->uv_grid[ij + 1].v;
2970 double duj = (u2 - u1) * rel;
2971 double dvj = (v2 - v1) * rel;
2975 gp_Pnt P = S->Value(u,v);
2976 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2977 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
2978 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
2981 next_par_u.SetValue(next_base_len, u);
2982 next_par_v.SetValue(next_base_len, v);
2985 double u1 = (curr_par_u.Value(j) + next_par_u.Value(next_base_len - 1)) / 2.0;
2986 double u2 = (curr_par_u.Value(j + 3) + next_par_u.Value(next_base_len)) / 2.0;
2987 double u3 = (u2 - u1) / 3.0;
2989 double v1 = (curr_par_v.Value(j) + next_par_v.Value(next_base_len - 1)) / 2.0;
2990 double v2 = (curr_par_v.Value(j + 3) + next_par_v.Value(next_base_len)) / 2.0;
2991 double v3 = (v2 - v1) / 3.0;
2996 gp_Pnt P = S->Value(u,v);
2997 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
2998 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
3004 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
3005 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
3008 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
3009 NodesBRD.Value(curr_base.Value(j + 1), i),
3011 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3012 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3014 SMDS_MeshFace* F2 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
3015 NodesBRD.Value(curr_base.Value(j + 2), i),
3017 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
3019 SMDS_MeshFace* F4 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
3020 NodesBRD.Value(curr_base.Value(j + 3), i),
3022 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
3024 SMDS_MeshFace* F5 = myHelper->AddFace(Nc, Ne, Nb,
3025 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3026 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
3029 // not reduced side elements (if any)
3030 for (; j < curr_base_len; j++) {
3032 const SMDS_MeshNode* Nf;
3034 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3035 if (i + 1 == nr) { // top
3036 Nf = uv_et[next_base_len - 1].node;
3037 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3038 u = uv_et[next_base_len - 1].u;
3039 v = uv_et[next_base_len - 1].v;
3041 else if (j + 1 == curr_base_len) { // right
3042 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3048 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3049 int nearest_node_j = (int)rel;
3050 rel -= nearest_node_j;
3051 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3052 double u1 = quad->uv_grid[ij].u;
3053 double v1 = quad->uv_grid[ij].v;
3054 double u2 = quad->uv_grid[ij + 1].u;
3055 double v2 = quad->uv_grid[ij + 1].v;
3056 double duj = (u2 - u1) * rel;
3057 double dvj = (v2 - v1) * rel;
3061 gp_Pnt P = S->Value(u,v);
3062 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3063 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3064 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3067 next_par_u.SetValue(next_base_len, u);
3068 next_par_v.SetValue(next_base_len, v);
3069 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3070 NodesBRD.Value(curr_base.Value(j + 1), i),
3071 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3072 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3073 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3076 curr_base_len = next_base_len;
3077 curr_base = next_base;
3078 curr_par_u = next_par_u;
3079 curr_par_v = next_par_v;
3082 } // end "tree" simple reduce "31"
3083 else if (is_lin_42) {
3084 // "linear" simple reduce "42": 4->8->12->16
3086 // .---------------.---------------.---------------.---------------. nr
3087 // | \ | / | \ | / |
3088 // | \ .-------.-------. / | \ .-------.-------. / |
3089 // | | | | | | | | |
3090 // .-------.-------.-------.-------.-------.-------.-------.-------.
3091 // | / \ | / \ | / \ | / \ |
3092 // | / \.----.----./ \ | / \.----.----./ \ | i
3093 // | / | | | \ | / | | | \ |
3094 // .-----.----.----.----.----.-----.-----.----.----.----.----.-----.
3095 // | / / \ | / \ \ | / / \ | / \ \ |
3096 // | / / .-.-. \ \ | / / .-.-. \ \ |
3097 // | / / / | \ \ \ | / / / | \ \ \ |
3098 // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---. 1
3101 // nt = 5, nb = 7, nr = 4
3102 //int delta_all = 2;
3103 //int delta_one_col = 6;
3105 //int remainder = 2;
3106 //if (remainder > 0) nb_col++;
3108 //int free_left = 1;
3110 //int free_middle = 4;
3112 int delta_all = nb - nt;
3113 int delta_one_col = (nr - 1) * 2;
3114 int nb_col = delta_all / delta_one_col;
3115 int remainder = delta_all - nb_col * delta_one_col;
3116 if (remainder > 0) {
3119 int free_left = ((nt - 1) - nb_col * 2) / 2;
3120 free_left += nr - 2;
3121 int free_middle = (nr - 2) * 2;
3122 if (remainder > 0 && nb_col == 1) {
3123 int nb_rows_short_col = remainder / 2;
3124 int nb_rows_thrown = (nr - 1) - nb_rows_short_col;
3125 free_left -= nb_rows_thrown;
3128 // nt = 5, nb = 17, nr = 4
3129 //int delta_all = 12;
3130 //int delta_one_col = 6;
3132 //int remainder = 0;
3133 //int free_left = 2;
3134 //int free_middle = 4;
3136 for (i = 1; i < nr; i++, free_middle -= 2, free_left -= 1) { // layer by layer
3138 NodesBRD.SetValue(1, i+1, uv_el[i].node);
3139 next_base.SetValue(++next_base_len, 1);
3141 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
3144 next_par_u.SetValue(next_base_len, uv_el[i].u);
3145 next_par_v.SetValue(next_base_len, uv_el[i].v);
3147 // to calculate normalized parameter, we must know number of points in next layer
3148 int nb_next = curr_base_len - nb_col * 2;
3149 if (remainder > 0 && i > remainder / 2)
3150 // take into account short "column"
3152 if (nb_next < nt) nb_next = nt;
3154 // not reduced left elements
3155 for (j = 1; j <= free_left; j++) {
3157 const SMDS_MeshNode* Nf;
3159 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3160 if (i + 1 == nr) { // top
3161 Nf = uv_et[next_base_len - 1].node;
3162 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3163 u = uv_et[next_base_len - 1].u;
3164 v = uv_et[next_base_len - 1].v;
3168 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3169 int nearest_node_j = (int)rel;
3170 rel -= nearest_node_j;
3171 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3172 double u1 = quad->uv_grid[ij].u;
3173 double v1 = quad->uv_grid[ij].v;
3174 double u2 = quad->uv_grid[ij + 1].u;
3175 double v2 = quad->uv_grid[ij + 1].v;
3176 double duj = (u2 - u1) * rel;
3177 double dvj = (v2 - v1) * rel;
3181 gp_Pnt P = S->Value(u,v);
3182 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3183 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3184 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3187 next_par_u.SetValue(next_base_len, u);
3188 next_par_v.SetValue(next_base_len, v);
3189 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3190 NodesBRD.Value(curr_base.Value(j + 1), i),
3191 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3192 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3193 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3196 for (int icol = 1; icol <= nb_col; icol++) {
3198 if (remainder > 0 && icol == nb_col && i > remainder / 2)
3199 // stop short "column"
3202 // add one "HH": nodes a,b,c,d,e and faces 1,2,3,4,5,6
3204 // .-----a-----b i + 1
3217 const SMDS_MeshNode* Na;
3219 next_base.SetValue(next_base_len, curr_base.Value(j + 2));
3220 if (i + 1 == nr) { // top
3221 Na = uv_et[next_base_len - 1].node;
3222 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na);
3223 u = uv_et[next_base_len - 1].u;
3224 v = uv_et[next_base_len - 1].v;
3228 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3229 int nearest_node_j = (int)rel;
3230 rel -= nearest_node_j;
3231 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3232 double u1 = quad->uv_grid[ij].u;
3233 double v1 = quad->uv_grid[ij].v;
3234 double u2 = quad->uv_grid[ij + 1].u;
3235 double v2 = quad->uv_grid[ij + 1].v;
3236 double duj = (u2 - u1) * rel;
3237 double dvj = (v2 - v1) * rel;
3241 gp_Pnt P = S->Value(u,v);
3242 SMDS_MeshNode* Na1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3243 meshDS->SetNodeOnFace(Na1, geomFaceID, u, v);
3244 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na1);
3247 next_par_u.SetValue(next_base_len, u);
3248 next_par_v.SetValue(next_base_len, v);
3251 const SMDS_MeshNode* Nb;
3253 next_base.SetValue(next_base_len, curr_base.Value(j + 4));
3254 if (i + 1 == nr) { // top
3255 Nb = uv_et[next_base_len - 1].node;
3256 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
3257 u = uv_et[next_base_len - 1].u;
3258 v = uv_et[next_base_len - 1].v;
3260 else if (j + 4 == curr_base_len) { // right
3261 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3267 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3268 int nearest_node_j = (int)rel;
3269 rel -= nearest_node_j;
3270 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3271 double u1 = quad->uv_grid[ij].u;
3272 double v1 = quad->uv_grid[ij].v;
3273 double u2 = quad->uv_grid[ij + 1].u;
3274 double v2 = quad->uv_grid[ij + 1].v;
3275 double duj = (u2 - u1) * rel;
3276 double dvj = (v2 - v1) * rel;
3280 gp_Pnt P = S->Value(u,v);
3281 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3282 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
3283 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
3286 next_par_u.SetValue(next_base_len, u);
3287 next_par_v.SetValue(next_base_len, v);
3290 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 2)) / 2.0;
3291 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 2)) / 2.0;
3292 gp_Pnt P = S->Value(u,v);
3293 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
3294 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
3297 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 1)) / 2.0;
3298 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 1)) / 2.0;
3300 SMDS_MeshNode* Nd = meshDS->AddNode(P.X(), P.Y(), P.Z());
3301 meshDS->SetNodeOnFace(Nd, geomFaceID, u, v);
3304 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len)) / 2.0;
3305 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len)) / 2.0;
3307 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
3308 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
3311 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
3312 NodesBRD.Value(curr_base.Value(j + 1), i),
3314 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
3315 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3317 SMDS_MeshFace* F2 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
3318 NodesBRD.Value(curr_base.Value(j + 2), i),
3320 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
3322 SMDS_MeshFace* F3 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
3323 NodesBRD.Value(curr_base.Value(j + 3), i),
3325 if (F3) meshDS->SetMeshElementOnShape(F3, geomFaceID);
3327 SMDS_MeshFace* F4 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 3), i),
3328 NodesBRD.Value(curr_base.Value(j + 4), i),
3330 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
3332 SMDS_MeshFace* F5 = myHelper->AddFace(Nc, Nd, Na,
3333 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
3334 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
3336 SMDS_MeshFace* F6 = myHelper->AddFace(Nd, Ne, Nb, Na);
3337 if (F6) meshDS->SetMeshElementOnShape(F6, geomFaceID);
3341 // not reduced middle elements
3342 if (icol < nb_col) {
3343 if (remainder > 0 && icol == nb_col - 1 && i > remainder / 2)
3344 // pass middle elements before stopped short "column"
3347 int free_add = free_middle;
3348 if (remainder > 0 && icol == nb_col - 1)
3349 // next "column" is short
3350 free_add -= (nr - 1) - (remainder / 2);
3352 for (int imiddle = 1; imiddle <= free_add; imiddle++) {
3353 // f (i + 1, j + imiddle)
3354 const SMDS_MeshNode* Nf;
3356 next_base.SetValue(++next_base_len, curr_base.Value(j + imiddle));
3357 if (i + 1 == nr) { // top
3358 Nf = uv_et[next_base_len - 1].node;
3359 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3360 u = uv_et[next_base_len - 1].u;
3361 v = uv_et[next_base_len - 1].v;
3363 else if (j + imiddle == curr_base_len) { // right
3364 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3370 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3371 int nearest_node_j = (int)rel;
3372 rel -= nearest_node_j;
3373 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3374 double u1 = quad->uv_grid[ij].u;
3375 double v1 = quad->uv_grid[ij].v;
3376 double u2 = quad->uv_grid[ij + 1].u;
3377 double v2 = quad->uv_grid[ij + 1].v;
3378 double duj = (u2 - u1) * rel;
3379 double dvj = (v2 - v1) * rel;
3383 gp_Pnt P = S->Value(u,v);
3384 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3385 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3386 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3389 next_par_u.SetValue(next_base_len, u);
3390 next_par_v.SetValue(next_base_len, v);
3391 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j - 1 + imiddle), i),
3392 NodesBRD.Value(curr_base.Value(j + imiddle), i),
3393 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3394 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3395 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3401 // not reduced right elements
3402 for (; j < curr_base_len; j++) {
3404 const SMDS_MeshNode* Nf;
3406 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3407 if (i + 1 == nr) { // top
3408 Nf = uv_et[next_base_len - 1].node;
3409 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3410 u = uv_et[next_base_len - 1].u;
3411 v = uv_et[next_base_len - 1].v;
3413 else if (j + 1 == curr_base_len) { // right
3414 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3420 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3421 int nearest_node_j = (int)rel;
3422 rel -= nearest_node_j;
3423 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3424 double u1 = quad->uv_grid[ij].u;
3425 double v1 = quad->uv_grid[ij].v;
3426 double u2 = quad->uv_grid[ij + 1].u;
3427 double v2 = quad->uv_grid[ij + 1].v;
3428 double duj = (u2 - u1) * rel;
3429 double dvj = (v2 - v1) * rel;
3433 gp_Pnt P = S->Value(u,v);
3434 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3435 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3436 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3439 next_par_u.SetValue(next_base_len, u);
3440 next_par_v.SetValue(next_base_len, v);
3441 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3442 NodesBRD.Value(curr_base.Value(j + 1), i),
3443 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3444 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3445 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3448 curr_base_len = next_base_len;
3449 curr_base = next_base;
3450 curr_par_u = next_par_u;
3451 curr_par_v = next_par_v;
3454 } // end "linear" simple reduce "42"
3455 else if (is_lin_31) {
3456 // "linear" simple reduce "31": 2->6->10->14
3458 // .-----------------------------.-----------------------------. nr
3460 // | .---------. | .---------. |
3462 // .---------.---------.---------.---------.---------.---------.
3463 // | / \ / \ | / \ / \ |
3464 // | / .-----. \ | / .-----. \ | i
3465 // | / | | \ | / | | \ |
3466 // .-----.-----.-----.-----.-----.-----.-----.-----.-----.-----.
3467 // | / / \ / \ \ | / / \ / \ \ |
3468 // | / / .-. \ \ | / / .-. \ \ |
3469 // | / / / \ \ \ | / / / \ \ \ |
3470 // .--.----.---.-----.---.-----.-.--.----.---.-----.---.-----.-. 1
3473 int delta_all = nb - nt;
3474 int delta_one_col = (nr - 1) * 2;
3475 int nb_col = delta_all / delta_one_col;
3476 int remainder = delta_all - nb_col * delta_one_col;
3477 if (remainder > 0) {
3480 int free_left = ((nt - 1) - nb_col) / 2;
3481 free_left += nr - 2;
3482 int free_middle = (nr - 2) * 2;
3483 if (remainder > 0 && nb_col == 1) {
3484 int nb_rows_short_col = remainder / 2;
3485 int nb_rows_thrown = (nr - 1) - nb_rows_short_col;
3486 free_left -= nb_rows_thrown;
3489 for (i = 1; i < nr; i++, free_middle -= 2, free_left -= 1) { // layer by layer
3491 NodesBRD.SetValue(1, i+1, uv_el[i].node);
3492 next_base.SetValue(++next_base_len, 1);
3494 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
3497 next_par_u.SetValue(next_base_len, uv_el[i].u);
3498 next_par_v.SetValue(next_base_len, uv_el[i].v);
3500 // to calculate normalized parameter, we must know number of points in next layer
3501 int nb_next = curr_base_len - nb_col * 2;
3502 if (remainder > 0 && i > remainder / 2)
3503 // take into account short "column"
3505 if (nb_next < nt) nb_next = nt;
3507 // not reduced left elements
3508 for (j = 1; j <= free_left; j++) {
3510 const SMDS_MeshNode* Nf;
3512 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3513 if (i + 1 == nr) { // top
3514 Nf = uv_et[next_base_len - 1].node;
3515 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3516 u = uv_et[next_base_len - 1].u;
3517 v = uv_et[next_base_len - 1].v;
3521 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3522 int nearest_node_j = (int)rel;
3523 rel -= nearest_node_j;
3524 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3525 double u1 = quad->uv_grid[ij].u;
3526 double v1 = quad->uv_grid[ij].v;
3527 double u2 = quad->uv_grid[ij + 1].u;
3528 double v2 = quad->uv_grid[ij + 1].v;
3529 double duj = (u2 - u1) * rel;
3530 double dvj = (v2 - v1) * rel;
3534 gp_Pnt P = S->Value(u,v);
3535 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3536 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3537 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3540 next_par_u.SetValue(next_base_len, u);
3541 next_par_v.SetValue(next_base_len, v);
3542 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3543 NodesBRD.Value(curr_base.Value(j + 1), i),
3544 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3545 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3546 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3549 for (int icol = 1; icol <= nb_col; icol++) {
3551 if (remainder > 0 && icol == nb_col && i > remainder / 2)
3552 // stop short "column"
3555 // add one "H": nodes b,c,e and faces 1,2,4,5
3557 // .---------b i + 1
3570 const SMDS_MeshNode* Nb;
3572 next_base.SetValue(next_base_len, curr_base.Value(j + 3));
3573 if (i + 1 == nr) { // top
3574 Nb = uv_et[next_base_len - 1].node;
3575 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
3576 u = uv_et[next_base_len - 1].u;
3577 v = uv_et[next_base_len - 1].v;
3579 else if (j + 3 == curr_base_len) { // right
3580 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3586 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3587 int nearest_node_j = (int)rel;
3588 rel -= nearest_node_j;
3589 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3590 double u1 = quad->uv_grid[ij].u;
3591 double v1 = quad->uv_grid[ij].v;
3592 double u2 = quad->uv_grid[ij + 1].u;
3593 double v2 = quad->uv_grid[ij + 1].v;
3594 double duj = (u2 - u1) * rel;
3595 double dvj = (v2 - v1) * rel;
3599 gp_Pnt P = S->Value(u,v);
3600 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3601 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
3602 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
3605 next_par_u.SetValue(next_base_len, u);
3606 next_par_v.SetValue(next_base_len, v);
3609 double u1 = (curr_par_u.Value(j) + next_par_u.Value(next_base_len - 1)) / 2.0;
3610 double u2 = (curr_par_u.Value(j + 3) + next_par_u.Value(next_base_len)) / 2.0;
3611 double u3 = (u2 - u1) / 3.0;
3613 double v1 = (curr_par_v.Value(j) + next_par_v.Value(next_base_len - 1)) / 2.0;
3614 double v2 = (curr_par_v.Value(j + 3) + next_par_v.Value(next_base_len)) / 2.0;
3615 double v3 = (v2 - v1) / 3.0;
3620 gp_Pnt P = S->Value(u,v);
3621 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
3622 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
3628 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
3629 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
3632 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
3633 NodesBRD.Value(curr_base.Value(j + 1), i),
3635 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3636 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3638 SMDS_MeshFace* F2 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
3639 NodesBRD.Value(curr_base.Value(j + 2), i),
3641 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
3643 SMDS_MeshFace* F4 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
3644 NodesBRD.Value(curr_base.Value(j + 3), i),
3646 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
3648 SMDS_MeshFace* F5 = myHelper->AddFace(Nc, Ne, Nb,
3649 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3650 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
3654 // not reduced middle elements
3655 if (icol < nb_col) {
3656 if (remainder > 0 && icol == nb_col - 1 && i > remainder / 2)
3657 // pass middle elements before stopped short "column"
3660 int free_add = free_middle;
3661 if (remainder > 0 && icol == nb_col - 1)
3662 // next "column" is short
3663 free_add -= (nr - 1) - (remainder / 2);
3665 for (int imiddle = 1; imiddle <= free_add; imiddle++) {
3666 // f (i + 1, j + imiddle)
3667 const SMDS_MeshNode* Nf;
3669 next_base.SetValue(++next_base_len, curr_base.Value(j + imiddle));
3670 if (i + 1 == nr) { // top
3671 Nf = uv_et[next_base_len - 1].node;
3672 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3673 u = uv_et[next_base_len - 1].u;
3674 v = uv_et[next_base_len - 1].v;
3676 else if (j + imiddle == curr_base_len) { // right
3677 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3683 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3684 int nearest_node_j = (int)rel;
3685 rel -= nearest_node_j;
3686 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3687 double u1 = quad->uv_grid[ij].u;
3688 double v1 = quad->uv_grid[ij].v;
3689 double u2 = quad->uv_grid[ij + 1].u;
3690 double v2 = quad->uv_grid[ij + 1].v;
3691 double duj = (u2 - u1) * rel;
3692 double dvj = (v2 - v1) * rel;
3696 gp_Pnt P = S->Value(u,v);
3697 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3698 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3699 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3702 next_par_u.SetValue(next_base_len, u);
3703 next_par_v.SetValue(next_base_len, v);
3704 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j - 1 + imiddle), i),
3705 NodesBRD.Value(curr_base.Value(j + imiddle), i),
3706 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3707 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3708 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3714 // not reduced right elements
3715 for (; j < curr_base_len; j++) {
3717 const SMDS_MeshNode* Nf;
3719 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3720 if (i + 1 == nr) { // top
3721 Nf = uv_et[next_base_len - 1].node;
3722 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3723 u = uv_et[next_base_len - 1].u;
3724 v = uv_et[next_base_len - 1].v;
3726 else if (j + 1 == curr_base_len) { // right
3727 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3733 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3734 int nearest_node_j = (int)rel;
3735 rel -= nearest_node_j;
3736 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3737 double u1 = quad->uv_grid[ij].u;
3738 double v1 = quad->uv_grid[ij].v;
3739 double u2 = quad->uv_grid[ij + 1].u;
3740 double v2 = quad->uv_grid[ij + 1].v;
3741 double duj = (u2 - u1) * rel;
3742 double dvj = (v2 - v1) * rel;
3746 gp_Pnt P = S->Value(u,v);
3747 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3748 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3749 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3752 next_par_u.SetValue(next_base_len, u);
3753 next_par_v.SetValue(next_base_len, v);
3754 SMDS_MeshFace* F1 = myHelper->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3755 NodesBRD.Value(curr_base.Value(j + 1), i),
3756 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3757 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3758 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3761 curr_base_len = next_base_len;
3762 curr_base = next_base;
3763 curr_par_u = next_par_u;
3764 curr_par_v = next_par_v;
3767 } // end "linear" simple reduce "31"
3770 } // end Simple Reduce implementation
3776 //================================================================================
3777 namespace // data for smoothing
3780 // --------------------------------------------------------------------------------
3782 * \brief Structure used to check validity of node position after smoothing.
3783 * It holds two nodes connected to a smoothed node and belonging to
3790 TTriangle( TSmoothNode* n1=0, TSmoothNode* n2=0 ): _n1(n1), _n2(n2) {}
3792 inline bool IsForward( gp_UV uv ) const;
3794 // --------------------------------------------------------------------------------
3796 * \brief Data of a smoothed node
3801 vector< TTriangle > _triangles; // if empty, then node is not movable
3803 // --------------------------------------------------------------------------------
3804 inline bool TTriangle::IsForward( gp_UV uv ) const
3806 gp_Vec2d v1( uv, _n1->_uv ), v2( uv, _n2->_uv );
3812 //================================================================================
3814 * \brief Set UV of nodes on degenerated VERTEXes in the middle of degenerated EDGE
3816 * WARNING: this method must be called AFTER retrieving UVPtStruct's from quad
3818 //================================================================================
3820 void StdMeshers_Quadrangle_2D::UpdateDegenUV(FaceQuadStruct* quad)
3822 for ( unsigned i = 0; i < quad->side.size(); ++i )
3824 StdMeshers_FaceSide* side = quad->side[i];
3825 const vector<UVPtStruct>& uvVec = side->GetUVPtStruct();
3827 // find which end of the side is on degenerated shape
3829 if ( myHelper->IsDegenShape( uvVec[0].node->getshapeId() ))
3831 else if ( myHelper->IsDegenShape( uvVec.back().node->getshapeId() ))
3832 degenInd = uvVec.size() - 1;
3836 // find another side sharing the degenerated shape
3837 bool isPrev = ( degenInd == 0 );
3838 if ( i >= TOP_SIDE )
3840 int i2 = ( isPrev ? ( i + 3 ) : ( i + 1 )) % 4;
3841 StdMeshers_FaceSide* side2 = quad->side[ i2 ];
3842 const vector<UVPtStruct>& uvVec2 = side2->GetUVPtStruct();
3844 if ( uvVec[ degenInd ].node == uvVec2[0].node )
3846 else if ( uvVec[ degenInd ].node == uvVec2.back().node )
3847 degenInd2 = uvVec2.size() - 1;
3849 throw SALOME_Exception( LOCALIZED( "Logical error" ));
3851 // move UV in the middle
3852 uvPtStruct& uv1 = const_cast<uvPtStruct&>( uvVec [ degenInd ]);
3853 uvPtStruct& uv2 = const_cast<uvPtStruct&>( uvVec2[ degenInd2 ]);
3854 uv1.u = uv2.u = 0.5 * ( uv1.u + uv2.u );
3855 uv1.v = uv2.v = 0.5 * ( uv1.v + uv2.v );
3859 //================================================================================
3861 * \brief Perform smoothing of 2D elements on a FACE with ignored degenerated EDGE
3863 //================================================================================
3865 void StdMeshers_Quadrangle_2D::Smooth (FaceQuadStruct* quad)
3867 if ( !myNeedSmooth ) return;
3869 // Get nodes to smooth
3871 typedef map< const SMDS_MeshNode*, TSmoothNode, TIDCompare > TNo2SmooNoMap;
3872 TNo2SmooNoMap smooNoMap;
3874 const TopoDS_Face& geomFace = TopoDS::Face( myHelper->GetSubShape() );
3875 SMESHDS_Mesh* meshDS = myHelper->GetMeshDS();
3876 SMESHDS_SubMesh* fSubMesh = meshDS->MeshElements( geomFace );
3877 SMDS_NodeIteratorPtr nIt = fSubMesh->GetNodes();
3878 while ( nIt->more() ) // loop on nodes bound to a FACE
3880 const SMDS_MeshNode* node = nIt->next();
3881 TSmoothNode & sNode = smooNoMap[ node ];
3882 sNode._uv = myHelper->GetNodeUV( geomFace, node );
3884 // set sNode._triangles
3885 SMDS_ElemIteratorPtr fIt = node->GetInverseElementIterator( SMDSAbs_Face );
3886 while ( fIt->more() )
3888 const SMDS_MeshElement* face = fIt->next();
3889 const int nbN = face->NbCornerNodes();
3890 const int nInd = face->GetNodeIndex( node );
3891 const int prevInd = myHelper->WrapIndex( nInd - 1, nbN );
3892 const int nextInd = myHelper->WrapIndex( nInd + 1, nbN );
3893 const SMDS_MeshNode* prevNode = face->GetNode( prevInd );
3894 const SMDS_MeshNode* nextNode = face->GetNode( nextInd );
3895 sNode._triangles.push_back( TTriangle( & smooNoMap[ prevNode ],
3896 & smooNoMap[ nextNode ]));
3899 // set _uv of smooth nodes on FACE boundary
3900 for ( unsigned i = 0; i < quad->side.size(); ++i )
3902 const vector<UVPtStruct>& uvVec = quad->side[i]->GetUVPtStruct();
3903 for ( unsigned j = 0; j < uvVec.size(); ++j )
3905 TSmoothNode & sNode = smooNoMap[ uvVec[j].node ];
3906 sNode._uv.SetCoord( uvVec[j].u, uvVec[j].v );
3910 // define refernce orientation in 2D
3911 TNo2SmooNoMap::iterator n2sn = smooNoMap.begin();
3912 for ( ; n2sn != smooNoMap.end(); ++n2sn )
3913 if ( !n2sn->second._triangles.empty() )
3915 if ( n2sn == smooNoMap.end() ) return;
3916 const TSmoothNode & sampleNode = n2sn->second;
3917 const bool refForward = ( sampleNode._triangles[0].IsForward( sampleNode._uv ));
3921 for ( int iLoop = 0; iLoop < 5; ++iLoop )
3923 for ( n2sn = smooNoMap.begin(); n2sn != smooNoMap.end(); ++n2sn )
3925 TSmoothNode& sNode = n2sn->second;
3926 if ( sNode._triangles.empty() )
3927 continue; // not movable node
3931 for ( unsigned i = 0; i < sNode._triangles.size(); ++i )
3932 newUV += sNode._triangles[i]._n1->_uv;
3933 newUV /= sNode._triangles.size();
3935 // check validity of the newUV
3936 bool isValid = true;
3937 for ( unsigned i = 0; i < sNode._triangles.size() && isValid; ++i )
3938 isValid = ( sNode._triangles[i].IsForward( newUV ) == refForward );
3945 // Set new XYZ to the smoothed nodes
3947 Handle(Geom_Surface) surface = BRep_Tool::Surface( geomFace );
3949 for ( n2sn = smooNoMap.begin(); n2sn != smooNoMap.end(); ++n2sn )
3951 TSmoothNode& sNode = n2sn->second;
3952 if ( sNode._triangles.empty() )
3953 continue; // not movable node
3955 SMDS_MeshNode* node = const_cast< SMDS_MeshNode*>( n2sn->first );
3956 gp_Pnt xyz = surface->Value( sNode._uv.X(), sNode._uv.Y() );
3957 meshDS->MoveNode( node, xyz.X(), xyz.Y(), xyz.Z() );
3960 node->SetPosition( SMDS_PositionPtr( new SMDS_FacePosition( sNode._uv.X(), sNode._uv.Y() )));
3963 // Move medium nodes in quadratic mesh
3964 if ( _quadraticMesh )
3966 const TLinkNodeMap& links = myHelper->GetTLinkNodeMap();
3967 TLinkNodeMap::const_iterator linkIt = links.begin();
3968 for ( ; linkIt != links.end(); ++linkIt )
3970 const SMESH_TLink& link = linkIt->first;
3971 SMDS_MeshNode* node = const_cast< SMDS_MeshNode*>( linkIt->second );
3973 if ( node->getshapeId() != myHelper->GetSubShapeID() )
3974 continue; // medium node is on EDGE or VERTEX
3976 gp_XY uv1 = myHelper->GetNodeUV( geomFace, link.node1(), node );
3977 gp_XY uv2 = myHelper->GetNodeUV( geomFace, link.node2(), node );
3979 gp_XY uv = myHelper->GetMiddleUV( surface, uv1, uv2 );
3980 node->SetPosition( SMDS_PositionPtr( new SMDS_FacePosition( uv.X(), uv.Y() )));
3982 gp_Pnt xyz = surface->Value( uv.X(), uv.Y() );
3983 meshDS->MoveNode( node, xyz.X(), xyz.Y(), xyz.Z() );