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 = myTool->IsQuadraticSubMesh(aShape);
209 FaceQuadStruct *quad = CheckNbEdges(aMesh, aShape);
210 std::auto_ptr<FaceQuadStruct> quadDeleter (quad); // to delete quad at exit from Compute()
214 if (myQuadranglePreference) {
215 int n1 = quad->side[0]->NbPoints();
216 int n2 = quad->side[1]->NbPoints();
217 int n3 = quad->side[2]->NbPoints();
218 int n4 = quad->side[3]->NbPoints();
219 int nfull = n1+n2+n3+n4;
222 if (nfull == ntmp && ((n1 != n3) || (n2 != n4))) {
223 // special path for using only quandrangle faces
224 bool ok = ComputeQuadPref(aMesh, aShape, quad);
228 else if (myQuadType == QUAD_REDUCED) {
229 int n1 = quad->side[0]->NbPoints();
230 int n2 = quad->side[1]->NbPoints();
231 int n3 = quad->side[2]->NbPoints();
232 int n4 = quad->side[3]->NbPoints();
235 int n13tmp = n13/2; n13tmp = n13tmp*2;
236 int n24tmp = n24/2; n24tmp = n24tmp*2;
237 if ((n1 == n3 && n2 != n4 && n24tmp == n24) ||
238 (n2 == n4 && n1 != n3 && n13tmp == n13)) {
239 bool ok = ComputeReduced(aMesh, aShape, quad);
244 // set normalized grid on unit square in parametric domain
246 if (!SetNormalizedGrid(aMesh, aShape, quad))
249 // --- compute 3D values on points, store points & quadrangles
251 int nbdown = quad->side[0]->NbPoints();
252 int nbup = quad->side[2]->NbPoints();
254 int nbright = quad->side[1]->NbPoints();
255 int nbleft = quad->side[3]->NbPoints();
257 int nbhoriz = Min(nbdown, nbup);
258 int nbvertic = Min(nbright, nbleft);
260 const TopoDS_Face& F = TopoDS::Face(aShape);
261 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
263 // internal mesh nodes
264 int i, j, geomFaceID = meshDS->ShapeToIndex(F);
265 for (i = 1; i < nbhoriz - 1; i++) {
266 for (j = 1; j < nbvertic - 1; j++) {
267 int ij = j * nbhoriz + i;
268 double u = quad->uv_grid[ij].u;
269 double v = quad->uv_grid[ij].v;
270 gp_Pnt P = S->Value(u, v);
271 SMDS_MeshNode * node = meshDS->AddNode(P.X(), P.Y(), P.Z());
272 meshDS->SetNodeOnFace(node, geomFaceID, u, v);
273 quad->uv_grid[ij].node = node;
280 // --.--.--.--.--.-- nbvertic
286 // ---.----.----.--- 0
287 // 0 > > > > > > > > nbhoriz
293 int iup = nbhoriz - 1;
294 if (quad->isEdgeOut[3]) { ilow++; } else { if (quad->isEdgeOut[1]) iup--; }
297 int jup = nbvertic - 1;
298 if (quad->isEdgeOut[0]) { jlow++; } else { if (quad->isEdgeOut[2]) jup--; }
300 // regular quadrangles
301 for (i = ilow; i < iup; i++) {
302 for (j = jlow; j < jup; j++) {
303 const SMDS_MeshNode *a, *b, *c, *d;
304 a = quad->uv_grid[j * nbhoriz + i].node;
305 b = quad->uv_grid[j * nbhoriz + i + 1].node;
306 c = quad->uv_grid[(j + 1) * nbhoriz + i + 1].node;
307 d = quad->uv_grid[(j + 1) * nbhoriz + i].node;
308 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
310 meshDS->SetMeshElementOnShape(face, geomFaceID);
315 const vector<UVPtStruct>& uv_e0 = quad->side[0]->GetUVPtStruct(true,0);
316 const vector<UVPtStruct>& uv_e1 = quad->side[1]->GetUVPtStruct(false,1);
317 const vector<UVPtStruct>& uv_e2 = quad->side[2]->GetUVPtStruct(true,1);
318 const vector<UVPtStruct>& uv_e3 = quad->side[3]->GetUVPtStruct(false,0);
320 if (uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty())
321 return error(COMPERR_BAD_INPUT_MESH);
323 double eps = Precision::Confusion();
325 // Boundary quadrangles
327 if (quad->isEdgeOut[0]) {
330 // |___|___|___|___|___|___|
332 // |___|___|___|___|___|___|
334 // |___|___|___|___|___|___| __ first row of the regular grid
335 // . . . . . . . . . __ down edge nodes
337 // >->->->->->->->->->->->-> -- direction of processing
339 int g = 0; // number of last processed node in the regular grid
341 // number of last node of the down edge to be processed
342 int stop = nbdown - 1;
343 // if right edge is out, we will stop at a node, previous to the last one
344 if (quad->isEdgeOut[1]) stop--;
346 // for each node of the down edge find nearest node
347 // in the first row of the regular grid and link them
348 for (i = 0; i < stop; i++) {
349 const SMDS_MeshNode *a, *b, *c, *d;
351 b = uv_e0[i + 1].node;
352 gp_Pnt pb (b->X(), b->Y(), b->Z());
354 // find node c in the regular grid, which will be linked with node b
357 // right bound reached, link with the rightmost node
359 c = quad->uv_grid[nbhoriz + iup].node;
362 // find in the grid node c, nearest to the b
363 double mind = RealLast();
364 for (int k = g; k <= iup; k++) {
366 const SMDS_MeshNode *nk;
367 if (k < ilow) // this can be, if left edge is out
368 nk = uv_e3[1].node; // get node from the left edge
370 nk = quad->uv_grid[nbhoriz + k].node; // get one of middle nodes
372 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
373 double dist = pb.Distance(pnk);
374 if (dist < mind - eps) {
384 if (near == g) { // make triangle
385 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
386 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
388 else { // make quadrangle
392 d = quad->uv_grid[nbhoriz + near - 1].node;
393 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
395 if (!myTrianglePreference){
396 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
397 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
400 SplitQuad(meshDS, geomFaceID, a, b, c, d);
403 // if node d is not at position g - make additional triangles
405 for (int k = near - 1; k > g; k--) {
406 c = quad->uv_grid[nbhoriz + k].node;
410 d = quad->uv_grid[nbhoriz + k - 1].node;
411 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
412 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
419 if (quad->isEdgeOut[2]) {
422 // <-<-<-<-<-<-<-<-<-<-<-<-< -- direction of processing
424 // . . . . . . . . . __ up edge nodes
425 // ___ ___ ___ ___ ___ ___ __ first row of the regular grid
427 // |___|___|___|___|___|___|
429 // |___|___|___|___|___|___|
432 int g = nbhoriz - 1; // last processed node in the regular grid
435 // if left edge is out, we will stop at a second node
436 if (quad->isEdgeOut[3]) stop++;
438 // for each node of the up edge find nearest node
439 // in the first row of the regular grid and link them
440 for (i = nbup - 1; i > stop; i--) {
441 const SMDS_MeshNode *a, *b, *c, *d;
443 b = uv_e2[i - 1].node;
444 gp_Pnt pb (b->X(), b->Y(), b->Z());
446 // find node c in the grid, which will be linked with node b
448 if (i == stop + 1) { // left bound reached, link with the leftmost node
449 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + ilow].node;
452 // find node c in the grid, nearest to the b
453 double mind = RealLast();
454 for (int k = g; k >= ilow; k--) {
455 const SMDS_MeshNode *nk;
457 nk = uv_e1[nbright - 2].node;
459 nk = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
460 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
461 double dist = pb.Distance(pnk);
462 if (dist < mind - eps) {
472 if (near == g) { // make triangle
473 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
474 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
476 else { // make quadrangle
478 d = uv_e1[nbright - 2].node;
480 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + near + 1].node;
481 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
482 if (!myTrianglePreference){
483 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
484 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
487 SplitQuad(meshDS, geomFaceID, a, b, c, d);
490 if (near + 1 < g) { // if d not is at g - make additional triangles
491 for (int k = near + 1; k < g; k++) {
492 c = quad->uv_grid[nbhoriz*(nbvertic - 2) + k].node;
494 d = uv_e1[nbright - 2].node;
496 d = quad->uv_grid[nbhoriz*(nbvertic - 2) + k + 1].node;
497 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
498 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
507 // right or left boundary quadrangles
508 if (quad->isEdgeOut[1]) {
509 // MESSAGE("right edge is out");
510 int g = 0; // last processed node in the grid
511 int stop = nbright - 1;
512 if (quad->isEdgeOut[2]) stop--;
513 for (i = 0; i < stop; i++) {
514 const SMDS_MeshNode *a, *b, *c, *d;
516 b = uv_e1[i + 1].node;
517 gp_Pnt pb (b->X(), b->Y(), b->Z());
519 // find node c in the grid, nearest to the b
521 if (i == stop - 1) { // up bondary reached
522 c = quad->uv_grid[nbhoriz*(jup + 1) - 2].node;
525 double mind = RealLast();
526 for (int k = g; k <= jup; k++) {
527 const SMDS_MeshNode *nk;
529 nk = uv_e0[nbdown - 2].node;
531 nk = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
532 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
533 double dist = pb.Distance(pnk);
534 if (dist < mind - eps) {
544 if (near == g) { // make triangle
545 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
546 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
548 else { // make quadrangle
550 d = uv_e0[nbdown - 2].node;
552 d = quad->uv_grid[nbhoriz*near - 2].node;
553 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
555 if (!myTrianglePreference){
556 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
557 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
560 SplitQuad(meshDS, geomFaceID, a, b, c, d);
563 if (near - 1 > g) { // if d not is at g - make additional triangles
564 for (int k = near - 1; k > g; k--) {
565 c = quad->uv_grid[nbhoriz*(k + 1) - 2].node;
567 d = uv_e0[nbdown - 2].node;
569 d = quad->uv_grid[nbhoriz*k - 2].node;
570 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
571 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
578 if (quad->isEdgeOut[3]) {
579 // MESSAGE("left edge is out");
580 int g = nbvertic - 1; // last processed node in the grid
582 if (quad->isEdgeOut[0]) stop++;
583 for (i = nbleft - 1; i > stop; i--) {
584 const SMDS_MeshNode *a, *b, *c, *d;
586 b = uv_e3[i - 1].node;
587 gp_Pnt pb (b->X(), b->Y(), b->Z());
589 // find node c in the grid, nearest to the b
591 if (i == stop + 1) { // down bondary reached
592 c = quad->uv_grid[nbhoriz*jlow + 1].node;
595 double mind = RealLast();
596 for (int k = g; k >= jlow; k--) {
597 const SMDS_MeshNode *nk;
601 nk = quad->uv_grid[nbhoriz*k + 1].node;
602 gp_Pnt pnk (nk->X(), nk->Y(), nk->Z());
603 double dist = pb.Distance(pnk);
604 if (dist < mind - eps) {
614 if (near == g) { // make triangle
615 SMDS_MeshFace* face = myTool->AddFace(a, b, c);
616 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
618 else { // make quadrangle
622 d = quad->uv_grid[nbhoriz*(near + 1) + 1].node;
623 //SMDS_MeshFace* face = meshDS->AddFace(a, b, c, d);
624 if (!myTrianglePreference){
625 SMDS_MeshFace* face = myTool->AddFace(a, b, c, d);
626 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
629 SplitQuad(meshDS, geomFaceID, a, b, c, d);
632 if (near + 1 < g) { // if d not is at g - make additional triangles
633 for (int k = near + 1; k < g; k++) {
634 c = quad->uv_grid[nbhoriz*k + 1].node;
638 d = quad->uv_grid[nbhoriz*(k + 1) + 1].node;
639 SMDS_MeshFace* face = myTool->AddFace(a, c, d);
640 if (face) meshDS->SetMeshElementOnShape(face, geomFaceID);
654 //=============================================================================
658 //=============================================================================
660 bool StdMeshers_Quadrangle_2D::Evaluate(SMESH_Mesh& aMesh,
661 const TopoDS_Shape& aShape,
662 MapShapeNbElems& aResMap)
665 aMesh.GetSubMesh(aShape);
667 std::vector<int> aNbNodes(4);
668 bool IsQuadratic = false;
669 if (!CheckNbEdgesForEvaluate(aMesh, aShape, aResMap, aNbNodes, IsQuadratic)) {
670 std::vector<int> aResVec(SMDSEntity_Last);
671 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aResVec[i] = 0;
672 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
673 aResMap.insert(std::make_pair(sm,aResVec));
674 SMESH_ComputeErrorPtr& smError = sm->GetComputeError();
675 smError.reset(new SMESH_ComputeError(COMPERR_ALGO_FAILED,"Submesh can not be evaluated",this));
679 if (myQuadranglePreference) {
680 int n1 = aNbNodes[0];
681 int n2 = aNbNodes[1];
682 int n3 = aNbNodes[2];
683 int n4 = aNbNodes[3];
684 int nfull = n1+n2+n3+n4;
687 if (nfull==ntmp && ((n1!=n3) || (n2!=n4))) {
688 // special path for using only quandrangle faces
689 return EvaluateQuadPref(aMesh, aShape, aNbNodes, aResMap, IsQuadratic);
694 int nbdown = aNbNodes[0];
695 int nbup = aNbNodes[2];
697 int nbright = aNbNodes[1];
698 int nbleft = aNbNodes[3];
700 int nbhoriz = Min(nbdown, nbup);
701 int nbvertic = Min(nbright, nbleft);
703 int dh = Max(nbdown, nbup) - nbhoriz;
704 int dv = Max(nbright, nbleft) - nbvertic;
711 int nbNodes = (nbhoriz-2)*(nbvertic-2);
712 //int nbFaces3 = dh + dv + kdh*(nbvertic-1)*2 + kdv*(nbhoriz-1)*2;
713 int nbFaces3 = dh + dv;
714 //if (kdh==1 && kdv==1) nbFaces3 -= 2;
715 //if (dh>0 && dv>0) nbFaces3 -= 2;
716 //int nbFaces4 = (nbhoriz-1-kdh)*(nbvertic-1-kdv);
717 int nbFaces4 = (nbhoriz-1)*(nbvertic-1);
719 std::vector<int> aVec(SMDSEntity_Last);
720 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aVec[i] = 0;
722 aVec[SMDSEntity_Quad_Triangle] = nbFaces3;
723 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces4;
724 int nbbndedges = nbdown + nbup + nbright + nbleft -4;
725 int nbintedges = (nbFaces4*4 + nbFaces3*3 - nbbndedges) / 2;
726 aVec[SMDSEntity_Node] = nbNodes + nbintedges;
727 if (aNbNodes.size()==5) {
728 aVec[SMDSEntity_Quad_Triangle] = nbFaces3 + aNbNodes[3] -1;
729 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces4 - aNbNodes[3] +1;
733 aVec[SMDSEntity_Node] = nbNodes;
734 aVec[SMDSEntity_Triangle] = nbFaces3;
735 aVec[SMDSEntity_Quadrangle] = nbFaces4;
736 if (aNbNodes.size()==5) {
737 aVec[SMDSEntity_Triangle] = nbFaces3 + aNbNodes[3] - 1;
738 aVec[SMDSEntity_Quadrangle] = nbFaces4 - aNbNodes[3] + 1;
741 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
742 aResMap.insert(std::make_pair(sm,aVec));
748 //================================================================================
750 * \brief Return true if only two given edges meat at their common vertex
752 //================================================================================
754 static bool twoEdgesMeatAtVertex(const TopoDS_Edge& e1,
755 const TopoDS_Edge& e2,
759 if (!TopExp::CommonVertex(e1, e2, v))
761 TopTools_ListIteratorOfListOfShape ancestIt(mesh.GetAncestors(v));
762 for (; ancestIt.More() ; ancestIt.Next())
763 if (ancestIt.Value().ShapeType() == TopAbs_EDGE)
764 if (!e1.IsSame(ancestIt.Value()) && !e2.IsSame(ancestIt.Value()))
769 //=============================================================================
773 //=============================================================================
775 FaceQuadStruct* StdMeshers_Quadrangle_2D::CheckNbEdges(SMESH_Mesh & aMesh,
776 const TopoDS_Shape & aShape)
777 //throw(SALOME_Exception)
779 const TopoDS_Face & F = TopoDS::Face(aShape);
780 const bool ignoreMediumNodes = _quadraticMesh;
782 // verify 1 wire only, with 4 edges
784 list< TopoDS_Edge > edges;
785 list< int > nbEdgesInWire;
786 int nbWire = SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
788 error(COMPERR_BAD_SHAPE, TComm("Wrong number of wires: ") << nbWire);
791 FaceQuadStruct* quad = new FaceQuadStruct;
793 quad->side.reserve(nbEdgesInWire.front());
796 list< TopoDS_Edge >::iterator edgeIt = edges.begin();
797 if (nbEdgesInWire.front() == 3) // exactly 3 edges
799 SMESH_Comment comment;
800 SMESHDS_Mesh* meshDS = aMesh.GetMeshDS();
801 if (myTriaVertexID == -1)
803 comment << "No Base vertex parameter provided for a trilateral geometrical face";
807 TopoDS_Vertex V = TopoDS::Vertex(meshDS->IndexToShape(myTriaVertexID));
809 TopoDS_Edge E1,E2,E3;
810 for (; edgeIt != edges.end(); ++edgeIt) {
811 TopoDS_Edge E = *edgeIt;
812 TopoDS_Vertex VF, VL;
813 TopExp::Vertices(E, VF, VL, true);
816 else if (VL.IsSame(V))
821 if (!E1.IsNull() && !E2.IsNull() && !E3.IsNull())
823 quad->side.push_back(new StdMeshers_FaceSide(F, E1, &aMesh, true, ignoreMediumNodes));
824 quad->side.push_back(new StdMeshers_FaceSide(F, E2, &aMesh, true, ignoreMediumNodes));
825 quad->side.push_back(new StdMeshers_FaceSide(F, E3, &aMesh, false,ignoreMediumNodes));
826 const vector<UVPtStruct>& UVPSleft = quad->side[0]->GetUVPtStruct(true,0);
827 /* vector<UVPtStruct>& UVPStop = */quad->side[1]->GetUVPtStruct(false,1);
828 /* vector<UVPtStruct>& UVPSright = */quad->side[2]->GetUVPtStruct(true,1);
829 const SMDS_MeshNode* aNode = UVPSleft[0].node;
830 gp_Pnt2d aPnt2d(UVPSleft[0].u, UVPSleft[0].v);
831 quad->side.push_back(new StdMeshers_FaceSide(aNode, aPnt2d, quad->side[1]));
835 comment << "Invalid Base vertex parameter: " << myTriaVertexID << " is not among [";
836 TopTools_MapOfShape vMap;
837 for (TopExp_Explorer v(aShape, TopAbs_VERTEX); v.More(); v.Next())
838 if (vMap.Add(v.Current()))
839 comment << meshDS->ShapeToIndex(v.Current()) << (vMap.Extent()==3 ? "]" : ", ");
845 else if (nbEdgesInWire.front() == 4) { // exactly 4 edges
846 for (; edgeIt != edges.end(); ++edgeIt, nbSides++)
847 quad->side.push_back(new StdMeshers_FaceSide(F, *edgeIt, &aMesh,
848 nbSides<TOP_SIDE, ignoreMediumNodes));
850 else if (nbEdgesInWire.front() > 4) { // more than 4 edges - try to unite some
851 list< TopoDS_Edge > sideEdges;
852 while (!edges.empty()) {
854 sideEdges.splice(sideEdges.end(), edges, edges.begin()); // edges.front() -> sideEdges.end()
855 bool sameSide = true;
856 while (!edges.empty() && sameSide) {
857 sameSide = SMESH_Algo::IsContinuous(sideEdges.back(), edges.front());
859 sideEdges.splice(sideEdges.end(), edges, edges.begin());
861 if (nbSides == 0) { // go backward from the first edge
863 while (!edges.empty() && sameSide) {
864 sameSide = SMESH_Algo::IsContinuous(sideEdges.front(), edges.back());
866 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
869 quad->side.push_back(new StdMeshers_FaceSide(F, sideEdges, &aMesh,
870 nbSides<TOP_SIDE, ignoreMediumNodes));
873 // issue 20222. Try to unite only edges shared by two same faces
875 // delete found sides
876 { FaceQuadStruct cleaner(*quad); }
878 quad->side.reserve(nbEdgesInWire.front());
881 SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
882 while (!edges.empty()) {
884 sideEdges.splice(sideEdges.end(), edges, edges.begin());
885 bool sameSide = true;
886 while (!edges.empty() && sameSide) {
888 SMESH_Algo::IsContinuous(sideEdges.back(), edges.front()) &&
889 twoEdgesMeatAtVertex(sideEdges.back(), edges.front(), aMesh);
891 sideEdges.splice(sideEdges.end(), edges, edges.begin());
893 if (nbSides == 0) { // go backward from the first edge
895 while (!edges.empty() && sameSide) {
897 SMESH_Algo::IsContinuous(sideEdges.front(), edges.back()) &&
898 twoEdgesMeatAtVertex(sideEdges.front(), edges.back(), aMesh);
900 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
903 quad->side.push_back(new StdMeshers_FaceSide(F, sideEdges, &aMesh,
904 nbSides<TOP_SIDE, ignoreMediumNodes));
911 MESSAGE ("StdMeshers_Quadrangle_2D. Edge IDs of " << nbSides << " sides:\n");
912 for (int i = 0; i < nbSides; ++i) {
914 for (int e = 0; e < quad->side[i]->NbEdges(); ++e)
915 MESSAGE (myTool->GetMeshDS()->ShapeToIndex(quad->side[i]->Edge(e)) << " ");
921 nbSides = nbEdgesInWire.front();
922 error(COMPERR_BAD_SHAPE, TComm("Face must have 4 sides but not ") << nbSides);
931 //=============================================================================
935 //=============================================================================
937 bool StdMeshers_Quadrangle_2D::CheckNbEdgesForEvaluate(SMESH_Mesh& aMesh,
938 const TopoDS_Shape & aShape,
939 MapShapeNbElems& aResMap,
940 std::vector<int>& aNbNodes,
944 const TopoDS_Face & F = TopoDS::Face(aShape);
946 // verify 1 wire only, with 4 edges
948 list< TopoDS_Edge > edges;
949 list< int > nbEdgesInWire;
950 int nbWire = SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
958 list< TopoDS_Edge >::iterator edgeIt = edges.begin();
959 SMESH_subMesh * sm = aMesh.GetSubMesh(*edgeIt);
960 MapShapeNbElemsItr anIt = aResMap.find(sm);
961 if (anIt==aResMap.end()) {
964 std::vector<int> aVec = (*anIt).second;
965 IsQuadratic = (aVec[SMDSEntity_Quad_Edge] > aVec[SMDSEntity_Edge]);
966 if (nbEdgesInWire.front() == 3) { // exactly 3 edges
967 if (myTriaVertexID>0) {
968 SMESHDS_Mesh* meshDS = aMesh.GetMeshDS();
969 TopoDS_Vertex V = TopoDS::Vertex(meshDS->IndexToShape(myTriaVertexID));
971 TopoDS_Edge E1,E2,E3;
972 for (; edgeIt != edges.end(); ++edgeIt) {
973 TopoDS_Edge E = TopoDS::Edge(*edgeIt);
974 TopoDS_Vertex VF, VL;
975 TopExp::Vertices(E, VF, VL, true);
978 else if (VL.IsSame(V))
983 SMESH_subMesh * sm = aMesh.GetSubMesh(E1);
984 MapShapeNbElemsItr anIt = aResMap.find(sm);
985 if (anIt==aResMap.end()) return false;
986 std::vector<int> aVec = (*anIt).second;
988 aNbNodes[0] = (aVec[SMDSEntity_Node]-1)/2 + 2;
990 aNbNodes[0] = aVec[SMDSEntity_Node] + 2;
991 sm = aMesh.GetSubMesh(E2);
992 anIt = aResMap.find(sm);
993 if (anIt==aResMap.end()) return false;
994 aVec = (*anIt).second;
996 aNbNodes[1] = (aVec[SMDSEntity_Node]-1)/2 + 2;
998 aNbNodes[1] = aVec[SMDSEntity_Node] + 2;
999 sm = aMesh.GetSubMesh(E3);
1000 anIt = aResMap.find(sm);
1001 if (anIt==aResMap.end()) return false;
1002 aVec = (*anIt).second;
1004 aNbNodes[2] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1006 aNbNodes[2] = aVec[SMDSEntity_Node] + 2;
1007 aNbNodes[3] = aNbNodes[1];
1013 if (nbEdgesInWire.front() == 4) { // exactly 4 edges
1014 for (; edgeIt != edges.end(); edgeIt++) {
1015 SMESH_subMesh * sm = aMesh.GetSubMesh(*edgeIt);
1016 MapShapeNbElemsItr anIt = aResMap.find(sm);
1017 if (anIt==aResMap.end()) {
1020 std::vector<int> aVec = (*anIt).second;
1022 aNbNodes[nbSides] = (aVec[SMDSEntity_Node]-1)/2 + 2;
1024 aNbNodes[nbSides] = aVec[SMDSEntity_Node] + 2;
1028 else if (nbEdgesInWire.front() > 4) { // more than 4 edges - try to unite some
1029 list< TopoDS_Edge > sideEdges;
1030 while (!edges.empty()) {
1032 sideEdges.splice(sideEdges.end(), edges, edges.begin()); // edges.front() -> sideEdges.end()
1033 bool sameSide = true;
1034 while (!edges.empty() && sameSide) {
1035 sameSide = SMESH_Algo::IsContinuous(sideEdges.back(), edges.front());
1037 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1039 if (nbSides == 0) { // go backward from the first edge
1041 while (!edges.empty() && sameSide) {
1042 sameSide = SMESH_Algo::IsContinuous(sideEdges.front(), edges.back());
1044 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
1047 list<TopoDS_Edge>::iterator ite = sideEdges.begin();
1048 aNbNodes[nbSides] = 1;
1049 for (; ite!=sideEdges.end(); ite++) {
1050 SMESH_subMesh * sm = aMesh.GetSubMesh(*ite);
1051 MapShapeNbElemsItr anIt = aResMap.find(sm);
1052 if (anIt==aResMap.end()) {
1055 std::vector<int> aVec = (*anIt).second;
1057 aNbNodes[nbSides] += (aVec[SMDSEntity_Node]-1)/2 + 1;
1059 aNbNodes[nbSides] += aVec[SMDSEntity_Node] + 1;
1063 // issue 20222. Try to unite only edges shared by two same faces
1066 SMESH_Block::GetOrderedEdges (F, V, edges, nbEdgesInWire);
1067 while (!edges.empty()) {
1069 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1070 bool sameSide = true;
1071 while (!edges.empty() && sameSide) {
1073 SMESH_Algo::IsContinuous(sideEdges.back(), edges.front()) &&
1074 twoEdgesMeatAtVertex(sideEdges.back(), edges.front(), aMesh);
1076 sideEdges.splice(sideEdges.end(), edges, edges.begin());
1078 if (nbSides == 0) { // go backward from the first edge
1080 while (!edges.empty() && sameSide) {
1082 SMESH_Algo::IsContinuous(sideEdges.front(), edges.back()) &&
1083 twoEdgesMeatAtVertex(sideEdges.front(), edges.back(), aMesh);
1085 sideEdges.splice(sideEdges.begin(), edges, --edges.end());
1088 list<TopoDS_Edge>::iterator ite = sideEdges.begin();
1089 aNbNodes[nbSides] = 1;
1090 for (; ite!=sideEdges.end(); ite++) {
1091 SMESH_subMesh * sm = aMesh.GetSubMesh(*ite);
1092 MapShapeNbElemsItr anIt = aResMap.find(sm);
1093 if (anIt==aResMap.end()) {
1096 std::vector<int> aVec = (*anIt).second;
1098 aNbNodes[nbSides] += (aVec[SMDSEntity_Node]-1)/2 + 1;
1100 aNbNodes[nbSides] += aVec[SMDSEntity_Node] + 1;
1108 nbSides = nbEdgesInWire.front();
1109 error(COMPERR_BAD_SHAPE, TComm("Face must have 4 sides but not ") << nbSides);
1117 //=============================================================================
1121 //=============================================================================
1123 FaceQuadStruct *StdMeshers_Quadrangle_2D::CheckAnd2Dcompute
1124 (SMESH_Mesh & aMesh,
1125 const TopoDS_Shape & aShape,
1126 const bool CreateQuadratic) //throw(SALOME_Exception)
1128 _quadraticMesh = CreateQuadratic;
1130 FaceQuadStruct *quad = CheckNbEdges(aMesh, aShape);
1132 if (!quad) return 0;
1134 // set normalized grid on unit square in parametric domain
1135 bool stat = SetNormalizedGrid(aMesh, aShape, quad);
1137 if (quad) delete quad;
1144 //=============================================================================
1148 //=============================================================================
1150 faceQuadStruct::~faceQuadStruct()
1152 for (int i = 0; i < side.size(); i++) {
1153 if (side[i]) delete side[i];
1155 if (uv_grid) delete [] uv_grid;
1159 inline const vector<UVPtStruct>& GetUVPtStructIn(FaceQuadStruct* quad, int i, int nbSeg)
1161 bool isXConst = (i == BOTTOM_SIDE || i == TOP_SIDE);
1162 double constValue = (i == BOTTOM_SIDE || i == LEFT_SIDE) ? 0 : 1;
1164 quad->isEdgeOut[i] ?
1165 quad->side[i]->SimulateUVPtStruct(nbSeg,isXConst,constValue) :
1166 quad->side[i]->GetUVPtStruct(isXConst,constValue);
1170 //=============================================================================
1174 //=============================================================================
1176 bool StdMeshers_Quadrangle_2D::SetNormalizedGrid (SMESH_Mesh & aMesh,
1177 const TopoDS_Shape& aShape,
1178 FaceQuadStruct* & quad) //throw (SALOME_Exception)
1180 // Algorithme décrit dans "Génération automatique de maillages"
1181 // P.L. GEORGE, MASSON, § 6.4.1 p. 84-85
1182 // traitement dans le domaine paramétrique 2d u,v
1183 // transport - projection sur le carré unité
1185 // MESSAGE("StdMeshers_Quadrangle_2D::SetNormalizedGrid");
1186 // const TopoDS_Face& F = TopoDS::Face(aShape);
1188 // 1 --- find orientation of the 4 edges, by test on extrema
1191 // |<----north-2-------^ a3 -------------> a2
1193 // west-3 east-1 =right | |
1197 // v----south-0--------> a0 -------------> a1
1202 // 3 --- 2D normalized values on unit square [0..1][0..1]
1204 int nbhoriz = Min(quad->side[0]->NbPoints(), quad->side[2]->NbPoints());
1205 int nbvertic = Min(quad->side[1]->NbPoints(), quad->side[3]->NbPoints());
1207 quad->isEdgeOut[0] = (quad->side[0]->NbPoints() > quad->side[2]->NbPoints());
1208 quad->isEdgeOut[1] = (quad->side[1]->NbPoints() > quad->side[3]->NbPoints());
1209 quad->isEdgeOut[2] = (quad->side[2]->NbPoints() > quad->side[0]->NbPoints());
1210 quad->isEdgeOut[3] = (quad->side[3]->NbPoints() > quad->side[1]->NbPoints());
1212 UVPtStruct *uv_grid = quad->uv_grid = new UVPtStruct[nbvertic * nbhoriz];
1214 const vector<UVPtStruct>& uv_e0 = GetUVPtStructIn(quad, 0, nbhoriz - 1);
1215 const vector<UVPtStruct>& uv_e1 = GetUVPtStructIn(quad, 1, nbvertic - 1);
1216 const vector<UVPtStruct>& uv_e2 = GetUVPtStructIn(quad, 2, nbhoriz - 1);
1217 const vector<UVPtStruct>& uv_e3 = GetUVPtStructIn(quad, 3, nbvertic - 1);
1219 if (uv_e0.empty() || uv_e1.empty() || uv_e2.empty() || uv_e3.empty())
1220 //return error("Can't find nodes on sides");
1221 return error(COMPERR_BAD_INPUT_MESH);
1223 // nodes Id on "in" edges
1224 if (! quad->isEdgeOut[0]) {
1226 for (int i = 0; i < nbhoriz; i++) { // down
1227 int ij = j * nbhoriz + i;
1228 uv_grid[ij].node = uv_e0[i].node;
1231 if (! quad->isEdgeOut[1]) {
1232 int i = nbhoriz - 1;
1233 for (int j = 0; j < nbvertic; j++) { // right
1234 int ij = j * nbhoriz + i;
1235 uv_grid[ij].node = uv_e1[j].node;
1238 if (! quad->isEdgeOut[2]) {
1239 int j = nbvertic - 1;
1240 for (int i = 0; i < nbhoriz; i++) { // up
1241 int ij = j * nbhoriz + i;
1242 uv_grid[ij].node = uv_e2[i].node;
1245 if (! quad->isEdgeOut[3]) {
1247 for (int j = 0; j < nbvertic; j++) { // left
1248 int ij = j * nbhoriz + i;
1249 uv_grid[ij].node = uv_e3[j].node;
1253 // normalized 2d values on grid
1254 for (int i = 0; i < nbhoriz; i++) {
1255 for (int j = 0; j < nbvertic; j++) {
1256 int ij = j * nbhoriz + i;
1257 // --- droite i cste : x = x0 + y(x1-x0)
1258 double x0 = uv_e0[i].normParam; // bas - sud
1259 double x1 = uv_e2[i].normParam; // haut - nord
1260 // --- droite j cste : y = y0 + x(y1-y0)
1261 double y0 = uv_e3[j].normParam; // gauche-ouest
1262 double y1 = uv_e1[j].normParam; // droite - est
1263 // --- intersection : x=x0+(y0+x(y1-y0))(x1-x0)
1264 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
1265 double y = y0 + x * (y1 - y0);
1268 //MESSAGE("-xy-01 "<<x0<<" "<<x1<<" "<<y0<<" "<<y1);
1269 //MESSAGE("-xy-norm "<<i<<" "<<j<<" "<<x<<" "<<y);
1273 // 4 --- projection on 2d domain (u,v)
1274 gp_UV a0(uv_e0.front().u, uv_e0.front().v);
1275 gp_UV a1(uv_e0.back().u, uv_e0.back().v);
1276 gp_UV a2(uv_e2.back().u, uv_e2.back().v);
1277 gp_UV a3(uv_e2.front().u, uv_e2.front().v);
1279 for (int i = 0; i < nbhoriz; i++) {
1280 for (int j = 0; j < nbvertic; j++) {
1281 int ij = j * nbhoriz + i;
1282 double x = uv_grid[ij].x;
1283 double y = uv_grid[ij].y;
1284 double param_0 = uv_e0[0].normParam + x * (uv_e0.back().normParam - uv_e0[0].normParam); // sud
1285 double param_2 = uv_e2[0].normParam + x * (uv_e2.back().normParam - uv_e2[0].normParam); // nord
1286 double param_1 = uv_e1[0].normParam + y * (uv_e1.back().normParam - uv_e1[0].normParam); // est
1287 double param_3 = uv_e3[0].normParam + y * (uv_e3.back().normParam - uv_e3[0].normParam); // ouest
1289 //MESSAGE("params "<<param_0<<" "<<param_1<<" "<<param_2<<" "<<param_3);
1290 gp_UV p0 = quad->side[0]->Value2d(param_0).XY();
1291 gp_UV p1 = quad->side[1]->Value2d(param_1).XY();
1292 gp_UV p2 = quad->side[2]->Value2d(param_2).XY();
1293 gp_UV p3 = quad->side[3]->Value2d(param_3).XY();
1295 gp_UV uv = (1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3;
1296 uv -= (1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3;
1298 uv_grid[ij].u = uv.X();
1299 uv_grid[ij].v = uv.Y();
1305 //=======================================================================
1306 //function : ShiftQuad
1307 //purpose : auxilary function for ComputeQuadPref
1308 //=======================================================================
1310 static void ShiftQuad(FaceQuadStruct* quad, const int num, bool)
1312 StdMeshers_FaceSide* side[4] = { quad->side[0], quad->side[1], quad->side[2], quad->side[3] };
1313 for (int i = BOTTOM_SIDE; i < NB_SIDES; ++i) {
1314 int id = (i + num) % NB_SIDES;
1315 bool wasForward = (i < TOP_SIDE);
1316 bool newForward = (id < TOP_SIDE);
1317 if (wasForward != newForward)
1318 side[ i ]->Reverse();
1319 quad->side[ id ] = side[ i ];
1323 //=======================================================================
1325 //purpose : auxilary function for ComputeQuadPref
1326 //=======================================================================
1328 static gp_UV CalcUV(double x0, double x1, double y0, double y1,
1329 FaceQuadStruct* quad,
1330 const gp_UV& a0, const gp_UV& a1,
1331 const gp_UV& a2, const gp_UV& a3)
1333 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
1334 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
1335 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
1336 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
1338 double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
1339 double y = y0 + x * (y1 - y0);
1341 double param_b = uv_eb[0].normParam + x * (uv_eb.back().normParam - uv_eb[0].normParam);
1342 double param_t = uv_et[0].normParam + x * (uv_et.back().normParam - uv_et[0].normParam);
1343 double param_r = uv_er[0].normParam + y * (uv_er.back().normParam - uv_er[0].normParam);
1344 double param_l = uv_el[0].normParam + y * (uv_el.back().normParam - uv_el[0].normParam);
1346 gp_UV p0 = quad->side[BOTTOM_SIDE]->Value2d(param_b).XY();
1347 gp_UV p1 = quad->side[RIGHT_SIDE ]->Value2d(param_r).XY();
1348 gp_UV p2 = quad->side[TOP_SIDE ]->Value2d(param_t).XY();
1349 gp_UV p3 = quad->side[LEFT_SIDE ]->Value2d(param_l).XY();
1351 gp_UV uv = p0 * (1 - y) + p1 * x + p2 * y + p3 * (1 - x);
1353 uv -= (1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3;
1358 //=======================================================================
1359 //function : CalcUV2
1360 //purpose : auxilary function for ComputeQuadPref
1361 //=======================================================================
1363 static gp_UV CalcUV2(double x, double y,
1364 FaceQuadStruct* quad,
1365 const gp_UV& a0, const gp_UV& a1,
1366 const gp_UV& a2, const gp_UV& a3)
1368 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
1369 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
1370 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
1371 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
1373 //double x = (x0 + y0 * (x1 - x0)) / (1 - (y1 - y0) * (x1 - x0));
1374 //double y = y0 + x * (y1 - y0);
1376 double param_b = uv_eb[0].normParam + x * (uv_eb.back().normParam - uv_eb[0].normParam);
1377 double param_t = uv_et[0].normParam + x * (uv_et.back().normParam - uv_et[0].normParam);
1378 double param_r = uv_er[0].normParam + y * (uv_er.back().normParam - uv_er[0].normParam);
1379 double param_l = uv_el[0].normParam + y * (uv_el.back().normParam - uv_el[0].normParam);
1381 gp_UV p0 = quad->side[BOTTOM_SIDE]->Value2d(param_b).XY();
1382 gp_UV p1 = quad->side[RIGHT_SIDE ]->Value2d(param_r).XY();
1383 gp_UV p2 = quad->side[TOP_SIDE ]->Value2d(param_t).XY();
1384 gp_UV p3 = quad->side[LEFT_SIDE ]->Value2d(param_l).XY();
1386 gp_UV uv = p0 * (1 - y) + p1 * x + p2 * y + p3 * (1 - x);
1388 uv -= (1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3;
1394 //=======================================================================
1396 * Create only quandrangle faces
1398 //=======================================================================
1400 bool StdMeshers_Quadrangle_2D::ComputeQuadPref (SMESH_Mesh & aMesh,
1401 const TopoDS_Shape& aShape,
1402 FaceQuadStruct* quad)
1404 // Auxilary key in order to keep old variant
1405 // of meshing after implementation new variant
1406 // for bug 0016220 from Mantis.
1407 bool OldVersion = false;
1408 if (myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
1411 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
1412 const TopoDS_Face& F = TopoDS::Face(aShape);
1413 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
1415 int i,j,geomFaceID = meshDS->ShapeToIndex(F);
1417 int nb = quad->side[0]->NbPoints();
1418 int nr = quad->side[1]->NbPoints();
1419 int nt = quad->side[2]->NbPoints();
1420 int nl = quad->side[3]->NbPoints();
1421 int dh = abs(nb-nt);
1422 int dv = abs(nr-nl);
1426 // it is a base case => not shift quad but me be replacement is need
1427 ShiftQuad(quad,0,WisF);
1430 // we have to shift quad on 2
1431 ShiftQuad(quad,2,WisF);
1436 // we have to shift quad on 1
1437 ShiftQuad(quad,1,WisF);
1440 // we have to shift quad on 3
1441 ShiftQuad(quad,3,WisF);
1445 nb = quad->side[0]->NbPoints();
1446 nr = quad->side[1]->NbPoints();
1447 nt = quad->side[2]->NbPoints();
1448 nl = quad->side[3]->NbPoints();
1451 int nbh = Max(nb,nt);
1452 int nbv = Max(nr,nl);
1456 // ----------- Old version ---------------
1457 // orientation of face and 3 main domain for future faces
1463 // left | | | | rigth
1470 // ----------- New version ---------------
1471 // orientation of face and 3 main domain for future faces
1477 // left |/________\| rigth
1493 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
1494 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
1495 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
1496 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
1498 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
1499 return error(COMPERR_BAD_INPUT_MESH);
1501 // arrays for normalized params
1502 //cout<<"Dump B:"<<endl;
1503 TColStd_SequenceOfReal npb, npr, npt, npl;
1504 for (i=0; i<nb; i++) {
1505 npb.Append(uv_eb[i].normParam);
1506 //cout<<"i="<<i<<" par="<<uv_eb[i].normParam<<" npar="<<uv_eb[i].normParam;
1507 //const SMDS_MeshNode* N = uv_eb[i].node;
1508 //cout<<" node("<<N->X()<<","<<N->Y()<<","<<N->Z()<<")"<<endl;
1510 for (i=0; i<nr; i++) {
1511 npr.Append(uv_er[i].normParam);
1513 for (i=0; i<nt; i++) {
1514 npt.Append(uv_et[i].normParam);
1516 for (i=0; i<nl; i++) {
1517 npl.Append(uv_el[i].normParam);
1522 // add some params to right and left after the first param
1525 double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
1526 for (i=1; i<=dr; i++) {
1527 npr.InsertAfter(1,npr.Value(2)-dpr);
1531 dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
1532 for (i=1; i<=dl; i++) {
1533 npl.InsertAfter(1,npl.Value(2)-dpr);
1537 //for (i=1; i<=npb.Length(); i++) {
1538 // cout<<" "<<npb.Value(i);
1542 gp_XY a0(uv_eb.front().u, uv_eb.front().v);
1543 gp_XY a1(uv_eb.back().u, uv_eb.back().v);
1544 gp_XY a2(uv_et.back().u, uv_et.back().v);
1545 gp_XY a3(uv_et.front().u, uv_et.front().v);
1546 //cout<<" a0("<<a0.X()<<","<<a0.Y()<<")"<<" a1("<<a1.X()<<","<<a1.Y()<<")"
1547 // <<" a2("<<a2.X()<<","<<a2.Y()<<")"<<" a3("<<a3.X()<<","<<a3.Y()<<")"<<endl;
1549 int nnn = Min(nr,nl);
1550 // auxilary sequence of XY for creation nodes
1551 // in the bottom part of central domain
1552 // it's length must be == nbv-nnn-1
1553 TColgp_SequenceOfXY UVL;
1554 TColgp_SequenceOfXY UVR;
1557 // step1: create faces for left domain
1558 StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
1560 for (j=1; j<=nl; j++)
1561 NodesL.SetValue(1,j,uv_el[j-1].node);
1564 for (i=1; i<=dl; i++)
1565 NodesL.SetValue(i+1,nl,uv_et[i].node);
1566 // create and add needed nodes
1567 TColgp_SequenceOfXY UVtmp;
1568 for (i=1; i<=dl; i++) {
1569 double x0 = npt.Value(i+1);
1572 double y0 = npl.Value(i+1);
1573 double y1 = npr.Value(i+1);
1574 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1575 gp_Pnt P = S->Value(UV.X(),UV.Y());
1576 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1577 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1578 NodesL.SetValue(i+1,1,N);
1579 if (UVL.Length()<nbv-nnn-1) UVL.Append(UV);
1581 for (j=2; j<nl; j++) {
1582 double y0 = npl.Value(dl+j);
1583 double y1 = npr.Value(dl+j);
1584 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1585 gp_Pnt P = S->Value(UV.X(),UV.Y());
1586 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1587 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1588 NodesL.SetValue(i+1,j,N);
1589 if (i==dl) UVtmp.Append(UV);
1592 for (i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn-1; i++) {
1593 UVL.Append(UVtmp.Value(i));
1595 //cout<<"Dump NodesL:"<<endl;
1596 //for (i=1; i<=dl+1; i++) {
1598 // for (j=1; j<=nl; j++) {
1599 // cout<<" ("<<NodesL.Value(i,j)->X()<<","<<NodesL.Value(i,j)->Y()<<","<<NodesL.Value(i,j)->Z()<<")";
1604 for (i=1; i<=dl; i++) {
1605 for (j=1; j<nl; j++) {
1608 myTool->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
1609 NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
1610 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1614 myTool->AddFace(NodesL.Value(i,j), NodesL.Value(i,j+1),
1615 NodesL.Value(i+1,j+1), NodesL.Value(i+1,j));
1616 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1622 // fill UVL using c2d
1623 for (i=1; i<npl.Length() && UVL.Length()<nbv-nnn-1; i++) {
1624 UVL.Append(gp_UV (uv_el[i].u, uv_el[i].v));
1628 // step2: create faces for right domain
1629 StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
1631 for (j=1; j<=nr; j++)
1632 NodesR.SetValue(1,j,uv_er[nr-j].node);
1635 for (i=1; i<=dr; i++)
1636 NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
1637 // create and add needed nodes
1638 TColgp_SequenceOfXY UVtmp;
1639 for (i=1; i<=dr; i++) {
1640 double x0 = npt.Value(nt-i);
1643 double y0 = npl.Value(i+1);
1644 double y1 = npr.Value(i+1);
1645 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1646 gp_Pnt P = S->Value(UV.X(),UV.Y());
1647 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1648 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1649 NodesR.SetValue(i+1,nr,N);
1650 if (UVR.Length()<nbv-nnn-1) UVR.Append(UV);
1652 for (j=2; j<nr; j++) {
1653 double y0 = npl.Value(nbv-j+1);
1654 double y1 = npr.Value(nbv-j+1);
1655 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1656 gp_Pnt P = S->Value(UV.X(),UV.Y());
1657 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1658 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1659 NodesR.SetValue(i+1,j,N);
1660 if (i==dr) UVtmp.Prepend(UV);
1663 for (i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn-1; i++) {
1664 UVR.Append(UVtmp.Value(i));
1667 for (i=1; i<=dr; i++) {
1668 for (j=1; j<nr; j++) {
1671 myTool->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
1672 NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
1673 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1677 myTool->AddFace(NodesR.Value(i,j), NodesR.Value(i,j+1),
1678 NodesR.Value(i+1,j+1), NodesR.Value(i+1,j));
1679 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1685 // fill UVR using c2d
1686 for (i=1; i<npr.Length() && UVR.Length()<nbv-nnn-1; i++) {
1687 UVR.Append(gp_UV(uv_er[i].u, uv_er[i].v));
1691 // step3: create faces for central domain
1692 StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
1693 // add first string using NodesL
1694 for (i=1; i<=dl+1; i++)
1695 NodesC.SetValue(1,i,NodesL(i,1));
1696 for (i=2; i<=nl; i++)
1697 NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
1698 // add last string using NodesR
1699 for (i=1; i<=dr+1; i++)
1700 NodesC.SetValue(nb,i,NodesR(i,nr));
1701 for (i=1; i<nr; i++)
1702 NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
1703 // add top nodes (last columns)
1704 for (i=dl+2; i<nbh-dr; i++)
1705 NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
1706 // add bottom nodes (first columns)
1707 for (i=2; i<nb; i++)
1708 NodesC.SetValue(i,1,uv_eb[i-1].node);
1710 // create and add needed nodes
1711 // add linear layers
1712 for (i=2; i<nb; i++) {
1713 double x0 = npt.Value(dl+i);
1715 for (j=1; j<nnn; j++) {
1716 double y0 = npl.Value(nbv-nnn+j);
1717 double y1 = npr.Value(nbv-nnn+j);
1718 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
1719 gp_Pnt P = S->Value(UV.X(),UV.Y());
1720 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1721 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1722 NodesC.SetValue(i,nbv-nnn+j,N);
1725 // add diagonal layers
1726 //cout<<"UVL.Length()="<<UVL.Length()<<" UVR.Length()="<<UVR.Length()<<endl;
1727 //cout<<"Dump UVL:"<<endl;
1728 //for (i=1; i<=UVL.Length(); i++) {
1729 // cout<<" ("<<UVL.Value(i).X()<<","<<UVL.Value(i).Y()<<")";
1732 for (i=1; i<nbv-nnn; i++) {
1733 double du = UVR.Value(i).X() - UVL.Value(i).X();
1734 double dv = UVR.Value(i).Y() - UVL.Value(i).Y();
1735 for (j=2; j<nb; j++) {
1736 double u = UVL.Value(i).X() + du*npb.Value(j);
1737 double v = UVL.Value(i).Y() + dv*npb.Value(j);
1738 gp_Pnt P = S->Value(u,v);
1739 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1740 meshDS->SetNodeOnFace(N, geomFaceID, u, v);
1741 NodesC.SetValue(j,i+1,N);
1745 for (i=1; i<nb; i++) {
1746 for (j=1; j<nbv; j++) {
1749 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
1750 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
1751 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1755 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i,j+1),
1756 NodesC.Value(i+1,j+1), NodesC.Value(i+1,j));
1757 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1763 else { // New version (!OldVersion)
1764 // step1: create faces for bottom rectangle domain
1765 StdMeshers_Array2OfNode NodesBRD(1,nb,1,nnn-1);
1766 // fill UVL and UVR using c2d
1767 for (j=0; j<nb; j++) {
1768 NodesBRD.SetValue(j+1,1,uv_eb[j].node);
1770 for (i=1; i<nnn-1; i++) {
1771 NodesBRD.SetValue(1,i+1,uv_el[i].node);
1772 NodesBRD.SetValue(nb,i+1,uv_er[i].node);
1773 double du = uv_er[i].u - uv_el[i].u;
1774 double dv = uv_er[i].v - uv_el[i].v;
1775 for (j=2; j<nb; j++) {
1776 double u = uv_el[i].u + du*npb.Value(j);
1777 double v = uv_el[i].v + dv*npb.Value(j);
1778 gp_Pnt P = S->Value(u,v);
1779 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1780 meshDS->SetNodeOnFace(N, geomFaceID, u, v);
1781 NodesBRD.SetValue(j,i+1,N);
1785 for (j=1; j<nnn-1; j++) {
1786 for (i=1; i<nb; i++) {
1789 myTool->AddFace(NodesBRD.Value(i,j), NodesBRD.Value(i+1,j),
1790 NodesBRD.Value(i+1,j+1), NodesBRD.Value(i,j+1));
1791 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1795 myTool->AddFace(NodesBRD.Value(i,j), NodesBRD.Value(i,j+1),
1796 NodesBRD.Value(i+1,j+1), NodesBRD.Value(i+1,j));
1797 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1801 int drl = abs(nr-nl);
1802 // create faces for region C
1803 StdMeshers_Array2OfNode NodesC(1,nb,1,drl+1+addv);
1804 // add nodes from previous region
1805 for (j=1; j<=nb; j++) {
1806 NodesC.SetValue(j,1,NodesBRD.Value(j,nnn-1));
1808 if ((drl+addv) > 0) {
1813 TColgp_SequenceOfXY UVtmp;
1814 double drparam = npr.Value(nr) - npr.Value(nnn-1);
1815 double dlparam = npl.Value(nnn) - npl.Value(nnn-1);
1817 for (i=1; i<=drl; i++) {
1818 // add existed nodes from right edge
1819 NodesC.SetValue(nb,i+1,uv_er[nnn+i-2].node);
1820 //double dtparam = npt.Value(i+1);
1821 y1 = npr.Value(nnn+i-1); // param on right edge
1822 double dpar = (y1 - npr.Value(nnn-1))/drparam;
1823 y0 = npl.Value(nnn-1) + dpar*dlparam; // param on left edge
1824 double dy = y1 - y0;
1825 for (j=1; j<nb; j++) {
1826 double x = npt.Value(i+1) + npb.Value(j)*(1-npt.Value(i+1));
1827 double y = y0 + dy*x;
1828 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1829 gp_Pnt P = S->Value(UV.X(),UV.Y());
1830 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1831 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1832 NodesC.SetValue(j,i+1,N);
1835 double dy0 = (1-y0)/(addv+1);
1836 double dy1 = (1-y1)/(addv+1);
1837 for (i=1; i<=addv; i++) {
1838 double yy0 = y0 + dy0*i;
1839 double yy1 = y1 + dy1*i;
1840 double dyy = yy1 - yy0;
1841 for (j=1; j<=nb; j++) {
1842 double x = npt.Value(i+1+drl) +
1843 npb.Value(j) * (npt.Value(nt-i) - npt.Value(i+1+drl));
1844 double y = yy0 + dyy*x;
1845 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1846 gp_Pnt P = S->Value(UV.X(),UV.Y());
1847 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1848 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1849 NodesC.SetValue(j,i+drl+1,N);
1856 TColgp_SequenceOfXY UVtmp;
1857 double dlparam = npl.Value(nl) - npl.Value(nnn-1);
1858 double drparam = npr.Value(nnn) - npr.Value(nnn-1);
1859 double y0 = npl.Value(nnn-1);
1860 double y1 = npr.Value(nnn-1);
1861 for (i=1; i<=drl; i++) {
1862 // add existed nodes from right edge
1863 NodesC.SetValue(1,i+1,uv_el[nnn+i-2].node);
1864 y0 = npl.Value(nnn+i-1); // param on left edge
1865 double dpar = (y0 - npl.Value(nnn-1))/dlparam;
1866 y1 = npr.Value(nnn-1) + dpar*drparam; // param on right edge
1867 double dy = y1 - y0;
1868 for (j=2; j<=nb; j++) {
1869 double x = npb.Value(j)*npt.Value(nt-i);
1870 double y = y0 + dy*x;
1871 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1872 gp_Pnt P = S->Value(UV.X(),UV.Y());
1873 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1874 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1875 NodesC.SetValue(j,i+1,N);
1878 double dy0 = (1-y0)/(addv+1);
1879 double dy1 = (1-y1)/(addv+1);
1880 for (i=1; i<=addv; i++) {
1881 double yy0 = y0 + dy0*i;
1882 double yy1 = y1 + dy1*i;
1883 double dyy = yy1 - yy0;
1884 for (j=1; j<=nb; j++) {
1885 double x = npt.Value(i+1) +
1886 npb.Value(j) * (npt.Value(nt-i-drl) - npt.Value(i+1));
1887 double y = yy0 + dyy*x;
1888 gp_UV UV = CalcUV2(x, y, quad, a0, a1, a2, a3);
1889 gp_Pnt P = S->Value(UV.X(),UV.Y());
1890 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
1891 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
1892 NodesC.SetValue(j,i+drl+1,N);
1897 for (j=1; j<=drl+addv; j++) {
1898 for (i=1; i<nb; i++) {
1901 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
1902 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
1903 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1907 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i,j+1),
1908 NodesC.Value(i+1,j+1), NodesC.Value(i+1,j));
1909 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1914 StdMeshers_Array2OfNode NodesLast(1,nt,1,2);
1915 for (i=1; i<=nt; i++) {
1916 NodesLast.SetValue(i,2,uv_et[i-1].node);
1919 for (i=n1; i<drl+addv+1; i++) {
1921 NodesLast.SetValue(nnn,1,NodesC.Value(1,i));
1923 for (i=1; i<=nb; i++) {
1925 NodesLast.SetValue(nnn,1,NodesC.Value(i,drl+addv+1));
1927 for (i=drl+addv; i>=n2; i--) {
1929 NodesLast.SetValue(nnn,1,NodesC.Value(nb,i));
1931 for (i=1; i<nt; i++) {
1934 myTool->AddFace(NodesLast.Value(i,1), NodesLast.Value(i+1,1),
1935 NodesLast.Value(i+1,2), NodesLast.Value(i,2));
1936 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1940 myTool->AddFace(NodesLast.Value(i,1), NodesLast.Value(i,2),
1941 NodesLast.Value(i+1,2), NodesLast.Value(i+1,2));
1942 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
1945 } // if ((drl+addv) > 0)
1947 } // end new version implementation
1954 //=======================================================================
1956 * Evaluate only quandrangle faces
1958 //=======================================================================
1960 bool StdMeshers_Quadrangle_2D::EvaluateQuadPref(SMESH_Mesh & aMesh,
1961 const TopoDS_Shape& aShape,
1962 std::vector<int>& aNbNodes,
1963 MapShapeNbElems& aResMap,
1966 // Auxilary key in order to keep old variant
1967 // of meshing after implementation new variant
1968 // for bug 0016220 from Mantis.
1969 bool OldVersion = false;
1970 if (myQuadType == QUAD_QUADRANGLE_PREF_REVERSED)
1973 const TopoDS_Face& F = TopoDS::Face(aShape);
1974 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
1976 int nb = aNbNodes[0];
1977 int nr = aNbNodes[1];
1978 int nt = aNbNodes[2];
1979 int nl = aNbNodes[3];
1980 int dh = abs(nb-nt);
1981 int dv = abs(nr-nl);
1985 // it is a base case => not shift
1988 // we have to shift on 2
1997 // we have to shift quad on 1
2004 // we have to shift quad on 3
2014 int nbh = Max(nb,nt);
2015 int nbv = Max(nr,nl);
2030 // add some params to right and left after the first param
2037 int nnn = Min(nr,nl);
2042 // step1: create faces for left domain
2044 nbNodes += dl*(nl-1);
2045 nbFaces += dl*(nl-1);
2047 // step2: create faces for right domain
2049 nbNodes += dr*(nr-1);
2050 nbFaces += dr*(nr-1);
2052 // step3: create faces for central domain
2053 nbNodes += (nb-2)*(nnn-1) + (nbv-nnn-1)*(nb-2);
2054 nbFaces += (nb-1)*(nbv-1);
2056 else { // New version (!OldVersion)
2057 nbNodes += (nnn-2)*(nb-2);
2058 nbFaces += (nnn-2)*(nb-1);
2059 int drl = abs(nr-nl);
2060 nbNodes += drl*(nb-1) + addv*nb;
2061 nbFaces += (drl+addv)*(nb-1) + (nt-1);
2062 } // end new version implementation
2064 std::vector<int> aVec(SMDSEntity_Last);
2065 for (int i=SMDSEntity_Node; i<SMDSEntity_Last; i++) aVec[i] = 0;
2067 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces;
2068 aVec[SMDSEntity_Node] = nbNodes + nbFaces*4;
2069 if (aNbNodes.size()==5) {
2070 aVec[SMDSEntity_Quad_Triangle] = aNbNodes[3] - 1;
2071 aVec[SMDSEntity_Quad_Quadrangle] = nbFaces - aNbNodes[3] + 1;
2075 aVec[SMDSEntity_Node] = nbNodes;
2076 aVec[SMDSEntity_Quadrangle] = nbFaces;
2077 if (aNbNodes.size()==5) {
2078 aVec[SMDSEntity_Triangle] = aNbNodes[3] - 1;
2079 aVec[SMDSEntity_Quadrangle] = nbFaces - aNbNodes[3] + 1;
2082 SMESH_subMesh * sm = aMesh.GetSubMesh(aShape);
2083 aResMap.insert(std::make_pair(sm,aVec));
2089 //=============================================================================
2090 /*! Split quadrangle in to 2 triangles by smallest diagonal
2093 //=============================================================================
2094 void StdMeshers_Quadrangle_2D::SplitQuad(SMESHDS_Mesh *theMeshDS,
2096 const SMDS_MeshNode* theNode1,
2097 const SMDS_MeshNode* theNode2,
2098 const SMDS_MeshNode* theNode3,
2099 const SMDS_MeshNode* theNode4)
2101 gp_Pnt a(theNode1->X(),theNode1->Y(),theNode1->Z());
2102 gp_Pnt b(theNode2->X(),theNode2->Y(),theNode2->Z());
2103 gp_Pnt c(theNode3->X(),theNode3->Y(),theNode3->Z());
2104 gp_Pnt d(theNode4->X(),theNode4->Y(),theNode4->Z());
2105 SMDS_MeshFace* face;
2106 if (a.Distance(c) > b.Distance(d)){
2107 face = myTool->AddFace(theNode2, theNode4 , theNode1);
2108 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2109 face = myTool->AddFace(theNode2, theNode3, theNode4);
2110 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2114 face = myTool->AddFace(theNode1, theNode2 ,theNode3);
2115 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2116 face = myTool->AddFace(theNode1, theNode3, theNode4);
2117 if (face) theMeshDS->SetMeshElementOnShape(face, theFaceID);
2121 //=======================================================================
2123 * Implementation of Reduced algorithm (meshing with quadrangles only)
2125 //=======================================================================
2126 bool StdMeshers_Quadrangle_2D::ComputeReduced (SMESH_Mesh & aMesh,
2127 const TopoDS_Shape& aShape,
2128 FaceQuadStruct* quad)
2130 SMESHDS_Mesh * meshDS = aMesh.GetMeshDS();
2131 const TopoDS_Face& F = TopoDS::Face(aShape);
2132 Handle(Geom_Surface) S = BRep_Tool::Surface(F);
2133 int i,j,geomFaceID = meshDS->ShapeToIndex(F);
2135 int nb = quad->side[0]->NbPoints();
2136 int nr = quad->side[1]->NbPoints();
2137 int nt = quad->side[2]->NbPoints();
2138 int nl = quad->side[3]->NbPoints();
2140 // Simple Reduce 8->6->4->2 (3 steps) Multiple Reduce 8->2 (1 step)
2142 // .-----.-----.-----.-----. .-----.-----.-----.-----.
2143 // | / \ | / \ | | / \ | / \ |
2144 // | / .--.--. \ | | / \ | / \ |
2145 // | / / | \ \ | | / .----.----. \ |
2146 // .---.---.---.---.---.---. | / / \ | / \ \ |
2147 // | / / \ | / \ \ | | / / \ | / \ \ |
2148 // | / / .-.-. \ \ | | / / .---.---. \ \ |
2149 // | / / / | \ \ \ | | / / / \ | / \ \ \ |
2150 // .--.--.--.--.--.--.--.--. | / / / \ | / \ \ \ |
2151 // | / / / \ | / \ \ \ | | / / / .-.-. \ \ \ |
2152 // | / / / .-.-. \ \ \ | | / / / / | \ \ \ \ |
2153 // | / / / / | \ \ \ \ | | / / / / | \ \ \ \ |
2154 // .-.-.-.--.--.--.--.-.-.-. .-.-.-.--.--.--.--.-.-.-.
2156 bool MultipleReduce = false;
2169 else if (nb == nt) {
2170 nl1 = nb; // and == nt
2171 nr1 = nb; // and == nt
2185 // number of rows and columns
2186 int nrows = nr1 - 1; // and also == nl1 - 1
2187 int ncol_top = nt1 - 1;
2188 int ncol_bot = nb1 - 1;
2189 int npair_top = ncol_top / 2;
2190 // maximum number of bottom elements for "linear" simple reduce
2191 //int max_lin = ncol_top + npair_top * 2 * nrows;
2192 // maximum number of bottom elements for "tree" simple reduce
2193 int max_tree = npair_top * pow(2.0, nrows + 1);
2194 if (ncol_top > npair_top * 2) {
2195 int delta = ncol_bot - max_tree;
2196 for (int irow = 1; irow < nrows; irow++) {
2197 int nfour = delta / 4;
2200 if (delta <= (ncol_top - npair_top * 2))
2201 max_tree = ncol_bot;
2204 if (ncol_bot > max_tree)
2205 MultipleReduce = true;
2208 if (MultipleReduce) { // == ComputeQuadPref QUAD_QUADRANGLE_PREF_REVERSED
2209 //==================================================
2210 int dh = abs(nb-nt);
2211 int dv = abs(nr-nl);
2215 // it is a base case => not shift quad but may be replacement is need
2216 ShiftQuad(quad,0,true);
2219 // we have to shift quad on 2
2220 ShiftQuad(quad,2,true);
2225 // we have to shift quad on 1
2226 ShiftQuad(quad,1,true);
2229 // we have to shift quad on 3
2230 ShiftQuad(quad,3,true);
2234 nb = quad->side[0]->NbPoints();
2235 nr = quad->side[1]->NbPoints();
2236 nt = quad->side[2]->NbPoints();
2237 nl = quad->side[3]->NbPoints();
2240 int nbh = Max(nb,nt);
2241 int nbv = Max(nr,nl);
2254 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
2255 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
2256 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
2257 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
2259 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
2260 return error(COMPERR_BAD_INPUT_MESH);
2262 // arrays for normalized params
2263 TColStd_SequenceOfReal npb, npr, npt, npl;
2264 for (j = 0; j < nb; j++) {
2265 npb.Append(uv_eb[j].normParam);
2267 for (i = 0; i < nr; i++) {
2268 npr.Append(uv_er[i].normParam);
2270 for (j = 0; j < nt; j++) {
2271 npt.Append(uv_et[j].normParam);
2273 for (i = 0; i < nl; i++) {
2274 npl.Append(uv_el[i].normParam);
2278 // orientation of face and 3 main domain for future faces
2284 // left | | | | rigth
2291 // add some params to right and left after the first param
2294 double dpr = (npr.Value(2) - npr.Value(1))/(dr+1);
2295 for (i=1; i<=dr; i++) {
2296 npr.InsertAfter(1,npr.Value(2)-dpr);
2300 dpr = (npl.Value(2) - npl.Value(1))/(dl+1);
2301 for (i=1; i<=dl; i++) {
2302 npl.InsertAfter(1,npl.Value(2)-dpr);
2305 gp_XY a0 (uv_eb.front().u, uv_eb.front().v);
2306 gp_XY a1 (uv_eb.back().u, uv_eb.back().v);
2307 gp_XY a2 (uv_et.back().u, uv_et.back().v);
2308 gp_XY a3 (uv_et.front().u, uv_et.front().v);
2310 int nnn = Min(nr,nl);
2311 // auxilary sequence of XY for creation nodes
2312 // in the bottom part of central domain
2313 // it's length must be == nbv-nnn-1
2314 TColgp_SequenceOfXY UVL;
2315 TColgp_SequenceOfXY UVR;
2316 //==================================================
2318 // step1: create faces for left domain
2319 StdMeshers_Array2OfNode NodesL(1,dl+1,1,nl);
2321 for (j=1; j<=nl; j++)
2322 NodesL.SetValue(1,j,uv_el[j-1].node);
2325 for (i=1; i<=dl; i++)
2326 NodesL.SetValue(i+1,nl,uv_et[i].node);
2327 // create and add needed nodes
2328 TColgp_SequenceOfXY UVtmp;
2329 for (i=1; i<=dl; i++) {
2330 double x0 = npt.Value(i+1);
2333 double y0 = npl.Value(i+1);
2334 double y1 = npr.Value(i+1);
2335 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2336 gp_Pnt P = S->Value(UV.X(),UV.Y());
2337 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2338 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2339 NodesL.SetValue(i+1,1,N);
2340 if (UVL.Length()<nbv-nnn-1) UVL.Append(UV);
2342 for (j=2; j<nl; j++) {
2343 double y0 = npl.Value(dl+j);
2344 double y1 = npr.Value(dl+j);
2345 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2346 gp_Pnt P = S->Value(UV.X(),UV.Y());
2347 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2348 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2349 NodesL.SetValue(i+1,j,N);
2350 if (i==dl) UVtmp.Append(UV);
2353 for (i=1; i<=UVtmp.Length() && UVL.Length()<nbv-nnn-1; i++) {
2354 UVL.Append(UVtmp.Value(i));
2357 for (i=1; i<=dl; i++) {
2358 for (j=1; j<nl; j++) {
2360 myTool->AddFace(NodesL.Value(i,j), NodesL.Value(i+1,j),
2361 NodesL.Value(i+1,j+1), NodesL.Value(i,j+1));
2362 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2367 // fill UVL using c2d
2368 for (i=1; i<npl.Length() && UVL.Length()<nbv-nnn-1; i++) {
2369 UVL.Append(gp_UV (uv_el[i].u, uv_el[i].v));
2373 // step2: create faces for right domain
2374 StdMeshers_Array2OfNode NodesR(1,dr+1,1,nr);
2376 for (j=1; j<=nr; j++)
2377 NodesR.SetValue(1,j,uv_er[nr-j].node);
2380 for (i=1; i<=dr; i++)
2381 NodesR.SetValue(i+1,1,uv_et[nt-1-i].node);
2382 // create and add needed nodes
2383 TColgp_SequenceOfXY UVtmp;
2384 for (i=1; i<=dr; i++) {
2385 double x0 = npt.Value(nt-i);
2388 double y0 = npl.Value(i+1);
2389 double y1 = npr.Value(i+1);
2390 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2391 gp_Pnt P = S->Value(UV.X(),UV.Y());
2392 SMDS_MeshNode * N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2393 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2394 NodesR.SetValue(i+1,nr,N);
2395 if (UVR.Length()<nbv-nnn-1) UVR.Append(UV);
2397 for (j=2; j<nr; j++) {
2398 double y0 = npl.Value(nbv-j+1);
2399 double y1 = npr.Value(nbv-j+1);
2400 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2401 gp_Pnt P = S->Value(UV.X(),UV.Y());
2402 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2403 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2404 NodesR.SetValue(i+1,j,N);
2405 if (i==dr) UVtmp.Prepend(UV);
2408 for (i=1; i<=UVtmp.Length() && UVR.Length()<nbv-nnn-1; i++) {
2409 UVR.Append(UVtmp.Value(i));
2412 for (i=1; i<=dr; i++) {
2413 for (j=1; j<nr; j++) {
2415 myTool->AddFace(NodesR.Value(i,j), NodesR.Value(i+1,j),
2416 NodesR.Value(i+1,j+1), NodesR.Value(i,j+1));
2417 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2422 // fill UVR using c2d
2423 for (i=1; i<npr.Length() && UVR.Length()<nbv-nnn-1; i++) {
2424 UVR.Append(gp_UV(uv_er[i].u, uv_er[i].v));
2428 // step3: create faces for central domain
2429 StdMeshers_Array2OfNode NodesC(1,nb,1,nbv);
2430 // add first string using NodesL
2431 for (i=1; i<=dl+1; i++)
2432 NodesC.SetValue(1,i,NodesL(i,1));
2433 for (i=2; i<=nl; i++)
2434 NodesC.SetValue(1,dl+i,NodesL(dl+1,i));
2435 // add last string using NodesR
2436 for (i=1; i<=dr+1; i++)
2437 NodesC.SetValue(nb,i,NodesR(i,nr));
2438 for (i=1; i<nr; i++)
2439 NodesC.SetValue(nb,dr+i+1,NodesR(dr+1,nr-i));
2440 // add top nodes (last columns)
2441 for (i=dl+2; i<nbh-dr; i++)
2442 NodesC.SetValue(i-dl,nbv,uv_et[i-1].node);
2443 // add bottom nodes (first columns)
2444 for (i=2; i<nb; i++)
2445 NodesC.SetValue(i,1,uv_eb[i-1].node);
2447 // create and add needed nodes
2448 // add linear layers
2449 for (i=2; i<nb; i++) {
2450 double x0 = npt.Value(dl+i);
2452 for (j=1; j<nnn; j++) {
2453 double y0 = npl.Value(nbv-nnn+j);
2454 double y1 = npr.Value(nbv-nnn+j);
2455 gp_UV UV = CalcUV(x0, x1, y0, y1, quad, a0, a1, a2, a3);
2456 gp_Pnt P = S->Value(UV.X(),UV.Y());
2457 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2458 meshDS->SetNodeOnFace(N, geomFaceID, UV.X(), UV.Y());
2459 NodesC.SetValue(i,nbv-nnn+j,N);
2462 // add diagonal layers
2463 for (i=1; i<nbv-nnn; i++) {
2464 double du = UVR.Value(i).X() - UVL.Value(i).X();
2465 double dv = UVR.Value(i).Y() - UVL.Value(i).Y();
2466 for (j=2; j<nb; j++) {
2467 double u = UVL.Value(i).X() + du*npb.Value(j);
2468 double v = UVL.Value(i).Y() + dv*npb.Value(j);
2469 gp_Pnt P = S->Value(u,v);
2470 SMDS_MeshNode* N = meshDS->AddNode(P.X(), P.Y(), P.Z());
2471 meshDS->SetNodeOnFace(N, geomFaceID, u, v);
2472 NodesC.SetValue(j,i+1,N);
2476 for (i=1; i<nb; i++) {
2477 for (j=1; j<nbv; j++) {
2479 myTool->AddFace(NodesC.Value(i,j), NodesC.Value(i+1,j),
2480 NodesC.Value(i+1,j+1), NodesC.Value(i,j+1));
2481 if (F) meshDS->SetMeshElementOnShape(F, geomFaceID);
2485 } // end Multiple Reduce implementation
2486 else { // Simple Reduce (!MultipleReduce)
2487 //=========================================================
2490 // it is a base case => not shift quad
2491 //ShiftQuad(quad,0,true);
2494 // we have to shift quad on 2
2495 ShiftQuad(quad,2,true);
2500 // we have to shift quad on 1
2501 ShiftQuad(quad,1,true);
2504 // we have to shift quad on 3
2505 ShiftQuad(quad,3,true);
2509 nb = quad->side[0]->NbPoints();
2510 nr = quad->side[1]->NbPoints();
2511 nt = quad->side[2]->NbPoints();
2512 nl = quad->side[3]->NbPoints();
2514 // number of rows and columns
2515 int nrows = nr - 1; // and also == nl - 1
2516 int ncol_top = nt - 1;
2517 int ncol_bot = nb - 1;
2518 int npair_top = ncol_top / 2;
2519 // maximum number of bottom elements for "linear" simple reduce
2520 int max_lin = ncol_top + npair_top * 2 * nrows;
2521 // maximum number of bottom elements for "tree" simple reduce
2522 //int max_tree = npair_top * pow(2, nrows + 1);
2524 //if (ncol_bot > max_tree)
2525 // MultipleReduce = true;
2527 const vector<UVPtStruct>& uv_eb = quad->side[0]->GetUVPtStruct(true,0);
2528 const vector<UVPtStruct>& uv_er = quad->side[1]->GetUVPtStruct(false,1);
2529 const vector<UVPtStruct>& uv_et = quad->side[2]->GetUVPtStruct(true,1);
2530 const vector<UVPtStruct>& uv_el = quad->side[3]->GetUVPtStruct(false,0);
2532 if (uv_eb.size() != nb || uv_er.size() != nr || uv_et.size() != nt || uv_el.size() != nl)
2533 return error(COMPERR_BAD_INPUT_MESH);
2535 // arrays for normalized params
2536 TColStd_SequenceOfReal npb, npr, npt, npl;
2537 for (j = 0; j < nb; j++) {
2538 npb.Append(uv_eb[j].normParam);
2540 for (i = 0; i < nr; i++) {
2541 npr.Append(uv_er[i].normParam);
2543 for (j = 0; j < nt; j++) {
2544 npt.Append(uv_et[j].normParam);
2546 for (i = 0; i < nl; i++) {
2547 npl.Append(uv_el[i].normParam);
2550 // We will ajust new points to this grid
2551 if (!SetNormalizedGrid(aMesh, aShape, quad))
2555 gp_XY a0 (uv_eb.front().u, uv_eb.front().v);
2556 gp_XY a1 (uv_eb.back().u, uv_eb.back().v);
2557 gp_XY a2 (uv_et.back().u, uv_et.back().v);
2558 gp_XY a3 (uv_et.front().u, uv_et.front().v);
2559 //=========================================================
2561 TColStd_SequenceOfInteger curr_base, next_base;
2562 TColStd_SequenceOfReal curr_par_u, curr_par_v;
2563 TColStd_SequenceOfReal next_par_u, next_par_v;
2564 StdMeshers_Array2OfNode NodesBRD (1,nb, 1,nr);
2565 for (j = 1; j <= nb; j++) {
2566 NodesBRD.SetValue(j, 1, uv_eb[j - 1].node); // bottom
2567 curr_base.Append(j);
2568 next_base.Append(-1);
2569 curr_par_u.Append(uv_eb[j-1].u);
2570 curr_par_v.Append(uv_eb[j-1].v);
2571 next_par_u.Append(0.);
2572 next_par_v.Append(0.);
2574 for (j = 1; j <= nt; j++) {
2575 NodesBRD.SetValue(j, nr, uv_et[j - 1].node); // top
2578 int curr_base_len = nb;
2579 int next_base_len = 0;
2581 if (ncol_bot > max_lin) {
2582 // "tree" simple reduce 2->4->8->16->32->...
2584 // .---------------.---------------.---------------.---------------. nr
2585 // | \ | / | \ | / |
2586 // | \ .-------.-------. / | \ .-------.-------. / |
2587 // | | | | | | | | |
2588 // .-------.-------.-------.-------.-------.-------.-------.-------.
2589 // |\ | /|\ | /|\ | /|\ | /|
2590 // | \.---.---./ | \.---.---./ | \.---.---./ | \.---.---./ | i
2591 // | | | | | | | | | | | | | | | | |
2592 // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.
2593 // |\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|\ | /|
2594 // | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. | .-.-. |
2595 // | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
2596 // .-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-. 1
2599 for (i = 1; i < nr; i++) { // layer by layer
2601 NodesBRD.SetValue(1, i+1, uv_el[i].node);
2602 next_base.SetValue(++next_base_len, 1);
2604 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
2606 next_par_u.SetValue(next_base_len, uv_el[i].u);
2607 next_par_v.SetValue(next_base_len, uv_el[i].v);
2609 // to stop reducing, if number of nodes reaches nt
2610 int delta = curr_base_len - nt;
2612 //double du = uv_er[i].u - uv_el[i].u;
2613 //double dv = uv_er[i].v - uv_el[i].v;
2615 // to calculate normalized parameter, we must know number of points in next layer
2616 int nb_four = (curr_base_len - 1) / 4;
2617 int nb_next = nb_four*2 + (curr_base_len - nb_four*4);
2618 if (nb_next < nt) nb_next = nt;
2620 for (j = 1; j + 4 <= curr_base_len && delta > 0; j += 4, delta -= 2) {
2621 // add one "HH": nodes a,b,c,d,e and faces 1,2,3,4,5,6
2623 // .-----a-----b i + 1
2636 const SMDS_MeshNode* Na;
2638 next_base.SetValue(next_base_len, curr_base.Value(j + 2));
2639 if (i + 1 == nr) { // top
2640 Na = uv_et[next_base_len - 1].node;
2641 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na);
2642 u = uv_et[next_base_len - 1].u;
2643 v = uv_et[next_base_len - 1].v;
2646 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2647 //u = uv_el[i].u + du * norm_par;
2648 //v = uv_el[i].v + dv * norm_par;
2650 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2651 int nearest_node_j = (int)rel;
2652 rel -= nearest_node_j;
2653 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2654 double u1 = quad->uv_grid[ij].u;
2655 double v1 = quad->uv_grid[ij].v;
2656 double u2 = quad->uv_grid[ij + 1].u;
2657 double v2 = quad->uv_grid[ij + 1].v;
2658 double duj = (u2 - u1) * rel;
2659 double dvj = (v2 - v1) * rel;
2663 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 2));
2664 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 2));
2665 gp_Pnt P = S->Value(u,v);
2666 SMDS_MeshNode* Na1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2667 meshDS->SetNodeOnFace(Na1, geomFaceID, u, v);
2668 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na1);
2671 next_par_u.SetValue(next_base_len, u);
2672 next_par_v.SetValue(next_base_len, v);
2675 const SMDS_MeshNode* Nb;
2677 next_base.SetValue(next_base_len, curr_base.Value(j + 4));
2678 if (i + 1 == nr) { // top
2679 Nb = uv_et[next_base_len - 1].node;
2680 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
2681 u = uv_et[next_base_len - 1].u;
2682 v = uv_et[next_base_len - 1].v;
2684 else if (j + 4 == curr_base_len) { // right
2685 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
2690 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2691 //u = uv_el[i].u + du * norm_par;
2692 //v = uv_el[i].v + dv * norm_par;
2694 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2695 int nearest_node_j = (int)rel;
2696 rel -= nearest_node_j;
2697 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2698 double u1 = quad->uv_grid[ij].u;
2699 double v1 = quad->uv_grid[ij].v;
2700 double u2 = quad->uv_grid[ij + 1].u;
2701 double v2 = quad->uv_grid[ij + 1].v;
2702 double duj = (u2 - u1) * rel;
2703 double dvj = (v2 - v1) * rel;
2707 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 4));
2708 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 4));
2709 gp_Pnt P = S->Value(u,v);
2710 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2711 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
2712 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
2715 next_par_u.SetValue(next_base_len, u);
2716 next_par_v.SetValue(next_base_len, v);
2719 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 2)) / 2.0;
2720 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 2)) / 2.0;
2721 gp_Pnt P = S->Value(u,v);
2722 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
2723 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
2726 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 1)) / 2.0;
2727 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 1)) / 2.0;
2729 SMDS_MeshNode* Nd = meshDS->AddNode(P.X(), P.Y(), P.Z());
2730 meshDS->SetNodeOnFace(Nd, geomFaceID, u, v);
2733 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len)) / 2.0;
2734 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len)) / 2.0;
2736 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
2737 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
2740 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
2741 NodesBRD.Value(curr_base.Value(j + 1), i),
2743 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
2744 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
2746 SMDS_MeshFace* F2 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
2747 NodesBRD.Value(curr_base.Value(j + 2), i),
2749 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
2751 SMDS_MeshFace* F3 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
2752 NodesBRD.Value(curr_base.Value(j + 3), i),
2754 if (F3) meshDS->SetMeshElementOnShape(F3, geomFaceID);
2756 SMDS_MeshFace* F4 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 3), i),
2757 NodesBRD.Value(curr_base.Value(j + 4), i),
2759 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
2761 SMDS_MeshFace* F5 = myTool->AddFace(Nc, Nd, Na,
2762 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
2763 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
2765 SMDS_MeshFace* F6 = myTool->AddFace(Nd, Ne, Nb, Na);
2766 if (F6) meshDS->SetMeshElementOnShape(F6, geomFaceID);
2769 // not reduced side elements (if any)
2770 for (; j < curr_base_len; j++) {
2772 const SMDS_MeshNode* Nf;
2774 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
2775 if (i + 1 == nr) { // top
2776 Nf = uv_et[next_base_len - 1].node;
2777 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
2778 u = uv_et[next_base_len - 1].u;
2779 v = uv_et[next_base_len - 1].v;
2781 else if (j + 1 == curr_base_len) { // right
2782 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
2787 //double norm_par = double(next_base_len - 1)/double(nb_next - 1);
2788 //u = uv_el[i].u + du * norm_par;
2789 //v = uv_el[i].v + dv * norm_par;
2791 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2792 int nearest_node_j = (int)rel;
2793 rel -= nearest_node_j;
2794 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2795 double u1 = quad->uv_grid[ij].u;
2796 double v1 = quad->uv_grid[ij].v;
2797 double u2 = quad->uv_grid[ij + 1].u;
2798 double v2 = quad->uv_grid[ij + 1].v;
2799 double duj = (u2 - u1) * rel;
2800 double dvj = (v2 - v1) * rel;
2804 //u = uv_el[i].u + du*npb.Value(curr_base.Value(j + 1));
2805 //v = uv_el[i].v + dv*npb.Value(curr_base.Value(j + 1));
2806 gp_Pnt P = S->Value(u,v);
2807 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2808 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
2809 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
2812 next_par_u.SetValue(next_base_len, u);
2813 next_par_v.SetValue(next_base_len, v);
2814 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j), i),
2815 NodesBRD.Value(curr_base.Value(j + 1), i),
2816 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
2817 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
2818 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
2821 curr_base_len = next_base_len;
2822 curr_base = next_base;
2823 curr_par_u = next_par_u;
2824 curr_par_v = next_par_v;
2827 } // end "tree" simple reduce
2829 // "linear" simple reduce 4->8->12->16 (3 steps)
2831 // .---------------.---------------.---------------.---------------. nr
2832 // | \ | / | \ | / |
2833 // | \ .-------.-------. / | \ .-------.-------. / |
2834 // | | | | | | | | |
2835 // .-------.-------.-------.-------.-------.-------.-------.-------.
2836 // | / \ | / \ | / \ | / \ |
2837 // | / \.----.----./ \ | / \.----.----./ \ | i
2838 // | / | | | \ | / | | | \ |
2839 // .-----.----.----.----.----.-----.-----.----.----.----.----.-----.
2840 // | / / \ | / \ \ | / / \ | / \ \ |
2841 // | / / .-.-. \ \ | / / .-.-. \ \ |
2842 // | / / / | \ \ \ | / / / | \ \ \ |
2843 // .---.---.---.---.---.---.---.---.---.---.---.---.---.---.---.---. 1
2846 // nt = 5, nb = 7, nr = 4
2847 //int delta_all = 2;
2848 //int delta_one_col = 6;
2850 //int remainder = 2;
2851 //if (remainder > 0) nb_col++;
2853 //int free_left = 1;
2855 //int free_middle = 4;
2857 int delta_all = nb - nt;
2858 int delta_one_col = (nr - 1) * 2;
2859 int nb_col = delta_all / delta_one_col;
2860 int remainder = delta_all - nb_col * delta_one_col;
2861 if (remainder > 0) {
2864 int free_left = ((nt - 1) - nb_col * 2) / 2;
2865 free_left += nr - 2;
2866 int free_middle = (nr - 2) * 2;
2867 if (remainder > 0 && nb_col == 1) {
2868 int nb_rows_short_col = remainder / 2;
2869 int nb_rows_thrown = (nr - 1) - nb_rows_short_col;
2870 free_left -= nb_rows_thrown;
2873 // nt = 5, nb = 17, nr = 4
2874 //int delta_all = 12;
2875 //int delta_one_col = 6;
2877 //int remainder = 0;
2878 //int free_left = 2;
2879 //int free_middle = 4;
2881 for (i = 1; i < nr; i++, free_middle -= 2, free_left -= 1) { // layer by layer
2883 NodesBRD.SetValue(1, i+1, uv_el[i].node);
2884 next_base.SetValue(++next_base_len, 1);
2886 NodesBRD.SetValue(nb, i+1, uv_er[i].node);
2889 next_par_u.SetValue(next_base_len, uv_el[i].u);
2890 next_par_v.SetValue(next_base_len, uv_el[i].v);
2892 // to calculate normalized parameter, we must know number of points in next layer
2893 int nb_next = curr_base_len - nb_col * 2;
2894 if (remainder > 0 && i > remainder / 2)
2895 // take into account short "column"
2897 if (nb_next < nt) nb_next = nt;
2899 // not reduced left elements
2900 for (j = 1; j <= free_left; j++) {
2902 const SMDS_MeshNode* Nf;
2904 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
2905 if (i + 1 == nr) { // top
2906 Nf = uv_et[next_base_len - 1].node;
2907 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
2908 u = uv_et[next_base_len - 1].u;
2909 v = uv_et[next_base_len - 1].v;
2913 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2914 int nearest_node_j = (int)rel;
2915 rel -= nearest_node_j;
2916 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2917 double u1 = quad->uv_grid[ij].u;
2918 double v1 = quad->uv_grid[ij].v;
2919 double u2 = quad->uv_grid[ij + 1].u;
2920 double v2 = quad->uv_grid[ij + 1].v;
2921 double duj = (u2 - u1) * rel;
2922 double dvj = (v2 - v1) * rel;
2926 gp_Pnt P = S->Value(u,v);
2927 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2928 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
2929 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
2932 next_par_u.SetValue(next_base_len, u);
2933 next_par_v.SetValue(next_base_len, v);
2934 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j), i),
2935 NodesBRD.Value(curr_base.Value(j + 1), i),
2936 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
2937 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
2938 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
2941 for (int icol = 1; icol <= nb_col; icol++) {
2943 if (remainder > 0 && icol == nb_col && i > remainder / 2)
2944 // stop short "column"
2947 // add one "HH": nodes a,b,c,d,e and faces 1,2,3,4,5,6
2949 // .-----a-----b i + 1
2962 const SMDS_MeshNode* Na;
2964 next_base.SetValue(next_base_len, curr_base.Value(j + 2));
2965 if (i + 1 == nr) { // top
2966 Na = uv_et[next_base_len - 1].node;
2967 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na);
2968 u = uv_et[next_base_len - 1].u;
2969 v = uv_et[next_base_len - 1].v;
2973 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
2974 int nearest_node_j = (int)rel;
2975 rel -= nearest_node_j;
2976 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
2977 double u1 = quad->uv_grid[ij].u;
2978 double v1 = quad->uv_grid[ij].v;
2979 double u2 = quad->uv_grid[ij + 1].u;
2980 double v2 = quad->uv_grid[ij + 1].v;
2981 double duj = (u2 - u1) * rel;
2982 double dvj = (v2 - v1) * rel;
2986 gp_Pnt P = S->Value(u,v);
2987 SMDS_MeshNode* Na1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
2988 meshDS->SetNodeOnFace(Na1, geomFaceID, u, v);
2989 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Na1);
2992 next_par_u.SetValue(next_base_len, u);
2993 next_par_v.SetValue(next_base_len, v);
2996 const SMDS_MeshNode* Nb;
2998 next_base.SetValue(next_base_len, curr_base.Value(j + 4));
2999 if (i + 1 == nr) { // top
3000 Nb = uv_et[next_base_len - 1].node;
3001 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb);
3002 u = uv_et[next_base_len - 1].u;
3003 v = uv_et[next_base_len - 1].v;
3005 else if (j + 4 == curr_base_len) { // right
3006 Nb = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3012 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3013 int nearest_node_j = (int)rel;
3014 rel -= nearest_node_j;
3015 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3016 double u1 = quad->uv_grid[ij].u;
3017 double v1 = quad->uv_grid[ij].v;
3018 double u2 = quad->uv_grid[ij + 1].u;
3019 double v2 = quad->uv_grid[ij + 1].v;
3020 double duj = (u2 - u1) * rel;
3021 double dvj = (v2 - v1) * rel;
3025 gp_Pnt P = S->Value(u,v);
3026 SMDS_MeshNode* Nb1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3027 meshDS->SetNodeOnFace(Nb1, geomFaceID, u, v);
3028 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nb1);
3031 next_par_u.SetValue(next_base_len, u);
3032 next_par_v.SetValue(next_base_len, v);
3035 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 2)) / 2.0;
3036 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 2)) / 2.0;
3037 gp_Pnt P = S->Value(u,v);
3038 SMDS_MeshNode* Nc = meshDS->AddNode(P.X(), P.Y(), P.Z());
3039 meshDS->SetNodeOnFace(Nc, geomFaceID, u, v);
3042 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len - 1)) / 2.0;
3043 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len - 1)) / 2.0;
3045 SMDS_MeshNode* Nd = meshDS->AddNode(P.X(), P.Y(), P.Z());
3046 meshDS->SetNodeOnFace(Nd, geomFaceID, u, v);
3049 u = (curr_par_u.Value(j + 2) + next_par_u.Value(next_base_len)) / 2.0;
3050 v = (curr_par_v.Value(j + 2) + next_par_v.Value(next_base_len)) / 2.0;
3052 SMDS_MeshNode* Ne = meshDS->AddNode(P.X(), P.Y(), P.Z());
3053 meshDS->SetNodeOnFace(Ne, geomFaceID, u, v);
3056 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 0), i),
3057 NodesBRD.Value(curr_base.Value(j + 1), i),
3059 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
3060 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3062 SMDS_MeshFace* F2 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 1), i),
3063 NodesBRD.Value(curr_base.Value(j + 2), i),
3065 if (F2) meshDS->SetMeshElementOnShape(F2, geomFaceID);
3067 SMDS_MeshFace* F3 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 2), i),
3068 NodesBRD.Value(curr_base.Value(j + 3), i),
3070 if (F3) meshDS->SetMeshElementOnShape(F3, geomFaceID);
3072 SMDS_MeshFace* F4 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j + 3), i),
3073 NodesBRD.Value(curr_base.Value(j + 4), i),
3075 if (F4) meshDS->SetMeshElementOnShape(F4, geomFaceID);
3077 SMDS_MeshFace* F5 = myTool->AddFace(Nc, Nd, Na,
3078 NodesBRD.Value(next_base.Value(next_base_len - 2), i + 1));
3079 if (F5) meshDS->SetMeshElementOnShape(F5, geomFaceID);
3081 SMDS_MeshFace* F6 = myTool->AddFace(Nd, Ne, Nb, Na);
3082 if (F6) meshDS->SetMeshElementOnShape(F6, geomFaceID);
3086 // not reduced middle elements
3087 if (icol < nb_col) {
3088 if (remainder > 0 && icol == nb_col - 1 && i > remainder / 2)
3089 // pass middle elements before stopped short "column"
3092 int free_add = free_middle;
3093 if (remainder > 0 && icol == nb_col - 1)
3094 // next "column" is short
3095 free_add -= (nr - 1) - (remainder / 2);
3097 for (int imiddle = 1; imiddle <= free_add; imiddle++) {
3098 // f (i + 1, j + imiddle)
3099 const SMDS_MeshNode* Nf;
3101 next_base.SetValue(++next_base_len, curr_base.Value(j + imiddle));
3102 if (i + 1 == nr) { // top
3103 Nf = uv_et[next_base_len - 1].node;
3104 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3105 u = uv_et[next_base_len - 1].u;
3106 v = uv_et[next_base_len - 1].v;
3108 else if (j + imiddle == curr_base_len) { // right
3109 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3115 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3116 int nearest_node_j = (int)rel;
3117 rel -= nearest_node_j;
3118 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3119 double u1 = quad->uv_grid[ij].u;
3120 double v1 = quad->uv_grid[ij].v;
3121 double u2 = quad->uv_grid[ij + 1].u;
3122 double v2 = quad->uv_grid[ij + 1].v;
3123 double duj = (u2 - u1) * rel;
3124 double dvj = (v2 - v1) * rel;
3128 gp_Pnt P = S->Value(u,v);
3129 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3130 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3131 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3134 next_par_u.SetValue(next_base_len, u);
3135 next_par_v.SetValue(next_base_len, v);
3136 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j - 1 + imiddle), i),
3137 NodesBRD.Value(curr_base.Value(j + imiddle), i),
3138 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3139 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3140 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3146 // not reduced right elements
3147 for (; j < curr_base_len; j++) {
3149 const SMDS_MeshNode* Nf;
3151 next_base.SetValue(++next_base_len, curr_base.Value(j + 1));
3152 if (i + 1 == nr) { // top
3153 Nf = uv_et[next_base_len - 1].node;
3154 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf);
3155 u = uv_et[next_base_len - 1].u;
3156 v = uv_et[next_base_len - 1].v;
3158 else if (j + 1 == curr_base_len) { // right
3159 Nf = NodesBRD.Value(next_base.Value(next_base_len), i + 1);
3165 double rel = double(next_base_len - 1) * double(nt - 1) / double(nb_next - 1) + 1;
3166 int nearest_node_j = (int)rel;
3167 rel -= nearest_node_j;
3168 int ij = (i + 1 - 1) * nt + (nearest_node_j - 1);
3169 double u1 = quad->uv_grid[ij].u;
3170 double v1 = quad->uv_grid[ij].v;
3171 double u2 = quad->uv_grid[ij + 1].u;
3172 double v2 = quad->uv_grid[ij + 1].v;
3173 double duj = (u2 - u1) * rel;
3174 double dvj = (v2 - v1) * rel;
3178 gp_Pnt P = S->Value(u,v);
3179 SMDS_MeshNode* Nf1 = meshDS->AddNode(P.X(), P.Y(), P.Z());
3180 meshDS->SetNodeOnFace(Nf1, geomFaceID, u, v);
3181 NodesBRD.SetValue(next_base.Value(next_base_len), i + 1, Nf1);
3184 next_par_u.SetValue(next_base_len, u);
3185 next_par_v.SetValue(next_base_len, v);
3186 SMDS_MeshFace* F1 = myTool->AddFace(NodesBRD.Value(curr_base.Value(j), i),
3187 NodesBRD.Value(curr_base.Value(j + 1), i),
3188 NodesBRD.Value(next_base.Value(next_base_len), i + 1),
3189 NodesBRD.Value(next_base.Value(next_base_len - 1), i + 1));
3190 if (F1) meshDS->SetMeshElementOnShape(F1, geomFaceID);
3193 curr_base_len = next_base_len;
3194 curr_base = next_base;
3195 curr_par_u = next_par_u;
3196 curr_par_v = next_par_v;
3199 } // end "linear" simple reduce
3200 } // end Simple Reduce implementation