#include #include "meshing.hpp" #include namespace netgen { class ImprovementRule { public: NgArray oldels; NgArray newels; NgArray deledges; NgArray incelsonnode; NgArray reused; int bonus; int onp; }; void MeshOptimize2d :: GenericImprove (Mesh & mesh) { if (!faceindex) { if (writestatus) PrintMessage (3, "Generic Improve"); for (faceindex = 1; faceindex <= mesh.GetNFD(); faceindex++) GenericImprove (mesh); faceindex = 0; } // int j, k, l, ri; int np = mesh.GetNP(); int ne = mesh.GetNSE(); // SurfaceElementIndex sei; // for (SurfaceElementIndex sei = 0; sei < ne; sei++) // { // const Element2d & el = mesh[sei]; // (*testout) << "element " << sei << ": " < rules; NgArray elmap; NgArray elrot; NgArray pmap; NgArray pgi; int surfnr = mesh.GetFaceDescriptor (faceindex).SurfNr(); ImprovementRule * r1; // 2 triangles to quad r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3)); r1->oldels.Append (Element2d (3, 2, 4)); r1->newels.Append (Element2d (1, 2, 4, 3)); r1->deledges.Append (INDEX_2 (2,3)); r1->onp = 4; r1->bonus = 2; rules.Append (r1); // 2 quad to 1 quad r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (4, 3, 2, 5)); r1->newels.Append (Element2d (1, 2, 5, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->deledges.Append (INDEX_2 (3, 4)); r1->onp = 5; r1->bonus = 0; rules.Append (r1); // swap quads r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (3, 2, 5, 6)); r1->newels.Append (Element2d (1, 6, 3, 4)); r1->newels.Append (Element2d (1, 2, 5, 6)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 6; r1->bonus = 0; rules.Append (r1); // three quads to 2 r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 5, 6, 3)); r1->oldels.Append (Element2d (3, 6, 7, 4)); r1->newels.Append (Element2d (1, 2, 5, 4)); r1->newels.Append (Element2d (4, 5, 6, 7)); r1->deledges.Append (INDEX_2 (2, 3)); r1->deledges.Append (INDEX_2 (3, 4)); r1->deledges.Append (INDEX_2 (3, 6)); r1->onp = 7; r1->bonus = -1; rules.Append (r1); // quad + 2 connected trigs to quad r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 5, 3)); r1->oldels.Append (Element2d (3, 5, 4)); r1->newels.Append (Element2d (1, 2, 5, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->deledges.Append (INDEX_2 (3, 4)); r1->deledges.Append (INDEX_2 (3, 5)); r1->onp = 5; r1->bonus = 0; rules.Append (r1); // quad + 2 non-connected trigs to quad (a and b) r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 6, 3)); r1->oldels.Append (Element2d (1, 4, 5)); r1->newels.Append (Element2d (1, 3, 4, 5)); r1->newels.Append (Element2d (1, 2, 6, 3)); r1->deledges.Append (INDEX_2 (1, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 6; r1->bonus = 0; rules.Append (r1); r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 6, 3)); r1->oldels.Append (Element2d (1, 4, 5)); r1->newels.Append (Element2d (1, 2, 4, 5)); r1->newels.Append (Element2d (4, 2, 6, 3)); r1->deledges.Append (INDEX_2 (1, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 6; r1->bonus = 0; rules.Append (r1); // two quad + trig -> one quad + trig r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 5, 6, 3)); r1->oldels.Append (Element2d (4, 3, 6)); r1->newels.Append (Element2d (1, 2, 6, 4)); r1->newels.Append (Element2d (2, 5, 6)); r1->deledges.Append (INDEX_2 (2, 3)); r1->deledges.Append (INDEX_2 (3, 4)); r1->deledges.Append (INDEX_2 (3, 6)); r1->onp = 6; r1->bonus = -1; rules.Append (r1); // swap quad + trig (a and b) r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 5, 3)); r1->newels.Append (Element2d (2, 5, 3, 4)); r1->newels.Append (Element2d (1, 2, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 5; r1->bonus = 0; rules.Append (r1); r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (2, 5, 3)); r1->newels.Append (Element2d (1, 2, 5, 3)); r1->newels.Append (Element2d (1, 3, 4)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 5; r1->bonus = 0; rules.Append (r1); // 2 quads to quad + 2 trigs r1 = new ImprovementRule; r1->oldels.Append (Element2d (1, 2, 3, 4)); r1->oldels.Append (Element2d (3, 2, 5, 6)); r1->newels.Append (Element2d (1, 5, 6, 4)); r1->newels.Append (Element2d (1, 2, 5)); r1->newels.Append (Element2d (4, 6, 3)); r1->deledges.Append (INDEX_2 (2, 3)); r1->onp = 6; r1->bonus = 0; // rules.Append (r1); NgArray mapped(rules.Size()); NgArray used(rules.Size()); used = 0; mapped = 0; for (int ri = 0; ri < rules.Size(); ri++) { ImprovementRule & rule = *rules[ri]; rule.incelsonnode.SetSize (rule.onp); rule.reused.SetSize (rule.onp); for (int j = 1; j <= rule.onp; j++) { rule.incelsonnode.Elem(j) = 0; rule.reused.Elem(j) = 0; } for (int j = 1; j <= rule.oldels.Size(); j++) { const Element2d & el = rule.oldels.Elem(j); for (int k = 1; k <= el.GetNP(); k++) rule.incelsonnode.Elem(el.PNum(k))--; } for (int j = 1; j <= rule.newels.Size(); j++) { const Element2d & el = rule.newels.Elem(j); for (int k = 1; k <= el.GetNP(); k++) { rule.incelsonnode.Elem(el.PNum(k))++; rule.reused.Elem(el.PNum(k)) = 1; } } } TABLE elonnode(np); NgArray nelonnode(np); TABLE nbels(ne); nelonnode = -4; for (SurfaceElementIndex sei = 0; sei < ne; sei++) { const Element2d & el = mesh[sei]; if (el.GetIndex() == faceindex && !el.IsDeleted()) { for (int j = 0; j < el.GetNP(); j++) elonnode.Add (el[j], sei); } if(!el.IsDeleted()) { for (int j = 0; j < el.GetNP(); j++) nelonnode[el[j]]++; } } for (SurfaceElementIndex sei = 0; sei < ne; sei++) { const Element2d & el = mesh[sei]; if (el.GetIndex() == faceindex && !el.IsDeleted()) { for (int j = 0; j < el.GetNP(); j++) { for (int k = 0; k < elonnode[el[j]].Size(); k++) { int nbel = elonnode[el[j]] [k]; bool inuse = false; for (int l = 0; l < nbels[sei].Size(); l++) if (nbels[sei][l] == nbel) inuse = true; if (!inuse) nbels.Add (sei, nbel); } } } } for (int ri = 0; ri < rules.Size(); ri++) { const ImprovementRule & rule = *rules[ri]; elmap.SetSize (rule.oldels.Size()); elrot.SetSize (rule.oldels.Size()); pmap.SetSize (rule.onp); pgi.SetSize (rule.onp); for (SurfaceElementIndex sei = 0; sei < ne; sei++) { if (multithread.terminate) break; if (mesh[sei].IsDeleted()) continue; elmap[0] = sei; NgFlatArray neighbours = nbels[sei]; for (elrot[0] = 0; elrot[0] < mesh[sei].GetNP(); elrot[0]++) { const Element2d & el0 = mesh[sei]; const Element2d & rel0 = rule.oldels[0]; if (el0.GetIndex() != faceindex) continue; if (el0.IsDeleted()) continue; if (el0.GetNP() != rel0.GetNP()) continue; pmap = PointIndex (-1); for (int k = 0; k < el0.GetNP(); k++) { pmap.Elem(rel0[k]) = el0.PNumMod(k+elrot[0]+1); pgi.Elem(rel0[k]) = el0.GeomInfoPiMod(k+elrot[0]+1); } ok = 1; for (int i = 1; i < elmap.Size(); i++) { // try to find a mapping for reference-element i const Element2d & rel = rule.oldels[i]; bool possible = 0; for (elmap[i] = 0; elmap[i] < neighbours.Size(); elmap[i]++) { const Element2d & el = mesh[neighbours[elmap[i]]]; if (el.IsDeleted()) continue; if (el.GetNP() != rel.GetNP()) continue; for (elrot[i] = 0; elrot[i] < rel.GetNP(); elrot[i]++) { possible = 1; for (int k = 0; k < rel.GetNP(); k++) if (pmap.Elem(rel[k]) != -1 && pmap.Elem(rel[k]) != el.PNumMod (k+elrot[i]+1)) possible = 0; if (possible) { for (int k = 0; k < el.GetNP(); k++) { pmap.Elem(rel[k]) = el.PNumMod(k+elrot[i]+1); pgi.Elem(rel[k]) = el.GeomInfoPiMod(k+elrot[i]+1); } break; } } if (possible) break; } if (!possible) { ok = 0; break; } elmap[i] = neighbours[elmap[i]]; } for(int i=0; ok && i olddef) continue; // calc metric badness double bad1 = 0, bad2 = 0; Vec<3> n; SelectSurfaceOfPoint (mesh.Point(pmap.Get(1)), pgi.Get(1)); GetNormalVector (surfnr, mesh.Point(pmap.Get(1)), pgi.Elem(1), n); for (int j = 1; j <= rule.oldels.Size(); j++) bad1 += mesh.SurfaceElement(elmap.Get(j)).CalcJacobianBadness (mesh.Points(), n); // check new element: for (int j = 1; j <= rule.newels.Size(); j++) { const Element2d & rnel = rule.newels.Get(j); Element2d nel(rnel.GetNP()); for (int k = 1; k <= rnel.GetNP(); k++) nel.PNum(k) = pmap.Get(rnel.PNum(k)); bad2 += nel.CalcJacobianBadness (mesh.Points(), n); } if (bad2 > 1e3) continue; if (newdef == olddef && bad2 > bad1) continue; // generate new element: for (int j = 1; j <= rule.newels.Size(); j++) { const Element2d & rnel = rule.newels.Get(j); Element2d nel(rnel.GetNP()); nel.SetIndex (faceindex); for (int k = 1; k <= rnel.GetNP(); k++) { nel.PNum(k) = pmap.Get(rnel.PNum(k)); nel.GeomInfoPi(k) = pgi.Get(rnel.PNum(k)); } mesh.AddSurfaceElement(nel); } for (int j = 0; j < rule.oldels.Size(); j++) mesh.DeleteSurfaceElement ( elmap[j] ); for (int j = 1; j <= pmap.Size(); j++) nelonnode[pmap.Get(j)] += rule.incelsonnode.Get(j); used[ri]++; } } } mesh.Compress(); for (int ri = 0; ri < rules.Size(); ri++) { PrintMessage (5, "rule ", ri+1, " ", mapped[ri], "/", used[ri], " mapped/used"); } } }