netgen/libsrc/meshing/improve2gen.cpp

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#include <mystdlib.h>
#include "meshing.hpp"
#include <opti.hpp>
namespace netgen
{
class ImprovementRule
{
public:
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NgArray<Element2d> oldels;
NgArray<Element2d> newels;
NgArray<INDEX_2> deledges;
NgArray<int> incelsonnode;
NgArray<int> reused;
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int bonus;
int onp;
};
void MeshOptimize2d :: GenericImprove ()
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{
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static Timer timer("MeshOptimize2d::GenericImprove"); RegionTimer reg(timer);
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if (!faceindex)
{
if (writestatus)
PrintMessage (3, "Generic Improve");
for (faceindex = 1; faceindex <= mesh.GetNFD(); faceindex++)
GenericImprove ();
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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 << ": " <<flush;
// for(int j=0; j<el.GetNP(); j++)
// (*testout) << el[j] << " " << flush;
// (*testout) << "IsDeleted() " << el.IsDeleted()<< endl;
// }
bool ok;
int olddef, newdef;
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NgArray<ImprovementRule*> rules;
NgArray<SurfaceElementIndex> elmap;
NgArray<int> elrot;
NgArray<PointIndex> pmap;
NgArray<PointGeomInfo> pgi;
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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);
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NgArray<int> mapped(rules.Size());
NgArray<int> used(rules.Size());
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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);
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for (int j = 0; j < rule.onp; j++)
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{
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rule.incelsonnode[j] = 0;
rule.reused[j] = 0;
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}
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/*
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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))--;
}
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*/
for (const Element2d & el : rule.oldels)
for (PointIndex pi : el.PNums())
rule.incelsonnode[pi-PointIndex::BASE]--;
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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<int,PointIndex::BASE> elonnode(np);
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NgArray<int,PointIndex::BASE> nelonnode(np);
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TABLE<SurfaceElementIndex> 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;
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NgFlatArray<SurfaceElementIndex> neighbours = nbels[sei];
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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;
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pmap = PointIndex (-1);
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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<rule.deledges.Size(); i++)
{
ok = !mesh.IsSegment(pmap.Elem(rule.deledges[i].I1()),
pmap.Elem(rule.deledges[i].I2()));
}
if (!ok) continue;
mapped[ri]++;
olddef = 0;
for (int j = 1; j <= pmap.Size(); j++)
olddef += sqr (nelonnode[pmap.Get(j)]);
olddef += rule.bonus;
newdef = 0;
for (int j = 1; j <= pmap.Size(); j++)
if (rule.reused.Get(j))
newdef += sqr (nelonnode[pmap.Get(j)] +
rule.incelsonnode.Get(j));
if (newdef > olddef)
continue;
// calc metric badness
double bad1 = 0, bad2 = 0;
// SelectSurfaceOfPoint (mesh.Point(pmap.Get(1)), pgi.Get(1));
auto n = geo.GetNormal(surfnr, mesh.Point(pmap.Get(1)), pgi.Elem(1));
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for (int j = 0; j < rule.oldels.Size(); j++)
bad1 += mesh[elmap[j]].CalcJacobianBadness (mesh.Points(), n);
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// 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.Delete (elmap[j]);
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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");
}
}
}