mirror of
https://github.com/NGSolve/netgen.git
synced 2024-12-26 22:00:33 +05:00
1341 lines
42 KiB
C++
1341 lines
42 KiB
C++
#include <mystdlib.h>
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#include "meshing.hpp"
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#include "meshing2.hpp"
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#include "global.hpp"
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#include "../geom2d/csg2d.hpp"
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namespace netgen
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{
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void InsertVirtualBoundaryLayer (Mesh & mesh)
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{
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cout << "Insert virt. b.l." << endl;
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int surfid;
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cout << "Boundary Nr:";
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cin >> surfid;
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int i;
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int np = mesh.GetNP();
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cout << "Old NP: " << mesh.GetNP() << endl;
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cout << "Trigs: " << mesh.GetNSE() << endl;
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NgBitArray bndnodes(np);
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NgArray<int> mapto(np);
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bndnodes.Clear();
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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cout << "snr = " << snr << endl;
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if (snr == surfid)
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{
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bndnodes.Set (mesh.LineSegment(i)[0]);
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bndnodes.Set (mesh.LineSegment(i)[1]);
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}
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}
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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if (snr != surfid)
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{
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bndnodes.Clear (mesh.LineSegment(i)[0]);
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bndnodes.Clear (mesh.LineSegment(i)[1]);
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}
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}
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for (i = 1; i <= np; i++)
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{
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if (bndnodes.Test(i))
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mapto.Elem(i) = mesh.AddPoint (mesh.Point (i));
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else
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mapto.Elem(i) = 0;
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}
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for (i = 1; i <= mesh.GetNSE(); i++)
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{
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Element2d & el = mesh.SurfaceElement(i);
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for (int j = 1; j <= el.GetNP(); j++)
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if (mapto.Get(el.PNum(j)))
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el.PNum(j) = mapto.Get(el.PNum(j));
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}
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int nq = 0;
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for (i = 1; i <= mesh.GetNSeg(); i++)
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{
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int snr = mesh.LineSegment(i).edgenr;
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if (snr == surfid)
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{
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int p1 = mesh.LineSegment(i)[0];
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int p2 = mesh.LineSegment(i)[1];
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int p3 = mapto.Get (p1);
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if (!p3) p3 = p1;
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int p4 = mapto.Get (p2);
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if (!p4) p4 = p2;
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Element2d el(QUAD);
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el.PNum(1) = p1;
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el.PNum(2) = p2;
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el.PNum(3) = p3;
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el.PNum(4) = p4;
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el.SetIndex (2);
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mesh.AddSurfaceElement (el);
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nq++;
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}
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}
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cout << "New NP: " << mesh.GetNP() << endl;
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cout << "Quads: " << nq << endl;
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}
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void GenerateBoundaryLayer(Mesh& mesh, const BoundaryLayerParameters& blp)
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{
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static Timer timer("Create Boundarylayers");
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RegionTimer regt(timer);
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int max_edge_nr = -1;
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for(const auto& seg : mesh.LineSegments())
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if(seg.edgenr > max_edge_nr)
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max_edge_nr = seg.edgenr;
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int new_mat_nr = mesh.GetNDomains() +1;
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mesh.SetMaterial(new_mat_nr, blp.new_mat);
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auto domains = blp.domains;
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if(!blp.outside)
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domains.Invert();
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mesh.UpdateTopology();
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auto& meshtopo = mesh.GetTopology();
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int np = mesh.GetNP();
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int ne = mesh.GetNE();
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int nse = mesh.GetNSE();
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int nseg = mesh.GetNSeg();
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Array<Array<PointIndex>, PointIndex> mapto(np);
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Array<Vec<3>, PointIndex> growthvectors(np);
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growthvectors = 0.;
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Array<double> surfacefacs(mesh.GetNFD()+1);
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surfacefacs = 0.;
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auto getSurfaceNormal = [&mesh] (const Element2d& el)
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{
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auto v0 = mesh[el[0]];
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return Cross(mesh[el[1]]-v0, mesh[el[2]]-v0).Normalize();
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};
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// surface index map
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Array<int> si_map(mesh.GetNFD()+1);
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si_map = -1;
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int fd_old = mesh.GetNFD();
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// create new FaceDescriptors
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for(auto i : Range(1, fd_old+1))
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{
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const auto& fd = mesh.GetFaceDescriptor(i);
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string name = fd.GetBCName();
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if(blp.surfid.Contains(i))
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{
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if(auto isIn = domains.Test(fd.DomainIn()); isIn != domains.Test(fd.DomainOut()))
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{
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int new_si = mesh.GetNFD()+1;
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surfacefacs[i] = isIn ? 1. : -1.;
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// -1 surf nr is so that curving does not do anything
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FaceDescriptor new_fd(-1, isIn ? new_mat_nr : fd.DomainIn(),
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isIn ? fd.DomainOut() : new_mat_nr, -1);
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new_fd.SetBCProperty(new_si);
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mesh.AddFaceDescriptor(new_fd);
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si_map[i] = new_si;
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mesh.SetBCName(new_si-1, "mapped_" + name);
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}
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}
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}
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// mark points for remapping
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for(const auto& sel : mesh.SurfaceElements())
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{
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auto n = surfacefacs[sel.GetIndex()] * getSurfaceNormal(sel);
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if(n.Length2() != 0.)
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{
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for(auto pi : sel.PNums())
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{
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auto & np = growthvectors[pi];
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if(np.Length() == 0) { np = n; continue; }
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auto npn = np * n;
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auto npnp = np * np;
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auto nn = n * n;
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if(nn-npn*npn/npnp == 0) { np = n; continue; }
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np += (nn - npn)/(nn - npn*npn/npnp) * (n - npn/npnp * np);
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}
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}
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}
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// Bit array to keep track of segments already processed
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BitArray segs_done(nseg);
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segs_done.Clear();
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// map for all segments with same points
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// points to pair of SegmentIndex, int
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// int is type of other segment, either:
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// 0 == adjacent surface grows layer
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// 1 == adjacent surface doesn't grow layer, but layer ends on it
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// 2 == adjacent surface is interior surface that ends on layer
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// 3 == adjacent surface is exterior surface that ends on layer (not allowed yet)
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Array<Array<pair<SegmentIndex, int>>, SegmentIndex> segmap(mesh.GetNSeg());
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// moved segments
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Array<SegmentIndex> moved_segs;
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// boundaries to project endings to
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BitArray project_boundaries(fd_old+1);
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BitArray move_boundaries(fd_old+1);
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project_boundaries.Clear();
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move_boundaries.Clear();
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Array<SurfaceElementIndex, SegmentIndex> seg2surfel(mesh.GetNSeg());
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for(auto si : Range(mesh.SurfaceElements()))
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{
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NgArray<int> surfeledges;
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meshtopo.GetSurfaceElementEdges(si+1, surfeledges);
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for(auto edgenr : surfeledges)
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for(auto sei : Range(mesh.LineSegments()))
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if(meshtopo.GetEdge(sei)+1 == edgenr &&
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mesh[sei].si == mesh[si].GetIndex())
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seg2surfel[sei] = si;
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}
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for(auto si : Range(mesh.LineSegments()))
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{
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if(segs_done[si]) continue;
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const auto& segi = mesh[si];
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if(si_map[segi.si] == -1) continue;
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segs_done.SetBit(si);
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segmap[si].Append(make_pair(si, 0));
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moved_segs.Append(si);
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for(auto sj : Range(mesh.LineSegments()))
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{
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if(segs_done.Test(sj)) continue;
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const auto& segj = mesh[sj];
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if((segi[0] == segj[0] && segi[1] == segj[1]) ||
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(segi[0] == segj[1] && segi[1] == segj[0]))
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{
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segs_done.SetBit(sj);
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int type;
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if(si_map[segj.si] != -1)
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type = 0;
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else if(const auto& fd = mesh.GetFaceDescriptor(segj.si); domains.Test(fd.DomainIn()) && domains.Test(fd.DomainOut()))
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{
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type = 2;
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if(fd.DomainIn() == 0 || fd.DomainOut() == 0)
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project_boundaries.SetBit(segj.si);
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}
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else if(const auto& fd = mesh.GetFaceDescriptor(segj.si); !domains.Test(fd.DomainIn()) && !domains.Test(fd.DomainOut()))
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{
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type = 3;
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if(fd.DomainIn() == 0 || fd.DomainOut() == 0)
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project_boundaries.SetBit(segj.si);
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move_boundaries.SetBit(segj.si);
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}
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else
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{
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type = 1;
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// in case 1 we project the growthvector onto the surface
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project_boundaries.SetBit(segj.si);
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}
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segmap[si].Append(make_pair(sj, type));
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}
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}
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}
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BitArray in_surface_direction(fd_old+1);
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in_surface_direction.Clear();
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// project growthvector on surface for inner angles
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if(blp.grow_edges)
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{
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for(const auto& sel : mesh.SurfaceElements())
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if(project_boundaries.Test(sel.GetIndex()))
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{
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auto n = getSurfaceNormal(sel);
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for(auto i : Range(sel.PNums()))
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{
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auto pi = sel.PNums()[i];
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if(growthvectors[pi].Length2() == 0.)
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continue;
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auto next = sel.PNums()[(i+1)%sel.GetNV()];
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auto prev = sel.PNums()[i == 0 ? sel.GetNV()-1 : i-1];
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auto v1 = (mesh[next] - mesh[pi]).Normalize();
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auto v2 = (mesh[prev] - mesh[pi]).Normalize();
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auto v3 = growthvectors[pi];
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v3.Normalize();
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if((v1 * v3 > 1e-12) || (v2 * v3 > 1e-12))
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in_surface_direction.SetBit(sel.GetIndex());
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auto& g = growthvectors[pi];
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auto ng = n * g;
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auto gg = g * g;
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auto nn = n * n;
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// if(fabs(ng*ng-nn*gg) < 1e-12 || fabs(ng) < 1e-12) continue;
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auto a = -ng*ng/(ng*ng-nn * gg);
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auto b = ng*gg/(ng*ng-nn*gg);
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g += a*g + b*n;
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}
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}
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}
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else
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{
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for(const auto& seg : mesh.LineSegments())
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{
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int count = 0;
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for(const auto& seg2 : mesh.LineSegments())
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if(((seg[0] == seg2[0] && seg[1] == seg2[1]) || (seg[0] == seg2[1] && seg[1] == seg2[0])) && blp.surfid.Contains(seg2.si))
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count++;
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if(count == 1)
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{
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growthvectors[seg[0]] = {0., 0., 0.};
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growthvectors[seg[1]] = {0., 0., 0.};
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}
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}
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}
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// insert new points
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for (PointIndex pi = 1; pi <= np; pi++)
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if (growthvectors[pi].Length2() != 0)
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{
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Point<3> p = mesh[pi];
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for(auto i : Range(blp.heights))
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{
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p += blp.heights[i] * growthvectors[pi];
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mapto[pi].Append(mesh.AddPoint(p));
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}
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}
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// add 2d quads on required surfaces
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map<pair<PointIndex, PointIndex>, int> seg2edge;
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if(blp.grow_edges)
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{
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for(auto sei : moved_segs)
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{
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// copy here since we will add segments and this would
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// invalidate a reference!
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auto segi = mesh[sei];
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for(auto [sej, type] : segmap[sei])
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{
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auto segj = mesh[sej];
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if(type == 0)
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{
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Segment s;
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s[0] = mapto[segj[0]].Last();
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s[1] = mapto[segj[1]].Last();
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s[2] = PointIndex::INVALID;
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auto pair = s[0] < s[1] ? make_pair(s[0], s[1]) : make_pair(s[1], s[0]);
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if(seg2edge.find(pair) == seg2edge.end())
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seg2edge[pair] = ++max_edge_nr;
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s.edgenr = seg2edge[pair];
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s.si = si_map[segj.si];
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mesh.AddSegment(s);
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}
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// here we need to grow the quad elements
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else if(type == 1)
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{
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PointIndex pp1 = segj[1];
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PointIndex pp2 = segj[0];
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if(in_surface_direction.Test(segj.si))
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{
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Swap(pp1, pp2);
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move_boundaries.SetBit(segj.si);
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}
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PointIndex p1 = pp1;
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PointIndex p2 = pp2;
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PointIndex p3, p4;
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Segment s0;
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s0[0] = p1;
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s0[1] = p2;
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s0[2] = PointIndex::INVALID;
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s0.edgenr = segj.edgenr;
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s0.si = segj.si;
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mesh.AddSegment(s0);
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for(auto i : Range(blp.heights))
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{
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Element2d sel(QUAD);
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p3 = mapto[pp2][i];
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p4 = mapto[pp1][i];
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sel[0] = p1;
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sel[1] = p2;
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sel[2] = p3;
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sel[3] = p4;
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sel.SetIndex(segj.si);
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mesh.AddSurfaceElement(sel);
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// TODO: Too many, would be enough to only add outermost ones
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Segment s1;
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s1[0] = p2;
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s1[1] = p3;
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s1[2] = PointIndex::INVALID;
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auto pair = make_pair(p2, p3);
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if(seg2edge.find(pair) == seg2edge.end())
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seg2edge[pair] = ++max_edge_nr;
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s1.edgenr = seg2edge[pair];
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s1.si = segj.si;
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mesh.AddSegment(s1);
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Segment s2;
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s2[0] = p4;
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s2[1] = p1;
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s2[2] = PointIndex::INVALID;
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pair = make_pair(p1, p4);
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if(seg2edge.find(pair) == seg2edge.end())
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seg2edge[pair] = ++max_edge_nr;
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s2.edgenr = seg2edge[pair];
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s2.si = segj.si;
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mesh.AddSegment(s2);
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p1 = p4;
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p2 = p3;
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}
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Segment s3;
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s3[0] = p3;
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s3[1] = p4;
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s3[2] = PointIndex::INVALID;
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auto pair = p3 < p4 ? make_pair(p3, p4) : make_pair(p4, p3);
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if(seg2edge.find(pair) == seg2edge.end())
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seg2edge[pair] = ++max_edge_nr;
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s3.edgenr = seg2edge[pair];
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s3.si = segj.si;
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mesh.AddSegment(s3);
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}
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}
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}
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}
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BitArray fixed_points(np+1);
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fixed_points.Clear();
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BitArray moveboundarypoint(np+1);
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moveboundarypoint.Clear();
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for(SurfaceElementIndex si = 0; si < nse; si++)
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{
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// copy because surfaceels array will be resized!
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auto sel = mesh[si];
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if(si_map[sel.GetIndex()] != -1)
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{
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Array<PointIndex> points(sel.PNums());
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if(surfacefacs[sel.GetIndex()] > 0) Swap(points[0], points[2]);
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for(auto j : Range(blp.heights))
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{
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auto eltype = points.Size() == 3 ? PRISM : HEX;
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Element el(eltype);
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for(auto i : Range(points))
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el[i] = points[i];
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for(auto i : Range(points))
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points[i] = mapto[sel.PNums()[i]][j];
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if(surfacefacs[sel.GetIndex()] > 0) Swap(points[0], points[2]);
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for(auto i : Range(points))
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el[sel.PNums().Size() + i] = points[i];
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el.SetIndex(new_mat_nr);
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mesh.AddVolumeElement(el);
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}
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Element2d newel = sel;
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for(auto& p : newel.PNums())
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p = mapto[p].Last();
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newel.SetIndex(si_map[sel.GetIndex()]);
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mesh.AddSurfaceElement(newel);
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}
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else
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{
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bool has_moved = false;
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for(auto p : sel.PNums())
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if(mapto[p].Size())
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has_moved = true;
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if(has_moved)
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for(auto p : sel.PNums())
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{
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if(!mapto[p].Size())
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{
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fixed_points.SetBit(p);
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if(move_boundaries.Test(sel.GetIndex()))
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moveboundarypoint.SetBit(p);
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}
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}
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}
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if(move_boundaries.Test(sel.GetIndex()))
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{
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for(auto& p : mesh[si].PNums())
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if(mapto[p].Size())
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p = mapto[p].Last();
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}
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}
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for(SegmentIndex sei = 0; sei < nseg; sei++)
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{
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auto& seg = mesh[sei];
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if(move_boundaries.Test(seg.si))
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for(auto& p : seg.PNums())
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if(mapto[p].Size())
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p = mapto[p].Last();
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}
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for(ElementIndex ei = 0; ei < ne; ei++)
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{
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auto el = mesh[ei];
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ArrayMem<PointIndex,4> fixed;
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ArrayMem<PointIndex,4> moved;
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bool moved_bnd = false;
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for(const auto& p : el.PNums())
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{
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if(fixed_points.Test(p))
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fixed.Append(p);
|
|
if(mapto[p].Size())
|
|
moved.Append(p);
|
|
if(moveboundarypoint.Test(p))
|
|
moved_bnd = true;
|
|
}
|
|
|
|
bool do_move, do_insert;
|
|
if(domains.Test(el.GetIndex()))
|
|
{
|
|
do_move = fixed.Size() && moved_bnd;
|
|
do_insert = do_move;
|
|
}
|
|
else
|
|
{
|
|
do_move = !fixed.Size() || moved_bnd;
|
|
do_insert = !do_move;
|
|
}
|
|
|
|
if(do_move)
|
|
{
|
|
for(auto& p : mesh[ei].PNums())
|
|
if(mapto[p].Size())
|
|
p = mapto[p].Last();
|
|
}
|
|
if(do_insert)
|
|
{
|
|
if(el.GetType() == TET)
|
|
{
|
|
if(moved.Size() == 3) // inner corner
|
|
{
|
|
PointIndex p1 = moved[0];
|
|
PointIndex p2 = moved[1];
|
|
PointIndex p3 = moved[2];
|
|
auto v1 = mesh[p1];
|
|
auto n = Cross(mesh[p2]-v1, mesh[p3]-v1);
|
|
auto d = mesh[mapto[p1][0]] - v1;
|
|
if(n*d > 0)
|
|
Swap(p2,p3);
|
|
PointIndex p4 = p1;
|
|
PointIndex p5 = p2;
|
|
PointIndex p6 = p3;
|
|
for(auto i : Range(blp.heights))
|
|
{
|
|
Element nel(PRISM);
|
|
nel[0] = p4; nel[1] = p5; nel[2] = p6;
|
|
p4 = mapto[p1][i]; p5 = mapto[p2][i]; p6 = mapto[p3][i];
|
|
nel[3] = p4; nel[4] = p5; nel[5] = p6;
|
|
nel.SetIndex(el.GetIndex());
|
|
mesh.AddVolumeElement(nel);
|
|
}
|
|
}
|
|
if(moved.Size() == 2)
|
|
{
|
|
if(fixed.Size() == 1)
|
|
{
|
|
PointIndex p1 = moved[0];
|
|
PointIndex p2 = moved[1];
|
|
for(auto i : Range(blp.heights))
|
|
{
|
|
PointIndex p3 = mapto[moved[1]][i];
|
|
PointIndex p4 = mapto[moved[0]][i];
|
|
Element nel(PYRAMID);
|
|
nel[0] = p1;
|
|
nel[1] = p2;
|
|
nel[2] = p3;
|
|
nel[3] = p4;
|
|
nel[4] = el[0] + el[1] + el[2] + el[3] - fixed[0] - moved[0] - moved[1];
|
|
if(Cross(mesh[p2]-mesh[p1], mesh[p4]-mesh[p1]) * (mesh[nel[4]]-mesh[nel[1]]) > 0)
|
|
Swap(nel[1], nel[3]);
|
|
nel.SetIndex(el.GetIndex());
|
|
mesh.AddVolumeElement(nel);
|
|
p1 = p4;
|
|
p2 = p3;
|
|
}
|
|
}
|
|
}
|
|
if(moved.Size() == 1 && fixed.Size() == 1)
|
|
{
|
|
PointIndex p1 = moved[0];
|
|
for(auto i : Range(blp.heights))
|
|
{
|
|
Element nel = el;
|
|
PointIndex p2 = mapto[moved[0]][i];
|
|
for(auto& p : nel.PNums())
|
|
{
|
|
if(p == moved[0])
|
|
p = p1;
|
|
else if(p == fixed[0])
|
|
p = p2;
|
|
}
|
|
p1 = p2;
|
|
mesh.AddVolumeElement(nel);
|
|
}
|
|
}
|
|
}
|
|
else if(el.GetType() == PYRAMID)
|
|
{
|
|
if(moved.Size() == 2)
|
|
{
|
|
if(fixed.Size() != 2)
|
|
throw Exception("This case is not implemented yet! Fixed size = " + ToString(fixed.Size()));
|
|
PointIndex p1 = moved[0];
|
|
PointIndex p2 = moved[1];
|
|
for(auto i : Range(blp.heights))
|
|
{
|
|
PointIndex p3 = mapto[moved[1]][i];
|
|
PointIndex p4 = mapto[moved[0]][i];
|
|
Element nel(PYRAMID);
|
|
nel[0] = p1;
|
|
nel[1] = p2;
|
|
nel[2] = p3;
|
|
nel[3] = p4;
|
|
nel[4] = el[0] + el[1] + el[2] + el[3] + el[4] - fixed[0] - fixed[1] - moved[0] - moved[1];
|
|
if(Cross(mesh[p2] - mesh[p1], mesh[p4]-mesh[p1]) * (mesh[nel[4]]-mesh[nel[1]]) > 0)
|
|
Swap(nel[1], nel[3]);
|
|
nel.SetIndex(el.GetIndex());
|
|
mesh.AddVolumeElement(nel);
|
|
p1 = p4;
|
|
p2 = p3;
|
|
}
|
|
}
|
|
else if(moved.Size() == 1)
|
|
throw Exception("This case is not implemented yet!");
|
|
}
|
|
else
|
|
throw Exception("Boundarylayer only implemented for tets and pyramids outside yet!");
|
|
}
|
|
}
|
|
|
|
for(auto i : Range(1, fd_old+1))
|
|
if(si_map[i] != -1)
|
|
{
|
|
if(mesh.GetFaceDescriptor(mesh.GetNFD()).DomainIn() == new_mat_nr)
|
|
mesh.GetFaceDescriptor(i).SetDomainOut(new_mat_nr);
|
|
else
|
|
mesh.GetFaceDescriptor(i).SetDomainIn(new_mat_nr);
|
|
}
|
|
}
|
|
|
|
void AddDirection( Vec<3> & a, Vec<3> b )
|
|
{
|
|
if(a.Length2()==0.)
|
|
{
|
|
a = b;
|
|
return;
|
|
}
|
|
|
|
if(b.Length2()==0.)
|
|
return;
|
|
|
|
auto ab = a * b;
|
|
if(fabs(ab)>1-1e-8)
|
|
return;
|
|
|
|
Mat<2> m;
|
|
m(0,0) = a[0];
|
|
m(0,1) = a[1];
|
|
m(1,0) = b[0];
|
|
m(1,1) = b[1];
|
|
Vec<2> lam;
|
|
Vec<2> rhs;
|
|
rhs[0] = a[0]-b[0];
|
|
rhs[1] = a[1]-b[1];
|
|
|
|
const auto Dot = [](Vec<3> a, Vec<3> b)
|
|
{ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; };
|
|
|
|
rhs[0] = Dot(a,a);
|
|
rhs[1] = Dot(b,b);
|
|
|
|
m.Solve(rhs, lam);
|
|
a[0] = lam[0];
|
|
a[1] = lam[1];
|
|
a[2] = 0.0;
|
|
return;
|
|
}
|
|
|
|
static void Generate2dMesh( Mesh & mesh, int domain )
|
|
{
|
|
Box<3> box{Box<3>::EMPTY_BOX};
|
|
for(const auto & seg : mesh.LineSegments())
|
|
if (seg.si == domain)
|
|
for (auto pi : {seg[0], seg[1]})
|
|
box.Add(mesh[pi]);
|
|
|
|
MeshingParameters mp;
|
|
Meshing2 meshing (*mesh.GetGeometry(), mp, box);
|
|
|
|
Array<PointIndex, PointIndex> compress(mesh.GetNP());
|
|
compress = PointIndex::INVALID;
|
|
|
|
PointIndex cnt = PointIndex::BASE;
|
|
for(const auto & seg : mesh.LineSegments())
|
|
if (seg.si == domain)
|
|
for (auto pi : {seg[0], seg[1]})
|
|
if (compress[pi]==PointIndex{PointIndex::INVALID})
|
|
{
|
|
meshing.AddPoint(mesh[pi], pi);
|
|
compress[pi] = cnt++;
|
|
}
|
|
|
|
PointGeomInfo gi;
|
|
gi.trignum = domain;
|
|
for(const auto & seg : mesh.LineSegments())
|
|
if (seg.si == domain)
|
|
meshing.AddBoundaryElement (compress[seg[0]], compress[seg[1]], gi, gi);
|
|
|
|
auto oldnf = mesh.GetNSE();
|
|
auto res = meshing.GenerateMesh (mesh, mp, mp.maxh, domain);
|
|
for (SurfaceElementIndex sei : Range(oldnf, mesh.GetNSE()))
|
|
mesh[sei].SetIndex (domain);
|
|
|
|
int hsteps = mp.optsteps2d;
|
|
|
|
const char * optstr = mp.optimize2d.c_str();
|
|
MeshOptimize2d meshopt(mesh);
|
|
meshopt.SetFaceIndex(domain);
|
|
meshopt.SetMetricWeight (mp.elsizeweight);
|
|
for (size_t j = 1; j <= strlen(optstr); j++)
|
|
{
|
|
switch (optstr[j-1])
|
|
{
|
|
case 's':
|
|
{ // topological swap
|
|
meshopt.EdgeSwapping (0);
|
|
break;
|
|
}
|
|
case 'S':
|
|
{ // metric swap
|
|
meshopt.EdgeSwapping (1);
|
|
break;
|
|
}
|
|
case 'm':
|
|
{
|
|
meshopt.ImproveMesh(mp);
|
|
break;
|
|
}
|
|
case 'c':
|
|
{
|
|
meshopt.CombineImprove();
|
|
break;
|
|
}
|
|
default:
|
|
cerr << "Optimization code " << optstr[j-1] << " not defined" << endl;
|
|
}
|
|
}
|
|
|
|
mesh.Compress();
|
|
mesh.OrderElements();
|
|
mesh.SetNextMajorTimeStamp();
|
|
|
|
}
|
|
|
|
int GenerateBoundaryLayer2 (Mesh & mesh, int domain, const Array<double> & thicknesses, bool should_make_new_domain, const Array<int> & boundaries)
|
|
{
|
|
SegmentIndex first_new_seg = mesh.LineSegments().Range().Next();
|
|
|
|
int np = mesh.GetNP();
|
|
int nseg = mesh.GetNSeg();
|
|
int ne = mesh.GetNSE();
|
|
mesh.UpdateTopology();
|
|
|
|
double total_thickness = 0.0;
|
|
for(auto thickness : thicknesses)
|
|
total_thickness += thickness;
|
|
|
|
Array<Array<PointIndex>, PointIndex> mapto(np);
|
|
|
|
// Bit array to keep track of segments already processed
|
|
BitArray segs_done(nseg);
|
|
segs_done.Clear();
|
|
|
|
// moved segments
|
|
Array<SegmentIndex> moved_segs;
|
|
|
|
Array<Vec<3>, PointIndex> growthvectors(np);
|
|
growthvectors = 0.;
|
|
|
|
auto & meshtopo = mesh.GetTopology();
|
|
|
|
Array<SurfaceElementIndex, SegmentIndex> seg2surfel(mesh.GetNSeg());
|
|
seg2surfel = -1;
|
|
NgArray<SurfaceElementIndex> temp_els;
|
|
for(auto si : Range(mesh.LineSegments()))
|
|
{
|
|
meshtopo.GetSegmentSurfaceElements ( si+1, temp_els );
|
|
// NgArray<int> surfeledges;
|
|
// meshtopo.GetSurfaceElementEdges(si+1, surfeledges);
|
|
for(auto seli : temp_els)
|
|
if(mesh[seli].GetIndex() == mesh[si].si)
|
|
seg2surfel[si] = seli;
|
|
}
|
|
|
|
Array<SegmentIndex> segments;
|
|
|
|
// surface index map
|
|
Array<int> si_map(mesh.GetNFD()+1);
|
|
si_map = -1;
|
|
|
|
int fd_old = mesh.GetNFD();
|
|
|
|
int max_edge_nr = -1;
|
|
int max_domain = -1;
|
|
|
|
for(const auto& seg : mesh.LineSegments())
|
|
{
|
|
if(seg.epgeominfo[0].edgenr > max_edge_nr)
|
|
max_edge_nr = seg.epgeominfo[0].edgenr;
|
|
if(seg.si > max_domain)
|
|
max_domain = seg.si;
|
|
}
|
|
|
|
int new_domain = max_domain+1;
|
|
|
|
BitArray active_boundaries(max_edge_nr+1);
|
|
BitArray active_segments(nseg);
|
|
active_boundaries.Clear();
|
|
active_segments.Clear();
|
|
|
|
if(boundaries.Size() == 0)
|
|
active_boundaries.Set();
|
|
else
|
|
for(auto edgenr : boundaries)
|
|
active_boundaries.SetBit(edgenr);
|
|
|
|
for(auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
const auto seg = mesh[segi];
|
|
if(active_boundaries.Test(seg.epgeominfo[0].edgenr) && seg.si==domain)
|
|
active_segments.SetBit(segi);
|
|
}
|
|
|
|
for(auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
const auto& seg = mesh[segi];
|
|
auto si = seg.si;
|
|
|
|
if(si_map[si]!=-1)
|
|
continue;
|
|
|
|
if(!active_segments.Test(segi))
|
|
continue;
|
|
|
|
FaceDescriptor new_fd(0, 0, 0, -1);
|
|
new_fd.SetBCProperty(new_domain);
|
|
int new_fd_index = mesh.AddFaceDescriptor(new_fd);
|
|
si_map[si] = new_domain;
|
|
if(should_make_new_domain)
|
|
mesh.SetBCName(new_domain-1, "mapped_" + mesh.GetBCName(si-1));
|
|
}
|
|
|
|
for(auto si : Range(mesh.LineSegments()))
|
|
{
|
|
if(segs_done[si]) continue;
|
|
segs_done.SetBit(si);
|
|
const auto& segi = mesh[si];
|
|
if(si_map[segi.si] == -1) continue;
|
|
if(!active_boundaries.Test(segi.epgeominfo[0].edgenr))
|
|
continue;
|
|
moved_segs.Append(si);
|
|
}
|
|
|
|
// calculate growth vectors (average normal vectors of adjacent segments at each point)
|
|
for (auto si : moved_segs)
|
|
{
|
|
auto & seg = mesh[si];
|
|
|
|
meshtopo.GetSegmentSurfaceElements ( si+1, temp_els );
|
|
ArrayMem<int, 10> seg_domains;
|
|
|
|
temp_els.SetSize(0);
|
|
if(seg2surfel[si]!=-1)
|
|
temp_els.Append(seg2surfel[si]);
|
|
|
|
int n_temp_els = temp_els.Size();
|
|
if(n_temp_els==0)
|
|
continue;
|
|
|
|
int dom0 = mesh[temp_els[0]].GetIndex();
|
|
int dom1 = n_temp_els==2 ? mesh[temp_els[1]].GetIndex() : 0;
|
|
|
|
bool in_dom0 = dom0 == domain;
|
|
bool in_dom1 = dom1 == domain;
|
|
|
|
if(!in_dom0 && !in_dom1)
|
|
continue;
|
|
|
|
int side = in_dom0 ? 0 : 1;
|
|
|
|
auto & sel = mesh[ temp_els[side] ];
|
|
|
|
int domain = sel.GetIndex();
|
|
Vec<3> pcenter = 0.0;
|
|
for(auto i : IntRange(sel.GetNP()))
|
|
{
|
|
for(auto d : IntRange(3))
|
|
pcenter[d] += mesh[sel[i]][d];
|
|
}
|
|
pcenter = 1.0/sel.GetNP() * pcenter;
|
|
|
|
auto n = mesh[seg[1]] - mesh[seg[0]];
|
|
n = {-n[1], n[0], 0};
|
|
n.Normalize();
|
|
|
|
Vec<3> p0{mesh[seg[0]]};
|
|
Vec<3> p1{mesh[seg[0]]};
|
|
|
|
|
|
auto v = pcenter -0.5*(p0+p1);
|
|
|
|
const auto Dot = [](Vec<3> a, Vec<3> b)
|
|
{ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; };
|
|
if(Dot(n, v)<0)
|
|
n = -1*n;
|
|
|
|
AddDirection(growthvectors[seg[0]], n);
|
|
AddDirection(growthvectors[seg[1]], n);
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
// average growthvectors along straight lines to avoid overlaps in corners
|
|
BitArray points_done(np+1);
|
|
points_done.Clear();
|
|
|
|
for(auto si : moved_segs)
|
|
{
|
|
auto current_seg = mesh[si];
|
|
auto current_si = si;
|
|
|
|
auto first = current_seg[0];
|
|
auto current = -1;
|
|
auto next = current_seg[1];
|
|
|
|
if(points_done.Test(first))
|
|
continue;
|
|
|
|
Array<PointIndex> chain;
|
|
chain.Append(first);
|
|
|
|
// first find closed loops of segments
|
|
while(next != current && next != first)
|
|
{
|
|
current = next;
|
|
points_done.SetBit(current);
|
|
chain.Append(current);
|
|
for(auto sj : meshtopo.GetVertexSegments( current ))
|
|
{
|
|
if(!active_segments.Test(sj))
|
|
continue;
|
|
|
|
if(sj!=current_si)
|
|
{
|
|
current_si = sj;
|
|
current_seg = mesh[sj];
|
|
|
|
next = current_seg[0] + current_seg[1] - current;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
auto ifirst = 0;
|
|
auto n = chain.Size();
|
|
|
|
// angle of adjacent segments at points a[i-1], a[i], a[i+1]
|
|
auto getAngle = [&mesh, &growthvectors] (FlatArray<PointIndex> a, size_t i)
|
|
{
|
|
auto n = a.Size();
|
|
auto v0 = growthvectors[a[(i+n-1)%n]];
|
|
auto v1 = growthvectors[a[i]];
|
|
auto v2 = growthvectors[a[(i+1)%n]];
|
|
|
|
auto p0 = mesh[a[(i+n-1)%n]];
|
|
auto p1 = mesh[a[i]];
|
|
auto p2 = mesh[a[(i+1)%n]];
|
|
|
|
v0 = p1-p0;
|
|
v1 = p2-p1;
|
|
|
|
auto angle = abs(atan2(v1[0], v1[1]) - atan2(v0[0], v0[1]));
|
|
if(angle>M_PI)
|
|
angle = 2*M_PI-angle;
|
|
|
|
return angle;
|
|
};
|
|
|
|
// find first corner point
|
|
while(getAngle(chain, ifirst) < 1e-5 )
|
|
ifirst = (ifirst+1)%n;
|
|
|
|
// Copy points of closed loop in correct order, starting with a corner
|
|
Array<PointIndex> pis(n+1);
|
|
pis.Range(0, n-ifirst) = chain.Range(ifirst, n);
|
|
pis.Range(n-ifirst, n) = chain.Range(0, n-ifirst);
|
|
pis[n] = pis[0];
|
|
|
|
Array<double> lengths(n);
|
|
|
|
for(auto i : Range(n))
|
|
lengths[i] = (mesh[pis[(i+1)%n]] - mesh[pis[i]]).Length();
|
|
|
|
auto averageGrowthVectors = [&] (size_t first, size_t last)
|
|
{
|
|
if(first+1 >= last)
|
|
return;
|
|
|
|
double total_len = 0.0;
|
|
for(auto l : lengths.Range(first, last))
|
|
total_len += l;
|
|
|
|
double len = lengths[first];
|
|
auto v0 = growthvectors[pis[first]];
|
|
auto v1 = growthvectors[pis[last]];
|
|
|
|
for(auto i : Range(first+1, last))
|
|
{
|
|
auto pi = pis[i];
|
|
growthvectors[pi] = (len/total_len)*v1 + (1.0-len/total_len)*v0;
|
|
len += lengths[i];
|
|
}
|
|
};
|
|
|
|
auto icurrent = 0;
|
|
|
|
while(icurrent<n)
|
|
{
|
|
auto ilast = icurrent+1;
|
|
|
|
while(getAngle(pis, ilast) < 1e-5 && ilast < n)
|
|
ilast++;
|
|
|
|
// found straight line -> average growth vectors between end points
|
|
if(icurrent!=ilast)
|
|
averageGrowthVectors(icurrent, ilast);
|
|
|
|
icurrent = ilast;
|
|
}
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
// reduce growthvectors where necessary to avoid overlaps/slim regions
|
|
const auto getSegmentBox = [&] (SegmentIndex segi)
|
|
{
|
|
PointIndex pi0=mesh[segi][0], pi1=mesh[segi][1];
|
|
Box<3> box( mesh[pi0], mesh[pi1] );
|
|
box.Add( mesh[pi0]+growthvectors[pi0] );
|
|
box.Add( mesh[pi1]+growthvectors[pi1] );
|
|
return box;
|
|
};
|
|
|
|
Array<double, PointIndex> growth(np);
|
|
growth = 1.0;
|
|
|
|
const auto Dot = [](auto a, auto b)
|
|
{ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; };
|
|
|
|
const auto restrictGrowthVectors = [&] (SegmentIndex segi0, SegmentIndex segi1)
|
|
{
|
|
if(!active_segments.Test(segi0))
|
|
return;
|
|
|
|
const auto & seg0 = mesh[segi0];
|
|
const auto & seg1 = mesh[segi1];
|
|
|
|
if(seg0.si != seg1.si)
|
|
return;
|
|
|
|
if(segi0 == segi1)
|
|
return;
|
|
|
|
if(seg0[0]==seg1[0] || seg0[0]==seg1[1] || seg0[1]==seg1[0] || seg0[1] == seg1[1])
|
|
return;
|
|
|
|
auto n = mesh[seg0[0]] - mesh[seg0[1]];
|
|
n = {-n[1], n[0], 0};
|
|
n.Normalize();
|
|
if(Dot(n, growthvectors[seg0[0]])<0) n = -n;
|
|
if(Dot(n, growthvectors[seg0[1]])<0) n = -n;
|
|
|
|
auto n1 = mesh[seg1[0]] - mesh[seg1[1]];
|
|
n1 = {-n1[1], n1[0], 0};
|
|
n1.Normalize();
|
|
if(Dot(n1, growthvectors[seg1[0]])<0) n1 = -n;
|
|
if(Dot(n1, growthvectors[seg1[1]])<0) n1 = -n;
|
|
|
|
auto p10 = mesh[seg1[0]];
|
|
auto p11 = mesh[seg1[1]];
|
|
|
|
for ( auto pi : {seg0[0], seg0[1]} )
|
|
{
|
|
if(growthvectors[pi] == 0.0)
|
|
continue;
|
|
|
|
PointIndex pi1 = seg0[0] + seg0[1] - pi;
|
|
auto p1 = mesh[pi1];
|
|
auto p = mesh[pi];
|
|
|
|
Point<3> points[] = { p10, p11, p10+total_thickness*growthvectors[seg1[0]], p11+total_thickness*growthvectors[seg1[1]], p1+total_thickness*growthvectors[pi1] };
|
|
|
|
Vec<3> gn{ growthvectors[pi][1], -growthvectors[pi][0], 0.0 };
|
|
if(Dot(gn, p1-p) < 0)
|
|
gn = -gn;
|
|
|
|
double d0 = Dot(gn, p);
|
|
double d1 = Dot(gn, p1);
|
|
if(d0>d1)
|
|
Swap(d0,d1);
|
|
|
|
bool all_left=true, all_right=true;
|
|
|
|
for (auto i: Range(4))
|
|
{
|
|
auto p_other = points[i];
|
|
auto dot = Dot(gn,p_other);
|
|
if(dot>d0) all_left = false;
|
|
if(dot<d1) all_right = false;
|
|
}
|
|
|
|
if(all_left || all_right)
|
|
return;
|
|
|
|
//for ( auto pi : {seg0[0], seg0[1]} )
|
|
{
|
|
double safety = 1.3;
|
|
double t = safety*total_thickness;
|
|
if(growthvectors[pi] == 0.0)
|
|
continue;
|
|
|
|
Point<3> points[] = { p10, p10+t*growthvectors[seg1[0]], p11, p11+t*growthvectors[seg1[1]] };
|
|
auto p0 = mesh[pi];
|
|
auto p1 = p0 + t*growthvectors[pi];
|
|
auto P2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
|
|
ArrayMem<pair<double, double>, 4> intersections;
|
|
|
|
double alpha, beta;
|
|
|
|
if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[0]), P2(points[2]), alpha, beta ))
|
|
intersections.Append({alpha, 0.0});
|
|
|
|
if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[1]), P2(points[3]), alpha, beta ))
|
|
intersections.Append({alpha, 1.0});
|
|
|
|
if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[0]), P2(points[1]), alpha, beta ))
|
|
intersections.Append({alpha, beta});
|
|
|
|
if(X_INTERSECTION == intersect( P2(p0), P2(p1), P2(points[2]), P2(points[3]), alpha, beta ))
|
|
intersections.Append({alpha, beta});
|
|
|
|
QuickSort(intersections);
|
|
for(auto [alpha,beta] : intersections)
|
|
{
|
|
if(!active_segments.Test(segi1))
|
|
growth[pi] = min(growth[pi], alpha);
|
|
else
|
|
{
|
|
double mean = 0.5*(alpha+beta);
|
|
growth[pi] = min(growth[pi], mean);
|
|
growth[seg1[0]] = min(growth[seg1[0]], mean);
|
|
growth[seg1[1]] = min(growth[seg1[1]], mean);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
Box<3> box(Box<3>::EMPTY_BOX);
|
|
for (auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
auto segbox = getSegmentBox( segi );
|
|
box.Add(segbox.PMin());
|
|
box.Add(segbox.PMax());
|
|
}
|
|
BoxTree<3> segtree(box);
|
|
|
|
for (auto segi : Range(mesh.LineSegments()))
|
|
{
|
|
auto p2 = [](Point<3> p) { return Point<2>{p[0], p[1]}; };
|
|
|
|
auto seg = mesh[segi];
|
|
double alpha,beta;
|
|
intersect( p2(mesh[seg[0]]), p2(mesh[seg[0]]+total_thickness*growthvectors[seg[0]]), p2(mesh[seg[1]]), p2(mesh[seg[1]]+total_thickness*growthvectors[seg[1]]), alpha, beta );
|
|
|
|
if(beta>0 && alpha>0 && alpha<1.1)
|
|
growth[seg[0]] = min(growth[seg[0]], 0.8*alpha);
|
|
if(alpha>0 && beta>0 && beta<1.1)
|
|
growth[seg[1]] = min(growth[seg[1]], 0.8*beta);
|
|
|
|
for (auto segj : Range(mesh.LineSegments()))
|
|
if(segi!=segj)
|
|
restrictGrowthVectors(segi, segj);
|
|
}
|
|
|
|
for( auto pi : Range(growthvectors))
|
|
growthvectors[pi] *= growth[pi];
|
|
|
|
|
|
// insert new points
|
|
for(PointIndex pi : Range(mesh.Points()))
|
|
if(growthvectors[pi].Length2()!=0)
|
|
{
|
|
|
|
auto & pnew = mapto[pi];
|
|
auto dist = 0.0;
|
|
for(auto t : thicknesses)
|
|
{
|
|
dist+=t;
|
|
pnew.Append( mesh.AddPoint( mesh[pi] + dist*growthvectors[pi] ) );
|
|
mesh[pnew.Last()].SetType(FIXEDPOINT);
|
|
}
|
|
}
|
|
|
|
map<pair<PointIndex, PointIndex>, int> seg2edge;
|
|
|
|
// insert new elements ( and move old ones )
|
|
for(auto si : moved_segs)
|
|
{
|
|
auto seg = mesh[si];
|
|
|
|
bool swap = false;
|
|
auto & pm0 = mapto[seg[0]];
|
|
auto & pm1 = mapto[seg[1]];
|
|
|
|
auto newindex = si_map[seg.si];
|
|
|
|
Segment s = seg;
|
|
s.geominfo[0] = {};
|
|
s.geominfo[1] = {};
|
|
s[0] = pm0.Last();
|
|
s[1] = pm1.Last();
|
|
s[2] = PointIndex::INVALID;
|
|
auto pair = s[0] < s[1] ? make_pair(s[0], s[1]) : make_pair(s[1], s[0]);
|
|
if(seg2edge.find(pair) == seg2edge.end())
|
|
seg2edge[pair] = ++max_edge_nr;
|
|
s.edgenr = seg2edge[pair];
|
|
s.si = seg.si;
|
|
mesh.AddSegment(s);
|
|
|
|
Swap(s[0], s[1]);
|
|
s.si = newindex;
|
|
mesh.AddSegment(s);
|
|
|
|
for ( auto i : Range(thicknesses))
|
|
{
|
|
PointIndex pi0, pi1, pi2, pi3;
|
|
|
|
if(i==0)
|
|
{
|
|
pi0 = seg[0];
|
|
pi1 = seg[1];
|
|
}
|
|
else
|
|
{
|
|
pi0 = pm0[i-1];
|
|
pi1 = pm1[i-1];
|
|
}
|
|
|
|
pi2 = pm1[i];
|
|
pi3 = pm0[i];
|
|
|
|
if(i==0)
|
|
{
|
|
auto p0 = mesh[pi0];
|
|
auto p1 = mesh[pi1];
|
|
auto q0 = mesh[pi2];
|
|
auto q1 = mesh[pi3];
|
|
|
|
Vec<2> n = {-p1[1]+p0[1], p1[0]-p0[0]};
|
|
Vec<2> v = { q0[0]-p0[0], q0[1]-p0[1]};
|
|
if(n[0]*v[0]+n[1]*v[1]<0)
|
|
swap = true;
|
|
}
|
|
|
|
Element2d newel;
|
|
newel.SetType(QUAD);
|
|
newel[0] = pi0;
|
|
newel[1] = pi1;
|
|
newel[2] = pi2;
|
|
newel[3] = pi3;
|
|
newel.SetIndex(si_map[seg.si]);
|
|
newel.GeomInfo() = PointGeomInfo{};
|
|
|
|
// if(swap)
|
|
// {
|
|
// Swap(newel[0], newel[1]);
|
|
// Swap(newel[2], newel[3]);
|
|
// }
|
|
|
|
mesh.AddSurfaceElement(newel);
|
|
|
|
}
|
|
// segment now adjacent to new 2d-domain!
|
|
mesh[si].si = si_map[seg.si];
|
|
}
|
|
|
|
for(auto pi : Range(mapto))
|
|
{
|
|
if(mapto[pi].Size() == 0)
|
|
continue;
|
|
auto pnew = mapto[pi].Last();
|
|
NgArray<SurfaceElementIndex> old_els;
|
|
meshtopo.GetVertexSurfaceElements( pi, old_els);
|
|
for(auto old_sei : old_els)
|
|
{
|
|
if(mesh[old_sei].GetIndex() == domain)
|
|
{
|
|
auto & old_el = mesh[old_sei];
|
|
for(auto i : IntRange(old_el.GetNP()))
|
|
if(old_el[i]==pi)
|
|
old_el[i] = pnew;
|
|
}
|
|
}
|
|
}
|
|
|
|
for(auto & sel : mesh.SurfaceElements())
|
|
if(sel.GetIndex() == domain)
|
|
sel.Delete();
|
|
|
|
mesh.Compress();
|
|
mesh.CalcSurfacesOfNode();
|
|
|
|
Generate2dMesh(mesh, domain);
|
|
|
|
// even without new domain, we need temporarily a new domain to mesh the remaining area, without confusing the meshes with quads -> add segments temporarily and reset domain number and segments afterwards
|
|
if(!should_make_new_domain)
|
|
{
|
|
// map new domain back to old one
|
|
for(auto & sel : mesh.SurfaceElements())
|
|
if(sel.GetIndex()==new_domain)
|
|
sel.SetIndex(domain);
|
|
|
|
// remove (temporary) inner segments
|
|
for(auto segi : Range(first_new_seg, mesh.LineSegments().Range().Next()))
|
|
{
|
|
mesh[segi][0].Invalidate();
|
|
mesh[segi][1].Invalidate();
|
|
}
|
|
|
|
for(auto segi : moved_segs)
|
|
mesh[segi].si = domain;
|
|
|
|
mesh.Compress();
|
|
mesh.CalcSurfacesOfNode();
|
|
}
|
|
|
|
return new_domain;
|
|
}
|
|
|
|
}
|