mirror of
https://github.com/NGSolve/netgen.git
synced 2024-09-22 17:52:50 +05:00
970 lines
24 KiB
C++
970 lines
24 KiB
C++
#include <mystdlib.h>
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#include "meshing.hpp"
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#include <geom2d/csg2d.hpp>
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// not yet working ....
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namespace netgen
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{
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using ngcore::INT;
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extern void Optimize2d (Mesh & mesh, MeshingParameters & mp);
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static inline Point<2> P2( Point<3> p )
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{
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return {p[0], p[1]};
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}
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static inline Point<3> P3( Point<2> p )
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{
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return {p[0], p[1], 0};
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}
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class DelaunayTrig
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{
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PointIndex pnums[3];
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Point<2> c;
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public:
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double r;
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double rad2;
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DelaunayTrig () = default;
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DelaunayTrig (int p1, int p2, int p3)
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{
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pnums[0] = p1;
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pnums[1] = p2;
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pnums[2] = p3;
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}
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PointIndex & operator[] (int j) { return pnums[j]; }
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const PointIndex & operator[] (int j) const { return pnums[j]; }
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void CalcCenter (Mesh & mesh)
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{
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Point<2> p1 = P2(mesh[pnums[0]]);
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Point<2> p2 = P2(mesh[pnums[1]]);
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Point<2> p3 = P2(mesh[pnums[2]]);
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Vec<2> v1 = p2-p1;
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Vec<2> v2 = p3-p1;
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/*
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Mat<2,2> mat, inv;
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mat(0,0) = v1*v1;
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mat(0,1) = v1*v2;
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mat(1,0) = v2*v1;
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mat(1,1) = v2*v2;
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Vec<2> rhs, sol;
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rhs(0) = 0.5 * v1*v1;
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rhs(1) = 0.5 * v2*v2;
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CalcInverse (mat, inv);
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sol = inv * rhs;
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c = p1 + sol(0) * v1 + sol(1) * v2;
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rad2 = Dist2(c, p1);
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r = sqrt(rad2);
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*/
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// without normal equation ...
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Mat<2,2> mat, inv;
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mat(0,0) = v1(0); mat(0,1) = v1(1);
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mat(1,0) = v2(0); mat(1,1) = v2(1);
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CalcInverse (mat, inv);
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Vec<2> rhs, sol;
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rhs(0) = 0.5 * v1*v1;
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rhs(1) = 0.5 * v2*v2;
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sol = inv * rhs;
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c = p1 + sol;
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rad2 = Dist2(c, p1);
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r = sqrt(rad2);
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}
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Point<2> Center() const { return c; }
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double Radius2() const { return rad2; }
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Box<2> BoundingBox() const { return Box<2> (c-Vec<2>(r,r), c+Vec<2>(r,r)); }
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mutable PointIndex visited_pi = -1;
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};
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class DelaunayMesh
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{
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ngcore::ClosedHashTable<INT<2>, INT<2>> edge_to_trig;
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Array<DelaunayTrig> trigs;
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unique_ptr<DelaunayTree<2>> tree;
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Mesh & mesh;
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Array<int> closeels;
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Array<int> intersecting;
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Array<INT<2>> edges;
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int GetNeighbour( int eli, int edge )
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{
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auto p0 = trigs[eli][(edge+1)%3];
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auto p1 = trigs[eli][(edge+2)%3];
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if(p1<p0)
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Swap(p0,p1);
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INT<2> hash = {p0,p1};
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/*
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if(!edge_to_trig.Used(hash))
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return -1;
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auto i2 = edge_to_trig.Get({p0,p1});
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return i2[0] == eli ? i2[1] : i2[0];
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*/
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auto pos = edge_to_trig.Position(hash);
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if (pos == -1) return -1;
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auto i2 = edge_to_trig.GetData(pos);
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return i2[0] == eli ? i2[1] : i2[0];
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}
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void SetNeighbour( int eli, int edge )
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{
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auto p0 = trigs[eli][(edge+1)%3];
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auto p1 = trigs[eli][(edge+2)%3];
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if(p1<p0)
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Swap(p0,p1);
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INT<2> hash = {p0,p1};
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auto pos = edge_to_trig.Position(hash);
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if (pos == -1)
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edge_to_trig[hash] = {eli, -1};
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else
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{
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auto i2 = edge_to_trig.GetData(pos);
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if(i2[0]==-1)
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i2[0] = eli;
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else
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{
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if(i2[1]==-1)
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i2[1] = eli;
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}
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edge_to_trig.SetData (pos, i2);
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}
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/*
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if(!edge_to_trig.Used(hash))
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edge_to_trig[hash] = {eli, -1};
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else
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{
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auto i2 = edge_to_trig.Get({p0,p1});
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if(i2[0]==-1)
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i2[0] = eli;
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else
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{
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if(i2[1]==-1)
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i2[1] = eli;
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}
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edge_to_trig[hash] = i2;
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}
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*/
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}
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void UnsetNeighbours( int eli )
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{
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for(int edge : Range(3))
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{
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auto p0 = trigs[eli][(edge+1)%3];
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auto p1 = trigs[eli][(edge+2)%3];
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if(p1<p0)
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Swap(p0,p1);
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INT<2> hash = {p0,p1};
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// auto i2 = edge_to_trig.Get({p0,p1});
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auto pos = edge_to_trig.Position(hash);
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auto i2 = edge_to_trig.GetData(pos);
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if(i2[0]==eli)
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i2[0] = i2[1];
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i2[1] = -1;
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// edge_to_trig[hash] = i2;
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edge_to_trig.SetData (pos, i2);
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}
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}
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void AppendTrig( int pi0, int pi1, int pi2 )
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{
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DelaunayTrig el;
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el[0] = pi0;
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el[1] = pi1;
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el[2] = pi2;
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el.CalcCenter(mesh);
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trigs.Append(el);
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int ti = trigs.Size()-1;
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tree->Insert(el.BoundingBox(), ti);
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for(int i : Range(3))
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SetNeighbour(ti, i);
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}
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public:
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DelaunayMesh( Mesh & mesh_, Box<2> box )
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: mesh(mesh_)
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{
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Vec<2> vdiag = box.PMax()-box.PMin();
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double w = vdiag(0);
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double h = vdiag(1);
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Point<2> p0 = box.PMin() + Vec<2> ( -3*h, -h);
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Point<2> p1 = box.PMin() + Vec<2> (w+3*h, -h);
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Point<2> p2 = box.Center() + Vec<2> (0, 1.5*h+0.5*w);
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box.Add( p0 );
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box.Add( p1 );
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box.Add( p2 );
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tree = make_unique<DelaunayTree<2>>(box);
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auto pi0 = mesh.AddPoint (P3(p0));
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auto pi1 = mesh.AddPoint (P3(p1));
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auto pi2 = mesh.AddPoint (P3(p2));
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AppendTrig(pi0, pi1, pi2);
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}
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void AddPoint( PointIndex pi_new )
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{
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static Timer t("AddPoint"); RegionTimer reg(t);
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Point<2> newp = P2(mesh[pi_new]);
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intersecting.SetSize(0);
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edges.SetSize(0);
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int definitive_overlapping_trig = -1;
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double minquot{1e20};
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tree->GetFirstIntersecting (newp, newp, [&] (const auto i_trig)
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{
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const auto trig = trigs[i_trig];
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double rad2 = trig.Radius2();
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double d2 = Dist2 (trig.Center(), newp);
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if (d2 >= rad2) return false;
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if (d2 < 0.999 * rad2)
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{
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definitive_overlapping_trig = i_trig;
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return true;
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}
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if (definitive_overlapping_trig == -1 || d2 < 0.99*minquot*rad2)
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{
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minquot = d2/rad2;
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definitive_overlapping_trig = i_trig;
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}
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return false;
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});
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if(definitive_overlapping_trig==-1)
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{
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static Timer t("slow check"); RegionTimer reg(t);
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PrintMessage (5, "Warning in delaunay tree - didn't find overlapping circle, check all trigs again");
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for(auto i_trig : trigs.Range())
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{
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const auto trig = trigs[i_trig];
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if(trig[0]==-1)
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continue;
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double rad2 = trig.Radius2();
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double d2 = Dist2 (trig.Center(), newp);
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// if (d2 < 0.999 * rad2)
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if (d2 < (1-1e-10)*rad2)
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{
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definitive_overlapping_trig = i_trig;
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break;
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}
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}
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}
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// static Timer tvis("trig visited");
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// tvis.Start();
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// BitArray trig_visited(trigs.Size());
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// trig_visited.Clear();
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if(definitive_overlapping_trig==-1)
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throw Exception("point not in any circle "+ ToString(pi_new));
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// tvis.Stop();
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// static Timer t2("addpoint - rest"); RegionTimer r2(t2);
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Array<int> trigs_to_visit;
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trigs_to_visit.Append(definitive_overlapping_trig);
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intersecting.Append(definitive_overlapping_trig);
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// trig_visited.SetBit(definitive_overlapping_trig);
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trigs[definitive_overlapping_trig].visited_pi = pi_new;
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while(trigs_to_visit.Size())
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{
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int ti = trigs_to_visit.Last();
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trigs_to_visit.DeleteLast();
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// trig_visited.SetBit(ti);
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auto & trig = trigs[ti];
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trig.visited_pi = pi_new;
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for(auto ei : Range(3))
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{
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auto nb = GetNeighbour(ti, ei);
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if(nb==-1)
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continue;
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// if(trig_visited.Test(nb))
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// continue;
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const auto & trig_nb = trigs[nb];
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if (trig_nb.visited_pi == pi_new)
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continue;
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// trig_visited.SetBit(nb);
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trig_nb.visited_pi = pi_new;
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bool is_intersecting = Dist2(newp, trig_nb.Center()) < trig_nb.Radius2()*(1+1e-12);
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if(!is_intersecting)
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{
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const Point<2> p0 = P2(mesh[PointIndex (trig[(ei+1)%3])]);
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const Point<2> p1 = P2(mesh[PointIndex (trig[(ei+2)%3])]);
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const Point<2> p2 = P2(mesh[PointIndex (trig[ei])]);
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auto v = p1-p0;
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Vec<2> n = {-v[1], v[0]};
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n /= n.Length();
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double dist = n * (newp-p1);
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double scal = n * (p2 - p1);
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if (scal > 0) dist *= -1;
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if (dist > -1e-10)
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is_intersecting = true;
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}
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if(is_intersecting)
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{
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trigs_to_visit.Append(nb);
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intersecting.Append(nb);
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}
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}
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}
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// find outer edges
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for (auto j : intersecting)
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{
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const DelaunayTrig & trig = trigs[j];
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for (int k = 0; k < 3; k++)
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{
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int p1 = trig[k];
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int p2 = trig[(k+1)%3];
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INT<2> edge{p1,p2};
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edge.Sort();
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bool found = false;
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for (int l = 0; l < edges.Size(); l++)
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if (edges[l] == edge)
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{
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edges.RemoveElement(l);
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found = true;
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break;
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}
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if (!found)
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edges.Append (edge);
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}
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}
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for (int j : intersecting)
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{
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UnsetNeighbours(j);
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trigs[j][0] = -1;
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trigs[j][1] = -1;
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trigs[j][2] = -1;
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}
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for (auto edge : edges)
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AppendTrig( edge[0], edge[1], pi_new );
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for (int j : intersecting)
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tree->DeleteElement (j);
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static int counter=0;
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if(0)
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{
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Mesh m;
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m = mesh;
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m.ClearSurfaceElements();
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for (DelaunayTrig & trig : trigs)
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{
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if (trig[0] < 0) continue;
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Vec<3> n = Cross (mesh[trig[1]]-mesh[trig[0]],
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mesh[trig[2]]-mesh[trig[0]]);
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if (n(2) < 0) Swap (trig[1], trig[2]);
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Element2d el(trig[0], trig[1], trig[2]);
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el.SetIndex (1);
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m.AddSurfaceElement (el);
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}
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m.Save("meshes/mesh_"+ToString(counter++)+".vol.gz");
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}
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}
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Array<DelaunayTrig> & GetElements() { return trigs; }
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};
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ostream & operator<< (ostream & ost, DelaunayTrig trig)
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{
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ost << trig[0] << "-" << trig[1] << "-" << trig[2] << endl;
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return ost;
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}
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void Meshing2 :: BlockFillLocalH (Mesh & mesh, const MeshingParameters & mp)
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{
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static Timer timer("Meshing2::BlockFill");
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static Timer timer1("Meshing2::BlockFill 1");
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static Timer timer2("Meshing2::BlockFill 2");
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static Timer timer3("Meshing2::BlockFill 3");
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static Timer timer4("Meshing2::BlockFill 4");
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RegionTimer reg (timer);
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timer1.Start();
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double filldist = mp.filldist;
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PrintMessage (6, "blockfill local h");
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NgArray<Point<3> > npoints;
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// adfront -> CreateTrees();
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Box<3> bbox ( Box<3>::EMPTY_BOX );
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double maxh = 0;
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for (int i = 0; i < adfront.GetNFL(); i++)
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{
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const FrontLine & line = adfront.GetLine (i);
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const Point<3> & p1 = adfront.GetPoint(line.L().I1());
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const Point<3> & p2 = adfront.GetPoint(line.L().I2());
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maxh = max (maxh, Dist (p1, p2));
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bbox.Add (p1);
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bbox.Add (p2);
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}
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// Point<3> mpc = bbox.Center();
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bbox.Increase (bbox.Diam()/2);
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Box<3> meshbox = bbox;
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timer1.Stop();
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timer2.Start();
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LocalH loch2 (bbox, 1, 2);
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if (mp.maxh < maxh) maxh = mp.maxh;
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bool changed;
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do
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{
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static Timer tcf("clear flags");
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tcf.Start();
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// mesh.LocalHFunction().ClearFlags();
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mesh.LocalHFunction().ClearRootFlags();
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tcf.Stop();
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static Timer tcut("tcut");
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tcut.Start();
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for (int i = 0; i < adfront.GetNFL(); i++)
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{
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const FrontLine & line = adfront.GetLine(i);
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Box<3> bbox (adfront.GetPoint (line.L().I1()));
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bbox.Add (adfront.GetPoint (line.L().I2()));
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double filld = filldist * bbox.Diam();
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bbox.Increase (filld);
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mesh.LocalHFunction().CutBoundary (bbox);
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}
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tcut.Stop();
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mesh.LocalHFunction().FindInnerBoxes (&adfront, NULL);
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npoints.SetSize(0);
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mesh.LocalHFunction().GetInnerPoints (npoints);
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changed = false;
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for (int i = 0; i < npoints.Size(); i++)
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{
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if (mesh.LocalHFunction().GetH(npoints[i]) > 1.2 * maxh)
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{
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mesh.LocalHFunction().SetH (npoints[i], maxh);
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changed = true;
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}
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}
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}
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while (changed);
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timer2.Stop();
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timer3.Start();
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if (debugparam.slowchecks)
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{
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(*testout) << "Blockfill with points: " << endl;
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*testout << "loch = " << mesh.LocalHFunction() << endl;
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*testout << "npoints = " << endl << npoints << endl;
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}
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int prims[] = { 211, 223, 227, 229, 233, 239, 241, 251, 257, 263 };
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int prim;
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{
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int i = 0;
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if (npoints.Size())
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while (npoints.Size() % prims[i] == 0) i++;
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prim = prims[i];
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}
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for (int i = 0; i < npoints.Size(); i++)
|
|
{
|
|
size_t hi = (size_t(prim) * size_t(i)) % npoints.Size();
|
|
|
|
if (meshbox.IsIn (npoints[hi]))
|
|
{
|
|
PointIndex gpnum = mesh.AddPoint (npoints[hi]);
|
|
adfront.AddPoint (npoints[hi], gpnum);
|
|
|
|
if (debugparam.slowchecks)
|
|
{
|
|
(*testout) << npoints[hi] << endl;
|
|
|
|
Point<2> p2d (npoints[hi](0), npoints[hi](1));
|
|
if (!adfront.Inside(p2d))
|
|
{
|
|
cout << "add outside point" << endl;
|
|
(*testout) << "outside" << endl;
|
|
}
|
|
}
|
|
|
|
}
|
|
}
|
|
|
|
timer3.Stop();
|
|
timer4.Start();
|
|
|
|
|
|
// find outer points
|
|
|
|
loch2.ClearFlags();
|
|
|
|
for (int i = 0; i < adfront.GetNFL(); i++)
|
|
{
|
|
const FrontLine & line = adfront.GetLine(i);
|
|
|
|
Box<3> bbox (adfront.GetPoint (line.L().I1()));
|
|
bbox.Add (adfront.GetPoint (line.L().I2()));
|
|
|
|
loch2.SetH (bbox.Center(), bbox.Diam());
|
|
}
|
|
|
|
|
|
for (int i = 0; i < adfront.GetNFL(); i++)
|
|
{
|
|
const FrontLine & line = adfront.GetLine(i);
|
|
|
|
Box<3> bbox (adfront.GetPoint (line.L().I1()));
|
|
bbox.Add (adfront.GetPoint (line.L().I2()));
|
|
|
|
bbox.Increase (filldist * bbox.Diam());
|
|
loch2.CutBoundary (bbox);
|
|
}
|
|
|
|
loch2.FindInnerBoxes (&adfront, NULL);
|
|
|
|
// outer points : smooth mesh-grading
|
|
npoints.SetSize(0);
|
|
loch2.GetOuterPoints (npoints);
|
|
|
|
/*
|
|
for (int i = 1; i <= npoints.Size(); i++)
|
|
{
|
|
if (meshbox.IsIn (npoints.Get(i)))
|
|
{
|
|
PointIndex gpnum = mesh.AddPoint (npoints.Get(i));
|
|
adfront.AddPoint (npoints.Get(i), gpnum);
|
|
}
|
|
}
|
|
*/
|
|
|
|
for (const Point<3> p : npoints)
|
|
if (meshbox.IsIn(p))
|
|
{
|
|
PointIndex gpnum = mesh.AddPoint (p);
|
|
adfront.AddPoint (p, gpnum);
|
|
}
|
|
timer4.Stop();
|
|
}
|
|
|
|
|
|
|
|
|
|
void Meshing2 :: Delaunay (Mesh & mesh, int domainnr, const MeshingParameters & mp)
|
|
{
|
|
static Timer timer("Meshing2::Delaunay");
|
|
static Timer t1("Meshing2::Delaunay1");
|
|
static Timer t2("Meshing2::Delaunay2");
|
|
static Timer t3("Meshing2::Delaunay3");
|
|
static Timer timer_addpoints("add points");
|
|
RegionTimer reg (timer);
|
|
|
|
PrintMessage (4, "2D Delaunay meshing");
|
|
|
|
auto first_point_blockfill = mesh.Points().Range().Next();
|
|
|
|
BlockFillLocalH (mesh, mp);
|
|
|
|
auto last_point_blockfill = mesh.Points().Range().Next();
|
|
|
|
t1.Start();
|
|
// Bounding box for starting trig in delaunay
|
|
Box<2> bbox (Box<2>::EMPTY_BOX);
|
|
|
|
for (int i = 0; i < adfront.GetNFL(); i++)
|
|
{
|
|
const FrontLine & line = adfront.GetLine(i);
|
|
bbox.Add (P2(Point<3> (adfront.GetPoint (line.L()[0]))));
|
|
bbox.Add (P2(Point<3> (adfront.GetPoint (line.L()[1]))));
|
|
}
|
|
|
|
for (PointIndex pi : Range(first_point_blockfill, last_point_blockfill))
|
|
bbox.Add(P2(mesh[pi]));
|
|
|
|
for (int i = 0; i < mesh.LockedPoints().Size(); i++)
|
|
bbox.Add (P2(mesh.Point (mesh.LockedPoints()[i])));
|
|
t1.Stop();
|
|
|
|
t2.Start();
|
|
Array<PointIndex> old_points;
|
|
BitArray add_point(mesh.Points().Size()+1);
|
|
Array<PointIndex> addpoints;
|
|
add_point.Clear();
|
|
/*
|
|
for (SegmentIndex si = 0; si < mesh.GetNSeg(); si++)
|
|
{
|
|
const auto & s = mesh[si];
|
|
if ( s.domin==domainnr || s.domout==domainnr )
|
|
{
|
|
add_point.SetBit(s[0]);
|
|
add_point.SetBit(s[1]);
|
|
}
|
|
}
|
|
*/
|
|
/*
|
|
for (int i = 0; i < adfront.GetNFL(); i++)
|
|
{
|
|
const FrontLine & line = adfront.GetLine(i);
|
|
for (int j = 0; j < 2; j++)
|
|
add_point.SetBit (adfront.GetGlobalIndex (line.L()[j]))adfront.GetGlobalIndex (line.L()[j]));
|
|
}
|
|
*/
|
|
for (const auto & line : adfront.GetLines())
|
|
for (int j = 0; j < 2; j++)
|
|
{
|
|
PointIndex pnum = adfront.GetGlobalIndex (line.L()[j]);
|
|
if (!add_point.Test(pnum))
|
|
addpoints.Append(pnum);
|
|
add_point.SetBit (pnum);
|
|
}
|
|
|
|
|
|
t2.Stop();
|
|
|
|
t3.Start();
|
|
Mesh tempmesh;
|
|
tempmesh.AddFaceDescriptor (FaceDescriptor (1, 1, 0, 0));
|
|
tempmesh.AddFaceDescriptor (FaceDescriptor (2, 1, 0, 0));
|
|
tempmesh.AddFaceDescriptor (FaceDescriptor (3, 1, 0, 0));
|
|
|
|
Array<PointIndex, PointIndex> compress;
|
|
Array<PointIndex, PointIndex> icompress(mesh.Points().Size());
|
|
|
|
/*
|
|
for(auto pi : mesh.Points().Range())
|
|
if(add_point.Test(pi))
|
|
*/
|
|
for (PointIndex pi : addpoints)
|
|
{
|
|
icompress[pi] = tempmesh.AddPoint(mesh[pi]);
|
|
compress.Append(pi);
|
|
}
|
|
|
|
for (PointIndex pi : Range(first_point_blockfill, last_point_blockfill))
|
|
{
|
|
icompress[pi] = tempmesh.AddPoint(mesh[pi]);
|
|
compress.Append(pi);
|
|
}
|
|
t3.Stop();
|
|
// DelaunayMesh adds surrounding trig (don't add the last 3 points to delaunay AGAIN!
|
|
auto tempmesh_points = tempmesh.Points().Range();
|
|
|
|
DelaunayMesh dmesh(tempmesh, bbox);
|
|
|
|
timer_addpoints.Start();
|
|
|
|
// // reorder points
|
|
// NgArray<PointIndex, PointIndex::BASE, PointIndex> mixed(old_points.Size());
|
|
// int prims[] = { 11, 13, 17, 19, 23, 29, 31, 37 };
|
|
// int prim;
|
|
//
|
|
// {
|
|
// int i = 0;
|
|
// while (old_points.Size() % prims[i] == 0) i++;
|
|
// prim = prims[i];
|
|
// }
|
|
//
|
|
// for (PointIndex pi : old_points)
|
|
// mixed[pi] = PointIndex ( (prim * pi) % old_points.Size() + PointIndex::BASE );
|
|
|
|
for (auto pi : tempmesh_points)
|
|
dmesh.AddPoint(pi);
|
|
|
|
timer_addpoints.Stop();
|
|
|
|
static Timer taddseg("addseg");
|
|
taddseg.Start();
|
|
|
|
/*
|
|
for (auto seg : mesh.LineSegments())
|
|
{
|
|
if ( seg.domin == domainnr || seg.domout == domainnr )
|
|
{
|
|
if(seg.domin==domainnr)
|
|
seg.domout = 0;
|
|
if(seg.domout==domainnr)
|
|
seg.domin = 0;
|
|
seg[0] = icompress[seg[0]];
|
|
seg[1] = icompress[seg[1]];
|
|
tempmesh.AddSegment(seg);
|
|
}
|
|
}
|
|
*/
|
|
for (const auto & line : adfront.GetLines())
|
|
{
|
|
Segment seg;
|
|
for (int j = 0; j < 2; j++)
|
|
seg[j] = icompress [adfront.GetGlobalIndex (line.L()[j])];
|
|
seg.domin = domainnr;
|
|
seg.domout = 0;
|
|
tempmesh.AddSegment(seg);
|
|
}
|
|
|
|
taddseg.Stop();
|
|
|
|
for (auto & trig : dmesh.GetElements())
|
|
{
|
|
if (trig[0] < 0) continue;
|
|
|
|
Element2d el(trig[0], trig[1], trig[2]);
|
|
el.SetIndex (1);
|
|
tempmesh.AddSurfaceElement (el);
|
|
}
|
|
|
|
bool conforming = false;
|
|
while(!conforming)
|
|
{
|
|
conforming = true;
|
|
BitArray marked_points(tempmesh.Points().Size()+1);
|
|
marked_points = false;
|
|
// Check for trigs cutting a boundary edge (non-conforming mesh)
|
|
auto point_to_trigs = tempmesh.CreatePoint2SurfaceElementTable( 0 );
|
|
for (auto & seg : tempmesh.LineSegments())
|
|
{
|
|
int count_adjacent = 0;;
|
|
PointIndex pi0 = seg[0];
|
|
PointIndex pi1 = seg[1];
|
|
if(marked_points.Test(pi0)) continue;
|
|
if(marked_points.Test(pi1)) continue;
|
|
|
|
for(auto sei : point_to_trigs[pi0])
|
|
for( auto i : Range(3))
|
|
if(tempmesh[sei][i] == pi1)
|
|
count_adjacent++;
|
|
|
|
if(count_adjacent==2)
|
|
continue;
|
|
|
|
PointIndex pi2;
|
|
PointIndex pi3;
|
|
ArrayMem<SurfaceElementIndex, 2> cutting_trigs;
|
|
for(auto sei : point_to_trigs[pi0])
|
|
{
|
|
auto & el = tempmesh[sei];
|
|
pi2 = el[0] == pi0 ? el[1] : el[0];
|
|
pi3 = el[2] == pi0 ? el[1] : el[2];
|
|
double alpha, beta;
|
|
auto itype = intersect( P2(tempmesh[pi0]), P2(tempmesh[pi1]), P2(tempmesh[pi2]), P2(tempmesh[pi3]), alpha, beta );
|
|
if(itype == X_INTERSECTION)
|
|
{
|
|
cutting_trigs.Append(sei);
|
|
break;
|
|
}
|
|
}
|
|
if(cutting_trigs.Size()==0)
|
|
continue;
|
|
for(auto sei : point_to_trigs[pi2])
|
|
{
|
|
if(sei==cutting_trigs[0])
|
|
continue;
|
|
for(auto i : IntRange(3))
|
|
if(tempmesh[sei][i]==pi3)
|
|
cutting_trigs.Append(sei);
|
|
}
|
|
|
|
// Found two trigs cutting a boundary edge -> perform swap
|
|
if(cutting_trigs.Size()==2)
|
|
{
|
|
conforming = false;
|
|
if(marked_points.Test(pi2)) continue;
|
|
if(marked_points.Test(pi3)) continue;
|
|
|
|
auto & el0 = tempmesh[cutting_trigs[0]];
|
|
auto & el1 = tempmesh[cutting_trigs[1]];
|
|
|
|
pi1 = el1[0]+el1[1]+el1[2] - pi2-pi3;
|
|
|
|
if(marked_points.Test(pi1)) continue;
|
|
|
|
marked_points.SetBit(pi0);
|
|
marked_points.SetBit(pi1);
|
|
marked_points.SetBit(pi2);
|
|
marked_points.SetBit(pi3);
|
|
|
|
el0[0] = pi2;
|
|
el0[1] = pi1;
|
|
el0[2] = pi0;
|
|
|
|
el1[0] = pi3;
|
|
el1[1] = pi0;
|
|
el1[2] = pi1;
|
|
}
|
|
}
|
|
}
|
|
|
|
auto point_to_trigs = tempmesh.CreatePoint2SurfaceElementTable( 0 );
|
|
|
|
// Mark edges and trigs as inside or outside, starting with boundary edges
|
|
enum POSITION { UNKNOWN, BOUNDARY, INSIDE, OUTSIDE };
|
|
Array<POSITION, SurfaceElementIndex> trig_pos(tempmesh.SurfaceElements().Size());
|
|
ngcore::ClosedHashTable<INT<2>, POSITION> edge_pos(3*tempmesh.SurfaceElements().Size());
|
|
trig_pos = UNKNOWN;
|
|
|
|
for (auto & seg : tempmesh.LineSegments())
|
|
{
|
|
ArrayMem<SurfaceElementIndex, 2> els;
|
|
INT<2> edge{seg[0], seg[1]};
|
|
edge.Sort();
|
|
edge_pos[edge] = BOUNDARY;
|
|
|
|
for(auto sei : point_to_trigs[seg[0]])
|
|
for( auto i : Range(3))
|
|
if(tempmesh[sei][i] == seg[1])
|
|
els.Append(sei);
|
|
|
|
for(auto sei : els)
|
|
{
|
|
auto & el = tempmesh[sei];
|
|
PointIndex pi2 = el[0]+el[1]+el[2] - seg[0] - seg[1];
|
|
bool is_left = ::netgen::Area(P2(tempmesh[seg[0]]), P2(tempmesh[seg[1]]), P2(tempmesh[pi2]))>0.0;
|
|
POSITION pos;
|
|
|
|
if(is_left == (seg.domin==domainnr))
|
|
pos = INSIDE;
|
|
else
|
|
pos = OUTSIDE;
|
|
|
|
INT<2> e1{seg[0], pi2};
|
|
INT<2> e2{seg[1], pi2};
|
|
e1.Sort();
|
|
e2.Sort();
|
|
if(!edge_pos.Used(e1))
|
|
edge_pos[e1] = pos;
|
|
if(!edge_pos.Used(e2))
|
|
edge_pos[e2] = pos;
|
|
trig_pos[sei] = pos;
|
|
}
|
|
}
|
|
|
|
// Advance from boundary edges/trigs to all others
|
|
bool have_unknown_trigs = true;
|
|
while(have_unknown_trigs)
|
|
{
|
|
have_unknown_trigs = false;
|
|
|
|
for (auto sei : Range(tempmesh.SurfaceElements()))
|
|
{
|
|
auto & el = tempmesh[sei];
|
|
|
|
if(trig_pos[sei] == UNKNOWN)
|
|
{
|
|
have_unknown_trigs = true;
|
|
|
|
// any edge of unkown trig already marked?
|
|
for(auto i : IntRange(3))
|
|
{
|
|
INT<2> edge{el[(i+1)%3], el[(i+2)%3]};
|
|
edge.Sort();
|
|
if(edge_pos.Used(edge) && edge_pos[edge]!=BOUNDARY)
|
|
{
|
|
trig_pos[sei] = edge_pos[edge];
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
// if we could mark the trig -> also mark all edges
|
|
if(trig_pos[sei] != UNKNOWN)
|
|
for(auto i : IntRange(3))
|
|
{
|
|
INT<2> edge{el[(i+1)%3], el[(i+2)%3]};
|
|
edge.Sort();
|
|
if(!edge_pos.Used(edge) || edge_pos[edge]==BOUNDARY)
|
|
edge_pos[edge] = trig_pos[sei];
|
|
}
|
|
}
|
|
}
|
|
|
|
// add inside trigs to actual mesh
|
|
for (auto sei : Range(tempmesh.SurfaceElements()))
|
|
{
|
|
if(trig_pos[sei] == INSIDE)
|
|
{
|
|
auto el = tempmesh[sei];
|
|
|
|
Vec<3> n = Cross (tempmesh[el[1]]-tempmesh[el[0]],
|
|
tempmesh[el[2]]-tempmesh[el[0]]);
|
|
if (n(2) < 0) Swap (el[1], el[2]);
|
|
|
|
el[0] = compress[el[0]];
|
|
el[1] = compress[el[1]];
|
|
el[2] = compress[el[2]];
|
|
el.SetIndex(domainnr);
|
|
mesh.AddSurfaceElement(el);
|
|
}
|
|
}
|
|
|
|
// mesh.Compress(); // don't compress whole mesh after every sub-domain
|
|
}
|
|
|
|
}
|