mirror of
https://github.com/NGSolve/netgen.git
synced 2024-12-26 13:50:33 +05:00
601 lines
20 KiB
C++
601 lines
20 KiB
C++
#include <mystdlib.h>
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#include "meshing.hpp"
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namespace netgen
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{
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DLL_HEADER GeometryRegisterArray geometryregister;
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//DLL_HEADER NgArray<GeometryRegister*> geometryregister;
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GeometryRegister :: ~GeometryRegister()
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{ ; }
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void GeometryFace :: RestrictHTrig(Mesh& mesh,
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const PointGeomInfo& gi0,
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const PointGeomInfo& gi1,
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const PointGeomInfo& gi2,
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const MeshingParameters& mparam,
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int depth, double h) const
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{
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auto p0 = GetPoint(gi0);
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auto p1 = GetPoint(gi1);
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auto p2 = GetPoint(gi2);
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auto longest = (p0-p1).Length();
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int cutedge = 2;
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if(auto len = (p0-p2).Length(); len > longest)
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{
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longest = len;
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cutedge = 1;
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}
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if(auto len = (p1-p2).Length(); len > longest)
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{
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longest = len;
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cutedge = 0;
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}
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PointGeomInfo gi_mid;
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gi_mid.u = (gi0.u + gi1.u + gi2.u)/3;
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gi_mid.v = (gi0.v + gi1.v + gi2.v)/3;
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if(depth % 3 == 0)
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{
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double curvature = 0.;
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curvature = max({curvature, GetCurvature(gi_mid),
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GetCurvature(gi0), GetCurvature(gi1),
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GetCurvature(gi2)});
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if(curvature < 1e-3)
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return;
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double kappa = curvature * mparam.curvaturesafety;
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h = mparam.maxh * kappa < 1 ? mparam.maxh : 1./kappa;
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if(h < 1e-4 * longest)
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return;
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}
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if(h < longest && depth < 10)
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{
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if(cutedge == 0)
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{
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PointGeomInfo gi_m;
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gi_m.u = 0.5 * (gi1.u + gi2.u);
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gi_m.v = 0.5 * (gi1.v + gi2.v);
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RestrictHTrig(mesh, gi_m, gi2, gi0, mparam, depth+1, h);
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RestrictHTrig(mesh, gi_m, gi0, gi1, mparam, depth+1, h);
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}
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else if(cutedge == 1)
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{
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PointGeomInfo gi_m;
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gi_m.u = 0.5 * (gi0.u + gi2.u);
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gi_m.v = 0.5 * (gi0.v + gi2.v);
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RestrictHTrig(mesh, gi_m, gi1, gi2, mparam, depth+1, h);
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RestrictHTrig(mesh, gi_m, gi0, gi1, mparam, depth+1, h);
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}
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else if(cutedge == 2)
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{
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PointGeomInfo gi_m;
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gi_m.u = 0.5 * (gi0.u + gi1.u);
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gi_m.v = 0.5 * (gi0.v + gi1.v);
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RestrictHTrig(mesh, gi_m, gi1, gi2, mparam, depth+1, h);
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RestrictHTrig(mesh, gi_m, gi2, gi0, mparam, depth+1, h);
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}
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}
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else
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{
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auto pmid = GetPoint(gi_mid);
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for(const auto& p : {p0, p1, p2, pmid})
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mesh.RestrictLocalH(p, h);
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}
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}
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struct Line
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{
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Point<3> p0, p1;
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inline double Length() const { return (p1-p0).Length(); }
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inline double Dist(const Line& other) const
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{
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Vec<3> n = p1-p0;
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Vec<3> q = other.p1-other.p0;
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double nq = n*q;
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Point<3> p = p0 + 0.5*n;
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double lambda = (p-other.p0)*n / (nq + 1e-10);
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if (lambda >= 0 && lambda <= 1)
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return (p-other.p0-lambda*q).Length();
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return 1e99;
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}
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};
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void NetgenGeometry :: Analyse(Mesh& mesh,
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const MeshingParameters& mparam) const
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{
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static Timer t1("SetLocalMeshsize"); RegionTimer regt(t1);
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mesh.SetGlobalH(mparam.maxh);
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mesh.SetMinimalH(mparam.minh);
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mesh.SetLocalH(bounding_box.PMin(), bounding_box.PMax(),
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mparam.grading);
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// only set meshsize for edges longer than this
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double mincurvelength = 1e-3 * bounding_box.Diam();
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if(mparam.uselocalh)
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{
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double eps = 1e-10 * bounding_box.Diam();
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const char* savetask = multithread.task;
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multithread.task = "Analyse Edges";
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// restrict meshsize on edges
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for(auto i : Range(edges))
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{
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multithread.percent = 100. * i/edges.Size();
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const auto & edge = edges[i];
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auto length = edge->GetLength();
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// skip very short edges
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if(length < mincurvelength)
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continue;
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static constexpr int npts = 20;
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// restrict mesh size based on edge length
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for(auto i : Range(npts+1))
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mesh.RestrictLocalH(edge->GetPoint(double(i)/npts), length/mparam.segmentsperedge);
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// restrict mesh size based on edge curvature
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double t = 0.;
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auto p_old = edge->GetPoint(t);
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while(t < 1.-eps)
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{
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t += edge->CalcStep(t, 1./mparam.curvaturesafety);
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if(t < 1.)
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{
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auto p = edge->GetPoint(t);
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auto dist = (p-p_old).Length();
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mesh.RestrictLocalH(p, dist);
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p_old = p;
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}
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}
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}
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multithread.task = "Analyse Faces";
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// restrict meshsize on faces
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for(auto i : Range(faces))
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{
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multithread.percent = 100. * i/faces.Size();
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const auto& face = faces[i];
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face->RestrictH(mesh, mparam);
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}
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if(mparam.closeedgefac.has_value())
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{
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multithread.task = "Analyse close edges";
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constexpr int sections = 100;
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Array<Line> lines;
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lines.SetAllocSize(sections*edges.Size());
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BoxTree<3> searchtree(bounding_box.PMin(),
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bounding_box.PMax());
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for(const auto& edge : edges)
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{
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if(edge->GetLength() < eps)
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continue;
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double t = 0.;
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auto p_old = edge->GetPoint(t);
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auto t_old = edge->GetTangent(t);
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t_old.Normalize();
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for(auto i : IntRange(1, sections+1))
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{
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t = double(i)/sections;
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auto p_new = edge->GetPoint(t);
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auto t_new = edge->GetTangent(t);
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t_new.Normalize();
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auto cosalpha = fabs(t_old * t_new);
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if((i == sections) || (cosalpha < cos(10./180 * M_PI)))
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{
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auto index = lines.Append({p_old, p_new});
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searchtree.Insert(p_old, p_new, index);
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p_old = p_new;
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t_old = t_new;
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}
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}
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}
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Array<int> linenums;
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for(auto i : Range(lines))
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{
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const auto& line = lines[i];
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if(line.Length() < eps) continue;
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multithread.percent = 100.*i/lines.Size();
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Box<3> box;
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box.Set(line.p0);
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box.Add(line.p1);
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// box.Increase(max2(mesh.GetH(line.p0), mesh.GetH(line.p1)));
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box.Increase(line.Length());
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double mindist = 1e99;
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linenums.SetSize0();
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searchtree.GetIntersecting(box.PMin(), box.PMax(),
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linenums);
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for(auto num : linenums)
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{
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if(i == num) continue;
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const auto & other = lines[num];
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if((line.p0 - other.p0).Length2() < eps ||
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(line.p0 - other.p1).Length2() < eps ||
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(line.p1 - other.p0).Length2() < eps ||
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(line.p1 - other.p1).Length2() < eps)
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continue;
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mindist = min2(mindist, line.Dist(other));
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}
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if(mindist == 1e99) continue;
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mindist /= *mparam.closeedgefac + 1e-10;
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if(mindist < 1e-3 * bounding_box.Diam())
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{
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(*testout) << "extremely small local h: " << mindist
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<< " --> setting to " << 1e-3 * bounding_box.Diam() << endl;
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(*testout) << "somewhere near " << line.p0 << " - " << line.p1 << endl
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;
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mindist = 1e-3 * bounding_box.Diam();
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}
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mesh.RestrictLocalHLine(line.p0, line.p1, mindist);
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}
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}
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multithread.task = savetask;
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}
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for(const auto& mspnt : mparam.meshsize_points)
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mesh.RestrictLocalH(mspnt.pnt, mspnt.h);
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mesh.LoadLocalMeshSize(mparam.meshsizefilename);
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}
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void NetgenGeometry :: FindEdges(Mesh& mesh,
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const MeshingParameters& mparam) const
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{
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static Timer t1("MeshEdges"); RegionTimer regt(t1);
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static Timer tdivide("Divide Edges");
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static Timer tdivedgesections("Divide edge sections");
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const char* savetask = multithread.task;
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multithread.task = "Mesh Edges";
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// create face descriptors and set bc names
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mesh.SetNBCNames(faces.Size());
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for(auto i : Range(faces.Size()))
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{
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mesh.SetBCName(i, faces[i]->GetName());
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// todo find attached solids
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FaceDescriptor fd(i+1, 1, 0, i+1);
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fd.SetBCName(mesh.GetBCNamePtr(i));
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mesh.AddFaceDescriptor(fd);
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}
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std::map<size_t, PointIndex> vert2meshpt;
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for(auto i : Range(vertices))
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{
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const auto& vert = *vertices[i];
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MeshPoint mp(vert.GetPoint());
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vert2meshpt[vert.GetHash()] = mesh.AddPoint(mp);
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}
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size_t segnr = 0;
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for(auto facenr : Range(faces.Size()))
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{
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const auto& face = *faces[facenr];
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for(auto facebndnr : Range(face.GetNBoundaries()))
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{
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auto boundary = face.GetBoundary(facebndnr);
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for(auto enr : Range(boundary))
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{
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multithread.percent = 100. * ((double(enr)/boundary.Size() + facebndnr)/face.GetNBoundaries() + facenr)/faces.Size();
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const auto& oriented_edge = *boundary[enr];
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auto edgenr = GetEdgeIndex(oriented_edge);
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const auto& edge = edges[edgenr];
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PointIndex startp, endp;
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// throws if points are not found
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startp = vert2meshpt.at(edge->GetStartVertex().GetHash());
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endp = vert2meshpt.at(edge->GetEndVertex().GetHash());
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// ignore collapsed edges
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if(startp == endp && edge->GetLength() < 1e-10 * bounding_box.Diam())
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continue;
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Array<MeshPoint> mps;
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Array<double> params;
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// -------------------- DivideEdge -----------------
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static constexpr size_t divide_edge_sections = 1000;
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tdivide.Start();
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double hvalue[divide_edge_sections+1];
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hvalue[0] = 0;
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Point<3> old_pt = edge->GetPoint(0.);
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// calc local h for edge
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tdivedgesections.Start();
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for(auto i : Range(divide_edge_sections))
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{
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auto pt = edge->GetPoint(double(i+1)/divide_edge_sections);
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hvalue[i+1] = hvalue[i] + 1./mesh.GetH(pt) * (pt-old_pt).Length();
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old_pt = pt;
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}
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int nsubedges = max2(1, int(floor(hvalue[divide_edge_sections]+0.5)));
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tdivedgesections.Stop();
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mps.SetSize(nsubedges-1);
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params.SetSize(nsubedges+1);
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int i = 1;
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int i1 = 0;
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do
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{
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if (hvalue[i1]/hvalue[divide_edge_sections]*nsubedges >= i)
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{
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params[i] = (double(i1)/divide_edge_sections);
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mps[i-1] = MeshPoint(edge->GetPoint(params[i]));
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i++;
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}
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i1++;
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if (i1 > divide_edge_sections)
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{
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nsubedges = i;
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mps.SetSize(nsubedges-1);
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params.SetSize(nsubedges+1);
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cout << "divide edge: local h too small" << endl;
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}
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} while(i < nsubedges);
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params[0] = 0.;
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params[nsubedges] = 1.;
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if(params[nsubedges] <= params[nsubedges-1])
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{
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cout << "CORRECTED" << endl;
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mps.SetSize (nsubedges-2);
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params.SetSize (nsubedges);
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params[nsubedges-1] = 1.;
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}
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tdivide.Stop();
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// ----------- Add Points to mesh and create segments -----
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Array<PointIndex> pnums(mps.Size() + 2);
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pnums[0] = startp;
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pnums[mps.Size()+1] = endp;
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double eps = bounding_box.Diam() * 1e-8;
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for(auto i : Range(mps))
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{
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bool exists = false;
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for(auto pi : Range(mesh.Points()))
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{
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if((mesh[pi] - mps[i]).Length() < eps)
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{
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exists = true;
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pnums[i+1] = pi;
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break;
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}
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}
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if(!exists)
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pnums[i+1] = mesh.AddPoint(mps[i]);
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}
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for(auto i : Range(pnums.Size()-1))
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{
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segnr++;
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Segment seg;
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seg[0] = pnums[i];
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seg[1] = pnums[i+1];
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seg.edgenr = segnr;
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seg.epgeominfo[0].dist = params[i];
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seg.epgeominfo[1].dist = params[i+1];
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seg.epgeominfo[0].edgenr = edgenr;
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seg.epgeominfo[1].edgenr = edgenr;
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seg.si = facenr+1;
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seg.surfnr1 = facenr+1;
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// TODO: implement functionality to transfer edge parameter t to face parameters u,v
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for(auto j : Range(2))
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face.CalcEdgePointGI(*edge, params[i+j],
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seg.epgeominfo[j]);
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if(!oriented_edge.OrientedLikeGlobal())
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{
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swap (seg[0], seg[1]);
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swap (seg.epgeominfo[0].dist, seg.epgeominfo[1].dist);
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swap (seg.epgeominfo[0].u, seg.epgeominfo[1].u);
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swap (seg.epgeominfo[0].v, seg.epgeominfo[1].v);
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}
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mesh.AddSegment(seg);
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}
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}
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}
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}
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mesh.CalcSurfacesOfNode();
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multithread.task = savetask;
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}
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void NetgenGeometry :: MeshSurface(Mesh& mesh,
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const MeshingParameters& mparam) const
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{
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static Timer t1("Surface Meshing"); RegionTimer regt(t1);
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const char* savetask = multithread.task;
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multithread.task = "Mesh Surface";
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Array<int, PointIndex> glob2loc(mesh.GetNP());
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for(auto k : Range(faces))
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{
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multithread.percent = 100. * k/faces.Size();
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const auto& face = *faces[k];
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auto bb = face.GetBoundingBox();
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bb.Increase(bb.Diam()/10);
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Meshing2 meshing(*this, mparam, bb);
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glob2loc = 0;
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int cntp = 0;
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for(auto& seg : mesh.LineSegments())
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{
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if(seg.si == k+1)
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{
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for(auto j : Range(2))
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{
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auto pi = seg[j];
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if(glob2loc[pi] == 0)
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{
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meshing.AddPoint(mesh[pi], pi);
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cntp++;
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glob2loc[pi] = cntp;
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}
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}
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}
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}
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for(auto & seg : mesh.LineSegments())
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{
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if(seg.si == k+1)
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{
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PointGeomInfo gi0, gi1;
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gi0.trignum = gi1.trignum = k+1;
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gi0.u = seg.epgeominfo[0].u;
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gi0.v = seg.epgeominfo[0].v;
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gi1.u = seg.epgeominfo[1].u;
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gi1.v = seg.epgeominfo[1].v;
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meshing.AddBoundaryElement(glob2loc[seg[0]],
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glob2loc[seg[1]],
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gi0, gi1);
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}
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}
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// TODO Set max area 2* area of face
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auto noldsurfels = mesh.GetNSE();
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static Timer t("GenerateMesh"); RegionTimer reg(t);
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MESHING2_RESULT res = meshing.GenerateMesh(mesh, mparam, mparam.maxh, k+1);
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for(auto i : Range(noldsurfels, mesh.GetNSE()))
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{
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mesh.SurfaceElements()[i].SetIndex(k+1);
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}
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}
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multithread.task = savetask;
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}
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void NetgenGeometry :: OptimizeSurface(Mesh& mesh, const MeshingParameters& mparam) const
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{
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const auto savetask = multithread.task;
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multithread.task = "Optimizing surface";
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static Timer timer_opt2d("Optimization 2D");
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RegionTimer reg(timer_opt2d);
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auto meshopt = MeshOptimize2d(mesh);
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for(auto i : Range(mparam.optsteps2d))
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{
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PrintMessage(3, "Optimization step ", i);
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int innerstep = 0;
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for(auto optstep : mparam.optimize2d)
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{
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multithread.percent = 100. * (double(innerstep++)/mparam.optimize2d.size() + i)/mparam.optsteps2d;
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switch(optstep)
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{
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case 's':
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meshopt.EdgeSwapping(0);
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break;
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case 'S':
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meshopt.EdgeSwapping(1);
|
|
break;
|
|
case 'm':
|
|
meshopt.ImproveMesh(mparam);
|
|
break;
|
|
case 'c':
|
|
meshopt.CombineImprove();
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
mesh.CalcSurfacesOfNode();
|
|
mesh.Compress();
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
shared_ptr<NetgenGeometry> GeometryRegisterArray :: LoadFromMeshFile (istream & ist) const
|
|
{
|
|
for (int i = 0; i < Size(); i++)
|
|
{
|
|
NetgenGeometry * hgeom = (*this)[i]->LoadFromMeshFile (ist);
|
|
if (hgeom)
|
|
return shared_ptr<NetgenGeometry>(hgeom);
|
|
}
|
|
return nullptr;
|
|
}
|
|
|
|
|
|
|
|
|
|
int NetgenGeometry :: GenerateMesh (shared_ptr<Mesh> & mesh, MeshingParameters & mp)
|
|
{
|
|
multithread.percent = 0;
|
|
|
|
// copy so that we don't change them outside
|
|
MeshingParameters mparam = mp;
|
|
if(restricted_h.Size())
|
|
for(const auto& [pnt, maxh] : restricted_h)
|
|
mparam.meshsize_points.Append({pnt, maxh});
|
|
|
|
if(mparam.perfstepsstart <= MESHCONST_ANALYSE)
|
|
{
|
|
if(!mesh)
|
|
mesh = make_shared<Mesh>();
|
|
mesh->geomtype = GetGeomType();
|
|
Analyse(*mesh, mparam);
|
|
}
|
|
|
|
if(multithread.terminate || mparam.perfstepsend <= MESHCONST_ANALYSE)
|
|
return 0;
|
|
|
|
if(mparam.perfstepsstart <= MESHCONST_MESHEDGES)
|
|
FindEdges(*mesh, mparam);
|
|
|
|
if(multithread.terminate || mparam.perfstepsend <= MESHCONST_MESHEDGES)
|
|
return 0;
|
|
|
|
if (mparam.perfstepsstart <= MESHCONST_MESHSURFACE)
|
|
{
|
|
MeshSurface(*mesh, mparam);
|
|
mesh->CalcSurfacesOfNode();
|
|
}
|
|
|
|
if (multithread.terminate || mparam.perfstepsend <= MESHCONST_MESHSURFACE)
|
|
return 0;
|
|
|
|
if (mparam.perfstepsstart <= MESHCONST_OPTSURFACE)
|
|
OptimizeSurface(*mesh, mparam);
|
|
|
|
if (multithread.terminate || mparam.perfstepsend <= MESHCONST_OPTSURFACE)
|
|
return 0;
|
|
|
|
|
|
if(mparam.perfstepsstart <= MESHCONST_MESHVOLUME)
|
|
{
|
|
multithread.task = "Volume meshing";
|
|
|
|
MESHING3_RESULT res = MeshVolume (mparam, *mesh);
|
|
|
|
if (res != MESHING3_OK) return 1;
|
|
if (multithread.terminate) return 0;
|
|
|
|
RemoveIllegalElements (*mesh);
|
|
if (multithread.terminate) return 0;
|
|
|
|
MeshQuality3d (*mesh);
|
|
}
|
|
|
|
if (multithread.terminate || mparam.perfstepsend <= MESHCONST_MESHVOLUME)
|
|
return 0;
|
|
|
|
|
|
if (mparam.perfstepsstart <= MESHCONST_OPTVOLUME)
|
|
{
|
|
multithread.task = "Volume optimization";
|
|
|
|
OptimizeVolume (mparam, *mesh);
|
|
if (multithread.terminate) return 0;
|
|
}
|
|
FinalizeMesh(*mesh);
|
|
return 0;
|
|
}
|
|
|
|
void NetgenGeometry :: Save (string filename) const
|
|
{
|
|
throw NgException("Cannot save geometry - no geometry available");
|
|
}
|
|
|
|
static RegisterClassForArchive<NetgenGeometry> regnggeo;
|
|
}
|