mirror of
https://github.com/NGSolve/netgen.git
synced 2024-12-31 00:00:33 +05:00
1312 lines
42 KiB
C++
1312 lines
42 KiB
C++
#include <set>
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#include <mystdlib.h>
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#include "meshing.hpp"
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#include <core/register_archive.hpp>
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namespace netgen
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{
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struct PointTree
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{
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BoxTree<3> tree;
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PointTree( Box<3> bb ) : tree(bb) {}
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void Insert(Point<3> p, PointIndex n)
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{
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tree.Insert(p, p, n);
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}
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PointIndex Find(Point<3> p) const
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{
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ArrayMem<int, 1> points;
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tree.GetIntersecting(p, p, points);
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if(points.Size()==0)
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throw Exception("cannot find mapped point " + ToString(p));
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return points[0];
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}
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double GetTolerance() { return tree.GetTolerance(); }
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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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bool GeometryShape :: IsMappedShape( const GeometryShape & other_, const Transformation<3> & trafo, double tol ) const
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{
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throw Exception("GeometryShape::IsMappedShape not implemented for class " + Demangle(typeid(this).name()));
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}
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bool GeometryVertex :: IsMappedShape( const GeometryShape & other_, const Transformation<3> & trafo, double tol ) const
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{
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const auto other_ptr = dynamic_cast<const GeometryVertex*>(&other_);
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if(!other_ptr)
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return false;
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return Dist(trafo(GetPoint()), other_ptr->GetPoint()) < tol;
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}
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bool GeometryEdge :: IsMappedShape( const GeometryShape & other_, const Transformation<3> & trafo, double tol ) const
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{
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const auto other_ptr = dynamic_cast<const GeometryEdge*>(&other_);
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if(!other_ptr)
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return false;
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auto & e = *other_ptr;
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if (IsDegenerated(tol) || e.IsDegenerated(tol))
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return false;
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if(tol < Dist(trafo(GetCenter()), e.GetCenter()))
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return false;
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auto v0 = trafo(GetStartVertex().GetPoint());
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auto v1 = trafo(GetEndVertex().GetPoint());
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auto w0 = e.GetStartVertex().GetPoint();
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auto w1 = e.GetEndVertex().GetPoint();
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// have two closed edges, use midpoints to compare
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if(Dist(v0,v1) < tol && Dist(w0,w1) < tol)
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{
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v1 = trafo(GetPoint(0.5));
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w1 = other_ptr->GetPoint(0.5);
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}
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return( (Dist(v0, w0) < tol && Dist(v1, w1) < tol) ||
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(Dist(v0, w1) < tol && Dist(v1, w0) < tol) );
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}
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bool GeometryFace :: IsMappedShape( const GeometryShape & other_, const Transformation<3> & trafo, double tol ) const
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{
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const auto other_ptr = dynamic_cast<const GeometryFace*>(&other_);
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if(!other_ptr)
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return false;
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auto & f = *other_ptr;
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if(tol < Dist(GetCenter(), f.GetCenter()))
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return false;
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// simple check: check if there is a bijective mapping of mapped edges
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auto & other_edges = f.edges;
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if(edges.Size() != other_edges.Size())
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return false;
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auto nedges = edges.Size();
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Array<bool> is_mapped(nedges);
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is_mapped = false;
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for(auto e : edges)
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{
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int found_mapping = 0;
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for(auto other_e : other_edges)
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if(e->IsMappedShape(*other_e, trafo, tol))
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found_mapping++;
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if(found_mapping != 1)
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return false;
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}
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return true;
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}
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bool GeometryFace :: IsConnectingCloseSurfaces() const
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{
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std::map<const GeometryShape*, bool> verts;
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for(const auto& edge : edges)
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{
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verts[&edge->GetStartVertex()] = false;
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verts[&edge->GetEndVertex()] = false;
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}
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for(const auto& [v, is_mapped] : verts)
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{
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if(is_mapped)
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continue;
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for(const auto& v_ident : v->identifications)
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{
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const auto& other = v_ident.to == v ? v_ident.from : v_ident.to;
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if(v_ident.type == Identifications::CLOSESURFACES &&
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verts.count(other))
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{
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verts[v] = true;
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verts[other] = true;
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}
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}
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}
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for(auto& [v, is_mapped] : verts)
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if(!is_mapped)
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return false;
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return true;
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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 :: Clear()
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{
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vertices.SetSize0();
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edges.SetSize0();
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faces.SetSize0();
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solids.SetSize0();
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}
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void NetgenGeometry :: ProcessIdentifications()
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{
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for(auto i : Range(vertices))
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vertices[i]->nr = i;
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for(auto i : Range(edges))
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edges[i]->nr = i;
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for(auto i : Range(faces))
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faces[i]->nr = i;
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for(auto i : Range(solids))
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solids[i]->nr = i;
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auto mirror_identifications = [&] ( auto & shapes )
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{
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for(auto i : Range(shapes))
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{
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auto &s = shapes[i];
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s->nr = i;
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for(auto & ident : s->identifications)
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if(s.get() == ident.from && s.get() != ident.to)
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ident.to->identifications.Append(ident);
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}
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};
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auto tol = 1e-8 * bounding_box.Diam();
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for(auto & f : faces)
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for(auto & ident: f->identifications)
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for(auto e : static_cast<GeometryFace*>(ident.from)->edges)
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for(auto e_other : static_cast<GeometryFace*>(ident.to)->edges)
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if(e->IsMappedShape(*e_other, ident.trafo, tol))
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e->identifications.Append( {e, e_other, ident.trafo, ident.type, ident.name} );
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for(auto & e : edges)
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for(auto & ident: e->identifications)
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{
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auto & from = static_cast<GeometryEdge&>(*ident.from);
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auto & to = static_cast<GeometryEdge&>(*ident.to);
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GeometryVertex * pfrom[] = { &from.GetStartVertex(), &from.GetEndVertex() };
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GeometryVertex * pto[] = { &to.GetStartVertex(), &to.GetEndVertex() };
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// swap points of other edge if necessary
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Point<3> p_from0 = ident.trafo(from.GetStartVertex().GetPoint());
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Point<3> p_from1 = ident.trafo(from.GetEndVertex().GetPoint());
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Point<3> p_to0 = to.GetStartVertex().GetPoint();
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if(Dist(p_from1, p_to0) < Dist(p_from0, p_to0))
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swap(pto[0], pto[1]);
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for(auto i : Range(2))
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pfrom[i]->identifications.Append( {pfrom[i], pto[i], ident.trafo, ident.type, ident.name} );
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}
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mirror_identifications(vertices);
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mirror_identifications(edges);
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mirror_identifications(faces);
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auto find_primary = [&] (auto & shapes)
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{
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for(auto &s : shapes)
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{
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s->primary = s.get();
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s->primary_to_me = Transformation<3>{ Vec<3> {0,0,0} }; // init with identity
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}
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bool changed = true;
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while(changed) {
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changed = false;
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for(auto &s : shapes)
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{
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for(auto & ident : s->identifications)
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{
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bool need_inverse = ident.from == s.get();
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auto other = need_inverse ? ident.to : ident.from;
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if(other->primary->nr < s->primary->nr)
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{
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auto trafo = ident.trafo;
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if(need_inverse)
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trafo = trafo.CalcInverse();
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s->primary = other->primary;
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s->primary_to_me.Combine(trafo, other->primary_to_me);
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changed = true;
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}
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}
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}
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}
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};
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find_primary(vertices);
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find_primary(edges);
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find_primary(faces);
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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 GeometryEdge :: Divide(const MeshingParameters & mparam, const Mesh & mesh, Array<Point<3>> & points, Array<double> & params)
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{
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static Timer tdivedgesections("Divide edge sections");
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static Timer tdivide("Divide Edges");
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RegionTimer rt(tdivide);
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// -------------------- DivideEdge -----------------
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if(properties.partition)
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{
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points.SetSize(properties.partition->Size());
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params.SetSize(properties.partition->Size()+2);
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params[0] = 0.0;
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params.Last() = 1.0;
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for(auto i : Range(properties.partition->Size()))
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{
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params[i+1] = (*properties.partition)[i];
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points[i] = GetPoint(params[i+1]);
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}
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return;
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}
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tdivedgesections.Start();
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auto layer = properties.layer;
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double safety = 0.5*(1.-mparam.grading);
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double lam = 0.0;
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Point<3> p = GetPoint(0.0);
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auto old_p = p;
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Array<double> hvalue, fine_params;
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hvalue.Append(.0);
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|
|
while (lam<1. && hvalue.Size() < 20000) {
|
|
fine_params.Append(lam);
|
|
auto h = mesh.GetH(old_p, layer);
|
|
auto step = safety * h/GetTangent(lam).Length();
|
|
lam += step;
|
|
lam = min2(lam, 1.0);
|
|
p = GetPoint(lam);
|
|
hvalue.Append((hvalue.Size()==0 ? 0.0 : hvalue.Last()) + 1./h * (p-old_p).Length());
|
|
old_p = p;
|
|
}
|
|
|
|
fine_params.Append(1.0);
|
|
|
|
if(hvalue.Size()==20000 && lam<1.0)
|
|
cout << "Warning: Could not divide Edge" << endl;
|
|
|
|
tdivedgesections.Stop();
|
|
|
|
// auto n = hvalue.Size()-1;
|
|
int nsubedges = max2(1, int(floor(hvalue.Last()+0.5)));
|
|
points.SetSize(nsubedges-1);
|
|
params.SetSize(nsubedges+1);
|
|
|
|
int i1 = 0;
|
|
for(auto i : Range(1,nsubedges))
|
|
{
|
|
auto h_target = i*hvalue.Last()/nsubedges;
|
|
while(hvalue[i1]<h_target && i1<hvalue.Size())
|
|
i1++;
|
|
|
|
if(i1==hvalue.Size())
|
|
{
|
|
points.SetSize(i-1);
|
|
params.SetSize(i+1);
|
|
cout << "divide edge: local h too small" << endl;
|
|
break;
|
|
}
|
|
|
|
// interpolate lam between points
|
|
auto lam0 = fine_params[i1-1];
|
|
auto lam1 = fine_params[i1];
|
|
auto h0 = hvalue[i1-1];
|
|
auto h1 = hvalue[i1];
|
|
|
|
auto fac = (h_target-h0)/(h1-h0);
|
|
auto lam = lam0 + fac*(lam1-lam0);
|
|
params[i] = lam;
|
|
points[i-1] = MeshPoint(GetPoint(params[i]));
|
|
}
|
|
|
|
params[0] = 0.;
|
|
params[nsubedges] = 1.;
|
|
|
|
if(params[nsubedges] <= params[nsubedges-1])
|
|
{
|
|
cout << "CORRECTED" << endl;
|
|
points.SetSize (nsubedges-2);
|
|
params.SetSize (nsubedges);
|
|
params[nsubedges-1] = 1.;
|
|
}
|
|
}
|
|
|
|
void NetgenGeometry :: FindEdges(Mesh& mesh,
|
|
const MeshingParameters& mparam) const
|
|
{
|
|
static Timer t1("MeshEdges"); RegionTimer regt(t1);
|
|
const char* savetask = multithread.task;
|
|
multithread.task = "Mesh Edges";
|
|
|
|
PointTree tree( bounding_box );
|
|
|
|
auto & identifications = mesh.GetIdentifications();
|
|
|
|
Array<PointIndex> vert2meshpt(vertices.Size());
|
|
vert2meshpt = PointIndex::INVALID;
|
|
for(auto & vert : vertices)
|
|
{
|
|
auto pi = mesh.AddPoint(vert->GetPoint(), vert->properties.layer);
|
|
tree.Insert(mesh[pi], pi);
|
|
vert2meshpt[vert->nr] = pi;
|
|
mesh[pi].Singularity(vert->properties.hpref);
|
|
mesh[pi].SetType(FIXEDPOINT);
|
|
|
|
Element0d el(pi, pi);
|
|
el.name = vert->properties.GetName();
|
|
mesh.SetCD3Name(pi, el.name);
|
|
mesh.pointelements.Append (el);
|
|
}
|
|
|
|
for(auto & vert : vertices)
|
|
for(auto & ident : vert->identifications)
|
|
identifications.Add(vert2meshpt[ident.from->nr],
|
|
vert2meshpt[ident.to->nr],
|
|
ident.name,
|
|
ident.type);
|
|
|
|
// size_t segnr = 0;
|
|
auto nedges = edges.Size();
|
|
Array<Array<PointIndex>> all_pnums(nedges);
|
|
Array<Array<double>> all_params(nedges);
|
|
|
|
for (auto edgenr : Range(edges))
|
|
{
|
|
auto edge = edges[edgenr].get();
|
|
PointIndex startp, endp;
|
|
// throws if points are not found
|
|
startp = vert2meshpt[edge->GetStartVertex().nr];
|
|
endp = vert2meshpt[edge->GetEndVertex().nr];
|
|
|
|
// ignore collapsed edges
|
|
if(startp == endp && edge->GetLength() < 1e-10 * bounding_box.Diam())
|
|
continue;
|
|
|
|
// ----------- Add Points to mesh and create segments -----
|
|
auto & pnums = all_pnums[edgenr];
|
|
auto & params = all_params[edgenr];
|
|
Array<Point<3>> edge_points;
|
|
Array<double> edge_params;
|
|
|
|
if(edge->primary == edge)
|
|
{
|
|
// check if start and end vertex are identified (if so, we only insert one segment and do z-refinement later)
|
|
bool is_identified_edge = false;
|
|
auto v0 = vertices[edge->GetStartVertex().nr].get();
|
|
auto v1 = vertices[edge->GetEndVertex().nr].get();
|
|
for(auto & ident : v0->identifications)
|
|
{
|
|
auto other = ident.from == v0 ? ident.to : ident.from;
|
|
if(other->nr == v1->nr && ident.type == Identifications::CLOSESURFACES)
|
|
{
|
|
is_identified_edge = true;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if(is_identified_edge)
|
|
{
|
|
params.SetSize(2);
|
|
params[0] = 0.;
|
|
params[1] = 1.;
|
|
}
|
|
else
|
|
{
|
|
edge->Divide(mparam, mesh, edge_points, params);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
auto nr_primary = edge->primary->nr;
|
|
auto & pnums_primary = all_pnums[nr_primary];
|
|
// auto & params_primary = all_params[nr_primary];
|
|
auto trafo = edge->primary_to_me;
|
|
|
|
auto np = pnums_primary.Size();
|
|
edge_points.SetSize(np-2);
|
|
edge_params.SetSize(np-2);
|
|
for(auto i : Range(np-2))
|
|
{
|
|
edge_points[i] = trafo(mesh[pnums_primary[i+1]]);
|
|
EdgePointGeomInfo gi;
|
|
edge->ProjectPoint(edge_points[i], &gi);
|
|
edge_params[i] = gi.dist;
|
|
}
|
|
|
|
params.SetSize(edge_params.Size()+2);
|
|
|
|
for(auto i : Range(edge_params))
|
|
params[i+1] = edge_params[i];
|
|
|
|
if(edge_params.Size()>1)
|
|
{
|
|
// Just projecting (code below) does not work for closed edges (startp == endp)
|
|
// In this case, there are at least 2 inner points which we use to check edge orientation
|
|
bool reversed = edge_params[1] < edge_params[0];
|
|
if(reversed)
|
|
{
|
|
params[0] = 1.0;
|
|
params.Last() = 0.0;
|
|
}
|
|
else
|
|
{
|
|
params.Last() = 1.0;
|
|
params[0] = 0.0;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
for(size_t i : std::vector{0UL, pnums_primary.Size()-1})
|
|
{
|
|
auto p_mapped = trafo(mesh[pnums_primary[i]]);
|
|
EdgePointGeomInfo gi;
|
|
edge->ProjectPoint(p_mapped, &gi);
|
|
params[i] = gi.dist;
|
|
}
|
|
}
|
|
}
|
|
|
|
pnums.SetSize(edge_points.Size() + 2);
|
|
|
|
bool is_reversed = params.Last() < params[0];
|
|
pnums[0] = is_reversed ? endp : startp;
|
|
pnums.Last() = is_reversed ? startp : endp;
|
|
|
|
|
|
for(auto i : Range(edge_points))
|
|
{
|
|
auto pi = mesh.AddPoint(edge_points[i], edge->properties.layer);
|
|
tree.Insert(mesh[pi], pi);
|
|
pnums[i+1] = pi;
|
|
}
|
|
|
|
for(auto i : Range(pnums.Size()-1))
|
|
{
|
|
// segnr++;
|
|
Segment seg;
|
|
seg[0] = pnums[i];
|
|
seg[1] = pnums[i+1];
|
|
seg.edgenr = edgenr+1;
|
|
seg.si = edgenr+1;
|
|
seg.epgeominfo[0].dist = params[i];
|
|
seg.epgeominfo[1].dist = params[i+1];
|
|
seg.epgeominfo[0].edgenr = edgenr;
|
|
seg.epgeominfo[1].edgenr = edgenr;
|
|
seg.singedge_left = edge->properties.hpref;
|
|
seg.singedge_right = edge->properties.hpref;
|
|
seg.domin = edge->domin+1;
|
|
seg.domout = edge->domout+1;
|
|
mesh.AddSegment(seg);
|
|
}
|
|
mesh.SetCD2Name(edgenr+1, edge->properties.GetName());
|
|
}
|
|
|
|
for (auto & edge : edges)
|
|
{
|
|
// identify points on edge
|
|
for(auto & ident : edge->identifications)
|
|
if(ident.from == edge.get())
|
|
{
|
|
auto & pnums = all_pnums[edge->nr];
|
|
// start and end vertex are already identified
|
|
for(auto pi : pnums.Range(1, pnums.Size()-1))
|
|
{
|
|
auto pi_other = tree.Find(ident.trafo(mesh[pi]));
|
|
identifications.Add(pi, pi_other, ident.name, ident.type);
|
|
}
|
|
}
|
|
}
|
|
mesh.CalcSurfacesOfNode();
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
bool NetgenGeometry :: MeshFace(Mesh& mesh, const MeshingParameters& mparam,
|
|
int k, FlatArray<int, PointIndex> glob2loc) const
|
|
{
|
|
multithread.percent = 100. * k/faces.Size();
|
|
const auto& face = *faces[k];
|
|
auto bb = face.GetBoundingBox();
|
|
bb.Increase(bb.Diam()/10);
|
|
Meshing2 meshing(*this, mparam, bb);
|
|
glob2loc = 0;
|
|
int cntp = 0;
|
|
|
|
auto segments = face.GetBoundary(mesh);
|
|
for(auto& seg : segments)
|
|
{
|
|
for(auto j : Range(2))
|
|
{
|
|
auto pi = seg[j];
|
|
if(glob2loc[pi] == 0)
|
|
{
|
|
meshing.AddPoint(mesh[pi], pi);
|
|
cntp++;
|
|
glob2loc[pi] = cntp;
|
|
}
|
|
}
|
|
}
|
|
for(const auto& vert : GetFaceVertices(face))
|
|
{
|
|
PointIndex pi = vert->nr + 1;
|
|
if(glob2loc[pi] == 0)
|
|
{
|
|
auto gi = face.Project(mesh[pi]);
|
|
MultiPointGeomInfo mgi;
|
|
mgi.AddPointGeomInfo(gi);
|
|
meshing.AddPoint(mesh[pi], pi, &mgi);
|
|
cntp++;
|
|
glob2loc[pi] = cntp;
|
|
}
|
|
}
|
|
for(auto & seg : segments)
|
|
{
|
|
PointGeomInfo gi0, gi1;
|
|
gi0.trignum = gi1.trignum = k+1;
|
|
gi0.u = seg.epgeominfo[0].u;
|
|
gi0.v = seg.epgeominfo[0].v;
|
|
gi1.u = seg.epgeominfo[1].u;
|
|
gi1.v = seg.epgeominfo[1].v;
|
|
meshing.AddBoundaryElement(glob2loc[seg[0]],
|
|
glob2loc[seg[1]],
|
|
gi0, gi1);
|
|
}
|
|
|
|
// TODO Set max area 2* area of face
|
|
|
|
auto noldsurfels = mesh.GetNSE();
|
|
|
|
|
|
static Timer t("GenerateMesh"); RegionTimer reg(t);
|
|
MESHING2_RESULT res = meshing.GenerateMesh(mesh, mparam, mparam.maxh, k+1, face.properties.layer);
|
|
|
|
for(auto i : Range(noldsurfels, mesh.GetNSE()))
|
|
{
|
|
mesh.SurfaceElements()[i].SetIndex(k+1);
|
|
}
|
|
return res != MESHING2_OK;
|
|
}
|
|
|
|
void NetgenGeometry :: MeshSurface(Mesh& mesh,
|
|
const MeshingParameters& mparam) const
|
|
{
|
|
static Timer t1("Surface Meshing"); RegionTimer regt(t1);
|
|
const char* savetask = multithread.task;
|
|
multithread.task = "Mesh Surface";
|
|
mesh.ClearFaceDescriptors();
|
|
|
|
size_t n_failed_faces = 0;
|
|
Array<int, PointIndex> glob2loc(mesh.GetNP());
|
|
for(auto k : Range(faces))
|
|
{
|
|
auto & face = *faces[k];
|
|
FaceDescriptor fd(k+1, face.domin+1, face.domout+1, k+1);
|
|
if(face.properties.col)
|
|
fd.SetSurfColour(*face.properties.col);
|
|
mesh.AddFaceDescriptor(fd);
|
|
mesh.SetBCName(k, face.properties.GetName());
|
|
if(face.primary == &face)
|
|
{
|
|
// check if this face connects two identified closesurfaces
|
|
// auto & idents = mesh.GetIdentifications();
|
|
std::set<int> relevant_edges;
|
|
auto segments = face.GetBoundary(mesh);
|
|
for(const auto &s : segments)
|
|
relevant_edges.insert(s.edgenr-1);
|
|
|
|
Array<bool, PointIndex> is_point_in_tree(mesh.Points().Size());
|
|
is_point_in_tree = false;
|
|
PointTree tree( bounding_box );
|
|
for(const auto &s : segments)
|
|
for(auto pi : s.PNums())
|
|
if(!is_point_in_tree[pi])
|
|
{
|
|
tree.Insert(mesh[pi], pi);
|
|
is_point_in_tree[pi] = true;
|
|
}
|
|
|
|
Array<int> mapped_edges(edges.Size());
|
|
constexpr int UNINITIALIZED = -2;
|
|
constexpr int NOT_MAPPED = -1;
|
|
mapped_edges = UNINITIALIZED;
|
|
|
|
Transformation<3> trafo;
|
|
|
|
if(face.IsConnectingCloseSurfaces())
|
|
{
|
|
Array<ArrayMem<int, 2>, PointIndex> p2seg(mesh.Points().Size());
|
|
for(int si : Range(segments))
|
|
{
|
|
const auto & s = segments[si];
|
|
p2seg[s[0]].Append(si);
|
|
p2seg[s[1]].Append(si);
|
|
}
|
|
for(const auto & s : segments)
|
|
{
|
|
auto edgenr = s.edgenr-1;
|
|
auto & edge = *edges[edgenr];
|
|
// ShapeIdentification *edge_mapping;
|
|
|
|
// have edgenr first time, search for closesurface identification
|
|
|
|
if(mapped_edges[edgenr] == UNINITIALIZED)
|
|
{
|
|
mapped_edges[edgenr] = NOT_MAPPED;
|
|
for(auto & edge_ident : edge.identifications)
|
|
{
|
|
if(edge_ident.type == Identifications::CLOSESURFACES &&
|
|
edge_ident.from->nr == edgenr &&
|
|
relevant_edges.count(edge_ident.to->nr) > 0
|
|
)
|
|
{
|
|
trafo = edge_ident.trafo;
|
|
mapped_edges[edgenr] = edge_ident.to->nr;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
// this edge has a closesurface mapping to another -> make connecting quad
|
|
if(mapped_edges[edgenr] != NOT_MAPPED)
|
|
{
|
|
Element2d sel(4);
|
|
sel[0] = s[0];
|
|
sel[1] = s[1];
|
|
sel[2] = tree.Find(trafo(mesh[s[1]]));
|
|
sel[3] = tree.Find(trafo(mesh[s[0]]));
|
|
auto gis = sel.GeomInfo();
|
|
for(auto i : Range(2))
|
|
{
|
|
gis[i].u = s.epgeominfo[i].u;
|
|
gis[i].v = s.epgeominfo[i].v;
|
|
}
|
|
|
|
// find mapped segment to set PointGeomInfo correctly
|
|
Segment s_other;
|
|
for(auto si_other : p2seg[sel[2]])
|
|
{
|
|
s_other = segments[si_other];
|
|
if(s_other[0] == sel[2] && s_other[1] == sel[3])
|
|
break;
|
|
if(s_other[0] == sel[3] && s_other[1] == sel[2])
|
|
break;
|
|
}
|
|
for(auto i : Range(2))
|
|
{
|
|
auto i_other = sel[i+2] == s_other[i] ? i : 1-i;
|
|
gis[i+2].u = s_other.epgeominfo[i_other].u;
|
|
gis[i+2].v = s_other.epgeominfo[i_other].v;
|
|
}
|
|
|
|
sel.SetIndex(face.nr+1);
|
|
mesh.AddSurfaceElement(sel);
|
|
}
|
|
}
|
|
}
|
|
else
|
|
if(MeshFace(mesh, mparam, k, glob2loc))
|
|
n_failed_faces++;
|
|
}
|
|
}
|
|
|
|
if(n_failed_faces)
|
|
{
|
|
cout << "WARNING! NOT ALL FACES HAVE BEEN MESHED" << endl;
|
|
cout << "SURFACE MESHING ERROR OCCURRED IN " << n_failed_faces << " FACES:" << endl;
|
|
return;
|
|
}
|
|
|
|
if (mparam.perfstepsend >= MESHCONST_OPTSURFACE)
|
|
{
|
|
mesh.CalcSurfacesOfNode();
|
|
OptimizeSurface(mesh, mparam);
|
|
}
|
|
|
|
bool have_identifications = false;
|
|
std::map<tuple<PointIndex, int>, PointIndex> mapto;
|
|
for(auto & face : faces)
|
|
if(face->primary != face.get())
|
|
{
|
|
have_identifications = true;
|
|
MapSurfaceMesh(mesh, *face, mapto);
|
|
}
|
|
|
|
// identify points on faces
|
|
if(have_identifications)
|
|
{
|
|
mesh.CalcSurfacesOfNode();
|
|
BitArray is_identified_face(faces.Size());
|
|
is_identified_face = false;
|
|
for(auto & face : faces)
|
|
for(auto & ident : face->identifications)
|
|
{
|
|
is_identified_face.SetBit(ident.from->nr);
|
|
is_identified_face.SetBit(ident.to->nr);
|
|
}
|
|
|
|
PointTree tree( bounding_box );
|
|
Array<int, PointIndex> pi_to_face(mesh.GetNP());
|
|
pi_to_face = -1;
|
|
Array<SurfaceElementIndex> si_of_face;
|
|
Array<Array<PointIndex>> pi_of_face(faces.Size());
|
|
for(auto & face : faces)
|
|
if(is_identified_face[face->nr])
|
|
{
|
|
mesh.GetSurfaceElementsOfFace(face->nr+1, si_of_face);
|
|
for(auto si : si_of_face)
|
|
for(auto pi : mesh[si].PNums())
|
|
{
|
|
if(mesh[pi].Type() == SURFACEPOINT && pi_to_face[pi]==-1)
|
|
{
|
|
pi_to_face[pi] = face->nr;
|
|
tree.Insert(mesh[pi], pi);
|
|
pi_of_face[face->nr].Append(pi);
|
|
}
|
|
}
|
|
}
|
|
|
|
auto & mesh_ident = mesh.GetIdentifications();
|
|
for(auto & face : faces)
|
|
for(auto & ident : face->identifications)
|
|
{
|
|
if(ident.from == face.get())
|
|
for(auto pi : pi_of_face[face->nr])
|
|
{
|
|
auto pi_primary = ident.from->primary->nr == ident.from->nr ? pi : mapto[{pi, ident.to->primary->nr}];
|
|
auto pi_other = ident.to->primary->nr == ident.to->nr ? pi_primary : mapto[{pi_primary, ident.to->nr}];
|
|
mesh_ident.Add(pi, pi_other, ident.name, ident.type);
|
|
}
|
|
}
|
|
}
|
|
|
|
mesh.CalcSurfacesOfNode();
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
void NetgenGeometry :: MapSurfaceMesh( Mesh & mesh, const GeometryFace & dst, std::map<tuple<PointIndex, int>, PointIndex> & mapto ) const
|
|
{
|
|
static Timer timer("MapSurfaceMesh");
|
|
RegionTimer rt(timer);
|
|
|
|
const auto & src = dynamic_cast<const GeometryFace&>(*dst.primary);
|
|
auto trafo = dst.primary_to_me;
|
|
|
|
PrintMessage(2, "Map face ", src.nr+1, " -> ", dst.nr+1);
|
|
|
|
// point map from src to dst
|
|
auto np = mesh.Points().Size();
|
|
Array<PointIndex, PointIndex> pmap(np);
|
|
pmap = PointIndex::INVALID;
|
|
BitArray is_double_edge_point(np);
|
|
is_double_edge_point.Clear();
|
|
|
|
// first map points on edges (mapped points already in mesh, use search tree)
|
|
Array<bool, PointIndex> is_point_in_tree(mesh.Points().Size());
|
|
is_point_in_tree = false;
|
|
PointTree tree( bounding_box );
|
|
for (Segment & seg : src.GetBoundary(mesh))
|
|
for(auto i : Range(2))
|
|
{
|
|
auto pi = seg[i];
|
|
if(!is_point_in_tree[pi])
|
|
{
|
|
tree.Insert(trafo(mesh[pi]), pi);
|
|
is_point_in_tree[pi] = true;
|
|
}
|
|
}
|
|
|
|
Array<ArrayMem<tuple<double,double>, 2>, PointIndex> uv_values(np);
|
|
for (Segment & seg : dst.GetBoundary(mesh))
|
|
{
|
|
for(auto i : Range(2))
|
|
{
|
|
auto pi = seg[i];
|
|
if(!pmap[pi].IsValid())
|
|
pmap[tree.Find(mesh[pi])] = pi;
|
|
|
|
// store uv values (might be different values for same point in case of internal edges)
|
|
double u = seg.epgeominfo[i].u;
|
|
double v = seg.epgeominfo[i].v;
|
|
auto & vals = uv_values[pi];
|
|
bool found = false;
|
|
for(const auto & [u1,v1] : vals)
|
|
if((u-u1)*(u-u1)+(v-v1)*(v-v1) < 1e-7)
|
|
found = true;
|
|
if(!found)
|
|
vals.Append({u,v});
|
|
}
|
|
}
|
|
|
|
xbool do_invert = maybe;
|
|
|
|
// now insert mapped surface elements
|
|
for(auto sei : mesh.SurfaceElements().Range())
|
|
{
|
|
auto sel = mesh[sei];
|
|
if(sel.GetIndex() != src.nr+1)
|
|
continue;
|
|
|
|
if(do_invert.IsMaybe())
|
|
{
|
|
auto n_src = src.GetNormal(mesh[sel[0]]);
|
|
auto n_dist = dst.GetNormal(trafo(mesh[sel[0]]));
|
|
Mat<3> normal_matrix;
|
|
CalcInverse(Trans(trafo.GetMatrix()), normal_matrix);
|
|
do_invert = (normal_matrix * n_src) * n_dist < 0.0;
|
|
}
|
|
auto sel_new = sel;
|
|
sel_new.SetIndex(dst.nr+1);
|
|
for(auto i : Range(sel.PNums()))
|
|
{
|
|
auto pi = sel[i];
|
|
if(!pmap[pi].IsValid())
|
|
{
|
|
pmap[pi] = mesh.AddPoint(trafo(mesh[pi]), 1, SURFACEPOINT);
|
|
}
|
|
sel_new[i] = pmap[pi];
|
|
mapto[{pi, dst.nr}] = pmap[pi];
|
|
mapto[{pmap[pi], src.nr}] = pi;
|
|
}
|
|
if(do_invert.IsTrue())
|
|
sel_new.Invert();
|
|
|
|
for(auto i : Range(sel.PNums()))
|
|
{
|
|
auto pi = sel_new[i];
|
|
if(uv_values.Range().Next() <= pi)
|
|
{
|
|
// new point (inner surface point)
|
|
PointGeomInfo gi;
|
|
dst.CalcPointGeomInfo(mesh[sel_new[i]], gi);
|
|
sel_new.GeomInfo()[i] = gi;
|
|
continue;
|
|
}
|
|
|
|
const auto & uvs = uv_values[pi];
|
|
if(uvs.Size() == 1)
|
|
{
|
|
// appears only once -> take uv values from edgepointgeominfo
|
|
const auto & [u,v] = uvs[0];
|
|
PointGeomInfo gi;
|
|
gi.u = u;
|
|
gi.v = v;
|
|
sel_new.GeomInfo()[i] = gi;
|
|
}
|
|
else if(uvs.Size() > 1)
|
|
{
|
|
// multiple uv pairs -> project to close point and select closest uv pair
|
|
double eps = 1e-3;
|
|
auto p = Point<3>((1.0-eps)*Vec<3>(mesh[sel_new.PNumMod(i+1)]) +
|
|
eps/2*Vec<3>(mesh[sel_new.PNumMod(i+2)]) +
|
|
eps/2*Vec<3>(mesh[sel_new.PNumMod(i+3)]));
|
|
PointGeomInfo gi_p, gi;
|
|
dst.CalcPointGeomInfo(p, gi_p);
|
|
gi.trignum = gi_p.trignum;
|
|
double min_dist = numeric_limits<double>::max();
|
|
for(const auto & [u,v] : uvs)
|
|
{
|
|
double dist = (gi_p.u-u)*(gi_p.u-u) + (gi_p.v-v)*(gi_p.v-v);
|
|
if(dist < min_dist)
|
|
{
|
|
min_dist = dist;
|
|
gi.u = u;
|
|
gi.v = v;
|
|
}
|
|
}
|
|
sel_new.GeomInfo()[i] = gi;
|
|
}
|
|
else
|
|
throw Exception(string(__FILE__) + ":"+ToString(__LINE__) + " shouldn't come here");
|
|
}
|
|
mesh.AddSurfaceElement(sel_new);
|
|
}
|
|
}
|
|
|
|
void NetgenGeometry :: OptimizeSurface(Mesh& mesh, const MeshingParameters& mparam) const
|
|
{
|
|
const auto savetask = multithread.task;
|
|
multithread.task = "Optimizing surface";
|
|
|
|
static Timer timer_opt2d("Optimization 2D");
|
|
RegionTimer reg(timer_opt2d);
|
|
auto meshopt = MeshOptimize2d(mesh);
|
|
for(auto i : Range(mparam.optsteps2d))
|
|
for(auto k : Range(mesh.GetNFD()))
|
|
{
|
|
PrintMessage(3, "Optimization step ", i);
|
|
meshopt.SetFaceIndex(k+1);
|
|
int innerstep = 0;
|
|
for(auto optstep : mparam.optimize2d)
|
|
{
|
|
multithread.percent = 100. * (double(innerstep++)/mparam.optimize2d.size() + i)/mparam.optsteps2d;
|
|
switch(optstep)
|
|
{
|
|
case 's':
|
|
meshopt.EdgeSwapping(0);
|
|
break;
|
|
case 'S':
|
|
meshopt.EdgeSwapping(1);
|
|
break;
|
|
case 'm':
|
|
meshopt.ImproveMesh(mparam);
|
|
break;
|
|
case 'c':
|
|
meshopt.CombineImprove();
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
mesh.CalcSurfacesOfNode();
|
|
mesh.Compress();
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
void NetgenGeometry :: FinalizeMesh(Mesh& mesh) const
|
|
{
|
|
if(solids.Size())
|
|
for (int i = 0; i < mesh.GetNDomains(); i++)
|
|
if (auto name = solids[i]->properties.name)
|
|
mesh.SetMaterial (i+1, *name);
|
|
|
|
mesh.OrderElements();
|
|
}
|
|
|
|
shared_ptr<NetgenGeometry> GeometryRegisterArray :: LoadFromMeshFile (istream & ist) const
|
|
{
|
|
if (!ist.good())
|
|
return nullptr;
|
|
|
|
string token;
|
|
ist >> token;
|
|
if(token == "TextOutArchive")
|
|
{
|
|
NetgenGeometry *geo = nullptr;
|
|
size_t string_length;
|
|
ist >> string_length;
|
|
string buffer(string_length+1, '\0');
|
|
ist.read(&buffer[0], string_length);
|
|
auto ss = make_shared<stringstream>(buffer);
|
|
TextInArchive in(ss);
|
|
in & geo;
|
|
|
|
return shared_ptr<NetgenGeometry>(geo);
|
|
}
|
|
for (int i = 0; i < Size(); i++)
|
|
{
|
|
NetgenGeometry * hgeom = (*this)[i]->LoadFromMeshFile (ist, token);
|
|
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);
|
|
}
|
|
|
|
if (multithread.terminate || mparam.perfstepsend <= MESHCONST_OPTSURFACE)
|
|
return 0;
|
|
|
|
if(dimension == 2)
|
|
{
|
|
FinalizeMesh(*mesh);
|
|
mesh->SetDimension(2);
|
|
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;
|
|
|
|
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 (const filesystem::path & filename) const
|
|
{
|
|
throw NgException("Cannot save geometry - no geometry available");
|
|
}
|
|
|
|
static RegisterClassForArchive<NetgenGeometry> regnggeo;
|
|
}
|