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better growth vector computation for non orthogonal faces
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@ -669,15 +669,82 @@ namespace netgen
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// combine normal vectors for each face to keep uniform distances
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auto & np = growthvectors[pi];
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for(auto & [facei, n] : normals)
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{
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if(np.Length() == 0) { np = n; continue; }
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ArrayMem<Vec<3>, 3> ns;
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for (auto &[facei, n] : normals) {
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ns.Append(n);
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}
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ArrayMem<Vec<3>, 3> removed;
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// reduce to full rank of max 3
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while(true)
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{
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if(ns.Size() <= 1)
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break;
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if(ns.Size() == 2 && ns[0] * ns[1] < 1 - 1e-6)
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break;
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if (ns.Size() == 3)
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{
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DenseMatrix mat(3,3);
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for(auto i : Range(3))
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for(auto j : Range(3))
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mat(i,j) = ns[i][j];
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if(fabs(mat.Det()) > 1e-6)
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break;
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}
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int maxpos1;
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int maxpos2;
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double val = 0;
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for (auto i : Range(ns))
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{
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for (auto j : Range(i + 1, ns.Size()))
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{
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double ip = ns[i] * ns[j];
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if(ip > val)
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{
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val = ip;
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maxpos1 = i;
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maxpos2 = j;
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}
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}
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}
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removed.Append(ns[maxpos1]);
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removed.Append(ns[maxpos2]);
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ns[maxpos1] = 0.5 * (ns[maxpos1] + ns[maxpos2]);
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ns.DeleteElement(maxpos2);
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}
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if(ns.Size() == 0)
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continue;
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if(ns.Size() == 1)
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np = ns[0];
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else if(ns.Size() == 2)
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{
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np = ns[0];
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auto n = ns[1];
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auto npn = np * n;
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auto npnp = np * np;
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auto nn = n * n;
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if(nn-npn*npn/npnp == 0) { np = n; continue; }
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np += (nn - npn)/(nn - npn*npn/npnp) * (n - npn/npnp * np);
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}
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}
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else // ns.Size() == 3
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{
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DenseMatrix mat(3,3);
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for(auto i : Range(3))
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for(auto j : Range(3))
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mat(i, j) = ns[i] * ns[j];
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Vector rhs(3);
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rhs = 1.;
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Vector res(3);
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DenseMatrix inv(3, ns.Size());
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CalcInverse(mat, inv);
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inv.Mult(rhs, res);
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for(auto i : Range(ns))
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np += res[i] * ns[i];
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}
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for(auto& n : removed)
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if(n * np < 0)
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cout << "WARNING: Growth vector at point " << pi << " in opposite direction to face normal!" << endl << "Growthvector = " << np << ", face normal = " << n << endl;
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}
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}
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