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Modified smooth
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@ -159,6 +159,91 @@ namespace netgen
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limits.SetSize(np);
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limits.SetSize(np);
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limits = 1.0;
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limits = 1.0;
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// Function to calculate the dot product of two 3D vectors
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// Is there netgen native function for this?
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const auto Dot = [](Vec<3> a, Vec<3> b) {
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return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
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};
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auto parallel_limiter = [&](PointIndex pi1, PointIndex pi2, SurfaceElementIndex si) {
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MeshPoint& a_base = mesh[pi1];
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MeshPoint& b_base = mesh[pi2];
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MeshPoint a_end = mesh[pi1] + height * limits[pi1] * growthvectors[pi1];
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MeshPoint b_end = mesh[pi2] + height * limits[pi2] * growthvectors[pi2];
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double ab_base = (b_base - a_base).Length();
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Vec<3> a_vec = (a_end - a_base);
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Vec<3> b_vec = (b_end - b_base);
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// Calculate parallel projections
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Vec<3> ab_base_norm = (b_base - a_base).Normalize();
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double a_vec_x = Dot(a_vec, ab_base_norm);
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double b_vec_x = Dot(b_vec, -ab_base_norm);
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double ratio_parallel = (a_vec_x + b_vec_x) / ab_base;
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double PARALLEL_RATIO_LIMIT = 0.85;
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if (ratio_parallel > PARALLEL_RATIO_LIMIT) {
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// Adjust limits, vectors, and projections if parallel ratio exceeds the limit
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double corrector = PARALLEL_RATIO_LIMIT / ratio_parallel;
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limits[pi1] *= corrector;
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limits[pi2] *= corrector;
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}
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};
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auto perpendicular_limiter = [&](PointIndex pi1, PointIndex pi2, SurfaceElementIndex si) {
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// this part is same as in parallel limiter, but note that limits contents are already changed
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MeshPoint& a_base = mesh[pi1];
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MeshPoint& b_base = mesh[pi2];
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MeshPoint a_end = mesh[pi1] + height * limits[pi1] * growthvectors[pi1];
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MeshPoint b_end = mesh[pi2] + height * limits[pi2] * growthvectors[pi2];
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double ab_base = (b_base - a_base).Length();
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Vec<3> a_vec = (a_end - a_base);
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Vec<3> b_vec = (b_end - b_base);
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// Calculate parallel projections
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Vec<3> ab_base_norm = (b_base - a_base).Normalize();
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double a_vec_x = Dot(a_vec, ab_base_norm);
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double b_vec_x = Dot(b_vec, -ab_base_norm);
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double ratio_parallel = (a_vec_x + b_vec_x) / ab_base;
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// Calculate surface normal at point si
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Vec<3> surface_normal = getNormal(mesh[si]);
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double a_vec_y = abs(Dot(a_vec, surface_normal));
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double b_vec_y = abs(Dot(b_vec, surface_normal));
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double diff_perpendicular = abs(a_vec_y - b_vec_y);
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double tan_alpha = diff_perpendicular / (ab_base - a_vec_x - b_vec_x);
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double TAN_ALPHA_LIMIT = 0.36397; // Approximately 20 degrees in radians
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if (tan_alpha > TAN_ALPHA_LIMIT) {
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if (a_vec_y > b_vec_y) {
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double correction = (TAN_ALPHA_LIMIT / tan_alpha * diff_perpendicular + b_vec_y) / a_vec_y;
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limits[pi1] *= correction;
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}
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else {
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double correction = (TAN_ALPHA_LIMIT / tan_alpha * diff_perpendicular + a_vec_y) / b_vec_y;
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limits[pi2] *= correction;
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}
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}
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};
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auto neighbour_limiter = [&](PointIndex pi1, PointIndex pi2, SurfaceElementIndex si) {
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parallel_limiter(pi1, pi2, si);
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perpendicular_limiter(pi1, pi2, si);
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};
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auto modifiedsmooth = [&](size_t nsteps) {
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for (auto i : Range(nsteps))
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for (SurfaceElementIndex sei : mesh.SurfaceElements().Range())
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{
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// assuming triangle
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neighbour_limiter(mesh[sei].PNum(1), mesh[sei].PNum(2), sei);
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neighbour_limiter(mesh[sei].PNum(2), mesh[sei].PNum(3), sei);
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neighbour_limiter(mesh[sei].PNum(3), mesh[sei].PNum(1), sei);
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}
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};
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auto smooth = [&] (size_t nsteps) {
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auto smooth = [&] (size_t nsteps) {
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for(auto i : Range(nsteps))
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for(auto i : Range(nsteps))
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for(const auto & sel : mesh.SurfaceElements())
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for(const auto & sel : mesh.SurfaceElements())
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@ -302,7 +387,7 @@ namespace netgen
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}
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}
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self_intersection();
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self_intersection();
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smooth(3);
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modifiedsmooth(3);
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for(auto pi : Range(growthvectors))
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for(auto pi : Range(growthvectors))
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growthvectors[pi] *= limits[pi];
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growthvectors[pi] *= limits[pi];
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