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    private:
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    private:
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        iterator begin_;
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        iterator begin_;
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        iterator end_;
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        iterator end_;
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    };
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    };
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    typedef std::vector<std::vector<VertexID>> VertexIDBatches;
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    void for_each_vertex(Manifold& m, function<void(VertexID)> f) { for(auto v : m.vertices()) f(v); }
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    void for_each_vertex(Manifold& m, function<void(VertexID)> f) { for(auto v : m.vertices()) f(v); }
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    void for_each_face(Manifold& m, function<void(FaceID)> f) { for(auto p : m.faces()) f(p); }
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    void for_each_face(Manifold& m, function<void(FaceID)> f) { for(auto p : m.faces()) f(p); }
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            swap(m.positions_attribute_vector(), new_pos);
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            swap(m.positions_attribute_vector(), new_pos);
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        }
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        }
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    }
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    }
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    typedef vector<vector<VertexID>> VertexIDBatches;
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//    template<typename  T>
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//    template<typename  T>
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//    void for_each_vertex_parallel(int no_threads, const VertexIDBatches& batches, const T& f) {
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//    void for_each_vertex_parallel(int no_threads, const VertexIDBatches& batches, const T& f) {
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//        vector<future<void>> f_vec(no_threads);
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//        vector<future<void>> f_vec(no_threads);
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//        for(auto t : range(0, no_threads))
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//        for(auto t : range(0, no_threads))
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    }
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    }
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    void taubin_smooth(Manifold& m, int max_iter)
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    void taubin_smooth(Manifold& m, int max_iter)
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    {
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    {
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        auto new_pos = m.positions_attribute_vector();
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        auto new_pos = m.positions_attribute_vector();
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        for(int iter = 0; iter < 2*max_iter; ++iter) {
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        for(int iter = 0; iter < 2*max_iter; ++iter) {
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            for(VertexID v : m.vertices())
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            for(VertexID v : m.vertices())