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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2020-2021 Daniel Baston * * This is free software; you can redistribute and/or modify it under * the terms of the GNU Lesser General Public Licence as published * by the Free Software Foundation. * See the COPYING file for more information. * **********************************************************************/ #ifndef GEOS_OPERATION_CLUSTER_UNIONFIND #define GEOS_OPERATION_CLUSTER_UNIONFIND #include #include #include #include #include namespace geos { namespace operation { namespace cluster { /** UnionFind provides an implementation of a disjoint set data structure that * is useful in clustering. Elements to be clustered are referred to according * to a numeric index. */ class GEOS_DLL UnionFind { public: /** Create a UnionFind object * * @param n the number of elements to be clustered (fixed size) */ explicit UnionFind(size_t n) : clusters(n), sizes(n), num_clusters(n) { std::iota(clusters.begin(), clusters.end(), 0); std::fill(sizes.begin(), sizes.end(), 1); } // Are two elements in the same cluster? bool same(size_t i, size_t j) { return i == j || (find(i) == find(j)); } // Are two elements in a different cluster? bool different(size_t i, size_t j) { return !same(i, j); } /** * Return the ID of the cluster associated with an item * @param i index of the item to lookup * @return a numeric cluster ID */ size_t find(size_t i) { size_t root = i; while(clusters[root] != root) { root = clusters[root]; } while (i != root) { size_t next = clusters[i]; clusters[i] = root; i = next; } return i; } /** * Merge the clusters associated with two items * @param i ID of an item associated with the first cluster * @param j ID of an item associated with the second cluster */ void join(size_t i, size_t j) { auto a = find(i); auto b = find(j); if (a == b) { return; } if ((sizes[b] > sizes[a]) || (sizes[a] == sizes[b] && b <= a)) { std::swap(a, b); } clusters[a] = clusters[b]; sizes[b] += sizes[a]; sizes[a] = 0; num_clusters--; } size_t getNumClusters() const { return num_clusters; } template void sortByCluster(T begin, T end) { std::sort(begin, end, [this](size_t a, size_t b) { return find(a) < find(b); }); } /** * Return the clusters associated with all elements * @return an object that allows iteration over the elements of each cluster */ Clusters getClusters(); /** * Return the clusters associated with the given elements * @param elems a vector of element ids * @return an object that allows iteration over the elements of each cluster */ Clusters getClusters(std::vector elems); private: std::vector clusters; std::vector sizes; size_t num_clusters; }; } } } #endif