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+package de.lmu.ifi.dbs.elki.index.tree.metrical.mtreevariants.strategies.split;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2013
+ Ludwig-Maximilians-Universität München
+ Lehr- und Forschungseinheit für Datenbanksysteme
+ ELKI Development Team
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Affero General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Affero General Public License for more details.
+
+ You should have received a copy of the GNU Affero General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+import de.lmu.ifi.dbs.elki.distance.distancevalue.NumberDistance;
+import de.lmu.ifi.dbs.elki.index.tree.metrical.mtreevariants.AbstractMTree;
+import de.lmu.ifi.dbs.elki.index.tree.metrical.mtreevariants.AbstractMTreeNode;
+import de.lmu.ifi.dbs.elki.index.tree.metrical.mtreevariants.MTreeEntry;
+import de.lmu.ifi.dbs.elki.utilities.documentation.Reference;
+
+/**
+ * Encapsulates the required methods for a split of a node in an M-Tree. The
+ * routing objects are chosen according to the M_rad strategy.
+ *
+ * Reference:
+ * <p>
+ * P. Ciaccia, M. Patella, P. Zezula<br />
+ * M-tree: An Efficient Access Method for Similarity Search in Metric Spaces<br />
+ * In Proceedings of 23rd International Conference on Very Large Data Bases
+ * (VLDB'97), August 25-29, 1997, Athens, Greece
+ * </p>
+ *
+ * @author Elke Achtert
+ *
+ * @param <O> the type of DatabaseObject to be stored in the M-Tree
+ * @param <D> the type of Distance used in the M-Tree
+ * @param <N> the type of AbstractMTreeNode used in the M-Tree
+ * @param <E> the type of MetricalEntry used in the M-Tree
+ */
+@Reference(authors = "P. Ciaccia, M. Patella, P. Zezula", title = "M-tree: An Efficient Access Method for Similarity Search in Metric Spaces", booktitle = "VLDB'97, Proceedings of 23rd International Conference on Very Large Data Bases, August 25-29, 1997, Athens, Greece", url = "http://www.vldb.org/conf/1997/P426.PDF")
+public class MRadSplit<O, D extends NumberDistance<D, ?>, N extends AbstractMTreeNode<O, D, N, E>, E extends MTreeEntry> extends MTreeSplit<O, D, N, E> {
+ /**
+ * Creates a new split object.
+ */
+ public MRadSplit() {
+ super();
+ }
+
+ /**
+ * Selects two objects of the specified node to be promoted and stored into
+ * the parent node. The m-RAD strategy considers all possible pairs of objects
+ * and, after partitioning the set of entries, promotes the pair of objects
+ * for which the sum of covering radiuses is minimum.
+ *
+ * @param tree Tree to use
+ * @param node the node to be split
+ */
+ @Override
+ public Assignments<E> split(AbstractMTree<O, D, N, E, ?> tree, N node) {
+ double miSumCR = Double.POSITIVE_INFINITY;
+ double[] distanceMatrix = computeDistanceMatrix(tree, node);
+
+ Assignments<E> bestAssignment = null;
+ for (int i = 0; i < node.getNumEntries(); i++) {
+ for (int j = i + 1; j < node.getNumEntries(); j++) {
+ Assignments<E> currentAssignments = balancedPartition(tree, node, i, j, distanceMatrix);
+
+ double sumCR = currentAssignments.getFirstCoveringRadius() + currentAssignments.getSecondCoveringRadius();
+ if (sumCR < miSumCR) {
+ miSumCR = sumCR;
+ bestAssignment = currentAssignments;
+ }
+ }
+ }
+ return bestAssignment;
+ }
+}