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+package de.lmu.ifi.dbs.elki.index.tree.spatial.rstarvariants.strategies.bulk;
+
+/*
+ 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 java.util.ArrayList;
+import java.util.List;
+
+import de.lmu.ifi.dbs.elki.data.spatial.SpatialComparable;
+import de.lmu.ifi.dbs.elki.data.spatial.SpatialSingleMeanComparator;
+import de.lmu.ifi.dbs.elki.utilities.datastructures.QuickSelect;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+
+/**
+ * This is variation of the {@link SortTileRecursiveBulkSplit}, incorporating
+ * some ideas from {@link MaxExtensionBulkSplit}. Instead of iterating through
+ * the axes in order, it always chooses the axis with the largest extend. This
+ * may rarely lead to the data being split on the same axis twice, but most
+ * importantly it varies the splitting order compared to STR.
+ *
+ * {@link AdaptiveSortTileRecursiveBulkSplit} takes these ideas one step
+ * further, by also varying the fan-out degree.
+ *
+ * @author Erich Schubert
+ */
+public class MaxExtensionSortTileRecursiveBulkSplit extends AbstractBulkSplit {
+ /**
+ * Static instance.
+ */
+ public static final MaxExtensionSortTileRecursiveBulkSplit STATIC = new MaxExtensionSortTileRecursiveBulkSplit();
+
+ @Override
+ public <T extends SpatialComparable> List<List<T>> partition(List<T> spatialObjects, int minEntries, int maxEntries) {
+ final int dims = spatialObjects.get(0).getDimensionality();
+ final int p = (int) Math.ceil(spatialObjects.size() / (double) maxEntries);
+ List<List<T>> ret = new ArrayList<>(p);
+ strPartition(spatialObjects, 0, spatialObjects.size(), 0, dims, maxEntries, new SpatialSingleMeanComparator(0), ret);
+ return ret;
+ }
+
+ /**
+ * Recursively partition.
+ *
+ * @param objs Object list
+ * @param start Subinterval start
+ * @param end Subinterval end
+ * @param depth Iteration depth (must be less than dimensionality!)
+ * @param dims Total number of dimensions
+ * @param maxEntries Maximum page size
+ * @param c Comparison helper
+ * @param ret Output list
+ * @param <T> data type
+ */
+ protected <T extends SpatialComparable> void strPartition(List<T> objs, int start, int end, int depth, int dims, int maxEntries, SpatialSingleMeanComparator c, List<List<T>> ret) {
+ final int p = (int) Math.ceil((end - start) / (double) maxEntries);
+
+ // Compute min and max:
+ double[] mm = new double[dims * 2];
+ for (int d = 0; d < mm.length; d += 2) {
+ mm[d] = Double.POSITIVE_INFINITY; // min <- +inf
+ mm[d + 1] = Double.NEGATIVE_INFINITY; // max <- -inf
+ }
+ for (int i = start; i < end; i++) {
+ T o = objs.get(i);
+ for (int d1 = 0, d2 = 0; d2 < mm.length; d1++, d2 += 2) {
+ mm[d2] = Math.min(mm[d2], o.getMin(d1));
+ mm[d2 + 1] = Math.max(mm[d2 + 1], o.getMax(d1));
+ }
+ }
+ // Find maximum and compute extends
+ double maxex = 0.0;
+ int sdim = -1;
+ for (int d = 0; d < mm.length; d += 2) {
+ final double extend = mm[d + 1] - mm[d];
+ if (extend > maxex) {
+ maxex = extend;
+ sdim = d >> 1;
+ }
+ }
+ // Chose the number of partitions:
+ final int s = (int) Math.ceil(Math.pow(p, 1.0 / (dims - depth)));
+
+ final double len = end - start; // double intentional!
+ for (int i = 0; i < s; i++) {
+ // We don't completely sort, but only ensure the quantile is invariant.
+ int s2 = start + (int) ((i * len) / s);
+ int e2 = start + (int) (((i + 1) * len) / s);
+ // LoggingUtil.warning("STR " + dim + " s2:" + s2 + " e2:" + e2);
+ if (e2 < end) {
+ c.setDimension(sdim);
+ QuickSelect.quickSelect(objs, c, s2, end, e2);
+ }
+ if (depth + 1 == dims) {
+ ret.add(objs.subList(s2, e2));
+ } else {
+ // Descend
+ strPartition(objs, s2, e2, depth + 1, dims, maxEntries, c, ret);
+ }
+ }
+ }
+
+ /**
+ * Parameterization class.
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer extends AbstractParameterizer {
+ @Override
+ protected MaxExtensionSortTileRecursiveBulkSplit makeInstance() {
+ return STATIC;
+ }
+ }
+}