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+package tutorial.distancefunction;
+
+import de.lmu.ifi.dbs.elki.data.NumberVector;
+import de.lmu.ifi.dbs.elki.data.type.SimpleTypeInformation;
+import de.lmu.ifi.dbs.elki.data.type.VectorFieldTypeInformation;
+import de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractVectorDoubleDistanceFunction;
+import de.lmu.ifi.dbs.elki.utilities.datastructures.arraylike.ArrayLikeUtil;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.OptionID;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameterization.Parameterization;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameters.DoubleListParameter;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2012
+ 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/>.
+ */
+
+/**
+ * Tutorial example for ELKI.
+ *
+ * See <a
+ * href="http://elki.dbs.ifi.lmu.de/wiki/Tutorial/DistanceFunctions">Distance
+ * function tutorial</a>
+ *
+ * @author Erich Schubert
+ */
+public class MultiLPNorm extends AbstractVectorDoubleDistanceFunction {
+ /**
+ * The exponents
+ */
+ double[] ps;
+
+ /**
+ * Normalization factor (count(ps)/sum(ps))
+ */
+ double pinv;
+
+ /**
+ * Constructor.
+ *
+ * @param ps The exponents
+ */
+ public MultiLPNorm(double[] ps) {
+ super();
+ double sum = 0.0;
+ for(int dim = 0; dim < ps.length; dim++) {
+ assert (ps[dim] >= 0) : "Negative exponents are not allowed.";
+ sum += ps[dim];
+ }
+ assert (sum > 0) : "At least one exponent should be different from 0!";
+
+ this.ps = ps;
+ this.pinv = ps.length / sum;
+ }
+
+ @Override
+ public double doubleDistance(NumberVector<?, ?> o1, NumberVector<?, ?> o2) {
+ assert o1.getDimensionality() == ps.length : "Inappropriate dimensionality!";
+ assert o2.getDimensionality() == ps.length : "Inappropriate dimensionality!";
+
+ double sum = 0.0;
+ for(int dim = 0; dim < ps.length; dim++) {
+ if(ps[dim] > 0) {
+ final double delta = Math.abs(o1.doubleValue(dim + 1) - o2.doubleValue(dim + 1));
+ sum += Math.pow(delta, ps[dim]);
+ }
+ }
+ return Math.pow(sum, pinv);
+ }
+
+ @Override
+ public SimpleTypeInformation<? super NumberVector<?, ?>> getInputTypeRestriction() {
+ return new VectorFieldTypeInformation<NumberVector<?, ?>>(NumberVector.class, ps.length);
+ }
+
+ /**
+ * Parameterization class example
+ *
+ * @author Erich Schubert
+ */
+ public static class Parameterizer extends AbstractParameterizer {
+ /**
+ * Option ID for the exponents <code>
+ * -multinorm.ps
+ * </code>
+ */
+ public static final OptionID EXPONENTS_ID = OptionID.getOrCreateOptionID("multinorm.ps", "The exponents to use for this distance function");
+
+ /**
+ * P exponents
+ */
+ double[] ps;
+
+ @Override
+ protected void makeOptions(Parameterization config) {
+ super.makeOptions(config);
+ DoubleListParameter ps_param = new DoubleListParameter(EXPONENTS_ID);
+ if(config.grab(ps_param)) {
+ ps = ArrayLikeUtil.toPrimitiveDoubleArray(ps_param.getValue());
+ }
+ }
+
+ @Override
+ protected MultiLPNorm makeInstance() {
+ return new MultiLPNorm(ps);
+ }
+ }
+} \ No newline at end of file