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/*
 * (C) Copyright 2020-2023, by Dimitrios Michail and Contributors.
 *
 * JGraphT : a free Java graph-theory library
 *
 * See the CONTRIBUTORS.md file distributed with this work for additional
 * information regarding copyright ownership.
 *
 * This program and the accompanying materials are made available under the
 * terms of the Eclipse Public License 2.0 which is available at
 * http://www.eclipse.org/legal/epl-2.0, or the
 * GNU Lesser General Public License v2.1 or later
 * which is available at
 * http://www.gnu.org/licenses/old-licenses/lgpl-2.1-standalone.html.
 *
 * SPDX-License-Identifier: EPL-2.0 OR LGPL-2.1-or-later
 */
package org.jgrapht.alg.linkprediction;

import java.util.HashSet;
import java.util.List;
import java.util.Objects;
import java.util.Set;

import org.jgrapht.Graph;
import org.jgrapht.Graphs;
import org.jgrapht.alg.interfaces.LinkPredictionAlgorithm;
import org.jgrapht.alg.util.Pair;

/**
 * Predict links using the Adamic-Adar Index.
 * 
 * 
 * This is a local method which computes $s_{uv} = \sum_{z \in
 * \Gamma(u)\cap\Gamma(v))}\frac{1}{\log(k(z))}$ where for a node $v$, $\Gamma(v)$ denotes the set
 * of neighbors of $v$ and $k(v) = |\Gamma(v)|$ denotes the degree of $v$.
 * 
 * 
 * See the following two papers:
 * 
 * Liben‐Nowell, David, and Jon Kleinberg. "The link‐prediction problem for social networks."
 * Journal of the American society for information science and technology 58.7 (2007):
 * 1019-1031.
 * Zhou, Tao, Linyuan Lü, and Yi-Cheng Zhang. "Predicting missing links via local information."
 * The European Physical Journal B 71.4 (2009): 623-630.
 * 
 * 
 * @param  the graph vertex type
 * @param  the graph edge type
 * 
 * @author Dimitrios Michail
 */
public class AdamicAdarIndexLinkPrediction
    implements LinkPredictionAlgorithm
{
    private Graph graph;

    /**
     * Create a new prediction
     * 
     * @param graph the input graph
     */
    public AdamicAdarIndexLinkPrediction(Graph graph)
    {
        this.graph = Objects.requireNonNull(graph);
    }

    @Override
    public double predict(V u, V v)
    {
        List gu = Graphs.successorListOf(graph, u);
        List gv = Graphs.successorListOf(graph, v);

        Set intersection = new HashSet<>(gu);
        intersection.retainAll(gv);

        double result = 0d;
        for (V z : intersection) {
            int dz = graph.outDegreeOf(z);
            if (dz < 2) {
                throw new LinkPredictionIndexNotWellDefinedException(
                    "Vertex has less than 2 degree", Pair.of(u, v));
            }
            result += 1d / Math.log(dz);
        }
        return result;
    }

}