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/* ==========================================
 * JGraphT : a free Java graph-theory library
 * ==========================================
 *
 * Project Info:  http://jgrapht.sourceforge.net/
 * Project Creator:  Barak Naveh (http://sourceforge.net/users/barak_naveh)
 *
 * (C) Copyright 2003-2008, by Barak Naveh and Contributors.
 *
 * This program and the accompanying materials are dual-licensed under
 * either
 *
 * (a) the terms of the GNU Lesser General Public License version 2.1
 * as published by the Free Software Foundation, or (at your option) any
 * later version.
 *
 * or (per the licensee's choosing)
 *
 * (b) the terms of the Eclipse Public License v1.0 as published by
 * the Eclipse Foundation.
 */
/* -----------------
 * RandomGraphGenerator.java
 * -----------------
 * (C) Copyright 2005-2008, by Assaf Lehr and Contributors.
 *
 * Original Author:  Assaf Lehr
 * Contributor(s):   -
 *
 * $Id$
 *
 * Changes
 * -------
 */
package org.jgrapht.generate;

import java.util.*;

import org.jgrapht.*;
import org.jgrapht.graph.*;


/**
 * This Generator creates a random-topology graph of a specified number of
 * vertexes and edges. An instance of this generator will always return the same
 * graph-topology in calls to generateGraph(). The vertexes can be different
 * (depends on the VertexFactory implementation)
 *
 * 

However, two instances which use the same constructor parameters will * produce two different random graphs (note: as with any random generator, * there is always a small possibility that two instances will create the same * results). * * @author Assaf Lehr * @since Aug 6, 2005 */ public class RandomGraphGenerator implements GraphGenerator { private static long seedUniquifier = 8682522807148012L; protected int numOfVertexes; protected int numOfEdges; protected Random randomizer; private long randomizerSeed; public RandomGraphGenerator(int aNumOfVertexes, int aNumOfEdges) { if ((aNumOfVertexes < 0) || (aNumOfEdges < 0)) { throw new IllegalArgumentException("must be non-negative"); } this.numOfVertexes = aNumOfVertexes; this.numOfEdges = aNumOfEdges; this.randomizerSeed = chooseRandomSeedOnce(); this.randomizer = new Random(this.randomizerSeed); } /** * Should be called only once on creation. Chooses a seed which can be used * later to reset the randomizer before each method call. This * implementation copies the java.util.Random constructor because there is * no getSeed() there, and seed is protected. * * @author Assaf * @since Aug 6, 2005 */ private synchronized static long chooseRandomSeedOnce() { return (++seedUniquifier + System.nanoTime()); } /** * Resets seed to generate the same random stream. */ private void resetRandomSeed() { this.randomizer.setSeed(this.randomizerSeed); } /** * (non-Javadoc) * * @throws IllegalArgumentException if the aNumOfEdges passed in the * constructor, cannot be created on a graph of the concrete type with * aNumOfVertexes. * org.jgrapht.generate.RandomGraphGenerator.DefaultEdgeTopologyFactory#isNumberOfEdgesValid(org.jgrapht.Graph, * int) * * @see GraphGenerator#generateGraph(Graph, VertexFactory, Map) */ public void generateGraph( Graph target, VertexFactory vertexFactory, Map resultMap) { resetRandomSeed(); // key = generation order (1st,2nd,3rd,...) value=vertex Object // will be used later Map orderToVertexMap = new HashMap(this.numOfVertexes); for (int i = 0; i < this.numOfVertexes; i++) { V currVertex = vertexFactory.createVertex(); target.addVertex(currVertex); orderToVertexMap.put(Integer.valueOf(i), currVertex); } if (target.vertexSet().size() != numOfVertexes) { throw new IllegalArgumentException( "Vertex factory did not produce " + numOfVertexes + " distinct vertices."); } // use specific type of edge factory, depending of the graph type // and edge density EdgeTopologyFactory edgesFactory = edgeTopologyFactoryChooser(target, numOfEdges); if (!edgesFactory.isNumberOfEdgesValid(target, numOfEdges)) { throw new IllegalArgumentException( "numOfEdges is not valid for the graph type " + "\n-> Invalid number Of Edges=" + numOfEdges + " for:" + " graph type=" + target.getClass() + " ,number Of Vertexes=" + this.numOfVertexes + "\n-> Advice: For the Max value , check the javadoc for" + " org.jgrapht.generate.RandomGraphGenerator.DefaultEdgeTopologyFactory"); } edgesFactory.createEdges( target, orderToVertexMap, this.numOfEdges, this.randomizer); } /** * Returns a concrete EdgeTopologyFactory, depending on graph type and * numOfEdges * * @param target * * @return */ private EdgeTopologyFactory edgeTopologyFactoryChooser( Graph target, int numOfEdges) { return new DefaultEdgeTopologyFactory(); } /** * This class is used to generate the edge topology for a graph. * * @author Assaf * @since Aug 6, 2005 */ public interface EdgeTopologyFactory { /** * Two different calls to the createEdges() with the same parameters * must result in the generation of the same. But if the randomizer is * different, it should, usually, create different edge topology. * * @param targetGraph - guranteed to start with zero edges. * @param orderToVertexMap - key=Integer of vertex order . between zero * to numOfVertexes (exclusive). value = vertex from the graph. unique. * @param numberOfEdges - to create in the graph * @param randomizer */ public void createEdges( Graph targetGraph, Map orderToVertexMap, int numberOfEdges, Random randomizer); /** * Checks if the graph can contain the givven numberOfEdges according to * the graph type restrictions. For example: #V means number of * vertexes in graph *

  • a Simple Graph, can have max of #V*(#V-1)/2 edges. etc * * @param targetGraph guranteed to start with zero edges. * @param numberOfEdges */ public boolean isNumberOfEdgesValid( Graph targetGraph, int numberOfEdges); } /** * Default implementation of the EdgeTopologyFactory interface. randomly * chooses an edge and tries to add it. If the add fails from any reason * (like: self edge / multiple edges in unpermitted graph type) it will just * choose another and try again. Performance: *
  • when the number of possible edges becomes slim , this class will have * a very poor performance , cause it will not use gready methods to choose * them. for example : In simple graph , if #V = N (#x = number Of x) and we * want full mesh #edges= N*(N-1)/2 , the first added edges will do so * quickly (O(1) , the last will take O(N^2). So , do not use it in this * kind of graphs. *
  • If the numberOfEdges is bigger than what the graph can add, there * will be an infinite loop here. It is not tested. * * @author Assaf * @since Aug 6, 2005 */ public class DefaultEdgeTopologyFactory implements EdgeTopologyFactory { public void createEdges( Graph targetGraph, Map orderToVertexMap, int numberOfEdges, Random randomizer) { int iterationsCounter = 0; int edgesCounter = 0; while (edgesCounter < numberOfEdges) { // randomizer.nextInt(int n) return a number between zero // (inclusive) and n(exclusive) VV startVertex = orderToVertexMap.get( Integer.valueOf(randomizer.nextInt(numOfVertexes))); VV endVertex = orderToVertexMap.get( Integer.valueOf(randomizer.nextInt(numOfVertexes))); try { EE resultEdge = targetGraph.addEdge(startVertex, endVertex); if (resultEdge != null) { edgesCounter++; } } catch (Exception e) { // do nothing.just ignore the edge } iterationsCounter++; } } /** * checks if the numOfEdges is smaller than the Max edges according to * the following table: * *

    *

    * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
    Graph TypeDirected / UnDirectedmultiple edgesloopsMax Edges
    SimpleGraphUnDirected--N(N-1)/2
    MultigraphUnDirected+-Infinite
    PseudographUnDirected++Infinite
    SimpleDirectedGraphDirected--N (N-1)
    DefaultDirectedGraphDirected-+N*(N-1)+ N = N^2
    DirectedMultigraphDirected++Infinite
    * * @see RandomGraphGenerator.EdgeTopologyFactory#isNumberOfEdgesValid(Graph, * int) */ public boolean isNumberOfEdgesValid( Graph targetGraph, int numberOfEdges) { boolean result; boolean infinite = false; int maxAllowedEdges = getMaxEdgesForVertexNum(targetGraph); if (maxAllowedEdges == -1) { infinite = true; } if (true == infinite) { result = true; } else if (numberOfEdges <= maxAllowedEdges) { result = true; } else { result = false; } return result; } /** * Return max edges for that graph. If it is infinite return -1 instead. */ public int getMaxEdgesForVertexNum(Graph targetGraph) { int maxAllowedEdges = 0; if (targetGraph instanceof SimpleGraph) { maxAllowedEdges = numOfVertexes * (numOfVertexes - 1) / 2; } else if (targetGraph instanceof SimpleDirectedGraph) { maxAllowedEdges = numOfVertexes * (numOfVertexes - 1); } else if (targetGraph instanceof DefaultDirectedGraph) { maxAllowedEdges = numOfVertexes * numOfVertexes; } else { // This may be overly liberal in the case of something // like a simple graph which has been wrapped with // a graph adapter or view. maxAllowedEdges = -1; // infinite } return maxAllowedEdges; } } } // End RandomGraphGenerator.java




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