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/*
 * (C) Copyright 2020-2020, by Sebastiano Vigna 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.webgraph;

import java.util.Iterator;
import java.util.NoSuchElementException;
import java.util.Set;

import org.jgrapht.GraphIterables;
import org.jgrapht.GraphType;
import org.jgrapht.graph.DefaultGraphType;

import it.unimi.dsi.fastutil.ints.IntIntSortedPair;
import it.unimi.dsi.fastutil.objects.ObjectIterables;
import it.unimi.dsi.fastutil.objects.ObjectLinkedOpenHashSet;
import it.unimi.dsi.fastutil.objects.ObjectOpenHashBigSet;
import it.unimi.dsi.lang.FlyweightPrototype;
import it.unimi.dsi.webgraph.Check;
import it.unimi.dsi.webgraph.EFGraph;
import it.unimi.dsi.webgraph.ImmutableGraph;
import it.unimi.dsi.webgraph.LazyIntIterator;
import it.unimi.dsi.webgraph.LazyIntIterators;
import it.unimi.dsi.webgraph.LazyIntSkippableIterator;
import it.unimi.dsi.webgraph.NodeIterator;

/**
 * An adapter class for undirected graphs using
 * WebGraph's {@link ImmutableGraph}.
 *
 * 

* Nodes are instances of {@link Integer} corresponding to the index of a node in WebGraph. Edges * are represented by an {@link IntIntSortedPair}. Edges are canonicalized so that the left element * is always smaller than or equal to the right element. Since the underlying graph is immutable, * the resulting graph is unmodifiable. Edges are immutable and can be tested for equality (e.g., * stored in a dictionary). * *

* You need to load a symmetric {@link ImmutableGraph} using one of the available load methods * available, and then build an adapter: * *

 * immutableGraph = ImmutableGraph.loadMapped("mygraph");
 * adapter = new ImmutableUndirectedGraphAdapter(immutableGraph);
 * 
* *

* It is your responsibility that the provided graph is symmetric (for each arc * x → y there is an arc y → * x). No check will be performed, but you can use the {@link Check} class to this * purpose. Note that {@linkplain GraphIterables#edgeCount() computing the number of edges of a * graph} requires a full scan of the edge set if {@link ImmutableGraph#numArcs()} is not supported * (the first time—then it will be cached). * *

* If you use a load method that does not provide random access, most methods will throw an * {@link UnsupportedOperationException}. * *

* If necessary, you can adapt a {@linkplain it.unimi.dsi.big.webgraph.ImmutableGraph big WebGraph * graph} with at most {@link Integer#MAX_VALUE} vertices using the suitable * {@linkplain it.unimi.dsi.big.webgraph.ImmutableGraph#wrap(ImmutableGraph) wrapper}. * *

Thread safety

* *

* This class is not thread safe: following the {@link FlyweightPrototype} pattern, users can access * concurrently the graph {@linkplain #copy() by getting lightweight copies}. * *

Fast adjacency check

* *

* As it happens for the sparse representation of JGraphT, usually a WebGraph compressed * representation requires scanning the adjacency list of a node to * {@linkplain #getEdge(Integer, Integer) test whether a specific arc exists}. However, if you adapt * a WebGraph class (such as {@link EFGraph}) which provides {@linkplain LazyIntSkippableIterator * skippable iterators} with fast skipping, adjacency can be tested more quickly (e.g., essentially * in constant time in the case of {@link EFGraph}). * * @see AbstractImmutableBigGraphAdapter * @author Sebastiano Vigna */ public class ImmutableUndirectedGraphAdapter extends AbstractImmutableGraphAdapter implements FlyweightPrototype { /** * Creates an adapter for an undirected (i.e., symmetric) immutable graph. * *

* It is responsibility of the caller that the provided graph has is symmetric (for each arc * x → y there is an arc y → * x). If this property is not true, results will be unpredictable. * * @param immutableGraph a symmetric immutable graph. */ public ImmutableUndirectedGraphAdapter(final ImmutableGraph immutableGraph) { super(immutableGraph); } @Override protected IntIntSortedPair makeEdge(final int x, final int y) { return IntIntSortedPair.of(x, y); } @Override public boolean containsEdge(final IntIntSortedPair e) { if (e == null) return false; return containsEdgeFast(e.leftInt(), e.rightInt()); } @Override public Set edgeSet() { final NodeIterator nodeIterator = immutableGraph.nodeIterator(); final long m = iterables().edgeCount(); final ObjectOpenHashBigSet edges = new ObjectOpenHashBigSet<>(m); for (int i = 0; i < n; i++) { final int x = nodeIterator.nextInt(); final LazyIntIterator successors = nodeIterator.successors(); for (int y; (y = successors.nextInt()) != -1;) if (x <= y) edges.add(IntIntSortedPair.of(x, y)); } return edges; } @Override public int degreeOf(final Integer vertex) { final long d = inDegreeOf(vertex) + (containsEdgeFast(vertex, vertex) ? 1L : 0L); if (d > Integer.MAX_VALUE) throw new ArithmeticException(); return (int) d; } @Override public Set edgesOf(final Integer vertex) { final ObjectLinkedOpenHashSet set = new ObjectLinkedOpenHashSet<>(); final int source = vertex; final LazyIntIterator successors = immutableGraph.successors(source); for (int target; (target = successors.nextInt()) != -1;) set.add(IntIntSortedPair.of(source, target)); return set; } @Override public int inDegreeOf(final Integer vertex) { return immutableGraph.outdegree(vertex); } @Override public Set incomingEdgesOf(final Integer vertex) { return edgesOf(vertex); } @Override public int outDegreeOf(final Integer vertex) { return immutableGraph.outdegree(vertex); } @Override public Set outgoingEdgesOf(final Integer vertex) { return edgesOf(vertex); } @Override public GraphType getType() { return new DefaultGraphType.Builder() .weighted(false).modifiable(false).allowMultipleEdges(false).allowSelfLoops(true) .undirected().build(); } @Override public ImmutableUndirectedGraphAdapter copy() { return new ImmutableUndirectedGraphAdapter(immutableGraph.copy()); } private final GraphIterables ITERABLES = new GraphIterables<>() { @Override public ImmutableUndirectedGraphAdapter getGraph() { return ImmutableUndirectedGraphAdapter.this; } @Override public long vertexCount() { return n; } @Override public long edgeCount() { if (m != -1) return m; return m = ObjectIterables.size(edges()); } @Override public long degreeOf(final Integer vertex) { return inDegreeOf(vertex) + (containsEdgeFast(vertex, vertex) ? 1 : 0); } @Override public Iterable edgesOf(final Integer vertex) { final int x = vertex; return () -> new Iterator<>() { final LazyIntIterator successors = immutableGraph.successors(x); int y = successors.nextInt(); @Override public boolean hasNext() { if (y != -1) return true; return (y = successors.nextInt()) != -1; } @Override public IntIntSortedPair next() { final IntIntSortedPair edge = IntIntSortedPair.of(y, x); y = -1; return edge; } }; } @Override public long inDegreeOf(final Integer vertex) { return immutableGraph.outdegree(vertex); } @Override public Iterable incomingEdgesOf(final Integer vertex) { return edgesOf(vertex); } @Override public long outDegreeOf(final Integer vertex) { return immutableGraph.outdegree(vertex); } @Override public Iterable outgoingEdgesOf(final Integer vertex) { return edgesOf(vertex); } @Override public Iterable edges() { return () -> new Iterator<>() { final NodeIterator nodeIterator = immutableGraph.nodeIterator(); LazyIntIterator successors = LazyIntIterators.EMPTY_ITERATOR; int x, y = -1; @Override public boolean hasNext() { if (y != -1) return true; do { while ((y = successors.nextInt()) == -1) { if (!nodeIterator.hasNext()) return false; x = nodeIterator.nextInt(); successors = nodeIterator.successors(); } } while (y < x); return true; } @Override public IntIntSortedPair next() { if (!hasNext()) throw new NoSuchElementException(); final IntIntSortedPair edge = IntIntSortedPair.of(x, y); y = -1; return edge; } }; } }; @Override public GraphIterables iterables() { return ITERABLES; } }





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