001/*
002 * Copyright (C) 2014 The Guava Authors
003 *
004 * Licensed under the Apache License, Version 2.0 (the "License");
005 * you may not use this file except in compliance with the License.
006 * You may obtain a copy of the License at
007 *
008 * http://www.apache.org/licenses/LICENSE-2.0
009 *
010 * Unless required by applicable law or agreed to in writing, software
011 * distributed under the License is distributed on an "AS IS" BASIS,
012 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
013 * See the License for the specific language governing permissions and
014 * limitations under the License.
015 */
016
017package com.google.common.graph;
018
019import com.google.common.annotations.Beta;
020import com.google.errorprone.annotations.DoNotMock;
021import java.util.Set;
022import javax.annotation.CheckForNull;
023
024/**
025 * An interface for <a
026 * href="https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)">graph</a>-structured data,
027 * whose edges are unique objects.
028 *
029 * <p>A graph is composed of a set of nodes and a set of edges connecting pairs of nodes.
030 *
031 * <p>There are three primary interfaces provided to represent graphs. In order of increasing
032 * complexity they are: {@link Graph}, {@link ValueGraph}, and {@link Network}. You should generally
033 * prefer the simplest interface that satisfies your use case. See the <a
034 * href="https://github.com/google/guava/wiki/GraphsExplained#choosing-the-right-graph-type">
035 * "Choosing the right graph type"</a> section of the Guava User Guide for more details.
036 *
037 * <h3>Capabilities</h3>
038 *
039 * <p>{@code Network} supports the following use cases (<a
040 * href="https://github.com/google/guava/wiki/GraphsExplained#definitions">definitions of
041 * terms</a>):
042 *
043 * <ul>
044 *   <li>directed graphs
045 *   <li>undirected graphs
046 *   <li>graphs that do/don't allow parallel edges
047 *   <li>graphs that do/don't allow self-loops
048 *   <li>graphs whose nodes/edges are insertion-ordered, sorted, or unordered
049 *   <li>graphs whose edges are unique objects
050 * </ul>
051 *
052 * <h3>Building a {@code Network}</h3>
053 *
054 * <p>The implementation classes that {@code common.graph} provides are not public, by design. To
055 * create an instance of one of the built-in implementations of {@code Network}, use the {@link
056 * NetworkBuilder} class:
057 *
058 * <pre>{@code
059 * MutableNetwork<Integer, MyEdge> network = NetworkBuilder.directed().build();
060 * }</pre>
061 *
062 * <p>{@link NetworkBuilder#build()} returns an instance of {@link MutableNetwork}, which is a
063 * subtype of {@code Network} that provides methods for adding and removing nodes and edges. If you
064 * do not need to mutate a network (e.g. if you write a method than runs a read-only algorithm on
065 * the network), you should use the non-mutating {@link Network} interface, or an {@link
066 * ImmutableNetwork}.
067 *
068 * <p>You can create an immutable copy of an existing {@code Network} using {@link
069 * ImmutableNetwork#copyOf(Network)}:
070 *
071 * <pre>{@code
072 * ImmutableNetwork<Integer, MyEdge> immutableGraph = ImmutableNetwork.copyOf(network);
073 * }</pre>
074 *
075 * <p>Instances of {@link ImmutableNetwork} do not implement {@link MutableNetwork} (obviously!) and
076 * are contractually guaranteed to be unmodifiable and thread-safe.
077 *
078 * <p>The Guava User Guide has <a
079 * href="https://github.com/google/guava/wiki/GraphsExplained#building-graph-instances">more
080 * information on (and examples of) building graphs</a>.
081 *
082 * <h3>Additional documentation</h3>
083 *
084 * <p>See the Guava User Guide for the {@code common.graph} package (<a
085 * href="https://github.com/google/guava/wiki/GraphsExplained">"Graphs Explained"</a>) for
086 * additional documentation, including:
087 *
088 * <ul>
089 *   <li><a
090 *       href="https://github.com/google/guava/wiki/GraphsExplained#equals-hashcode-and-graph-equivalence">
091 *       {@code equals()}, {@code hashCode()}, and graph equivalence</a>
092 *   <li><a href="https://github.com/google/guava/wiki/GraphsExplained#synchronization">
093 *       Synchronization policy</a>
094 *   <li><a href="https://github.com/google/guava/wiki/GraphsExplained#notes-for-implementors">Notes
095 *       for implementors</a>
096 * </ul>
097 *
098 * @author James Sexton
099 * @author Joshua O'Madadhain
100 * @param <N> Node parameter type
101 * @param <E> Edge parameter type
102 * @since 20.0
103 */
104@Beta
105@DoNotMock("Use NetworkBuilder to create a real instance")
106@ElementTypesAreNonnullByDefault
107public interface Network<N, E> extends SuccessorsFunction<N>, PredecessorsFunction<N> {
108  //
109  // Network-level accessors
110  //
111
112  /** Returns all nodes in this network, in the order specified by {@link #nodeOrder()}. */
113  Set<N> nodes();
114
115  /** Returns all edges in this network, in the order specified by {@link #edgeOrder()}. */
116  Set<E> edges();
117
118  /**
119   * Returns a live view of this network as a {@link Graph}. The resulting {@link Graph} will have
120   * an edge connecting node A to node B if this {@link Network} has an edge connecting A to B.
121   *
122   * <p>If this network {@link #allowsParallelEdges() allows parallel edges}, parallel edges will be
123   * treated as if collapsed into a single edge. For example, the {@link #degree(Object)} of a node
124   * in the {@link Graph} view may be less than the degree of the same node in this {@link Network}.
125   */
126  Graph<N> asGraph();
127
128  //
129  // Network properties
130  //
131
132  /**
133   * Returns true if the edges in this network are directed. Directed edges connect a {@link
134   * EndpointPair#source() source node} to a {@link EndpointPair#target() target node}, while
135   * undirected edges connect a pair of nodes to each other.
136   */
137  boolean isDirected();
138
139  /**
140   * Returns true if this network allows parallel edges. Attempting to add a parallel edge to a
141   * network that does not allow them will throw an {@link IllegalArgumentException}.
142   */
143  boolean allowsParallelEdges();
144
145  /**
146   * Returns true if this network allows self-loops (edges that connect a node to itself).
147   * Attempting to add a self-loop to a network that does not allow them will throw an {@link
148   * IllegalArgumentException}.
149   */
150  boolean allowsSelfLoops();
151
152  /** Returns the order of iteration for the elements of {@link #nodes()}. */
153  ElementOrder<N> nodeOrder();
154
155  /** Returns the order of iteration for the elements of {@link #edges()}. */
156  ElementOrder<E> edgeOrder();
157
158  //
159  // Element-level accessors
160  //
161
162  /**
163   * Returns a live view of the nodes which have an incident edge in common with {@code node} in
164   * this network.
165   *
166   * <p>This is equal to the union of {@link #predecessors(Object)} and {@link #successors(Object)}.
167   *
168   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
169   * {@code view} returned by this method will be invalidated, and will throw {@code
170   * IllegalStateException} if it is accessed in any way, with the following exceptions:
171   *
172   * <ul>
173   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
174   *       expression involving {@code view} will throw)
175   *   <li>{@code hashCode()} does not throw
176   *   <li>if {@code node} is re-added to the network after having been removed, {@code view}'s
177   *       behavior is undefined
178   * </ul>
179   *
180   * @throws IllegalArgumentException if {@code node} is not an element of this network
181   */
182  Set<N> adjacentNodes(N node);
183
184  /**
185   * Returns a live view of all nodes in this network adjacent to {@code node} which can be reached
186   * by traversing {@code node}'s incoming edges <i>against</i> the direction (if any) of the edge.
187   *
188   * <p>In an undirected network, this is equivalent to {@link #adjacentNodes(Object)}.
189   *
190   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
191   * returned by this method will be invalidated, and will throw {@code IllegalStateException} if it
192   * is accessed in any way.
193   *
194   * @throws IllegalArgumentException if {@code node} is not an element of this network
195   */
196  @Override
197  Set<N> predecessors(N node);
198
199  /**
200   * Returns a live view of all nodes in this network adjacent to {@code node} which can be reached
201   * by traversing {@code node}'s outgoing edges in the direction (if any) of the edge.
202   *
203   * <p>In an undirected network, this is equivalent to {@link #adjacentNodes(Object)}.
204   *
205   * <p>This is <i>not</i> the same as "all nodes reachable from {@code node} by following outgoing
206   * edges". For that functionality, see {@link Graphs#reachableNodes(Graph, Object)}.
207   *
208   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
209   * {@code view} returned by this method will be invalidated, and will throw {@code
210   * IllegalStateException} if it is accessed in any way, with the following exceptions:
211   *
212   * <ul>
213   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
214   *       expression involving {@code view} will throw)
215   *   <li>{@code hashCode()} does not throw
216   *   <li>if {@code node} is re-added to the network after having been removed, {@code view}'s
217   *       behavior is undefined
218   * </ul>
219   *
220   * @throws IllegalArgumentException if {@code node} is not an element of this network
221   */
222  @Override
223  Set<N> successors(N node);
224
225  /**
226   * Returns a live view of the edges whose {@link #incidentNodes(Object) incident nodes} in this
227   * network include {@code node}.
228   *
229   * <p>This is equal to the union of {@link #inEdges(Object)} and {@link #outEdges(Object)}.
230   *
231   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
232   * {@code view} returned by this method will be invalidated, and will throw {@code
233   * IllegalStateException} if it is accessed in any way, with the following exceptions:
234   *
235   * <ul>
236   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
237   *       expression involving {@code view} will throw)
238   *   <li>{@code hashCode()} does not throw
239   *   <li>if {@code node} is re-added to the network after having been removed, {@code view}'s
240   *       behavior is undefined
241   * </ul>
242   *
243   * @throws IllegalArgumentException if {@code node} is not an element of this network
244   * @since 24.0
245   */
246  Set<E> incidentEdges(N node);
247
248  /**
249   * Returns a live view of all edges in this network which can be traversed in the direction (if
250   * any) of the edge to end at {@code node}.
251   *
252   * <p>In a directed network, an incoming edge's {@link EndpointPair#target()} equals {@code node}.
253   *
254   * <p>In an undirected network, this is equivalent to {@link #incidentEdges(Object)}.
255   *
256   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
257   * {@code view} returned by this method will be invalidated, and will throw {@code
258   * IllegalStateException} if it is accessed in any way, with the following exceptions:
259   *
260   * <ul>
261   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
262   *       expression involving {@code view} will throw)
263   *   <li>{@code hashCode()} does not throw
264   *   <li>if {@code node} is re-added to the network after having been removed, {@code view}'s
265   *       behavior is undefined
266   * </ul>
267   *
268   * @throws IllegalArgumentException if {@code node} is not an element of this network
269   */
270  Set<E> inEdges(N node);
271
272  /**
273   * Returns a live view of all edges in this network which can be traversed in the direction (if
274   * any) of the edge starting from {@code node}.
275   *
276   * <p>In a directed network, an outgoing edge's {@link EndpointPair#source()} equals {@code node}.
277   *
278   * <p>In an undirected network, this is equivalent to {@link #incidentEdges(Object)}.
279   *
280   * <p>If {@code node} is removed from the network after this method is called, the {@code Set}
281   * {@code view} returned by this method will be invalidated, and will throw {@code
282   * IllegalStateException} if it is accessed in any way, with the following exceptions:
283   *
284   * <ul>
285   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
286   *       expression involving {@code view} will throw)
287   *   <li>{@code hashCode()} does not throw
288   *   <li>if {@code node} is re-added to the network after having been removed, {@code view}'s
289   *       behavior is undefined
290   * </ul>
291   *
292   * @throws IllegalArgumentException if {@code node} is not an element of this network
293   */
294  Set<E> outEdges(N node);
295
296  /**
297   * Returns the count of {@code node}'s {@link #incidentEdges(Object) incident edges}, counting
298   * self-loops twice (equivalently, the number of times an edge touches {@code node}).
299   *
300   * <p>For directed networks, this is equal to {@code inDegree(node) + outDegree(node)}.
301   *
302   * <p>For undirected networks, this is equal to {@code incidentEdges(node).size()} + (number of
303   * self-loops incident to {@code node}).
304   *
305   * <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
306   *
307   * @throws IllegalArgumentException if {@code node} is not an element of this network
308   */
309  int degree(N node);
310
311  /**
312   * Returns the count of {@code node}'s {@link #inEdges(Object) incoming edges} in a directed
313   * network. In an undirected network, returns the {@link #degree(Object)}.
314   *
315   * <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
316   *
317   * @throws IllegalArgumentException if {@code node} is not an element of this network
318   */
319  int inDegree(N node);
320
321  /**
322   * Returns the count of {@code node}'s {@link #outEdges(Object) outgoing edges} in a directed
323   * network. In an undirected network, returns the {@link #degree(Object)}.
324   *
325   * <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
326   *
327   * @throws IllegalArgumentException if {@code node} is not an element of this network
328   */
329  int outDegree(N node);
330
331  /**
332   * Returns the nodes which are the endpoints of {@code edge} in this network.
333   *
334   * @throws IllegalArgumentException if {@code edge} is not an element of this network
335   */
336  EndpointPair<N> incidentNodes(E edge);
337
338  /**
339   * Returns a live view of the edges which have an {@link #incidentNodes(Object) incident node} in
340   * common with {@code edge}. An edge is not considered adjacent to itself.
341   *
342   * <p>If {@code edge} is removed from the network after this method is called, the {@code Set}
343   * {@code view} returned by this method will be invalidated, and will throw {@code
344   * IllegalStateException} if it is accessed in any way, with the following exceptions:
345   *
346   * <ul>
347   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
348   *       expression involving {@code view} will throw)
349   *   <li>{@code hashCode()} does not throw
350   *   <li>if {@code edge} is re-added to the network after having been removed, {@code view}'s
351   *       behavior is undefined
352   * </ul>
353   *
354   * @throws IllegalArgumentException if {@code edge} is not an element of this network
355   */
356  Set<E> adjacentEdges(E edge);
357
358  /**
359   * Returns a live view of the set of edges that each directly connect {@code nodeU} to {@code
360   * nodeV}.
361   *
362   * <p>In an undirected network, this is equal to {@code edgesConnecting(nodeV, nodeU)}.
363   *
364   * <p>The resulting set of edges will be parallel (i.e. have equal {@link
365   * #incidentNodes(Object)}). If this network does not {@link #allowsParallelEdges() allow parallel
366   * edges}, the resulting set will contain at most one edge (equivalent to {@code
367   * edgeConnecting(nodeU, nodeV).asSet()}).
368   *
369   * <p>If either {@code nodeU} or {@code nodeV} are removed from the network after this method is
370   * called, the {@code Set} {@code view} returned by this method will be invalidated, and will
371   * throw {@code IllegalStateException} if it is accessed in any way, with the following
372   * exceptions:
373   *
374   * <ul>
375   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
376   *       expression involving {@code view} will throw)
377   *   <li>{@code hashCode()} does not throw
378   *   <li>if {@code nodeU} or {@code nodeV} are re-added to the network after having been removed,
379   *       {@code view}'s behavior is undefined
380   * </ul>
381   *
382   * @throws IllegalArgumentException if {@code nodeU} or {@code nodeV} is not an element of this
383   *     network
384   */
385  Set<E> edgesConnecting(N nodeU, N nodeV);
386
387  /**
388   * Returns a live view of the set of edges that each directly connect {@code endpoints} (in the
389   * order, if any, specified by {@code endpoints}).
390   *
391   * <p>The resulting set of edges will be parallel (i.e. have equal {@link
392   * #incidentNodes(Object)}). If this network does not {@link #allowsParallelEdges() allow parallel
393   * edges}, the resulting set will contain at most one edge (equivalent to {@code
394   * edgeConnecting(endpoints).asSet()}).
395   *
396   * <p>If this network is directed, {@code endpoints} must be ordered.
397   *
398   * <p>If either element of {@code endpoints} is removed from the network after this method is
399   * called, the {@code Set} {@code view} returned by this method will be invalidated, and will
400   * throw {@code IllegalStateException} if it is accessed in any way, with the following
401   * exceptions:
402   *
403   * <ul>
404   *   <li>{@code view.equals(view)} evaluates to {@code true} (but any other {@code equals()}
405   *       expression involving {@code view} will throw)
406   *   <li>{@code hashCode()} does not throw
407   *   <li>if either endpoint is re-added to the network after having been removed, {@code view}'s
408   *       behavior is undefined
409   * </ul>
410   *
411   * @throws IllegalArgumentException if either endpoint is not an element of this network
412   * @throws IllegalArgumentException if the endpoints are unordered and the network is directed
413   * @since 27.1
414   */
415  Set<E> edgesConnecting(EndpointPair<N> endpoints);
416
417  /**
418   * Returns the single edge that directly connects {@code nodeU} to {@code nodeV}, if one is
419   * present, or {@code null} if no such edge exists.
420   *
421   * <p>In an undirected network, this is equal to {@code edgeConnectingOrNull(nodeV, nodeU)}.
422   *
423   * @throws IllegalArgumentException if there are multiple parallel edges connecting {@code nodeU}
424   *     to {@code nodeV}
425   * @throws IllegalArgumentException if {@code nodeU} or {@code nodeV} is not an element of this
426   *     network
427   * @since 23.0
428   */
429  @CheckForNull
430  E edgeConnectingOrNull(N nodeU, N nodeV);
431
432  /**
433   * Returns the single edge that directly connects {@code endpoints} (in the order, if any,
434   * specified by {@code endpoints}), if one is present, or {@code null} if no such edge exists.
435   *
436   * <p>If this network is directed, the endpoints must be ordered.
437   *
438   * @throws IllegalArgumentException if there are multiple parallel edges connecting {@code nodeU}
439   *     to {@code nodeV}
440   * @throws IllegalArgumentException if either endpoint is not an element of this network
441   * @throws IllegalArgumentException if the endpoints are unordered and the network is directed
442   * @since 27.1
443   */
444  @CheckForNull
445  E edgeConnectingOrNull(EndpointPair<N> endpoints);
446
447  /**
448   * Returns true if there is an edge that directly connects {@code nodeU} to {@code nodeV}. This is
449   * equivalent to {@code nodes().contains(nodeU) && successors(nodeU).contains(nodeV)}, and to
450   * {@code edgeConnectingOrNull(nodeU, nodeV) != null}.
451   *
452   * <p>In an undirected network, this is equal to {@code hasEdgeConnecting(nodeV, nodeU)}.
453   *
454   * @since 23.0
455   */
456  boolean hasEdgeConnecting(N nodeU, N nodeV);
457
458  /**
459   * Returns true if there is an edge that directly connects {@code endpoints} (in the order, if
460   * any, specified by {@code endpoints}).
461   *
462   * <p>Unlike the other {@code EndpointPair}-accepting methods, this method does not throw if the
463   * endpoints are unordered and the network is directed; it simply returns {@code false}. This is
464   * for consistency with {@link Graph#hasEdgeConnecting(EndpointPair)} and {@link
465   * ValueGraph#hasEdgeConnecting(EndpointPair)}.
466   *
467   * @since 27.1
468   */
469  boolean hasEdgeConnecting(EndpointPair<N> endpoints);
470
471  //
472  // Network identity
473  //
474
475  /**
476   * Returns {@code true} iff {@code object} is a {@link Network} that has the same elements and the
477   * same structural relationships as those in this network.
478   *
479   * <p>Thus, two networks A and B are equal if <b>all</b> of the following are true:
480   *
481   * <ul>
482   *   <li>A and B have equal {@link #isDirected() directedness}.
483   *   <li>A and B have equal {@link #nodes() node sets}.
484   *   <li>A and B have equal {@link #edges() edge sets}.
485   *   <li>Every edge in A and B connects the same nodes in the same direction (if any).
486   * </ul>
487   *
488   * <p>Network properties besides {@link #isDirected() directedness} do <b>not</b> affect equality.
489   * For example, two networks may be considered equal even if one allows parallel edges and the
490   * other doesn't. Additionally, the order in which nodes or edges are added to the network, and
491   * the order in which they are iterated over, are irrelevant.
492   *
493   * <p>A reference implementation of this is provided by {@link AbstractNetwork#equals(Object)}.
494   */
495  @Override
496  boolean equals(@CheckForNull Object object);
497
498  /**
499   * Returns the hash code for this network. The hash code of a network is defined as the hash code
500   * of a map from each of its {@link #edges() edges} to their {@link #incidentNodes(Object)
501   * incident nodes}.
502   *
503   * <p>A reference implementation of this is provided by {@link AbstractNetwork#hashCode()}.
504   */
505  @Override
506  int hashCode();
507}