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/*
* Copyright (C) 2016 The Guava Authors
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package com.google.common.graph;
import com.google.common.annotations.Beta;
import java.util.Collection;
import java.util.Set;
import org.checkerframework.checker.nullness.compatqual.NullableDecl;
/**
* An interface for <a
* href="https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)">graph</a>-structured data,
* whose edges have associated non-unique values.
*
* <p>A graph is composed of a set of nodes and a set of edges connecting pairs of nodes.
*
* <p>There are three primary interfaces provided to represent graphs. In order of increasing
* complexity they are: {@link Graph}, {@link ValueGraph}, and {@link Network}. You should generally
* prefer the simplest interface that satisfies your use case. See the <a
* href="https://github.com/google/guava/wiki/GraphsExplained#choosing-the-right-graph-type">
* "Choosing the right graph type"</a> section of the Guava User Guide for more details.
*
* <h3>Capabilities</h3>
*
* <p>{@code ValueGraph} supports the following use cases (<a
* href="https://github.com/google/guava/wiki/GraphsExplained#definitions">definitions of
* terms</a>):
*
* <ul>
* <li>directed graphs
* <li>undirected graphs
* <li>graphs that do/don't allow self-loops
* <li>graphs whose nodes/edges are insertion-ordered, sorted, or unordered
* <li>graphs whose edges have associated values
* </ul>
*
* <p>{@code ValueGraph}, as a subtype of {@code Graph}, explicitly does not support parallel edges,
* and forbids implementations or extensions with parallel edges. If you need parallel edges, use
* {@link Network}. (You can use a positive {@code Integer} edge value as a loose representation of
* edge multiplicity, but the {@code *degree()} and mutation methods will not reflect your
* interpretation of the edge value as its multiplicity.)
*
* <h3>Building a {@code ValueGraph}</h3>
*
* <p>The implementation classes that {@code common.graph} provides are not public, by design. To
* create an instance of one of the built-in implementations of {@code ValueGraph}, use the {@link
* ValueGraphBuilder} class:
*
* <pre>{@code
* MutableValueGraph<Integer, Double> graph = ValueGraphBuilder.directed().build();
* }</pre>
*
* <p>{@link ValueGraphBuilder#build()} returns an instance of {@link MutableValueGraph}, which is a
* subtype of {@code ValueGraph} that provides methods for adding and removing nodes and edges. If
* you do not need to mutate a graph (e.g. if you write a method than runs a read-only algorithm on
* the graph), you should use the non-mutating {@link ValueGraph} interface, or an {@link
* ImmutableValueGraph}.
*
* <p>You can create an immutable copy of an existing {@code ValueGraph} using {@link
* ImmutableValueGraph#copyOf(ValueGraph)}:
*
* <pre>{@code
* ImmutableValueGraph<Integer, Double> immutableGraph = ImmutableValueGraph.copyOf(graph);
* }</pre>
*
* <p>Instances of {@link ImmutableValueGraph} do not implement {@link MutableValueGraph}
* (obviously!) and are contractually guaranteed to be unmodifiable and thread-safe.
*
* <p>The Guava User Guide has <a
* href="https://github.com/google/guava/wiki/GraphsExplained#building-graph-instances">more
* information on (and examples of) building graphs</a>.
*
* <h3>Additional documentation</h3>
*
* <p>See the Guava User Guide for the {@code common.graph} package (<a
* href="https://github.com/google/guava/wiki/GraphsExplained">"Graphs Explained"</a>) for
* additional documentation, including:
*
* <ul>
* <li><a
* href="https://github.com/google/guava/wiki/GraphsExplained#equals-hashcode-and-graph-equivalence">
* {@code equals()}, {@code hashCode()}, and graph equivalence</a>
* <li><a href="https://github.com/google/guava/wiki/GraphsExplained#synchronization">
* Synchronization policy</a>
* <li><a href="https://github.com/google/guava/wiki/GraphsExplained#notes-for-implementors">Notes
* for implementors</a>
* </ul>
*
* @author James Sexton
* @author Joshua O'Madadhain
* @param <N> Node parameter type
* @param <V> Value parameter type
* @since 20.0
*/
@Beta
public interface ValueGraph<N, V> extends BaseGraph<N> {
//
// ValueGraph-level accessors
//
/** Returns all nodes in this graph, in the order specified by {@link #nodeOrder()}. */
@Override
Set<N> nodes();
/** Returns all edges in this graph. */
@Override
Set<EndpointPair<N>> edges();
/**
* Returns a live view of this graph as a {@link Graph}. The resulting {@link Graph} will have an
* edge connecting node A to node B if this {@link ValueGraph} has an edge connecting A to B.
*/
Graph<N> asGraph();
//
// ValueGraph properties
//
/**
* Returns true if the edges in this graph are directed. Directed edges connect a {@link
* EndpointPair#source() source node} to a {@link EndpointPair#target() target node}, while
* undirected edges connect a pair of nodes to each other.
*/
@Override
boolean isDirected();
/**
* Returns true if this graph allows self-loops (edges that connect a node to itself). Attempting
* to add a self-loop to a graph that does not allow them will throw an {@link
* IllegalArgumentException}.
*/
@Override
boolean allowsSelfLoops();
/** Returns the order of iteration for the elements of {@link #nodes()}. */
@Override
ElementOrder<N> nodeOrder();
/**
* Returns an {@link ElementOrder} that specifies the order of iteration for the elements of
* {@link #edges()}, {@link #adjacentNodes(Object)}, {@link #predecessors(Object)}, {@link
* #successors(Object)} and {@link #incidentEdges(Object)}.
*
* @since 29.0
*/
@Override
ElementOrder<N> incidentEdgeOrder();
//
// Element-level accessors
//
/**
* Returns the nodes which have an incident edge in common with {@code node} in this graph.
*
* <p>This is equal to the union of {@link #predecessors(Object)} and {@link #successors(Object)}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
Set<N> adjacentNodes(N node);
/**
* Returns all nodes in this graph adjacent to {@code node} which can be reached by traversing
* {@code node}'s incoming edges <i>against</i> the direction (if any) of the edge.
*
* <p>In an undirected graph, this is equivalent to {@link #adjacentNodes(Object)}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
Set<N> predecessors(N node);
/**
* Returns all nodes in this graph adjacent to {@code node} which can be reached by traversing
* {@code node}'s outgoing edges in the direction (if any) of the edge.
*
* <p>In an undirected graph, this is equivalent to {@link #adjacentNodes(Object)}.
*
* <p>This is <i>not</i> the same as "all nodes reachable from {@code node} by following outgoing
* edges". For that functionality, see {@link Graphs#reachableNodes(Graph, Object)}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
Set<N> successors(N node);
/**
* Returns the edges in this graph whose endpoints include {@code node}.
*
* <p>This is equal to the union of incoming and outgoing edges.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
* @since 24.0
*/
@Override
Set<EndpointPair<N>> incidentEdges(N node);
/**
* Returns the count of {@code node}'s incident edges, counting self-loops twice (equivalently,
* the number of times an edge touches {@code node}).
*
* <p>For directed graphs, this is equal to {@code inDegree(node) + outDegree(node)}.
*
* <p>For undirected graphs, this is equal to {@code incidentEdges(node).size()} + (number of
* self-loops incident to {@code node}).
*
* <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
int degree(N node);
/**
* Returns the count of {@code node}'s incoming edges (equal to {@code predecessors(node).size()})
* in a directed graph. In an undirected graph, returns the {@link #degree(Object)}.
*
* <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
int inDegree(N node);
/**
* Returns the count of {@code node}'s outgoing edges (equal to {@code successors(node).size()})
* in a directed graph. In an undirected graph, returns the {@link #degree(Object)}.
*
* <p>If the count is greater than {@code Integer.MAX_VALUE}, returns {@code Integer.MAX_VALUE}.
*
* @throws IllegalArgumentException if {@code node} is not an element of this graph
*/
@Override
int outDegree(N node);
/**
* Returns true if there is an edge that directly connects {@code nodeU} to {@code nodeV}. This is
* equivalent to {@code nodes().contains(nodeU) && successors(nodeU).contains(nodeV)}.
*
* <p>In an undirected graph, this is equal to {@code hasEdgeConnecting(nodeV, nodeU)}.
*
* @since 23.0
*/
@Override
boolean hasEdgeConnecting(N nodeU, N nodeV);
/**
* Returns true if there is an edge that directly connects {@code endpoints} (in the order, if
* any, specified by {@code endpoints}). This is equivalent to {@code
* edges().contains(endpoints)}.
*
* <p>Unlike the other {@code EndpointPair}-accepting methods, this method does not throw if the
* endpoints are unordered and the graph is directed; it simply returns {@code false}. This is for
* consistency with the behavior of {@link Collection#contains(Object)} (which does not generally
* throw if the object cannot be present in the collection), and the desire to have this method's
* behavior be compatible with {@code edges().contains(endpoints)}.
*
* @since 27.1
*/
@Override
boolean hasEdgeConnecting(EndpointPair<N> endpoints);
/**
* Returns the value of the edge that connects {@code nodeU} to {@code nodeV}, if one is present;
* otherwise, returns {@code defaultValue}.
*
* <p>In an undirected graph, this is equal to {@code edgeValueOrDefault(nodeV, nodeU,
* defaultValue)}.
*
* @throws IllegalArgumentException if {@code nodeU} or {@code nodeV} is not an element of this
* graph
*/
@NullableDecl
V edgeValueOrDefault(N nodeU, N nodeV, @NullableDecl V defaultValue);
/**
* Returns the value of the edge that connects {@code endpoints} (in the order, if any, specified
* by {@code endpoints}), if one is present; otherwise, returns {@code defaultValue}.
*
* <p>If this graph is directed, the endpoints must be ordered.
*
* @throws IllegalArgumentException if either endpoint is not an element of this graph
* @throws IllegalArgumentException if the endpoints are unordered and the graph is directed
* @since 27.1
*/
@NullableDecl
V edgeValueOrDefault(EndpointPair<N> endpoints, @NullableDecl V defaultValue);
//
// ValueGraph identity
//
/**
* Returns {@code true} iff {@code object} is a {@link ValueGraph} that has the same elements and
* the same structural relationships as those in this graph.
*
* <p>Thus, two value graphs A and B are equal if <b>all</b> of the following are true:
*
* <ul>
* <li>A and B have equal {@link #isDirected() directedness}.
* <li>A and B have equal {@link #nodes() node sets}.
* <li>A and B have equal {@link #edges() edge sets}.
* <li>The {@link #edgeValue(Object, Object) value} of a given edge is the same in both A and B.
* </ul>
*
* <p>Graph properties besides {@link #isDirected() directedness} do <b>not</b> affect equality.
* For example, two graphs may be considered equal even if one allows self-loops and the other
* doesn't. Additionally, the order in which nodes or edges are added to the graph, and the order
* in which they are iterated over, are irrelevant.
*
* <p>A reference implementation of this is provided by {@link AbstractValueGraph#equals(Object)}.
*/
@Override
boolean equals(@NullableDecl Object object);
/**
* Returns the hash code for this graph. The hash code of a graph is defined as the hash code of a
* map from each of its {@link #edges() edges} to the associated {@link #edgeValue(Object, Object)
* edge value}.
*
* <p>A reference implementation of this is provided by {@link AbstractValueGraph#hashCode()}.
*/
@Override
int hashCode();
}