Graph Implemented
- added a new method in graph interface - added method in the test - graph implemented and pass all the tests
This commit is contained in:
@@ -228,6 +228,17 @@ public interface Graph<V, W extends Number> extends Iterable<V> {
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*/
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Set<Edge<V, W>> edges();
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/**
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* Retrieve all the edges from a particular vertex.<br>
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* Note: the edges that is returned are the edges that goes IN this vertex AND the edges that goes OUT of it.
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*
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* @param vertex a vertex of the graph
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* @return a set of edges
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* @throws NullPointerException if the vertex is null
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* @throws IllegalArgumentException if the vertex is not contained in the graph
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*/
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Set<Edge<V, W>> edgesOf(V vertex) throws NullPointerException, IllegalArgumentException;
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/**
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* Get all the vertices that are children of the vertex passed as parameter.<br>
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* The vertices V(0-N) that are 'children' of a vertex V1, are all the vertices that have an edge
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384
src/berack96/sim/util/graph/MapGraph.java
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384
src/berack96/sim/util/graph/MapGraph.java
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@@ -0,0 +1,384 @@
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package berack96.sim.util.graph;
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import berack96.sim.util.graph.visit.Dijkstra;
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import berack96.sim.util.graph.visit.Tarjan;
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import berack96.sim.util.graph.visit.VisitStrategy;
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import java.util.*;
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import java.util.concurrent.atomic.AtomicInteger;
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import java.util.function.Consumer;
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/**
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* Graph that uses HashMap for vertices and edges<br>
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* More specifically it utilizes a Map containing all the vertices mapped to all their edges<br>
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* Technically this version of the graph combine the fast adding/removing of the edges of the Matrix implementation,
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* with the low memory and fast adding/removing of vertices of the Linked List implementation.<br>
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* This happen if the HashMap is not reallocated. So in the end each operation of adding or removing has O(n)
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*
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* @param <V> the vertices
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* @param <W> the weight of the edges
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*/
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public class MapGraph<V, W extends Number> implements Graph<V, W> {
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/**
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* Map that contains the edges from a vertex to another<br>
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* The first vertex is the vertex where start the edge, the second one is where the edge goes<br>
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* If an edge exist, then it's weight is returned
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*/
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private final Map<V, Map<V, W>> edges = new HashMap<>();
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/**
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* Need this variable for not calculating each time the SCC or the cyclic part if the graph doesn't change
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*/
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private Tarjan<V, W> tarjan = null;
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/**
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* Need this variable for not calculating each time the distance from a vertex to all his destinations if the graph doesn't change
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*/
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private Map<V, Dijkstra<V, W>> dijkstra = null;
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@Override
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public boolean isCyclic() {
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return stronglyConnectedComponents().size() != numberOfVertices();
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}
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@Override
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public boolean isDAG() {
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return !isCyclic();
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}
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@Override
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public void addVertex(V vertex) throws NullPointerException {
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checkNull(vertex);
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graphChanged();
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edges.put(vertex, new HashMap<>());
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}
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@Override
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public boolean addVertexIfAbsent(V vertex) throws NullPointerException {
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if (contains(vertex))
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return false;
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addVertex(vertex);
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return true;
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}
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@Override
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public void addAllVertices(Set<V> vertices) throws NullPointerException {
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checkNull(vertices);
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vertices.forEach(this::addVertexIfAbsent);
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}
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@Override
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public void removeVertex(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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graphChanged();
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edges.remove(vertex);
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edges.forEach((v, map) -> map.remove(vertex));
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}
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@Override
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public void removeAllVertex() {
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graphChanged();
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edges.clear();
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}
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@Override
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public boolean contains(V vertex) throws NullPointerException {
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checkNull(vertex);
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return edges.containsKey(vertex);
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}
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@Override
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public W addEdge(V vertex1, V vertex2, W weight) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex1);
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checkNullAndExist(vertex2);
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checkNull(weight);
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graphChanged();
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return edges.get(vertex1).put(vertex2, weight);
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}
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@Override
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public W addEdgeAndVertices(V vertex1, V vertex2, W weight) throws NullPointerException {
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addVertexIfAbsent(vertex1);
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addVertexIfAbsent(vertex2);
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return addEdge(vertex1, vertex2, weight);
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}
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@Override
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public void addAllEdges(Set<Edge<V, W>> edges) throws NullPointerException {
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edges.forEach((edge) -> addEdgeAndVertices(edge.getSource(), edge.getDestination(), edge.getWeight()));
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}
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@Override
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public W getWeight(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex1);
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checkNullAndExist(vertex2);
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return edges.get(vertex1).get(vertex2);
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}
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@Override
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public void removeEdge(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex1);
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checkNullAndExist(vertex2);
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graphChanged();
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edges.get(vertex1).remove(vertex2);
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}
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@Override
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public void removeAllInEdge(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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graphChanged();
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edges.forEach((v, map) -> map.remove(vertex));
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}
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@Override
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public void removeAllOutEdge(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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graphChanged();
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edges.put(vertex, new HashMap<>());
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}
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@Override
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public void removeAllEdge(V vertex) throws NullPointerException, IllegalArgumentException {
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removeVertex(vertex);
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addVertex(vertex);
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}
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@Override
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public void removeAllEdge() {
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graphChanged();
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edges.forEach((v, map) -> map.clear());
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}
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@Override
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public boolean containsEdge(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex1);
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checkNullAndExist(vertex2);
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return edges.get(vertex1).get(vertex2) != null;
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}
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@Override
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public Set<V> vertices() {
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return new HashSet<>(edges.keySet());
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}
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@Override
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public Set<Edge<V, W>> edges() {
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Set<Edge<V, W>> allEdges = new HashSet<>();
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edges.forEach((source, map) -> map.forEach((destination, weight) -> allEdges.add(new Edge<>(source, destination, weight))));
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return allEdges;
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}
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@Override
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public Set<Edge<V, W>> edgesOf(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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Set<Edge<V, W>> set = new HashSet<>();
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edges.forEach((source, map) -> map.forEach((destination, weight) -> {
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if (destination.equals(vertex) || source.equals(vertex))
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set.add(new Edge<>(source, destination, weight));
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}));
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return set;
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}
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@Override
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public Set<V> getChildren(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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return new HashSet<>(edges.get(vertex).keySet());
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}
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@Override
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public Map<V, W> getChildrenAndWeight(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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return new HashMap<>(edges.get(vertex));
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}
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@Override
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public Set<V> getAncestors(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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Set<V> set = new HashSet<>();
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edges.forEach((v, map) -> {
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if (map.containsKey(vertex)) set.add(v);
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});
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return set;
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}
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@Override
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public int degreeIn(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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AtomicInteger sum = new AtomicInteger();
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edges.forEach((v, map) -> {
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if (map.containsKey(vertex))
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sum.getAndIncrement();
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});
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return sum.get();
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}
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@Override
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public int degreeOut(V vertex) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(vertex);
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return edges.get(vertex).size();
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}
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@Override
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public int degree(V vertex) throws NullPointerException, IllegalArgumentException {
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return degreeIn(vertex) + degreeOut(vertex);
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}
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@Override
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public int numberOfVertices() {
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return edges.size();
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}
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@Override
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public int numberOfEdges() {
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AtomicInteger sum = new AtomicInteger(0);
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edges.forEach((v, map) -> sum.getAndAdd(map.size()));
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return sum.get();
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}
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@Override
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public void visit(V source, VisitStrategy<V, W> strategy, Consumer<V> visit) throws NullPointerException, IllegalArgumentException {
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strategy.visit(this, source, visit);
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}
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@Override
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public Graph<V, W> transpose() {
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Graph<V, W> graph = new MapGraph<>();
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for (V vertex : edges.keySet())
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graph.addVertex(vertex);
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edges.forEach((source, map) -> map.forEach((destination, weight) -> graph.addEdge(destination, source, weight)));
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return graph;
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}
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@Override
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public List<V> topologicalSort() throws UnsupportedOperationException {
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if (!isDAG())
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throw new UnsupportedOperationException(NOT_DAG);
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return getTarjan().getTopologicalSort();
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}
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@Override
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public Set<Set<V>> stronglyConnectedComponents() {
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return getTarjan().getSCC();
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}
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@Override
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public Graph<V, W> subGraph(V source, int depth) throws NullPointerException, IllegalArgumentException {
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Graph<V, W> sub = new MapGraph<>();
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Set<V> vertices = new HashSet<>();
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int finalDepth = depth > 0 ? depth : 0;
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VisitStrategy<V, W> strategy = (graph, sourceVertex, visit) -> {
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int currentDepth = 0;
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final LinkedList<Map.Entry<V, Integer>> toVisitChildren = new LinkedList<>();
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toVisitChildren.add(new AbstractMap.SimpleEntry<>(sourceVertex, 0));
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vertices.add(source);
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while (!toVisitChildren.isEmpty() && currentDepth + 1 <= finalDepth) {
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final Map.Entry<V, Integer> current = toVisitChildren.removeFirst();
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currentDepth = current.getValue() + 1;
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final int finalCurrentDepth = currentDepth;
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for (V child : graph.getChildren(current.getKey()))
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if (!vertices.contains(child)) {
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toVisitChildren.addLast(new AbstractMap.SimpleEntry<>(child, finalCurrentDepth));
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vertices.add(child);
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}
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}
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};
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strategy.visit(this, source, null);
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sub.addAllVertices(vertices);
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for (V vertex : vertices)
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getChildrenAndWeight(vertex).forEach((child, weight) -> {
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try {
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sub.addEdge(vertex, child, weight);
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} catch (Exception ignored) {
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}
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});
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return sub;
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}
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@Override
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public List<Edge<V, W>> distance(V source, V destination) throws NullPointerException, IllegalArgumentException, UnsupportedOperationException {
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checkNullAndExist(source);
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checkNullAndExist(destination);
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Dijkstra<V, W> dijkstra = getDijkstra(source);
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List<Edge<V, W>> path = dijkstra.getLastDistance().get(destination);
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if (path == null)
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throw new UnsupportedOperationException(NOT_CONNECTED);
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return new ArrayList<>(path);
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}
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@Override
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public Map<V, List<Edge<V, W>>> distance(V source) throws NullPointerException, IllegalArgumentException {
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checkNullAndExist(source);
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return new HashMap<>(getDijkstra(source).getLastDistance());
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}
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@Override
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public Iterator<V> iterator() {
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return edges.keySet().iterator();
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}
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/**
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* Simple function that set all the memory vars at null if the graph changed
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*/
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private void graphChanged() {
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tarjan = null;
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dijkstra = null;
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}
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private Dijkstra<V, W> getDijkstra(V source) {
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if (dijkstra == null)
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dijkstra = new HashMap<>();
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if (dijkstra.get(source) == null) {
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Dijkstra<V, W> newDijkstra = new Dijkstra<>();
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newDijkstra.visit(this, source, null);
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dijkstra.put(source, newDijkstra);
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}
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return dijkstra.get(source);
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}
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private Tarjan<V, W> getTarjan() {
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if (tarjan == null) {
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tarjan = new Tarjan<>();
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tarjan.visit(this, null, null);
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}
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return tarjan;
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}
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private void checkNull(Object object) {
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if (object == null)
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throw new NullPointerException(PARAM_NULL);
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}
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private void checkNullAndExist(V vertex) {
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checkNull(vertex);
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if (!edges.containsKey(vertex))
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throw new IllegalArgumentException(VERTEX_NOT_CONTAINED);
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}
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}
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89
src/berack96/sim/util/graph/visit/Dijkstra.java
Normal file
89
src/berack96/sim/util/graph/visit/Dijkstra.java
Normal file
@@ -0,0 +1,89 @@
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package berack96.sim.util.graph.visit;
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import berack96.sim.util.graph.Graph;
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import java.util.*;
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import java.util.function.Consumer;
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public class Dijkstra<V, W extends Number> implements VisitStrategy<V, W> {
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private Map<V, List<Graph.Edge<V, W>>> distance;
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/**
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* Get the last calculated distance to all the possible destinations<br>
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* The map contains all the possible vertices that are reachable from the source set in the visit<br>
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* If there is no path between the destination and the source, then null is returned as accordingly to the map interface<br>
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* If the visit is not already been done, then the map is null.
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*
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* @return the last distance
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*/
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public Map<V, List<Graph.Edge<V, W>>> getLastDistance() {
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return distance;
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}
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@Override
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public void visit(Graph<V, W> graph, V source, Consumer<V> visit) throws NullPointerException, IllegalArgumentException {
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Queue<QueueEntry<V, Integer>> queue = new PriorityQueue<>();
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Map<V, Integer> dist = new HashMap<>();
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Map<V, V> prev = new HashMap<>();
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dist.put(source, 0); // Initialization
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queue.add(new QueueEntry<>(source, 0));
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while (!queue.isEmpty()) { // The main loop
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QueueEntry<V, Integer> u = queue.poll(); // Remove and return best vertex
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graph.getChildrenAndWeight(u.entry).forEach((vertex, weight) -> {
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int alt = dist.get(u.entry) + weight.intValue();
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Integer distCurrent = dist.get(vertex);
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if (distCurrent == null || alt < distCurrent) {
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dist.put(vertex, alt);
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prev.put(vertex, u.entry);
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QueueEntry<V, Integer> current = new QueueEntry<>(vertex, alt);
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queue.remove(current);
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queue.add(current);
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}
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});
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}
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/* Cleaning up the results */
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distance = new HashMap<>();
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for (V vertex : prev.keySet()) {
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List<Graph.Edge<V, W>> path = new LinkedList<>();
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V child = vertex;
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V father = prev.get(child);
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do {
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Graph.Edge<V, W> edge = new Graph.Edge<>(father, child, graph.getWeight(father, child));
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path.add(0, edge);
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child = father;
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father = prev.get(child);
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} while (father != null);
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distance.put(vertex, new ArrayList<>(path));
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}
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}
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private class QueueEntry<V, W extends Number> implements Comparable<QueueEntry> {
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final V entry;
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final W weight;
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QueueEntry(V entry, W weight) {
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this.entry = entry;
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this.weight = weight;
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}
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@Override
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public boolean equals(Object obj) {
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try {
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return ((QueueEntry) obj).entry.equals(entry);
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} catch (Exception e) {
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return false;
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}
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}
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@Override
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public int compareTo(QueueEntry queueEntry) {
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return this.weight.intValue() - queueEntry.weight.intValue();
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}
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}
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}
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96
src/berack96/sim/util/graph/visit/Tarjan.java
Normal file
96
src/berack96/sim/util/graph/visit/Tarjan.java
Normal file
@@ -0,0 +1,96 @@
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package berack96.sim.util.graph.visit;
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import berack96.sim.util.graph.Graph;
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import java.util.*;
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import java.util.function.Consumer;
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public class Tarjan<V, W extends Number> implements VisitStrategy<V, W> {
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private Set<Set<V>> SCC = null;
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private List<V> topologicalSort = null;
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private Map<V, Integer> indices = null;
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private Map<V, Integer> lowLink = null;
|
||||
private Stack<V> stack = null;
|
||||
|
||||
/**
|
||||
* Return the latest calculated strongly connected components of the graph.
|
||||
*
|
||||
* @return the latest SCC
|
||||
*/
|
||||
public Set<Set<V>> getSCC() {
|
||||
return SCC;
|
||||
}
|
||||
|
||||
/**
|
||||
* Return the latest calculated Topological sort of the graph.<br>
|
||||
* If the latest visited graph is not a DAG, it will return null.
|
||||
*
|
||||
* @return the topological order of the DAG
|
||||
*/
|
||||
public List<V> getTopologicalSort() {
|
||||
return topologicalSort;
|
||||
}
|
||||
|
||||
/**
|
||||
* This particular visit strategy use only the graph, so the other parameters are useless.
|
||||
*
|
||||
* @param graph the graph to visit
|
||||
* @param source the source of the visit
|
||||
* @param visit the function to apply at each vertex when they are visited
|
||||
* @throws NullPointerException if the graph is null
|
||||
* @throws IllegalArgumentException doesn't throw this
|
||||
*/
|
||||
@Override
|
||||
public void visit(Graph<V, W> graph, V source, Consumer<V> visit) throws NullPointerException, IllegalArgumentException {
|
||||
SCC = new HashSet<>();
|
||||
topologicalSort = new LinkedList<>();
|
||||
|
||||
indices = new HashMap<>();
|
||||
lowLink = new HashMap<>();
|
||||
stack = new Stack<>();
|
||||
Integer index = 0;
|
||||
|
||||
for (V vertex : graph)
|
||||
if (!indices.containsKey(vertex))
|
||||
strongConnect(graph, vertex, index);
|
||||
|
||||
topologicalSort = (graph.numberOfVertices() == SCC.size()) ? new ArrayList<>(topologicalSort) : null;
|
||||
}
|
||||
|
||||
private void strongConnect(Graph<V, W> graph, V vertex, Integer index) {
|
||||
// Set the depth index for v to the smallest unused index
|
||||
indices.put(vertex, index);
|
||||
lowLink.put(vertex, index);
|
||||
index++;
|
||||
stack.push(vertex);
|
||||
|
||||
// Consider successors of v
|
||||
for (V child : graph.getChildren(vertex)) {
|
||||
if (!indices.containsKey(child)) {
|
||||
strongConnect(graph, child, index);
|
||||
lowLink.put(vertex, Math.min(lowLink.get(vertex), lowLink.get(child)));
|
||||
} else if (stack.contains(child)) {
|
||||
// Successor w is in stack S and hence in the current SCC
|
||||
// If w is not on stack, then (v, w) is a cross-edge in the DFS tree and must be ignored
|
||||
// Note: The next line may look odd - but is correct.
|
||||
// It says w.index not w.lowlink; that is deliberate and from the original paper
|
||||
lowLink.put(vertex, Math.min(lowLink.get(vertex), indices.get(child)));
|
||||
}
|
||||
}
|
||||
|
||||
// If v is a root node, pop the stack and generate an SCC
|
||||
if (lowLink.get(vertex).equals(indices.get(vertex))) {
|
||||
Set<V> newComponent = new HashSet<>();
|
||||
V temp;
|
||||
do {
|
||||
temp = stack.pop();
|
||||
topologicalSort.add(0, temp);
|
||||
newComponent.add(temp);
|
||||
} while (!temp.equals(vertex));
|
||||
|
||||
SCC.add(newComponent);
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -1,6 +1,7 @@
|
||||
package berack96.test.sim;
|
||||
|
||||
import berack96.sim.util.graph.Graph;
|
||||
import berack96.sim.util.graph.MapGraph;
|
||||
import berack96.sim.util.graph.visit.BFS;
|
||||
import berack96.sim.util.graph.visit.DFS;
|
||||
import berack96.sim.util.graph.visit.VisitStrategy;
|
||||
@@ -21,7 +22,7 @@ public class TestGraph {
|
||||
@Before
|
||||
public void before() {
|
||||
// Change here the instance for changing all the test for that particular class
|
||||
graph = null;
|
||||
graph = new MapGraph<>();
|
||||
}
|
||||
|
||||
@Test
|
||||
@@ -312,6 +313,14 @@ public class TestGraph {
|
||||
new Graph.Edge<>("4", "6", 6),
|
||||
new Graph.Edge<>("5", "3", 9),
|
||||
new Graph.Edge<>("5", "4", 5));
|
||||
|
||||
shouldThrow(nullException, () -> graph.edgesOf(null));
|
||||
shouldThrow(notException, () -> graph.edgesOf("rew"));
|
||||
shouldContain(graph.edgesOf("5"),
|
||||
new Graph.Edge<>("2", "5", 4),
|
||||
new Graph.Edge<>("3", "5", 2),
|
||||
new Graph.Edge<>("5", "3", 9),
|
||||
new Graph.Edge<>("5", "4", 5));
|
||||
}
|
||||
|
||||
@Test
|
||||
|
||||
Reference in New Issue
Block a user