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:
2018-10-08 12:56:59 +02:00
parent 745b171594
commit c498b2b0e2
5 changed files with 590 additions and 1 deletions

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@@ -228,6 +228,17 @@ public interface Graph<V, W extends Number> extends Iterable<V> {
*/
Set<Edge<V, W>> edges();
/**
* Retrieve all the edges from a particular vertex.<br>
* Note: the edges that is returned are the edges that goes IN this vertex AND the edges that goes OUT of it.
*
* @param vertex a vertex of the graph
* @return a set of edges
* @throws NullPointerException if the vertex is null
* @throws IllegalArgumentException if the vertex is not contained in the graph
*/
Set<Edge<V, W>> edgesOf(V vertex) throws NullPointerException, IllegalArgumentException;
/**
* Get all the vertices that are children of the vertex passed as parameter.<br>
* The vertices V(0-N) that are 'children' of a vertex V1, are all the vertices that have an edge

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@@ -0,0 +1,384 @@
package berack96.sim.util.graph;
import berack96.sim.util.graph.visit.Dijkstra;
import berack96.sim.util.graph.visit.Tarjan;
import berack96.sim.util.graph.visit.VisitStrategy;
import java.util.*;
import java.util.concurrent.atomic.AtomicInteger;
import java.util.function.Consumer;
/**
* Graph that uses HashMap for vertices and edges<br>
* More specifically it utilizes a Map containing all the vertices mapped to all their edges<br>
* Technically this version of the graph combine the fast adding/removing of the edges of the Matrix implementation,
* with the low memory and fast adding/removing of vertices of the Linked List implementation.<br>
* This happen if the HashMap is not reallocated. So in the end each operation of adding or removing has O(n)
*
* @param <V> the vertices
* @param <W> the weight of the edges
*/
public class MapGraph<V, W extends Number> implements Graph<V, W> {
/**
* Map that contains the edges from a vertex to another<br>
* The first vertex is the vertex where start the edge, the second one is where the edge goes<br>
* If an edge exist, then it's weight is returned
*/
private final Map<V, Map<V, W>> edges = new HashMap<>();
/**
* Need this variable for not calculating each time the SCC or the cyclic part if the graph doesn't change
*/
private Tarjan<V, W> tarjan = null;
/**
* Need this variable for not calculating each time the distance from a vertex to all his destinations if the graph doesn't change
*/
private Map<V, Dijkstra<V, W>> dijkstra = null;
@Override
public boolean isCyclic() {
return stronglyConnectedComponents().size() != numberOfVertices();
}
@Override
public boolean isDAG() {
return !isCyclic();
}
@Override
public void addVertex(V vertex) throws NullPointerException {
checkNull(vertex);
graphChanged();
edges.put(vertex, new HashMap<>());
}
@Override
public boolean addVertexIfAbsent(V vertex) throws NullPointerException {
if (contains(vertex))
return false;
addVertex(vertex);
return true;
}
@Override
public void addAllVertices(Set<V> vertices) throws NullPointerException {
checkNull(vertices);
vertices.forEach(this::addVertexIfAbsent);
}
@Override
public void removeVertex(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
graphChanged();
edges.remove(vertex);
edges.forEach((v, map) -> map.remove(vertex));
}
@Override
public void removeAllVertex() {
graphChanged();
edges.clear();
}
@Override
public boolean contains(V vertex) throws NullPointerException {
checkNull(vertex);
return edges.containsKey(vertex);
}
@Override
public W addEdge(V vertex1, V vertex2, W weight) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex1);
checkNullAndExist(vertex2);
checkNull(weight);
graphChanged();
return edges.get(vertex1).put(vertex2, weight);
}
@Override
public W addEdgeAndVertices(V vertex1, V vertex2, W weight) throws NullPointerException {
addVertexIfAbsent(vertex1);
addVertexIfAbsent(vertex2);
return addEdge(vertex1, vertex2, weight);
}
@Override
public void addAllEdges(Set<Edge<V, W>> edges) throws NullPointerException {
edges.forEach((edge) -> addEdgeAndVertices(edge.getSource(), edge.getDestination(), edge.getWeight()));
}
@Override
public W getWeight(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex1);
checkNullAndExist(vertex2);
return edges.get(vertex1).get(vertex2);
}
@Override
public void removeEdge(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex1);
checkNullAndExist(vertex2);
graphChanged();
edges.get(vertex1).remove(vertex2);
}
@Override
public void removeAllInEdge(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
graphChanged();
edges.forEach((v, map) -> map.remove(vertex));
}
@Override
public void removeAllOutEdge(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
graphChanged();
edges.put(vertex, new HashMap<>());
}
@Override
public void removeAllEdge(V vertex) throws NullPointerException, IllegalArgumentException {
removeVertex(vertex);
addVertex(vertex);
}
@Override
public void removeAllEdge() {
graphChanged();
edges.forEach((v, map) -> map.clear());
}
@Override
public boolean containsEdge(V vertex1, V vertex2) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex1);
checkNullAndExist(vertex2);
return edges.get(vertex1).get(vertex2) != null;
}
@Override
public Set<V> vertices() {
return new HashSet<>(edges.keySet());
}
@Override
public Set<Edge<V, W>> edges() {
Set<Edge<V, W>> allEdges = new HashSet<>();
edges.forEach((source, map) -> map.forEach((destination, weight) -> allEdges.add(new Edge<>(source, destination, weight))));
return allEdges;
}
@Override
public Set<Edge<V, W>> edgesOf(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
Set<Edge<V, W>> set = new HashSet<>();
edges.forEach((source, map) -> map.forEach((destination, weight) -> {
if (destination.equals(vertex) || source.equals(vertex))
set.add(new Edge<>(source, destination, weight));
}));
return set;
}
@Override
public Set<V> getChildren(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
return new HashSet<>(edges.get(vertex).keySet());
}
@Override
public Map<V, W> getChildrenAndWeight(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
return new HashMap<>(edges.get(vertex));
}
@Override
public Set<V> getAncestors(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
Set<V> set = new HashSet<>();
edges.forEach((v, map) -> {
if (map.containsKey(vertex)) set.add(v);
});
return set;
}
@Override
public int degreeIn(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
AtomicInteger sum = new AtomicInteger();
edges.forEach((v, map) -> {
if (map.containsKey(vertex))
sum.getAndIncrement();
});
return sum.get();
}
@Override
public int degreeOut(V vertex) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(vertex);
return edges.get(vertex).size();
}
@Override
public int degree(V vertex) throws NullPointerException, IllegalArgumentException {
return degreeIn(vertex) + degreeOut(vertex);
}
@Override
public int numberOfVertices() {
return edges.size();
}
@Override
public int numberOfEdges() {
AtomicInteger sum = new AtomicInteger(0);
edges.forEach((v, map) -> sum.getAndAdd(map.size()));
return sum.get();
}
@Override
public void visit(V source, VisitStrategy<V, W> strategy, Consumer<V> visit) throws NullPointerException, IllegalArgumentException {
strategy.visit(this, source, visit);
}
@Override
public Graph<V, W> transpose() {
Graph<V, W> graph = new MapGraph<>();
for (V vertex : edges.keySet())
graph.addVertex(vertex);
edges.forEach((source, map) -> map.forEach((destination, weight) -> graph.addEdge(destination, source, weight)));
return graph;
}
@Override
public List<V> topologicalSort() throws UnsupportedOperationException {
if (!isDAG())
throw new UnsupportedOperationException(NOT_DAG);
return getTarjan().getTopologicalSort();
}
@Override
public Set<Set<V>> stronglyConnectedComponents() {
return getTarjan().getSCC();
}
@Override
public Graph<V, W> subGraph(V source, int depth) throws NullPointerException, IllegalArgumentException {
Graph<V, W> sub = new MapGraph<>();
Set<V> vertices = new HashSet<>();
int finalDepth = depth > 0 ? depth : 0;
VisitStrategy<V, W> strategy = (graph, sourceVertex, visit) -> {
int currentDepth = 0;
final LinkedList<Map.Entry<V, Integer>> toVisitChildren = new LinkedList<>();
toVisitChildren.add(new AbstractMap.SimpleEntry<>(sourceVertex, 0));
vertices.add(source);
while (!toVisitChildren.isEmpty() && currentDepth + 1 <= finalDepth) {
final Map.Entry<V, Integer> current = toVisitChildren.removeFirst();
currentDepth = current.getValue() + 1;
final int finalCurrentDepth = currentDepth;
for (V child : graph.getChildren(current.getKey()))
if (!vertices.contains(child)) {
toVisitChildren.addLast(new AbstractMap.SimpleEntry<>(child, finalCurrentDepth));
vertices.add(child);
}
}
};
strategy.visit(this, source, null);
sub.addAllVertices(vertices);
for (V vertex : vertices)
getChildrenAndWeight(vertex).forEach((child, weight) -> {
try {
sub.addEdge(vertex, child, weight);
} catch (Exception ignored) {
}
});
return sub;
}
@Override
public List<Edge<V, W>> distance(V source, V destination) throws NullPointerException, IllegalArgumentException, UnsupportedOperationException {
checkNullAndExist(source);
checkNullAndExist(destination);
Dijkstra<V, W> dijkstra = getDijkstra(source);
List<Edge<V, W>> path = dijkstra.getLastDistance().get(destination);
if (path == null)
throw new UnsupportedOperationException(NOT_CONNECTED);
return new ArrayList<>(path);
}
@Override
public Map<V, List<Edge<V, W>>> distance(V source) throws NullPointerException, IllegalArgumentException {
checkNullAndExist(source);
return new HashMap<>(getDijkstra(source).getLastDistance());
}
@Override
public Iterator<V> iterator() {
return edges.keySet().iterator();
}
/**
* Simple function that set all the memory vars at null if the graph changed
*/
private void graphChanged() {
tarjan = null;
dijkstra = null;
}
private Dijkstra<V, W> getDijkstra(V source) {
if (dijkstra == null)
dijkstra = new HashMap<>();
if (dijkstra.get(source) == null) {
Dijkstra<V, W> newDijkstra = new Dijkstra<>();
newDijkstra.visit(this, source, null);
dijkstra.put(source, newDijkstra);
}
return dijkstra.get(source);
}
private Tarjan<V, W> getTarjan() {
if (tarjan == null) {
tarjan = new Tarjan<>();
tarjan.visit(this, null, null);
}
return tarjan;
}
private void checkNull(Object object) {
if (object == null)
throw new NullPointerException(PARAM_NULL);
}
private void checkNullAndExist(V vertex) {
checkNull(vertex);
if (!edges.containsKey(vertex))
throw new IllegalArgumentException(VERTEX_NOT_CONTAINED);
}
}

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@@ -0,0 +1,89 @@
package berack96.sim.util.graph.visit;
import berack96.sim.util.graph.Graph;
import java.util.*;
import java.util.function.Consumer;
public class Dijkstra<V, W extends Number> implements VisitStrategy<V, W> {
private Map<V, List<Graph.Edge<V, W>>> distance;
/**
* Get the last calculated distance to all the possible destinations<br>
* The map contains all the possible vertices that are reachable from the source set in the visit<br>
* If there is no path between the destination and the source, then null is returned as accordingly to the map interface<br>
* If the visit is not already been done, then the map is null.
*
* @return the last distance
*/
public Map<V, List<Graph.Edge<V, W>>> getLastDistance() {
return distance;
}
@Override
public void visit(Graph<V, W> graph, V source, Consumer<V> visit) throws NullPointerException, IllegalArgumentException {
Queue<QueueEntry<V, Integer>> queue = new PriorityQueue<>();
Map<V, Integer> dist = new HashMap<>();
Map<V, V> prev = new HashMap<>();
dist.put(source, 0); // Initialization
queue.add(new QueueEntry<>(source, 0));
while (!queue.isEmpty()) { // The main loop
QueueEntry<V, Integer> u = queue.poll(); // Remove and return best vertex
graph.getChildrenAndWeight(u.entry).forEach((vertex, weight) -> {
int alt = dist.get(u.entry) + weight.intValue();
Integer distCurrent = dist.get(vertex);
if (distCurrent == null || alt < distCurrent) {
dist.put(vertex, alt);
prev.put(vertex, u.entry);
QueueEntry<V, Integer> current = new QueueEntry<>(vertex, alt);
queue.remove(current);
queue.add(current);
}
});
}
/* Cleaning up the results */
distance = new HashMap<>();
for (V vertex : prev.keySet()) {
List<Graph.Edge<V, W>> path = new LinkedList<>();
V child = vertex;
V father = prev.get(child);
do {
Graph.Edge<V, W> edge = new Graph.Edge<>(father, child, graph.getWeight(father, child));
path.add(0, edge);
child = father;
father = prev.get(child);
} while (father != null);
distance.put(vertex, new ArrayList<>(path));
}
}
private class QueueEntry<V, W extends Number> implements Comparable<QueueEntry> {
final V entry;
final W weight;
QueueEntry(V entry, W weight) {
this.entry = entry;
this.weight = weight;
}
@Override
public boolean equals(Object obj) {
try {
return ((QueueEntry) obj).entry.equals(entry);
} catch (Exception e) {
return false;
}
}
@Override
public int compareTo(QueueEntry queueEntry) {
return this.weight.intValue() - queueEntry.weight.intValue();
}
}
}

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@@ -0,0 +1,96 @@
package berack96.sim.util.graph.visit;
import berack96.sim.util.graph.Graph;
import java.util.*;
import java.util.function.Consumer;
public class Tarjan<V, W extends Number> implements VisitStrategy<V, W> {
private Set<Set<V>> SCC = null;
private List<V> topologicalSort = null;
private Map<V, Integer> indices = null;
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);
}
}
}

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@@ -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