ONOS-745 Refactoring topology to compute only broadcast tree and not pre-compute paths.
ONOS-744 Refactoring graph search to allow requesting max number of paths.

Change-Id: I28467246b92df32ebb3155c45774ecc051fdd3dd
diff --git a/utils/misc/src/main/java/org/onlab/graph/AbstractGraphPathSearch.java b/utils/misc/src/main/java/org/onlab/graph/AbstractGraphPathSearch.java
index 6541ad3..9554be1 100644
--- a/utils/misc/src/main/java/org/onlab/graph/AbstractGraphPathSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/AbstractGraphPathSearch.java
@@ -65,17 +65,31 @@
         protected final Set<Path<V, E>> paths = new HashSet<>();
         protected final Map<V, Double> costs = new HashMap<>();
         protected final Map<V, Set<E>> parents = new HashMap<>();
+        protected final int maxPaths;
 
         /**
-         * Creates the result of path search.
+         * Creates the result of a single-path search.
          *
          * @param src path source
          * @param dst optional path destination
          */
         public DefaultResult(V src, V dst) {
+            this(src, dst, 1);
+        }
+
+        /**
+         * Creates the result of path search.
+         *
+         * @param src      path source
+         * @param dst      optional path destination
+         * @param maxPaths optional limit of number of paths;
+         *                 {@link GraphPathSearch#ALL_PATHS} if no limit
+         */
+        public DefaultResult(V src, V dst, int maxPaths) {
             checkNotNull(src, "Source cannot be null");
             this.src = src;
             this.dst = dst;
+            this.maxPaths = maxPaths;
         }
 
         @Override
@@ -126,7 +140,8 @@
 
         /**
          * Updates the cost of the vertex using its existing cost plus the
-         * cost to traverse the specified edge.
+         * cost to traverse the specified edge. If the search is in single
+         * path mode, only one path will be accrued.
          *
          * @param vertex  vertex to update
          * @param edge    edge through which vertex is reached
@@ -147,7 +162,9 @@
                 if (replace) {
                     edges.clear();
                 }
-                edges.add(edge);
+                if (maxPaths == ALL_PATHS || edges.size() < maxPaths) {
+                    edges.add(edge);
+                }
             }
         }
 
@@ -203,7 +220,7 @@
             for (V v : destinations) {
                 // Ignore the source, if it is among the destinations.
                 if (!v.equals(src)) {
-                    buildAllPaths(this, src, v);
+                    buildAllPaths(this, src, v, maxPaths);
                 }
             }
         }
@@ -215,18 +232,21 @@
      * graph search result by applying breadth-first search through the parent
      * edges and vertex costs.
      *
-     * @param result graph search result
-     * @param src    source vertex
-     * @param dst    destination vertex
+     * @param result   graph search result
+     * @param src      source vertex
+     * @param dst      destination vertex
+     * @param maxPaths limit on the number of paths built;
+     *                 {@link GraphPathSearch#ALL_PATHS} if no limit
      */
-    private void buildAllPaths(DefaultResult result, V src, V dst) {
+    private void buildAllPaths(DefaultResult result, V src, V dst, int maxPaths) {
         DefaultMutablePath<V, E> basePath = new DefaultMutablePath<>();
         basePath.setCost(result.cost(dst));
 
         Set<DefaultMutablePath<V, E>> pendingPaths = new HashSet<>();
         pendingPaths.add(basePath);
 
-        while (!pendingPaths.isEmpty()) {
+        while (!pendingPaths.isEmpty() &&
+                (maxPaths == ALL_PATHS || result.paths.size() < maxPaths)) {
             Set<DefaultMutablePath<V, E>> frontier = new HashSet<>();
 
             for (DefaultMutablePath<V, E> path : pendingPaths) {
diff --git a/utils/misc/src/main/java/org/onlab/graph/BellmanFordGraphSearch.java b/utils/misc/src/main/java/org/onlab/graph/BellmanFordGraphSearch.java
index caf8019..39e39e8 100644
--- a/utils/misc/src/main/java/org/onlab/graph/BellmanFordGraphSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/BellmanFordGraphSearch.java
@@ -24,11 +24,11 @@
 
     @Override
     public Result<V, E> search(Graph<V, E> graph, V src, V dst,
-                               EdgeWeight<V, E> weight) {
+                               EdgeWeight<V, E> weight, int maxPaths) {
         checkArguments(graph, src, dst);
 
         // Prepare the graph search result.
-        DefaultResult result = new DefaultResult(src, dst);
+        DefaultResult result = new DefaultResult(src, dst, maxPaths);
 
         // The source vertex has cost 0, of course.
         result.updateVertex(src, null, 0.0, true);
diff --git a/utils/misc/src/main/java/org/onlab/graph/BreadthFirstSearch.java b/utils/misc/src/main/java/org/onlab/graph/BreadthFirstSearch.java
index f5c60db..588b0fe 100644
--- a/utils/misc/src/main/java/org/onlab/graph/BreadthFirstSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/BreadthFirstSearch.java
@@ -26,11 +26,11 @@
 
     @Override
     public Result<V, E> search(Graph<V, E> graph, V src, V dst,
-                               EdgeWeight<V, E> weight) {
+                               EdgeWeight<V, E> weight, int maxPaths) {
         checkArguments(graph, src, dst);
 
         // Prepare the graph result.
-        DefaultResult result = new DefaultResult(src, dst);
+        DefaultResult result = new DefaultResult(src, dst, maxPaths);
 
         // Setup the starting frontier with the source as the sole vertex.
         Set<V> frontier = new HashSet<>();
diff --git a/utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java b/utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java
index e61a9c1..f839fff 100644
--- a/utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/DepthFirstSearch.java
@@ -36,11 +36,11 @@
 
     @Override
     public SpanningTreeResult search(Graph<V, E> graph, V src, V dst,
-                                     EdgeWeight<V, E> weight) {
+                                     EdgeWeight<V, E> weight, int maxPaths) {
         checkArguments(graph, src, dst);
 
         // Prepare the search result.
-        SpanningTreeResult result = new SpanningTreeResult(src, dst);
+        SpanningTreeResult result = new SpanningTreeResult(src, dst, maxPaths);
 
         // The source vertex has cost 0, of course.
         result.updateVertex(src, null, 0.0, true);
@@ -141,11 +141,12 @@
         /**
          * Creates a new spanning tree result.
          *
-         * @param src search source
-         * @param dst optional search destination
+         * @param src      search source
+         * @param dst      optional search destination
+         * @param maxPaths limit on the number of paths
          */
-        public SpanningTreeResult(V src, V dst) {
-            super(src, dst);
+        public SpanningTreeResult(V src, V dst, int maxPaths) {
+            super(src, dst, maxPaths);
         }
 
         /**
diff --git a/utils/misc/src/main/java/org/onlab/graph/DijkstraGraphSearch.java b/utils/misc/src/main/java/org/onlab/graph/DijkstraGraphSearch.java
index eada84c..53d211a 100644
--- a/utils/misc/src/main/java/org/onlab/graph/DijkstraGraphSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/DijkstraGraphSearch.java
@@ -28,12 +28,12 @@
 
     @Override
     public Result<V, E> search(Graph<V, E> graph, V src, V dst,
-                               EdgeWeight<V, E> weight) {
+                               EdgeWeight<V, E> weight, int maxPaths) {
         checkArguments(graph, src, dst);
 
         // Use the default result to remember cumulative costs and parent
         // edges to each each respective vertex.
-        DefaultResult result = new DefaultResult(src, dst);
+        DefaultResult result = new DefaultResult(src, dst, maxPaths);
 
         // Cost to reach the source vertex is 0 of course.
         result.updateVertex(src, null, 0.0, false);
diff --git a/utils/misc/src/main/java/org/onlab/graph/GraphPathSearch.java b/utils/misc/src/main/java/org/onlab/graph/GraphPathSearch.java
index b838421..f869a02 100644
--- a/utils/misc/src/main/java/org/onlab/graph/GraphPathSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/GraphPathSearch.java
@@ -26,6 +26,8 @@
  */
 public interface GraphPathSearch<V extends Vertex, E extends Edge<V>> {
 
+    public static int ALL_PATHS = -1;
+
     /**
      * Abstraction of a path search result.
      */
@@ -68,16 +70,18 @@
     }
 
     /**
-     * Searches the specified graph.
+     * Searches the specified graph for paths between vertices.
      *
-     * @param graph  graph to be searched
-     * @param src    optional source vertex
-     * @param dst    optional destination vertex; if null paths to all vertex
-     *               destinations will be searched
-     * @param weight optional edge-weight; if null cost of each edge will be
-     *               assumed to be 1.0
+     * @param graph    graph to be searched
+     * @param src      optional source vertex
+     * @param dst      optional destination vertex; if null paths to all vertex
+     *                 destinations will be searched
+     * @param weight   optional edge-weight; if null cost of each edge will be
+     *                 assumed to be 1.0
+     * @param maxPaths limit on number of paths; {@link GraphPathSearch#ALL_PATHS} if no limit
      * @return search results
      */
-    Result<V, E> search(Graph<V, E> graph, V src, V dst, EdgeWeight<V, E> weight);
+    Result<V, E> search(Graph<V, E> graph, V src, V dst,
+                        EdgeWeight<V, E> weight, int maxPaths);
 
 }
diff --git a/utils/misc/src/main/java/org/onlab/graph/KshortestPathSearch.java b/utils/misc/src/main/java/org/onlab/graph/KshortestPathSearch.java
index 86f29ef..db8402d 100644
--- a/utils/misc/src/main/java/org/onlab/graph/KshortestPathSearch.java
+++ b/utils/misc/src/main/java/org/onlab/graph/KshortestPathSearch.java
@@ -23,6 +23,8 @@
 //import java.util.PriorityQueue;
 import java.util.Set;
 
+import static org.onlab.graph.GraphPathSearch.ALL_PATHS;
+
 /**
  * K-shortest-path graph search algorithm capable of finding not just one,
  * but K shortest paths with ascending order between the source and destinations.
@@ -137,7 +139,7 @@
     private List<E> searchShortestPath(Graph<V, E> graph, V src, V dst) {
         // Determine the shortest path from the source to the destination by using the Dijkstra algorithm.
         DijkstraGraphSearch dijkstraAlg = new DijkstraGraphSearch();
-        Set<Path> paths =  dijkstraAlg.search(graph, src, dst, weight).paths();
+        Set<Path> paths =  dijkstraAlg.search(graph, src, dst, weight, ALL_PATHS).paths();
         Iterator<Path> itr = paths.iterator();
         if (!itr.hasNext()) {
             return null;
diff --git a/utils/misc/src/test/java/org/onlab/graph/AbstractGraphPathSearchTest.java b/utils/misc/src/test/java/org/onlab/graph/AbstractGraphPathSearchTest.java
index cf35f66..91204fc 100644
--- a/utils/misc/src/test/java/org/onlab/graph/AbstractGraphPathSearchTest.java
+++ b/utils/misc/src/test/java/org/onlab/graph/AbstractGraphPathSearchTest.java
@@ -36,19 +36,19 @@
     public void noSuchSourceArgument() {
         graphSearch().search(new AdjacencyListsGraph<>(of(B, C),
                                                        of(new TestEdge(B, C, 1))),
-                             A, H, weight);
+                             A, H, weight, 1);
     }
 
     @Test(expected = NullPointerException.class)
     public void nullGraphArgument() {
-        graphSearch().search(null, A, H, weight);
+        graphSearch().search(null, A, H, weight, 1);
     }
 
     @Test(expected = NullPointerException.class)
     public void nullSourceArgument() {
         graphSearch().search(new AdjacencyListsGraph<>(of(B, C),
                                                        of(new TestEdge(B, C, 1))),
-                             null, H, weight);
+                             null, H, weight, 1);
     }
 
     @Test
diff --git a/utils/misc/src/test/java/org/onlab/graph/BellmanFordGraphSearchTest.java b/utils/misc/src/test/java/org/onlab/graph/BellmanFordGraphSearchTest.java
index 4e9f5e6..9380054 100644
--- a/utils/misc/src/test/java/org/onlab/graph/BellmanFordGraphSearchTest.java
+++ b/utils/misc/src/test/java/org/onlab/graph/BellmanFordGraphSearchTest.java
@@ -21,6 +21,7 @@
 import java.util.Set;
 
 import static org.junit.Assert.assertEquals;
+import static org.onlab.graph.GraphPathSearch.ALL_PATHS;
 
 /**
  * Test of the Bellman-Ford algorithm.
@@ -56,7 +57,7 @@
         graph = new AdjacencyListsGraph<>(vertexes, edges);
 
         GraphPathSearch<TestVertex, TestEdge> search = graphSearch();
-        Set<Path<TestVertex, TestEdge>> paths = search.search(graph, A, H, weight).paths();
+        Set<Path<TestVertex, TestEdge>> paths = search.search(graph, A, H, weight, ALL_PATHS).paths();
         assertEquals("incorrect paths count", 1, paths.size());
 
         Path p = paths.iterator().next();
@@ -65,10 +66,10 @@
         assertEquals("incorrect path length", 5, p.edges().size());
         assertEquals("incorrect path cost", 5.0, p.cost(), 0.1);
 
-        paths = search.search(graph, A, G, weight).paths();
+        paths = search.search(graph, A, G, weight, ALL_PATHS).paths();
         assertEquals("incorrect paths count", 0, paths.size());
 
-        paths = search.search(graph, A, null, weight).paths();
+        paths = search.search(graph, A, null, weight, ALL_PATHS).paths();
         printPaths(paths);
         assertEquals("incorrect paths count", 6, paths.size());
     }
diff --git a/utils/misc/src/test/java/org/onlab/graph/BreadthFirstSearchTest.java b/utils/misc/src/test/java/org/onlab/graph/BreadthFirstSearchTest.java
index 96a77e6..76c0cc2 100644
--- a/utils/misc/src/test/java/org/onlab/graph/BreadthFirstSearchTest.java
+++ b/utils/misc/src/test/java/org/onlab/graph/BreadthFirstSearchTest.java
@@ -20,6 +20,7 @@
 import java.util.Set;
 
 import static org.junit.Assert.assertEquals;
+import static org.onlab.graph.GraphPathSearch.ALL_PATHS;
 
 /**
  * Test of the BFS and similar path search algorithms.
@@ -47,7 +48,8 @@
         graph = new AdjacencyListsGraph<>(vertexes(), edges());
 
         GraphPathSearch<TestVertex, TestEdge> search = graphSearch();
-        Set<Path<TestVertex, TestEdge>> paths = search.search(graph, A, H, weight).paths();
+        Set<Path<TestVertex, TestEdge>> paths =
+                search.search(graph, A, H, weight, ALL_PATHS).paths();
         assertEquals("incorrect paths count", 1, paths.size());
 
         Path p = paths.iterator().next();
@@ -56,7 +58,7 @@
         assertEquals("incorrect path length", pathLength, p.edges().size());
         assertEquals("incorrect path cost", pathCost, p.cost(), 0.1);
 
-        paths = search.search(graph, A, null, weight).paths();
+        paths = search.search(graph, A, null, weight, ALL_PATHS).paths();
         printPaths(paths);
         assertEquals("incorrect paths count", pathCount, paths.size());
     }
@@ -68,7 +70,7 @@
                                  EdgeWeight<TestVertex, TestEdge> weight,
                                  int pathCount, double pathCost) {
         GraphPathSearch.Result<TestVertex, TestEdge> result =
-                search.search(graph, src, dst, weight);
+                search.search(graph, src, dst, weight, ALL_PATHS);
         Set<Path<TestVertex, TestEdge>> paths = result.paths();
         printPaths(paths);
         assertEquals("incorrect paths count", pathCount, paths.size());
@@ -78,4 +80,21 @@
         }
     }
 
+    // Executes the single-path search and validates its results.
+    protected void executeSinglePathSearch(GraphPathSearch<TestVertex, TestEdge> search,
+                                           Graph<TestVertex, TestEdge> graph,
+                                           TestVertex src, TestVertex dst,
+                                           EdgeWeight<TestVertex, TestEdge> weight,
+                                           int pathCount, double pathCost) {
+        GraphPathSearch.Result<TestVertex, TestEdge> result =
+                search.search(graph, src, dst, weight, 1);
+        Set<Path<TestVertex, TestEdge>> paths = result.paths();
+        printPaths(paths);
+        assertEquals("incorrect paths count", Math.min(pathCount, 1), paths.size());
+        if (pathCount > 0) {
+            Path<TestVertex, TestEdge> path = paths.iterator().next();
+            assertEquals("incorrect path cost", pathCost, path.cost(), 0.1);
+        }
+    }
+
 }
diff --git a/utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java b/utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java
index d225377..5348bf6 100644
--- a/utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java
+++ b/utils/misc/src/test/java/org/onlab/graph/DepthFirstSearchTest.java
@@ -22,6 +22,7 @@
 import static org.junit.Assert.assertEquals;
 import static org.junit.Assert.assertTrue;
 import static org.onlab.graph.DepthFirstSearch.EdgeType;
+import static org.onlab.graph.GraphPathSearch.ALL_PATHS;
 
 /**
  * Test of the DFS algorithm.
@@ -52,7 +53,7 @@
         DepthFirstSearch<TestVertex, TestEdge> search = graphSearch();
 
         DepthFirstSearch<TestVertex, TestEdge>.SpanningTreeResult result =
-                search.search(graph, A, H, weight);
+                search.search(graph, A, H, weight, 1);
         Set<Path<TestVertex, TestEdge>> paths = result.paths();
         assertEquals("incorrect path count", 1, paths.size());
 
@@ -77,7 +78,7 @@
 
         // Perform narrow path search to a specific destination.
         DepthFirstSearch<TestVertex, TestEdge>.SpanningTreeResult result =
-                search.search(graph, A, null, weight);
+                search.search(graph, A, null, weight, ALL_PATHS);
         assertEquals("incorrect paths count", 7, result.paths().size());
 
         int[] types = new int[]{0, 0, 0, 0};
diff --git a/utils/misc/src/test/java/org/onlab/graph/DijkstraGraphSearchTest.java b/utils/misc/src/test/java/org/onlab/graph/DijkstraGraphSearchTest.java
index e11ccb2..d906e65 100644
--- a/utils/misc/src/test/java/org/onlab/graph/DijkstraGraphSearchTest.java
+++ b/utils/misc/src/test/java/org/onlab/graph/DijkstraGraphSearchTest.java
@@ -55,16 +55,16 @@
                                              new TestEdge(C, D, 1),
                                              new TestEdge(D, C, 1)));
         GraphPathSearch<TestVertex, TestEdge> gs = graphSearch();
-        Set<Path<TestVertex, TestEdge>> paths = gs.search(graph, A, B, weight).paths();
+        Set<Path<TestVertex, TestEdge>> paths = gs.search(graph, A, B, weight, 1).paths();
         printPaths(paths);
         assertEquals("incorrect paths count", 1, paths.size());
         assertEquals("incorrect path cost", 1.0, paths.iterator().next().cost(), 0.1);
 
-        paths = gs.search(graph, A, D, weight).paths();
+        paths = gs.search(graph, A, D, weight, 1).paths();
         printPaths(paths);
         assertEquals("incorrect paths count", 0, paths.size());
 
-        paths = gs.search(graph, A, null, weight).paths();
+        paths = gs.search(graph, A, null, weight, 1).paths();
         printPaths(paths);
         assertEquals("incorrect paths count", 1, paths.size());
         assertEquals("incorrect path cost", 1.0, paths.iterator().next().cost(), 0.1);
@@ -78,6 +78,7 @@
                                              new TestEdge(B, D, 1),
                                              new TestEdge(C, D, 1)));
         executeSearch(graphSearch(), graph, A, D, weight, 2, 2.0);
+        executeSinglePathSearch(graphSearch(), graph, A, D, weight, 1, 2.0);
     }
 
     @Test
@@ -93,6 +94,7 @@
                                              new TestEdge(F, G, 1),
                                              new TestEdge(A, G, 4)));
         executeSearch(graphSearch(), graph, A, G, weight, 5, 4.0);
+        executeSinglePathSearch(graphSearch(), graph, A, G, weight, 1, 4.0);
     }
 
     @Test
@@ -106,6 +108,7 @@
                                              new TestEdge(F, G, 1), new TestEdge(F, H, 1),
                                              new TestEdge(A, E, 3), new TestEdge(B, D, 1)));
         executeSearch(graphSearch(), graph, A, E, weight, 3, 3.0);
+        executeSinglePathSearch(graphSearch(), graph, A, E, weight, 1, 3.0);
     }
 
     @Test
@@ -123,6 +126,7 @@
                                              new TestEdge(G, A, -5),
                                              new TestEdge(A, G, 4)));
         executeSearch(graphSearch(), graph, A, G, weight, 3, 4.0);
+        executeSinglePathSearch(graphSearch(), graph, A, G, weight, 1, 4.0);
     }
 
     @Test