public void testGrowReplaceShrink() {
Random r = new Random();
int k = 10000;
String s = "A";
double t = 0;
FibonacciHeap<String> h = new FibonacciHeap<>();
for (int i = 0; i < (k * 3); ++i) {
// during first two-thirds, insert
if (i < (k * 2)) {
double d = r.nextDouble();
t += d;
FibonacciHeapNode<String> n = new FibonacciHeapNode<>(s);
h.insert(n, d);
}
// during last two-thirds, delete (so during middle
// third, we'll do both insert and delete, interleaved)
if (i >= k) {
FibonacciHeapNode<String> n2 = h.removeMin();
t -= n2.getKey();
}
}
assertTrue(h.isEmpty());
// tally should come back down to zero, or thereabouts (due to roundoff)
assertEquals(0.0, t, 0.00001);
}
public static FibonacciHeap<NodeInfoHelper> initialStartSet(
long startNode,
long endNode,
HashMap<Long, FibonacciHeapNode<NodeInfoHelper>> nodeHelperCache) {
FibonacciHeap<NodeInfoHelper> openSet = new FibonacciHeap<NodeInfoHelper>();
NodeInfo start = OSMData.nodeHashMap.get(startNode);
NodeInfoHelper initial;
FibonacciHeapNode<NodeInfoHelper> fInitial;
// initial start end set
if (start.isIntersect()) {
// initial
initial = new NodeInfoHelper(startNode);
initial.setCost(0);
initial.setHeuristic(estimateHeuristic(startNode, endNode));
fInitial = new FibonacciHeapNode<NodeInfoHelper>(initial);
openSet.insert(fInitial, initial.getTotalCost()); // push the start node
nodeHelperCache.put(initial.getNodeId(), fInitial); // add cache
} else {
EdgeInfo edge = start.getOnEdgeList().getFirst();
double speed = edge.getTravelSpeed();
int travelTime = 1; // second
int distance;
if (!edge.isOneway()) {
// distance from start to middle
distance = edge.getStartDistance(startNode);
travelTime = (int) Math.round(distance / speed * OSMParam.MILLI_PER_SECOND);
initial = new NodeInfoHelper(edge.getStartNode());
initial.setCost(travelTime);
initial.setHeuristic(estimateHeuristic(edge.getStartNode(), endNode));
fInitial = new FibonacciHeapNode<NodeInfoHelper>(initial);
openSet.insert(fInitial, initial.getTotalCost()); // push the start node
nodeHelperCache.put(initial.getNodeId(), fInitial); // add cache
}
distance = edge.getEndDistance(startNode);
travelTime = (int) Math.round(distance / speed * OSMParam.MILLI_PER_SECOND);
initial = new NodeInfoHelper(edge.getEndNode());
initial.setCost(travelTime);
initial.setHeuristic(estimateHeuristic(edge.getEndNode(), endNode));
fInitial = new FibonacciHeapNode<NodeInfoHelper>(initial);
openSet.insert(fInitial, initial.getTotalCost()); // push the start node
nodeHelperCache.put(initial.getNodeId(), fInitial); // add cache
}
return openSet;
}
public void relaxEdges(FibonacciHeap<Vertex> unvisited) {
Vertex[] vertices = Graph.this.vertices;
for (Edge edge : edges) {
Vertex to = vertices[edge.to];
int newDistance = distance + edge.cost;
if (newDistance < to.distance) {
to.distance = newDistance;
unvisited.decreaseKey(to.heapEntry, newDistance);
}
}
}
public int getDistance(int from, int to) {
FibonacciHeap<Vertex> unvisited = new FibonacciHeap<Vertex>();
for (int i = 1; i <= vertexCount; i++) {
vertices[i].distance = vertexCount + 1;
vertices[i].visited = false;
}
vertices[from].distance = 0;
for (int i = 1; i <= vertexCount; i++)
vertices[i].heapEntry = unvisited.enqueue(vertices[i], vertices[i].distance);
while (unvisited.size() > 0) {
Vertex v = unvisited.dequeueMin().getValue();
if (v.index == to || v.distance > vertexCount) return v.distance;
v.relaxEdges(unvisited);
}
return vertices[to].distance;
}
// in honor of sf.net bug #1845376
public void testAddRemoveOne() {
String s = "A";
FibonacciHeapNode<String> n = new FibonacciHeapNode<>(s);
FibonacciHeap<String> h = new FibonacciHeap<>();
assertTrue(h.isEmpty());
h.insert(n, 1.0);
assertFalse(h.isEmpty());
FibonacciHeapNode<String> n2 = h.removeMin();
assertEquals(s, n2.getData());
assertTrue(h.isEmpty());
}
/**
* Given two Fibonacci heaps, returns a new Fibonacci heap that contains all of the elements of
* the two heaps. Each of the input heaps is destructively modified by having all its elements
* removed. You can continue to use those heaps, but be aware that they will be empty after this
* call completes.
*
* @param one The first Fibonacci heap to merge.
* @param two The second Fibonacci heap to merge.
* @return A new FibonacciHeap containing all of the elements of both heaps.
*/
public static <T> FibonacciHeap<T> merge(FibonacciHeap<T> one, FibonacciHeap<T> two) {
/* Create a new FibonacciHeap to hold the result. */
FibonacciHeap<T> result = new FibonacciHeap<T>();
/* Merge the two Fibonacci heap root lists together. This helper function
* also computes the min of the two lists, so we can store the result in
* the mMin field of the new heap.
*/
result.mMin = mergeLists(one.mMin, two.mMin);
/* The size of the new heap is the sum of the sizes of the input heaps. */
result.mSize = one.mSize + two.mSize;
/* Clear the old heaps. */
one.mSize = two.mSize = 0;
one.mMin = null;
two.mMin = null;
/* Return the newly-merged heap. */
return result;
}
/**
* routing using A* algorithm with fibonacci heap basically same as routingAStar function
*
* @param startNode
* @param endNode
* @param startTime
* @param pathNodeList return path
* @return
*/
public static double routingAStarFibonacci(
long startNode, long endNode, int startTime, int dayIndex, ArrayList<Long> pathNodeList) {
System.out.println("start finding the path...");
int debug = 0;
double totalCost = -1;
try {
// test store transversal nodes
// HashSet<Long> transversalSet = new HashSet<Long>();
if (!OSMData.nodeHashMap.containsKey(startNode)
|| !OSMData.nodeHashMap.containsKey(endNode)) {
System.err.println("cannot find start or end node!");
return -1;
}
if (startNode == endNode) {
System.out.println("start node is the same as end node.");
return 0;
}
HashSet<Long> closedSet = new HashSet<Long>();
HashMap<Long, FibonacciHeapNode<NodeInfoHelper>> nodeHelperCache =
new HashMap<Long, FibonacciHeapNode<NodeInfoHelper>>();
FibonacciHeap<NodeInfoHelper> openSet = initialStartSet(startNode, endNode, nodeHelperCache);
HashSet<Long> endSet = initialEndSet(endNode);
NodeInfoHelper current = null;
FibonacciHeapNode<NodeInfoHelper> fCurrent = null;
while (!openSet.isEmpty()) {
// remove current from openset
fCurrent = openSet.min();
openSet.removeMin();
current = fCurrent.getData();
// if(!transversalSet.contains(current.getNodeId()))
// transversalSet.add(current.getNodeId());
long nodeId = current.getNodeId();
// add current to closedset
closedSet.add(nodeId);
if (endSet.contains(nodeId)) { // find the destination
current = current.getEndNodeHelper(endNode);
totalCost = current.getCost();
break;
}
// for time dependent routing
int timeIndex =
startTime
+ (int)
(current.getCost() / OSMParam.SECOND_PER_MINUTE / OSMRouteParam.TIME_INTERVAL);
if (timeIndex
> OSMRouteParam.TIME_RANGE
- 1) // time [6am - 9 pm], we regard times after 9pm as constant edge weights
timeIndex = OSMRouteParam.TIME_RANGE - 1;
LinkedList<ToNodeInfo> adjNodeList = OSMData.adjListHashMap.get(nodeId);
if (adjNodeList == null) continue; // this node cannot go anywhere
double arriveTime = current.getCost();
// for each neighbor in neighbor_nodes(current)
for (ToNodeInfo toNode : adjNodeList) {
debug++;
long toNodeId = toNode.getNodeId();
int travelTime;
if (toNode.isFix()) // fix time
travelTime = toNode.getTravelTime();
else // fetch from time array
travelTime = toNode.getSpecificTravelTime(dayIndex, timeIndex);
// tentative_g_score := g_score[current] + dist_between(current,neighbor)
double costTime = arriveTime + (double) travelTime / OSMParam.MILLI_PER_SECOND;
// tentative_f_score := tentative_g_score + heuristic_cost_estimate(neighbor, goal)
double heuristicTime = estimateHeuristic(toNodeId, endNode);
double totalCostTime = costTime + heuristicTime;
// if neighbor in closedset and tentative_f_score >= f_score[neighbor]
if (closedSet.contains(toNodeId)
&& nodeHelperCache.get(toNodeId).getData().getTotalCost() <= totalCostTime) {
continue;
}
NodeInfoHelper node = null;
FibonacciHeapNode<NodeInfoHelper> fNode = null;
// if neighbor not in openset or tentative_f_score < f_score[neighbor]
if (!nodeHelperCache.containsKey(toNodeId)) { // neighbor not in openset
// create new one
node = new NodeInfoHelper(toNodeId);
node.setCost(costTime);
node.setHeuristic(heuristicTime);
node.setParentId(nodeId);
fNode = new FibonacciHeapNode<NodeInfoHelper>(node);
openSet.insert(fNode, node.getTotalCost());
nodeHelperCache.put(node.getNodeId(), fNode);
} else if (nodeHelperCache.get(toNodeId).getData().getTotalCost()
> totalCostTime) { // neighbor in openset
fNode = nodeHelperCache.get(toNodeId);
node = fNode.getData();
// update information
node.setCost(costTime);
node.setHeuristic(heuristicTime);
node.setParentId(nodeId);
if (closedSet.contains(toNodeId)) { // neighbor in closeset
closedSet.remove(toNodeId); // remove neighbor form colseset
openSet.insert(fNode, node.getTotalCost());
} else { // neighbor in openset, decreaseKey
openSet.decreaseKey(fNode, node.getTotalCost());
}
}
}
}
if (totalCost != -1) {
long traceNodeId = current.getNodeId();
pathNodeList.add(traceNodeId); // add end node
traceNodeId = current.getParentId();
while (traceNodeId != 0) {
pathNodeList.add(traceNodeId); // add node
fCurrent = nodeHelperCache.get(traceNodeId);
current = fCurrent.getData();
traceNodeId = current.getParentId();
}
Collections.reverse(pathNodeList); // reverse the path list
System.out.println("find the path successful!");
} else {
System.out.println("can not find the path!");
}
// OSMOutput.generateTransversalNodeKML(transversalSet, nodeHashMap);
} catch (Exception e) {
e.printStackTrace();
System.err.println(
"tdsp: debug code " + debug + ", start node " + startNode + ", end node " + endNode);
}
return totalCost;
}
