private int FindClockPeriod(DelayGraphVertex vertex, Dictionary <DelayGraphVertex, int> computedDelays, out bool foundCycle)
{
int periodEstimatedFromThisTerminalForward =
TraverseForwardCalculatingPeriodIterative(vertex, computedDelays, out foundCycle);
return(periodEstimatedFromThisTerminalForward);
}
private static long GetLatencyCost(DelayGraphVertex v, HashSet <DelayGraphVertex> registered)
{
if (v.IsRegistered || registered.Contains(v))
{
return(v.LatencyCostIfRegistered);
}
return(0);
}
private int TraverseForwardCalculatingPeriod(
DelayGraphVertex startingVertex, out bool foundCycle)
{
var computedDelays = new Dictionary <DelayGraphVertex, int>();
var visiting = new HashSet <DelayGraphVertex>();
return(TraverseForwardCalculatingPeriodRecursive(startingVertex, out foundCycle, visiting, computedDelays));
}
/// <summary>
/// Iterative version of topological sort, of forward edges only
/// </summary>
/// <param name="v">a delay graph vertex</param>
/// <param name="sorted">linked list of sorted list of vertices</param>
/// <param name="visited">to keep track of vertices that have been visited previously</param>
/// <param name="graph">the delay graph</param>
/// <returns>return true iff v is processed as unvisited</returns>
private static bool TopoIterative(DelayGraphVertex v, LinkedList <DelayGraphVertex> sorted, Dictionary <DelayGraphVertex, VisitState> visited, DelayGraph graph)
{
// add v to visited first, and if it is already visited, then bail
if (visited.ContainsKey(v))
{
return(false);
}
var stack = new Stack <DelayGraphVertex>();
visited[v] = VisitState.Queued;
stack.Push(v);
while (stack.Any())
{
var curr = stack.Peek();
var status = visited[curr];
if (status == VisitState.Queued)
{
// first ever visit, queue all outgoing vertices
visited[curr] = VisitState.Visiting;
var outEdges = graph.GetForwardOutEdges(curr);
foreach (var e in outEdges.Reverse())
{
var next = e.Target;
VisitState nextStatus;
if (!visited.TryGetValue(next, out nextStatus) ||
nextStatus == VisitState.Queued)
{
// not visited yet, or previously queued, queue next
visited[next] = VisitState.Queued;
stack.Push(next);
}
else if (nextStatus == VisitState.Visiting)
{
// found a cycle - not supposed to happen - there is no good topological sort with cycles
return(false);
}
// othewise: visited, no need to queue it again
}
}
else if (status == VisitState.Visiting)
{
// second visit - all fanout have been processed already
visited[curr] = VisitState.Visited;
sorted.AddFirst(curr);
stack.Pop();
}
else
{
// visited - previously added to sorted already, just pop it
stack.Pop();
}
}
return(true);
}
/// <summary>
/// allocate and enter a data into WaveFrontDictionary for vertex v, initialized to refCount
/// </summary>
/// <param name="v">a vertex</param>
/// <param name="refCount">the reference count for number of uses before deleting from dictionary</param>
/// <param name="data">The data for this definition.</param>
/// <returns>the allocated data</returns>
internal void Define(DelayGraphVertex v, int refCount, T data)
{
var packet = new Packet <T>(refCount, data);
if (refCount > 0)
{
this[v] = packet;
}
}
private static IEnumerable <DelayGraphVertex> GetFanouts(DelayGraphVertex v, DelayGraph graph)
{
IEnumerable <DelayGraphEdge> edges;
if (graph.TryGetOutEdges(v, out edges))
{
return(edges.Select(e => e.Target));
}
return(Enumerable.Empty <DelayGraphVertex>());
}
/// <summary>
/// if myData is null, create it and register it into table using table.Define() for vertex v
/// </summary>
/// <param name="table">the wavefront dictionary</param>
/// <param name="v">a vertex</param>
/// <param name="myRefCount">reference count </param>
/// <param name="myData">original data, could be null</param>
/// <returns></returns>
private static Dictionary <DelayGraphVertex, long> GetOrMakeMyData(WaveFrontDictionary <Dictionary <DelayGraphVertex, long> > table,
DelayGraphVertex v, int myRefCount, Dictionary <DelayGraphVertex, long> myData)
{
if (myData == null)
{
myData = new Dictionary <DelayGraphVertex, long>();
table.Define(v, myRefCount, myData);
}
return(myData);
}
internal PeriodTraverseState(
DelayGraphVertex vertex,
int delayReturned,
Queue <DelayGraphEdge> unfinishedEdges,
int maxAmongOutgoingEdges)
{
Vertex = vertex;
DelayReturned = delayReturned;
UnfinishedEdges = unfinishedEdges;
MaxAmongOutgoingEdges = maxAmongOutgoingEdges;
StateWaitingOn = null;
}
private int TraverseForwardCalculatingPeriodRecursive(DelayGraphVertex startingVertex, out bool foundCycle,
HashSet <DelayGraphVertex> visiting,
Dictionary <DelayGraphVertex, int> computedDelays)
{
foundCycle = false;
int maxAmongOutgoingEdges = 0;
if (computedDelays.TryGetValue(startingVertex, out maxAmongOutgoingEdges))
{
return(maxAmongOutgoingEdges);
}
if (visiting.Contains(startingVertex)) // stop recursing if we hit a cycle
{
foundCycle = true;
return(0);
}
// set state to visiting for starting vertex
visiting.Add(startingVertex);
IEnumerable <DelayGraphEdge> foundOutgoingEdges;
if (Graph.TryGetOutEdges(startingVertex, out foundOutgoingEdges))
{
foreach (var outEdge in foundOutgoingEdges)
{
int delayOnThisPath;
if (Registered(outEdge.Target)) // stop recursing when we hit a register
{
delayOnThisPath = outEdge.Delay;
}
else
{
bool anyCycle;
delayOnThisPath = outEdge.Delay + TraverseForwardCalculatingPeriodRecursive(
startingVertex: outEdge.Target,
foundCycle: out anyCycle,
visiting: visiting,
computedDelays: computedDelays);
if (anyCycle)
{
foundCycle = true;
}
}
maxAmongOutgoingEdges = Math.Max(maxAmongOutgoingEdges, delayOnThisPath);
}
}
// finished visiting startingVertex - enter into ComputeDelays - which means visited is done
// and remove it from visiting to be technically correct
computedDelays[startingVertex] = maxAmongOutgoingEdges;
visiting.Remove(startingVertex);
return(maxAmongOutgoingEdges);
}
/// <summary>
/// decrement reference count, if 0, remove v from dictinary
/// </summary>
/// <param name="v">a vertex</param>
/// <returns>the data being kept for v in WaveFrontDictionary</returns>
internal T Use(DelayGraphVertex v)
{
Packet <T> packet;
if (TryGetValue(v, out packet))
{
var data = packet.Data;
packet.RefCount--;
if (packet.RefCount == 0)
{
Remove(v);
}
return(data);
}
return(default(T));
}
/// <summary>
/// return a topologically sorted (according to non-feedback edges only) list of vertices
/// </summary>
/// <param name="v">a vertex</param>
/// <param name="sorted">linked list of sorted list of vertices</param>
/// <param name="visited">to keep track of vertices that have been visited previously</param>
/// <param name="graph">the delay graph</param>
/// <returns>return true iff v is processed as unvisited </returns>
private static bool TopoRecursive(DelayGraphVertex v, LinkedList <DelayGraphVertex> sorted, HashSet <DelayGraphVertex> visited, DelayGraph graph)
{
// add v to visited first, and if it is already visited, then bail
if (visited.Add(v))
{
var outEdges = graph.GetForwardOutEdges(v);
foreach (var e in outEdges)
{
TopoRecursive(e.Target, sorted, visited, graph);
}
// all fanout have been visited and added to sorted list - add v to start of sorted list
sorted.AddFirst(v);
return(true);
}
return(false);
}
private void RetimeRegister(DelayGraphVertex v)
{
if (v.IsInputTerminal)
{
// move v's register to incoming edges
foreach (var e in Graph.GetForwardInEdges(v))
{
RegisteredTerminals.Add(e.Source);
}
}
else
{
// move v's register to outgoing edges
foreach (var e in Graph.GetForwardOutEdges(v))
{
RegisteredTerminals.Add(e.Source);
}
}
RegisteredTerminals.Remove(v);
}
private static Dictionary <String, DelayGraphVertex> RecreateVertices(XElement graph, String nmsp, DelayGraph delayGraph)
{
var nodeIdToVertexMap = new Dictionary <String, DelayGraphVertex>();
var vertexType = typeof(DelayGraphVertex);
// todo: update this map if new properties are added...or use "CreatePropertyTypeMap" below
var propertyToTypeMap = new Dictionary <String, Type>()
{
{ "VertexId", typeof(int) },
{ "NodeType", typeof(int) },
{ "NodeUniqueId", typeof(int) },
{ "ThroughputCostIfRegistered", typeof(long) },
{ "LatencyCostIfRegistered", typeof(long) },
{ "RegisterCostIfRegistered", typeof(long) },
{ "IsRegistered", typeof(bool) },
{ "IsInputTerminal", typeof(bool) },
{ "IsOutputTerminal", typeof(bool) },
{ "DisallowRegister", typeof(bool) }
};
// get the nodes
foreach (var node in graph.Elements(nmsp + "node"))
{
// create new vertex
var vertex = new DelayGraphVertex();
var id = (string)node.Attribute("id");
nodeIdToVertexMap.Add(id, vertex);
// populate the fields of the node
foreach (var data in node.Elements())
{
var key = (string)data.Attribute("key");
dynamic contents = Convert.ChangeType(data.Value, propertyToTypeMap[key], CultureInfo.InvariantCulture);
vertexType.GetProperty(key).SetValue(vertex, contents);
}
// add the node to the graph
delayGraph.AddVertex(vertex);
}
return(nodeIdToVertexMap);
}
/// <summary>
/// return true iff there is at least one forward combinational path from v to target (ie, a path consisting of forward edges and no registered vertices along the way)
/// </summary>
/// <param name="v">the source vertex</param>
/// <param name="target">the target vertex</param>
/// <param name="visited">a cache for visited vertices</param>
/// <returns>true iff there is a combinational forward path</returns>
private bool FindForwardPath(DelayGraphVertex v, DelayGraphVertex target, HashSet <DelayGraphVertex> visited)
{
if (v == target)
{
return(true);
}
if (!visited.Add(v))
{
// previously visited
return(false);
}
foreach (var e in Graph.GetForwardOutEdges(v))
{
if (Registered(e.Target))
{
continue;
}
if (FindForwardPath(e.Target, target, visited))
{
return(true);
}
}
return(false);
}
private int TraverseForwardCalculatingPeriodIterative(
DelayGraphVertex startingVertex,
Dictionary <DelayGraphVertex, int> computedDelays,
out bool foundCycle)
{
Stack <DelayGraphVertex> stack = new Stack <DelayGraphVertex>();
var visited = new Dictionary <DelayGraphVertex, VisitState>();
stack.Push(startingVertex);
visited[startingVertex] = VisitState.Queued;
foundCycle = false;
while (stack.Any())
{
DelayGraphVertex currentVertex = stack.Peek();
var visitStatus = visited[currentVertex]; // it is an error if currentVertex is not found in visited dictionary
if (visitStatus == VisitState.Queued)
{
// first time processing currentVertex - queue all outgoing edges
visited[currentVertex] = VisitState.Visiting;
IEnumerable <DelayGraphEdge> foundOutgoingEdges;
if (Graph.TryGetOutEdges(currentVertex, out foundOutgoingEdges))
{
var todo = foundOutgoingEdges.Where(e => !Registered(e.Target)).Select(e => e.Target);
todo.Reverse();
foreach (var next in todo)
{
VisitState status;
if (!visited.TryGetValue(next, out status))
{
visited[next] = VisitState.Queued;
stack.Push(next);
}
else if (status == VisitState.Queued)
{
// next has been previously queued - have to push it again so this is processed before parent's second visit
stack.Push(next);
}
else if (status == VisitState.Visiting)
{
// found a cycle
foundCycle = true;
computedDelays[next] = 0;
}
// ok if status is Visited - no need to re-schedule next
}
}
}
else if (visitStatus == VisitState.Visiting)
{
// second visit - all fanout have been processed already
int maxDelay = 0;
IEnumerable <DelayGraphEdge> foundOutgoingEdges;
if (Graph.TryGetOutEdges(currentVertex, out foundOutgoingEdges))
{
foreach (var edge in foundOutgoingEdges)
{
var next = edge.Target;
int nextDelay = 0;
if (!Registered(next))
{
if (!computedDelays.TryGetValue(next, out nextDelay))
{
throw new Exception("Cannot find Key: next should have been processed and found in ComputeDelays");
}
}
maxDelay = Math.Max(maxDelay, edge.Delay + nextDelay);
}
}
computedDelays[currentVertex] = maxDelay;
visited[currentVertex] = VisitState.Visited;
stack.Pop();
}
else
{
// visited - due to reconvergence - just pop it
stack.Pop();
}
}
return(computedDelays[startingVertex]);
}
private int TraverseForwardCalculatingPeriodIterative2(
DelayGraphVertex startingVertex, out bool foundCycle)
{
Stack <PeriodTraverseState> stack = new Stack <PeriodTraverseState>();
stack.Push(new PeriodTraverseState(startingVertex));
PeriodTraverseState currentState = null;
foundCycle = false;
while (stack.Any())
{
currentState = stack.Peek();
int alreadyComputedDelay = 0;
if (ComputedDelays.TryGetValue(currentState.Vertex, out alreadyComputedDelay)) // put in for reconvergent paths
{
currentState.DelayReturned = alreadyComputedDelay;
stack.Pop();
continue;
}
if (currentState.StateWaitingOn == null) // this state is used here just to tell if we are coming along here b/c we need to attend to unfinished business where we might have already set 'visited'
{
if (Visiting.Contains(currentState.Vertex)) // stop recursing if we're going along a loop, but still add up the delays of the loop
{
currentState.DelayReturned = 0;
foundCycle = true;
stack.Pop();
continue;
}
Visiting.Add(currentState.Vertex);
}
if (currentState.UnfinishedEdges == null)
{
IEnumerable <DelayGraphEdge> foundOutgoingEdges;
if (Graph.TryGetOutEdges(currentState.Vertex, out foundOutgoingEdges))
{
currentState.UnfinishedEdges = new Queue <DelayGraphEdge>(foundOutgoingEdges);
}
}
bool done = true;
while (currentState.UnfinishedEdges != null && currentState.UnfinishedEdges.Any())
{
var outEdge = currentState.UnfinishedEdges.Peek();
int delayOnThisPath;
if (Registered(outEdge.Target)) // stop recursing when we hit a register
{
delayOnThisPath = outEdge.Delay;
}
else if (Visiting.Contains(outEdge.Target))
{
// found a cycle
foundCycle = true;
delayOnThisPath = outEdge.Delay;
}
else
{
if (currentState.StateWaitingOn == null)
{
currentState.StateWaitingOn = new PeriodTraverseState(outEdge.Target);
stack.Push(currentState.StateWaitingOn);
done = false; // need to process what we just pushed
break;
}
else
{
delayOnThisPath = outEdge.Delay + currentState.StateWaitingOn.DelayReturned;
currentState.StateWaitingOn = null;
}
}
currentState.UnfinishedEdges.Dequeue();
currentState.MaxAmongOutgoingEdges = Math.Max(currentState.MaxAmongOutgoingEdges, delayOnThisPath);
}
if (done)
{
ComputedDelays[currentState.Vertex] = currentState.MaxAmongOutgoingEdges;
currentState.DelayReturned = currentState.MaxAmongOutgoingEdges;
Visiting.Remove(currentState.Vertex);
stack.Pop();
}
}
return(currentState.DelayReturned);
}
internal PeriodTraverseState(
DelayGraphVertex vertex)
: this(vertex, 0, null, 0)
{
}
private bool Registered(DelayGraphVertex v)
{
return(v.IsRegistered || RegisteredTerminals.Contains(v));
}
