Limit the number of initial start poke's required

Every graph needs each vertex to have a change to run initially (after
it has started up) so that initial state detection can be applied to
fix anything that happened while the program was not running. We used to
poke every vertex which was unnecessary, when in fact we only need to
poke the set of vertices that are the minimum set of ultimate
pre-requisites for every other vertex in the graph. That way, you're
either poked directly, or poked by someone who was, etc...

It turns out we don't need Dilworth's theorem, and that looking at
vertices with an indegree of 0 is enough (I think it is a special case
when we have a DAG).

This also fixes a goroutine start scheduling race by ensuring the
initial pokes are received!

pgraph.go

@@ -28,6 +28,7 @@ import (
 	"strconv"
 	"sync"
 	"syscall"
+	"time"
 )
 
 //go:generate stringer -type=graphState -output=graphstate_stringer.go
@@ -422,7 +423,8 @@ func (g *Graph) GetDisconnectedGraphs() chan *Graph {
 	return ch
 }
 
-// return the indegree for the graph
+// return the indegree for the graph, IOW the count of vertices that point to me
+// NOTE: this returns the values for all vertices in one big lookup table
 func (g *Graph) InDegree() map[*Vertex]int {
 	result := make(map[*Vertex]int)
 	for k := range g.Adjacency {
@@ -437,7 +439,8 @@ func (g *Graph) InDegree() map[*Vertex]int {
 	return result
 }
 
-// return the outdegree for the graph
+// return the outdegree for the graph, IOW the count of vertices that point away
+// NOTE: this returns the values for all vertices in one big lookup table
 func (g *Graph) OutDegree() map[*Vertex]int {
 	result := make(map[*Vertex]int)
 
@@ -542,6 +545,7 @@ func HeisenbergCount(ch chan *Vertex) int {
 // main kick to start the graph
 func (g *Graph) Start(wg *sync.WaitGroup) { // start or continue
 	t, _ := g.TopologicalSort()
+	indegree := g.InDegree() // compute all of the indegree's
 	for _, v := range Reverse(t) {
 
 		if !v.Type.IsWatching() { // if Watch() is not running...
@@ -555,9 +559,27 @@ func (g *Graph) Start(wg *sync.WaitGroup) { // start or continue
 			}(v)
 		}
 
-		// ensure state is started before continuing on to next vertex
+		// selective poke: here we reduce the number of initial pokes
-		v.Type.SendEvent(eventStart, true, false)
+		// to the minimum required to activate every vertex in the
-
+		// graph, either by direct action, or by getting poked by a
+		// vertex that was previously activated. if we poke each vertex
+		// that has no incoming edges, then we can be sure to reach the
+		// whole graph. Please note: this may mask certain optimization
+		// failures, such as any poke limiting code in Poke() or
+		// BackPoke(). You might want to disable this selective start
+		// when experimenting with and testing those elements.
+		if indegree[v] == 0 {
+			// ensure state is started before continuing on to next vertex
+			for !v.Type.SendEvent(eventStart, true, false) {
+				if DEBUG {
+					// if SendEvent fails, we aren't up yet
+					log.Printf("%v[%v]: Retrying SendEvent(Start)", v.GetType(), v.GetName())
+					// sleep here briefly or otherwise cause
+					// a different goroutine to be scheduled
+					time.Sleep(1 * time.Millisecond)
+				}
+			}
+		}
 	}
 }