Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/AkkaExecutor.scala
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/AkkaExecutor.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/AkkaExecutor.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,173 @@
+import akka.actor.typed.scaladsl.Behaviors
+import akka.actor.typed.scaladsl.LoggerOps
+import akka.actor.typed.{ ActorRef, ActorSystem, Behavior }
+import java.util.concurrent.atomic.AtomicInteger
+import akka.event.Logging
+import akka.actor.typed.DispatcherSelector
+import java.util.concurrent.Semaphore
+
+object ExecutorActor {
+	sealed trait MessageTypes
+	final case class Dummy( id: Int ) extends MessageTypes
+	final case class StartMsg( id: Int ) extends MessageTypes
+
+	val rounds = ExecutorMain.Set * ExecutorMain.Rounds
+
+	def apply(): Behavior[MessageTypes] = Behaviors.receive { (context, message) =>
+		message match {
+			case StartMsg( id ) =>
+				ExecutorMain.groups(id) = id / ExecutorMain.Set * ExecutorMain.Set
+				if (id == ExecutorMain.Actors - 1) {
+					ExecutorMain.system ! ExecutorMain.Continue()
+				} // if
+			case Dummy( id ) =>
+				if ( ExecutorMain.recs(id) >= rounds ) {
+					if ( ExecutorMain.actorCnt.incrementAndGet() == ExecutorMain.Actors ) {
+						if ( ExecutorMain.trials.get() > 0 ) { // ignore trial 1
+							println( s"${ExecutorMain.Processors}" + "\t" + f"${(System.nanoTime() - ExecutorMain.startTime) * ExecutorMain.Factor / 1_000_000_000.0}%1.2f" )
+						} // if
+						if ( ExecutorMain.trials.incrementAndGet() == ExecutorMain.Numtimes + 1 ) {
+							ExecutorMain.system ! ExecutorMain.Stop()
+						} else {
+							ExecutorMain.actorCnt.set( 0 )
+							ExecutorMain.startTime = System.nanoTime()
+							for ( r <- 0 until ExecutorMain.Actors ) { // start actors again
+								ExecutorMain.actors(r) ! Dummy( r )
+							} // for
+						} // if
+					} // if
+					ExecutorMain.recs(id) = 0
+					ExecutorMain.sends(id) = 0			// reset for next trial
+				} else {
+					if ( ExecutorMain.recs(id) % ExecutorMain.Batch == 0 ) {
+						for ( r <- 0 until ExecutorMain.Batch ) {  // start actors again
+							val sendId = ExecutorMain.groups(id) + ExecutorMain.sends(id) % ExecutorMain.Set
+							ExecutorMain.actors( sendId ) ! Dummy( sendId ) // cycle through group
+							ExecutorMain.sends(id) += 1
+						} // for
+					} // if
+					ExecutorMain.recs(id) += 1
+				} // if
+		} // message
+		Behaviors.same
+	}
+}
+
+object ExecutorMain {
+	sealed trait MainMessages
+	final case class Start() extends MainMessages
+	final case class Stop() extends MainMessages
+	final case class Continue() extends MainMessages
+
+	var Actors = 40_000; var Set = 100; var Rounds = 400; var Processors = 1; var Batch = 1; var Numtimes = 1; var Factor = 2 // default values
+
+	val actors = new Array[ActorRef[ExecutorActor.MessageTypes]](Actors)
+	val recs = new Array[Int](Actors)
+	val sends = new Array[Int](Actors)
+	val groups = new Array[Int](Actors)
+
+	val actorCnt = new AtomicInteger(0)
+	val trials = new AtomicInteger(0)
+    val sem = new Semaphore(0)
+
+	var system : ActorSystem[ExecutorMain.MainMessages] = null
+	var startTime = System.nanoTime()
+
+	def apply(): Behavior[MainMessages] = Behaviors.setup { context =>
+		for ( id <- 0 until Actors ) {						// create actors
+			recs(id) = 0
+			sends(id) = 0
+			actors(id) = context.spawn(ExecutorActor(), "actor_" + id, DispatcherSelector.fromConfig("akka.dispatcher"))
+		} // for
+
+      	Behaviors.receiveMessage { message =>
+			message match {
+				case Start() =>
+					for ( id <- 0 until Actors ) {						// start actors
+						actors(id) ! ExecutorActor.StartMsg( id )
+					} // for
+					Behaviors.same
+				case Continue() =>
+					for ( id <- 0 until Actors ) {						// start actors
+						actors(id) ! ExecutorActor.Dummy( id )
+					} // for
+					Behaviors.same
+				case Stop() =>
+                    sem.release()
+					Behaviors.stopped
+			} // match
+      	}
+    }
+
+	def usage() = {
+		println( "Usage: " +
+			s"[ actors (> 0 && > set && actors % set == 0 ) | 'd' (default ${Actors}) ] " +
+			s"[ set (> 0) | 'd' (default ${Set}) ] " +
+			s"[ rounds (> 0) | 'd' (default ${Rounds}) ] " +
+			s"[ processors (> 0) | 'd' (default ${Processors}) ] " +
+            s"[ batch (> 0) | 'd' (default ${Batch}) ] " +
+			s"[ num times (> 0) | 'd' (default ${Numtimes}) ]"
+		)
+		System.exit( 1 )
+	}
+
+	def main(args: Array[String]): Unit = {
+		if ( args.length > 7 ) usage()						// process command-line arguments
+        if ( args.length == 7 ) {
+			if ( args(6) != "d" ) {							// default ?
+				Factor = args(6).toInt
+				if ( Factor < 1 ) usage()
+			} // if
+		} // if
+        if ( args.length >= 6 ) {
+			if ( args(5) != "d" ) {							// default ?
+				Numtimes = args(5).toInt
+				if ( Numtimes < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 5 ) {
+			if ( args(4) != "d" ) {							// default ?
+				Batch = args(4).toInt
+				if ( Batch < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 4 ) {
+			if ( args(3) != "d" ) {							// default ?
+				Processors = args(3).toInt
+				if ( Processors < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 3 ) {							// fall through
+			if ( args(2) != "d" ) {							// default ?
+				Rounds = args(2).toInt
+				if ( Rounds < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 2 ) {							// fall through
+			if ( args(1) != "d" ) {							// default ?
+				Set = args(1).toInt
+				if ( Set < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 1 ) {							// fall through
+			if ( args(0) != "d" ) {							// default ?
+				Actors = args(0).toInt
+				if ( Actors < 1 || Actors <= Set || Actors % Set != 0 ) usage()
+			} // if
+		} // if
+
+        Rounds = Rounds / Factor;
+
+		//println( "Actors " + Actors + " Set " + Set + " Rounds " + Rounds + " Processors " + Processors + " Batch " + Batch )
+
+		system = ActorSystem( ExecutorMain(), "Executor" )
+		system ! Start()
+        sem.acquire()
+	}
+}
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: java //
+// compile-command: "sbt --warn -J-Xmx32g \"run\"" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/application.conf
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,12 @@
+akka {
+   dispatcher {
+        type = Dispatcher
+        executor = "fork-join-executor"
+        fork-join-executor {
+            parallelism-factor = 2.0
+            parallelism-min = 1
+            parallelism-max = 1
+        }
+        throughput = 20
+   }
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/build.sbt
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Executor/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,11 @@
+name := "dummy"
+version := "0.0"
+scalaVersion := "2.13.1"
+scalacOptions += "-deprecation"
+lazy val akkaVersion = "2.6.14"
+
+libraryDependencies ++= Seq(
+	"com.typesafe.akka" %% "akka-actor-typed" % akkaVersion
+)
+libraryDependencies += "ch.qos.logback" % "logback-classic" % "1.1.3" % Runtime
+Compile / unmanagedResourceDirectories += baseDirectory.value
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/AkkaMatrix.scala
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/AkkaMatrix.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/AkkaMatrix.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,144 @@
+import akka.actor.typed.scaladsl.Behaviors
+import akka.actor.typed.scaladsl.LoggerOps
+import akka.actor.typed.{ ActorRef, ActorSystem, Behavior }
+import java.util.concurrent.atomic.AtomicInteger
+import akka.event.Logging
+import akka.actor.typed.DispatcherSelector
+import java.util.concurrent.Semaphore
+
+object MatrixMult {
+	final case class WorkMsg( var Z: Array[Int], val X: Array[Int], val Y: Array[Array[Int]] )
+
+	def apply(): Behavior[WorkMsg] = Behaviors.receive { (context, message) =>
+		// message match {
+		// 	case WorkMsg( Z, X, Y )  =>
+		for ( i <- 0 until MatrixMain.yc ) {
+			message.Z(i) = 0
+			for ( j <- 0 until MatrixMain.xc ) {
+				message.Z(i) = message.Z(i) + message.X(j) * message.Y(j)(i)
+			}
+		}
+		if ( MatrixMain.actorCnt.incrementAndGet() == MatrixMain.xr ) {
+			MatrixMain.system ! MatrixMain.Stop()
+		}
+		// } // message
+		Behaviors.same
+	}
+}
+
+object MatrixMain {
+	sealed trait MainMessages
+	final case class Start() extends MainMessages
+	final case class Stop() extends MainMessages
+
+	var xr = 3_072; var xc = 3_072; var yc = 3_072; var Processors = 1; var MaxProcs = 48; // default values
+
+	val actors = new Array[ActorRef[MatrixMult.WorkMsg]](xr)
+	val messages = new Array[MatrixMult.WorkMsg](xr);
+
+	val actorCnt = new AtomicInteger(0)
+	val sem = new Semaphore(0)
+
+	var system : ActorSystem[MatrixMain.MainMessages] = null
+	var startTime = System.nanoTime()
+
+	var X = Array.ofDim[Int](0, 0)						// set type, set size below
+	var Y = Array.ofDim[Int](0, 0)
+	var Z = Array.ofDim[Int](0, 0)
+
+	def apply(): Behavior[MainMessages] = Behaviors.setup { context =>
+		for ( id <- 0 until xr ) {						// create actors
+			actors(id) = context.spawn(MatrixMult(), "actor_" + id, DispatcherSelector.fromConfig("akka.dispatcher"))
+			messages(id) = new MatrixMult.WorkMsg(Z(id), X(id), Y)
+		} // for
+
+	  	Behaviors.receiveMessage { message =>
+			message match {
+				case Start() =>
+					for ( id <- 0 until xr ) {			// start actors
+						actors(id) ! messages(id)
+					} // for
+					Behaviors.same
+				case Stop() =>
+					sem.release()
+					Behaviors.stopped
+			} // match
+	  	}
+	}
+
+	def usage() = {
+		println( "Usage: " +
+			s"[ yc (> 0) | 'd' (default ${xr}) ] " +
+			s"[ xc (> 0) | 'd' (default ${xc}) ] " +
+			s"[ xr (> 0) | 'd' (default ${yc}) ] " +
+			s"[ processors (> 0) | 'd' (default ${Processors}) ]"
+		)
+		System.exit( 1 )
+	}
+
+	def main(args: Array[String]): Unit = {
+		if ( args.length > 4 ) usage()					// process command-line arguments
+        if ( args.length == 5 ) {
+			if ( args(4) != "d" ) {						// default ?
+				MaxProcs = args(4).toInt
+				if ( MaxProcs < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 4 ) {
+			if ( args(3) != "d" ) {						// default ?
+				Processors = args(3).toInt
+				if ( Processors < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 3 ) {						// fall through
+			if ( args(2) != "d" ) {						// default ?
+				xr = args(2).toInt
+				if ( xr < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 2 ) {						// fall through
+			if ( args(1) != "d" ) {						// default ?
+				xc = args(1).toInt
+				if ( xc < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 1 ) {						// fall through
+			if ( args(0) != "d" ) {						// default ?
+				yc = args(0).toInt
+				if ( yc < 1 ) usage()
+			} // if
+		} // if
+
+        xr = xr / (MaxProcs / Processors)
+
+		X = Array.ofDim[Int](xr, xc)
+		Y = Array.ofDim[Int](xc, yc)
+		Z = Array.ofDim[Int](xr, yc)
+
+		for ( r <- 0 until xr ) {
+			for ( c <- 0 until xc ) {
+				X(r)(c) = r * c % 37
+			}
+		}
+
+		for ( r <- 0 until xc ) {
+			for ( c <- 0 until yc ) {
+				Y(r)(c) = r * c % 37
+			}
+		}
+
+		startTime = System.nanoTime()
+		system = ActorSystem( MatrixMain(), "Matrix" )
+		system ! Start()
+
+		sem.acquire()
+
+		println( s"${Processors}\t" + f"${(System.nanoTime() - startTime) * (MaxProcs / Processors) / 1_000_000_000.0}%1.2f" )
+	}
+}
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: java //
+// compile-command: "sbt --warn -J-Xmx32g \"run\"" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/application.conf
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,12 @@
+akka {
+   dispatcher {
+        type = Dispatcher
+        executor = "fork-join-executor"
+        fork-join-executor {
+            parallelism-factor = 2.0
+            parallelism-min = 1
+            parallelism-max = 1
+        }
+        throughput = 20
+   }
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/build.sbt
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Matrix/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,11 @@
+name := "dummy"
+version := "0.0"
+scalaVersion := "2.13.1"
+scalacOptions += "-deprecation"
+lazy val akkaVersion = "2.6.14"
+
+libraryDependencies ++= Seq(
+	"com.typesafe.akka" %% "akka-actor-typed" % akkaVersion
+)
+libraryDependencies += "ch.qos.logback" % "logback-classic" % "1.1.3" % Runtime
+Compile / unmanagedResourceDirectories += baseDirectory.value
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/AkkaRepeat.scala
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/AkkaRepeat.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/AkkaRepeat.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,139 @@
+import akka.actor.typed.scaladsl.Behaviors
+import akka.actor.typed.scaladsl.LoggerOps
+import akka.actor.typed.{ ActorRef, ActorSystem, Behavior }
+import java.util.concurrent.atomic.AtomicInteger
+import akka.event.Logging
+import akka.actor.typed.DispatcherSelector
+import java.util.concurrent.Semaphore
+
+object Server {    
+	def apply(): Behavior[Client.MainMessages] = Behaviors.receive { (context, message) =>
+		message match {
+			case Client.CharMsg( value ) =>
+				Client.system ! Client.CharMsg( 'X' )
+			case Client.IntMsg( value ) =>
+                Client.system ! Client.IntMsg( 7 )
+            case Client.State() =>
+		} // message
+		Behaviors.same
+	}
+}
+
+object Client {
+	sealed trait MainMessages
+	final case class State() extends MainMessages
+	final case class IntMsg( val value: Int ) extends MainMessages
+	final case class CharMsg( val value: Char ) extends MainMessages
+
+	var Messages = 100_000; var Times = 100; var Processors = 4; var Factor = 1 // default values
+    var times = 0
+    var results = 0
+
+	val servers = new Array[ActorRef[MainMessages]](Messages)
+
+	val actorCnt = new AtomicInteger(0)
+    val sem = new Semaphore(0)
+
+	var system : ActorSystem[MainMessages] = null
+	var startTime = System.nanoTime()
+
+    def process() = {
+        
+    }
+
+	def apply(): Behavior[MainMessages] = Behaviors.setup { context =>
+		for ( id <- 0 until Messages ) {						// create actors
+			servers(id) = context.spawn(Server(), "actor_" + id, DispatcherSelector.fromConfig("akka.dispatcher"))
+		} // for
+
+      	Behaviors.receiveMessage { message =>
+			message match {
+				case State() =>
+					for ( id <- 0 until Messages ) {						// start actors
+						servers(id) ! IntMsg( 0 )
+                        servers(id) ! CharMsg( 0 )
+					} // for
+					Behaviors.same
+				case IntMsg( value ) =>
+					results += 1
+                    if ( results == 2 * Messages ) {
+                        times += 1
+                        if ( times == Times ) {
+                            sem.release()
+                            Behaviors.stopped
+                        } else {
+                            results = 0
+                            system ! State()
+                            Behaviors.same
+                        }
+                    } else
+                        Behaviors.same
+				case CharMsg( value ) =>
+                    results += 1
+                    if ( results == 2 * Messages ) {
+                        times += 1
+                        if ( times == Times ) {
+                            sem.release()
+                            Behaviors.stopped
+                        } else {
+                            results = 0
+                            system ! State()
+                            Behaviors.same
+                        }
+                    } else
+                        Behaviors.same
+			} // match
+      	}
+    }
+
+	def usage() = {
+		println( "Usage: " +
+			s"[ messages (> 0) | 'd' (default ${Messages}) ] " +
+			s"[ processors (> 0) | 'd' (default ${Processors}) ] " +
+			s"[ num times (> 0) | 'd' (default ${Times}) ]"
+		)
+		System.exit( 1 )
+	}
+
+	def main(args: Array[String]): Unit = {
+		if ( args.length > 5 ) usage()						// process command-line arguments
+        if ( args.length == 4 ) {							// fall through
+			if ( args(3) != "d" ) {							// default ?
+				Factor = args(3).toInt
+				if ( Factor < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 3 ) {							// fall through
+			if ( args(2) != "d" ) {							// default ?
+				Times = args(2).toInt
+				if ( Times < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 2 ) {							// fall through
+			if ( args(1) != "d" ) {							// default ?
+				Processors = args(1).toInt
+				if ( Processors < 1 ) usage()
+			} // if
+		} // if
+		if ( args.length >= 1 ) {							// fall through
+			if ( args(0) != "d" ) {							// default ?
+				Messages = args(0).toInt
+				if ( Messages < 1 ) usage()
+			} // if
+		} // if
+
+        Times = Times / Factor
+
+		system = ActorSystem( Client(), "Executor" )
+		system ! State()
+        sem.acquire()
+
+        println( s"${Processors}\t" + f"${(System.nanoTime() - startTime) * Factor / 1_000_000_000.0}%1.2f" )
+	}
+}
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: java //
+// compile-command: "sbt --warn -J-Xmx32g \"run\"" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/application.conf
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,12 @@
+akka {
+   dispatcher {
+        type = Dispatcher
+        executor = "fork-join-executor"
+        fork-join-executor {
+            parallelism-factor = 2.0
+            parallelism-min = 1
+            parallelism-max = 1
+        }
+        throughput = 20
+   }
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/build.sbt
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/Repeat/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,11 @@
+name := "dummy"
+version := "0.0"
+scalaVersion := "2.13.1"
+scalacOptions += "-deprecation"
+lazy val akkaVersion = "2.6.14"
+
+libraryDependencies ++= Seq(
+	"com.typesafe.akka" %% "akka-actor-typed" % akkaVersion
+)
+libraryDependencies += "ch.qos.logback" % "logback-classic" % "1.1.3" % Runtime
+Compile / unmanagedResourceDirectories += baseDirectory.value
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/AkkaSendDynamic.scala
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/AkkaSendDynamic.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/AkkaSendDynamic.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,89 @@
+import akka.actor.typed.scaladsl.Behaviors
+import akka.actor.typed.scaladsl.LoggerOps
+import akka.actor.typed.{ ActorRef, ActorSystem, Behavior }
+import java.util.concurrent.atomic.AtomicInteger
+import akka.event.Logging
+import akka.actor.typed.DispatcherSelector
+import java.util.concurrent.Semaphore
+
+object DynamicActor {
+	final case class Dummy( cnt: Int )
+
+	def apply(): Behavior[Dummy] = Behaviors.receive { (context, message) =>
+		if ( message.cnt >= DynamicMain.times ) {
+			if ( DynamicMain.trials.get() > 0 ) {		// ignore trial 1
+				println( s"${(System.nanoTime() - DynamicMain.startTime) / DynamicMain.times}" )
+                // println( s"${DynamicMain.times} ${(System.nanoTime() - DynamicMain.startTime) * 1E-9}s" )
+			} // if
+			if ( DynamicMain.trials.incrementAndGet() == DynamicMain.NumTrials + 1 ) {
+				DynamicMain.system ! DynamicMain.Stop()
+			} else {
+				DynamicMain.startTime = System.nanoTime() // reset for next trial
+				context.self ! Dummy( 0 )
+			} // if
+			Behaviors.same
+		} else {
+			DynamicMain.system ! DynamicMain.Start( message.cnt + 1 )
+			Behaviors.stopped
+		}
+	}
+}
+
+object DynamicMain {
+	sealed trait MainMessages
+	final case class Start( cnt: Int ) extends MainMessages
+	final case class Stop() extends MainMessages
+
+	val trials = new AtomicInteger(0)
+    val sem = new Semaphore(0)
+
+	var actor_cnt = 0;
+	var system : ActorSystem[MainMessages] = null
+	var startTime = System.nanoTime()
+	var times = 2_000_000; var NumTrials = 5
+
+	def apply(): Behavior[MainMessages] = Behaviors.setup { context =>
+      	Behaviors.receiveMessage { message =>
+			message match {
+				case Start( cnt: Int ) =>
+					val actor = context.spawn(DynamicActor(), "actor_" + actor_cnt , DispatcherSelector.fromConfig("akka.dispatcher"))
+					actor_cnt += 1
+					actor ! DynamicActor.Dummy( cnt )					
+					Behaviors.same
+				case Stop() =>
+                    sem.release()
+					Behaviors.stopped
+			}
+      	}
+    }
+
+	def main( args: Array[String] ): Unit = {
+		def usage() = {
+			println( "Usage: [ times (> 0) ]" );
+			System.exit( 0 );
+		}
+
+		args.length match {
+          case 2 =>
+            if ( args(1) != "d" ) { NumTrials = args(1).toInt }
+			if ( args(0) != "d" ) { times = args(0).toInt }
+			if ( times < 1 ) usage()
+		  case 1 =>
+			if ( args(0) != "d" ) { times = args(0).toInt }
+			if ( times < 1 ) usage()
+		  case 0 =>
+		  case _ =>
+			usage()
+		} // match
+
+		system = ActorSystem( DynamicMain(), "Dynamic" )
+		system ! Start( 0 )
+        sem.acquire()
+	}
+}
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: java //
+// compile-command: "sbt --warn -J-Xmx32g \"run\"" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/application.conf
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,12 @@
+akka {
+   dispatcher {
+        type = Dispatcher
+        executor = "fork-join-executor"
+        fork-join-executor {
+            parallelism-factor = 2.0
+            parallelism-min = 1
+            parallelism-max = 1
+        }
+        throughput = 20
+   }
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/build.sbt
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendDynamic/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,11 @@
+name := "dummy"
+version := "0.0"
+scalaVersion := "2.13.1"
+scalacOptions += "-deprecation"
+lazy val akkaVersion = "2.6.14"
+
+libraryDependencies ++= Seq(
+	"com.typesafe.akka" %% "akka-actor-typed" % akkaVersion
+)
+libraryDependencies += "ch.qos.logback" % "logback-classic" % "1.1.3" % Runtime
+Compile / unmanagedResourceDirectories += baseDirectory.value
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/AkkaSendStatic.scala
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/AkkaSendStatic.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/AkkaSendStatic.scala	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,87 @@
+import akka.actor.typed.scaladsl.Behaviors
+import akka.actor.typed.scaladsl.LoggerOps
+import akka.actor.typed.{ ActorRef, ActorSystem, Behavior }
+import java.util.concurrent.atomic.AtomicInteger
+import akka.event.Logging
+import akka.actor.typed.DispatcherSelector
+import java.util.concurrent.Semaphore
+
+object StaticActor {
+	final case class Dummy( cnt: Int )
+
+	def apply(): Behavior[Dummy] = Behaviors.receive { (context, message) =>
+		if ( message.cnt >= StaticMain.times ) {
+			if ( StaticMain.trials.get() > 0 ) {		// ignore trial 1
+				println( s"${(System.nanoTime() - StaticMain.startTime) / StaticMain.times}" )
+                // println( s"${StaticMain.times} ${(System.nanoTime() - StaticMain.startTime) * 1E-9}s" )
+			} // if
+			if ( StaticMain.trials.incrementAndGet() == StaticMain.NumTrials + 1 ) {
+				StaticMain.system ! StaticMain.Stop()
+			} else {
+				StaticMain.startTime = System.nanoTime() // reset for next trial
+				context.self ! Dummy( 0 )
+			} // if
+		} else {
+			context.self ! Dummy( message.cnt + 1 )		// send to self
+		} // if
+		Behaviors.same
+	}
+}
+
+object StaticMain {
+	sealed trait MainMessages
+	final case class Start() extends MainMessages
+	final case class Stop() extends MainMessages
+
+	val trials = new AtomicInteger(0)
+    val sem = new Semaphore(0)
+
+	var system : ActorSystem[MainMessages] = null
+	var startTime = System.nanoTime()
+	var times = 100_000_000; var NumTrials = 5
+
+	def apply(): Behavior[MainMessages] = Behaviors.setup { context =>
+		val actor = context.spawn(StaticActor(), "actor", DispatcherSelector.fromConfig("akka.dispatcher"))
+
+      	Behaviors.receiveMessage { message =>
+			message match {
+				case Start() =>
+					actor ! StaticActor.Dummy( 0 )					
+					Behaviors.same
+				case Stop() =>
+                    sem.release()
+					Behaviors.stopped
+			}
+      	}
+	}
+
+	def main(args: Array[String]): Unit = {
+		def usage() = {
+			println( "Usage: [ times (> 0) ]" );
+			System.exit( 0 );
+		}
+
+		args.length match {
+          case 2 =>
+            if ( args(1) != "d" ) { NumTrials = args(1).toInt }
+			if ( args(0) != "d" ) { times = args(0).toInt }
+			if ( times < 1 ) usage()
+		  case 1 =>
+			if ( args(0) != "d" ) { times = args(0).toInt }
+			if ( times < 1 ) usage()
+		  case 0 =>
+		  case _ =>
+			usage()
+		} // match
+
+		system = ActorSystem( StaticMain(), "Static" )
+		system ! Start()
+        sem.acquire()
+	}
+}
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: java //
+// compile-command: "sbt --warn -J-Xmx32g \"run\"" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/application.conf
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/application.conf	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,12 @@
+akka {
+   dispatcher {
+        type = Dispatcher
+        executor = "fork-join-executor"
+        fork-join-executor {
+            parallelism-factor = 2.0
+            parallelism-min = 1
+            parallelism-max = 1
+        }
+        throughput = 20
+   }
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/build.sbt
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/akka/SendStatic/build.sbt	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,11 @@
+name := "dummy"
+version := "0.0"
+scalaVersion := "2.13.1"
+scalacOptions += "-deprecation"
+lazy val akkaVersion = "2.6.14"
+
+libraryDependencies ++= Seq(
+	"com.typesafe.akka" %% "akka-actor-typed" % akkaVersion
+)
+libraryDependencies += "ch.qos.logback" % "logback-classic" % "1.1.3" % Runtime
+Compile / unmanagedResourceDirectories += baseDirectory.value
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/GoExecutor.go
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/GoExecutor.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/GoExecutor.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,116 @@
+// https://github.com/asynkron/protoactor-go
+// https://pkg.go.dev/github.com/asynkron/protoactor-go/actor
+package main
+
+import (
+	"os"; "strconv"; "fmt"; "time"; "runtime"; "sync/atomic"
+	"github.com/asynkron/protoactor-go/actor"
+)
+
+var Actors, Set, Rounds, Processors int = 40_000, 100, 100, 1 // default values
+var Batch int = 1
+var starttime time.Time;
+var shake = make( chan string )
+var actorCnt int64 = 0
+
+type Msg struct {}
+var msg Msg
+type Executor struct {
+	actors [] * actor.PID;
+	id, rounds, group, recs, sends int;
+}
+var system * actor.ActorSystem
+
+func ( state * Executor ) Receive( context actor.Context ) {
+	switch context.Message().(type) {
+	  case * Msg:
+		if state.recs == state.rounds {
+			if ( atomic.AddInt64( &actorCnt, 1 ) == int64(Actors) ) {
+				fmt.Printf( "%.2f\n", time.Since( starttime ).Seconds() );
+				shake <- "hand"
+			} // if
+			return;
+		} // if
+		if state.recs % Batch == 0 {
+			for i := 0; i < Batch; i += 1 {
+				system.Root.Send( state.actors[state.group + state.sends % Set], &msg ); // cycle through group
+				state.sends += 1;
+			}
+		}
+	  	state.recs += 1;
+		//fmt.Printf( "%v %v %v %v %v\n", state.id, state.group, state.recs, state.sends, state.group + state.sends % Set );
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func usage() {
+	fmt.Printf( "Usage: %v " +
+		"[ actors (> 0 && > set && actors % set == 0 ) | 'd' (default %v ) ] " +
+		"[ set (> 0) | 'd' (default %v) ] " +
+		"[ rounds (> 0) | 'd' (default %v) ] " +
+		"[ processors (> 0) | 'd' (default %v) ] " +
+		"[ batch (> 0) | 'd' (default %v) ]\n",
+		os.Args[0], Actors, Set, Rounds, Processors );
+	os.Exit( 1 );
+}
+
+func main() {
+	switch len( os.Args ) {
+	  case 6:
+		if os.Args[5] != "d" {							// default ?
+			Batch, _ = strconv.Atoi( os.Args[5] )
+			if Batch < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 5:
+		if os.Args[4] != "d" {							// default ?
+			Processors, _ = strconv.Atoi( os.Args[4] )
+			if Processors < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 4:
+		if os.Args[3] != "d" {							// default ?
+			Rounds, _ = strconv.Atoi( os.Args[3] )
+			if Rounds < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 3:
+		if os.Args[2] != "d" {							// default ?
+			Set, _ = strconv.Atoi( os.Args[2] )
+			if Set < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 2:
+		if os.Args[1] != "d" {							// default ?
+			Actors, _ = strconv.Atoi( os.Args[1] )
+			if Actors < 1 || Actors <= Set || Actors % Set != 0 { usage(); }
+		} // if
+	  case 1:											// use defaults
+	  default:
+		usage();
+	} // switch
+
+	runtime.GOMAXPROCS( Processors );
+	system = actor.NewActorSystem();
+
+	actors := make( [] *actor.PID, Actors, Actors );	// create actors
+	for id := 0; id < Actors; id += 1 {
+		props := actor.PropsFromProducer( func() actor.Actor {
+			return &Executor{ actors, id, Set * Rounds, id / Set * Set, 0, 0 }
+		} );
+		actors[id] = system.Root.Spawn( props );
+	} // for
+	starttime = time.Now();
+	for id := 0; id < Actors; id += 1 {					// start actors
+		system.Root.Send( actors[id], &msg );
+	} // for
+	<- shake
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" GoExecutor
+
+// Local Variables: //
+// tab-width: 4 //
+// compile-command: "go build" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.mod
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,32 @@
+module GoExecutor
+
+go 1.18
+
+require (
+	github.com/Workiva/go-datastructures v1.0.53 // indirect
+	github.com/asynkron/protoactor-go v0.0.0-20220528090104-f567b547ea07 // indirect
+	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/cespare/xxhash/v2 v2.1.2 // indirect
+	github.com/emirpasic/gods v1.18.1 // indirect
+	github.com/go-logr/logr v1.2.3 // indirect
+	github.com/go-logr/stdr v1.2.2 // indirect
+	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/google/uuid v1.3.0 // indirect
+	github.com/lithammer/shortuuid/v4 v4.0.0 // indirect
+	github.com/matttproud/golang_protobuf_extensions v1.0.2-0.20181231171920-c182affec369 // indirect
+	github.com/orcaman/concurrent-map v1.0.0 // indirect
+	github.com/prometheus/client_golang v1.12.2 // indirect
+	github.com/prometheus/client_model v0.2.0 // indirect
+	github.com/prometheus/common v0.34.0 // indirect
+	github.com/prometheus/procfs v0.7.3 // indirect
+	github.com/spaolacci/murmur3 v1.1.0 // indirect
+	go.opentelemetry.io/otel v1.7.0 // indirect
+	go.opentelemetry.io/otel/exporters/prometheus v0.30.0 // indirect
+	go.opentelemetry.io/otel/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/sdk v1.7.0 // indirect
+	go.opentelemetry.io/otel/sdk/export/metric v0.28.0 // indirect
+	go.opentelemetry.io/otel/sdk/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/trace v1.7.0 // indirect
+	golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a // indirect
+	google.golang.org/protobuf v1.28.0 // indirect
+)
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.sum
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Executor/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,527 @@
+cloud.google.com/go v0.26.0/go.mod h1:aQUYkXzVsufM+DwF1aE+0xfcU+56JwCaLick0ClmMTw=
+cloud.google.com/go v0.34.0/go.mod h1:aQUYkXzVsufM+DwF1aE+0xfcU+56JwCaLick0ClmMTw=
+cloud.google.com/go v0.38.0/go.mod h1:990N+gfupTy94rShfmMCWGDn0LpTmnzTp2qbd1dvSRU=
+cloud.google.com/go v0.44.1/go.mod h1:iSa0KzasP4Uvy3f1mN/7PiObzGgflwredwwASm/v6AU=
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+cloud.google.com/go v0.45.1/go.mod h1:RpBamKRgapWJb87xiFSdk4g1CME7QZg3uwTez+TSTjc=
+cloud.google.com/go v0.46.3/go.mod h1:a6bKKbmY7er1mI7TEI4lsAkts/mkhTSZK8w33B4RAg0=
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+cloud.google.com/go v0.52.0/go.mod h1:pXajvRH/6o3+F9jDHZWQ5PbGhn+o8w9qiu/CffaVdO4=
+cloud.google.com/go v0.53.0/go.mod h1:fp/UouUEsRkN6ryDKNW/Upv/JBKnv6WDthjR6+vze6M=
+cloud.google.com/go v0.54.0/go.mod h1:1rq2OEkV3YMf6n/9ZvGWI3GWw0VoqH/1x2nd8Is/bPc=
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+cloud.google.com/go/pubsub v1.0.1/go.mod h1:R0Gpsv3s54REJCy4fxDixWD93lHJMoZTyQ2kNxGRt3I=
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+honnef.co/go/tools v0.0.0-20190106161140-3f1c8253044a/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
+honnef.co/go/tools v0.0.0-20190418001031-e561f6794a2a/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
+honnef.co/go/tools v0.0.0-20190523083050-ea95bdfd59fc/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
+honnef.co/go/tools v0.0.1-2019.2.3/go.mod h1:a3bituU0lyd329TUQxRnasdCoJDkEUEAqEt0JzvZhAg=
+honnef.co/go/tools v0.0.1-2020.1.3/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k=
+honnef.co/go/tools v0.0.1-2020.1.4/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k=
+rsc.io/binaryregexp v0.2.0/go.mod h1:qTv7/COck+e2FymRvadv62gMdZztPaShugOCi3I+8D8=
+rsc.io/quote/v3 v3.1.0/go.mod h1:yEA65RcK8LyAZtP9Kv3t0HmxON59tX3rD+tICJqUlj0=
+rsc.io/sampler v1.3.0/go.mod h1:T1hPZKmBbMNahiBKFy5HrXp6adAjACjK9JXDnKaTXpA=
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/INSTALL
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/INSTALL	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/INSTALL	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,10 @@
+$ go get github.com/AsynkronIT/goconsole
+go: downloading github.com/AsynkronIT/goconsole v0.0.0-20160504192649-bfa12eebf716
+$ go get github.com/AsynkronIT/protoactor-go/mailbox
+go: downloading github.com/AsynkronIT/protoactor-go v0.0.0-20210520041424-43065ace108f
+go: downloading github.com/Workiva/go-datastructures v1.0.53
+$ go get github.com/AsynkronIT/protoactor-go/actor
+go: downloading github.com/orcaman/concurrent-map v0.0.0-20190107190726-7ed82d9cb717
+go: downloading github.com/gogo/protobuf v1.3.2
+go: downloading github.com/emirpasic/gods v1.12.0
+$ go build
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/GoMatrix.go
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/GoMatrix.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/GoMatrix.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,144 @@
+// https://github.com/AsynkronIT/protoactor-go
+// https://pkg.go.dev/github.com/AsynkronIT/protoactor-go/actor
+package main
+
+import (
+	"os"; "strconv"; "fmt"; "time"; "runtime"; "sync/atomic"
+	"github.com/asynkron/protoactor-go/actor"
+)
+
+var xr, xc, yc uint64 = 3_072, 3_072, 3_072 // default values
+
+var Processors int = 1
+
+var starttime time.Time;
+var shake = make( chan string )
+var actorCnt uint64 = 0
+
+type Msg struct {
+	Z []int
+	X []int
+	Y [][]int
+}
+
+func NewMsg( Z_ []int, X_ []int, Y_ [][]int ) *Msg {
+	return &Msg{ Z: Z_, X: X_, Y: Y_ }
+}
+
+var msg Msg
+type MatrixMult struct {
+	actors [] * actor.PID;
+	id, rounds, group, recs, sends int;
+}
+var system * actor.ActorSystem
+
+func ( state * MatrixMult ) Receive( context actor.Context ) {
+	switch msg := context.Message().(type) {
+	  case * Msg:
+		for i := uint64(0); i < yc; i += 1 {
+			msg.Z[i] = 0
+			for j := uint64(0); j < xc; j += 1 {
+				msg.Z[i] = msg.X[j] * msg.Y[j][i]
+			}
+		}
+
+		if ( atomic.AddUint64( &actorCnt, 1 ) == xr ) {
+			shake <- "hand"
+		} // if
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func usage() {
+	fmt.Printf( "Usage: %v " +
+		"[ yc (> 0) | 'd' (default %v) ] " +
+		"[ xc (> 0) | 'd' (default %v) ] " +
+		"[ xr (> 0) | 'd' (default %v) ]\n",
+		"[ processors (> 0) | 'd' (default %v) ]\n",
+		os.Args[0], yc, xc, xr, Processors );
+	os.Exit( 1 );
+}
+
+func main() {
+	switch len( os.Args ) {
+	  case 5:
+		if os.Args[4] != "d" {							// default ?
+			Processors, _ = strconv.Atoi( os.Args[4] )
+			if Processors < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 4:
+		if os.Args[3] != "d" {							// default ?
+			xr, _ = strconv.ParseUint( os.Args[3], 10, 64 )
+			if xr < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 3:
+		if os.Args[2] != "d" {							// default ?
+			xc, _ = strconv.ParseUint( os.Args[2], 10, 64 )
+			if xc < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 2:
+		if os.Args[1] != "d" {							// default ?
+			yc, _ = strconv.ParseUint( os.Args[1], 10, 64 )
+			if yc < 1 { usage(); }
+		} // if
+	  case 1:											// use defaults
+	  default:
+		usage();
+	} // switch
+
+	runtime.GOMAXPROCS( Processors );
+	system = actor.NewActorSystem();
+	
+
+	// set up matrices
+	X := make( [][]int, xr )
+	Y := make( [][]int, xc )
+	Z := make( [][]int, xr )
+	
+	for r := uint64(0); r < xr; r += 1 { // set up X subarrays
+		X[r] = make( []int, xc )
+		for c := uint64(0); c < xc; c += 1 { // set up X values
+			X[r][c] = int(r * c % 37)
+		}
+	}
+
+	for r := uint64(0); r < xc; r += 1 { // set up Y subarrays
+		Y[r] = make( []int, yc )
+		for c := uint64(0); c < yc; c += 1 { // set up Y values
+			Y[r][c] = int(r * c % 37)
+		}
+	}
+
+	for r := uint64(0); r < xr; r += 1 { // set up Z subarrays
+		Z[r] = make( []int, yc )
+	}
+
+	system = actor.NewActorSystem();
+
+	starttime = time.Now();
+	actors := make( [] * actor.PID, xr );
+	messages := make( []*Msg, xr );
+	for r := uint64(0); r < xr; r += 1 { // create messages and actors
+		messages[r] = NewMsg(Z[r], X[r], Y);
+		props := actor.PropsFromProducer( func() actor.Actor { return &MatrixMult{} })
+		actors[r] = system.Root.Spawn(props)
+	} // for
+	for r := uint64(0); r < xr; r += 1 { // send messages to actors
+		system.Root.Send( actors[r], messages[r] );
+	} // for
+
+	<- shake // wait for actors to finish
+
+	fmt.Printf( "%.2f\n", time.Since( starttime ).Seconds() );
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" GoMatrix
+
+// Local Variables: //
+// tab-width: 4 //
+// compile-command: "go build" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.mod
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,33 @@
+module GoMatrix
+
+go 1.18
+
+require github.com/asynkron/protoactor-go v0.0.0-20221002142108-880b460fcd1f
+
+require (
+	github.com/Workiva/go-datastructures v1.0.53 // indirect
+	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/cespare/xxhash/v2 v2.1.2 // indirect
+	github.com/emirpasic/gods v1.18.1 // indirect
+	github.com/go-logr/logr v1.2.3 // indirect
+	github.com/go-logr/stdr v1.2.2 // indirect
+	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/google/uuid v1.3.0 // indirect
+	github.com/lithammer/shortuuid/v4 v4.0.0 // indirect
+	github.com/matttproud/golang_protobuf_extensions v1.0.2-0.20181231171920-c182affec369 // indirect
+	github.com/orcaman/concurrent-map v1.0.0 // indirect
+	github.com/prometheus/client_golang v1.12.2 // indirect
+	github.com/prometheus/client_model v0.2.0 // indirect
+	github.com/prometheus/common v0.34.0 // indirect
+	github.com/prometheus/procfs v0.7.3 // indirect
+	github.com/spaolacci/murmur3 v1.1.0 // indirect
+	go.opentelemetry.io/otel v1.7.0 // indirect
+	go.opentelemetry.io/otel/exporters/prometheus v0.30.0 // indirect
+	go.opentelemetry.io/otel/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/sdk v1.7.0 // indirect
+	go.opentelemetry.io/otel/sdk/export/metric v0.28.0 // indirect
+	go.opentelemetry.io/otel/sdk/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/trace v1.7.0 // indirect
+	golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a // indirect
+	google.golang.org/protobuf v1.28.0 // indirect
+)
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.sum
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Matrix/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,535 @@
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Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/GoRepeat.go
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/GoRepeat.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/GoRepeat.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,148 @@
+// https://github.com/AsynkronIT/protoactor-go
+// https://pkg.go.dev/github.com/AsynkronIT/protoactor-go/actor
+package main
+
+import (
+	"os"; "strconv"; "fmt"; "time"; "runtime"; "sync/atomic"
+	"github.com/asynkron/protoactor-go/actor"
+)
+
+var Messages, Times uint64 = 100_000, 10
+var Processors int = 4
+
+var starttime time.Time;
+var shake = make( chan string )
+var actorCnt uint64 = 0
+
+type IntMsg struct { val int }
+type CharMsg struct { val rune }
+type StateMsg struct {}
+
+var statemsg StateMsg
+
+type Client struct {
+	servers [] * actor.PID;
+	intmsg [] IntMsg;
+	charmsg [] CharMsg;
+	results, times uint64;
+}
+type Server struct {}
+
+var system * actor.ActorSystem
+var client * actor.PID
+
+func ( state * Server ) Receive( context actor.Context ) {
+	switch msg := context.Message().(type) {
+	  case * IntMsg:
+		msg.val = 7
+		system.Root.Send( client, msg )
+	  case * CharMsg:
+		msg.val = 'x'
+		system.Root.Send( client, msg )
+	  case * StateMsg:
+		if ( atomic.AddUint64( &actorCnt, 1 ) == Messages + 1 ) {
+			shake <- "hand"
+		} // if
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func process( state * Client, context * actor.Context  ) {
+	state.results++
+	if ( state.results == 2 * Messages ) {
+		state.times += 1
+		if ( state.times == Times ) {
+			for i := uint64(0); i < Messages; i += 1 {
+				system.Root.Send( state.servers[i], &statemsg )
+			}
+			if ( atomic.AddUint64( &actorCnt, 1 ) == Messages + 1 ) {
+				shake <- "hand"
+			} // if
+			return
+		}
+		state.results = 0
+		system.Root.Send( (*context).Self(), &statemsg )
+	}
+}
+
+
+func ( state * Client ) Receive( context actor.Context ) {
+	switch context.Message().(type) {
+	  case * IntMsg:
+		process( state, &context )
+	  case * CharMsg:
+		process( state, &context )
+	  case * StateMsg:
+		for i := uint64(0); i < Messages; i += 1 {
+			system.Root.Send( state.servers[i], &state.intmsg[i] )
+			system.Root.Send( state.servers[i], &state.charmsg[i] )
+		}
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func usage() {
+	fmt.Printf( "Usage: %v " +
+		"[ messages (> 0) | 'd' (default %v) ] " +
+		"[ processors (> 0) | 'd' (default %v) ] " +
+		"[ Times (> 0) | 'd' (default %v) ]\n",
+		os.Args[0], Messages, Processors, Times );
+	os.Exit( 1 );
+}
+
+func main() {
+	switch len( os.Args ) {
+	  case 4:
+		if os.Args[3] != "d" {							// default ?
+			Times, _ = strconv.ParseUint( os.Args[3], 10, 64 )
+			if Times < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 3:
+		if os.Args[2] != "d" {							// default ?
+			Processors, _ = strconv.Atoi( os.Args[2] )
+			if Processors < 1 { usage(); }
+		} // if
+		fallthrough
+	  case 2:
+		if os.Args[1] != "d" {							// default ?
+			Messages, _ = strconv.ParseUint( os.Args[1], 10, 64 )
+			if Messages < 1 { usage(); }
+		} // if
+	  case 1:											// use defaults
+	  default:
+		usage();
+	} // switch
+
+	runtime.GOMAXPROCS( Processors );
+	
+	starttime = time.Now();
+
+	system = actor.NewActorSystem();
+	servers := make( [] * actor.PID, Messages );
+	intmsg := make( []IntMsg, Messages );
+	charmsg := make( []CharMsg, Messages );
+
+	props := actor.PropsFromProducer( func() actor.Actor { return &Client{ servers, intmsg, charmsg, 0, 0 } })
+	client = system.Root.Spawn(props)
+
+	for r := uint64(0); r < Messages; r += 1 { // create messages and actors
+		props := actor.PropsFromProducer( func() actor.Actor { return &Server{} })
+		servers[r] = system.Root.Spawn(props)
+	} // for
+
+	system.Root.Send( client, &statemsg );
+
+	<- shake // wait for actors to finish
+
+	fmt.Printf( "%.2f\n", time.Since( starttime ).Seconds() );
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" GoMatrix
+
+// Local Variables: //
+// tab-width: 4 //
+// compile-command: "go build" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.mod
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,33 @@
+module GoRepeat
+
+go 1.18
+
+require github.com/asynkron/protoactor-go v0.0.0-20221002142108-880b460fcd1f
+
+require (
+	github.com/Workiva/go-datastructures v1.0.53 // indirect
+	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/cespare/xxhash/v2 v2.1.2 // indirect
+	github.com/emirpasic/gods v1.18.1 // indirect
+	github.com/go-logr/logr v1.2.3 // indirect
+	github.com/go-logr/stdr v1.2.2 // indirect
+	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/google/uuid v1.3.0 // indirect
+	github.com/lithammer/shortuuid/v4 v4.0.0 // indirect
+	github.com/matttproud/golang_protobuf_extensions v1.0.2-0.20181231171920-c182affec369 // indirect
+	github.com/orcaman/concurrent-map v1.0.0 // indirect
+	github.com/prometheus/client_golang v1.12.2 // indirect
+	github.com/prometheus/client_model v0.2.0 // indirect
+	github.com/prometheus/common v0.34.0 // indirect
+	github.com/prometheus/procfs v0.7.3 // indirect
+	github.com/spaolacci/murmur3 v1.1.0 // indirect
+	go.opentelemetry.io/otel v1.7.0 // indirect
+	go.opentelemetry.io/otel/exporters/prometheus v0.30.0 // indirect
+	go.opentelemetry.io/otel/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/sdk v1.7.0 // indirect
+	go.opentelemetry.io/otel/sdk/export/metric v0.28.0 // indirect
+	go.opentelemetry.io/otel/sdk/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/trace v1.7.0 // indirect
+	golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a // indirect
+	google.golang.org/protobuf v1.28.0 // indirect
+)
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.sum
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/Repeat/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,535 @@
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Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/GoSendDynamic.go
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/GoSendDynamic.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/GoSendDynamic.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,65 @@
+// https://github.com/asynkron/protoactor-go
+// https://pkg.go.dev/github.com/asynkron/protoactor-go/actor
+package main
+
+import (
+	"os"; "strconv"; "fmt"; "time"; "runtime"
+	"github.com/asynkron/protoactor-go/actor"
+)
+
+var Times int = 2_000_000;
+var start time.Time;
+var shake = make( chan string )
+var system * actor.ActorSystem
+
+type Msg struct { cnt int }
+type Send struct{}
+
+func ( state * Send ) Receive( context actor.Context ) {
+	switch msg := context.Message().(type) {
+	  case * Msg:
+		if msg.cnt >= Times  {
+			fmt.Printf( "%v\n", int64(time.Since(start) / time.Duration(Times) / time.Nanosecond) );
+			shake <- "hand"
+			return;
+		} // if
+		//fmt.Printf( "Send %v\n", msg.cnt );
+		props := actor.PropsFromProducer( func() actor.Actor { return &Send{} } )
+		pid := system.Root.Spawn( props )
+		system.Root.Send( pid, &Msg{ msg.cnt + 1 } );
+		system.Root.Stop( context.Self() );
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func usage() {
+	fmt.Printf( "Usage: %v [ times (> 0) ]\n", os.Args[0] );
+	os.Exit( 1 );
+}
+
+func main() {
+	switch len( os.Args ) {
+	  case 2:
+		if os.Args[1] != "d" { Times, _ = strconv.Atoi( os.Args[1] ) }
+		if Times < 1 { usage(); }
+	  case 1:											// use defaults
+	  default:
+		usage();
+	} // switch
+
+	runtime.GOMAXPROCS(1);
+	system = actor.NewActorSystem();
+	props := actor.PropsFromProducer( func() actor.Actor { return &Send{} } );
+	pid := system.Root.Spawn(props);
+	start = time.Now();
+	system.Root.Send( pid, &Msg{ 0 } );
+	<- shake
+}
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" GoSendDynamic
+
+// Local Variables: //
+// tab-width: 4 //
+// compile-command: "go build" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.mod
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,32 @@
+module GoSendDynamic
+
+go 1.18
+
+require (
+	github.com/Workiva/go-datastructures v1.0.53 // indirect
+	github.com/asynkron/protoactor-go v0.0.0-20220528090104-f567b547ea07 // indirect
+	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/cespare/xxhash/v2 v2.1.2 // indirect
+	github.com/emirpasic/gods v1.18.1 // indirect
+	github.com/go-logr/logr v1.2.3 // indirect
+	github.com/go-logr/stdr v1.2.2 // indirect
+	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/google/uuid v1.3.0 // indirect
+	github.com/lithammer/shortuuid/v4 v4.0.0 // indirect
+	github.com/matttproud/golang_protobuf_extensions v1.0.2-0.20181231171920-c182affec369 // indirect
+	github.com/orcaman/concurrent-map v1.0.0 // indirect
+	github.com/prometheus/client_golang v1.12.2 // indirect
+	github.com/prometheus/client_model v0.2.0 // indirect
+	github.com/prometheus/common v0.34.0 // indirect
+	github.com/prometheus/procfs v0.7.3 // indirect
+	github.com/spaolacci/murmur3 v1.1.0 // indirect
+	go.opentelemetry.io/otel v1.7.0 // indirect
+	go.opentelemetry.io/otel/exporters/prometheus v0.30.0 // indirect
+	go.opentelemetry.io/otel/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/sdk v1.7.0 // indirect
+	go.opentelemetry.io/otel/sdk/export/metric v0.28.0 // indirect
+	go.opentelemetry.io/otel/sdk/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/trace v1.7.0 // indirect
+	golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a // indirect
+	google.golang.org/protobuf v1.28.0 // indirect
+)
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.sum
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendDynamic/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,527 @@
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+honnef.co/go/tools v0.0.1-2020.1.3/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k=
+honnef.co/go/tools v0.0.1-2020.1.4/go.mod h1:X/FiERA/W4tHapMX5mGpAtMSVEeEUOyHaw9vFzvIQ3k=
+rsc.io/binaryregexp v0.2.0/go.mod h1:qTv7/COck+e2FymRvadv62gMdZztPaShugOCi3I+8D8=
+rsc.io/quote/v3 v3.1.0/go.mod h1:yEA65RcK8LyAZtP9Kv3t0HmxON59tX3rD+tICJqUlj0=
+rsc.io/sampler v1.3.0/go.mod h1:T1hPZKmBbMNahiBKFy5HrXp6adAjACjK9JXDnKaTXpA=
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/GoSendStatic.go
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/GoSendStatic.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/GoSendStatic.go	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,64 @@
+// https://github.com/asynkron/protoactor-go
+// https://pkg.go.dev/github.com/asynkron/protoactor-go/actor
+package main
+
+import (
+	"os"; "strconv"; "fmt"; "time"; "runtime"
+	"github.com/asynkron/protoactor-go/actor"
+)
+
+var Times int = 100_000_000;
+var start time.Time;
+var shake = make( chan string )
+var system * actor.ActorSystem
+
+type Msg struct { cnt int }
+var msg Msg
+type Send struct{}
+
+func ( state * Send ) Receive( context actor.Context ) {
+	switch context.Message().(type) {
+	  case * Msg:
+		if msg.cnt >= Times  {
+			fmt.Printf( "%v\n", int64(time.Since(start) / time.Duration(Times) / time.Nanosecond) );
+			shake <- "hand"
+			return;
+		} // if
+		//fmt.Printf( "Send %v\n", msg.cnt );
+		msg.cnt += 1;
+		system.Root.Send( context.Self(), &msg );
+	  default:
+		// ignore actor.Started message
+	}
+}
+
+func usage() {
+	fmt.Printf( "Usage: %v [ times (> 0) ]\n", os.Args[0] );
+	os.Exit( 1 );
+}
+
+func main() {
+	switch len( os.Args ) {
+	  case 2:
+		if os.Args[1] != "d" { Times, _ = strconv.Atoi( os.Args[1] ) }
+		if Times < 1 { usage(); }
+	  case 1:											// use defaults
+	  default:
+		usage();
+	} // switch
+
+	runtime.GOMAXPROCS(1);
+	system = actor.NewActorSystem();
+	props := actor.PropsFromProducer( func() actor.Actor { return &Send{} } );
+	pid := system.Root.Spawn(props);
+	start = time.Now();
+	system.Root.Send( pid, &msg );
+	<- shake
+}
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" GoSendStatic
+
+// Local Variables: //
+// tab-width: 4 //
+// compile-command: "go build" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.mod
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.mod	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,33 @@
+module GoSendStatic
+
+go 1.18
+
+require github.com/asynkron/protoactor-go v0.0.0-20220528090104-f567b547ea07
+
+require (
+	github.com/Workiva/go-datastructures v1.0.53 // indirect
+	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/cespare/xxhash/v2 v2.1.2 // indirect
+	github.com/emirpasic/gods v1.18.1 // indirect
+	github.com/go-logr/logr v1.2.3 // indirect
+	github.com/go-logr/stdr v1.2.2 // indirect
+	github.com/golang/protobuf v1.5.2 // indirect
+	github.com/google/uuid v1.3.0 // indirect
+	github.com/lithammer/shortuuid/v4 v4.0.0 // indirect
+	github.com/matttproud/golang_protobuf_extensions v1.0.2-0.20181231171920-c182affec369 // indirect
+	github.com/orcaman/concurrent-map v1.0.0 // indirect
+	github.com/prometheus/client_golang v1.12.2 // indirect
+	github.com/prometheus/client_model v0.2.0 // indirect
+	github.com/prometheus/common v0.34.0 // indirect
+	github.com/prometheus/procfs v0.7.3 // indirect
+	github.com/spaolacci/murmur3 v1.1.0 // indirect
+	go.opentelemetry.io/otel v1.7.0 // indirect
+	go.opentelemetry.io/otel/exporters/prometheus v0.30.0 // indirect
+	go.opentelemetry.io/otel/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/sdk v1.7.0 // indirect
+	go.opentelemetry.io/otel/sdk/export/metric v0.28.0 // indirect
+	go.opentelemetry.io/otel/sdk/metric v0.30.0 // indirect
+	go.opentelemetry.io/otel/trace v1.7.0 // indirect
+	golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a // indirect
+	google.golang.org/protobuf v1.28.0 // indirect
+)
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.sum
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/proto/SendStatic/go.sum	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,527 @@
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Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Executor.cc
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Executor.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Executor.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,108 @@
+#include <iostream>
+using namespace std;
+#include <chrono>
+using namespace chrono;
+#include <uActor.h>
+
+int Actors = 40'000, Set = 100, Rounds = 100, Processors = 1, Batch = 1, Qscale = 512; // default values '
+struct Msg : public uActor::Message {} msg;
+time_point<steady_clock> starttime;
+
+_Actor Executor {
+	static int ids;										// unique actor id generator
+	Executor * gstart;
+	int id, rounds, recs = 0, sends = 0;
+
+	Allocation receive( Message & msg ) {
+		Case ( Msg, msg ) {
+			if ( recs == rounds ) return Finished;
+		  	if ( recs % Batch == 0 ) {
+				for ( int i = 0; i < Batch; i += 1 ) {
+					gstart[sends % Set] | msg;			// cycle through set
+					sends += 1;
+				} // for
+			} // if
+			recs += 1;
+		} // Case
+		return Nodelete;
+	} // Executor::receive
+  public:
+	Executor() {
+		id = ids++;										// unique actor id, and start point for cycle
+		gstart = &this[id / Set * Set - id];			// remember group-start array-element
+		rounds = Set * Rounds;							// send at least one message to each group member
+	} // Executor::Executor
+}; // Executor
+int Executor::ids = 0;
+
+size_t malloc_unfreed() { return 16621; }				// unfreed storage from locale
+//size_t malloc_expansion() { return 2 * 1024 * 1024; }
+
+int main( int argc, char * argv[] ) {
+	locale loc( getenv("LANG") );
+	cout.imbue( loc );
+
+	switch ( argc ) {
+	  case 7:
+		if ( strcmp( argv[6], "d" ) != 0 ) {			// default ?
+			Qscale = stoi( argv[6] );
+			if ( Qscale < 1 ) goto Usage;
+		} // if
+	  case 6:
+		if ( strcmp( argv[5], "d" ) != 0 ) {			// default ?
+			Batch = stoi( argv[5] );
+			if ( Batch < 1 ) goto Usage;
+		} // if
+	  case 5:
+		if ( strcmp( argv[4], "d" ) != 0 ) {			// default ?
+			Processors = stoi( argv[4] );
+			if ( Processors < 1 ) goto Usage;
+		} // if
+	  case 4:
+		if ( strcmp( argv[3], "d" ) != 0 ) {			// default ?
+			Rounds = stoi( argv[3] );
+			if ( Rounds < 1 ) goto Usage;
+		} // if
+	  case 3:
+		if ( strcmp( argv[2], "d" ) != 0 ) {			// default ?
+			Set = stoi( argv[2] );
+			if ( Set < 1 ) goto Usage;
+		} // if
+	  case 2:
+		if ( strcmp( argv[1], "d" ) != 0 ) {			// default ?
+			Actors = stoi( argv[1] );
+			if ( Actors < 1 || Actors <= Set || Actors % Set != 0 ) goto Usage;
+		} // if
+	  case 1:											// use defaults
+		break;
+	  default:
+	  Usage:
+		cerr << "Usage: " << argv[0]
+			 << " [ actors (> 0 && > set && actors % set == 0 ) | 'd' (default " << Actors
+			 << ") ] [ set (> 0) | 'd' (default " << Set
+			 << ") ] [ rounds (> 0) | 'd' (default " << Rounds
+			 << ") ] [ processors (> 0) | 'd' (default " << Processors
+			 << ") ] [ batch (> 0) | 'd' (default " << Batch
+			 << ") ] [ queue scale (> 0) | 'd' (default " << Qscale
+			 << ") ]" << endl;
+		exit( EXIT_FAILURE );
+	} // switch
+
+	uExecutor * executor = new uExecutor( Processors, Processors, // too large for task stack
+										  Processors == 1 ? 1 : Processors * Qscale, true, 0 );
+	uActor::start( executor );							// start actor system
+	Executor * actors = new Executor[Actors];			// too many actors for task stack
+	starttime = steady_clock::now();
+	for ( int i = 0; i < Actors; i += 1 ) actors[i] | msg; // start actors
+	uActor::stop();										// wait for all actors to terminate
+	cout << (steady_clock::now() - starttime).count() / 1'000'000'000.0 << endl; // '
+	delete [] actors;
+	delete executor;
+	// malloc_stats();
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" a.out
+
+// Local Variables: //
+// compile-command: "u++-work -g -Wall -Wextra -O3 -nodebug -DNDEBUG -multi uC++Executor.cc" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Matrix.cc
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Matrix.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Matrix.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,127 @@
+#include <iostream>
+#include <algorithm>
+using namespace std;
+#include <chrono>
+using namespace chrono;
+#include <uActor.h>
+
+unsigned int xr = 3'072, xc = 3'072, yc = 3'072, Processors = 1; // default values
+
+struct WorkMsg : public uActor::Message {				// derived message
+	int * Z;
+	const int * const X, * const * Y;
+	WorkMsg( int Z[], const int X[], const int * const Y[] ) :
+		Message( uActor::Finished ), Z( Z ), X( X ), Y( Y ) {} // one-shot
+}; // WorkMsg
+
+time_point<steady_clock> starttime;
+
+_Actor MatrixMult {
+	Allocation receive( Message & msg ) {
+		Case ( WorkMsg, msg ) {
+			int * z = msg_d->Z;							// optimizations
+			const int * const x = msg_d->X, * const * y = msg_d->Y;
+			for ( unsigned int i = 0; i < yc; i += 1 ) { // multiply X_row by Y_col and sum products
+				z[i] = 0;
+				for ( unsigned int j = 0; j < xc; j += 1 ) {
+					z[i] += x[j] * y[j][i];
+				} // for
+			} // for
+		} // Case
+
+		return Finished;
+	} // MatrixMult:::receive
+}; // MatrixMult
+
+int main( int argc, char * argv[] ) {
+	locale loc( getenv("LANG") );
+	cout.imbue( loc );
+
+	switch ( argc ) {
+	  case 5:
+		if ( strcmp( argv[4], "d" ) != 0 ) {			// default ?
+			Processors = stoi( argv[4] );
+			if ( Processors < 1 ) goto Usage;
+		} // if
+	  case 4:
+		if ( strcmp( argv[3], "d" ) != 0 ) {			// default ?
+			xr = stoi( argv[3] );
+			if ( xr < 1 ) goto Usage;
+		} // if
+	  case 3:
+		if ( strcmp( argv[2], "d" ) != 0 ) {			// default ?
+			xc = stoi( argv[2] );
+			if ( xc < 1 ) goto Usage;
+		} // if
+	  case 2:
+		if ( strcmp( argv[1], "d" ) != 0 ) {			// default ?
+			yc = stoi( argv[1] );
+			if ( yc < 1 ) goto Usage;
+		} // if
+	  case 1:											// use defaults
+		break;
+	  default:
+	  Usage:
+		cerr << "Usage: " << argv[0]
+			 << " [ yc (> 0) | 'd' (default " << yc
+			 << ") ] [ xc (> 0) | 'd' (default " << xc
+			 << ") ] [ xr (> 0) | 'd' (default " << xr
+			 << ") ] [ processors (> 0) | 'd' (default " << Processors
+			 << ") ]" << endl;
+		exit( EXIT_FAILURE );
+	} // switch
+
+	unsigned int r, c;
+	int * Z[xr], * X[xr], * Y[xc];
+
+	for ( r = 0; r < xr; r += 1 ) {						// create/initialize X matrix
+		X[r] = new int[xc];
+		for ( c = 0; c < xc; c += 1 ) {
+			X[r][c] = r * c % 37;						// for timing
+		} // for
+	} // for
+	for ( r = 0; r < xc; r += 1 ) {						// create/initialize Y matrix
+		Y[r] = new int[yc];
+		for ( c = 0; c < yc; c += 1 ) {
+			Y[r][c] = r * c % 37;						// for timing
+		} // for
+	} // for
+	for ( r = 0; r < xr; r += 1 ) {						// create Z matrix
+		Z[r] = new int[yc];
+	} // for
+
+	uExecutor * executor = new uExecutor( Processors, Processors, Processors == 1 ? 1 : Processors * 32, true, 0 );
+	uActor::start( executor );							// start actor system
+	uNoCtor<MatrixMult> * multiply = new uNoCtor<MatrixMult>[xr];
+	uNoCtor<WorkMsg> * workMsg = new uNoCtor<WorkMsg>[xr];	
+
+	for ( unsigned int r = 0; r < xr; r += 1 ) {
+		multiply[r].ctor();
+		workMsg[r].ctor( Z[r], X[r], (const int * const *)Y );
+	} // for
+
+	starttime = steady_clock::now();
+	for ( unsigned int r = 0; r < xr; r += 1 ) {
+		*multiply[r] | *workMsg[r];
+	} // for
+
+	uActor::stop();										// wait for all actors to terminate
+
+	cout << (steady_clock::now() - starttime).count() / 1'000'000'000.0 << endl;
+	
+	for ( r = 0; r < xr; r += 1 ) {						// deallocate X and Z matrices
+		delete [] X[r];
+		delete [] Z[r];
+	} // for
+	for ( r = 0; r < xc; r += 1 ) {						// deallocate Y matrix
+		delete [] Y[r];
+	} // for
+
+	// malloc_stats();
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" a.out
+
+// Local Variables: //
+// compile-command: "u++-work -g -Wall -Wextra -O3 -nodebug -DNDEBUG -multi uC++Matrix.cc" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Repeat.cc
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Repeat.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++Repeat.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,110 @@
+#include <string>
+using namespace std;
+#include <uActor.h>
+#include <chrono>
+using namespace chrono;
+#include <iostream>
+
+struct IntMsg : public uActor::SenderMsg { int val; };
+struct CharMsg : public uActor::SenderMsg { char val; };
+
+size_t Messages = 100'000, Processors = 4, QScale = 256, Times = 10;
+time_point<steady_clock> starttime;
+
+_Actor Server {
+	Allocation receive( uActor::Message & msg ) {
+		Case( IntMsg, msg ) { msg_d->val = 7; *msg_d->sender() | msg; }
+		else Case( CharMsg, msg ) { msg_d->val = 'x'; *msg_d->sender() | msg; }
+		else Case( StopMsg, msg ) { return Finished; }
+		return Nodelete;								// reuse actor
+	}
+};
+
+Server * servers;
+
+_Actor Client {
+	IntMsg * intmsg;
+	CharMsg * charmsg;
+	size_t results = 0, times = 0;
+
+	Allocation reset() {
+		times += 1;
+		if ( times == Times ) {
+			for ( unsigned int i = 0; i < Messages; i += 1 ) {
+				servers[i] | uActor::stopMsg;
+			} // for
+			return Finished;
+		}
+		results = 0;
+		*this | uActor::startMsg;						// restart experiment
+		return Nodelete;
+	}
+
+	Allocation receive( uActor::Message & msg ) {		// receive callback messages
+		Case( IntMsg, msg ) results += 1;
+		else Case( CharMsg, msg ) results += 1;
+		else Case( StartMsg, msg ) {
+			for ( size_t i = 0; i < Messages; i += 1 ) { // send out work
+				servers[i] | intmsg[i];					// tell send
+				servers[i] | charmsg[i];
+			}
+		}
+		if ( results == 2 * Messages ) return reset();	// all messages handled ?
+		return Nodelete;								// reuse actor
+	}
+  public:
+	Client() {
+		intmsg = new IntMsg[Messages];
+		charmsg = new CharMsg[Messages];
+	}
+	~Client() {
+		delete [] charmsg;
+		delete [] intmsg;
+	}
+};
+
+int main( int argc, char * argv[] ) {
+	switch ( argc ) {
+	  case 5:
+		if ( strcmp( argv[4], "d" ) != 0 ) {			// default ?
+			QScale = stoi( argv[4] );
+			if ( QScale < 1 ) goto Usage;
+		} // if
+      case 4:
+		if ( strcmp( argv[3], "d" ) != 0 ) {			// default ?
+			Times = stoi( argv[3] );
+			if ( Times < 1 ) goto Usage;
+		} // if
+	  case 3:
+		if ( strcmp( argv[2], "d" ) != 0 ) {			// default ?
+			Processors = stoi( argv[2] );
+			if ( Processors < 1 ) goto Usage;
+		} // if
+	  case 2:
+		if ( strcmp( argv[1], "d" ) != 0 ) {			// default ?
+			Messages = stoi( argv[1] );
+			if ( Messages < 1 ) goto Usage;
+		} // if
+	  case 1:											// use defaults
+		break;
+	  default:
+	  Usage:
+		cerr << "Usage: " << argv[0]
+			 << ") ] [ messages (> 0) | 'd' (default " << Messages
+			 << ") ] [ processors (> 0) | 'd' (default " << Processors
+             << ") ] [ Times (> 0) | 'd' (default " << Times
+			 << ") ] [ qscale (> 0) | 'd' (default " << QScale
+			 << ") ]" << endl;
+		exit( EXIT_FAILURE );
+	} // switch
+
+	uExecutor executor( Processors, Processors, Processors == 1 ? 1 : Processors * QScale, true, -1 );
+	time_point<steady_clock> starttime = steady_clock::now();
+    uActor::start( &executor );							// start actor system
+	servers = new Server[Messages];
+	Client client;
+	client | uActor::startMsg;							// start actors
+	uActor::stop();										// wait for all actors to terminate
+	cout << (steady_clock::now() - starttime).count() / 1'000'000'000.0 << endl;
+	delete [] servers;
+}
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendDynamic.cc
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendDynamic.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendDynamic.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,49 @@
+#include <iostream>
+using namespace std;
+#include <chrono>
+using namespace chrono;
+#include <uActor.h>
+
+int Times = 100'000'000;								// default values
+time_point<steady_clock> starttime;
+
+struct Msg : public uActor::Message { int cnt; Msg( int cnt ) : Message( uActor::Delete ), cnt( cnt ) {} };
+
+_Actor Send {
+	Allocation receive( Message & msg ) {
+		Case ( Msg, msg ) {
+			if ( msg_d->cnt >= Times ) {
+				cout << (steady_clock::now() - starttime).count() / Times << endl;
+				return Delete;
+			} // if
+			//cout << msg_d->cnt << endl;
+			*(new Send) | *new Msg{ msg_d->cnt + 1 };	// dynamic actor / message send self
+		} // Case
+		return Delete;
+	} // Send:::receive
+}; // Send
+
+int main( int argc, char * argv[] ) {
+	switch ( argc ) {
+	  case 2:
+		if ( strcmp( argv[1], "d" ) != 0 ) { Times = stoi( argv[1] ); }
+		if ( Times < 1 ) goto Usage;
+	  case 1:											// use defaults
+		break;
+	  default:
+	  Usage:
+		cerr << "Usage: " << argv[0] << " [ times (> 0) ]" << endl;
+		exit( EXIT_FAILURE );
+	} // switch
+
+	uActor::start();									// start actor system
+	starttime = steady_clock::now();
+	*(new Send) | *new Msg{ 0 };
+	uActor::stop();										// wait for all actors to terminate
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" a.out
+
+// Local Variables: //
+// compile-command: "u++-work -g -Wall -Wextra -O3 -nodebug -DNDEBUG -multi uC++SendDynamic.cc" //
+// End: //
Index: doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendStatic.cc
===================================================================
--- doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendStatic.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
+++ doc/theses/colby_parsons_MMAth/benchmarks/actors/ucpp/uC++SendStatic.cc	(revision 5adf4f40bf9943fd5fbd486b85a2b808f88e5363)
@@ -0,0 +1,51 @@
+#include <iostream>
+using namespace std;
+#include <chrono>
+using namespace chrono;
+#include <uActor.h>
+
+int Times = 100'000'000;								// default values
+time_point<steady_clock> starttime;
+
+struct Msg : public uActor::Message { int cnt; Msg( int cnt ) : cnt( cnt ) {} } msg{ 0 }; // default Nodelete
+
+_Actor Send {
+	Allocation receive( Message & msg ) {
+		Case ( Msg, msg ) {
+			if ( msg_d->cnt >= Times ) {
+				cout << (steady_clock::now() - starttime).count() / Times << endl;
+				return Finished;
+			} // if
+			//cout << msg_d->cnt << endl;
+			msg_d->cnt += 1;
+			*this | *msg_d;								// static actor / message send self
+		} // Case
+		return Nodelete;
+	} // Send:::receive
+}; // Send
+
+int main( int argc, char * argv[] ) {
+	switch ( argc ) {
+	  case 2:
+		if ( strcmp( argv[1], "d" ) != 0 ) { Times = stoi( argv[1] ); }
+		if ( Times < 1 ) goto Usage;
+	  case 1:											// use defaults
+		break;
+	  default:
+	  Usage:
+		cerr << "Usage: " << argv[0] << " [ times (> 0) ]" << endl;
+		exit( EXIT_FAILURE );
+	} // switch
+
+	uActor::start();									// start actor system
+	starttime = steady_clock::now();
+	Send send;
+	send | msg;
+	uActor::stop();										// wait for all actors to terminate
+} // main
+
+// /usr/bin/time -f "%Uu %Ss %Er %Mkb" a.out
+
+// Local Variables: //
+// compile-command: "u++-work -g -Wall -Wextra -O3 -nodebug -DNDEBUG -multi uC++SendStatic.cc" //
+// End: //
