diff --git a/LICENSE b/LICENSE
--- a/LICENSE
+++ b/LICENSE
@@ -1,30 +1,30 @@
-Copyright (c) 2009, 2010, 2011, 2012, 2013, 2014 David Sorokin <david.sorokin@gmail.com>
-
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions
-are met:
-
-1. Redistributions of source code must retain the above copyright
-   notice, this list of conditions and the following disclaimer.
-
-2. Redistributions in binary form must reproduce the above copyright
-   notice, this list of conditions and the following disclaimer in the
-   documentation and/or other materials provided with the distribution.
-
-3. Neither the name of the author nor the names of his contributors
-   may be used to endorse or promote products derived from this software
-   without specific prior written permission.
-
-THIS SOFTWARE IS PROVIDED BY THE AUTHORS ``AS IS'' AND
-ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE
-FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-SUCH DAMAGE.
+Copyright (c) 2009, 2010, 2011, 2012, 2013, 2014 David Sorokin <david.sorokin@gmail.com>
+
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+
+1. Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+
+3. Neither the name of the author nor the names of his contributors
+   may be used to endorse or promote products derived from this software
+   without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
diff --git a/Setup.lhs b/Setup.lhs
--- a/Setup.lhs
+++ b/Setup.lhs
@@ -1,3 +1,3 @@
-#!/usr/bin/env runhaskell
-> import Distribution.Simple
-> main = defaultMain
+#!/usr/bin/env runhaskell
+> import Distribution.Simple
+> main = defaultMain
diff --git a/Simulation/Aivika.hs b/Simulation/Aivika.hs
--- a/Simulation/Aivika.hs
+++ b/Simulation/Aivika.hs
@@ -1,81 +1,85 @@
-
--- |
--- Module     : Simulation.Aivika
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module re-exports the most part of the library functionality.
--- But there are modules that must be imported explicitly.
---
-module Simulation.Aivika
-       (-- * Modules
-        module Simulation.Aivika.Agent,
-        module Simulation.Aivika.Arrival,
-        module Simulation.Aivika.Circuit,
-        module Simulation.Aivika.Cont,
-        module Simulation.Aivika.Dynamics,
-        module Simulation.Aivika.Dynamics.Interpolate,
-        module Simulation.Aivika.Dynamics.Memo.Unboxed,
-        module Simulation.Aivika.Dynamics.Random,
-        module Simulation.Aivika.Event,
-        module Simulation.Aivika.Generator,
-        module Simulation.Aivika.Net,
-        module Simulation.Aivika.Parameter,
-        module Simulation.Aivika.Parameter.Random,
-        module Simulation.Aivika.Process,
-        module Simulation.Aivika.Processor,
-        module Simulation.Aivika.Processor.RoundRobbin,
-        module Simulation.Aivika.QueueStrategy,
-        module Simulation.Aivika.Ref,
-        module Simulation.Aivika.Resource,
-        module Simulation.Aivika.Results,
-        module Simulation.Aivika.Results.Locale,
-        module Simulation.Aivika.Results.IO,
-        module Simulation.Aivika.Server,
-        module Simulation.Aivika.Signal,
-        module Simulation.Aivika.Simulation,
-        module Simulation.Aivika.Specs,
-        module Simulation.Aivika.Statistics,
-        module Simulation.Aivika.Statistics.Accumulator,
-        module Simulation.Aivika.Stream,
-        module Simulation.Aivika.Stream.Random,
-        module Simulation.Aivika.Task,
-        module Simulation.Aivika.Transform,
-        module Simulation.Aivika.Var.Unboxed) where
-
-import Simulation.Aivika.Agent
-import Simulation.Aivika.Arrival
-import Simulation.Aivika.Circuit
-import Simulation.Aivika.Cont
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Dynamics.Interpolate
-import Simulation.Aivika.Dynamics.Memo.Unboxed
-import Simulation.Aivika.Dynamics.Random
-import Simulation.Aivika.Event
-import Simulation.Aivika.Generator
-import Simulation.Aivika.Net
-import Simulation.Aivika.Parameter
-import Simulation.Aivika.Parameter.Random
-import Simulation.Aivika.Process
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Processor.RoundRobbin
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Ref
-import Simulation.Aivika.Resource
-import Simulation.Aivika.Results
-import Simulation.Aivika.Results.Locale
-import Simulation.Aivika.Results.IO
-import Simulation.Aivika.Server
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Specs
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Statistics.Accumulator
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Stream.Random
-import Simulation.Aivika.Task
-import Simulation.Aivika.Transform
-import Simulation.Aivika.Var.Unboxed
+
+-- |
+-- Module     : Simulation.Aivika
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module re-exports the most part of the library functionality.
+-- But there are modules that must be imported explicitly.
+--
+module Simulation.Aivika
+       (-- * Modules
+        module Simulation.Aivika.Agent,
+        module Simulation.Aivika.Arrival,
+        module Simulation.Aivika.Circuit,
+        module Simulation.Aivika.Cont,
+        module Simulation.Aivika.Dynamics,
+        module Simulation.Aivika.Dynamics.Extra,
+        module Simulation.Aivika.Dynamics.Memo.Unboxed,
+        module Simulation.Aivika.Dynamics.Random,
+        module Simulation.Aivika.Event,
+        module Simulation.Aivika.Generator,
+        module Simulation.Aivika.Net,
+        module Simulation.Aivika.Parameter,
+        module Simulation.Aivika.Parameter.Random,
+        module Simulation.Aivika.Process,
+        module Simulation.Aivika.Processor,
+        module Simulation.Aivika.Processor.RoundRobbin,
+        module Simulation.Aivika.QueueStrategy,
+        module Simulation.Aivika.Ref,
+        module Simulation.Aivika.Resource,
+        module Simulation.Aivika.Results,
+        module Simulation.Aivika.Results.Locale,
+        module Simulation.Aivika.Results.IO,
+        module Simulation.Aivika.Server,
+        module Simulation.Aivika.Signal,
+        module Simulation.Aivika.Simulation,
+        module Simulation.Aivika.Specs,
+        module Simulation.Aivika.Statistics,
+        module Simulation.Aivika.Statistics.Accumulator,
+        module Simulation.Aivika.Stream,
+        module Simulation.Aivika.Stream.Random,
+        module Simulation.Aivika.Task,
+        module Simulation.Aivika.Transform,
+        module Simulation.Aivika.Transform.Extra,
+        module Simulation.Aivika.Transform.Memo.Unboxed,
+        module Simulation.Aivika.Var.Unboxed) where
+
+import Simulation.Aivika.Agent
+import Simulation.Aivika.Arrival
+import Simulation.Aivika.Circuit
+import Simulation.Aivika.Cont
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Dynamics.Memo.Unboxed
+import Simulation.Aivika.Dynamics.Random
+import Simulation.Aivika.Event
+import Simulation.Aivika.Generator
+import Simulation.Aivika.Net
+import Simulation.Aivika.Parameter
+import Simulation.Aivika.Parameter.Random
+import Simulation.Aivika.Process
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Processor.RoundRobbin
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Resource
+import Simulation.Aivika.Results
+import Simulation.Aivika.Results.Locale
+import Simulation.Aivika.Results.IO
+import Simulation.Aivika.Server
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Specs
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Statistics.Accumulator
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Stream.Random
+import Simulation.Aivika.Task
+import Simulation.Aivika.Transform
+import Simulation.Aivika.Transform.Extra
+import Simulation.Aivika.Transform.Memo.Unboxed
+import Simulation.Aivika.Var.Unboxed
diff --git a/Simulation/Aivika/Agent.hs b/Simulation/Aivika/Agent.hs
--- a/Simulation/Aivika/Agent.hs
+++ b/Simulation/Aivika/Agent.hs
@@ -1,252 +1,252 @@
-
--- |
--- Module     : Simulation.Aivika.Agent
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module introduces basic entities for the agent-based modeling.
---
-module Simulation.Aivika.Agent
-       (Agent,
-        AgentState,
-        newAgent,
-        newState,
-        newSubstate,
-        selectedState,
-        selectedStateChanged,
-        selectedStateChanged_,
-        selectState,
-        stateAgent,
-        stateParent,
-        addTimeout,
-        addTimer,
-        setStateActivation,
-        setStateDeactivation,
-        setStateTransition) where
-
-import Data.IORef
-import Control.Monad
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-
---
--- Agent-based Modeling
---
-
--- | Represents an agent.
-data Agent = Agent { agentModeRef            :: IORef AgentMode,
-                     agentStateRef           :: IORef (Maybe AgentState), 
-                     agentStateChangedSource :: SignalSource (Maybe AgentState) }
-
--- | Represents the agent state.
-data AgentState = AgentState { stateAgent         :: Agent,
-                               -- ^ Return the corresponded agent.
-                               stateParent        :: Maybe AgentState,
-                               -- ^ Return the parent state or 'Nothing'.
-                               stateActivateRef   :: IORef (Event ()),
-                               stateDeactivateRef :: IORef (Event ()),
-                               stateTransitRef    :: IORef (Event (Maybe AgentState)),
-                               stateVersionRef    :: IORef Int }
-                  
-data AgentMode = CreationMode
-               | TransientMode
-               | ProcessingMode
-                      
-instance Eq Agent where
-  x == y = agentStateRef x == agentStateRef y      -- unique references
-  
-instance Eq AgentState where
-  x == y = stateVersionRef x == stateVersionRef y  -- unique references
-
-fullPath :: AgentState -> [AgentState] -> [AgentState]
-fullPath st acc =
-  case stateParent st of
-    Nothing  -> st : acc
-    Just st' -> fullPath st' (st : acc)
-
-partitionPath :: [AgentState] -> [AgentState] -> ([AgentState], [AgentState])
-partitionPath path1 path2 =
-  case (path1, path2) of
-    (h1 : t1, [h2]) | h1 == h2 -> 
-      (reverse path1, path2)
-    (h1 : t1, h2 : t2) | h1 == h2 -> 
-      partitionPath t1 t2
-    _ ->
-      (reverse path1, path2)
-
-findPath :: Maybe AgentState -> AgentState -> ([AgentState], [AgentState])
-findPath Nothing target = ([], fullPath target [])
-findPath (Just source) target
-  | stateAgent source /= stateAgent target =
-    error "Different agents: findPath."
-  | otherwise =
-    partitionPath path1 path2
-  where
-    path1 = fullPath source []
-    path2 = fullPath target []
-
-traversePath :: Maybe AgentState -> AgentState -> Event ()
-traversePath source target =
-  let (path1, path2) = findPath source target
-      agent = stateAgent target
-      activate st p   = invokeEvent p =<< readIORef (stateActivateRef st)
-      deactivate st p = invokeEvent p =<< readIORef (stateDeactivateRef st)
-      transit st p    = invokeEvent p =<< readIORef (stateTransitRef st)
-      continue st p   = invokeEvent p $ traversePath (Just target) st
-  in Event $ \p ->
-       unless (null path1 && null path2) $
-       do writeIORef (agentModeRef agent) TransientMode
-          forM_ path1 $ \st ->
-            do writeIORef (agentStateRef agent) (Just st)
-               deactivate st p
-               -- it makes all timeout and timer handlers outdated
-               modifyIORef (stateVersionRef st) (1 +)
-          forM_ path2 $ \st ->
-            do writeIORef (agentStateRef agent) (Just st)
-               activate st p
-          st' <- transit target p
-          case st' of
-            Nothing ->
-              do writeIORef (agentModeRef agent) ProcessingMode
-                 triggerAgentStateChanged p agent
-            Just st' ->
-              continue st' p
-
--- | Add to the state a timeout handler that will be actuated 
--- in the specified time period, while the state remains active.
-addTimeout :: AgentState -> Double -> Event () -> Event ()
-addTimeout st dt action =
-  Event $ \p ->
-  do v <- readIORef (stateVersionRef st)
-     let m1 = Event $ \p ->
-           do v' <- readIORef (stateVersionRef st)
-              when (v == v') $
-                invokeEvent p action
-         m2 = enqueueEvent (pointTime p + dt) m1
-     invokeEvent p m2
-
--- | Add to the state a timer handler that will be actuated
--- in the specified time period and then repeated again many times,
--- while the state remains active.
-addTimer :: AgentState -> Event Double -> Event () -> Event ()
-addTimer st dt action =
-  Event $ \p ->
-  do v <- readIORef (stateVersionRef st)
-     let m1 = Event $ \p ->
-           do v' <- readIORef (stateVersionRef st)
-              when (v == v') $
-                do invokeEvent p m2
-                   invokeEvent p action
-         m2 = Event $ \p ->
-           do dt' <- invokeEvent p dt
-              invokeEvent p $ enqueueEvent (pointTime p + dt') m1
-     invokeEvent p m2
-
--- | Create a new state.
-newState :: Agent -> Simulation AgentState
-newState agent =
-  Simulation $ \r ->
-  do aref <- newIORef $ return ()
-     dref <- newIORef $ return ()
-     tref <- newIORef $ return Nothing
-     vref <- newIORef 0
-     return AgentState { stateAgent = agent,
-                         stateParent = Nothing,
-                         stateActivateRef = aref,
-                         stateDeactivateRef = dref,
-                         stateTransitRef = tref,
-                         stateVersionRef = vref }
-
--- | Create a child state.
-newSubstate :: AgentState -> Simulation AgentState
-newSubstate parent =
-  Simulation $ \r ->
-  do let agent = stateAgent parent 
-     aref <- newIORef $ return ()
-     dref <- newIORef $ return ()
-     tref <- newIORef $ return Nothing
-     vref <- newIORef 0
-     return AgentState { stateAgent = agent,
-                         stateParent = Just parent,
-                         stateActivateRef= aref,
-                         stateDeactivateRef = dref,
-                         stateTransitRef = tref,
-                         stateVersionRef = vref }
-
--- | Create an agent.
-newAgent :: Simulation Agent
-newAgent =
-  Simulation $ \r ->
-  do modeRef  <- newIORef CreationMode
-     stateRef <- newIORef Nothing
-     stateChangedSource <- invokeSimulation r newSignalSource
-     return Agent { agentModeRef = modeRef,
-                    agentStateRef = stateRef, 
-                    agentStateChangedSource = stateChangedSource }
-
--- | Return the selected active state.
-selectedState :: Agent -> Event (Maybe AgentState)
-selectedState agent =
-  Event $ \p -> readIORef (agentStateRef agent)
-                   
--- | Select the state. The activation and selection are repeated while
--- there is the transition state defined by 'setStateTransition'.
-selectState :: AgentState -> Event ()
-selectState st =
-  Event $ \p ->
-  do let agent = stateAgent st
-     mode <- readIORef (agentModeRef agent)
-     case mode of
-       CreationMode ->
-         do x0 <- readIORef (agentStateRef agent)
-            invokeEvent p $ traversePath x0 st
-       TransientMode ->
-         error $
-         "Use the setStateTransition function to define " ++
-         "the transition state: activateState."
-       ProcessingMode ->
-         do x0 @ (Just st0) <- readIORef (agentStateRef agent)
-            invokeEvent p $ traversePath x0 st
-
--- | Set the activation computation for the specified state.
-setStateActivation :: AgentState -> Event () -> Simulation ()
-setStateActivation st action =
-  Simulation $ \r ->
-  writeIORef (stateActivateRef st) action
-  
--- | Set the deactivation computation for the specified state.
-setStateDeactivation :: AgentState -> Event () -> Simulation ()
-setStateDeactivation st action =
-  Simulation $ \r ->
-  writeIORef (stateDeactivateRef st) action
-  
--- | Set the transition state which will be next and which is used only
--- when selecting the state directly with help of 'selectState'.
--- If the state was activated intermediately, when selecting
--- another state, then this computation is not used.
-setStateTransition :: AgentState -> Event (Maybe AgentState) -> Simulation ()
-setStateTransition st action =
-  Simulation $ \r ->
-  writeIORef (stateTransitRef st) action
-  
--- | Trigger the signal when the agent state changes.
-triggerAgentStateChanged :: Point -> Agent -> IO ()
-triggerAgentStateChanged p agent =
-  do st <- readIORef (agentStateRef agent)
-     invokeEvent p $ triggerSignal (agentStateChangedSource agent) st
-
--- | Return a signal that notifies about every change of the selected state.
-selectedStateChanged :: Agent -> Signal (Maybe AgentState)
-selectedStateChanged agent =
-  publishSignal (agentStateChangedSource agent)
-
--- | Return a signal that notifies about every change of the selected state.
-selectedStateChanged_ :: Agent -> Signal ()
-selectedStateChanged_ agent =
-  mapSignal (const ()) $ selectedStateChanged agent
+
+-- |
+-- Module     : Simulation.Aivika.Agent
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module introduces basic entities for the agent-based modeling.
+--
+module Simulation.Aivika.Agent
+       (Agent,
+        AgentState,
+        newAgent,
+        newState,
+        newSubstate,
+        selectedState,
+        selectedStateChanged,
+        selectedStateChanged_,
+        selectState,
+        stateAgent,
+        stateParent,
+        addTimeout,
+        addTimer,
+        setStateActivation,
+        setStateDeactivation,
+        setStateTransition) where
+
+import Data.IORef
+import Control.Monad
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+
+--
+-- Agent-based Modeling
+--
+
+-- | Represents an agent.
+data Agent = Agent { agentModeRef            :: IORef AgentMode,
+                     agentStateRef           :: IORef (Maybe AgentState), 
+                     agentStateChangedSource :: SignalSource (Maybe AgentState) }
+
+-- | Represents the agent state.
+data AgentState = AgentState { stateAgent         :: Agent,
+                               -- ^ Return the corresponded agent.
+                               stateParent        :: Maybe AgentState,
+                               -- ^ Return the parent state or 'Nothing'.
+                               stateActivateRef   :: IORef (Event ()),
+                               stateDeactivateRef :: IORef (Event ()),
+                               stateTransitRef    :: IORef (Event (Maybe AgentState)),
+                               stateVersionRef    :: IORef Int }
+                  
+data AgentMode = CreationMode
+               | TransientMode
+               | ProcessingMode
+                      
+instance Eq Agent where
+  x == y = agentStateRef x == agentStateRef y      -- unique references
+  
+instance Eq AgentState where
+  x == y = stateVersionRef x == stateVersionRef y  -- unique references
+
+fullPath :: AgentState -> [AgentState] -> [AgentState]
+fullPath st acc =
+  case stateParent st of
+    Nothing  -> st : acc
+    Just st' -> fullPath st' (st : acc)
+
+partitionPath :: [AgentState] -> [AgentState] -> ([AgentState], [AgentState])
+partitionPath path1 path2 =
+  case (path1, path2) of
+    (h1 : t1, [h2]) | h1 == h2 -> 
+      (reverse path1, path2)
+    (h1 : t1, h2 : t2) | h1 == h2 -> 
+      partitionPath t1 t2
+    _ ->
+      (reverse path1, path2)
+
+findPath :: Maybe AgentState -> AgentState -> ([AgentState], [AgentState])
+findPath Nothing target = ([], fullPath target [])
+findPath (Just source) target
+  | stateAgent source /= stateAgent target =
+    error "Different agents: findPath."
+  | otherwise =
+    partitionPath path1 path2
+  where
+    path1 = fullPath source []
+    path2 = fullPath target []
+
+traversePath :: Maybe AgentState -> AgentState -> Event ()
+traversePath source target =
+  let (path1, path2) = findPath source target
+      agent = stateAgent target
+      activate st p   = invokeEvent p =<< readIORef (stateActivateRef st)
+      deactivate st p = invokeEvent p =<< readIORef (stateDeactivateRef st)
+      transit st p    = invokeEvent p =<< readIORef (stateTransitRef st)
+      continue st p   = invokeEvent p $ traversePath (Just target) st
+  in Event $ \p ->
+       unless (null path1 && null path2) $
+       do writeIORef (agentModeRef agent) TransientMode
+          forM_ path1 $ \st ->
+            do writeIORef (agentStateRef agent) (Just st)
+               deactivate st p
+               -- it makes all timeout and timer handlers outdated
+               modifyIORef (stateVersionRef st) (1 +)
+          forM_ path2 $ \st ->
+            do writeIORef (agentStateRef agent) (Just st)
+               activate st p
+          st' <- transit target p
+          case st' of
+            Nothing ->
+              do writeIORef (agentModeRef agent) ProcessingMode
+                 triggerAgentStateChanged p agent
+            Just st' ->
+              continue st' p
+
+-- | Add to the state a timeout handler that will be actuated 
+-- in the specified time period if the state will remain active.
+addTimeout :: AgentState -> Double -> Event () -> Event ()
+addTimeout st dt action =
+  Event $ \p ->
+  do v <- readIORef (stateVersionRef st)
+     let m1 = Event $ \p ->
+           do v' <- readIORef (stateVersionRef st)
+              when (v == v') $
+                invokeEvent p action
+         m2 = enqueueEvent (pointTime p + dt) m1
+     invokeEvent p m2
+
+-- | Add to the state a timer handler that will be actuated
+-- in the specified time period and then repeated again many times,
+-- while the state remains active.
+addTimer :: AgentState -> Event Double -> Event () -> Event ()
+addTimer st dt action =
+  Event $ \p ->
+  do v <- readIORef (stateVersionRef st)
+     let m1 = Event $ \p ->
+           do v' <- readIORef (stateVersionRef st)
+              when (v == v') $
+                do invokeEvent p m2
+                   invokeEvent p action
+         m2 = Event $ \p ->
+           do dt' <- invokeEvent p dt
+              invokeEvent p $ enqueueEvent (pointTime p + dt') m1
+     invokeEvent p m2
+
+-- | Create a new state.
+newState :: Agent -> Simulation AgentState
+newState agent =
+  Simulation $ \r ->
+  do aref <- newIORef $ return ()
+     dref <- newIORef $ return ()
+     tref <- newIORef $ return Nothing
+     vref <- newIORef 0
+     return AgentState { stateAgent = agent,
+                         stateParent = Nothing,
+                         stateActivateRef = aref,
+                         stateDeactivateRef = dref,
+                         stateTransitRef = tref,
+                         stateVersionRef = vref }
+
+-- | Create a child state.
+newSubstate :: AgentState -> Simulation AgentState
+newSubstate parent =
+  Simulation $ \r ->
+  do let agent = stateAgent parent 
+     aref <- newIORef $ return ()
+     dref <- newIORef $ return ()
+     tref <- newIORef $ return Nothing
+     vref <- newIORef 0
+     return AgentState { stateAgent = agent,
+                         stateParent = Just parent,
+                         stateActivateRef= aref,
+                         stateDeactivateRef = dref,
+                         stateTransitRef = tref,
+                         stateVersionRef = vref }
+
+-- | Create an agent.
+newAgent :: Simulation Agent
+newAgent =
+  Simulation $ \r ->
+  do modeRef  <- newIORef CreationMode
+     stateRef <- newIORef Nothing
+     stateChangedSource <- invokeSimulation r newSignalSource
+     return Agent { agentModeRef = modeRef,
+                    agentStateRef = stateRef, 
+                    agentStateChangedSource = stateChangedSource }
+
+-- | Return the selected active state.
+selectedState :: Agent -> Event (Maybe AgentState)
+selectedState agent =
+  Event $ \p -> readIORef (agentStateRef agent)
+                   
+-- | Select the state. The activation and selection are repeated while
+-- there is the transition state defined by 'setStateTransition'.
+selectState :: AgentState -> Event ()
+selectState st =
+  Event $ \p ->
+  do let agent = stateAgent st
+     mode <- readIORef (agentModeRef agent)
+     case mode of
+       CreationMode ->
+         do x0 <- readIORef (agentStateRef agent)
+            invokeEvent p $ traversePath x0 st
+       TransientMode ->
+         error $
+         "Use the setStateTransition function to define " ++
+         "the transition state: activateState."
+       ProcessingMode ->
+         do x0 @ (Just st0) <- readIORef (agentStateRef agent)
+            invokeEvent p $ traversePath x0 st
+
+-- | Set the activation computation for the specified state.
+setStateActivation :: AgentState -> Event () -> Simulation ()
+setStateActivation st action =
+  Simulation $ \r ->
+  writeIORef (stateActivateRef st) action
+  
+-- | Set the deactivation computation for the specified state.
+setStateDeactivation :: AgentState -> Event () -> Simulation ()
+setStateDeactivation st action =
+  Simulation $ \r ->
+  writeIORef (stateDeactivateRef st) action
+  
+-- | Set the transition state which will be next and which is used only
+-- when selecting the state directly with help of 'selectState'.
+-- If the state was activated intermediately, when selecting
+-- another state, then this computation is not used.
+setStateTransition :: AgentState -> Event (Maybe AgentState) -> Simulation ()
+setStateTransition st action =
+  Simulation $ \r ->
+  writeIORef (stateTransitRef st) action
+  
+-- | Trigger the signal when the agent state changes.
+triggerAgentStateChanged :: Point -> Agent -> IO ()
+triggerAgentStateChanged p agent =
+  do st <- readIORef (agentStateRef agent)
+     invokeEvent p $ triggerSignal (agentStateChangedSource agent) st
+
+-- | Return a signal that notifies about every change of the selected state.
+selectedStateChanged :: Agent -> Signal (Maybe AgentState)
+selectedStateChanged agent =
+  publishSignal (agentStateChangedSource agent)
+
+-- | Return a signal that notifies about every change of the selected state.
+selectedStateChanged_ :: Agent -> Signal ()
+selectedStateChanged_ agent =
+  mapSignal (const ()) $ selectedStateChanged agent
diff --git a/Simulation/Aivika/Arrival.hs b/Simulation/Aivika/Arrival.hs
--- a/Simulation/Aivika/Arrival.hs
+++ b/Simulation/Aivika/Arrival.hs
@@ -1,77 +1,77 @@
-
--- |
--- Module     : Simulation.Aivika.Arrival
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines the types and functions for working with the events
--- that can represent something that arrive from outside the model, or
--- represent other things which computation is delayed and hence is not synchronized.
---
--- Therefore, the additional information is provided about the time and delay of arrival.
-
-module Simulation.Aivika.Arrival
-       (Arrival(..),
-        ArrivalTimer,
-        newArrivalTimer,
-        arrivalTimerProcessor,
-        arrivalProcessingTime,
-        arrivalProcessingTimeChanged,
-        arrivalProcessingTimeChanged_) where
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Ref
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Internal.Arrival
-
--- | Accumulates the statistics about that how long the arrived events are processed.
-data ArrivalTimer =
-  ArrivalTimer { arrivalProcessingTimeRef :: Ref (SamplingStats Double),
-                 arrivalProcessingTimeChangedSource :: SignalSource () }
-
--- | Create a new timer that measures how long the arrived events are processed.
-newArrivalTimer :: Simulation ArrivalTimer
-newArrivalTimer =
-  do r <- newRef emptySamplingStats
-     s <- newSignalSource
-     return ArrivalTimer { arrivalProcessingTimeRef = r,
-                           arrivalProcessingTimeChangedSource = s }
-
--- | Return the statistics about that how long the arrived events were processed.
-arrivalProcessingTime :: ArrivalTimer -> Event (SamplingStats Double)
-arrivalProcessingTime = readRef . arrivalProcessingTimeRef
-
--- | Return a signal raised when the the processing time statistics changes.
-arrivalProcessingTimeChanged :: ArrivalTimer -> Signal (SamplingStats Double)
-arrivalProcessingTimeChanged timer =
-  mapSignalM (const $ arrivalProcessingTime timer) (arrivalProcessingTimeChanged_ timer)
-
--- | Return a signal raised when the the processing time statistics changes.
-arrivalProcessingTimeChanged_ :: ArrivalTimer -> Signal ()
-arrivalProcessingTimeChanged_ timer =
-  publishSignal (arrivalProcessingTimeChangedSource timer)
-
--- | Return a processor that actually measures how much time has passed from
--- the time of arriving the events.
-arrivalTimerProcessor :: ArrivalTimer -> Processor (Arrival a) (Arrival a)
-arrivalTimerProcessor timer =
-  Processor $ \xs -> Cons $ loop xs where
-    loop xs =
-      do (a, xs) <- runStream xs
-         liftEvent $
-           do t <- liftDynamics time
-              modifyRef (arrivalProcessingTimeRef timer) $
-                addSamplingStats (t - arrivalTime a)
-              triggerSignal (arrivalProcessingTimeChangedSource timer) ()
-         return (a, Cons $ loop xs)
+
+-- |
+-- Module     : Simulation.Aivika.Arrival
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the types and functions for working with the events
+-- that can represent something that arrive from outside the model, or
+-- represent other things which computation is delayed and hence is not synchronized.
+--
+-- Therefore, the additional information is provided about the time and delay of arrival.
+
+module Simulation.Aivika.Arrival
+       (Arrival(..),
+        ArrivalTimer,
+        newArrivalTimer,
+        arrivalTimerProcessor,
+        arrivalProcessingTime,
+        arrivalProcessingTimeChanged,
+        arrivalProcessingTimeChanged_) where
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Internal.Arrival
+
+-- | Accumulates the statistics about that how long the arrived events are processed.
+data ArrivalTimer =
+  ArrivalTimer { arrivalProcessingTimeRef :: Ref (SamplingStats Double),
+                 arrivalProcessingTimeChangedSource :: SignalSource () }
+
+-- | Create a new timer that measures how long the arrived events are processed.
+newArrivalTimer :: Simulation ArrivalTimer
+newArrivalTimer =
+  do r <- newRef emptySamplingStats
+     s <- newSignalSource
+     return ArrivalTimer { arrivalProcessingTimeRef = r,
+                           arrivalProcessingTimeChangedSource = s }
+
+-- | Return the statistics about that how long the arrived events were processed.
+arrivalProcessingTime :: ArrivalTimer -> Event (SamplingStats Double)
+arrivalProcessingTime = readRef . arrivalProcessingTimeRef
+
+-- | Return a signal raised when the the processing time statistics changes.
+arrivalProcessingTimeChanged :: ArrivalTimer -> Signal (SamplingStats Double)
+arrivalProcessingTimeChanged timer =
+  mapSignalM (const $ arrivalProcessingTime timer) (arrivalProcessingTimeChanged_ timer)
+
+-- | Return a signal raised when the the processing time statistics changes.
+arrivalProcessingTimeChanged_ :: ArrivalTimer -> Signal ()
+arrivalProcessingTimeChanged_ timer =
+  publishSignal (arrivalProcessingTimeChangedSource timer)
+
+-- | Return a processor that actually measures how much time has passed from
+-- the time of arriving the events.
+arrivalTimerProcessor :: ArrivalTimer -> Processor (Arrival a) (Arrival a)
+arrivalTimerProcessor timer =
+  Processor $ \xs -> Cons $ loop xs where
+    loop xs =
+      do (a, xs) <- runStream xs
+         liftEvent $
+           do t <- liftDynamics time
+              modifyRef (arrivalProcessingTimeRef timer) $
+                addSamplingStats (t - arrivalTime a)
+              triggerSignal (arrivalProcessingTimeChangedSource timer) ()
+         return (a, Cons $ loop xs)
diff --git a/Simulation/Aivika/Circuit.hs b/Simulation/Aivika/Circuit.hs
--- a/Simulation/Aivika/Circuit.hs
+++ b/Simulation/Aivika/Circuit.hs
@@ -1,379 +1,379 @@
-
-{-# LANGUAGE RecursiveDo, Arrows #-}
-
--- |
--- Module     : Simulation.Aivika.Circuit
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- It represents a circuit synchronized with the event queue.
--- Also it allows creating the recursive links with help of
--- the proc-notation.
---
--- The implementation is based on the <http://en.wikibooks.org/wiki/Haskell/Arrow_tutorial Arrow Tutorial>.
---
-module Simulation.Aivika.Circuit
-       (-- * Circuit Arrow
-        Circuit(..),
-        -- * Circuit Primitives
-        arrCircuit,
-        accumCircuit,
-        -- * Arrival Circuit
-        arrivalCircuit,
-        -- * Delaying Circuit
-        delayCircuit,
-        -- * Time Circuit
-        timeCircuit,
-        -- * Conditional Computation
-        (<?<),
-        (>?>),
-        filterCircuit,
-        filterCircuitM,
-        neverCircuit,
-        -- * Converting to Signals and Processors
-        circuitSignaling,
-        circuitProcessor,
-        -- * Integrals and Difference Equations
-        integCircuit,
-        sumCircuit,
-        -- * Circuit Transform
-        circuitTransform) where
-
-import qualified Control.Category as C
-import Control.Arrow
-import Control.Monad.Fix
-
-import Data.IORef
-
-import Simulation.Aivika.Internal.Arrival
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Dynamics.Memo
-import Simulation.Aivika.Transform
-import Simulation.Aivika.SystemDynamics
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Processor
-
--- | Represents a circuit synchronized with the event queue.
--- Besides, it allows creating the recursive links with help of
--- the proc-notation.
---
-newtype Circuit a b =
-  Circuit { runCircuit :: a -> Event (b, Circuit a b)
-            -- ^ Run the circuit.
-          }
-
-instance C.Category Circuit where
-
-  id = Circuit $ \a -> return (a, C.id)
-
-  (.) = dot
-    where 
-      (Circuit g) `dot` (Circuit f) =
-        Circuit $ \a ->
-        Event $ \p ->
-        do (b, cir1) <- invokeEvent p (f a)
-           (c, cir2) <- invokeEvent p (g b)
-           return (c, cir2 `dot` cir1)
-
-instance Arrow Circuit where
-
-  arr f = Circuit $ \a -> return (f a, arr f)
-
-  first (Circuit f) =
-    Circuit $ \(b, d) ->
-    Event $ \p ->
-    do (c, cir) <- invokeEvent p (f b)
-       return ((c, d), first cir)
-
-  second (Circuit f) =
-    Circuit $ \(d, b) ->
-    Event $ \p ->
-    do (c, cir) <- invokeEvent p (f b)
-       return ((d, c), second cir)
-
-  (Circuit f) *** (Circuit g) =
-    Circuit $ \(b, b') ->
-    Event $ \p ->
-    do (c, cir1) <- invokeEvent p (f b)
-       (c', cir2) <- invokeEvent p (g b')
-       return ((c, c'), cir1 *** cir2)
-       
-  (Circuit f) &&& (Circuit g) =
-    Circuit $ \b ->
-    Event $ \p ->
-    do (c, cir1) <- invokeEvent p (f b)
-       (c', cir2) <- invokeEvent p (g b)
-       return ((c, c'), cir1 &&& cir2)
-
-instance ArrowLoop Circuit where
-
-  loop (Circuit f) =
-    Circuit $ \b ->
-    Event $ \p ->
-    do rec ((c, d), cir) <- invokeEvent p (f (b, d))
-       return (c, loop cir)
-
-instance ArrowChoice Circuit where
-
-  left x@(Circuit f) =
-    Circuit $ \ebd ->
-    Event $ \p ->
-    case ebd of
-      Left b ->
-        do (c, cir) <- invokeEvent p (f b)
-           return (Left c, left cir)
-      Right d ->
-        return (Right d, left x)
-
-  right x@(Circuit f) =
-    Circuit $ \edb ->
-    Event $ \p ->
-    case edb of
-      Right b ->
-        do (c, cir) <- invokeEvent p (f b)
-           return (Right c, right cir)
-      Left d ->
-        return (Left d, right x)
-
-  x@(Circuit f) +++ y@(Circuit g) =
-    Circuit $ \ebb' ->
-    Event $ \p ->
-    case ebb' of
-      Left b ->
-        do (c, cir1) <- invokeEvent p (f b)
-           return (Left c, cir1 +++ y)
-      Right b' ->
-        do (c', cir2) <- invokeEvent p (g b')
-           return (Right c', x +++ cir2)
-
-  x@(Circuit f) ||| y@(Circuit g) =
-    Circuit $ \ebc ->
-    Event $ \p ->
-    case ebc of
-      Left b ->
-        do (d, cir1) <- invokeEvent p (f b)
-           return (d, cir1 ||| y)
-      Right b' ->
-        do (d, cir2) <- invokeEvent p (g b')
-           return (d, x ||| cir2)
-
--- | Get a signal transform by the specified circuit.
-circuitSignaling :: Circuit a b -> Signal a -> Signal b
-circuitSignaling (Circuit cir) sa =
-  Signal { handleSignal = \f ->
-            Event $ \p ->
-            do r <- newIORef cir
-               invokeEvent p $
-                 handleSignal sa $ \a ->
-                 Event $ \p ->
-                 do cir <- readIORef r
-                    (b, Circuit cir') <- invokeEvent p (cir a)
-                    writeIORef r cir'
-                    invokeEvent p (f b) }
-
--- | Transform the circuit to a processor.
-circuitProcessor :: Circuit a b -> Processor a b
-circuitProcessor (Circuit cir) = Processor $ \sa ->
-  Cons $
-  do (a, xs) <- runStream sa
-     (b, cir') <- liftEvent (cir a)
-     let f = runProcessor (circuitProcessor cir')
-     return (b, f xs)
-
--- | Create a simple circuit by the specified handling function
--- that runs the computation for each input value to get an output.
-arrCircuit :: (a -> Event b) -> Circuit a b
-arrCircuit f =
-  let x =
-        Circuit $ \a ->
-        Event $ \p ->
-        do b <- invokeEvent p (f a)
-           return (b, x)
-  in x
-
--- | Accumulator that outputs a value determined by the supplied function.
-accumCircuit :: (acc -> a -> Event (acc, b)) -> acc -> Circuit a b
-accumCircuit f acc =
-  Circuit $ \a ->
-  Event $ \p ->
-  do (acc', b) <- invokeEvent p (f acc a)
-     return (b, accumCircuit f acc') 
-
--- | A circuit that adds the information about the time points at which 
--- the values were received.
-arrivalCircuit :: Circuit a (Arrival a)
-arrivalCircuit =
-  let loop t0 =
-        Circuit $ \a ->
-        Event $ \p ->
-        let t = pointTime p
-            b = Arrival { arrivalValue = a,
-                          arrivalTime  = t,
-                          arrivalDelay = 
-                            case t0 of
-                              Nothing -> Nothing
-                              Just t0 -> Just (t - t0) }
-        in return (b, loop $ Just t)
-  in loop Nothing
-
--- | Delay the input by one step using the specified initial value.
-delayCircuit :: a -> Circuit a a
-delayCircuit a0 =
-  Circuit $ \a ->
-  return (a0, delayCircuit a)
-
--- | A circuit that returns the current modeling time.
-timeCircuit :: Circuit a Double
-timeCircuit =
-  Circuit $ \a ->
-  Event $ \p ->
-  return (pointTime p, timeCircuit)
-
--- | Like '>>>' but processes only the represented events.
-(>?>) :: Circuit a (Maybe b)
-         -- ^ whether there is an event
-         -> Circuit b c
-         -- ^ process the event if it presents
-         -> Circuit a (Maybe c)
-         -- ^ the resulting circuit that processes only the represented events
-whether >?> process =
-  Circuit $ \a ->
-  Event $ \p ->
-  do (b, whether') <- invokeEvent p (runCircuit whether a)
-     case b of
-       Nothing ->
-         return (Nothing, whether' >?> process)
-       Just b  ->
-         do (c, process') <- invokeEvent p (runCircuit process b)
-            return (Just c, whether' >?> process')
-
--- | Like '<<<' but processes only the represented events.
-(<?<) :: Circuit b c
-         -- ^ process the event if it presents
-         -> Circuit a (Maybe b)
-         -- ^ whether there is an event
-         -> Circuit a (Maybe c)
-         -- ^ the resulting circuit that processes only the represented events
-(<?<) = flip (>?>)
-
--- | Filter the circuit, calculating only those parts of the circuit that satisfy
--- the specified predicate.
-filterCircuit :: (a -> Bool) -> Circuit a b -> Circuit a (Maybe b)
-filterCircuit pred = filterCircuitM (return . pred)
-
--- | Filter the circuit within the 'Event' computation, calculating only those parts
--- of the circuit that satisfy the specified predicate.
-filterCircuitM :: (a -> Event Bool) -> Circuit a b -> Circuit a (Maybe b)
-filterCircuitM pred cir =
-  Circuit $ \a ->
-  Event $ \p ->
-  do x <- invokeEvent p (pred a)
-     if x
-       then do (b, cir') <- invokeEvent p (runCircuit cir a)
-               return (Just b, filterCircuitM pred cir')
-       else return (Nothing, filterCircuitM pred cir)
-
--- | The source of events that never occur.
-neverCircuit :: Circuit a (Maybe b)
-neverCircuit =
-  Circuit $ \a -> return (Nothing, neverCircuit)
-
--- | An approximation of the integral using Euler's method.
---
--- This function can be rather inaccurate as it depends on
--- the time points at wich the 'Circuit' computation is actuated.
--- Also Euler's method per se is not most accurate, although simple
--- enough for implementation.
---
--- Consider using the 'integ' function whenever possible.
--- That function can integrate with help of the Runge-Kutta method by
--- the specified integration time points that are passed in the simulation
--- specs to every 'Simulation', when running the model.
---
--- At the same time, the 'integCircuit' function has no mutable state
--- unlike the former. The latter consumes less memory but at the cost
--- of inaccuracy and relatively more slow simulation, had we requested
--- the integral in the same time points.
---
--- Regarding the recursive equations, the both functions allow defining them
--- but whithin different computations (either with help of the recursive
--- do-notation or the proc-notation).
-integCircuit :: Double
-                -- ^ the initial value
-                -> Circuit Double Double
-                -- ^ map the derivative to an integral
-integCircuit init = start
-  where
-    start = 
-      Circuit $ \a ->
-      Event $ \p ->
-      do let t = pointTime p
-         return (init, next t init a)
-    next t0 v0 a0 =
-      Circuit $ \a ->
-      Event $ \p ->
-      do let t  = pointTime p
-             dt = t - t0
-             v  = v0 + a0 * dt
-         v `seq` return (v, next t v a)
-
--- | A sum of differences starting from the specified initial value.
---
--- Consider using the more accurate 'diffsum' function whener possible as
--- it is calculated in every integration time point specified by specs
--- passed in to every 'Simulation', when running the model.
---
--- At the same time, the 'sumCircuit' function has no mutable state and
--- it consumes less memory than the former.
---
--- Regarding the recursive equations, the both functions allow defining them
--- but whithin different computations (either with help of the recursive
--- do-notation or the proc-notation).
-sumCircuit :: Num a =>
-              a
-              -- ^ the initial value
-              -> Circuit a a
-              -- ^ map the difference to a sum
-sumCircuit init = start
-  where
-    start = 
-      Circuit $ \a ->
-      Event $ \p ->
-      return (init, next init a)
-    next v0 a0 =
-      Circuit $ \a ->
-      Event $ \p ->
-      do let v = v0 + a0
-         v `seq` return (v, next v a)
-
--- | Approximate the circuit as a transform of time varying function,
--- calculating the values in the integration time points and then
--- interpolating in all other time points. The resulting transform
--- computation is synchronized with the event queue.         
---
--- This procedure consumes memory as the underlying memoization allocates
--- an array to store the calculated values.
-circuitTransform :: Circuit a b -> Transform a b
-circuitTransform cir = Transform start
-  where
-    start m =
-      Simulation $ \r ->
-      do ref <- newIORef cir
-         invokeSimulation r $
-           memo0Dynamics (next ref m)
-    next ref m =
-      Dynamics $ \p ->
-      do a <- invokeDynamics p m
-         cir <- readIORef ref
-         (b, cir') <-
-           invokeDynamics p $
-           runEvent (runCircuit cir a)
-         writeIORef ref cir'
-         return b
+
+{-# LANGUAGE RecursiveDo, Arrows #-}
+
+-- |
+-- Module     : Simulation.Aivika.Circuit
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- It represents a circuit synchronized with the event queue.
+-- Also it allows creating the recursive links with help of
+-- the proc-notation.
+--
+-- The implementation is based on the <http://en.wikibooks.org/wiki/Haskell/Arrow_tutorial Arrow Tutorial>.
+--
+module Simulation.Aivika.Circuit
+       (-- * The Circuit Arrow
+        Circuit(..),
+        -- * Circuit Primitives
+        arrCircuit,
+        accumCircuit,
+        -- * The Arrival Circuit
+        arrivalCircuit,
+        -- * Delaying the Circuit
+        delayCircuit,
+        -- * The Time Circuit
+        timeCircuit,
+        -- * Conditional Computation
+        (<?<),
+        (>?>),
+        filterCircuit,
+        filterCircuitM,
+        neverCircuit,
+        -- * Converting to Signals and Processors
+        circuitSignaling,
+        circuitProcessor,
+        -- * Integrals and Difference Equations
+        integCircuit,
+        sumCircuit,
+        -- * The Circuit Transform
+        circuitTransform) where
+
+import qualified Control.Category as C
+import Control.Arrow
+import Control.Monad.Fix
+
+import Data.IORef
+
+import Simulation.Aivika.Internal.Arrival
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Dynamics.Memo
+import Simulation.Aivika.Transform
+import Simulation.Aivika.SystemDynamics
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Processor
+
+-- | Represents a circuit synchronized with the event queue.
+-- Besides, it allows creating the recursive links with help of
+-- the proc-notation.
+--
+newtype Circuit a b =
+  Circuit { runCircuit :: a -> Event (b, Circuit a b)
+            -- ^ Run the circuit.
+          }
+
+instance C.Category Circuit where
+
+  id = Circuit $ \a -> return (a, C.id)
+
+  (.) = dot
+    where 
+      (Circuit g) `dot` (Circuit f) =
+        Circuit $ \a ->
+        Event $ \p ->
+        do (b, cir1) <- invokeEvent p (f a)
+           (c, cir2) <- invokeEvent p (g b)
+           return (c, cir2 `dot` cir1)
+
+instance Arrow Circuit where
+
+  arr f = Circuit $ \a -> return (f a, arr f)
+
+  first (Circuit f) =
+    Circuit $ \(b, d) ->
+    Event $ \p ->
+    do (c, cir) <- invokeEvent p (f b)
+       return ((c, d), first cir)
+
+  second (Circuit f) =
+    Circuit $ \(d, b) ->
+    Event $ \p ->
+    do (c, cir) <- invokeEvent p (f b)
+       return ((d, c), second cir)
+
+  (Circuit f) *** (Circuit g) =
+    Circuit $ \(b, b') ->
+    Event $ \p ->
+    do (c, cir1) <- invokeEvent p (f b)
+       (c', cir2) <- invokeEvent p (g b')
+       return ((c, c'), cir1 *** cir2)
+       
+  (Circuit f) &&& (Circuit g) =
+    Circuit $ \b ->
+    Event $ \p ->
+    do (c, cir1) <- invokeEvent p (f b)
+       (c', cir2) <- invokeEvent p (g b)
+       return ((c, c'), cir1 &&& cir2)
+
+instance ArrowLoop Circuit where
+
+  loop (Circuit f) =
+    Circuit $ \b ->
+    Event $ \p ->
+    do rec ((c, d), cir) <- invokeEvent p (f (b, d))
+       return (c, loop cir)
+
+instance ArrowChoice Circuit where
+
+  left x@(Circuit f) =
+    Circuit $ \ebd ->
+    Event $ \p ->
+    case ebd of
+      Left b ->
+        do (c, cir) <- invokeEvent p (f b)
+           return (Left c, left cir)
+      Right d ->
+        return (Right d, left x)
+
+  right x@(Circuit f) =
+    Circuit $ \edb ->
+    Event $ \p ->
+    case edb of
+      Right b ->
+        do (c, cir) <- invokeEvent p (f b)
+           return (Right c, right cir)
+      Left d ->
+        return (Left d, right x)
+
+  x@(Circuit f) +++ y@(Circuit g) =
+    Circuit $ \ebb' ->
+    Event $ \p ->
+    case ebb' of
+      Left b ->
+        do (c, cir1) <- invokeEvent p (f b)
+           return (Left c, cir1 +++ y)
+      Right b' ->
+        do (c', cir2) <- invokeEvent p (g b')
+           return (Right c', x +++ cir2)
+
+  x@(Circuit f) ||| y@(Circuit g) =
+    Circuit $ \ebc ->
+    Event $ \p ->
+    case ebc of
+      Left b ->
+        do (d, cir1) <- invokeEvent p (f b)
+           return (d, cir1 ||| y)
+      Right b' ->
+        do (d, cir2) <- invokeEvent p (g b')
+           return (d, x ||| cir2)
+
+-- | Get a signal transform by the specified circuit.
+circuitSignaling :: Circuit a b -> Signal a -> Signal b
+circuitSignaling (Circuit cir) sa =
+  Signal { handleSignal = \f ->
+            Event $ \p ->
+            do r <- newIORef cir
+               invokeEvent p $
+                 handleSignal sa $ \a ->
+                 Event $ \p ->
+                 do cir <- readIORef r
+                    (b, Circuit cir') <- invokeEvent p (cir a)
+                    writeIORef r cir'
+                    invokeEvent p (f b) }
+
+-- | Transform the circuit to a processor.
+circuitProcessor :: Circuit a b -> Processor a b
+circuitProcessor (Circuit cir) = Processor $ \sa ->
+  Cons $
+  do (a, xs) <- runStream sa
+     (b, cir') <- liftEvent (cir a)
+     let f = runProcessor (circuitProcessor cir')
+     return (b, f xs)
+
+-- | Create a simple circuit by the specified handling function
+-- that runs the computation for each input value to get an output.
+arrCircuit :: (a -> Event b) -> Circuit a b
+arrCircuit f =
+  let x =
+        Circuit $ \a ->
+        Event $ \p ->
+        do b <- invokeEvent p (f a)
+           return (b, x)
+  in x
+
+-- | Accumulator that outputs a value determined by the supplied function.
+accumCircuit :: (acc -> a -> Event (acc, b)) -> acc -> Circuit a b
+accumCircuit f acc =
+  Circuit $ \a ->
+  Event $ \p ->
+  do (acc', b) <- invokeEvent p (f acc a)
+     return (b, accumCircuit f acc') 
+
+-- | A circuit that adds the information about the time points at which 
+-- the values were received.
+arrivalCircuit :: Circuit a (Arrival a)
+arrivalCircuit =
+  let loop t0 =
+        Circuit $ \a ->
+        Event $ \p ->
+        let t = pointTime p
+            b = Arrival { arrivalValue = a,
+                          arrivalTime  = t,
+                          arrivalDelay = 
+                            case t0 of
+                              Nothing -> Nothing
+                              Just t0 -> Just (t - t0) }
+        in return (b, loop $ Just t)
+  in loop Nothing
+
+-- | Delay the input by one step using the specified initial value.
+delayCircuit :: a -> Circuit a a
+delayCircuit a0 =
+  Circuit $ \a ->
+  return (a0, delayCircuit a)
+
+-- | A circuit that returns the current modeling time.
+timeCircuit :: Circuit a Double
+timeCircuit =
+  Circuit $ \a ->
+  Event $ \p ->
+  return (pointTime p, timeCircuit)
+
+-- | Like '>>>' but processes only the represented events.
+(>?>) :: Circuit a (Maybe b)
+         -- ^ whether there is an event
+         -> Circuit b c
+         -- ^ process the event if it presents
+         -> Circuit a (Maybe c)
+         -- ^ the resulting circuit that processes only the represented events
+whether >?> process =
+  Circuit $ \a ->
+  Event $ \p ->
+  do (b, whether') <- invokeEvent p (runCircuit whether a)
+     case b of
+       Nothing ->
+         return (Nothing, whether' >?> process)
+       Just b  ->
+         do (c, process') <- invokeEvent p (runCircuit process b)
+            return (Just c, whether' >?> process')
+
+-- | Like '<<<' but processes only the represented events.
+(<?<) :: Circuit b c
+         -- ^ process the event if it presents
+         -> Circuit a (Maybe b)
+         -- ^ whether there is an event
+         -> Circuit a (Maybe c)
+         -- ^ the resulting circuit that processes only the represented events
+(<?<) = flip (>?>)
+
+-- | Filter the circuit, calculating only those parts of the circuit that satisfy
+-- the specified predicate.
+filterCircuit :: (a -> Bool) -> Circuit a b -> Circuit a (Maybe b)
+filterCircuit pred = filterCircuitM (return . pred)
+
+-- | Filter the circuit within the 'Event' computation, calculating only those parts
+-- of the circuit that satisfy the specified predicate.
+filterCircuitM :: (a -> Event Bool) -> Circuit a b -> Circuit a (Maybe b)
+filterCircuitM pred cir =
+  Circuit $ \a ->
+  Event $ \p ->
+  do x <- invokeEvent p (pred a)
+     if x
+       then do (b, cir') <- invokeEvent p (runCircuit cir a)
+               return (Just b, filterCircuitM pred cir')
+       else return (Nothing, filterCircuitM pred cir)
+
+-- | The source of events that never occur.
+neverCircuit :: Circuit a (Maybe b)
+neverCircuit =
+  Circuit $ \a -> return (Nothing, neverCircuit)
+
+-- | An approximation of the integral using Euler's method.
+--
+-- This function can be rather inaccurate as it depends on
+-- the time points at wich the 'Circuit' computation is actuated.
+-- Also Euler's method per se is not most accurate, although simple
+-- enough for implementation.
+--
+-- Consider using the 'integ' function whenever possible.
+-- That function can integrate with help of the Runge-Kutta method by
+-- the specified integration time points that are passed in the simulation
+-- specs to every 'Simulation', when running the model.
+--
+-- At the same time, the 'integCircuit' function has no mutable state
+-- unlike the former. The latter consumes less memory but at the cost
+-- of inaccuracy and relatively more slow simulation, had we requested
+-- the integral in the same time points.
+--
+-- Regarding the recursive equations, the both functions allow defining them
+-- but whithin different computations (either with help of the recursive
+-- do-notation or the proc-notation).
+integCircuit :: Double
+                -- ^ the initial value
+                -> Circuit Double Double
+                -- ^ map the derivative to an integral
+integCircuit init = start
+  where
+    start = 
+      Circuit $ \a ->
+      Event $ \p ->
+      do let t = pointTime p
+         return (init, next t init a)
+    next t0 v0 a0 =
+      Circuit $ \a ->
+      Event $ \p ->
+      do let t  = pointTime p
+             dt = t - t0
+             v  = v0 + a0 * dt
+         v `seq` return (v, next t v a)
+
+-- | A sum of differences starting from the specified initial value.
+--
+-- Consider using the more accurate 'diffsum' function whener possible as
+-- it is calculated in every integration time point specified by specs
+-- passed in to every 'Simulation', when running the model.
+--
+-- At the same time, the 'sumCircuit' function has no mutable state and
+-- it consumes less memory than the former.
+--
+-- Regarding the recursive equations, the both functions allow defining them
+-- but whithin different computations (either with help of the recursive
+-- do-notation or the proc-notation).
+sumCircuit :: Num a =>
+              a
+              -- ^ the initial value
+              -> Circuit a a
+              -- ^ map the difference to a sum
+sumCircuit init = start
+  where
+    start = 
+      Circuit $ \a ->
+      Event $ \p ->
+      return (init, next init a)
+    next v0 a0 =
+      Circuit $ \a ->
+      Event $ \p ->
+      do let v = v0 + a0
+         v `seq` return (v, next v a)
+
+-- | Approximate the circuit as a transform of time varying function,
+-- calculating the values in the integration time points and then
+-- interpolating in all other time points. The resulting transform
+-- computation is synchronized with the event queue.         
+--
+-- This procedure consumes memory as the underlying memoization allocates
+-- an array to store the calculated values.
+circuitTransform :: Circuit a b -> Transform a b
+circuitTransform cir = Transform start
+  where
+    start m =
+      Simulation $ \r ->
+      do ref <- newIORef cir
+         invokeSimulation r $
+           memo0Dynamics (next ref m)
+    next ref m =
+      Dynamics $ \p ->
+      do a <- invokeDynamics p m
+         cir <- readIORef ref
+         (b, cir') <-
+           invokeDynamics p $
+           runEvent (runCircuit cir a)
+         writeIORef ref cir'
+         return b
diff --git a/Simulation/Aivika/Cont.hs b/Simulation/Aivika/Cont.hs
--- a/Simulation/Aivika/Cont.hs
+++ b/Simulation/Aivika/Cont.hs
@@ -1,19 +1,19 @@
-
--- |
--- Module     : Simulation.Aivika.Cont
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The 'Cont' monad is a variation of the standard Cont monad 
--- and F# async workflow, where the result of applying 
--- the continuations is the 'Event' computation.
---
-module Simulation.Aivika.Cont
-       (ContCancellation(..),
-        Cont) where
-
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Cont
+
+-- |
+-- Module     : Simulation.Aivika.Cont
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The 'Cont' monad is a variation of the standard Cont monad 
+-- and F# async workflow, where the result of applying 
+-- the continuations is the 'Event' computation.
+--
+module Simulation.Aivika.Cont
+       (ContCancellation(..),
+        Cont) where
+
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Cont
diff --git a/Simulation/Aivika/DoubleLinkedList.hs b/Simulation/Aivika/DoubleLinkedList.hs
--- a/Simulation/Aivika/DoubleLinkedList.hs
+++ b/Simulation/Aivika/DoubleLinkedList.hs
@@ -1,165 +1,165 @@
-
--- |
--- Module     : Simulation.Aivika.DoubleLinkedList
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- An imperative double-linked list.
---
-module Simulation.Aivika.DoubleLinkedList 
-       (DoubleLinkedList, 
-        listNull, 
-        listCount,
-        newList, 
-        listInsertFirst,
-        listAddLast,
-        listRemoveFirst,
-        listRemoveLast,
-        listFirst,
-        listLast) where 
-
-import Data.IORef
-import Control.Monad
-
--- | A cell of the double-linked list.
-data DoubleLinkedItem a = 
-  DoubleLinkedItem { itemVal  :: a,
-                     itemPrev :: IORef (Maybe (DoubleLinkedItem a)),
-                     itemNext :: IORef (Maybe (DoubleLinkedItem a)) }
-  
--- | The 'DoubleLinkedList' type represents an imperative double-linked list.
-data DoubleLinkedList a =  
-  DoubleLinkedList { listHead :: IORef (Maybe (DoubleLinkedItem a)),
-                     listTail :: IORef (Maybe (DoubleLinkedItem a)), 
-                     listSize :: IORef Int }
-
--- | Test whether the list is empty.
-listNull :: DoubleLinkedList a -> IO Bool
-listNull x =
-  do head <- readIORef (listHead x) 
-     case head of
-       Nothing -> return True
-       Just _  -> return False
-    
--- | Return the number of elements in the list.
-listCount :: DoubleLinkedList a -> IO Int
-listCount x = readIORef (listSize x)
-
--- | Create a new list.
-newList :: IO (DoubleLinkedList a)
-newList =
-  do head <- newIORef Nothing 
-     tail <- newIORef Nothing
-     size <- newIORef 0
-     return DoubleLinkedList { listHead = head,
-                               listTail = tail,
-                               listSize = size }
-
--- | Insert a new element in the beginning.
-listInsertFirst :: DoubleLinkedList a -> a -> IO ()
-listInsertFirst x v =
-  do size <- readIORef (listSize x)
-     writeIORef (listSize x) (size + 1)
-     head <- readIORef (listHead x)
-     case head of
-       Nothing ->
-         do prev <- newIORef Nothing
-            next <- newIORef Nothing
-            let item = Just DoubleLinkedItem { itemVal = v, 
-                                               itemPrev = prev, 
-                                               itemNext = next }
-            writeIORef (listHead x) item
-            writeIORef (listTail x) item
-       Just h ->
-         do prev <- newIORef Nothing
-            next <- newIORef head
-            let item = Just DoubleLinkedItem { itemVal = v,
-                                               itemPrev = prev,
-                                               itemNext = next }
-            writeIORef (itemPrev h) item
-            writeIORef (listHead x) item
-
--- | Add a new element to the end.
-listAddLast :: DoubleLinkedList a -> a -> IO ()
-listAddLast x v =
-  do size <- readIORef (listSize x)
-     writeIORef (listSize x) (size + 1)
-     tail <- readIORef (listTail x)
-     case tail of
-       Nothing ->
-         do prev <- newIORef Nothing
-            next <- newIORef Nothing
-            let item = Just DoubleLinkedItem { itemVal = v, 
-                                               itemPrev = prev, 
-                                               itemNext = next }
-            writeIORef (listHead x) item
-            writeIORef (listTail x) item
-       Just t ->
-         do prev <- newIORef tail
-            next <- newIORef Nothing
-            let item = Just DoubleLinkedItem { itemVal = v,
-                                               itemPrev = prev,
-                                               itemNext = next }
-            writeIORef (itemNext t) item
-            writeIORef (listTail x) item
-
--- | Remove the first element.
-listRemoveFirst :: DoubleLinkedList a -> IO ()
-listRemoveFirst x =
-  do head <- readIORef (listHead x) 
-     case head of
-       Nothing ->
-         error "Empty list: listRemoveFirst"
-       Just h ->
-         do size  <- readIORef (listSize x)
-            writeIORef (listSize x) (size - 1)
-            head' <- readIORef (itemNext h)
-            case head' of
-              Nothing ->
-                do writeIORef (listHead x) Nothing
-                   writeIORef (listTail x) Nothing
-              Just h' ->
-                do writeIORef (itemPrev h') Nothing
-                   writeIORef (listHead x) head'
-
--- | Remove the last element.
-listRemoveLast :: DoubleLinkedList a -> IO ()
-listRemoveLast x =
-  do tail <- readIORef (listTail x) 
-     case tail of
-       Nothing ->
-         error "Empty list: listRemoveLast"
-       Just t ->
-         do size  <- readIORef (listSize x)
-            writeIORef (listSize x) (size - 1)
-            tail' <- readIORef (itemPrev t)
-            case tail' of
-              Nothing ->
-                do writeIORef (listHead x) Nothing
-                   writeIORef (listTail x) Nothing
-              Just t' ->
-                do writeIORef (itemNext t') Nothing
-                   writeIORef (listTail x) tail'
-
--- | Return the first element.
-listFirst :: DoubleLinkedList a -> IO a
-listFirst x =
-  do head <- readIORef (listHead x)
-     case head of
-       Nothing ->
-         error "Empty list: listFirst"
-       Just h ->
-         return $ itemVal h
-
--- | Return the last element.
-listLast :: DoubleLinkedList a -> IO a
-listLast x =
-  do tail <- readIORef (listTail x)
-     case tail of
-       Nothing ->
-         error "Empty list: listLast"
-       Just t ->
-         return $ itemVal t
+
+-- |
+-- Module     : Simulation.Aivika.DoubleLinkedList
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- An imperative double-linked list.
+--
+module Simulation.Aivika.DoubleLinkedList 
+       (DoubleLinkedList, 
+        listNull, 
+        listCount,
+        newList, 
+        listInsertFirst,
+        listAddLast,
+        listRemoveFirst,
+        listRemoveLast,
+        listFirst,
+        listLast) where 
+
+import Data.IORef
+import Control.Monad
+
+-- | A cell of the double-linked list.
+data DoubleLinkedItem a = 
+  DoubleLinkedItem { itemVal  :: a,
+                     itemPrev :: IORef (Maybe (DoubleLinkedItem a)),
+                     itemNext :: IORef (Maybe (DoubleLinkedItem a)) }
+  
+-- | The 'DoubleLinkedList' type represents an imperative double-linked list.
+data DoubleLinkedList a =  
+  DoubleLinkedList { listHead :: IORef (Maybe (DoubleLinkedItem a)),
+                     listTail :: IORef (Maybe (DoubleLinkedItem a)), 
+                     listSize :: IORef Int }
+
+-- | Test whether the list is empty.
+listNull :: DoubleLinkedList a -> IO Bool
+listNull x =
+  do head <- readIORef (listHead x) 
+     case head of
+       Nothing -> return True
+       Just _  -> return False
+    
+-- | Return the number of elements in the list.
+listCount :: DoubleLinkedList a -> IO Int
+listCount x = readIORef (listSize x)
+
+-- | Create a new list.
+newList :: IO (DoubleLinkedList a)
+newList =
+  do head <- newIORef Nothing 
+     tail <- newIORef Nothing
+     size <- newIORef 0
+     return DoubleLinkedList { listHead = head,
+                               listTail = tail,
+                               listSize = size }
+
+-- | Insert a new element in the beginning.
+listInsertFirst :: DoubleLinkedList a -> a -> IO ()
+listInsertFirst x v =
+  do size <- readIORef (listSize x)
+     writeIORef (listSize x) (size + 1)
+     head <- readIORef (listHead x)
+     case head of
+       Nothing ->
+         do prev <- newIORef Nothing
+            next <- newIORef Nothing
+            let item = Just DoubleLinkedItem { itemVal = v, 
+                                               itemPrev = prev, 
+                                               itemNext = next }
+            writeIORef (listHead x) item
+            writeIORef (listTail x) item
+       Just h ->
+         do prev <- newIORef Nothing
+            next <- newIORef head
+            let item = Just DoubleLinkedItem { itemVal = v,
+                                               itemPrev = prev,
+                                               itemNext = next }
+            writeIORef (itemPrev h) item
+            writeIORef (listHead x) item
+
+-- | Add a new element to the end.
+listAddLast :: DoubleLinkedList a -> a -> IO ()
+listAddLast x v =
+  do size <- readIORef (listSize x)
+     writeIORef (listSize x) (size + 1)
+     tail <- readIORef (listTail x)
+     case tail of
+       Nothing ->
+         do prev <- newIORef Nothing
+            next <- newIORef Nothing
+            let item = Just DoubleLinkedItem { itemVal = v, 
+                                               itemPrev = prev, 
+                                               itemNext = next }
+            writeIORef (listHead x) item
+            writeIORef (listTail x) item
+       Just t ->
+         do prev <- newIORef tail
+            next <- newIORef Nothing
+            let item = Just DoubleLinkedItem { itemVal = v,
+                                               itemPrev = prev,
+                                               itemNext = next }
+            writeIORef (itemNext t) item
+            writeIORef (listTail x) item
+
+-- | Remove the first element.
+listRemoveFirst :: DoubleLinkedList a -> IO ()
+listRemoveFirst x =
+  do head <- readIORef (listHead x) 
+     case head of
+       Nothing ->
+         error "Empty list: listRemoveFirst"
+       Just h ->
+         do size  <- readIORef (listSize x)
+            writeIORef (listSize x) (size - 1)
+            head' <- readIORef (itemNext h)
+            case head' of
+              Nothing ->
+                do writeIORef (listHead x) Nothing
+                   writeIORef (listTail x) Nothing
+              Just h' ->
+                do writeIORef (itemPrev h') Nothing
+                   writeIORef (listHead x) head'
+
+-- | Remove the last element.
+listRemoveLast :: DoubleLinkedList a -> IO ()
+listRemoveLast x =
+  do tail <- readIORef (listTail x) 
+     case tail of
+       Nothing ->
+         error "Empty list: listRemoveLast"
+       Just t ->
+         do size  <- readIORef (listSize x)
+            writeIORef (listSize x) (size - 1)
+            tail' <- readIORef (itemPrev t)
+            case tail' of
+              Nothing ->
+                do writeIORef (listHead x) Nothing
+                   writeIORef (listTail x) Nothing
+              Just t' ->
+                do writeIORef (itemNext t') Nothing
+                   writeIORef (listTail x) tail'
+
+-- | Return the first element.
+listFirst :: DoubleLinkedList a -> IO a
+listFirst x =
+  do head <- readIORef (listHead x)
+     case head of
+       Nothing ->
+         error "Empty list: listFirst"
+       Just h ->
+         return $ itemVal h
+
+-- | Return the last element.
+listLast :: DoubleLinkedList a -> IO a
+listLast x =
+  do tail <- readIORef (listTail x)
+     case tail of
+       Nothing ->
+         error "Empty list: listLast"
+       Just t ->
+         return $ itemVal t
diff --git a/Simulation/Aivika/Dynamics.hs b/Simulation/Aivika/Dynamics.hs
--- a/Simulation/Aivika/Dynamics.hs
+++ b/Simulation/Aivika/Dynamics.hs
@@ -1,31 +1,31 @@
-
--- |
--- Module     : Simulation.Aivika.Dynamics
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines the 'Dynamics' monad representing a time varying polymorphic function. 
---
-module Simulation.Aivika.Dynamics
-       (-- * Dynamics Monad
-        Dynamics,
-        DynamicsLift(..),
-        runDynamicsInStartTime,
-        runDynamicsInStopTime,
-        runDynamicsInIntegTimes,
-        runDynamicsInTime,
-        runDynamicsInTimes,
-        -- * Error Handling
-        catchDynamics,
-        finallyDynamics,
-        throwDynamics,
-        -- * Simulation Time
-        time,
-        isTimeInteg,
-        integIteration,
-        integPhase) where
-
-import Simulation.Aivika.Internal.Dynamics
+
+-- |
+-- Module     : Simulation.Aivika.Dynamics
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Dynamics' monad representing a time varying polymorphic function. 
+--
+module Simulation.Aivika.Dynamics
+       (-- * Dynamics Monad
+        Dynamics,
+        DynamicsLift(..),
+        runDynamicsInStartTime,
+        runDynamicsInStopTime,
+        runDynamicsInIntegTimes,
+        runDynamicsInTime,
+        runDynamicsInTimes,
+        -- * Error Handling
+        catchDynamics,
+        finallyDynamics,
+        throwDynamics,
+        -- * Simulation Time
+        time,
+        isTimeInteg,
+        integIteration,
+        integPhase) where
+
+import Simulation.Aivika.Internal.Dynamics
diff --git a/Simulation/Aivika/Dynamics/Extra.hs b/Simulation/Aivika/Dynamics/Extra.hs
new file mode 100644
--- /dev/null
+++ b/Simulation/Aivika/Dynamics/Extra.hs
@@ -0,0 +1,109 @@
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Dynamics.Extra
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines auxiliary functions such as interpolation ones
+-- that complement the memoization, for example. There are scan functions too.
+--
+
+module Simulation.Aivika.Dynamics.Extra
+       (-- * Interpolation
+        initDynamics,
+        discreteDynamics,
+        interpolateDynamics,
+        -- * Scans
+        scanDynamics,
+        scan1Dynamics) where
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+
+-- | Return the initial value.
+initDynamics :: Dynamics a -> Dynamics a
+{-# INLINE initDynamics #-}
+initDynamics (Dynamics m) =
+  Dynamics $ \p ->
+  let sc = pointSpecs p
+  in m $ p { pointTime = basicTime sc 0 0,
+             pointIteration = 0,
+             pointPhase = 0 }
+
+-- | Discretize the computation in the integration time points.
+discreteDynamics :: Dynamics a -> Dynamics a
+{-# INLINE discreteDynamics #-}
+discreteDynamics (Dynamics m) =
+  Dynamics $ \p ->
+  if pointPhase p == 0 then
+    m p
+  else
+    let sc = pointSpecs p
+        n  = pointIteration p
+    in m $ p { pointTime = basicTime sc n 0,
+               pointPhase = 0 }
+
+-- | Interpolate the computation based on the integration time points only.
+-- Unlike the 'discreteDynamics' function it knows about the intermediate 
+-- time points that are used in the Runge-Kutta method.
+interpolateDynamics :: Dynamics a -> Dynamics a
+{-# INLINE interpolateDynamics #-}
+interpolateDynamics (Dynamics m) = 
+  Dynamics $ \p -> 
+  if pointPhase p >= 0 then 
+    m p
+  else 
+    let sc = pointSpecs p
+        n  = pointIteration p
+    in m $ p { pointTime = basicTime sc n 0,
+               pointPhase = 0 }
+
+-- | Like the standard 'scanl1' function but applied to values in 
+-- the integration time points. The accumulator values are transformed
+-- according to the second argument, which should be either function 
+-- 'memo0Dynamics' or its unboxed version.
+scan1Dynamics :: (a -> a -> a)
+                 -> (Dynamics a -> Simulation (Dynamics a))
+                 -> (Dynamics a -> Simulation (Dynamics a))
+scan1Dynamics f tr m =
+  mdo y <- tr $ Dynamics $ \p ->
+        case pointIteration p of
+          0 -> 
+            invokeDynamics p m
+          n -> do 
+            let sc = pointSpecs p
+                ty = basicTime sc (n - 1) 0
+                py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
+            s <- invokeDynamics py y
+            x <- invokeDynamics p m
+            return $! f s x
+      return y
+
+-- | Like the standard 'scanl' function but applied to values in 
+-- the integration time points. The accumulator values are transformed
+-- according to the third argument, which should be either function
+-- 'memo0Dynamics' or its unboxed version.
+scanDynamics :: (a -> b -> a)
+                -> a
+                -> (Dynamics a -> Simulation (Dynamics a))
+                -> (Dynamics b -> Simulation (Dynamics a))
+scanDynamics f acc tr m =
+  mdo y <- tr $ Dynamics $ \p ->
+        case pointIteration p of
+          0 -> do
+            x <- invokeDynamics p m
+            return $! f acc x
+          n -> do 
+            let sc = pointSpecs p
+                ty = basicTime sc (n - 1) 0
+                py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
+            s <- invokeDynamics py y
+            x <- invokeDynamics p m
+            return $! f s x
+      return y
diff --git a/Simulation/Aivika/Dynamics/Fold.hs b/Simulation/Aivika/Dynamics/Fold.hs
deleted file mode 100644
--- a/Simulation/Aivika/Dynamics/Fold.hs
+++ /dev/null
@@ -1,82 +0,0 @@
-
--- |
--- Module     : Simulation.Aivika.Dynamics.Fold
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the fold functions that allows traversing the values of
--- any 'Dynamics' computation in the integration time points.
---
-module Simulation.Aivika.Dynamics.Fold
-       (foldDynamics1,
-        foldDynamics) where
-
-import Data.IORef
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Dynamics.Memo
-
---
--- Fold
---
-
--- | Like the standard 'foldl1' function but applied to values in 
--- the integration time points. The accumulator values are transformed
--- according to the first argument, which should be either function 
--- 'memo0Dynamics' or its unboxed version.
-foldDynamics1 :: (Dynamics a -> Simulation (Dynamics a))
-                 -> (a -> a -> a) 
-                 -> Dynamics a 
-                 -> Simulation (Dynamics a)
-foldDynamics1 tr f (Dynamics m) =
-  do r <- liftIO $ newIORef m
-     let z = Dynamics $ \p ->
-           case pointIteration p of
-             0 -> 
-               m p
-             n -> do 
-               let sc = pointSpecs p
-                   ty = basicTime sc (n - 1) 0
-                   py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
-               y <- readIORef r
-               s <- y py
-               x <- m p
-               return $! f s x
-     y@(Dynamics m) <- tr z
-     liftIO $ writeIORef r m
-     return y
-
--- | Like the standard 'foldl' function but applied to values in 
--- the integration time points. The accumulator values are transformed
--- according to the first argument, which should be either function
--- 'memo0Dynamics' or its unboxed version.
-foldDynamics :: (Dynamics a -> Simulation (Dynamics a))
-                -> (a -> b -> a) 
-                -> a
-                -> Dynamics b 
-                -> Simulation (Dynamics a)
-foldDynamics tr f acc (Dynamics m) =
-  do r <- liftIO $ newIORef $ const $ return acc
-     let z = Dynamics $ \p ->
-           case pointIteration p of
-             0 -> do
-               x <- m p
-               return $! f acc x
-             n -> do 
-               let sc = pointSpecs p
-                   ty = basicTime sc (n - 1) 0
-                   py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
-               y <- readIORef r
-               s <- y py
-               x <- m p
-               return $! f s x
-     y@(Dynamics m) <- tr z
-     liftIO $ writeIORef r m
-     return y
diff --git a/Simulation/Aivika/Dynamics/Interpolate.hs b/Simulation/Aivika/Dynamics/Interpolate.hs
deleted file mode 100644
--- a/Simulation/Aivika/Dynamics/Interpolate.hs
+++ /dev/null
@@ -1,58 +0,0 @@
-
--- |
--- Module     : Simulation.Aivika.Dynamics.Interpolate
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines interpolation functions.
--- These functions complement the memoization.
---
-
-module Simulation.Aivika.Dynamics.Interpolate
-       (initDynamics,
-        discreteDynamics,
-        interpolateDynamics) where
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Dynamics
-
--- | Return the initial value.
-initDynamics :: Dynamics a -> Dynamics a
-{-# INLINE initDynamics #-}
-initDynamics (Dynamics m) =
-  Dynamics $ \p ->
-  let sc = pointSpecs p
-  in m $ p { pointTime = basicTime sc 0 0,
-             pointIteration = 0,
-             pointPhase = 0 }
-
--- | Discretize the computation in the integration time points.
-discreteDynamics :: Dynamics a -> Dynamics a
-{-# INLINE discreteDynamics #-}
-discreteDynamics (Dynamics m) =
-  Dynamics $ \p ->
-  if pointPhase p == 0 then
-    m p
-  else
-    let sc = pointSpecs p
-        n  = pointIteration p
-    in m $ p { pointTime = basicTime sc n 0,
-               pointPhase = 0 }
-
--- | Interpolate the computation based on the integration time points only.
--- Unlike the 'discreteDynamics' function it knows about the intermediate 
--- time points that are used in the Runge-Kutta method.
-interpolateDynamics :: Dynamics a -> Dynamics a
-{-# INLINE interpolateDynamics #-}
-interpolateDynamics (Dynamics m) = 
-  Dynamics $ \p -> 
-  if pointPhase p >= 0 then 
-    m p
-  else 
-    let sc = pointSpecs p
-        n  = pointIteration p
-    in m $ p { pointTime = basicTime sc n 0,
-               pointPhase = 0 }
diff --git a/Simulation/Aivika/Dynamics/Memo.hs b/Simulation/Aivika/Dynamics/Memo.hs
--- a/Simulation/Aivika/Dynamics/Memo.hs
+++ b/Simulation/Aivika/Dynamics/Memo.hs
@@ -1,127 +1,159 @@
-
--- |
--- Module     : Simulation.Aivika.Dynamics.Memo
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines memo functions. The memoization creates such 'Dynamics'
--- computations, which values are cached in the integration time points. Then
--- these values are interpolated in all other time points.
---
-
-module Simulation.Aivika.Dynamics.Memo
-       (memoDynamics,
-        memo0Dynamics,
-        iterateDynamics) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Dynamics.Interpolate
-
--- | Create a boxed array with default values.
-newBoxedArray_ :: Ix i => (i, i) -> IO (IOArray i e)
-newBoxedArray_ = newArray_
-
--- | Memoize and order the computation in the integration time points using 
--- the interpolation that knows of the Runge-Kutta method. The values are
--- calculated sequentially starting from 'starttime'.
-memoDynamics :: Dynamics e -> Simulation (Dynamics e)
-{-# INLINE memoDynamics #-}
-memoDynamics (Dynamics m) = 
-  Simulation $ \r ->
-  do let sc = runSpecs r
-         (phl, phu) = integPhaseBnds sc
-         (nl, nu)   = integIterationBnds sc
-     arr   <- newBoxedArray_ ((phl, nl), (phu, nu))
-     nref  <- newIORef 0
-     phref <- newIORef 0
-     let r p = 
-           do let sc  = pointSpecs p
-                  n   = pointIteration p
-                  ph  = pointPhase p
-                  phu = integPhaseHiBnd sc 
-                  loop n' ph' = 
-                    if (n' > n) || ((n' == n) && (ph' > ph)) 
-                    then 
-                      readArray arr (ph, n)
-                    else 
-                      let p' = p { pointIteration = n', pointPhase = ph',
-                                   pointTime = basicTime sc n' ph' }
-                      in do a <- m p'
-                            a `seq` writeArray arr (ph', n') a
-                            if ph' >= phu 
-                              then do writeIORef phref 0
-                                      writeIORef nref (n' + 1)
-                                      loop (n' + 1) 0
-                              else do writeIORef phref (ph' + 1)
-                                      loop n' (ph' + 1)
-              n'  <- readIORef nref
-              ph' <- readIORef phref
-              loop n' ph'
-     return $ interpolateDynamics $ Dynamics r
-
--- | Memoize and order the computation in the integration time points using 
--- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoDynamics'
--- function but it is not aware of the Runge-Kutta method. There is a subtle
--- difference when we request for values in the intermediate time points
--- that are used by this method to integrate. In general case you should 
--- prefer the 'memo0Dynamics' function above 'memoDynamics'.
-memo0Dynamics :: Dynamics e -> Simulation (Dynamics e)
-{-# INLINE memo0Dynamics #-}
-memo0Dynamics (Dynamics m) = 
-  Simulation $ \r ->
-  do let sc   = runSpecs r
-         bnds = integIterationBnds sc
-     arr  <- newBoxedArray_ bnds
-     nref <- newIORef 0
-     let r p =
-           do let sc = pointSpecs p
-                  n  = pointIteration p
-                  loop n' = 
-                    if n' > n
-                    then 
-                      readArray arr n
-                    else 
-                      let p' = p { pointIteration = n', pointPhase = 0,
-                                   pointTime = basicTime sc n' 0 }
-                      in do a <- m p'
-                            a `seq` writeArray arr n' a
-                            writeIORef nref (n' + 1)
-                            loop (n' + 1)
-              n' <- readIORef nref
-              loop n'
-     return $ discreteDynamics $ Dynamics r
-
--- | Iterate sequentially the dynamic process with side effects in 
--- the integration time points. It is equivalent to a call of the
--- 'memo0Dynamics' function but significantly more efficient, for the array 
--- is not created.
-iterateDynamics :: Dynamics () -> Simulation (Dynamics ())
-{-# INLINE iterateDynamics #-}
-iterateDynamics (Dynamics m) = 
-  Simulation $ \r ->
-  do let sc = runSpecs r
-     nref <- newIORef 0
-     let r p =
-           do let sc = pointSpecs p
-                  n  = pointIteration p
-                  loop n' = 
-                    unless (n' > n) $
-                    let p' = p { pointIteration = n', pointPhase = 0,
-                                 pointTime = basicTime sc n' 0 }
-                    in do a <- m p'
-                          a `seq` writeIORef nref (n' + 1)
-                          loop (n' + 1)
-              n' <- readIORef nref
-              loop n'
-     return $ discreteDynamics $ Dynamics r
+
+-- |
+-- Module     : Simulation.Aivika.Dynamics.Memo
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines memo functions. The memoization creates such 'Dynamics'
+-- computations, which values are cached in the integration time points. Then
+-- these values are interpolated in all other time points.
+--
+
+module Simulation.Aivika.Dynamics.Memo
+       (memoDynamics,
+        memo0Dynamics,
+        iterateDynamics,
+        unzipDynamics,
+        unzip0Dynamics) where
+
+import Data.Array
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+
+-- | Create a boxed array with default values.
+newBoxedArray_ :: Ix i => (i, i) -> IO (IOArray i e)
+newBoxedArray_ = newArray_
+
+-- | Memoize and order the computation in the integration time points using 
+-- the interpolation that knows of the Runge-Kutta method. The values are
+-- calculated sequentially starting from 'starttime'.
+memoDynamics :: Dynamics e -> Simulation (Dynamics e)
+{-# INLINE memoDynamics #-}
+memoDynamics (Dynamics m) = 
+  Simulation $ \r ->
+  do let sc = runSpecs r
+         (phl, phu) = integPhaseBnds sc
+         (nl, nu)   = integIterationBnds sc
+     arr   <- newBoxedArray_ ((phl, nl), (phu, nu))
+     nref  <- newIORef 0
+     phref <- newIORef 0
+     let r p = 
+           do let sc  = pointSpecs p
+                  n   = pointIteration p
+                  ph  = pointPhase p
+                  phu = integPhaseHiBnd sc 
+                  loop n' ph' = 
+                    if (n' > n) || ((n' == n) && (ph' > ph)) 
+                    then 
+                      readArray arr (ph, n)
+                    else 
+                      let p' = p { pointIteration = n', pointPhase = ph',
+                                   pointTime = basicTime sc n' ph' }
+                      in do a <- m p'
+                            a `seq` writeArray arr (ph', n') a
+                            if ph' >= phu 
+                              then do writeIORef phref 0
+                                      writeIORef nref (n' + 1)
+                                      loop (n' + 1) 0
+                              else do writeIORef phref (ph' + 1)
+                                      loop n' (ph' + 1)
+              n'  <- readIORef nref
+              ph' <- readIORef phref
+              loop n' ph'
+     return $ interpolateDynamics $ Dynamics r
+
+-- | Memoize and order the computation in the integration time points using 
+-- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoDynamics'
+-- function but it is not aware of the Runge-Kutta method. There is a subtle
+-- difference when we request for values in the intermediate time points
+-- that are used by this method to integrate. In general case you should 
+-- prefer the 'memo0Dynamics' function above 'memoDynamics'.
+memo0Dynamics :: Dynamics e -> Simulation (Dynamics e)
+{-# INLINE memo0Dynamics #-}
+memo0Dynamics (Dynamics m) = 
+  Simulation $ \r ->
+  do let sc   = runSpecs r
+         bnds = integIterationBnds sc
+     arr  <- newBoxedArray_ bnds
+     nref <- newIORef 0
+     let r p =
+           do let sc = pointSpecs p
+                  n  = pointIteration p
+                  loop n' = 
+                    if n' > n
+                    then 
+                      readArray arr n
+                    else 
+                      let p' = p { pointIteration = n', pointPhase = 0,
+                                   pointTime = basicTime sc n' 0 }
+                      in do a <- m p'
+                            a `seq` writeArray arr n' a
+                            writeIORef nref (n' + 1)
+                            loop (n' + 1)
+              n' <- readIORef nref
+              loop n'
+     return $ discreteDynamics $ Dynamics r
+
+-- | Iterate sequentially the dynamic process with side effects in 
+-- the integration time points. It is equivalent to a call of the
+-- 'memo0Dynamics' function but significantly more efficient, for the array 
+-- is not created.
+iterateDynamics :: Dynamics () -> Simulation (Dynamics ())
+{-# INLINE iterateDynamics #-}
+iterateDynamics (Dynamics m) = 
+  Simulation $ \r ->
+  do let sc = runSpecs r
+     nref <- newIORef 0
+     let r p =
+           do let sc = pointSpecs p
+                  n  = pointIteration p
+                  loop n' = 
+                    unless (n' > n) $
+                    let p' = p { pointIteration = n', pointPhase = 0,
+                                 pointTime = basicTime sc n' 0 }
+                    in do a <- m p'
+                          a `seq` writeIORef nref (n' + 1)
+                          loop (n' + 1)
+              n' <- readIORef nref
+              loop n'
+     return $ discreteDynamics $ Dynamics r
+
+-- | Memoize and unzip the computation of pairs, applying the 'memoDynamics' function.
+unzipDynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b)
+unzipDynamics m =
+  Simulation $ \r ->
+  do m' <- invokeSimulation r (memoDynamics m)
+     let ma =
+           Dynamics $ \p ->
+           do (a, _) <- invokeDynamics p m'
+              return a
+         mb =
+           Dynamics $ \p ->
+           do (_, b) <- invokeDynamics p m'
+              return b
+     return (ma, mb)
+
+-- | Memoize and unzip the computation of pairs, applying the 'memo0Dynamics' function.
+unzip0Dynamics :: Dynamics (a, b) -> Simulation (Dynamics a, Dynamics b)
+unzip0Dynamics m =
+  Simulation $ \r ->
+  do m' <- invokeSimulation r (memo0Dynamics m)
+     let ma =
+           Dynamics $ \p ->
+           do (a, _) <- invokeDynamics p m'
+              return a
+         mb =
+           Dynamics $ \p ->
+           do (_, b) <- invokeDynamics p m'
+              return b
+     return (ma, mb)
diff --git a/Simulation/Aivika/Dynamics/Memo/Unboxed.hs b/Simulation/Aivika/Dynamics/Memo/Unboxed.hs
--- a/Simulation/Aivika/Dynamics/Memo/Unboxed.hs
+++ b/Simulation/Aivika/Dynamics/Memo/Unboxed.hs
@@ -1,102 +1,102 @@
-
-{-# LANGUAGE FlexibleContexts #-}
-
--- |
--- Module     : Simulation.Aivika.Dynamics.Memo.Unboxed
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the unboxed memo functions. The memoization creates such 'Dynamics'
--- computations, which values are cached in the integration time points. Then
--- these values are interpolated in all other time points.
---
-
-module Simulation.Aivika.Dynamics.Memo.Unboxed
-       (memoDynamics,
-        memo0Dynamics) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Dynamics.Interpolate
-import Simulation.Aivika.Unboxed
-
--- | Memoize and order the computation in the integration time points using 
--- the interpolation that knows of the Runge-Kutta method. The values are
--- calculated sequentially starting from 'starttime'.
-memoDynamics :: Unboxed e => Dynamics e -> Simulation (Dynamics e)
-{-# INLINE memoDynamics #-}
-memoDynamics (Dynamics m) = 
-  Simulation $ \r ->
-  do let sc = runSpecs r
-         (phl, phu) = integPhaseBnds sc
-         (nl, nu)   = integIterationBnds sc
-     arr   <- newUnboxedArray_ ((phl, nl), (phu, nu))
-     nref  <- newIORef 0
-     phref <- newIORef 0
-     let r p =
-           do let sc  = pointSpecs p
-                  n   = pointIteration p
-                  ph  = pointPhase p
-                  phu = integPhaseHiBnd sc 
-                  loop n' ph' = 
-                    if (n' > n) || ((n' == n) && (ph' > ph)) 
-                    then 
-                      readArray arr (ph, n)
-                    else 
-                      let p' = p { pointIteration = n', 
-                                   pointPhase = ph',
-                                   pointTime = basicTime sc n' ph' }
-                      in do a <- m p'
-                            a `seq` writeArray arr (ph', n') a
-                            if ph' >= phu 
-                              then do writeIORef phref 0
-                                      writeIORef nref (n' + 1)
-                                      loop (n' + 1) 0
-                              else do writeIORef phref (ph' + 1)
-                                      loop n' (ph' + 1)
-              n'  <- readIORef nref
-              ph' <- readIORef phref
-              loop n' ph'
-     return $ interpolateDynamics $ Dynamics r
-
--- | Memoize and order the computation in the integration time points using 
--- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoDynamics'
--- function but it is not aware of the Runge-Kutta method. There is a subtle
--- difference when we request for values in the intermediate time points
--- that are used by this method to integrate. In general case you should 
--- prefer the 'memo0Dynamics' function above 'memoDynamics'.
-memo0Dynamics :: Unboxed e => Dynamics e -> Simulation (Dynamics e)
-{-# INLINE memo0Dynamics #-}
-memo0Dynamics (Dynamics m) = 
-  Simulation $ \r ->
-  do let sc   = runSpecs r
-         bnds = integIterationBnds sc
-     arr  <- newUnboxedArray_ bnds
-     nref <- newIORef 0
-     let r p =
-           do let sc = pointSpecs p
-                  n  = pointIteration p
-                  loop n' = 
-                    if n' > n
-                    then 
-                      readArray arr n
-                    else 
-                      let p' = p { pointIteration = n', pointPhase = 0,
-                                   pointTime = basicTime sc n' 0 }
-                      in do a <- m p'
-                            a `seq` writeArray arr n' a
-                            writeIORef nref (n' + 1)
-                            loop (n' + 1)
-              n' <- readIORef nref
-              loop n'
-     return $ discreteDynamics $ Dynamics r
+
+{-# LANGUAGE FlexibleContexts #-}
+
+-- |
+-- Module     : Simulation.Aivika.Dynamics.Memo.Unboxed
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the unboxed memo functions. The memoization creates such 'Dynamics'
+-- computations, which values are cached in the integration time points. Then
+-- these values are interpolated in all other time points.
+--
+
+module Simulation.Aivika.Dynamics.Memo.Unboxed
+       (memoDynamics,
+        memo0Dynamics) where
+
+import Data.Array
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Unboxed
+
+-- | Memoize and order the computation in the integration time points using 
+-- the interpolation that knows of the Runge-Kutta method. The values are
+-- calculated sequentially starting from 'starttime'.
+memoDynamics :: Unboxed e => Dynamics e -> Simulation (Dynamics e)
+{-# INLINE memoDynamics #-}
+memoDynamics (Dynamics m) = 
+  Simulation $ \r ->
+  do let sc = runSpecs r
+         (phl, phu) = integPhaseBnds sc
+         (nl, nu)   = integIterationBnds sc
+     arr   <- newUnboxedArray_ ((phl, nl), (phu, nu))
+     nref  <- newIORef 0
+     phref <- newIORef 0
+     let r p =
+           do let sc  = pointSpecs p
+                  n   = pointIteration p
+                  ph  = pointPhase p
+                  phu = integPhaseHiBnd sc 
+                  loop n' ph' = 
+                    if (n' > n) || ((n' == n) && (ph' > ph)) 
+                    then 
+                      readArray arr (ph, n)
+                    else 
+                      let p' = p { pointIteration = n', 
+                                   pointPhase = ph',
+                                   pointTime = basicTime sc n' ph' }
+                      in do a <- m p'
+                            a `seq` writeArray arr (ph', n') a
+                            if ph' >= phu 
+                              then do writeIORef phref 0
+                                      writeIORef nref (n' + 1)
+                                      loop (n' + 1) 0
+                              else do writeIORef phref (ph' + 1)
+                                      loop n' (ph' + 1)
+              n'  <- readIORef nref
+              ph' <- readIORef phref
+              loop n' ph'
+     return $ interpolateDynamics $ Dynamics r
+
+-- | Memoize and order the computation in the integration time points using 
+-- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoDynamics'
+-- function but it is not aware of the Runge-Kutta method. There is a subtle
+-- difference when we request for values in the intermediate time points
+-- that are used by this method to integrate. In general case you should 
+-- prefer the 'memo0Dynamics' function above 'memoDynamics'.
+memo0Dynamics :: Unboxed e => Dynamics e -> Simulation (Dynamics e)
+{-# INLINE memo0Dynamics #-}
+memo0Dynamics (Dynamics m) = 
+  Simulation $ \r ->
+  do let sc   = runSpecs r
+         bnds = integIterationBnds sc
+     arr  <- newUnboxedArray_ bnds
+     nref <- newIORef 0
+     let r p =
+           do let sc = pointSpecs p
+                  n  = pointIteration p
+                  loop n' = 
+                    if n' > n
+                    then 
+                      readArray arr n
+                    else 
+                      let p' = p { pointIteration = n', pointPhase = 0,
+                                   pointTime = basicTime sc n' 0 }
+                      in do a <- m p'
+                            a `seq` writeArray arr n' a
+                            writeIORef nref (n' + 1)
+                            loop (n' + 1)
+              n' <- readIORef nref
+              loop n'
+     return $ discreteDynamics $ Dynamics r
diff --git a/Simulation/Aivika/Dynamics/Random.hs b/Simulation/Aivika/Dynamics/Random.hs
--- a/Simulation/Aivika/Dynamics/Random.hs
+++ b/Simulation/Aivika/Dynamics/Random.hs
@@ -1,132 +1,132 @@
-
--- |
--- Module     : Simulation.Aivika.Dynamics.Random
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the random functions that always return the same values
--- in the integration time points within a single simulation run. The values
--- for another simulation run will be regenerated anew.
---
--- For example, the computations returned by these functions can be used in
--- the equations of System Dynamics.
---
--- Also it is worth noting that the values are generated in a strong order starting
--- from 'starttime' with step 'dt'. This is how the 'memo0Dynamics' function
--- actually works.
---
-
-module Simulation.Aivika.Dynamics.Random
-       (memoRandomUniformDynamics,
-        memoRandomUniformIntDynamics,
-        memoRandomNormalDynamics,
-        memoRandomExponentialDynamics,
-        memoRandomErlangDynamics,
-        memoRandomPoissonDynamics,
-        memoRandomBinomialDynamics) where
-
-import System.Random
-
-import Control.Monad.Trans
-
-import Simulation.Aivika.Generator
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Dynamics.Memo.Unboxed
-
--- | Computation that generates random numbers distributed uniformly and
--- memoizes them in the integration time points.
-memoRandomUniformDynamics :: Dynamics Double     -- ^ minimum
-                             -> Dynamics Double  -- ^ maximum
-                             -> Simulation (Dynamics Double)
-memoRandomUniformDynamics min max =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     min' <- invokeDynamics p min
-     max' <- invokeDynamics p max
-     generatorUniform g min' max'
-
--- | Computation that generates random integer numbers distributed uniformly and
--- memoizes them in the integration time points.
-memoRandomUniformIntDynamics :: Dynamics Int     -- ^ minimum
-                                -> Dynamics Int  -- ^ maximum
-                                -> Simulation (Dynamics Int)
-memoRandomUniformIntDynamics min max =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     min' <- invokeDynamics p min
-     max' <- invokeDynamics p max
-     generatorUniformInt g min' max'
-
--- | Computation that generates random numbers distributed normally and
--- memoizes them in the integration time points.
-memoRandomNormalDynamics :: Dynamics Double     -- ^ mean
-                            -> Dynamics Double  -- ^ deviation
-                            -> Simulation (Dynamics Double)
-memoRandomNormalDynamics mu nu =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     mu' <- invokeDynamics p mu
-     nu' <- invokeDynamics p nu
-     generatorNormal g mu' nu'
-
--- | Computation that generates exponential random numbers with the specified mean
--- (the reciprocal of the rate) and memoizes them in the integration time points.
-memoRandomExponentialDynamics :: Dynamics Double
-                                 -- ^ the mean (the reciprocal of the rate)
-                                 -> Simulation (Dynamics Double)
-memoRandomExponentialDynamics mu =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     mu' <- invokeDynamics p mu
-     generatorExponential g mu'
-
--- | Computation that generates the Erlang random numbers with the specified scale
--- (the reciprocal of the rate) and integer shape but memoizes them in the integration
--- time points.
-memoRandomErlangDynamics :: Dynamics Double
-                            -- ^ the scale (the reciprocal of the rate)
-                            -> Dynamics Int
-                            -- ^ the shape
-                            -> Simulation (Dynamics Double)
-memoRandomErlangDynamics beta m =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     beta' <- invokeDynamics p beta
-     m' <- invokeDynamics p m
-     generatorErlang g beta' m'
-
--- | Computation that generats the Poisson random numbers with the specified mean
--- and memoizes them in the integration time points.
-memoRandomPoissonDynamics :: Dynamics Double
-                             -- ^ the mean
-                             -> Simulation (Dynamics Int)
-memoRandomPoissonDynamics mu =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     mu' <- invokeDynamics p mu
-     generatorPoisson g mu'
-
--- | Computation that generates binomial random numbers with the specified
--- probability and trials but memoizes them in the integration time points.
-memoRandomBinomialDynamics :: Dynamics Double  -- ^ the probability
-                              -> Dynamics Int  -- ^ the number of trials
-                              -> Simulation (Dynamics Int)
-memoRandomBinomialDynamics prob trials =
-  memo0Dynamics $
-  Dynamics $ \p ->
-  do let g = runGenerator $ pointRun p
-     prob' <- invokeDynamics p prob
-     trials' <- invokeDynamics p trials
-     generatorBinomial g prob' trials'
+
+-- |
+-- Module     : Simulation.Aivika.Dynamics.Random
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the random functions that always return the same values
+-- in the integration time points within a single simulation run. The values
+-- for another simulation run will be regenerated anew.
+--
+-- For example, the computations returned by these functions can be used in
+-- the equations of System Dynamics.
+--
+-- Also it is worth noting that the values are generated in a strong order starting
+-- from 'starttime' with step 'dt'. This is how the 'memo0Dynamics' function
+-- actually works.
+--
+
+module Simulation.Aivika.Dynamics.Random
+       (memoRandomUniformDynamics,
+        memoRandomUniformIntDynamics,
+        memoRandomNormalDynamics,
+        memoRandomExponentialDynamics,
+        memoRandomErlangDynamics,
+        memoRandomPoissonDynamics,
+        memoRandomBinomialDynamics) where
+
+import System.Random
+
+import Control.Monad.Trans
+
+import Simulation.Aivika.Generator
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Dynamics.Memo.Unboxed
+
+-- | Computation that generates random numbers distributed uniformly and
+-- memoizes them in the integration time points.
+memoRandomUniformDynamics :: Dynamics Double     -- ^ minimum
+                             -> Dynamics Double  -- ^ maximum
+                             -> Simulation (Dynamics Double)
+memoRandomUniformDynamics min max =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     min' <- invokeDynamics p min
+     max' <- invokeDynamics p max
+     generateUniform g min' max'
+
+-- | Computation that generates random integer numbers distributed uniformly and
+-- memoizes them in the integration time points.
+memoRandomUniformIntDynamics :: Dynamics Int     -- ^ minimum
+                                -> Dynamics Int  -- ^ maximum
+                                -> Simulation (Dynamics Int)
+memoRandomUniformIntDynamics min max =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     min' <- invokeDynamics p min
+     max' <- invokeDynamics p max
+     generateUniformInt g min' max'
+
+-- | Computation that generates random numbers distributed normally and
+-- memoizes them in the integration time points.
+memoRandomNormalDynamics :: Dynamics Double     -- ^ mean
+                            -> Dynamics Double  -- ^ deviation
+                            -> Simulation (Dynamics Double)
+memoRandomNormalDynamics mu nu =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     mu' <- invokeDynamics p mu
+     nu' <- invokeDynamics p nu
+     generateNormal g mu' nu'
+
+-- | Computation that generates exponential random numbers with the specified mean
+-- (the reciprocal of the rate) and memoizes them in the integration time points.
+memoRandomExponentialDynamics :: Dynamics Double
+                                 -- ^ the mean (the reciprocal of the rate)
+                                 -> Simulation (Dynamics Double)
+memoRandomExponentialDynamics mu =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     mu' <- invokeDynamics p mu
+     generateExponential g mu'
+
+-- | Computation that generates the Erlang random numbers with the specified scale
+-- (the reciprocal of the rate) and integer shape but memoizes them in the integration
+-- time points.
+memoRandomErlangDynamics :: Dynamics Double
+                            -- ^ the scale (the reciprocal of the rate)
+                            -> Dynamics Int
+                            -- ^ the shape
+                            -> Simulation (Dynamics Double)
+memoRandomErlangDynamics beta m =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     beta' <- invokeDynamics p beta
+     m' <- invokeDynamics p m
+     generateErlang g beta' m'
+
+-- | Computation that generats the Poisson random numbers with the specified mean
+-- and memoizes them in the integration time points.
+memoRandomPoissonDynamics :: Dynamics Double
+                             -- ^ the mean
+                             -> Simulation (Dynamics Int)
+memoRandomPoissonDynamics mu =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     mu' <- invokeDynamics p mu
+     generatePoisson g mu'
+
+-- | Computation that generates binomial random numbers with the specified
+-- probability and trials but memoizes them in the integration time points.
+memoRandomBinomialDynamics :: Dynamics Double  -- ^ the probability
+                              -> Dynamics Int  -- ^ the number of trials
+                              -> Simulation (Dynamics Int)
+memoRandomBinomialDynamics prob trials =
+  memo0Dynamics $
+  Dynamics $ \p ->
+  do let g = runGenerator $ pointRun p
+     prob' <- invokeDynamics p prob
+     trials' <- invokeDynamics p trials
+     generateBinomial g prob' trials'
diff --git a/Simulation/Aivika/Event.hs b/Simulation/Aivika/Event.hs
--- a/Simulation/Aivika/Event.hs
+++ b/Simulation/Aivika/Event.hs
@@ -1,44 +1,44 @@
-
--- |
--- Module     : Simulation.Aivika.Event
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines the 'Event' monad which is very similar to the 'Dynamics'
--- monad but only now the computation is strongly synchronized with the event queue.
---
-module Simulation.Aivika.Event
-       (-- * Event Monad
-        Event,
-        EventLift(..),
-        EventProcessing(..),
-        runEvent,
-        runEventWith,
-        runEventInStartTime,
-        runEventInStopTime,
-        -- * Event Queue
-        enqueueEvent,
-        enqueueEventWithCancellation,
-        enqueueEventWithTimes,
-        enqueueEventWithIntegTimes,
-        yieldEvent,
-        eventQueueCount,
-        -- * Cancelling Event
-        EventCancellation,
-        cancelEvent,
-        eventCancelled,
-        eventFinished,
-        -- * Error Handling
-        catchEvent,
-        finallyEvent,
-        throwEvent,
-        -- * Memoization
-        memoEvent,
-        memoEventInTime,
-        -- * Disposable
-        DisposableEvent(..)) where
-
-import Simulation.Aivika.Internal.Event
+
+-- |
+-- Module     : Simulation.Aivika.Event
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Event' monad which is very similar to the 'Dynamics'
+-- monad but only now the computation is strongly synchronized with the event queue.
+--
+module Simulation.Aivika.Event
+       (-- * Event Monad
+        Event,
+        EventLift(..),
+        EventProcessing(..),
+        runEvent,
+        runEventWith,
+        runEventInStartTime,
+        runEventInStopTime,
+        -- * Event Queue
+        enqueueEvent,
+        enqueueEventWithCancellation,
+        enqueueEventWithTimes,
+        enqueueEventWithIntegTimes,
+        yieldEvent,
+        eventQueueCount,
+        -- * Cancelling Event
+        EventCancellation,
+        cancelEvent,
+        eventCancelled,
+        eventFinished,
+        -- * Error Handling
+        catchEvent,
+        finallyEvent,
+        throwEvent,
+        -- * Memoization
+        memoEvent,
+        memoEventInTime,
+        -- * Disposable
+        DisposableEvent(..)) where
+
+import Simulation.Aivika.Internal.Event
diff --git a/Simulation/Aivika/Generator.hs b/Simulation/Aivika/Generator.hs
--- a/Simulation/Aivika/Generator.hs
+++ b/Simulation/Aivika/Generator.hs
@@ -1,220 +1,220 @@
-
--- |
--- Module     : Simulation.Aivika.Generator
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- Below is defined a type class of the random number generator.
---
-module Simulation.Aivika.Generator 
-       (Generator(..),
-        GeneratorType(..),
-        newGenerator,
-        newRandomGenerator) where
-
-import System.Random
-import Data.IORef
-
--- | Defines a random number generator.
-data Generator =
-  Generator { generatorUniform :: Double -> Double -> IO Double,
-              -- ^ Generate an uniform random number
-              -- with the specified minimum and maximum.
-              generatorUniformInt :: Int -> Int -> IO Int,
-              -- ^ Generate an uniform integer random number
-              -- with the specified minimum and maximum.
-              generatorNormal :: Double -> Double -> IO Double,
-              -- ^ Generate the normal random number
-              -- with the specified mean and deviation.
-              generatorExponential :: Double -> IO Double,
-              -- ^ Generate the random number distributed exponentially
-              -- with the specified mean (the reciprocal of the rate).
-              generatorErlang :: Double -> Int -> IO Double,
-              -- ^ Generate the Erlang random number
-              -- with the specified scale (the reciprocal of the rate) and integer shape.
-              generatorPoisson :: Double -> IO Int,
-              -- ^ Generate the Poisson random number
-              -- with the specified mean.
-              generatorBinomial :: Double -> Int -> IO Int
-              -- ^ Generate the binomial random number
-              -- with the specified probability and number of trials.
-            }
-
--- | Generate the uniform random number with the specified minimum and maximum.
-generateUniform :: IO Double
-                   -- ^ the generator
-                   -> Double
-                   -- ^ minimum
-                   -> Double
-                   -- ^ maximum
-                   -> IO Double
-generateUniform g min max =
-  do x <- g
-     return $ min + x * (max - min)
-
--- | Generate the uniform random number with the specified minimum and maximum.
-generateUniformInt :: IO Double
-                      -- ^ the generator
-                      -> Int
-                      -- ^ minimum
-                      -> Int
-                      -- ^ maximum
-                      -> IO Int
-generateUniformInt g min max =
-  do x <- g
-     let min' = fromIntegral min
-         max' = fromIntegral max
-     return $ round (min' + x * (max' - min'))
-
--- | Create a normal random number generator with mean 0 and variance 1
--- by the specified generator of uniform random numbers from 0 to 1.
-newNormalGenerator :: IO Double
-                      -- ^ the generator
-                      -> IO (IO Double)
-newNormalGenerator g =
-  do nextRef <- newIORef 0.0
-     flagRef <- newIORef False
-     xi1Ref  <- newIORef 0.0
-     xi2Ref  <- newIORef 0.0
-     psiRef  <- newIORef 0.0
-     let loop =
-           do psi <- readIORef psiRef
-              if (psi >= 1.0) || (psi == 0.0)
-                then do g1 <- g
-                        g2 <- g
-                        let xi1 = 2.0 * g1 - 1.0
-                            xi2 = 2.0 * g2 - 1.0
-                            psi = xi1 * xi1 + xi2 * xi2
-                        writeIORef xi1Ref xi1
-                        writeIORef xi2Ref xi2
-                        writeIORef psiRef psi
-                        loop
-                else writeIORef psiRef $ sqrt (- 2.0 * log psi / psi)
-     return $
-       do flag <- readIORef flagRef
-          if flag
-            then do writeIORef flagRef False
-                    readIORef nextRef
-            else do writeIORef xi1Ref 0.0
-                    writeIORef xi2Ref 0.0
-                    writeIORef psiRef 0.0
-                    loop
-                    xi1 <- readIORef xi1Ref
-                    xi2 <- readIORef xi2Ref
-                    psi <- readIORef psiRef
-                    writeIORef flagRef True
-                    writeIORef nextRef $ xi2 * psi
-                    return $ xi1 * psi
-
--- | Return the exponential random number with the specified mean.
-generateExponential :: IO Double
-                       -- ^ the generator
-                       -> Double
-                       -- ^ the mean
-                       -> IO Double
-generateExponential g mu =
-  do x <- g
-     return (- log x * mu)
-
--- | Return the Erlang random number.
-generateErlang :: IO Double
-                  -- ^ the generator
-                  -> Double
-                  -- ^ the scale
-                  -> Int
-                  -- ^ the shape
-                  -> IO Double
-generateErlang g beta m =
-  do x <- loop m 1
-     return (- log x * beta)
-       where loop m acc
-               | m < 0     = error "Negative shape: generateErlang."
-               | m == 0    = return acc
-               | otherwise = do x <- g
-                                loop (m - 1) (x * acc)
-
--- | Generate the Poisson random number with the specified mean.
-generatePoisson :: IO Double
-                   -- ^ the generator
-                   -> Double
-                   -- ^ the mean
-                   -> IO Int
-generatePoisson g mu =
-  do prob0 <- g
-     let loop prob prod acc
-           | prob <= prod = return acc
-           | otherwise    = loop
-                            (prob - prod)
-                            (prod * mu / fromIntegral (acc + 1))
-                            (acc + 1)
-     loop prob0 (exp (- mu)) 0
-
--- | Generate a binomial random number with the specified probability and number of trials. 
-generateBinomial :: IO Double
-                    -- ^ the generator
-                    -> Double 
-                    -- ^ the probability
-                    -> Int
-                    -- ^ the number of trials
-                    -> IO Int
-generateBinomial g prob trials = loop trials 0 where
-  loop n acc
-    | n < 0     = error "Negative number of trials: generateBinomial."
-    | n == 0    = return acc
-    | otherwise = do x <- g
-                     if x <= prob
-                       then loop (n - 1) (acc + 1)
-                       else loop (n - 1) acc
-
--- | Defines a type of the random number generator.
-data GeneratorType = SimpleGenerator
-                     -- ^ The simple random number generator.
-                   | SimpleGeneratorWithSeed Int
-                     -- ^ The simple random number generator with the specified seed.
-                   | CustomGenerator (IO Generator)
-                     -- ^ The custom random number generator.
-                   | CustomGenerator01 (IO Double)
-                     -- ^ The custom random number generator by the specified uniform
-                     -- generator of numbers from 0 to 1.
-
--- | Create a new random number generator by the specified type.
-newGenerator :: GeneratorType -> IO Generator
-newGenerator tp =
-  case tp of
-    SimpleGenerator ->
-      newStdGen >>= newRandomGenerator
-    SimpleGeneratorWithSeed x ->
-      newRandomGenerator $ mkStdGen x
-    CustomGenerator g ->
-      g
-    CustomGenerator01 g ->
-      newRandomGenerator01 g
-
--- | Create a new random generator by the specified standard generator.
-newRandomGenerator :: RandomGen g => g -> IO Generator
-newRandomGenerator g =
-  do r <- newIORef g
-     let g1 = do g <- readIORef r
-                 let (x, g') = random g
-                 writeIORef r g'
-                 return x
-     newRandomGenerator01 g1
-
--- | Create a new random generator by the specified uniform generator of numbers from 0 to 1.
-newRandomGenerator01 :: IO Double -> IO Generator
-newRandomGenerator01 g =
-  do let g1 = g
-     g2 <- newNormalGenerator g1
-     let g3 mu nu =
-           do x <- g2
-              return $ mu + nu * x
-     return Generator { generatorUniform = generateUniform g1,
-                        generatorUniformInt = generateUniformInt g1,
-                        generatorNormal = g3,
-                        generatorExponential = generateExponential g1,
-                        generatorErlang = generateErlang g1,
-                        generatorPoisson = generatePoisson g1,
-                        generatorBinomial = generateBinomial g1 }
+
+-- |
+-- Module     : Simulation.Aivika.Generator
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- Below is defined a type class of the random number generator.
+--
+module Simulation.Aivika.Generator 
+       (Generator(..),
+        GeneratorType(..),
+        newGenerator,
+        newRandomGenerator) where
+
+import System.Random
+import Data.IORef
+
+-- | Defines a random number generator.
+data Generator =
+  Generator { generateUniform :: Double -> Double -> IO Double,
+              -- ^ Generate an uniform random number
+              -- with the specified minimum and maximum.
+              generateUniformInt :: Int -> Int -> IO Int,
+              -- ^ Generate an uniform integer random number
+              -- with the specified minimum and maximum.
+              generateNormal :: Double -> Double -> IO Double,
+              -- ^ Generate the normal random number
+              -- with the specified mean and deviation.
+              generateExponential :: Double -> IO Double,
+              -- ^ Generate the random number distributed exponentially
+              -- with the specified mean (the reciprocal of the rate).
+              generateErlang :: Double -> Int -> IO Double,
+              -- ^ Generate the Erlang random number
+              -- with the specified scale (the reciprocal of the rate) and integer shape.
+              generatePoisson :: Double -> IO Int,
+              -- ^ Generate the Poisson random number
+              -- with the specified mean.
+              generateBinomial :: Double -> Int -> IO Int
+              -- ^ Generate the binomial random number
+              -- with the specified probability and number of trials.
+            }
+
+-- | Generate the uniform random number with the specified minimum and maximum.
+generateUniform01 :: IO Double
+                     -- ^ the generator
+                     -> Double
+                     -- ^ minimum
+                     -> Double
+                     -- ^ maximum
+                     -> IO Double
+generateUniform01 g min max =
+  do x <- g
+     return $ min + x * (max - min)
+
+-- | Generate the uniform random number with the specified minimum and maximum.
+generateUniformInt01 :: IO Double
+                        -- ^ the generator
+                        -> Int
+                        -- ^ minimum
+                        -> Int
+                        -- ^ maximum
+                        -> IO Int
+generateUniformInt01 g min max =
+  do x <- g
+     let min' = fromIntegral min
+         max' = fromIntegral max
+     return $ round (min' + x * (max' - min'))
+
+-- | Create a normal random number generator with mean 0 and variance 1
+-- by the specified generator of uniform random numbers from 0 to 1.
+newNormalGenerator01 :: IO Double
+                        -- ^ the generator
+                        -> IO (IO Double)
+newNormalGenerator01 g =
+  do nextRef <- newIORef 0.0
+     flagRef <- newIORef False
+     xi1Ref  <- newIORef 0.0
+     xi2Ref  <- newIORef 0.0
+     psiRef  <- newIORef 0.0
+     let loop =
+           do psi <- readIORef psiRef
+              if (psi >= 1.0) || (psi == 0.0)
+                then do g1 <- g
+                        g2 <- g
+                        let xi1 = 2.0 * g1 - 1.0
+                            xi2 = 2.0 * g2 - 1.0
+                            psi = xi1 * xi1 + xi2 * xi2
+                        writeIORef xi1Ref xi1
+                        writeIORef xi2Ref xi2
+                        writeIORef psiRef psi
+                        loop
+                else writeIORef psiRef $ sqrt (- 2.0 * log psi / psi)
+     return $
+       do flag <- readIORef flagRef
+          if flag
+            then do writeIORef flagRef False
+                    readIORef nextRef
+            else do writeIORef xi1Ref 0.0
+                    writeIORef xi2Ref 0.0
+                    writeIORef psiRef 0.0
+                    loop
+                    xi1 <- readIORef xi1Ref
+                    xi2 <- readIORef xi2Ref
+                    psi <- readIORef psiRef
+                    writeIORef flagRef True
+                    writeIORef nextRef $ xi2 * psi
+                    return $ xi1 * psi
+
+-- | Return the exponential random number with the specified mean.
+generateExponential01 :: IO Double
+                         -- ^ the generator
+                         -> Double
+                         -- ^ the mean
+                         -> IO Double
+generateExponential01 g mu =
+  do x <- g
+     return (- log x * mu)
+
+-- | Return the Erlang random number.
+generateErlang01 :: IO Double
+                    -- ^ the generator
+                    -> Double
+                    -- ^ the scale
+                    -> Int
+                    -- ^ the shape
+                    -> IO Double
+generateErlang01 g beta m =
+  do x <- loop m 1
+     return (- log x * beta)
+       where loop m acc
+               | m < 0     = error "Negative shape: generateErlang."
+               | m == 0    = return acc
+               | otherwise = do x <- g
+                                loop (m - 1) (x * acc)
+
+-- | Generate the Poisson random number with the specified mean.
+generatePoisson01 :: IO Double
+                     -- ^ the generator
+                     -> Double
+                     -- ^ the mean
+                     -> IO Int
+generatePoisson01 g mu =
+  do prob0 <- g
+     let loop prob prod acc
+           | prob <= prod = return acc
+           | otherwise    = loop
+                            (prob - prod)
+                            (prod * mu / fromIntegral (acc + 1))
+                            (acc + 1)
+     loop prob0 (exp (- mu)) 0
+
+-- | Generate a binomial random number with the specified probability and number of trials. 
+generateBinomial01 :: IO Double
+                      -- ^ the generator
+                      -> Double 
+                      -- ^ the probability
+                      -> Int
+                      -- ^ the number of trials
+                      -> IO Int
+generateBinomial01 g prob trials = loop trials 0 where
+  loop n acc
+    | n < 0     = error "Negative number of trials: generateBinomial."
+    | n == 0    = return acc
+    | otherwise = do x <- g
+                     if x <= prob
+                       then loop (n - 1) (acc + 1)
+                       else loop (n - 1) acc
+
+-- | Defines a type of the random number generator.
+data GeneratorType = SimpleGenerator
+                     -- ^ The simple random number generator.
+                   | SimpleGeneratorWithSeed Int
+                     -- ^ The simple random number generator with the specified seed.
+                   | CustomGenerator (IO Generator)
+                     -- ^ The custom random number generator.
+                   | CustomGenerator01 (IO Double)
+                     -- ^ The custom random number generator by the specified uniform
+                     -- generator of numbers from 0 to 1.
+
+-- | Create a new random number generator by the specified type.
+newGenerator :: GeneratorType -> IO Generator
+newGenerator tp =
+  case tp of
+    SimpleGenerator ->
+      newStdGen >>= newRandomGenerator
+    SimpleGeneratorWithSeed x ->
+      newRandomGenerator $ mkStdGen x
+    CustomGenerator g ->
+      g
+    CustomGenerator01 g ->
+      newRandomGenerator01 g
+
+-- | Create a new random generator by the specified standard generator.
+newRandomGenerator :: RandomGen g => g -> IO Generator
+newRandomGenerator g =
+  do r <- newIORef g
+     let g1 = do g <- readIORef r
+                 let (x, g') = random g
+                 writeIORef r g'
+                 return x
+     newRandomGenerator01 g1
+
+-- | Create a new random generator by the specified uniform generator of numbers from 0 to 1.
+newRandomGenerator01 :: IO Double -> IO Generator
+newRandomGenerator01 g =
+  do let g1 = g
+     g2 <- newNormalGenerator01 g1
+     let g3 mu nu =
+           do x <- g2
+              return $ mu + nu * x
+     return Generator { generateUniform = generateUniform01 g1,
+                        generateUniformInt = generateUniformInt01 g1,
+                        generateNormal = g3,
+                        generateExponential = generateExponential01 g1,
+                        generateErlang = generateErlang01 g1,
+                        generatePoisson = generatePoisson01 g1,
+                        generateBinomial = generateBinomial01 g1 }
diff --git a/Simulation/Aivika/Internal/Arrival.hs b/Simulation/Aivika/Internal/Arrival.hs
--- a/Simulation/Aivika/Internal/Arrival.hs
+++ b/Simulation/Aivika/Internal/Arrival.hs
@@ -1,39 +1,39 @@
-
--- |
--- Module     : Simulation.Aivika.Internal.Arrival
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the types and functions for working with the events
--- that can represent something that arrive from outside the model, or
--- represent other things which computation is delayed and hence is not synchronized.
---
--- Therefore, the additional information is provided about the time and delay of arrival.
-
-module Simulation.Aivika.Internal.Arrival
-       (Arrival(..)) where
-
-import Simulation.Aivika.Event
-
--- | It defines when an event has arrived, usually generated by some random stream.
---
--- Such events should arrive one by one without time lag in the following sense
--- that the model should start awaiting the next event exactly in that time
--- when the previous event has arrived.
---
--- Another use case is a situation when the actual event is not synchronized with
--- the 'Event' computation, being synchronized with the event queue, nevertheless.
--- Then the arrival is used for providing the additional information about the time
--- at which the event had been actually arrived.
-data Arrival a =
-  Arrival { arrivalValue :: a,
-            -- ^ the data we received with the event
-            arrivalTime :: Double,
-            -- ^ the simulation time at which the event has arrived
-            arrivalDelay :: Maybe Double
-            -- ^ the delay time which has passed from the time of
-            -- arriving the previous event
-          } deriving (Eq, Ord, Show)
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Arrival
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the types and functions for working with the events
+-- that can represent something that arrive from outside the model, or
+-- represent other things which computation is delayed and hence is not synchronized.
+--
+-- Therefore, the additional information is provided about the time and delay of arrival.
+
+module Simulation.Aivika.Internal.Arrival
+       (Arrival(..)) where
+
+import Simulation.Aivika.Event
+
+-- | It defines when an event has arrived, usually generated by some random stream.
+--
+-- Such events should arrive one by one without time lag in the following sense
+-- that the model should start awaiting the next event exactly in that time
+-- when the previous event has arrived.
+--
+-- Another use case is a situation when the actual event is not synchronized with
+-- the 'Event' computation, being synchronized with the event queue, nevertheless.
+-- Then the arrival is used for providing the additional information about the time
+-- at which the event had been actually arrived.
+data Arrival a =
+  Arrival { arrivalValue :: a,
+            -- ^ the data we received with the event
+            arrivalTime :: Double,
+            -- ^ the simulation time at which the event has arrived
+            arrivalDelay :: Maybe Double
+            -- ^ the delay time which has passed from the time of
+            -- arriving the previous event
+          } deriving (Eq, Ord, Show)
diff --git a/Simulation/Aivika/Internal/Cont.hs b/Simulation/Aivika/Internal/Cont.hs
--- a/Simulation/Aivika/Internal/Cont.hs
+++ b/Simulation/Aivika/Internal/Cont.hs
@@ -1,712 +1,671 @@
-
--- |
--- Module     : Simulation.Aivika.Internal.Cont
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The 'Cont' monad is a variation of the standard Cont monad 
--- and F# async workflow, where the result of applying 
--- the continuations is the 'Event' computation.
---
-module Simulation.Aivika.Internal.Cont
-       (ContCancellation(..),
-        ContCancellationSource,
-        Cont(..),
-        ContParams,
-        newContCancellationSource,
-        contCancellationInitiated,
-        contCancellationInitiate,
-        contCancellationInitiating,
-        contCancellationBind,
-        contCancellationConnect,
-        invokeCont,
-        runCont,
-        rerunCont,
-        spawnCont,
-        contParallel,
-        contParallel_,
-        catchCont,
-        finallyCont,
-        throwCont,
-        resumeCont,
-        resumeECont,
-        contCanceled,
-        contFreeze,
-        contAwait) where
-
-import Data.IORef
-import Data.Array
-import Data.Array.IO.Safe
-import Data.Monoid
-
-import qualified Control.Exception as C
-import Control.Exception (IOException, throw)
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Applicative
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-
--- | It defines how the parent and child computations should be cancelled.
-data ContCancellation = CancelTogether
-                        -- ^ Cancel the both computations together.
-                      | CancelChildAfterParent
-                        -- ^ Cancel the child if its parent is cancelled.
-                      | CancelParentAfterChild
-                        -- ^ Cancel the parent if its child is cancelled.
-                      | CancelInIsolation
-                        -- ^ Cancel the computations in isolation.
-
--- | It manages the cancellation process.
-data ContCancellationSource =
-  ContCancellationSource { contCancellationInitiatedRef :: IORef Bool,
-                           contCancellationActivatedRef :: IORef Bool,
-                           contCancellationInitiatingSource :: SignalSource ()
-                         }
-
--- | Create the cancellation source.
-newContCancellationSource :: Simulation ContCancellationSource
-newContCancellationSource =
-  Simulation $ \r ->
-  do r1 <- newIORef False
-     r2 <- newIORef False
-     s  <- invokeSimulation r newSignalSource
-     return ContCancellationSource { contCancellationInitiatedRef = r1,
-                                     contCancellationActivatedRef = r2,
-                                     contCancellationInitiatingSource = s
-                                   }
-
--- | Signal when the cancellation is intiating.
-contCancellationInitiating :: ContCancellationSource -> Signal ()
-contCancellationInitiating =
-  publishSignal . contCancellationInitiatingSource
-
--- | Whether the cancellation was initiated.
-contCancellationInitiated :: ContCancellationSource -> Event Bool
-contCancellationInitiated x =
-  Event $ \p -> readIORef (contCancellationInitiatedRef x)
-
--- | Whether the cancellation was activated.
-contCancellationActivated :: ContCancellationSource -> IO Bool
-contCancellationActivated =
-  readIORef . contCancellationActivatedRef
-
--- | Deactivate the cancellation.
-contCancellationDeactivate :: ContCancellationSource -> IO ()
-contCancellationDeactivate x =
-  writeIORef (contCancellationActivatedRef x) False
-
--- | If the main computation is cancelled then all the nested ones will be cancelled too.
-contCancellationBind :: ContCancellationSource -> [ContCancellationSource] -> Event DisposableEvent
-contCancellationBind x ys =
-  Event $ \p ->
-  do hs1 <- forM ys $ \y ->
-       invokeEvent p $
-       handleSignal (contCancellationInitiating x) $ \_ ->
-       contCancellationInitiate y
-     hs2 <- forM ys $ \y ->
-       invokeEvent p $
-       handleSignal (contCancellationInitiating y) $ \_ ->
-       contCancellationInitiate x
-     return $ mconcat hs1 <> mconcat hs2
-
--- | Connect the parent computation to the child one.
-contCancellationConnect :: ContCancellationSource
-                           -- ^ the parent
-                           -> ContCancellation
-                           -- ^ how to connect
-                           -> ContCancellationSource
-                           -- ^ the child
-                           -> Event DisposableEvent
-                           -- ^ computation of the disposable handler
-contCancellationConnect parent cancellation child =
-  Event $ \p ->
-  do let m1 =
-           handleSignal (contCancellationInitiating parent) $ \_ ->
-           contCancellationInitiate child
-         m2 =
-           handleSignal (contCancellationInitiating child) $ \_ ->
-           contCancellationInitiate parent
-     h1 <- 
-       case cancellation of
-         CancelTogether -> invokeEvent p m1
-         CancelChildAfterParent -> invokeEvent p m1
-         CancelParentAfterChild -> return mempty
-         CancelInIsolation -> return mempty
-     h2 <-
-       case cancellation of
-         CancelTogether -> invokeEvent p m2
-         CancelChildAfterParent -> return mempty
-         CancelParentAfterChild -> invokeEvent p m2
-         CancelInIsolation -> return mempty
-     return $ h1 <> h2
-
--- | Initiate the cancellation.
-contCancellationInitiate :: ContCancellationSource -> Event ()
-contCancellationInitiate x =
-  Event $ \p ->
-  do f <- readIORef (contCancellationInitiatedRef x)
-     unless f $
-       do writeIORef (contCancellationInitiatedRef x) True
-          writeIORef (contCancellationActivatedRef x) True
-          invokeEvent p $ triggerSignal (contCancellationInitiatingSource x) ()
-
--- | The 'Cont' type is similar to the standard Cont monad 
--- and F# async workflow but only the result of applying
--- the continuations return the 'Event' computation.
-newtype Cont a = Cont (ContParams a -> Event ())
-
--- | The continuation parameters.
-data ContParams a = 
-  ContParams { contCont :: a -> Event (), 
-               contAux  :: ContParamsAux }
-
--- | The auxiliary continuation parameters.
-data ContParamsAux =
-  ContParamsAux { contECont :: IOException -> Event (),
-                  contCCont :: () -> Event (),
-                  contCancelSource :: ContCancellationSource,
-                  contCancelFlag :: IO Bool,
-                  contCatchFlag  :: Bool }
-
-instance Monad Cont where
-  return  = returnC
-  m >>= k = bindC m k
-
-instance ParameterLift Cont where
-  liftParameter = liftPC
-
-instance SimulationLift Cont where
-  liftSimulation = liftSC
-
-instance DynamicsLift Cont where
-  liftDynamics = liftDC
-
-instance EventLift Cont where
-  liftEvent = liftEC
-
-instance Functor Cont where
-  fmap = liftM
-
-instance Applicative Cont where
-  pure = return
-  (<*>) = ap
-
-instance MonadIO Cont where
-  liftIO = liftIOC 
-
--- | Invoke the computation.
-invokeCont :: ContParams a -> Cont a -> Event ()
-{-# INLINE invokeCont #-}
-invokeCont p (Cont m) = m p
-
--- | Cancel the computation.
-cancelCont :: Point -> ContParams a -> IO ()
-{-# NOINLINE cancelCont #-}
-cancelCont p c =
-  do contCancellationDeactivate (contCancelSource $ contAux c)
-     invokeEvent p $ (contCCont $ contAux c) ()
-
-returnC :: a -> Cont a
-{-# INLINE returnC #-}
-returnC a = 
-  Cont $ \c ->
-  Event $ \p ->
-  do z <- contCanceled c
-     if z 
-       then cancelCont p c
-       else invokeEvent p $ contCont c a
-                          
--- bindC :: Cont a -> (a -> Cont b) -> Cont b
--- {-# INLINE bindC #-}
--- bindC m k = 
---   Cont $ \c -> 
---   if (contCatchFlag . contAux $ c) 
---   then bindWithCatch m k c
---   else bindWithoutCatch m k c
-  
-bindC :: Cont a -> (a -> Cont b) -> Cont b
-{-# INLINE bindC #-}
-bindC m k = 
-  Cont $ bindWithoutCatch m k  -- Another version is not tail recursive!
-  
-bindWithoutCatch :: Cont a -> (a -> Cont b) -> ContParams b -> Event ()
-{-# INLINE bindWithoutCatch #-}
-bindWithoutCatch (Cont m) k c = 
-  Event $ \p ->
-  do z <- contCanceled c
-     if z 
-       then cancelCont p c
-       else invokeEvent p $ m $ 
-            let cont a = invokeCont c (k a)
-            in c { contCont = cont }
-
--- -- It is not tail recursive!
--- bindWithCatch :: Cont a -> (a -> Cont b) -> ContParams b -> Event ()
--- {-# NOINLINE bindWithCatch #-}
--- bindWithCatch (Cont m) k c = 
---   Event $ \p ->
---   do z <- contCanceled c
---      if z 
---        then cancelCont p c
---        else invokeEvent p $ m $ 
---             let cont a = catchEvent 
---                          (invokeCont c (k a))
---                          (contECont $ contAux c)
---             in c { contCont = cont }
-
--- Like "bindWithoutCatch (return a) k"
-callWithoutCatch :: (a -> Cont b) -> a -> ContParams b -> Event ()
-callWithoutCatch k a c =
-  Event $ \p ->
-  do z <- contCanceled c
-     if z 
-       then cancelCont p c
-       else invokeEvent p $ invokeCont c (k a)
-
--- -- Like "bindWithCatch (return a) k" but it is not tail recursive!
--- callWithCatch :: (a -> Cont b) -> a -> ContParams b -> Event ()
--- callWithCatch k a c =
---   Event $ \p ->
---   do z <- contCanceled c
---      if z 
---        then cancelCont p c
---        else invokeEvent p $ catchEvent 
---             (invokeCont c (k a))
---             (contECont $ contAux c)
-
--- | Exception handling within 'Cont' computations.
-catchCont :: Cont a -> (IOException -> Cont a) -> Cont a
-catchCont m h = 
-  Cont $ \c ->
-  catchWithCatch m h (c { contAux = (contAux c) { contCatchFlag = True } })
-  
-catchWithCatch :: Cont a -> (IOException -> Cont a) -> ContParams a -> Event ()
-catchWithCatch (Cont m) h c =
-  Event $ \p -> 
-  do z <- contCanceled c
-     if z 
-       then cancelCont p c
-       else invokeEvent p $ m $
-            -- let econt e = callWithCatch h e c   -- not tail recursive!
-            let econt e = callWithoutCatch h e c
-            in c { contAux = (contAux c) { contECont = econt } }
-               
--- | A computation with finalization part.
-finallyCont :: Cont a -> Cont b -> Cont a
-finallyCont m m' = 
-  Cont $ \c -> 
-  finallyWithCatch m m' (c { contAux = (contAux c) { contCatchFlag = True } })
-  
-finallyWithCatch :: Cont a -> Cont b -> ContParams a -> Event ()               
-finallyWithCatch (Cont m) (Cont m') c =
-  Event $ \p ->
-  do z <- contCanceled c
-     if z 
-       then cancelCont p c
-       else invokeEvent p $ m $
-            let cont a   = 
-                  Event $ \p ->
-                  invokeEvent p $ m' $
-                  let cont b = contCont c a
-                  in c { contCont = cont }
-                econt e  =
-                  Event $ \p ->
-                  invokeEvent p $ m' $
-                  let cont b = (contECont . contAux $ c) e
-                  in c { contCont = cont }
-                ccont () = 
-                  Event $ \p ->
-                  invokeEvent p $ m' $
-                  let cont b  = (contCCont . contAux $ c) ()
-                      econt e = (contCCont . contAux $ c) ()
-                  in c { contCont = cont,
-                         contAux  = (contAux c) { contECont = econt } }
-            in c { contCont = cont,
-                   contAux  = (contAux c) { contECont = econt,
-                                            contCCont = ccont } }
-
--- | Throw the exception with the further exception handling.
--- By some reasons, the standard 'throw' function per se is not handled 
--- properly within 'Cont' computations, altough it will be still handled 
--- if it will be hidden under the 'liftIO' function. The problem arises 
--- namely with the @throw@ function, not 'IO' computations.
-throwCont :: IOException -> Cont a
-throwCont e = liftIO $ throw e
-
--- | Run the 'Cont' computation with the specified cancelation source 
--- and flag indicating whether to catch exceptions from the beginning.
-runCont :: Cont a
-           -- ^ the computation to run
-           -> (a -> Event ())
-           -- ^ the main branch 
-           -> (IOError -> Event ())
-           -- ^ the branch for handing exceptions
-           -> (() -> Event ())
-           -- ^ the branch for cancellation
-           -> ContCancellationSource
-           -- ^ the cancellation source
-           -> Bool
-           -- ^ whether to support the exception handling from the beginning
-           -> Event ()
-runCont (Cont m) cont econt ccont cancelSource catchFlag = 
-  m ContParams { contCont = cont,
-                 contAux  = 
-                   ContParamsAux { contECont = econt,
-                                   contCCont = ccont,
-                                   contCancelSource = cancelSource,
-                                   contCancelFlag = contCancellationActivated cancelSource, 
-                                   contCatchFlag  = catchFlag } }
-
--- | Lift the 'Parameter' computation.
-liftPC :: Parameter a -> Cont a
-liftPC (Parameter m) = 
-  Cont $ \c ->
-  Event $ \p ->
-  if contCatchFlag . contAux $ c
-  then liftIOWithCatch (m $ pointRun p) p c
-  else liftIOWithoutCatch (m $ pointRun p) p c
-
--- | Lift the 'Simulation' computation.
-liftSC :: Simulation a -> Cont a
-liftSC (Simulation m) = 
-  Cont $ \c ->
-  Event $ \p ->
-  if contCatchFlag . contAux $ c
-  then liftIOWithCatch (m $ pointRun p) p c
-  else liftIOWithoutCatch (m $ pointRun p) p c
-     
--- | Lift the 'Dynamics' computation.
-liftDC :: Dynamics a -> Cont a
-liftDC (Dynamics m) =
-  Cont $ \c ->
-  Event $ \p ->
-  if contCatchFlag . contAux $ c
-  then liftIOWithCatch (m p) p c
-  else liftIOWithoutCatch (m p) p c
-     
--- | Lift the 'Event' computation.
-liftEC :: Event a -> Cont a
-liftEC (Event m) =
-  Cont $ \c ->
-  Event $ \p ->
-  if contCatchFlag . contAux $ c
-  then liftIOWithCatch (m p) p c
-  else liftIOWithoutCatch (m p) p c
-     
--- | Lift the IO computation.
-liftIOC :: IO a -> Cont a
-liftIOC m =
-  Cont $ \c ->
-  Event $ \p ->
-  if contCatchFlag . contAux $ c
-  then liftIOWithCatch m p c
-  else liftIOWithoutCatch m p c
-  
-liftIOWithoutCatch :: IO a -> Point -> ContParams a -> IO ()
-{-# INLINE liftIOWithoutCatch #-}
-liftIOWithoutCatch m p c =
-  do z <- contCanceled c
-     if z
-       then cancelCont p c
-       else do a <- m
-               invokeEvent p $ contCont c a
-
-liftIOWithCatch :: IO a -> Point -> ContParams a -> IO ()
-{-# NOINLINE liftIOWithCatch #-}
-liftIOWithCatch m p c =
-  do z <- contCanceled c
-     if z
-       then cancelCont p c
-       else do aref <- newIORef undefined
-               eref <- newIORef Nothing
-               C.catch (m >>= writeIORef aref) 
-                 (writeIORef eref . Just)
-               e <- readIORef eref
-               case e of
-                 Nothing -> 
-                   do a <- readIORef aref
-                      -- tail recursive
-                      invokeEvent p $ contCont c a
-                 Just e ->
-                   -- tail recursive
-                   invokeEvent p $ (contECont . contAux) c e
-
--- | Resume the computation by the specified parameters.
-resumeCont :: ContParams a -> a -> Event ()
-{-# INLINE resumeCont #-}
-resumeCont c a = 
-  Event $ \p ->
-  do z <- contCanceled c
-     if z
-       then cancelCont p c
-       else invokeEvent p $ contCont c a
-
--- | Resume the exception handling by the specified parameters.
-resumeECont :: ContParams a -> IOException -> Event ()
-{-# INLINE resumeECont #-}
-resumeECont c e = 
-  Event $ \p ->
-  do z <- contCanceled c
-     if z
-       then cancelCont p c
-       else invokeEvent p $ (contECont $ contAux c) e
-
--- | Test whether the computation is canceled.
-contCanceled :: ContParams a -> IO Bool
-{-# INLINE contCanceled #-}
-contCanceled c = contCancelFlag $ contAux c
-
--- | Execute the specified computations in parallel within
--- the current computation and return their results. The cancellation
--- of any of the nested computations affects the current computation.
--- The exception raised in any of the nested computations is propogated
--- to the current computation as well (if the exception handling is
--- supported).
---
--- Here word @parallel@ literally means that the computations are
--- actually executed on a single operating system thread but
--- they are processed simultaneously by the event queue.
-contParallel :: [(Cont a, ContCancellationSource)]
-                -- ^ the list of:
-                -- the nested computation,
-                -- the cancellation source
-                -> Cont [a]
-contParallel xs =
-  Cont $ \c ->
-  Event $ \p ->
-  do let n = length xs
-         worker =
-           do results   <- newArray_ (1, n) :: IO (IOArray Int a)
-              counter   <- newIORef 0
-              catchRef  <- newIORef Nothing
-              hs <- invokeEvent p $
-                    contCancellationBind (contCancelSource $ contAux c) $
-                    map snd xs
-              let propagate =
-                    Event $ \p ->
-                    do n' <- readIORef counter
-                       when (n' == n) $
-                         do invokeEvent p $ disposeEvent hs  -- unbind the cancellation sources
-                            f1 <- contCanceled c
-                            f2 <- readIORef catchRef
-                            case (f1, f2) of
-                              (False, Nothing) ->
-                                do rs <- getElems results
-                                   invokeEvent p $ resumeCont c rs
-                              (False, Just e) ->
-                                invokeEvent p $ resumeECont c e
-                              (True, _) ->
-                                cancelCont p c
-                  cont i a =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       writeArray results i a
-                       invokeEvent p propagate
-                  econt e =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       r <- readIORef catchRef
-                       case r of
-                         Nothing -> writeIORef catchRef $ Just e
-                         Just e' -> return ()  -- ignore the next error
-                       invokeEvent p propagate
-                  ccont e =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       -- the main computation was automatically canceled
-                       invokeEvent p propagate
-              forM_ (zip [1..n] xs) $ \(i, (x, cancelSource)) ->
-                invokeEvent p $
-                runCont x (cont i) econt ccont cancelSource (contCatchFlag $ contAux c)
-     z <- contCanceled c
-     if z
-       then cancelCont p c
-       else if n == 0
-            then invokeEvent p $ contCont c []
-            else worker
-
--- | A partial case of 'contParallel' when we are not interested in
--- the results but we are interested in the actions to be peformed by
--- the nested computations.
-contParallel_ :: [(Cont a, ContCancellationSource)]
-                 -- ^ the list of:
-                 -- the nested computation,
-                 -- the cancellation source
-                 -> Cont ()
-contParallel_ xs =
-  Cont $ \c ->
-  Event $ \p ->
-  do let n = length xs
-         worker =
-           do counter   <- newIORef 0
-              catchRef  <- newIORef Nothing
-              hs <- invokeEvent p $
-                    contCancellationBind (contCancelSource $ contAux c) $
-                    map snd xs
-              let propagate =
-                    Event $ \p ->
-                    do n' <- readIORef counter
-                       when (n' == n) $
-                         do invokeEvent p $ disposeEvent hs  -- unbind the cancellation sources
-                            f1 <- contCanceled c
-                            f2 <- readIORef catchRef
-                            case (f1, f2) of
-                              (False, Nothing) ->
-                                invokeEvent p $ resumeCont c ()
-                              (False, Just e) ->
-                                invokeEvent p $ resumeECont c e
-                              (True, _) ->
-                                cancelCont p c
-                  cont i a =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       -- ignore the result
-                       invokeEvent p propagate
-                  econt e =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       r <- readIORef catchRef
-                       case r of
-                         Nothing -> writeIORef catchRef $ Just e
-                         Just e' -> return ()  -- ignore the next error
-                       invokeEvent p propagate
-                  ccont e =
-                    Event $ \p ->
-                    do modifyIORef counter (+ 1)
-                       -- the main computation was automatically canceled
-                       invokeEvent p propagate
-              forM_ (zip [1..n] xs) $ \(i, (x, cancelSource)) ->
-                invokeEvent p $
-                runCont x (cont i) econt ccont cancelSource (contCatchFlag $ contAux c)
-     z <- contCanceled c
-     if z
-       then cancelCont p c
-       else if n == 0
-            then invokeEvent p $ contCont c ()
-            else worker
-
--- | Rerun the 'Cont' computation with the specified cancellation source.
-rerunCont :: Cont a -> ContCancellationSource -> Cont a
-rerunCont x cancelSource =
-  Cont $ \c ->
-  Event $ \p ->
-  do let worker =
-           do hs <- invokeEvent p $
-                    contCancellationBind (contCancelSource $ contAux c) [cancelSource]
-              let cont a  =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       invokeEvent p $ resumeCont c a
-                  econt e =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       invokeEvent p $ resumeECont c e
-                  ccont e =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       cancelCont p c
-              invokeEvent p $
-                runCont x cont econt ccont cancelSource (contCatchFlag $ contAux c)
-     z <- contCanceled c
-     if z
-       then cancelCont p c
-       else worker
-
--- | Run the 'Cont' computation in parallel but connect the cancellation sources.
-spawnCont :: ContCancellation -> Cont () -> ContCancellationSource -> Cont ()
-spawnCont cancellation x cancelSource =
-  Cont $ \c ->
-  Event $ \p ->
-  do let worker =
-           do hs <- invokeEvent p $
-                    contCancellationConnect
-                    (contCancelSource $ contAux c) cancellation cancelSource
-              let cont a  =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       -- do nothing and it will finish the computation
-                  econt e =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       invokeEvent p $ throwEvent e  -- this is all we can do
-                  ccont e =
-                    Event $ \p ->
-                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
-                       -- do nothing and it will finish the computation
-              invokeEvent p $
-                enqueueEvent (pointTime p) $
-                runCont x cont econt ccont cancelSource False
-              invokeEvent p $
-                resumeCont c ()
-     z <- contCanceled c
-     if z
-       then cancelCont p c
-       else worker
-
--- | Freeze the computation parameters temporarily.
-contFreeze :: ContParams a -> Event (Event (Maybe (ContParams a)))
-contFreeze c =
-  Event $ \p ->
-  do rh <- newIORef Nothing
-     rc <- newIORef $ Just c
-     h <- invokeEvent p $
-          handleSignal (contCancellationInitiating $
-                        contCancelSource $
-                        contAux c) $ \a ->
-          Event $ \p ->
-          do h <- readIORef rh
-             case h of
-               Nothing ->
-                 error "The handler was lost: contFreeze."
-               Just h ->
-                 do invokeEvent p $ disposeEvent h
-                    c <- readIORef rc
-                    case c of
-                      Nothing -> return ()
-                      Just c  ->
-                        do writeIORef rc Nothing
-                           invokeEvent p $
-                             enqueueEvent (pointTime p) $
-                             Event $ \p ->
-                             do z <- contCanceled c
-                                when z $ cancelCont p c
-     writeIORef rh (Just h)
-     return $
-       Event $ \p ->
-       do invokeEvent p $ disposeEvent h
-          c <- readIORef rc
-          writeIORef rc Nothing
-          return c
-     
--- | Await the signal.
-contAwait :: Signal a -> Cont a
-contAwait signal =
-  Cont $ \c ->
-  Event $ \p ->
-  do c <- invokeEvent p $ contFreeze c
-     r <- newIORef Nothing
-     h <- invokeEvent p $
-          handleSignal signal $ 
-          \a -> Event $ 
-                \p -> do x <- readIORef r
-                         case x of
-                           Nothing ->
-                             error "The signal was lost: contAwait."
-                           Just x ->
-                             do invokeEvent p $ disposeEvent x
-                                c <- invokeEvent p c
-                                case c of
-                                  Nothing -> return ()
-                                  Just c  ->
-                                    invokeEvent p $ resumeCont c a
-     writeIORef r $ Just h          
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Cont
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The 'Cont' monad is a variation of the standard Cont monad 
+-- and F# async workflow, where the result of applying 
+-- the continuations is the 'Event' computation.
+--
+module Simulation.Aivika.Internal.Cont
+       (ContCancellation(..),
+        ContCancellationSource,
+        Cont(..),
+        ContParams,
+        newContCancellationSource,
+        contCancellationInitiated,
+        contCancellationInitiate,
+        contCancellationInitiating,
+        contCancellationBind,
+        contCancellationConnect,
+        invokeCont,
+        runCont,
+        rerunCont,
+        spawnCont,
+        contParallel,
+        contParallel_,
+        catchCont,
+        finallyCont,
+        throwCont,
+        resumeCont,
+        resumeECont,
+        contCanceled,
+        contFreeze,
+        contAwait) where
+
+import Data.IORef
+import Data.Array
+import Data.Array.IO.Safe
+import Data.Monoid
+
+import Control.Exception
+import Control.Monad
+import Control.Monad.Trans
+import Control.Applicative
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+
+-- | It defines how the parent and child computations should be cancelled.
+data ContCancellation = CancelTogether
+                        -- ^ Cancel the both computations together.
+                      | CancelChildAfterParent
+                        -- ^ Cancel the child if its parent is cancelled.
+                      | CancelParentAfterChild
+                        -- ^ Cancel the parent if its child is cancelled.
+                      | CancelInIsolation
+                        -- ^ Cancel the computations in isolation.
+
+-- | It manages the cancellation process.
+data ContCancellationSource =
+  ContCancellationSource { contCancellationInitiatedRef :: IORef Bool,
+                           contCancellationActivatedRef :: IORef Bool,
+                           contCancellationInitiatingSource :: SignalSource ()
+                         }
+
+-- | Create the cancellation source.
+newContCancellationSource :: Simulation ContCancellationSource
+newContCancellationSource =
+  Simulation $ \r ->
+  do r1 <- newIORef False
+     r2 <- newIORef False
+     s  <- invokeSimulation r newSignalSource
+     return ContCancellationSource { contCancellationInitiatedRef = r1,
+                                     contCancellationActivatedRef = r2,
+                                     contCancellationInitiatingSource = s
+                                   }
+
+-- | Signal when the cancellation is intiating.
+contCancellationInitiating :: ContCancellationSource -> Signal ()
+contCancellationInitiating =
+  publishSignal . contCancellationInitiatingSource
+
+-- | Whether the cancellation was initiated.
+contCancellationInitiated :: ContCancellationSource -> Event Bool
+contCancellationInitiated x =
+  Event $ \p -> readIORef (contCancellationInitiatedRef x)
+
+-- | Whether the cancellation was activated.
+contCancellationActivated :: ContCancellationSource -> IO Bool
+contCancellationActivated =
+  readIORef . contCancellationActivatedRef
+
+-- | Deactivate the cancellation.
+contCancellationDeactivate :: ContCancellationSource -> IO ()
+contCancellationDeactivate x =
+  writeIORef (contCancellationActivatedRef x) False
+
+-- | If the main computation is cancelled then all the nested ones will be cancelled too.
+contCancellationBind :: ContCancellationSource -> [ContCancellationSource] -> Event DisposableEvent
+contCancellationBind x ys =
+  Event $ \p ->
+  do hs1 <- forM ys $ \y ->
+       invokeEvent p $
+       handleSignal (contCancellationInitiating x) $ \_ ->
+       contCancellationInitiate y
+     hs2 <- forM ys $ \y ->
+       invokeEvent p $
+       handleSignal (contCancellationInitiating y) $ \_ ->
+       contCancellationInitiate x
+     return $ mconcat hs1 <> mconcat hs2
+
+-- | Connect the parent computation to the child one.
+contCancellationConnect :: ContCancellationSource
+                           -- ^ the parent
+                           -> ContCancellation
+                           -- ^ how to connect
+                           -> ContCancellationSource
+                           -- ^ the child
+                           -> Event DisposableEvent
+                           -- ^ computation of the disposable handler
+contCancellationConnect parent cancellation child =
+  Event $ \p ->
+  do let m1 =
+           handleSignal (contCancellationInitiating parent) $ \_ ->
+           contCancellationInitiate child
+         m2 =
+           handleSignal (contCancellationInitiating child) $ \_ ->
+           contCancellationInitiate parent
+     h1 <- 
+       case cancellation of
+         CancelTogether -> invokeEvent p m1
+         CancelChildAfterParent -> invokeEvent p m1
+         CancelParentAfterChild -> return mempty
+         CancelInIsolation -> return mempty
+     h2 <-
+       case cancellation of
+         CancelTogether -> invokeEvent p m2
+         CancelChildAfterParent -> return mempty
+         CancelParentAfterChild -> invokeEvent p m2
+         CancelInIsolation -> return mempty
+     return $ h1 <> h2
+
+-- | Initiate the cancellation.
+contCancellationInitiate :: ContCancellationSource -> Event ()
+contCancellationInitiate x =
+  Event $ \p ->
+  do f <- readIORef (contCancellationInitiatedRef x)
+     unless f $
+       do writeIORef (contCancellationInitiatedRef x) True
+          writeIORef (contCancellationActivatedRef x) True
+          invokeEvent p $ triggerSignal (contCancellationInitiatingSource x) ()
+
+-- | The 'Cont' type is similar to the standard Cont monad 
+-- and F# async workflow but only the result of applying
+-- the continuations return the 'Event' computation.
+newtype Cont a = Cont (ContParams a -> Event ())
+
+-- | The continuation parameters.
+data ContParams a = 
+  ContParams { contCont :: a -> Event (), 
+               contAux  :: ContParamsAux }
+
+-- | The auxiliary continuation parameters.
+data ContParamsAux =
+  ContParamsAux { contECont :: SomeException -> Event (),
+                  contCCont :: () -> Event (),
+                  contCancelSource :: ContCancellationSource,
+                  contCancelFlag :: IO Bool,
+                  contCatchFlag  :: Bool }
+
+instance Monad Cont where
+  return  = returnC
+  m >>= k = bindC m k
+
+instance ParameterLift Cont where
+  liftParameter = liftPC
+
+instance SimulationLift Cont where
+  liftSimulation = liftSC
+
+instance DynamicsLift Cont where
+  liftDynamics = liftDC
+
+instance EventLift Cont where
+  liftEvent = liftEC
+
+instance Functor Cont where
+  fmap = liftM
+
+instance Applicative Cont where
+  pure = return
+  (<*>) = ap
+
+instance MonadIO Cont where
+  liftIO = liftIOC 
+
+-- | Invoke the computation.
+invokeCont :: ContParams a -> Cont a -> Event ()
+{-# INLINE invokeCont #-}
+invokeCont p (Cont m) = m p
+
+-- | Cancel the computation.
+cancelCont :: Point -> ContParams a -> IO ()
+{-# NOINLINE cancelCont #-}
+cancelCont p c =
+  do contCancellationDeactivate (contCancelSource $ contAux c)
+     invokeEvent p $ (contCCont $ contAux c) ()
+
+returnC :: a -> Cont a
+{-# INLINE returnC #-}
+returnC a = 
+  Cont $ \c ->
+  Event $ \p ->
+  do z <- contCanceled c
+     if z 
+       then cancelCont p c
+       else invokeEvent p $ contCont c a
+                          
+bindC :: Cont a -> (a -> Cont b) -> Cont b
+{-# INLINE bindC #-}
+bindC (Cont m) k =
+  Cont $ \c ->
+  Event $ \p ->
+  do z <- contCanceled c
+     if z 
+       then cancelCont p c
+       else invokeEvent p $ m $ 
+            let cont a = invokeCont c (k a)
+            in c { contCont = cont }
+
+-- | Like @return a >>= k@.
+callCont :: (a -> Cont b) -> a -> ContParams b -> Event ()
+callCont k a c =
+  Event $ \p ->
+  do z <- contCanceled c
+     if z 
+       then cancelCont p c
+       else invokeEvent p $ invokeCont c (k a)
+
+-- | Exception handling within 'Cont' computations.
+catchCont :: Exception e => Cont a -> (e -> Cont a) -> Cont a
+catchCont (Cont m) h = 
+  Cont $ \c0 ->
+  Event $ \p ->
+  do let c = c0 { contAux = (contAux c0) { contCatchFlag = True } }
+     z <- contCanceled c
+     if z 
+       then cancelCont p c
+       else invokeEvent p $ m $
+            let econt e0 =
+                  case fromException e0 of
+                    Just e  -> callCont h e c
+                    Nothing -> (contECont . contAux $ c) e0
+            in c { contAux = (contAux c) { contECont = econt } }
+               
+-- | A computation with finalization part.
+finallyCont :: Cont a -> Cont b -> Cont a
+finallyCont (Cont m) (Cont m') = 
+  Cont $ \c0 ->
+  Event $ \p ->
+  do let c = c0 { contAux = (contAux c0) { contCatchFlag = True } }
+     z <- contCanceled c
+     if z 
+       then cancelCont p c
+       else invokeEvent p $ m $
+            let cont a   = 
+                  Event $ \p ->
+                  invokeEvent p $ m' $
+                  let cont b = contCont c a
+                  in c { contCont = cont }
+                econt e  =
+                  Event $ \p ->
+                  invokeEvent p $ m' $
+                  let cont b = (contECont . contAux $ c) e
+                  in c { contCont = cont }
+                ccont () = 
+                  Event $ \p ->
+                  invokeEvent p $ m' $
+                  let cont b  = (contCCont . contAux $ c) ()
+                      econt e = (contCCont . contAux $ c) ()
+                  in c { contCont = cont,
+                         contAux  = (contAux c) { contECont = econt } }
+            in c { contCont = cont,
+                   contAux  = (contAux c) { contECont = econt,
+                                            contCCont = ccont } }
+
+-- | Throw the exception with the further exception handling.
+--
+-- By some reason, an exception raised with help of the standard 'throw' function
+-- is not handled properly within 'Cont' computation, altough it will be still handled 
+-- if it will be wrapped in the 'IO' monad. Therefore, you should use specialised
+-- functions like the stated one that use the 'throw' function but within the 'IO' computation,
+-- which allows already handling the exception.
+throwCont :: IOException -> Cont a
+throwCont = liftIO . throw
+
+-- | Run the 'Cont' computation with the specified cancelation source 
+-- and flag indicating whether to catch exceptions from the beginning.
+runCont :: Cont a
+           -- ^ the computation to run
+           -> (a -> Event ())
+           -- ^ the main branch 
+           -> (SomeException -> Event ())
+           -- ^ the branch for handing exceptions
+           -> (() -> Event ())
+           -- ^ the branch for cancellation
+           -> ContCancellationSource
+           -- ^ the cancellation source
+           -> Bool
+           -- ^ whether to support the exception handling from the beginning
+           -> Event ()
+runCont (Cont m) cont econt ccont cancelSource catchFlag = 
+  m ContParams { contCont = cont,
+                 contAux  = 
+                   ContParamsAux { contECont = econt,
+                                   contCCont = ccont,
+                                   contCancelSource = cancelSource,
+                                   contCancelFlag = contCancellationActivated cancelSource, 
+                                   contCatchFlag  = catchFlag } }
+
+-- | Lift the 'Parameter' computation.
+liftPC :: Parameter a -> Cont a
+liftPC (Parameter m) = 
+  Cont $ \c ->
+  Event $ \p ->
+  if contCatchFlag . contAux $ c
+  then liftIOWithCatch (m $ pointRun p) p c
+  else liftIOWithoutCatch (m $ pointRun p) p c
+
+-- | Lift the 'Simulation' computation.
+liftSC :: Simulation a -> Cont a
+liftSC (Simulation m) = 
+  Cont $ \c ->
+  Event $ \p ->
+  if contCatchFlag . contAux $ c
+  then liftIOWithCatch (m $ pointRun p) p c
+  else liftIOWithoutCatch (m $ pointRun p) p c
+     
+-- | Lift the 'Dynamics' computation.
+liftDC :: Dynamics a -> Cont a
+liftDC (Dynamics m) =
+  Cont $ \c ->
+  Event $ \p ->
+  if contCatchFlag . contAux $ c
+  then liftIOWithCatch (m p) p c
+  else liftIOWithoutCatch (m p) p c
+     
+-- | Lift the 'Event' computation.
+liftEC :: Event a -> Cont a
+liftEC (Event m) =
+  Cont $ \c ->
+  Event $ \p ->
+  if contCatchFlag . contAux $ c
+  then liftIOWithCatch (m p) p c
+  else liftIOWithoutCatch (m p) p c
+     
+-- | Lift the IO computation.
+liftIOC :: IO a -> Cont a
+liftIOC m =
+  Cont $ \c ->
+  Event $ \p ->
+  if contCatchFlag . contAux $ c
+  then liftIOWithCatch m p c
+  else liftIOWithoutCatch m p c
+  
+liftIOWithoutCatch :: IO a -> Point -> ContParams a -> IO ()
+{-# INLINE liftIOWithoutCatch #-}
+liftIOWithoutCatch m p c =
+  do z <- contCanceled c
+     if z
+       then cancelCont p c
+       else do a <- m
+               invokeEvent p $ contCont c a
+
+liftIOWithCatch :: IO a -> Point -> ContParams a -> IO ()
+{-# NOINLINE liftIOWithCatch #-}
+liftIOWithCatch m p c =
+  do z <- contCanceled c
+     if z
+       then cancelCont p c
+       else do aref <- newIORef undefined
+               eref <- newIORef Nothing
+               catch (m >>= writeIORef aref) 
+                 (writeIORef eref . Just)
+               e <- readIORef eref
+               case e of
+                 Nothing -> 
+                   do a <- readIORef aref
+                      -- tail recursive
+                      invokeEvent p $ contCont c a
+                 Just e ->
+                   -- tail recursive
+                   invokeEvent p $ (contECont . contAux) c e
+
+-- | Resume the computation by the specified parameters.
+resumeCont :: ContParams a -> a -> Event ()
+{-# INLINE resumeCont #-}
+resumeCont c a = 
+  Event $ \p ->
+  do z <- contCanceled c
+     if z
+       then cancelCont p c
+       else invokeEvent p $ contCont c a
+
+-- | Resume the exception handling by the specified parameters.
+resumeECont :: ContParams a -> SomeException -> Event ()
+{-# INLINE resumeECont #-}
+resumeECont c e = 
+  Event $ \p ->
+  do z <- contCanceled c
+     if z
+       then cancelCont p c
+       else invokeEvent p $ (contECont $ contAux c) e
+
+-- | Test whether the computation is canceled.
+contCanceled :: ContParams a -> IO Bool
+{-# INLINE contCanceled #-}
+contCanceled c = contCancelFlag $ contAux c
+
+-- | Execute the specified computations in parallel within
+-- the current computation and return their results. The cancellation
+-- of any of the nested computations affects the current computation.
+-- The exception raised in any of the nested computations is propogated
+-- to the current computation as well (if the exception handling is
+-- supported).
+--
+-- Here word @parallel@ literally means that the computations are
+-- actually executed on a single operating system thread but
+-- they are processed simultaneously by the event queue.
+contParallel :: [(Cont a, ContCancellationSource)]
+                -- ^ the list of:
+                -- the nested computation,
+                -- the cancellation source
+                -> Cont [a]
+contParallel xs =
+  Cont $ \c ->
+  Event $ \p ->
+  do let n = length xs
+         worker =
+           do results   <- newArray_ (1, n) :: IO (IOArray Int a)
+              counter   <- newIORef 0
+              catchRef  <- newIORef Nothing
+              hs <- invokeEvent p $
+                    contCancellationBind (contCancelSource $ contAux c) $
+                    map snd xs
+              let propagate =
+                    Event $ \p ->
+                    do n' <- readIORef counter
+                       when (n' == n) $
+                         do invokeEvent p $ disposeEvent hs  -- unbind the cancellation sources
+                            f1 <- contCanceled c
+                            f2 <- readIORef catchRef
+                            case (f1, f2) of
+                              (False, Nothing) ->
+                                do rs <- getElems results
+                                   invokeEvent p $ resumeCont c rs
+                              (False, Just e) ->
+                                invokeEvent p $ resumeECont c e
+                              (True, _) ->
+                                cancelCont p c
+                  cont i a =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       writeArray results i a
+                       invokeEvent p propagate
+                  econt e =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       r <- readIORef catchRef
+                       case r of
+                         Nothing -> writeIORef catchRef $ Just e
+                         Just e' -> return ()  -- ignore the next error
+                       invokeEvent p propagate
+                  ccont e =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       -- the main computation was automatically canceled
+                       invokeEvent p propagate
+              forM_ (zip [1..n] xs) $ \(i, (x, cancelSource)) ->
+                invokeEvent p $
+                runCont x (cont i) econt ccont cancelSource (contCatchFlag $ contAux c)
+     z <- contCanceled c
+     if z
+       then cancelCont p c
+       else if n == 0
+            then invokeEvent p $ contCont c []
+            else worker
+
+-- | A partial case of 'contParallel' when we are not interested in
+-- the results but we are interested in the actions to be peformed by
+-- the nested computations.
+contParallel_ :: [(Cont a, ContCancellationSource)]
+                 -- ^ the list of:
+                 -- the nested computation,
+                 -- the cancellation source
+                 -> Cont ()
+contParallel_ xs =
+  Cont $ \c ->
+  Event $ \p ->
+  do let n = length xs
+         worker =
+           do counter   <- newIORef 0
+              catchRef  <- newIORef Nothing
+              hs <- invokeEvent p $
+                    contCancellationBind (contCancelSource $ contAux c) $
+                    map snd xs
+              let propagate =
+                    Event $ \p ->
+                    do n' <- readIORef counter
+                       when (n' == n) $
+                         do invokeEvent p $ disposeEvent hs  -- unbind the cancellation sources
+                            f1 <- contCanceled c
+                            f2 <- readIORef catchRef
+                            case (f1, f2) of
+                              (False, Nothing) ->
+                                invokeEvent p $ resumeCont c ()
+                              (False, Just e) ->
+                                invokeEvent p $ resumeECont c e
+                              (True, _) ->
+                                cancelCont p c
+                  cont i a =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       -- ignore the result
+                       invokeEvent p propagate
+                  econt e =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       r <- readIORef catchRef
+                       case r of
+                         Nothing -> writeIORef catchRef $ Just e
+                         Just e' -> return ()  -- ignore the next error
+                       invokeEvent p propagate
+                  ccont e =
+                    Event $ \p ->
+                    do modifyIORef counter (+ 1)
+                       -- the main computation was automatically canceled
+                       invokeEvent p propagate
+              forM_ (zip [1..n] xs) $ \(i, (x, cancelSource)) ->
+                invokeEvent p $
+                runCont x (cont i) econt ccont cancelSource (contCatchFlag $ contAux c)
+     z <- contCanceled c
+     if z
+       then cancelCont p c
+       else if n == 0
+            then invokeEvent p $ contCont c ()
+            else worker
+
+-- | Rerun the 'Cont' computation with the specified cancellation source.
+rerunCont :: Cont a -> ContCancellationSource -> Cont a
+rerunCont x cancelSource =
+  Cont $ \c ->
+  Event $ \p ->
+  do let worker =
+           do hs <- invokeEvent p $
+                    contCancellationBind (contCancelSource $ contAux c) [cancelSource]
+              let cont a  =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       invokeEvent p $ resumeCont c a
+                  econt e =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       invokeEvent p $ resumeECont c e
+                  ccont e =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       cancelCont p c
+              invokeEvent p $
+                runCont x cont econt ccont cancelSource (contCatchFlag $ contAux c)
+     z <- contCanceled c
+     if z
+       then cancelCont p c
+       else worker
+
+-- | Run the 'Cont' computation in parallel but connect the cancellation sources.
+spawnCont :: ContCancellation -> Cont () -> ContCancellationSource -> Cont ()
+spawnCont cancellation x cancelSource =
+  Cont $ \c ->
+  Event $ \p ->
+  do let worker =
+           do hs <- invokeEvent p $
+                    contCancellationConnect
+                    (contCancelSource $ contAux c) cancellation cancelSource
+              let cont a  =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       -- do nothing and it will finish the computation
+                  econt e =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       invokeEvent p $ throwEvent e  -- this is all we can do
+                  ccont e =
+                    Event $ \p ->
+                    do invokeEvent p $ disposeEvent hs  -- unbind the cancellation source
+                       -- do nothing and it will finish the computation
+              invokeEvent p $
+                enqueueEvent (pointTime p) $
+                runCont x cont econt ccont cancelSource False
+              invokeEvent p $
+                resumeCont c ()
+     z <- contCanceled c
+     if z
+       then cancelCont p c
+       else worker
+
+-- | Freeze the computation parameters temporarily.
+contFreeze :: ContParams a -> Event (Event (Maybe (ContParams a)))
+contFreeze c =
+  Event $ \p ->
+  do rh <- newIORef Nothing
+     rc <- newIORef $ Just c
+     h <- invokeEvent p $
+          handleSignal (contCancellationInitiating $
+                        contCancelSource $
+                        contAux c) $ \a ->
+          Event $ \p ->
+          do h <- readIORef rh
+             case h of
+               Nothing ->
+                 error "The handler was lost: contFreeze."
+               Just h ->
+                 do invokeEvent p $ disposeEvent h
+                    c <- readIORef rc
+                    case c of
+                      Nothing -> return ()
+                      Just c  ->
+                        do writeIORef rc Nothing
+                           invokeEvent p $
+                             enqueueEvent (pointTime p) $
+                             Event $ \p ->
+                             do z <- contCanceled c
+                                when z $ cancelCont p c
+     writeIORef rh (Just h)
+     return $
+       Event $ \p ->
+       do invokeEvent p $ disposeEvent h
+          c <- readIORef rc
+          writeIORef rc Nothing
+          return c
+     
+-- | Await the signal.
+contAwait :: Signal a -> Cont a
+contAwait signal =
+  Cont $ \c ->
+  Event $ \p ->
+  do c <- invokeEvent p $ contFreeze c
+     r <- newIORef Nothing
+     h <- invokeEvent p $
+          handleSignal signal $ 
+          \a -> Event $ 
+                \p -> do x <- readIORef r
+                         case x of
+                           Nothing ->
+                             error "The signal was lost: contAwait."
+                           Just x ->
+                             do invokeEvent p $ disposeEvent x
+                                c <- invokeEvent p c
+                                case c of
+                                  Nothing -> return ()
+                                  Just c  ->
+                                    invokeEvent p $ resumeCont c a
+     writeIORef r $ Just h          
diff --git a/Simulation/Aivika/Internal/Dynamics.hs b/Simulation/Aivika/Internal/Dynamics.hs
--- a/Simulation/Aivika/Internal/Dynamics.hs
+++ b/Simulation/Aivika/Internal/Dynamics.hs
@@ -1,216 +1,214 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
--- |
--- Module     : Simulation.Aivika.Internal.Dynamics
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines the 'Dynamics' monad representing a time varying polymorphic function. 
---
-module Simulation.Aivika.Internal.Dynamics
-       (-- * Dynamics
-        Dynamics(..),
-        DynamicsLift(..),
-        invokeDynamics,
-        runDynamicsInStartTime,
-        runDynamicsInStopTime,
-        runDynamicsInIntegTimes,
-        runDynamicsInTime,
-        runDynamicsInTimes,
-        -- * Error Handling
-        catchDynamics,
-        finallyDynamics,
-        throwDynamics,
-        -- * Simulation Time
-        time,
-        isTimeInteg,
-        integIteration,
-        integPhase) where
-
-import qualified Control.Exception as C
-import Control.Exception (IOException, throw, finally)
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Monad.Fix
-import Control.Applicative
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-
--- | A value in the 'Dynamics' monad represents a polymorphic time varying function.
-newtype Dynamics a = Dynamics (Point -> IO a)
-
-instance Monad Dynamics where
-  return  = returnD
-  m >>= k = bindD m k
-
-returnD :: a -> Dynamics a
-{-# INLINE returnD #-}
-returnD a = Dynamics (\p -> return a)
-
-bindD :: Dynamics a -> (a -> Dynamics b) -> Dynamics b
-{-# INLINE bindD #-}
-bindD (Dynamics m) k = 
-  Dynamics $ \p -> 
-  do a <- m p
-     let Dynamics m' = k a
-     m' p
-
--- | Run the 'Dynamics' computation in the initial time point.
-runDynamicsInStartTime :: Dynamics a -> Simulation a
-runDynamicsInStartTime (Dynamics m) =
-  Simulation $ m . integStartPoint
-
--- | Run the 'Dynamics' computation in the final time point.
-runDynamicsInStopTime :: Dynamics a -> Simulation a
-runDynamicsInStopTime (Dynamics m) =
-  Simulation $ m . integStopPoint
-
--- | Run the 'Dynamics' computation in all integration time points.
-runDynamicsInIntegTimes :: Dynamics a -> Simulation [IO a]
-runDynamicsInIntegTimes (Dynamics m) =
-  Simulation $ return . map m . integPoints
-
--- | Run the 'Dynamics' computation in the specified time point.
-runDynamicsInTime :: Double -> Dynamics a -> Simulation a
-runDynamicsInTime t (Dynamics m) =
-  Simulation $ \r -> m $ pointAt r t
-
--- | Run the 'Dynamics' computation in the specified time points.
-runDynamicsInTimes :: [Double] -> Dynamics a -> Simulation [IO a]
-runDynamicsInTimes ts (Dynamics m) =
-  Simulation $ \r -> return $ map (m . pointAt r) ts 
-
-instance Functor Dynamics where
-  fmap = liftMD
-
-instance Applicative Dynamics where
-  pure = return
-  (<*>) = ap
-
-instance Eq (Dynamics a) where
-  x == y = error "Can't compare dynamics." 
-
-instance Show (Dynamics a) where
-  showsPrec _ x = showString "<< Dynamics >>"
-
-liftMD :: (a -> b) -> Dynamics a -> Dynamics b
-{-# INLINE liftMD #-}
-liftMD f (Dynamics x) =
-  Dynamics $ \p -> do { a <- x p; return $ f a }
-
-liftM2D :: (a -> b -> c) -> Dynamics a -> Dynamics b -> Dynamics c
-{-# INLINE liftM2D #-}
-liftM2D f (Dynamics x) (Dynamics y) =
-  Dynamics $ \p -> do { a <- x p; b <- y p; return $ f a b }
-
-instance (Num a) => Num (Dynamics a) where
-  x + y = liftM2D (+) x y
-  x - y = liftM2D (-) x y
-  x * y = liftM2D (*) x y
-  negate = liftMD negate
-  abs = liftMD abs
-  signum = liftMD signum
-  fromInteger i = return $ fromInteger i
-
-instance (Fractional a) => Fractional (Dynamics a) where
-  x / y = liftM2D (/) x y
-  recip = liftMD recip
-  fromRational t = return $ fromRational t
-
-instance (Floating a) => Floating (Dynamics a) where
-  pi = return pi
-  exp = liftMD exp
-  log = liftMD log
-  sqrt = liftMD sqrt
-  x ** y = liftM2D (**) x y
-  sin = liftMD sin
-  cos = liftMD cos
-  tan = liftMD tan
-  asin = liftMD asin
-  acos = liftMD acos
-  atan = liftMD atan
-  sinh = liftMD sinh
-  cosh = liftMD cosh
-  tanh = liftMD tanh
-  asinh = liftMD asinh
-  acosh = liftMD acosh
-  atanh = liftMD atanh
-
-instance MonadIO Dynamics where
-  liftIO m = Dynamics $ const m
-
-instance ParameterLift Dynamics where
-  liftParameter = liftDP
-
-instance SimulationLift Dynamics where
-  liftSimulation = liftDS
-    
-liftDP :: Parameter a -> Dynamics a
-{-# INLINE liftDP #-}
-liftDP (Parameter m) =
-  Dynamics $ \p -> m $ pointRun p
-    
-liftDS :: Simulation a -> Dynamics a
-{-# INLINE liftDS #-}
-liftDS (Simulation m) =
-  Dynamics $ \p -> m $ pointRun p
-
--- | A type class to lift the 'Dynamics' computations to other computations.
-class DynamicsLift m where
-  
-  -- | Lift the specified 'Dynamics' computation to another computation.
-  liftDynamics :: Dynamics a -> m a
-
-instance DynamicsLift Dynamics where
-  liftDynamics = id
-  
--- | Exception handling within 'Dynamics' computations.
-catchDynamics :: Dynamics a -> (IOException -> Dynamics a) -> Dynamics a
-catchDynamics (Dynamics m) h =
-  Dynamics $ \p -> 
-  C.catch (m p) $ \e ->
-  let Dynamics m' = h e in m' p
-                           
--- | A computation with finalization part like the 'finally' function.
-finallyDynamics :: Dynamics a -> Dynamics b -> Dynamics a
-finallyDynamics (Dynamics m) (Dynamics m') =
-  Dynamics $ \p ->
-  C.finally (m p) (m' p)
-
--- | Like the standard 'throw' function.
-throwDynamics :: IOException -> Dynamics a
-throwDynamics = throw
-
--- | Invoke the 'Dynamics' computation.
-invokeDynamics :: Point -> Dynamics a -> IO a
-{-# INLINE invokeDynamics #-}
-invokeDynamics p (Dynamics m) = m p
-
-instance MonadFix Dynamics where
-  mfix f = 
-    Dynamics $ \p ->
-    do { rec { a <- invokeDynamics p (f a) }; return a }
-
--- | Computation that returns the current simulation time.
-time :: Dynamics Double
-time = Dynamics $ return . pointTime 
-
--- | Whether the current time is an integration time.
-isTimeInteg :: Dynamics Bool
-isTimeInteg = Dynamics $ \p -> return $ pointPhase p >= 0
-
--- | Return the integration iteration closest to the current simulation time.
-integIteration :: Dynamics Int
-integIteration = Dynamics $ return . pointIteration
-
--- | Return the integration phase for the current simulation time.
--- It is @(-1)@ for non-integration time points.
-integPhase :: Dynamics Int
-integPhase = Dynamics $ return . pointPhase
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Dynamics
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Dynamics' monad representing a time varying polymorphic function. 
+--
+module Simulation.Aivika.Internal.Dynamics
+       (-- * Dynamics
+        Dynamics(..),
+        DynamicsLift(..),
+        invokeDynamics,
+        runDynamicsInStartTime,
+        runDynamicsInStopTime,
+        runDynamicsInIntegTimes,
+        runDynamicsInTime,
+        runDynamicsInTimes,
+        -- * Error Handling
+        catchDynamics,
+        finallyDynamics,
+        throwDynamics,
+        -- * Simulation Time
+        time,
+        isTimeInteg,
+        integIteration,
+        integPhase) where
+
+import Control.Exception
+import Control.Monad
+import Control.Monad.Trans
+import Control.Monad.Fix
+import Control.Applicative
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+
+-- | A value in the 'Dynamics' monad represents a polymorphic time varying function.
+newtype Dynamics a = Dynamics (Point -> IO a)
+
+instance Monad Dynamics where
+  return  = returnD
+  m >>= k = bindD m k
+
+returnD :: a -> Dynamics a
+{-# INLINE returnD #-}
+returnD a = Dynamics (\p -> return a)
+
+bindD :: Dynamics a -> (a -> Dynamics b) -> Dynamics b
+{-# INLINE bindD #-}
+bindD (Dynamics m) k = 
+  Dynamics $ \p -> 
+  do a <- m p
+     let Dynamics m' = k a
+     m' p
+
+-- | Run the 'Dynamics' computation in the initial time point.
+runDynamicsInStartTime :: Dynamics a -> Simulation a
+runDynamicsInStartTime (Dynamics m) =
+  Simulation $ m . integStartPoint
+
+-- | Run the 'Dynamics' computation in the final time point.
+runDynamicsInStopTime :: Dynamics a -> Simulation a
+runDynamicsInStopTime (Dynamics m) =
+  Simulation $ m . integStopPoint
+
+-- | Run the 'Dynamics' computation in all integration time points.
+runDynamicsInIntegTimes :: Dynamics a -> Simulation [IO a]
+runDynamicsInIntegTimes (Dynamics m) =
+  Simulation $ return . map m . integPoints
+
+-- | Run the 'Dynamics' computation in the specified time point.
+runDynamicsInTime :: Double -> Dynamics a -> Simulation a
+runDynamicsInTime t (Dynamics m) =
+  Simulation $ \r -> m $ pointAt r t
+
+-- | Run the 'Dynamics' computation in the specified time points.
+runDynamicsInTimes :: [Double] -> Dynamics a -> Simulation [IO a]
+runDynamicsInTimes ts (Dynamics m) =
+  Simulation $ \r -> return $ map (m . pointAt r) ts 
+
+instance Functor Dynamics where
+  fmap = liftMD
+
+instance Applicative Dynamics where
+  pure = return
+  (<*>) = ap
+
+instance Eq (Dynamics a) where
+  x == y = error "Can't compare dynamics." 
+
+instance Show (Dynamics a) where
+  showsPrec _ x = showString "<< Dynamics >>"
+
+liftMD :: (a -> b) -> Dynamics a -> Dynamics b
+{-# INLINE liftMD #-}
+liftMD f (Dynamics x) =
+  Dynamics $ \p -> do { a <- x p; return $ f a }
+
+liftM2D :: (a -> b -> c) -> Dynamics a -> Dynamics b -> Dynamics c
+{-# INLINE liftM2D #-}
+liftM2D f (Dynamics x) (Dynamics y) =
+  Dynamics $ \p -> do { a <- x p; b <- y p; return $ f a b }
+
+instance (Num a) => Num (Dynamics a) where
+  x + y = liftM2D (+) x y
+  x - y = liftM2D (-) x y
+  x * y = liftM2D (*) x y
+  negate = liftMD negate
+  abs = liftMD abs
+  signum = liftMD signum
+  fromInteger i = return $ fromInteger i
+
+instance (Fractional a) => Fractional (Dynamics a) where
+  x / y = liftM2D (/) x y
+  recip = liftMD recip
+  fromRational t = return $ fromRational t
+
+instance (Floating a) => Floating (Dynamics a) where
+  pi = return pi
+  exp = liftMD exp
+  log = liftMD log
+  sqrt = liftMD sqrt
+  x ** y = liftM2D (**) x y
+  sin = liftMD sin
+  cos = liftMD cos
+  tan = liftMD tan
+  asin = liftMD asin
+  acos = liftMD acos
+  atan = liftMD atan
+  sinh = liftMD sinh
+  cosh = liftMD cosh
+  tanh = liftMD tanh
+  asinh = liftMD asinh
+  acosh = liftMD acosh
+  atanh = liftMD atanh
+
+instance MonadIO Dynamics where
+  liftIO m = Dynamics $ const m
+
+instance ParameterLift Dynamics where
+  liftParameter = liftDP
+
+instance SimulationLift Dynamics where
+  liftSimulation = liftDS
+    
+liftDP :: Parameter a -> Dynamics a
+{-# INLINE liftDP #-}
+liftDP (Parameter m) =
+  Dynamics $ \p -> m $ pointRun p
+    
+liftDS :: Simulation a -> Dynamics a
+{-# INLINE liftDS #-}
+liftDS (Simulation m) =
+  Dynamics $ \p -> m $ pointRun p
+
+-- | A type class to lift the 'Dynamics' computations to other computations.
+class DynamicsLift m where
+  
+  -- | Lift the specified 'Dynamics' computation to another computation.
+  liftDynamics :: Dynamics a -> m a
+
+instance DynamicsLift Dynamics where
+  liftDynamics = id
+  
+-- | Exception handling within 'Dynamics' computations.
+catchDynamics :: Exception e => Dynamics a -> (e -> Dynamics a) -> Dynamics a
+catchDynamics (Dynamics m) h =
+  Dynamics $ \p -> 
+  catch (m p) $ \e ->
+  let Dynamics m' = h e in m' p
+                           
+-- | A computation with finalization part like the 'finally' function.
+finallyDynamics :: Dynamics a -> Dynamics b -> Dynamics a
+finallyDynamics (Dynamics m) (Dynamics m') =
+  Dynamics $ \p ->
+  finally (m p) (m' p)
+
+-- | Like the standard 'throw' function.
+throwDynamics :: Exception e => e -> Dynamics a
+throwDynamics = throw
+
+-- | Invoke the 'Dynamics' computation.
+invokeDynamics :: Point -> Dynamics a -> IO a
+{-# INLINE invokeDynamics #-}
+invokeDynamics p (Dynamics m) = m p
+
+instance MonadFix Dynamics where
+  mfix f = 
+    Dynamics $ \p ->
+    do { rec { a <- invokeDynamics p (f a) }; return a }
+
+-- | Computation that returns the current simulation time.
+time :: Dynamics Double
+time = Dynamics $ return . pointTime 
+
+-- | Whether the current time is an integration time.
+isTimeInteg :: Dynamics Bool
+isTimeInteg = Dynamics $ \p -> return $ pointPhase p >= 0
+
+-- | Return the integration iteration closest to the current simulation time.
+integIteration :: Dynamics Int
+integIteration = Dynamics $ return . pointIteration
+
+-- | Return the integration phase for the current simulation time.
+-- It is @(-1)@ for non-integration time points.
+integPhase :: Dynamics Int
+integPhase = Dynamics $ return . pointPhase
diff --git a/Simulation/Aivika/Internal/Event.hs b/Simulation/Aivika/Internal/Event.hs
--- a/Simulation/Aivika/Internal/Event.hs
+++ b/Simulation/Aivika/Internal/Event.hs
@@ -1,411 +1,409 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
--- |
--- Module     : Simulation.Aivika.Internal.Event
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines the 'Event' monad which is very similar to the 'Dynamics'
--- monad but only now the computation is strongly synchronized with the event queue.
---
-module Simulation.Aivika.Internal.Event
-       (-- * Event Monad
-        Event(..),
-        EventLift(..),
-        EventProcessing(..),
-        invokeEvent,
-        runEvent,
-        runEventWith,
-        runEventInStartTime,
-        runEventInStopTime,
-        -- * Event Queue
-        enqueueEvent,
-        enqueueEventWithCancellation,
-        enqueueEventWithTimes,
-        enqueueEventWithPoints,
-        enqueueEventWithIntegTimes,
-        yieldEvent,
-        eventQueueCount,
-        -- * Cancelling Event
-        EventCancellation,
-        cancelEvent,
-        eventCancelled,
-        eventFinished,
-        -- * Error Handling
-        catchEvent,
-        finallyEvent,
-        throwEvent,
-        -- * Memoization
-        memoEvent,
-        memoEventInTime,
-        -- * Disposable
-        DisposableEvent(..)) where
-
-import Data.IORef
-import Data.Monoid
-
-import qualified Control.Exception as C
-import Control.Exception (IOException, throw, finally)
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Monad.Fix
-import Control.Applicative
-
-import qualified Simulation.Aivika.PriorityQueue as PQ
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-
--- | A value in the 'Event' monad represents a polymorphic time varying function
--- which is strongly synchronized with the event queue.
-newtype Event a = Event (Point -> IO a)
-
-instance Monad Event where
-  return  = returnE
-  m >>= k = bindE m k
-
-returnE :: a -> Event a
-{-# INLINE returnE #-}
-returnE a = Event (\p -> return a)
-
-bindE :: Event a -> (a -> Event b) -> Event b
-{-# INLINE bindE #-}
-bindE (Event m) k = 
-  Event $ \p -> 
-  do a <- m p
-     let Event m' = k a
-     m' p
-
-instance Functor Event where
-  fmap = liftME
-
-instance Applicative Event where
-  pure = return
-  (<*>) = ap
-
-liftME :: (a -> b) -> Event a -> Event b
-{-# INLINE liftME #-}
-liftME f (Event x) =
-  Event $ \p -> do { a <- x p; return $ f a }
-
-instance MonadIO Event where
-  liftIO m = Event $ const m
-
-instance ParameterLift Event where
-  liftParameter = liftPS
-
-instance SimulationLift Event where
-  liftSimulation = liftES
-
-instance DynamicsLift Event where
-  liftDynamics = liftDS
-    
-liftPS :: Parameter a -> Event a
-{-# INLINE liftPS #-}
-liftPS (Parameter m) =
-  Event $ \p -> m $ pointRun p
-    
-liftES :: Simulation a -> Event a
-{-# INLINE liftES #-}
-liftES (Simulation m) =
-  Event $ \p -> m $ pointRun p
-
-liftDS :: Dynamics a -> Event a
-{-# INLINE liftDS #-}
-liftDS (Dynamics m) =
-  Event m
-
--- | A type class to lift the 'Event' computation to other computations.
-class EventLift m where
-  
-  -- | Lift the specified 'Event' computation to another computation.
-  liftEvent :: Event a -> m a
-
-instance EventLift Event where
-  liftEvent = id
-  
--- | Exception handling within 'Event' computations.
-catchEvent :: Event a -> (IOException -> Event a) -> Event a
-catchEvent (Event m) h =
-  Event $ \p -> 
-  C.catch (m p) $ \e ->
-  let Event m' = h e in m' p
-                           
--- | A computation with finalization part like the 'finally' function.
-finallyEvent :: Event a -> Event b -> Event a
-finallyEvent (Event m) (Event m') =
-  Event $ \p ->
-  C.finally (m p) (m' p)
-
--- | Like the standard 'throw' function.
-throwEvent :: IOException -> Event a
-throwEvent = throw
-
--- | Invoke the 'Event' computation.
-invokeEvent :: Point -> Event a -> IO a
-{-# INLINE invokeEvent #-}
-invokeEvent p (Event m) = m p
-
-instance MonadFix Event where
-  mfix f = 
-    Event $ \p ->
-    do { rec { a <- invokeEvent p (f a) }; return a }
-
--- | Defines how the events are processed.
-data EventProcessing = CurrentEvents
-                       -- ^ either process all earlier and then current events,
-                       -- or raise an error if the current simulation time is less
-                       -- than the actual time of the event queue (safe within
-                       -- the 'Event' computation as this is protected by the type system)
-                     | EarlierEvents
-                       -- ^ either process all earlier events not affecting
-                       -- the events at the current simulation time,
-                       -- or raise an error if the current simulation time is less
-                       -- than the actual time of the event queue (safe within
-                       -- the 'Event' computation as this is protected by the type system)
-                     | CurrentEventsOrFromPast
-                       -- ^ either process all earlier and then current events,
-                       -- or do nothing if the current simulation time is less
-                       -- than the actual time of the event queue
-                       -- (do not use unless the documentation states the opposite)
-                     | EarlierEventsOrFromPast
-                       -- ^ either process all earlier events,
-                       -- or do nothing if the current simulation time is less
-                       -- than the actual time of the event queue
-                       -- (do not use unless the documentation states the opposite)
-                     deriving (Eq, Ord, Show)
-
--- | Enqueue the event which must be actuated at the specified time.
---
--- The events are processed when calling the 'runEvent' function. So,
--- if you want to insist on their immediate execution then you can apply
--- something like
---
--- @
---   liftDynamics $ runEvent IncludingCurrentEvents $ return ()
--- @
---
--- although this is generally not good idea.  
-enqueueEvent :: Double -> Event () -> Event ()
-enqueueEvent t (Event m) =
-  Event $ \p ->
-  let pq = queuePQ $ runEventQueue $ pointRun p
-  in PQ.enqueue pq t m
-
--- | Process the pending events.
-processPendingEventsCore :: Bool -> Dynamics ()
-processPendingEventsCore includingCurrentEvents = Dynamics r where
-  r p =
-    do let q = runEventQueue $ pointRun p
-           f = queueBusy q
-       f' <- readIORef f
-       unless f' $
-         do writeIORef f True
-            call q p
-            writeIORef f False
-  call q p =
-    do let pq = queuePQ q
-           r  = pointRun p
-       f <- PQ.queueNull pq
-       unless f $
-         do (t2, c2) <- PQ.queueFront pq
-            let t = queueTime q
-            t' <- readIORef t
-            when (t2 < t') $ 
-              error "The time value is too small: processPendingEventsCore"
-            when ((t2 < pointTime p) ||
-                  (includingCurrentEvents && (t2 == pointTime p))) $
-              do writeIORef t t2
-                 PQ.dequeue pq
-                 let sc = pointSpecs p
-                     t0 = spcStartTime sc
-                     dt = spcDT sc
-                     n2 = fromIntegral $ floor ((t2 - t0) / dt)
-                 c2 $ p { pointTime = t2,
-                          pointIteration = n2,
-                          pointPhase = -1 }
-                 call q p
-
--- | Process the pending events synchronously, i.e. without past.
-processPendingEvents :: Bool -> Dynamics ()
-processPendingEvents includingCurrentEvents = Dynamics r where
-  r p =
-    do let q = runEventQueue $ pointRun p
-           t = queueTime q
-       t' <- readIORef t
-       if pointTime p < t'
-         then error $
-              "The current time is less than " ++
-              "the time in the queue: processPendingEvents"
-         else invokeDynamics p m
-  m = processPendingEventsCore includingCurrentEvents
-
--- | A memoized value.
-processEventsIncludingCurrent = processPendingEvents True
-
--- | A memoized value.
-processEventsIncludingEarlier = processPendingEvents False
-
--- | A memoized value.
-processEventsIncludingCurrentCore = processPendingEventsCore True
-
--- | A memoized value.
-processEventsIncludingEarlierCore = processPendingEventsCore True
-
--- | Process the events.
-processEvents :: EventProcessing -> Dynamics ()
-processEvents CurrentEvents = processEventsIncludingCurrent
-processEvents EarlierEvents = processEventsIncludingEarlier
-processEvents CurrentEventsOrFromPast = processEventsIncludingCurrentCore
-processEvents EarlierEventsOrFromPast = processEventsIncludingEarlierCore
-
--- | Run the 'Event' computation in the current simulation time
--- within the 'Dynamics' computation involving all pending
--- 'CurrentEvents' in the processing too.
-runEvent :: Event a -> Dynamics a
-runEvent = runEventWith CurrentEvents
-
--- | Run the 'Event' computation in the current simulation time
--- within the 'Dynamics' computation specifying what pending events 
--- should be involved in the processing.
-runEventWith :: EventProcessing -> Event a -> Dynamics a
-runEventWith processing (Event e) =
-  Dynamics $ \p ->
-  do invokeDynamics p $ processEvents processing
-     e p
-
--- | Run the 'Event' computation in the start time involving all
--- pending 'CurrentEvents' in the processing too.
-runEventInStartTime :: Event a -> Simulation a
-runEventInStartTime = runDynamicsInStartTime . runEvent
-
--- | Run the 'Event' computation in the stop time involving all
--- pending 'CurrentEvents' in the processing too.
-runEventInStopTime :: Event a -> Simulation a
-runEventInStopTime = runDynamicsInStopTime . runEvent
-
--- | Return the number of pending events that should
--- be yet actuated.
-eventQueueCount :: Event Int
-eventQueueCount =
-  Event $ PQ.queueCount . queuePQ . runEventQueue . pointRun
-
--- | Actuate the event handler in the specified time points.
-enqueueEventWithTimes :: [Double] -> Event () -> Event ()
-enqueueEventWithTimes ts e = loop ts
-  where loop []       = return ()
-        loop (t : ts) = enqueueEvent t $ e >> loop ts
-       
--- | Actuate the event handler in the specified time points.
-enqueueEventWithPoints :: [Point] -> Event () -> Event ()
-enqueueEventWithPoints xs (Event e) = loop xs
-  where loop []       = return ()
-        loop (x : xs) = enqueueEvent (pointTime x) $ 
-                        Event $ \p ->
-                        do e x    -- N.B. we substitute the time point!
-                           invokeEvent p $ loop xs
-                           
--- | Actuate the event handler in the integration time points.
-enqueueEventWithIntegTimes :: Event () -> Event ()
-enqueueEventWithIntegTimes e =
-  Event $ \p ->
-  let points = integPoints $ pointRun p
-  in invokeEvent p $ enqueueEventWithPoints points e
-
--- | It allows cancelling the event.
-data EventCancellation =
-  EventCancellation { cancelEvent   :: Event (),
-                      -- ^ Cancel the event.
-                      eventCancelled :: Event Bool,
-                      -- ^ Test whether the event was cancelled.
-                      eventFinished :: Event Bool
-                      -- ^ Test whether the event was processed and finished.
-                    }
-
--- | Enqueue the event with an ability to cancel it.
-enqueueEventWithCancellation :: Double -> Event () -> Event EventCancellation
-enqueueEventWithCancellation t e =
-  Event $ \p ->
-  do cancelledRef <- newIORef False
-     cancellableRef <- newIORef True
-     finishedRef <- newIORef False
-     let cancel =
-           Event $ \p ->
-           do x <- readIORef cancellableRef
-              when x $
-                writeIORef cancelledRef True
-         cancelled =
-           Event $ \p -> readIORef cancelledRef
-         finished =
-           Event $ \p -> readIORef finishedRef
-     invokeEvent p $
-       enqueueEvent t $
-       Event $ \p ->
-       do writeIORef cancellableRef False
-          x <- readIORef cancelledRef
-          unless x $
-            do invokeEvent p e
-               writeIORef finishedRef True
-     return EventCancellation { cancelEvent   = cancel,
-                                eventCancelled = cancelled,
-                                eventFinished = finished }
-
--- | Memoize the 'Event' computation, always returning the same value
--- within a simulation run.
-memoEvent :: Event a -> Simulation (Event a)
-memoEvent m =
-  do ref <- liftIO $ newIORef Nothing
-     return $ Event $ \p ->
-       do x <- readIORef ref
-          case x of
-            Just v -> return v
-            Nothing ->
-              do v <- invokeEvent p m
-                 writeIORef ref (Just v)
-                 return v
-
--- | Memoize the 'Event' computation, always returning the same value
--- in the same modeling time. After the time changes, the value is
--- recalculated by demand.
---
--- It is possible to implement this function efficiently, for the 'Event'
--- computation is always synchronized with the event queue which time
--- flows in one direction only. This synchronization is a key difference
--- between the 'Event' and 'Dynamics' computations.
-memoEventInTime :: Event a -> Simulation (Event a)
-memoEventInTime m =
-  do ref <- liftIO $ newIORef Nothing
-     return $ Event $ \p ->
-       do x <- readIORef ref
-          case x of
-            Just (t, v) | t == pointTime p ->
-              return v
-            _ ->
-              do v <- invokeEvent p m
-                 writeIORef ref (Just (pointTime p, v))
-                 return v
-
--- | Enqueue the event which must be actuated with the current modeling time but later.
-yieldEvent :: Event () -> Event ()
-yieldEvent m =
-  Event $ \p ->
-  invokeEvent p $
-  enqueueEvent (pointTime p) m
-
--- | Defines a computation disposing some entity.
-newtype DisposableEvent =
-  DisposableEvent { disposeEvent :: Event ()
-                    -- ^ Dispose something within the 'Event' computation.
-                  }
-
-instance Monoid DisposableEvent where
-
-  mempty = DisposableEvent $ return ()
-  mappend (DisposableEvent x) (DisposableEvent y) = DisposableEvent $ x >> y
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Event
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Event' monad which is very similar to the 'Dynamics'
+-- monad but only now the computation is strongly synchronized with the event queue.
+--
+module Simulation.Aivika.Internal.Event
+       (-- * Event Monad
+        Event(..),
+        EventLift(..),
+        EventProcessing(..),
+        invokeEvent,
+        runEvent,
+        runEventWith,
+        runEventInStartTime,
+        runEventInStopTime,
+        -- * Event Queue
+        enqueueEvent,
+        enqueueEventWithCancellation,
+        enqueueEventWithTimes,
+        enqueueEventWithPoints,
+        enqueueEventWithIntegTimes,
+        yieldEvent,
+        eventQueueCount,
+        -- * Cancelling Event
+        EventCancellation,
+        cancelEvent,
+        eventCancelled,
+        eventFinished,
+        -- * Error Handling
+        catchEvent,
+        finallyEvent,
+        throwEvent,
+        -- * Memoization
+        memoEvent,
+        memoEventInTime,
+        -- * Disposable
+        DisposableEvent(..)) where
+
+import Data.IORef
+import Data.Monoid
+
+import Control.Exception
+import Control.Monad
+import Control.Monad.Trans
+import Control.Monad.Fix
+import Control.Applicative
+
+import qualified Simulation.Aivika.PriorityQueue as PQ
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+
+-- | A value in the 'Event' monad represents a polymorphic time varying function
+-- which is strongly synchronized with the event queue.
+newtype Event a = Event (Point -> IO a)
+
+instance Monad Event where
+  return  = returnE
+  m >>= k = bindE m k
+
+returnE :: a -> Event a
+{-# INLINE returnE #-}
+returnE a = Event (\p -> return a)
+
+bindE :: Event a -> (a -> Event b) -> Event b
+{-# INLINE bindE #-}
+bindE (Event m) k = 
+  Event $ \p -> 
+  do a <- m p
+     let Event m' = k a
+     m' p
+
+instance Functor Event where
+  fmap = liftME
+
+instance Applicative Event where
+  pure = return
+  (<*>) = ap
+
+liftME :: (a -> b) -> Event a -> Event b
+{-# INLINE liftME #-}
+liftME f (Event x) =
+  Event $ \p -> do { a <- x p; return $ f a }
+
+instance MonadIO Event where
+  liftIO m = Event $ const m
+
+instance ParameterLift Event where
+  liftParameter = liftPS
+
+instance SimulationLift Event where
+  liftSimulation = liftES
+
+instance DynamicsLift Event where
+  liftDynamics = liftDS
+    
+liftPS :: Parameter a -> Event a
+{-# INLINE liftPS #-}
+liftPS (Parameter m) =
+  Event $ \p -> m $ pointRun p
+    
+liftES :: Simulation a -> Event a
+{-# INLINE liftES #-}
+liftES (Simulation m) =
+  Event $ \p -> m $ pointRun p
+
+liftDS :: Dynamics a -> Event a
+{-# INLINE liftDS #-}
+liftDS (Dynamics m) =
+  Event m
+
+-- | A type class to lift the 'Event' computation to other computations.
+class EventLift m where
+  
+  -- | Lift the specified 'Event' computation to another computation.
+  liftEvent :: Event a -> m a
+
+instance EventLift Event where
+  liftEvent = id
+  
+-- | Exception handling within 'Event' computations.
+catchEvent :: Exception e => Event a -> (e -> Event a) -> Event a
+catchEvent (Event m) h =
+  Event $ \p -> 
+  catch (m p) $ \e ->
+  let Event m' = h e in m' p
+                           
+-- | A computation with finalization part like the 'finally' function.
+finallyEvent :: Event a -> Event b -> Event a
+finallyEvent (Event m) (Event m') =
+  Event $ \p ->
+  finally (m p) (m' p)
+
+-- | Like the standard 'throw' function.
+throwEvent :: Exception e => e -> Event a
+throwEvent = throw
+
+-- | Invoke the 'Event' computation.
+invokeEvent :: Point -> Event a -> IO a
+{-# INLINE invokeEvent #-}
+invokeEvent p (Event m) = m p
+
+instance MonadFix Event where
+  mfix f = 
+    Event $ \p ->
+    do { rec { a <- invokeEvent p (f a) }; return a }
+
+-- | Defines how the events are processed.
+data EventProcessing = CurrentEvents
+                       -- ^ either process all earlier and then current events,
+                       -- or raise an error if the current simulation time is less
+                       -- than the actual time of the event queue (safe within
+                       -- the 'Event' computation as this is protected by the type system)
+                     | EarlierEvents
+                       -- ^ either process all earlier events not affecting
+                       -- the events at the current simulation time,
+                       -- or raise an error if the current simulation time is less
+                       -- than the actual time of the event queue (safe within
+                       -- the 'Event' computation as this is protected by the type system)
+                     | CurrentEventsOrFromPast
+                       -- ^ either process all earlier and then current events,
+                       -- or do nothing if the current simulation time is less
+                       -- than the actual time of the event queue
+                       -- (do not use unless the documentation states the opposite)
+                     | EarlierEventsOrFromPast
+                       -- ^ either process all earlier events,
+                       -- or do nothing if the current simulation time is less
+                       -- than the actual time of the event queue
+                       -- (do not use unless the documentation states the opposite)
+                     deriving (Eq, Ord, Show)
+
+-- | Enqueue the event which must be actuated at the specified time.
+--
+-- The events are processed when calling the 'runEvent' function. So,
+-- if you want to insist on their immediate execution then you can apply
+-- something like
+--
+-- @
+--   liftDynamics $ runEvent IncludingCurrentEvents $ return ()
+-- @
+--
+-- although this is generally not good idea.  
+enqueueEvent :: Double -> Event () -> Event ()
+enqueueEvent t (Event m) =
+  Event $ \p ->
+  let pq = queuePQ $ runEventQueue $ pointRun p
+  in PQ.enqueue pq t m
+
+-- | Process the pending events.
+processPendingEventsCore :: Bool -> Dynamics ()
+processPendingEventsCore includingCurrentEvents = Dynamics r where
+  r p =
+    do let q = runEventQueue $ pointRun p
+           f = queueBusy q
+       f' <- readIORef f
+       unless f' $
+         do writeIORef f True
+            call q p
+            writeIORef f False
+  call q p =
+    do let pq = queuePQ q
+           r  = pointRun p
+       f <- PQ.queueNull pq
+       unless f $
+         do (t2, c2) <- PQ.queueFront pq
+            let t = queueTime q
+            t' <- readIORef t
+            when (t2 < t') $ 
+              error "The time value is too small: processPendingEventsCore"
+            when ((t2 < pointTime p) ||
+                  (includingCurrentEvents && (t2 == pointTime p))) $
+              do writeIORef t t2
+                 PQ.dequeue pq
+                 let sc = pointSpecs p
+                     t0 = spcStartTime sc
+                     dt = spcDT sc
+                     n2 = fromIntegral $ floor ((t2 - t0) / dt)
+                 c2 $ p { pointTime = t2,
+                          pointIteration = n2,
+                          pointPhase = -1 }
+                 call q p
+
+-- | Process the pending events synchronously, i.e. without past.
+processPendingEvents :: Bool -> Dynamics ()
+processPendingEvents includingCurrentEvents = Dynamics r where
+  r p =
+    do let q = runEventQueue $ pointRun p
+           t = queueTime q
+       t' <- readIORef t
+       if pointTime p < t'
+         then error $
+              "The current time is less than " ++
+              "the time in the queue: processPendingEvents"
+         else invokeDynamics p m
+  m = processPendingEventsCore includingCurrentEvents
+
+-- | A memoized value.
+processEventsIncludingCurrent = processPendingEvents True
+
+-- | A memoized value.
+processEventsIncludingEarlier = processPendingEvents False
+
+-- | A memoized value.
+processEventsIncludingCurrentCore = processPendingEventsCore True
+
+-- | A memoized value.
+processEventsIncludingEarlierCore = processPendingEventsCore True
+
+-- | Process the events.
+processEvents :: EventProcessing -> Dynamics ()
+processEvents CurrentEvents = processEventsIncludingCurrent
+processEvents EarlierEvents = processEventsIncludingEarlier
+processEvents CurrentEventsOrFromPast = processEventsIncludingCurrentCore
+processEvents EarlierEventsOrFromPast = processEventsIncludingEarlierCore
+
+-- | Run the 'Event' computation in the current simulation time
+-- within the 'Dynamics' computation involving all pending
+-- 'CurrentEvents' in the processing too.
+runEvent :: Event a -> Dynamics a
+runEvent = runEventWith CurrentEvents
+
+-- | Run the 'Event' computation in the current simulation time
+-- within the 'Dynamics' computation specifying what pending events 
+-- should be involved in the processing.
+runEventWith :: EventProcessing -> Event a -> Dynamics a
+runEventWith processing (Event e) =
+  Dynamics $ \p ->
+  do invokeDynamics p $ processEvents processing
+     e p
+
+-- | Run the 'Event' computation in the start time involving all
+-- pending 'CurrentEvents' in the processing too.
+runEventInStartTime :: Event a -> Simulation a
+runEventInStartTime = runDynamicsInStartTime . runEvent
+
+-- | Run the 'Event' computation in the stop time involving all
+-- pending 'CurrentEvents' in the processing too.
+runEventInStopTime :: Event a -> Simulation a
+runEventInStopTime = runDynamicsInStopTime . runEvent
+
+-- | Return the number of pending events that should
+-- be yet actuated.
+eventQueueCount :: Event Int
+eventQueueCount =
+  Event $ PQ.queueCount . queuePQ . runEventQueue . pointRun
+
+-- | Actuate the event handler in the specified time points.
+enqueueEventWithTimes :: [Double] -> Event () -> Event ()
+enqueueEventWithTimes ts e = loop ts
+  where loop []       = return ()
+        loop (t : ts) = enqueueEvent t $ e >> loop ts
+       
+-- | Actuate the event handler in the specified time points.
+enqueueEventWithPoints :: [Point] -> Event () -> Event ()
+enqueueEventWithPoints xs (Event e) = loop xs
+  where loop []       = return ()
+        loop (x : xs) = enqueueEvent (pointTime x) $ 
+                        Event $ \p ->
+                        do e x    -- N.B. we substitute the time point!
+                           invokeEvent p $ loop xs
+                           
+-- | Actuate the event handler in the integration time points.
+enqueueEventWithIntegTimes :: Event () -> Event ()
+enqueueEventWithIntegTimes e =
+  Event $ \p ->
+  let points = integPoints $ pointRun p
+  in invokeEvent p $ enqueueEventWithPoints points e
+
+-- | It allows cancelling the event.
+data EventCancellation =
+  EventCancellation { cancelEvent   :: Event (),
+                      -- ^ Cancel the event.
+                      eventCancelled :: Event Bool,
+                      -- ^ Test whether the event was cancelled.
+                      eventFinished :: Event Bool
+                      -- ^ Test whether the event was processed and finished.
+                    }
+
+-- | Enqueue the event with an ability to cancel it.
+enqueueEventWithCancellation :: Double -> Event () -> Event EventCancellation
+enqueueEventWithCancellation t e =
+  Event $ \p ->
+  do cancelledRef <- newIORef False
+     cancellableRef <- newIORef True
+     finishedRef <- newIORef False
+     let cancel =
+           Event $ \p ->
+           do x <- readIORef cancellableRef
+              when x $
+                writeIORef cancelledRef True
+         cancelled =
+           Event $ \p -> readIORef cancelledRef
+         finished =
+           Event $ \p -> readIORef finishedRef
+     invokeEvent p $
+       enqueueEvent t $
+       Event $ \p ->
+       do writeIORef cancellableRef False
+          x <- readIORef cancelledRef
+          unless x $
+            do invokeEvent p e
+               writeIORef finishedRef True
+     return EventCancellation { cancelEvent   = cancel,
+                                eventCancelled = cancelled,
+                                eventFinished = finished }
+
+-- | Memoize the 'Event' computation, always returning the same value
+-- within a simulation run.
+memoEvent :: Event a -> Simulation (Event a)
+memoEvent m =
+  do ref <- liftIO $ newIORef Nothing
+     return $ Event $ \p ->
+       do x <- readIORef ref
+          case x of
+            Just v -> return v
+            Nothing ->
+              do v <- invokeEvent p m
+                 writeIORef ref (Just v)
+                 return v
+
+-- | Memoize the 'Event' computation, always returning the same value
+-- in the same modeling time. After the time changes, the value is
+-- recalculated by demand.
+--
+-- It is possible to implement this function efficiently, for the 'Event'
+-- computation is always synchronized with the event queue which time
+-- flows in one direction only. This synchronization is a key difference
+-- between the 'Event' and 'Dynamics' computations.
+memoEventInTime :: Event a -> Simulation (Event a)
+memoEventInTime m =
+  do ref <- liftIO $ newIORef Nothing
+     return $ Event $ \p ->
+       do x <- readIORef ref
+          case x of
+            Just (t, v) | t == pointTime p ->
+              return v
+            _ ->
+              do v <- invokeEvent p m
+                 writeIORef ref (Just (pointTime p, v))
+                 return v
+
+-- | Enqueue the event which must be actuated with the current modeling time but later.
+yieldEvent :: Event () -> Event ()
+yieldEvent m =
+  Event $ \p ->
+  invokeEvent p $
+  enqueueEvent (pointTime p) m
+
+-- | Defines a computation disposing some entity.
+newtype DisposableEvent =
+  DisposableEvent { disposeEvent :: Event ()
+                    -- ^ Dispose something within the 'Event' computation.
+                  }
+
+instance Monoid DisposableEvent where
+
+  mempty = DisposableEvent $ return ()
+  mappend (DisposableEvent x) (DisposableEvent y) = DisposableEvent $ x >> y
diff --git a/Simulation/Aivika/Internal/Parameter.hs b/Simulation/Aivika/Internal/Parameter.hs
--- a/Simulation/Aivika/Internal/Parameter.hs
+++ b/Simulation/Aivika/Internal/Parameter.hs
@@ -1,262 +1,261 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
--- |
--- Module     : Simulation.Aivika.Internal.Parameter
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines the 'Parameter' monad that allows representing the model
--- parameters. For example, they can be used when running the Monte-Carlo simulation.
--- 
--- In general, this monad is very useful for representing a computation which is external
--- relative to the model itself.
---
-module Simulation.Aivika.Internal.Parameter
-       (-- * Parameter
-        Parameter(..),
-        ParameterLift(..),
-        invokeParameter,
-        runParameter,
-        runParameters,
-        -- * Error Handling
-        catchParameter,
-        finallyParameter,
-        throwParameter,
-        -- * Predefined Parameters
-        simulationIndex,
-        simulationCount,
-        simulationSpecs,
-        starttime,
-        stoptime,
-        dt,
-        generatorParameter,
-        -- * Memoization
-        memoParameter,
-        -- * Utilities
-        tableParameter) where
-
-import qualified Control.Exception as C
-import Control.Exception (IOException, throw, finally)
-import Control.Concurrent.MVar
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Monad.Fix
-import Control.Applicative
-
-import Data.IORef
-import qualified Data.IntMap as M
-import Data.Array
-
-import Simulation.Aivika.Generator
-import Simulation.Aivika.Internal.Specs
-
--- | The 'Parameter' monad that allows specifying the model parameters.
--- For example, they can be used when running the Monte-Carlo simulation.
--- 
--- In general, this monad is very useful for representing a computation which is external
--- relative to the model itself.
-newtype Parameter a = Parameter (Run -> IO a)
-
-instance Monad Parameter where
-  return  = returnP
-  m >>= k = bindP m k
-
-returnP :: a -> Parameter a
-{-# INLINE returnP #-}
-returnP a = Parameter (\r -> return a)
-
-bindP :: Parameter a -> (a -> Parameter b) -> Parameter b
-{-# INLINE bindP #-}
-bindP (Parameter m) k = 
-  Parameter $ \r -> 
-  do a <- m r
-     let Parameter m' = k a
-     m' r
-
--- | Run the parameter using the specified specs.
-runParameter :: Parameter a -> Specs -> IO a
-runParameter (Parameter m) sc =
-  do q <- newEventQueue sc
-     g <- newGenerator $ spcGeneratorType sc
-     m Run { runSpecs = sc,
-             runIndex = 1,
-             runCount = 1,
-             runEventQueue = q,
-             runGenerator = g }
-
--- | Run the given number of parameters using the specified specs, 
---   where each parameter is distinguished by its index 'parameterIndex'.
-runParameters :: Parameter a -> Specs -> Int -> [IO a]
-runParameters (Parameter m) sc runs = map f [1 .. runs]
-  where f i = do q <- newEventQueue sc
-                 g <- newGenerator $ spcGeneratorType sc
-                 m Run { runSpecs = sc,
-                         runIndex = i,
-                         runCount = runs,
-                         runEventQueue = q,
-                         runGenerator = g }
-
--- | Return the run index for the current simulation.
-simulationIndex :: Parameter Int
-simulationIndex = Parameter $ return . runIndex
-
--- | Return the number of simulations currently run.
-simulationCount :: Parameter Int
-simulationCount = Parameter $ return . runCount
-
--- | Return the simulation specs.
-simulationSpecs :: Parameter Specs
-simulationSpecs = Parameter $ return . runSpecs
-
--- | Return the random number generator for the simulation run.
-generatorParameter :: Parameter Generator
-generatorParameter = Parameter $ return . runGenerator
-
-instance Functor Parameter where
-  fmap = liftMP
-
-instance Applicative Parameter where
-  pure = return
-  (<*>) = ap
-
-instance Eq (Parameter a) where
-  x == y = error "Can't compare parameters." 
-
-instance Show (Parameter a) where
-  showsPrec _ x = showString "<< Parameter >>"
-
-liftMP :: (a -> b) -> Parameter a -> Parameter b
-{-# INLINE liftMP #-}
-liftMP f (Parameter x) =
-  Parameter $ \r -> do { a <- x r; return $ f a }
-
-liftM2P :: (a -> b -> c) -> Parameter a -> Parameter b -> Parameter c
-{-# INLINE liftM2P #-}
-liftM2P f (Parameter x) (Parameter y) =
-  Parameter $ \r -> do { a <- x r; b <- y r; return $ f a b }
-
-instance (Num a) => Num (Parameter a) where
-  x + y = liftM2P (+) x y
-  x - y = liftM2P (-) x y
-  x * y = liftM2P (*) x y
-  negate = liftMP negate
-  abs = liftMP abs
-  signum = liftMP signum
-  fromInteger i = return $ fromInteger i
-
-instance (Fractional a) => Fractional (Parameter a) where
-  x / y = liftM2P (/) x y
-  recip = liftMP recip
-  fromRational t = return $ fromRational t
-
-instance (Floating a) => Floating (Parameter a) where
-  pi = return pi
-  exp = liftMP exp
-  log = liftMP log
-  sqrt = liftMP sqrt
-  x ** y = liftM2P (**) x y
-  sin = liftMP sin
-  cos = liftMP cos
-  tan = liftMP tan
-  asin = liftMP asin
-  acos = liftMP acos
-  atan = liftMP atan
-  sinh = liftMP sinh
-  cosh = liftMP cosh
-  tanh = liftMP tanh
-  asinh = liftMP asinh
-  acosh = liftMP acosh
-  atanh = liftMP atanh
-
-instance MonadIO Parameter where
-  liftIO m = Parameter $ const m
-
--- | A type class to lift the parameters to other computations.
-class ParameterLift m where
-  
-  -- | Lift the specified 'Parameter' computation to another computation.
-  liftParameter :: Parameter a -> m a
-
-instance ParameterLift Parameter where
-  liftParameter = id
-    
--- | Exception handling within 'Parameter' computations.
-catchParameter :: Parameter a -> (IOException -> Parameter a) -> Parameter a
-catchParameter (Parameter m) h =
-  Parameter $ \r -> 
-  C.catch (m r) $ \e ->
-  let Parameter m' = h e in m' r
-                           
--- | A computation with finalization part like the 'finally' function.
-finallyParameter :: Parameter a -> Parameter b -> Parameter a
-finallyParameter (Parameter m) (Parameter m') =
-  Parameter $ \r ->
-  C.finally (m r) (m' r)
-
--- | Like the standard 'throw' function.
-throwParameter :: IOException -> Parameter a
-throwParameter = throw
-
--- | Invoke the 'Parameter' computation.
-invokeParameter :: Run -> Parameter a -> IO a
-{-# INLINE invokeParameter #-}
-invokeParameter r (Parameter m) = m r
-
-instance MonadFix Parameter where
-  mfix f = 
-    Parameter $ \r ->
-    do { rec { a <- invokeParameter r (f a) }; return a }  
-
--- | Memoize the 'Parameter' computation, always returning the same value
--- within a simulation run. However, the value will be recalculated for other
--- simulation runs. Also it is thread-safe when different simulation runs
--- are executed in parallel on physically different operating system threads.
-memoParameter :: Parameter a -> IO (Parameter a)
-memoParameter x = 
-  do lock <- newMVar ()
-     dict <- newIORef M.empty
-     return $ Parameter $ \r ->
-       do let i = runIndex r
-          m <- readIORef dict
-          if M.member i m
-            then do let Just v = M.lookup i m
-                    return v
-            else withMVar lock $ 
-                 \() -> do { m <- readIORef dict;
-                             if M.member i m
-                             then do let Just v = M.lookup i m
-                                     return v
-                             else do v <- invokeParameter r x
-                                     writeIORef dict $ M.insert i v m
-                                     return v }
-
--- | Return a parameter which value is taken consequently from the specified table
--- based on the run index of the current simulation starting from zero. After all
--- values from the table are used, it takes again the first value of the table,
--- then the second one and so on.
-tableParameter :: Array Int a -> Parameter a
-tableParameter t =
-  do i <- simulationIndex
-     return $ t ! (((i - i1) `mod` n) + i1)
-  where (i1, i2) = bounds t
-        n = i2 - i1 + 1
-
--- | Computation that returns the start simulation time.
-starttime :: Parameter Double
-starttime =
-  Parameter $ return . spcStartTime . runSpecs
-
--- | Computation that returns the final simulation time.
-stoptime :: Parameter Double
-stoptime =
-  Parameter $ return . spcStopTime . runSpecs
-
--- | Computation that returns the integration time step.
-dt :: Parameter Double
-dt =
-  Parameter $ return . spcDT . runSpecs
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Parameter
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Parameter' monad that allows representing the model
+-- parameters. For example, they can be used when running the Monte-Carlo simulation.
+-- 
+-- In general, this monad is very useful for representing a computation which is external
+-- relative to the model itself.
+--
+module Simulation.Aivika.Internal.Parameter
+       (-- * Parameter
+        Parameter(..),
+        ParameterLift(..),
+        invokeParameter,
+        runParameter,
+        runParameters,
+        -- * Error Handling
+        catchParameter,
+        finallyParameter,
+        throwParameter,
+        -- * Predefined Parameters
+        simulationIndex,
+        simulationCount,
+        simulationSpecs,
+        starttime,
+        stoptime,
+        dt,
+        generatorParameter,
+        -- * Memoization
+        memoParameter,
+        -- * Utilities
+        tableParameter) where
+
+import Control.Exception
+import Control.Concurrent.MVar
+
+import Control.Monad
+import Control.Monad.Trans
+import Control.Monad.Fix
+import Control.Applicative
+
+import Data.IORef
+import qualified Data.IntMap as M
+import Data.Array
+
+import Simulation.Aivika.Generator
+import Simulation.Aivika.Internal.Specs
+
+-- | The 'Parameter' monad that allows specifying the model parameters.
+-- For example, they can be used when running the Monte-Carlo simulation.
+-- 
+-- In general, this monad is very useful for representing a computation which is external
+-- relative to the model itself.
+newtype Parameter a = Parameter (Run -> IO a)
+
+instance Monad Parameter where
+  return  = returnP
+  m >>= k = bindP m k
+
+returnP :: a -> Parameter a
+{-# INLINE returnP #-}
+returnP a = Parameter (\r -> return a)
+
+bindP :: Parameter a -> (a -> Parameter b) -> Parameter b
+{-# INLINE bindP #-}
+bindP (Parameter m) k = 
+  Parameter $ \r -> 
+  do a <- m r
+     let Parameter m' = k a
+     m' r
+
+-- | Run the parameter using the specified specs.
+runParameter :: Parameter a -> Specs -> IO a
+runParameter (Parameter m) sc =
+  do q <- newEventQueue sc
+     g <- newGenerator $ spcGeneratorType sc
+     m Run { runSpecs = sc,
+             runIndex = 1,
+             runCount = 1,
+             runEventQueue = q,
+             runGenerator = g }
+
+-- | Run the given number of parameters using the specified specs, 
+--   where each parameter is distinguished by its index 'parameterIndex'.
+runParameters :: Parameter a -> Specs -> Int -> [IO a]
+runParameters (Parameter m) sc runs = map f [1 .. runs]
+  where f i = do q <- newEventQueue sc
+                 g <- newGenerator $ spcGeneratorType sc
+                 m Run { runSpecs = sc,
+                         runIndex = i,
+                         runCount = runs,
+                         runEventQueue = q,
+                         runGenerator = g }
+
+-- | Return the run index for the current simulation.
+simulationIndex :: Parameter Int
+simulationIndex = Parameter $ return . runIndex
+
+-- | Return the number of simulations currently run.
+simulationCount :: Parameter Int
+simulationCount = Parameter $ return . runCount
+
+-- | Return the simulation specs.
+simulationSpecs :: Parameter Specs
+simulationSpecs = Parameter $ return . runSpecs
+
+-- | Return the random number generator for the simulation run.
+generatorParameter :: Parameter Generator
+generatorParameter = Parameter $ return . runGenerator
+
+instance Functor Parameter where
+  fmap = liftMP
+
+instance Applicative Parameter where
+  pure = return
+  (<*>) = ap
+
+instance Eq (Parameter a) where
+  x == y = error "Can't compare parameters." 
+
+instance Show (Parameter a) where
+  showsPrec _ x = showString "<< Parameter >>"
+
+liftMP :: (a -> b) -> Parameter a -> Parameter b
+{-# INLINE liftMP #-}
+liftMP f (Parameter x) =
+  Parameter $ \r -> do { a <- x r; return $ f a }
+
+liftM2P :: (a -> b -> c) -> Parameter a -> Parameter b -> Parameter c
+{-# INLINE liftM2P #-}
+liftM2P f (Parameter x) (Parameter y) =
+  Parameter $ \r -> do { a <- x r; b <- y r; return $ f a b }
+
+instance (Num a) => Num (Parameter a) where
+  x + y = liftM2P (+) x y
+  x - y = liftM2P (-) x y
+  x * y = liftM2P (*) x y
+  negate = liftMP negate
+  abs = liftMP abs
+  signum = liftMP signum
+  fromInteger i = return $ fromInteger i
+
+instance (Fractional a) => Fractional (Parameter a) where
+  x / y = liftM2P (/) x y
+  recip = liftMP recip
+  fromRational t = return $ fromRational t
+
+instance (Floating a) => Floating (Parameter a) where
+  pi = return pi
+  exp = liftMP exp
+  log = liftMP log
+  sqrt = liftMP sqrt
+  x ** y = liftM2P (**) x y
+  sin = liftMP sin
+  cos = liftMP cos
+  tan = liftMP tan
+  asin = liftMP asin
+  acos = liftMP acos
+  atan = liftMP atan
+  sinh = liftMP sinh
+  cosh = liftMP cosh
+  tanh = liftMP tanh
+  asinh = liftMP asinh
+  acosh = liftMP acosh
+  atanh = liftMP atanh
+
+instance MonadIO Parameter where
+  liftIO m = Parameter $ const m
+
+-- | A type class to lift the parameters to other computations.
+class ParameterLift m where
+  
+  -- | Lift the specified 'Parameter' computation to another computation.
+  liftParameter :: Parameter a -> m a
+
+instance ParameterLift Parameter where
+  liftParameter = id
+    
+-- | Exception handling within 'Parameter' computations.
+catchParameter :: Exception e => Parameter a -> (e -> Parameter a) -> Parameter a
+catchParameter (Parameter m) h =
+  Parameter $ \r -> 
+  catch (m r) $ \e ->
+  let Parameter m' = h e in m' r
+                           
+-- | A computation with finalization part like the 'finally' function.
+finallyParameter :: Parameter a -> Parameter b -> Parameter a
+finallyParameter (Parameter m) (Parameter m') =
+  Parameter $ \r ->
+  finally (m r) (m' r)
+
+-- | Like the standard 'throw' function.
+throwParameter :: Exception e => e -> Parameter a
+throwParameter = throw
+
+-- | Invoke the 'Parameter' computation.
+invokeParameter :: Run -> Parameter a -> IO a
+{-# INLINE invokeParameter #-}
+invokeParameter r (Parameter m) = m r
+
+instance MonadFix Parameter where
+  mfix f = 
+    Parameter $ \r ->
+    do { rec { a <- invokeParameter r (f a) }; return a }  
+
+-- | Memoize the 'Parameter' computation, always returning the same value
+-- within a simulation run. However, the value will be recalculated for other
+-- simulation runs. Also it is thread-safe when different simulation runs
+-- are executed in parallel on physically different operating system threads.
+memoParameter :: Parameter a -> IO (Parameter a)
+memoParameter x = 
+  do lock <- newMVar ()
+     dict <- newIORef M.empty
+     return $ Parameter $ \r ->
+       do let i = runIndex r
+          m <- readIORef dict
+          if M.member i m
+            then do let Just v = M.lookup i m
+                    return v
+            else withMVar lock $ 
+                 \() -> do { m <- readIORef dict;
+                             if M.member i m
+                             then do let Just v = M.lookup i m
+                                     return v
+                             else do v <- invokeParameter r x
+                                     writeIORef dict $ M.insert i v m
+                                     return v }
+
+-- | Return a parameter which value is taken consequently from the specified table
+-- based on the run index of the current simulation starting from zero. After all
+-- values from the table are used, it takes again the first value of the table,
+-- then the second one and so on.
+tableParameter :: Array Int a -> Parameter a
+tableParameter t =
+  do i <- simulationIndex
+     return $ t ! (((i - i1) `mod` n) + i1)
+  where (i1, i2) = bounds t
+        n = i2 - i1 + 1
+
+-- | Computation that returns the start simulation time.
+starttime :: Parameter Double
+starttime =
+  Parameter $ return . spcStartTime . runSpecs
+
+-- | Computation that returns the final simulation time.
+stoptime :: Parameter Double
+stoptime =
+  Parameter $ return . spcStopTime . runSpecs
+
+-- | Computation that returns the integration time step.
+dt :: Parameter Double
+dt =
+  Parameter $ return . spcDT . runSpecs
diff --git a/Simulation/Aivika/Internal/Process.hs b/Simulation/Aivika/Internal/Process.hs
--- a/Simulation/Aivika/Internal/Process.hs
+++ b/Simulation/Aivika/Internal/Process.hs
@@ -1,627 +1,630 @@
-
--- |
--- Module     : Simulation.Aivika.Internal.Process
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- A value in the 'Process' monad represents a discontinuous process that 
--- can suspend in any simulation time point and then resume later in the same 
--- or another time point. 
--- 
--- The process of this type can involve the 'Event', 'Dynamics' and 'Simulation'
--- computations. Moreover, a value in the @Process@ monad can be run within
--- the @Event@ computation.
---
--- A value of the 'ProcessId' type is just an identifier of such a process.
---
-module Simulation.Aivika.Internal.Process
-       (-- * Process Monad
-        ProcessId,
-        Process(..),
-        ProcessLift(..),
-        invokeProcess,
-        -- * Running Process
-        runProcess,
-        runProcessUsingId,
-        runProcessInStartTime,
-        runProcessInStartTimeUsingId,
-        runProcessInStopTime,
-        runProcessInStopTimeUsingId,
-        -- * Spawning Processes
-        spawnProcess,
-        spawnProcessUsingId,
-        -- * Enqueuing Process
-        enqueueProcess,
-        enqueueProcessUsingId,
-        -- * Creating Process Identifier
-        newProcessId,
-        processId,
-        processUsingId,
-        -- * Holding, Interrupting, Passivating and Canceling Process
-        holdProcess,
-        interruptProcess,
-        processInterrupted,
-        passivateProcess,
-        processPassive,
-        reactivateProcess,
-        cancelProcessWithId,
-        cancelProcess,
-        processCancelled,
-        processCancelling,
-        whenCancellingProcess,
-        -- * Awaiting Signal
-        processAwait,
-        -- * Yield of Process
-        processYield,
-        -- * Process Timeout
-        timeoutProcess,
-        timeoutProcessUsingId,
-        -- * Parallelizing Processes
-        processParallel,
-        processParallelUsingIds,
-        processParallel_,
-        processParallelUsingIds_,
-        -- * Exception Handling
-        catchProcess,
-        finallyProcess,
-        throwProcess,
-        -- * Utilities
-        zipProcessParallel,
-        zip3ProcessParallel,
-        unzipProcess,
-        -- * Memoizing Process
-        memoProcess,
-        -- * Never Ending Process
-        neverProcess) where
-
-import Data.Maybe
-import Data.IORef
-
-import Control.Exception (IOException, throw)
-import Control.Monad
-import Control.Monad.Trans
-import Control.Applicative
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Cont
-import Simulation.Aivika.Internal.Signal
-
--- | Represents a process identifier.
-data ProcessId = 
-  ProcessId { processStarted :: IORef Bool,
-              processReactCont     :: IORef (Maybe (ContParams ())), 
-              processCancelSource  :: ContCancellationSource,
-              processInterruptRef  :: IORef Bool, 
-              processInterruptCont :: IORef (Maybe (ContParams ())), 
-              processInterruptVersion :: IORef Int }
-
--- | Specifies a discontinuous process that can suspend at any time
--- and then resume later.
-newtype Process a = Process (ProcessId -> Cont a)
-
--- | A type class to lift the 'Process' computation to other computations.
-class ProcessLift m where
-  
-  -- | Lift the specified 'Process' computation to another computation.
-  liftProcess :: Process a -> m a
-
-instance ProcessLift Process where
-  liftProcess = id
-
--- | Invoke the process computation.
-invokeProcess :: ProcessId -> Process a -> Cont a
-{-# INLINE invokeProcess #-}
-invokeProcess pid (Process m) = m pid
-
--- | Hold the process for the specified time period.
-holdProcess :: Double -> Process ()
-holdProcess dt =
-  Process $ \pid ->
-  Cont $ \c ->
-  Event $ \p ->
-  do let x = processInterruptCont pid
-     writeIORef x $ Just c
-     writeIORef (processInterruptRef pid) False
-     v <- readIORef (processInterruptVersion pid)
-     invokeEvent p $
-       enqueueEvent (pointTime p + dt) $
-       Event $ \p ->
-       do v' <- readIORef (processInterruptVersion pid)
-          when (v == v') $ 
-            do writeIORef x Nothing
-               invokeEvent p $ resumeCont c ()
-
--- | Interrupt a process with the specified identifier if the process
--- is held by computation 'holdProcess'.
-interruptProcess :: ProcessId -> Event ()
-interruptProcess pid =
-  Event $ \p ->
-  do let x = processInterruptCont pid
-     a <- readIORef x
-     case a of
-       Nothing -> return ()
-       Just c ->
-         do writeIORef x Nothing
-            writeIORef (processInterruptRef pid) True
-            modifyIORef (processInterruptVersion pid) $ (+) 1
-            invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
-            
--- | Test whether the process with the specified identifier was interrupted.
-processInterrupted :: ProcessId -> Event Bool
-processInterrupted pid =
-  Event $ \p ->
-  readIORef (processInterruptRef pid)
-
--- | Passivate the process.
-passivateProcess :: Process ()
-passivateProcess =
-  Process $ \pid ->
-  Cont $ \c ->
-  Event $ \p ->
-  do let x = processReactCont pid
-     a <- readIORef x
-     case a of
-       Nothing -> writeIORef x $ Just c
-       Just _  -> error "Cannot passivate the process twice: passivateProcess"
-
--- | Test whether the process with the specified identifier is passivated.
-processPassive :: ProcessId -> Event Bool
-processPassive pid =
-  Event $ \p ->
-  do let x = processReactCont pid
-     a <- readIORef x
-     return $ isJust a
-
--- | Reactivate a process with the specified identifier.
-reactivateProcess :: ProcessId -> Event ()
-reactivateProcess pid =
-  Event $ \p ->
-  do let x = processReactCont pid
-     a <- readIORef x
-     case a of
-       Nothing -> 
-         return ()
-       Just c ->
-         do writeIORef x Nothing
-            invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
-
--- | Prepare the processes identifier for running.
-processIdPrepare :: ProcessId -> Event ()
-processIdPrepare pid =
-  Event $ \p ->
-  do y <- readIORef (processStarted pid)
-     if y
-       then error $
-            "Another process with the specified identifier " ++
-            "has been started already: processIdPrepare"
-       else writeIORef (processStarted pid) True
-     let signal = processCancelling pid
-     invokeEvent p $
-       handleSignal_ signal $ \_ ->
-       do interruptProcess pid
-          reactivateProcess pid
-
--- | Run immediately the process. A new 'ProcessId' identifier will be
--- assigned to the process.
---            
--- To run the process at the specified time, you can use
--- the 'enqueueProcess' function.
-runProcess :: Process () -> Event ()
-runProcess p =
-  do pid <- liftSimulation newProcessId
-     runProcessUsingId pid p
-             
--- | Run immediately the process with the specified identifier.
--- It will be more efficient than as you would specify the process identifier
--- with help of the 'processUsingId' combinator and then would call 'runProcess'.
---            
--- To run the process at the specified time, you can use
--- the 'enqueueProcessUsingId' function.
-runProcessUsingId :: ProcessId -> Process () -> Event ()
-runProcessUsingId pid p =
-  do processIdPrepare pid
-     runCont m cont econt ccont (processCancelSource pid) False
-       where cont  = return
-             econt = throwEvent
-             ccont = return
-             m = invokeProcess pid p
-
--- | Run the process in the start time immediately involving all pending
--- 'CurrentEvents' in the computation too.
-runProcessInStartTime :: Process () -> Simulation ()
-runProcessInStartTime = runEventInStartTime . runProcess
-
--- | Run the process in the start time immediately using the specified identifier
--- and involving all pending 'CurrentEvents' in the computation too.
-runProcessInStartTimeUsingId :: ProcessId -> Process () -> Simulation ()
-runProcessInStartTimeUsingId pid p =
-  runEventInStartTime $ runProcessUsingId pid p
-
--- | Run the process in the final simulation time immediately involving all
--- pending 'CurrentEvents' in the computation too.
-runProcessInStopTime :: Process () -> Simulation ()
-runProcessInStopTime = runEventInStopTime . runProcess
-
--- | Run the process in the final simulation time immediately using 
--- the specified identifier and involving all pending 'CurrentEvents'
--- in the computation too.
-runProcessInStopTimeUsingId :: ProcessId -> Process () -> Simulation ()
-runProcessInStopTimeUsingId pid p =
-  runEventInStopTime $ runProcessUsingId pid p
-
--- | Enqueue the process that will be then started at the specified time
--- from the event queue.
-enqueueProcess :: Double -> Process () -> Event ()
-enqueueProcess t p =
-  enqueueEvent t $ runProcess p
-
--- | Enqueue the process that will be then started at the specified time
--- from the event queue.
-enqueueProcessUsingId :: Double -> ProcessId -> Process () -> Event ()
-enqueueProcessUsingId t pid p =
-  enqueueEvent t $ runProcessUsingId pid p
-
--- | Return the current process identifier.
-processId :: Process ProcessId
-processId = Process return
-
--- | Create a new process identifier.
-newProcessId :: Simulation ProcessId
-newProcessId =
-  do x <- liftIO $ newIORef Nothing
-     y <- liftIO $ newIORef False
-     c <- newContCancellationSource
-     i <- liftIO $ newIORef False
-     z <- liftIO $ newIORef Nothing
-     v <- liftIO $ newIORef 0
-     return ProcessId { processStarted = y,
-                        processReactCont     = x, 
-                        processCancelSource  = c, 
-                        processInterruptRef  = i,
-                        processInterruptCont = z, 
-                        processInterruptVersion = v }
-
--- | Cancel a process with the specified identifier, interrupting it if needed.
-cancelProcessWithId :: ProcessId -> Event ()
-cancelProcessWithId pid = contCancellationInitiate (processCancelSource pid)
-
--- | The process cancels itself.
-cancelProcess :: Process a
-cancelProcess =
-  do pid <- processId
-     liftEvent $ cancelProcessWithId pid
-     throwProcess $ error "The process must be cancelled already: cancelProcess."
-
--- | Test whether the process with the specified identifier was cancelled.
-processCancelled :: ProcessId -> Event Bool
-processCancelled pid = contCancellationInitiated (processCancelSource pid)
-
--- | Return a signal that notifies about cancelling the process with 
--- the specified identifier.
-processCancelling :: ProcessId -> Signal ()
-processCancelling pid = contCancellationInitiating (processCancelSource pid)
-
--- | Register a handler that will be invoked in case of cancelling the current process.
-whenCancellingProcess :: Event () -> Process ()
-whenCancellingProcess h =
-  Process $ \pid ->
-  liftEvent $
-  handleSignal_ (processCancelling pid) $ \() -> h
-
-instance Eq ProcessId where
-  x == y = processReactCont x == processReactCont y    -- for the references are unique
-
-instance Monad Process where
-  return  = returnP
-  m >>= k = bindP m k
-
-instance Functor Process where
-  fmap = liftM
-
-instance Applicative Process where
-  pure = return
-  (<*>) = ap
-
-instance ParameterLift Process where
-  liftParameter = liftPP
-
-instance SimulationLift Process where
-  liftSimulation = liftSP
-  
-instance DynamicsLift Process where
-  liftDynamics = liftDP
-  
-instance EventLift Process where
-  liftEvent = liftEP
-  
-instance MonadIO Process where
-  liftIO = liftIOP
-  
-returnP :: a -> Process a
-{-# INLINE returnP #-}
-returnP a = Process $ \pid -> return a
-
-bindP :: Process a -> (a -> Process b) -> Process b
-{-# INLINE bindP #-}
-bindP (Process m) k = 
-  Process $ \pid -> 
-  do a <- m pid
-     let Process m' = k a
-     m' pid
-
-liftPP :: Parameter a -> Process a
-{-# INLINE liftPP #-}
-liftPP m = Process $ \pid -> liftParameter m
-
-liftSP :: Simulation a -> Process a
-{-# INLINE liftSP #-}
-liftSP m = Process $ \pid -> liftSimulation m
-
-liftDP :: Dynamics a -> Process a
-{-# INLINE liftDP #-}
-liftDP m = Process $ \pid -> liftDynamics m
-
-liftEP :: Event a -> Process a
-{-# INLINE liftEP #-}
-liftEP m = Process $ \pid -> liftEvent m
-
-liftIOP :: IO a -> Process a
-{-# INLINE liftIOP #-}
-liftIOP m = Process $ \pid -> liftIO m
-
--- | Exception handling within 'Process' computations.
-catchProcess :: Process a -> (IOException -> Process a) -> Process a
-catchProcess (Process m) h =
-  Process $ \pid ->
-  catchCont (m pid) $ \e ->
-  let Process m' = h e in m' pid
-                           
--- | A computation with finalization part.
-finallyProcess :: Process a -> Process b -> Process a
-finallyProcess (Process m) (Process m') =
-  Process $ \pid ->
-  finallyCont (m pid) (m' pid)
-
--- | Throw the exception with the further exception handling.
--- By some reasons, the standard 'throw' function per se is not handled 
--- properly within 'Process' computations, although it will be still 
--- handled if it will be hidden under the 'liftIO' function. The problem 
--- arises namely with the @throw@ function, not 'IO' computations.
-throwProcess :: IOException -> Process a
-throwProcess = liftIO . throw
-
--- | Execute the specified computations in parallel within
--- the current computation and return their results. The cancellation
--- of any of the nested computations affects the current computation.
--- The exception raised in any of the nested computations is propagated
--- to the current computation as well.
---
--- Here word @parallel@ literally means that the computations are
--- actually executed on a single operating system thread but
--- they are processed simultaneously by the event queue.
---
--- New 'ProcessId' identifiers will be assigned to the started processes.
-processParallel :: [Process a] -> Process [a]
-processParallel xs =
-  liftSimulation (processParallelCreateIds xs) >>= processParallelUsingIds 
-
--- | Like 'processParallel' but allows specifying the process identifiers.
--- It will be more efficient than as you would specify the process identifiers
--- with help of the 'processUsingId' combinator and then would call 'processParallel'.
-processParallelUsingIds :: [(ProcessId, Process a)] -> Process [a]
-processParallelUsingIds xs =
-  Process $ \pid ->
-  do liftEvent $ processParallelPrepare xs
-     contParallel $
-       flip map xs $ \(pid, m) ->
-       (invokeProcess pid m, processCancelSource pid)
-
--- | Like 'processParallel' but ignores the result.
-processParallel_ :: [Process a] -> Process ()
-processParallel_ xs =
-  liftSimulation (processParallelCreateIds xs) >>= processParallelUsingIds_ 
-
--- | Like 'processParallelUsingIds' but ignores the result.
-processParallelUsingIds_ :: [(ProcessId, Process a)] -> Process ()
-processParallelUsingIds_ xs =
-  Process $ \pid ->
-  do liftEvent $ processParallelPrepare xs
-     contParallel_ $
-       flip map xs $ \(pid, m) ->
-       (invokeProcess pid m, processCancelSource pid)
-
--- | Create the new process identifiers.
-processParallelCreateIds :: [Process a] -> Simulation [(ProcessId, Process a)]
-processParallelCreateIds xs =
-  do pids <- liftSimulation $ forM xs $ const newProcessId
-     return $ zip pids xs
-
--- | Prepare the processes for parallel execution.
-processParallelPrepare :: [(ProcessId, Process a)] -> Event ()
-processParallelPrepare xs =
-  Event $ \p ->
-  forM_ xs $ invokeEvent p . processIdPrepare . fst
-
--- | Allow calling the process with the specified identifier.
--- It creates a nested process when canceling any of two, or raising an
--- @IO@ exception in any of the both, affects the 'Process' computation.
---
--- At the same time, the interruption has no such effect as it requires
--- explicit specifying the 'ProcessId' identifier of the nested process itself,
--- that is the nested process cannot be interrupted using only the parent
--- process identifier.
-processUsingId :: ProcessId -> Process a -> Process a
-processUsingId pid x =
-  Process $ \pid' ->
-  do liftEvent $ processIdPrepare pid
-     rerunCont (invokeProcess pid x) (processCancelSource pid)
-
--- | Spawn the child process specifying how the child and parent processes
--- should be cancelled in case of need.
-spawnProcess :: ContCancellation -> Process () -> Process ()
-spawnProcess cancellation x =
-  do pid <- liftSimulation newProcessId
-     spawnProcessUsingId cancellation pid x
-
--- | Spawn the child process specifying how the child and parent processes
--- should be cancelled in case of need.
-spawnProcessUsingId :: ContCancellation -> ProcessId -> Process () -> Process ()
-spawnProcessUsingId cancellation pid x =
-  Process $ \pid' ->
-  do liftEvent $ processIdPrepare pid
-     spawnCont cancellation (invokeProcess pid x) (processCancelSource pid)
-
--- | Await the signal.
-processAwait :: Signal a -> Process a
-processAwait signal =
-  Process $ \pid -> contAwait signal
-
--- | The result of memoization.
-data MemoResult a = MemoComputed a
-                  | MemoError IOException
-                  | MemoCancelled
-
--- | Memoize the process so that it would always return the same value
--- within the simulation run.
-memoProcess :: Process a -> Simulation (Process a)
-memoProcess x =
-  do started  <- liftIO $ newIORef False
-     computed <- newSignalSource
-     value    <- liftIO $ newIORef Nothing
-     let result =
-           do Just x <- liftIO $ readIORef value
-              case x of
-                MemoComputed a -> return a
-                MemoError e    -> throwProcess e
-                MemoCancelled  -> cancelProcess
-     return $
-       do v <- liftIO $ readIORef value
-          case v of
-            Just _ -> result
-            Nothing ->
-              do f <- liftIO $ readIORef started
-                 case f of
-                   True ->
-                     do processAwait $ publishSignal computed
-                        result
-                   False ->
-                     do liftIO $ writeIORef started True
-                        r <- liftIO $ newIORef MemoCancelled
-                        finallyProcess
-                          (catchProcess
-                           (do a <- x    -- compute only once!
-                               liftIO $ writeIORef r (MemoComputed a))
-                           (\e ->
-                             liftIO $ writeIORef r (MemoError e)))
-                          (liftEvent $
-                           do liftIO $
-                                do x <- readIORef r
-                                   writeIORef value (Just x)
-                              triggerSignal computed ())
-                        result
-
--- | Zip two parallel processes waiting for the both.
-zipProcessParallel :: Process a -> Process b -> Process (a, b)
-zipProcessParallel x y =
-  do [Left a, Right b] <- processParallel [fmap Left x, fmap Right y]
-     return (a, b)
-
--- | Zip three parallel processes waiting for their results.
-zip3ProcessParallel :: Process a -> Process b -> Process c -> Process (a, b, c)
-zip3ProcessParallel x y z =
-  do [Left a,
-      Right (Left b),
-      Right (Right c)] <-
-       processParallel [fmap Left x,
-                        fmap (Right . Left) y,
-                        fmap (Right . Right) z]
-     return (a, b, c)
-
--- | Unzip the process using memoization so that the both returned
--- processes could be applied independently, although they will refer
--- to the same pair of values.
-unzipProcess :: Process (a, b) -> Simulation (Process a, Process b)
-unzipProcess xy =
-  do xy' <- memoProcess xy
-     return (fmap fst xy', fmap snd xy')
-
--- | Try to run the child process within the specified timeout.
--- If the process will finish successfully within this time interval then
--- the result wrapped in 'Just' will be returned; otherwise, the child process
--- will be cancelled and 'Nothing' will be returned.
---
--- If an exception is raised in the child process then it is propagated to
--- the parent computation as well.
---
--- A cancellation of the child process doesn't lead to cancelling the parent process.
--- Then 'Nothing' is returned within the computation.
-timeoutProcess :: Double -> Process a -> Process (Maybe a)
-timeoutProcess timeout p =
-  do pid <- liftSimulation newProcessId
-     timeoutProcessUsingId timeout pid p
-
--- | Try to run the child process with the given identifier within the specified timeout.
--- If the process will finish successfully within this time interval then
--- the result wrapped in 'Just' will be returned; otherwise, the child process
--- will be cancelled and 'Nothing' will be returned.
---
--- If an exception is raised in the child process then it is propagated to
--- the parent computation as well.
---
--- A cancellation of the child process doesn't lead to cancelling the parent process.
--- Then 'Nothing' is returned within the computation.
-timeoutProcessUsingId :: Double -> ProcessId -> Process a -> Process (Maybe a)
-timeoutProcessUsingId timeout pid p =
-  do s <- liftSimulation newSignalSource
-     timeoutPid <- liftSimulation newProcessId
-     spawnProcessUsingId CancelChildAfterParent timeoutPid $
-       finallyProcess
-       (holdProcess timeout)
-       (liftEvent $
-        cancelProcessWithId pid)
-     spawnProcessUsingId CancelChildAfterParent pid $
-       do r <- liftIO $ newIORef Nothing
-          finallyProcess
-            (catchProcess
-             (do a <- p
-                 liftIO $ writeIORef r $ Just (Right a))
-             (\e ->
-               liftIO $ writeIORef r $ Just (Left e)))
-            (liftEvent $
-             do x <- liftIO $ readIORef r
-                triggerSignal s x)
-     x <- processAwait $ publishSignal s
-     case x of
-       Nothing -> return Nothing
-       Just (Right a) -> return (Just a)
-       Just (Left e) -> throwProcess e
-
--- | Yield to allow other 'Process' and 'Event' computations to run
--- at the current simulation time point.
-processYield :: Process ()
-processYield =
-  Process $ \pid ->
-  Cont $ \c ->
-  Event $ \p ->
-  invokeEvent p $
-  enqueueEvent (pointTime p) $
-  resumeCont c ()
-
--- | A computation that never computes the result. It behaves like a black hole for
--- the discontinuous process, although such a process can still be canceled outside
--- (see 'cancelProcessWithId'), but then only its finalization parts (see 'finallyProcess')
--- will be called, usually, to release the resources acquired before.
-neverProcess :: Process a
-neverProcess =
-  Process $ \pid ->
-  Cont $ \c ->
-  let signal = processCancelling pid
-  in handleSignal_ signal $ \_ ->
-     resumeCont c $ error "It must never be computed: neverProcess"
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Process
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- A value in the 'Process' monad represents a discontinuous process that 
+-- can suspend in any simulation time point and then resume later in the same 
+-- or another time point. 
+-- 
+-- The process of this type can involve the 'Event', 'Dynamics' and 'Simulation'
+-- computations. Moreover, a value in the @Process@ monad can be run within
+-- the @Event@ computation.
+--
+-- A value of the 'ProcessId' type is just an identifier of such a process.
+--
+module Simulation.Aivika.Internal.Process
+       (-- * Process Monad
+        ProcessId,
+        Process(..),
+        ProcessLift(..),
+        invokeProcess,
+        -- * Running Process
+        runProcess,
+        runProcessUsingId,
+        runProcessInStartTime,
+        runProcessInStartTimeUsingId,
+        runProcessInStopTime,
+        runProcessInStopTimeUsingId,
+        -- * Spawning Processes
+        spawnProcess,
+        spawnProcessUsingId,
+        -- * Enqueuing Process
+        enqueueProcess,
+        enqueueProcessUsingId,
+        -- * Creating Process Identifier
+        newProcessId,
+        processId,
+        processUsingId,
+        -- * Holding, Interrupting, Passivating and Canceling Process
+        holdProcess,
+        interruptProcess,
+        processInterrupted,
+        passivateProcess,
+        processPassive,
+        reactivateProcess,
+        cancelProcessWithId,
+        cancelProcess,
+        processCancelled,
+        processCancelling,
+        whenCancellingProcess,
+        -- * Awaiting Signal
+        processAwait,
+        -- * Yield of Process
+        processYield,
+        -- * Process Timeout
+        timeoutProcess,
+        timeoutProcessUsingId,
+        -- * Parallelizing Processes
+        processParallel,
+        processParallelUsingIds,
+        processParallel_,
+        processParallelUsingIds_,
+        -- * Exception Handling
+        catchProcess,
+        finallyProcess,
+        throwProcess,
+        -- * Utilities
+        zipProcessParallel,
+        zip3ProcessParallel,
+        unzipProcess,
+        -- * Memoizing Process
+        memoProcess,
+        -- * Never Ending Process
+        neverProcess) where
+
+import Data.Maybe
+import Data.IORef
+
+import Control.Exception
+import Control.Monad
+import Control.Monad.Trans
+import Control.Applicative
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Cont
+import Simulation.Aivika.Internal.Signal
+
+-- | Represents a process identifier.
+data ProcessId = 
+  ProcessId { processStarted :: IORef Bool,
+              processReactCont     :: IORef (Maybe (ContParams ())), 
+              processCancelSource  :: ContCancellationSource,
+              processInterruptRef  :: IORef Bool, 
+              processInterruptCont :: IORef (Maybe (ContParams ())), 
+              processInterruptVersion :: IORef Int }
+
+-- | Specifies a discontinuous process that can suspend at any time
+-- and then resume later.
+newtype Process a = Process (ProcessId -> Cont a)
+
+-- | A type class to lift the 'Process' computation to other computations.
+class ProcessLift m where
+  
+  -- | Lift the specified 'Process' computation to another computation.
+  liftProcess :: Process a -> m a
+
+instance ProcessLift Process where
+  liftProcess = id
+
+-- | Invoke the process computation.
+invokeProcess :: ProcessId -> Process a -> Cont a
+{-# INLINE invokeProcess #-}
+invokeProcess pid (Process m) = m pid
+
+-- | Hold the process for the specified time period.
+holdProcess :: Double -> Process ()
+holdProcess dt =
+  Process $ \pid ->
+  Cont $ \c ->
+  Event $ \p ->
+  do let x = processInterruptCont pid
+     writeIORef x $ Just c
+     writeIORef (processInterruptRef pid) False
+     v <- readIORef (processInterruptVersion pid)
+     invokeEvent p $
+       enqueueEvent (pointTime p + dt) $
+       Event $ \p ->
+       do v' <- readIORef (processInterruptVersion pid)
+          when (v == v') $ 
+            do writeIORef x Nothing
+               invokeEvent p $ resumeCont c ()
+
+-- | Interrupt a process with the specified identifier if the process
+-- is held by computation 'holdProcess'.
+interruptProcess :: ProcessId -> Event ()
+interruptProcess pid =
+  Event $ \p ->
+  do let x = processInterruptCont pid
+     a <- readIORef x
+     case a of
+       Nothing -> return ()
+       Just c ->
+         do writeIORef x Nothing
+            writeIORef (processInterruptRef pid) True
+            modifyIORef (processInterruptVersion pid) $ (+) 1
+            invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
+            
+-- | Test whether the process with the specified identifier was interrupted.
+processInterrupted :: ProcessId -> Event Bool
+processInterrupted pid =
+  Event $ \p ->
+  readIORef (processInterruptRef pid)
+
+-- | Passivate the process.
+passivateProcess :: Process ()
+passivateProcess =
+  Process $ \pid ->
+  Cont $ \c ->
+  Event $ \p ->
+  do let x = processReactCont pid
+     a <- readIORef x
+     case a of
+       Nothing -> writeIORef x $ Just c
+       Just _  -> error "Cannot passivate the process twice: passivateProcess"
+
+-- | Test whether the process with the specified identifier is passivated.
+processPassive :: ProcessId -> Event Bool
+processPassive pid =
+  Event $ \p ->
+  do let x = processReactCont pid
+     a <- readIORef x
+     return $ isJust a
+
+-- | Reactivate a process with the specified identifier.
+reactivateProcess :: ProcessId -> Event ()
+reactivateProcess pid =
+  Event $ \p ->
+  do let x = processReactCont pid
+     a <- readIORef x
+     case a of
+       Nothing -> 
+         return ()
+       Just c ->
+         do writeIORef x Nothing
+            invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
+
+-- | Prepare the processes identifier for running.
+processIdPrepare :: ProcessId -> Event ()
+processIdPrepare pid =
+  Event $ \p ->
+  do y <- readIORef (processStarted pid)
+     if y
+       then error $
+            "Another process with the specified identifier " ++
+            "has been started already: processIdPrepare"
+       else writeIORef (processStarted pid) True
+     let signal = processCancelling pid
+     invokeEvent p $
+       handleSignal_ signal $ \_ ->
+       do interruptProcess pid
+          reactivateProcess pid
+
+-- | Run immediately the process. A new 'ProcessId' identifier will be
+-- assigned to the process.
+--            
+-- To run the process at the specified time, you can use
+-- the 'enqueueProcess' function.
+runProcess :: Process () -> Event ()
+runProcess p =
+  do pid <- liftSimulation newProcessId
+     runProcessUsingId pid p
+             
+-- | Run immediately the process with the specified identifier.
+-- It will be more efficient than as you would specify the process identifier
+-- with help of the 'processUsingId' combinator and then would call 'runProcess'.
+--            
+-- To run the process at the specified time, you can use
+-- the 'enqueueProcessUsingId' function.
+runProcessUsingId :: ProcessId -> Process () -> Event ()
+runProcessUsingId pid p =
+  do processIdPrepare pid
+     runCont m cont econt ccont (processCancelSource pid) False
+       where cont  = return
+             econt = throwEvent
+             ccont = return
+             m = invokeProcess pid p
+
+-- | Run the process in the start time immediately involving all pending
+-- 'CurrentEvents' in the computation too.
+runProcessInStartTime :: Process () -> Simulation ()
+runProcessInStartTime = runEventInStartTime . runProcess
+
+-- | Run the process in the start time immediately using the specified identifier
+-- and involving all pending 'CurrentEvents' in the computation too.
+runProcessInStartTimeUsingId :: ProcessId -> Process () -> Simulation ()
+runProcessInStartTimeUsingId pid p =
+  runEventInStartTime $ runProcessUsingId pid p
+
+-- | Run the process in the final simulation time immediately involving all
+-- pending 'CurrentEvents' in the computation too.
+runProcessInStopTime :: Process () -> Simulation ()
+runProcessInStopTime = runEventInStopTime . runProcess
+
+-- | Run the process in the final simulation time immediately using 
+-- the specified identifier and involving all pending 'CurrentEvents'
+-- in the computation too.
+runProcessInStopTimeUsingId :: ProcessId -> Process () -> Simulation ()
+runProcessInStopTimeUsingId pid p =
+  runEventInStopTime $ runProcessUsingId pid p
+
+-- | Enqueue the process that will be then started at the specified time
+-- from the event queue.
+enqueueProcess :: Double -> Process () -> Event ()
+enqueueProcess t p =
+  enqueueEvent t $ runProcess p
+
+-- | Enqueue the process that will be then started at the specified time
+-- from the event queue.
+enqueueProcessUsingId :: Double -> ProcessId -> Process () -> Event ()
+enqueueProcessUsingId t pid p =
+  enqueueEvent t $ runProcessUsingId pid p
+
+-- | Return the current process identifier.
+processId :: Process ProcessId
+processId = Process return
+
+-- | Create a new process identifier.
+newProcessId :: Simulation ProcessId
+newProcessId =
+  do x <- liftIO $ newIORef Nothing
+     y <- liftIO $ newIORef False
+     c <- newContCancellationSource
+     i <- liftIO $ newIORef False
+     z <- liftIO $ newIORef Nothing
+     v <- liftIO $ newIORef 0
+     return ProcessId { processStarted = y,
+                        processReactCont     = x, 
+                        processCancelSource  = c, 
+                        processInterruptRef  = i,
+                        processInterruptCont = z, 
+                        processInterruptVersion = v }
+
+-- | Cancel a process with the specified identifier, interrupting it if needed.
+cancelProcessWithId :: ProcessId -> Event ()
+cancelProcessWithId pid = contCancellationInitiate (processCancelSource pid)
+
+-- | The process cancels itself.
+cancelProcess :: Process a
+cancelProcess =
+  do pid <- processId
+     liftEvent $ cancelProcessWithId pid
+     throwProcess $
+       (error "The process must be cancelled already: cancelProcess." :: SomeException)
+
+-- | Test whether the process with the specified identifier was cancelled.
+processCancelled :: ProcessId -> Event Bool
+processCancelled pid = contCancellationInitiated (processCancelSource pid)
+
+-- | Return a signal that notifies about cancelling the process with 
+-- the specified identifier.
+processCancelling :: ProcessId -> Signal ()
+processCancelling pid = contCancellationInitiating (processCancelSource pid)
+
+-- | Register a handler that will be invoked in case of cancelling the current process.
+whenCancellingProcess :: Event () -> Process ()
+whenCancellingProcess h =
+  Process $ \pid ->
+  liftEvent $
+  handleSignal_ (processCancelling pid) $ \() -> h
+
+instance Eq ProcessId where
+  x == y = processReactCont x == processReactCont y    -- for the references are unique
+
+instance Monad Process where
+  return  = returnP
+  m >>= k = bindP m k
+
+instance Functor Process where
+  fmap = liftM
+
+instance Applicative Process where
+  pure = return
+  (<*>) = ap
+
+instance ParameterLift Process where
+  liftParameter = liftPP
+
+instance SimulationLift Process where
+  liftSimulation = liftSP
+  
+instance DynamicsLift Process where
+  liftDynamics = liftDP
+  
+instance EventLift Process where
+  liftEvent = liftEP
+  
+instance MonadIO Process where
+  liftIO = liftIOP
+  
+returnP :: a -> Process a
+{-# INLINE returnP #-}
+returnP a = Process $ \pid -> return a
+
+bindP :: Process a -> (a -> Process b) -> Process b
+{-# INLINE bindP #-}
+bindP (Process m) k = 
+  Process $ \pid -> 
+  do a <- m pid
+     let Process m' = k a
+     m' pid
+
+liftPP :: Parameter a -> Process a
+{-# INLINE liftPP #-}
+liftPP m = Process $ \pid -> liftParameter m
+
+liftSP :: Simulation a -> Process a
+{-# INLINE liftSP #-}
+liftSP m = Process $ \pid -> liftSimulation m
+
+liftDP :: Dynamics a -> Process a
+{-# INLINE liftDP #-}
+liftDP m = Process $ \pid -> liftDynamics m
+
+liftEP :: Event a -> Process a
+{-# INLINE liftEP #-}
+liftEP m = Process $ \pid -> liftEvent m
+
+liftIOP :: IO a -> Process a
+{-# INLINE liftIOP #-}
+liftIOP m = Process $ \pid -> liftIO m
+
+-- | Exception handling within 'Process' computations.
+catchProcess :: Exception e => Process a -> (e -> Process a) -> Process a
+catchProcess (Process m) h =
+  Process $ \pid ->
+  catchCont (m pid) $ \e ->
+  let Process m' = h e in m' pid
+                           
+-- | A computation with finalization part.
+finallyProcess :: Process a -> Process b -> Process a
+finallyProcess (Process m) (Process m') =
+  Process $ \pid ->
+  finallyCont (m pid) (m' pid)
+
+-- | Throw the exception with the further exception handling.
+--
+-- By some reason, an exception raised with help of the standard 'throw' function
+-- is not handled properly within 'Process' computation, altough it will be still handled 
+-- if it will be wrapped in the 'IO' monad. Therefore, you should use specialised
+-- functions like the stated one that use the 'throw' function but within the 'IO' computation,
+-- which allows already handling the exception.
+throwProcess :: Exception e => e -> Process a
+throwProcess = liftIO . throw
+
+-- | Execute the specified computations in parallel within
+-- the current computation and return their results. The cancellation
+-- of any of the nested computations affects the current computation.
+-- The exception raised in any of the nested computations is propagated
+-- to the current computation as well.
+--
+-- Here word @parallel@ literally means that the computations are
+-- actually executed on a single operating system thread but
+-- they are processed simultaneously by the event queue.
+--
+-- New 'ProcessId' identifiers will be assigned to the started processes.
+processParallel :: [Process a] -> Process [a]
+processParallel xs =
+  liftSimulation (processParallelCreateIds xs) >>= processParallelUsingIds 
+
+-- | Like 'processParallel' but allows specifying the process identifiers.
+-- It will be more efficient than as you would specify the process identifiers
+-- with help of the 'processUsingId' combinator and then would call 'processParallel'.
+processParallelUsingIds :: [(ProcessId, Process a)] -> Process [a]
+processParallelUsingIds xs =
+  Process $ \pid ->
+  do liftEvent $ processParallelPrepare xs
+     contParallel $
+       flip map xs $ \(pid, m) ->
+       (invokeProcess pid m, processCancelSource pid)
+
+-- | Like 'processParallel' but ignores the result.
+processParallel_ :: [Process a] -> Process ()
+processParallel_ xs =
+  liftSimulation (processParallelCreateIds xs) >>= processParallelUsingIds_ 
+
+-- | Like 'processParallelUsingIds' but ignores the result.
+processParallelUsingIds_ :: [(ProcessId, Process a)] -> Process ()
+processParallelUsingIds_ xs =
+  Process $ \pid ->
+  do liftEvent $ processParallelPrepare xs
+     contParallel_ $
+       flip map xs $ \(pid, m) ->
+       (invokeProcess pid m, processCancelSource pid)
+
+-- | Create the new process identifiers.
+processParallelCreateIds :: [Process a] -> Simulation [(ProcessId, Process a)]
+processParallelCreateIds xs =
+  do pids <- liftSimulation $ forM xs $ const newProcessId
+     return $ zip pids xs
+
+-- | Prepare the processes for parallel execution.
+processParallelPrepare :: [(ProcessId, Process a)] -> Event ()
+processParallelPrepare xs =
+  Event $ \p ->
+  forM_ xs $ invokeEvent p . processIdPrepare . fst
+
+-- | Allow calling the process with the specified identifier.
+-- It creates a nested process when canceling any of two, or raising an
+-- @IO@ exception in any of the both, affects the 'Process' computation.
+--
+-- At the same time, the interruption has no such effect as it requires
+-- explicit specifying the 'ProcessId' identifier of the nested process itself,
+-- that is the nested process cannot be interrupted using only the parent
+-- process identifier.
+processUsingId :: ProcessId -> Process a -> Process a
+processUsingId pid x =
+  Process $ \pid' ->
+  do liftEvent $ processIdPrepare pid
+     rerunCont (invokeProcess pid x) (processCancelSource pid)
+
+-- | Spawn the child process specifying how the child and parent processes
+-- should be cancelled in case of need.
+spawnProcess :: ContCancellation -> Process () -> Process ()
+spawnProcess cancellation x =
+  do pid <- liftSimulation newProcessId
+     spawnProcessUsingId cancellation pid x
+
+-- | Spawn the child process specifying how the child and parent processes
+-- should be cancelled in case of need.
+spawnProcessUsingId :: ContCancellation -> ProcessId -> Process () -> Process ()
+spawnProcessUsingId cancellation pid x =
+  Process $ \pid' ->
+  do liftEvent $ processIdPrepare pid
+     spawnCont cancellation (invokeProcess pid x) (processCancelSource pid)
+
+-- | Await the signal.
+processAwait :: Signal a -> Process a
+processAwait signal =
+  Process $ \pid -> contAwait signal
+
+-- | The result of memoization.
+data MemoResult a = MemoComputed a
+                  | MemoError IOException
+                  | MemoCancelled
+
+-- | Memoize the process so that it would always return the same value
+-- within the simulation run.
+memoProcess :: Process a -> Simulation (Process a)
+memoProcess x =
+  do started  <- liftIO $ newIORef False
+     computed <- newSignalSource
+     value    <- liftIO $ newIORef Nothing
+     let result =
+           do Just x <- liftIO $ readIORef value
+              case x of
+                MemoComputed a -> return a
+                MemoError e    -> throwProcess e
+                MemoCancelled  -> cancelProcess
+     return $
+       do v <- liftIO $ readIORef value
+          case v of
+            Just _ -> result
+            Nothing ->
+              do f <- liftIO $ readIORef started
+                 case f of
+                   True ->
+                     do processAwait $ publishSignal computed
+                        result
+                   False ->
+                     do liftIO $ writeIORef started True
+                        r <- liftIO $ newIORef MemoCancelled
+                        finallyProcess
+                          (catchProcess
+                           (do a <- x    -- compute only once!
+                               liftIO $ writeIORef r (MemoComputed a))
+                           (\e ->
+                             liftIO $ writeIORef r (MemoError e)))
+                          (liftEvent $
+                           do liftIO $
+                                do x <- readIORef r
+                                   writeIORef value (Just x)
+                              triggerSignal computed ())
+                        result
+
+-- | Zip two parallel processes waiting for the both.
+zipProcessParallel :: Process a -> Process b -> Process (a, b)
+zipProcessParallel x y =
+  do [Left a, Right b] <- processParallel [fmap Left x, fmap Right y]
+     return (a, b)
+
+-- | Zip three parallel processes waiting for their results.
+zip3ProcessParallel :: Process a -> Process b -> Process c -> Process (a, b, c)
+zip3ProcessParallel x y z =
+  do [Left a,
+      Right (Left b),
+      Right (Right c)] <-
+       processParallel [fmap Left x,
+                        fmap (Right . Left) y,
+                        fmap (Right . Right) z]
+     return (a, b, c)
+
+-- | Unzip the process using memoization so that the both returned
+-- processes could be applied independently, although they will refer
+-- to the same pair of values.
+unzipProcess :: Process (a, b) -> Simulation (Process a, Process b)
+unzipProcess xy =
+  do xy' <- memoProcess xy
+     return (fmap fst xy', fmap snd xy')
+
+-- | Try to run the child process within the specified timeout.
+-- If the process will finish successfully within this time interval then
+-- the result wrapped in 'Just' will be returned; otherwise, the child process
+-- will be cancelled and 'Nothing' will be returned.
+--
+-- If an exception is raised in the child process then it is propagated to
+-- the parent computation as well.
+--
+-- A cancellation of the child process doesn't lead to cancelling the parent process.
+-- Then 'Nothing' is returned within the computation.
+timeoutProcess :: Double -> Process a -> Process (Maybe a)
+timeoutProcess timeout p =
+  do pid <- liftSimulation newProcessId
+     timeoutProcessUsingId timeout pid p
+
+-- | Try to run the child process with the given identifier within the specified timeout.
+-- If the process will finish successfully within this time interval then
+-- the result wrapped in 'Just' will be returned; otherwise, the child process
+-- will be cancelled and 'Nothing' will be returned.
+--
+-- If an exception is raised in the child process then it is propagated to
+-- the parent computation as well.
+--
+-- A cancellation of the child process doesn't lead to cancelling the parent process.
+-- Then 'Nothing' is returned within the computation.
+timeoutProcessUsingId :: Double -> ProcessId -> Process a -> Process (Maybe a)
+timeoutProcessUsingId timeout pid p =
+  do s <- liftSimulation newSignalSource
+     timeoutPid <- liftSimulation newProcessId
+     spawnProcessUsingId CancelChildAfterParent timeoutPid $
+       finallyProcess
+       (holdProcess timeout)
+       (liftEvent $
+        cancelProcessWithId pid)
+     spawnProcessUsingId CancelChildAfterParent pid $
+       do r <- liftIO $ newIORef Nothing
+          finallyProcess
+            (catchProcess
+             (do a <- p
+                 liftIO $ writeIORef r $ Just (Right a))
+             (\e ->
+               liftIO $ writeIORef r $ Just (Left e)))
+            (liftEvent $
+             do x <- liftIO $ readIORef r
+                triggerSignal s x)
+     x <- processAwait $ publishSignal s
+     case x of
+       Nothing -> return Nothing
+       Just (Right a) -> return (Just a)
+       Just (Left (SomeException e)) -> throwProcess e
+
+-- | Yield to allow other 'Process' and 'Event' computations to run
+-- at the current simulation time point.
+processYield :: Process ()
+processYield =
+  Process $ \pid ->
+  Cont $ \c ->
+  Event $ \p ->
+  invokeEvent p $
+  enqueueEvent (pointTime p) $
+  resumeCont c ()
+
+-- | A computation that never computes the result. It behaves like a black hole for
+-- the discontinuous process, although such a process can still be canceled outside
+-- (see 'cancelProcessWithId'), but then only its finalization parts (see 'finallyProcess')
+-- will be called, usually, to release the resources acquired before.
+neverProcess :: Process a
+neverProcess =
+  Process $ \pid ->
+  Cont $ \c ->
+  let signal = processCancelling pid
+  in handleSignal_ signal $ \_ ->
+     resumeCont c $ error "It must never be computed: neverProcess"
diff --git a/Simulation/Aivika/Internal/Signal.hs b/Simulation/Aivika/Internal/Signal.hs
--- a/Simulation/Aivika/Internal/Signal.hs
+++ b/Simulation/Aivika/Internal/Signal.hs
@@ -1,380 +1,380 @@
-
--- |
--- Module     : Simulation.Aivika.Internal.Signal
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the signal which we can subscribe handlers to. 
--- These handlers can be disposed. The signal is triggered in the 
--- current time point actuating the corresponded computations from 
--- the handlers. 
---
-
-module Simulation.Aivika.Internal.Signal
-       (-- * Handling and Triggering Signal
-        Signal(..),
-        handleSignal_,
-        SignalSource,
-        newSignalSource,
-        publishSignal,
-        triggerSignal,
-        -- * Useful Combinators
-        mapSignal,
-        mapSignalM,
-        apSignal,
-        filterSignal,
-        filterSignalM,
-        emptySignal,
-        merge2Signals,
-        merge3Signals,
-        merge4Signals,
-        merge5Signals,
-        -- * Signal Arriving
-        arrivalSignal,
-        -- * Creating Signal in Time Points
-        newSignalInTimes,
-        newSignalInIntegTimes,
-        newSignalInStartTime,
-        newSignalInStopTime,
-        -- * Signal History
-        SignalHistory,
-        signalHistorySignal,
-        newSignalHistory,
-        newSignalHistoryStartingWith,
-        readSignalHistory,
-        -- * Signalable Computations
-        Signalable(..),
-        signalableChanged,
-        emptySignalable,
-        appendSignalable) where
-
-import Data.IORef
-import Data.Monoid
-import Data.List
-import Data.Array
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Arrival
-
-import qualified Simulation.Aivika.Vector as V
-import qualified Simulation.Aivika.Vector.Unboxed as UV
-
--- | The signal source that can publish its signal.
-data SignalSource a =
-  SignalSource { publishSignal :: Signal a,
-                                  -- ^ Publish the signal.
-                 triggerSignal :: a -> Event ()
-                                  -- ^ Trigger the signal actuating 
-                                  -- all its handlers at the current 
-                                  -- simulation time point.
-               }
-  
--- | The signal that can have disposable handlers.  
-data Signal a =
-  Signal { handleSignal :: (a -> Event ()) -> Event DisposableEvent
-           -- ^ Subscribe the handler to the specified 
-           -- signal and return a nested computation
-           -- within a disposable object that, being applied,
-           -- unsubscribes the handler from this signal.
-         }
-  
--- | The queue of signal handlers.
-data SignalHandlerQueue a =
-  SignalHandlerQueue { queueList :: IORef [SignalHandler a] }
-  
--- | It contains the information about the disposable queue handler.
-data SignalHandler a =
-  SignalHandler { handlerComp :: a -> Event (),
-                  handlerRef  :: IORef () }
-
-instance Eq (SignalHandler a) where
-  x == y = (handlerRef x) == (handlerRef y)
-
--- | Subscribe the handler to the specified signal forever.
--- To subscribe the disposable handlers, use function 'handleSignal'.
-handleSignal_ :: Signal a -> (a -> Event ()) -> Event ()
-handleSignal_ signal h = 
-  do x <- handleSignal signal h
-     return ()
-     
--- | Create a new signal source.
-newSignalSource :: Simulation (SignalSource a)
-newSignalSource =
-  Simulation $ \r ->
-  do list <- newIORef []
-     let queue  = SignalHandlerQueue { queueList = list }
-         signal = Signal { handleSignal = handle }
-         source = SignalSource { publishSignal = signal, 
-                                 triggerSignal = trigger }
-         handle h =
-           Event $ \p ->
-           do x <- enqueueSignalHandler queue h
-              return $
-                DisposableEvent $
-                Event $ \p -> dequeueSignalHandler queue x
-         trigger a =
-           Event $ \p -> triggerSignalHandlers queue a p
-     return source
-
--- | Trigger all next signal handlers.
-triggerSignalHandlers :: SignalHandlerQueue a -> a -> Point -> IO ()
-{-# INLINE triggerSignalHandlers #-}
-triggerSignalHandlers q a p =
-  do hs <- readIORef (queueList q)
-     forM_ hs $ \h ->
-       invokeEvent p $ handlerComp h a
-            
--- | Enqueue the handler and return its representative in the queue.            
-enqueueSignalHandler :: SignalHandlerQueue a -> (a -> Event ()) -> IO (SignalHandler a)
-{-# INLINE enqueueSignalHandler #-}
-enqueueSignalHandler q h = 
-  do r <- newIORef ()
-     let handler = SignalHandler { handlerComp = h,
-                                   handlerRef  = r }
-     modifyIORef (queueList q) (handler :)
-     return handler
-
--- | Dequeue the handler representative.
-dequeueSignalHandler :: SignalHandlerQueue a -> SignalHandler a -> IO ()
-{-# INLINE dequeueSignalHandler #-}
-dequeueSignalHandler q h = 
-  modifyIORef (queueList q) (delete h)
-
-instance Functor Signal where
-  fmap = mapSignal
-  
-instance Monoid (Signal a) where 
-  
-  mempty = emptySignal
-  
-  mappend = merge2Signals
-  
-  mconcat [] = emptySignal
-  mconcat [x1] = x1
-  mconcat [x1, x2] = merge2Signals x1 x2
-  mconcat [x1, x2, x3] = merge3Signals x1 x2 x3
-  mconcat [x1, x2, x3, x4] = merge4Signals x1 x2 x3 x4
-  mconcat [x1, x2, x3, x4, x5] = merge5Signals x1 x2 x3 x4 x5
-  mconcat (x1 : x2 : x3 : x4 : x5 : xs) = 
-    mconcat $ merge5Signals x1 x2 x3 x4 x5 : xs
-  
--- | Map the signal according the specified function.
-mapSignal :: (a -> b) -> Signal a -> Signal b
-mapSignal f m =
-  Signal { handleSignal = \h -> 
-            handleSignal m $ h . f }
-
--- | Filter only those signal values that satisfy to 
--- the specified predicate.
-filterSignal :: (a -> Bool) -> Signal a -> Signal a
-filterSignal p m =
-  Signal { handleSignal = \h ->
-            handleSignal m $ \a ->
-            when (p a) $ h a }
-  
--- | Filter only those signal values that satisfy to 
--- the specified predicate.
-filterSignalM :: (a -> Event Bool) -> Signal a -> Signal a
-filterSignalM p m =
-  Signal { handleSignal = \h ->
-            handleSignal m $ \a ->
-            do x <- p a
-               when x $ h a }
-  
--- | Merge two signals.
-merge2Signals :: Signal a -> Signal a -> Signal a
-merge2Signals m1 m2 =
-  Signal { handleSignal = \h ->
-            do x1 <- handleSignal m1 h
-               x2 <- handleSignal m2 h
-               return $ x1 <> x2 }
-
--- | Merge three signals.
-merge3Signals :: Signal a -> Signal a -> Signal a -> Signal a
-merge3Signals m1 m2 m3 =
-  Signal { handleSignal = \h ->
-            do x1 <- handleSignal m1 h
-               x2 <- handleSignal m2 h
-               x3 <- handleSignal m3 h
-               return $ x1 <> x2 <> x3 }
-
--- | Merge four signals.
-merge4Signals :: Signal a -> Signal a -> Signal a -> 
-                 Signal a -> Signal a
-merge4Signals m1 m2 m3 m4 =
-  Signal { handleSignal = \h ->
-            do x1 <- handleSignal m1 h
-               x2 <- handleSignal m2 h
-               x3 <- handleSignal m3 h
-               x4 <- handleSignal m4 h
-               return $ x1 <> x2 <> x3 <> x4 }
-           
--- | Merge five signals.
-merge5Signals :: Signal a -> Signal a -> Signal a -> 
-                 Signal a -> Signal a -> Signal a
-merge5Signals m1 m2 m3 m4 m5 =
-  Signal { handleSignal = \h ->
-            do x1 <- handleSignal m1 h
-               x2 <- handleSignal m2 h
-               x3 <- handleSignal m3 h
-               x4 <- handleSignal m4 h
-               x5 <- handleSignal m5 h
-               return $ x1 <> x2 <> x3 <> x4 <> x5 }
-
--- | Compose the signal.
-mapSignalM :: (a -> Event b) -> Signal a -> Signal b
-mapSignalM f m =
-  Signal { handleSignal = \h ->
-            handleSignal m (f >=> h) }
-  
--- | Transform the signal.
-apSignal :: Event (a -> b) -> Signal a -> Signal b
-apSignal f m =
-  Signal { handleSignal = \h ->
-            handleSignal m $ \a -> do { x <- f; h (x a) } }
-
--- | An empty signal which is never triggered.
-emptySignal :: Signal a
-emptySignal =
-  Signal { handleSignal = \h -> return mempty }
-                                    
--- | Represents the history of the signal values.
-data SignalHistory a =
-  SignalHistory { signalHistorySignal :: Signal a,  
-                  -- ^ The signal for which the history is created.
-                  signalHistoryTimes  :: UV.Vector Double,
-                  signalHistoryValues :: V.Vector a }
-
--- | Create a history of the signal values.
-newSignalHistory :: Signal a -> Event (SignalHistory a)
-newSignalHistory =
-  newSignalHistoryStartingWith Nothing
-
--- | Create a history of the signal values starting with
--- the optional initial value.
-newSignalHistoryStartingWith :: Maybe a -> Signal a -> Event (SignalHistory a)
-newSignalHistoryStartingWith init signal =
-  Event $ \p ->
-  do ts <- UV.newVector
-     xs <- V.newVector
-     case init of
-       Nothing -> return ()
-       Just a ->
-         do UV.appendVector ts (pointTime p)
-            V.appendVector xs a
-     invokeEvent p $
-       handleSignal_ signal $ \a ->
-       Event $ \p ->
-       do UV.appendVector ts (pointTime p)
-          V.appendVector xs a
-     return SignalHistory { signalHistorySignal = signal,
-                            signalHistoryTimes  = ts,
-                            signalHistoryValues = xs }
-       
--- | Read the history of signal values.
-readSignalHistory :: SignalHistory a -> Event (Array Int Double, Array Int a)
-readSignalHistory history =
-  do xs <- liftIO $ UV.freezeVector (signalHistoryTimes history)
-     ys <- liftIO $ V.freezeVector (signalHistoryValues history)
-     return (xs, ys)     
-     
--- | Trigger the signal with the current time.
-triggerSignalWithCurrentTime :: SignalSource Double -> Event ()
-triggerSignalWithCurrentTime s =
-  Event $ \p -> invokeEvent p $ triggerSignal s (pointTime p)
-
--- | Return a signal that is triggered in the specified time points.
-newSignalInTimes :: [Double] -> Event (Signal Double)
-newSignalInTimes xs =
-  do s <- liftSimulation newSignalSource
-     enqueueEventWithTimes xs $ triggerSignalWithCurrentTime s
-     return $ publishSignal s
-       
--- | Return a signal that is triggered in the integration time points.
--- It should be called with help of 'runEventInStartTime'.
-newSignalInIntegTimes :: Event (Signal Double)
-newSignalInIntegTimes =
-  do s <- liftSimulation newSignalSource
-     enqueueEventWithIntegTimes $ triggerSignalWithCurrentTime s
-     return $ publishSignal s
-     
--- | Return a signal that is triggered in the start time.
--- It should be called with help of 'runEventInStartTime'.
-newSignalInStartTime :: Event (Signal Double)
-newSignalInStartTime =
-  do s <- liftSimulation newSignalSource
-     t <- liftParameter starttime
-     enqueueEvent t $ triggerSignalWithCurrentTime s
-     return $ publishSignal s
-
--- | Return a signal that is triggered in the final time.
-newSignalInStopTime :: Event (Signal Double)
-newSignalInStopTime =
-  do s <- liftSimulation newSignalSource
-     t <- liftParameter stoptime
-     enqueueEvent t $ triggerSignalWithCurrentTime s
-     return $ publishSignal s
-
--- | Describes a computation that also signals when changing its value.
-data Signalable a =
-  Signalable { readSignalable :: Event a,
-               -- ^ Return a computation of the value.
-               signalableChanged_ :: Signal ()
-               -- ^ Return a signal notifying that the value has changed
-               -- but without providing the information about the changed value.
-             }
-
--- | Return a signal notifying that the value has changed.
-signalableChanged :: Signalable a -> Signal a
-signalableChanged x = mapSignalM (const $ readSignalable x) $ signalableChanged_ x
-
-instance Functor Signalable where
-  fmap f x = x { readSignalable = fmap f (readSignalable x) }
-
-instance Monoid a => Monoid (Signalable a) where
-
-  mempty = emptySignalable
-  mappend = appendSignalable
-
--- | Return an identity.
-emptySignalable :: Monoid a => Signalable a
-emptySignalable =
-  Signalable { readSignalable = return mempty,
-               signalableChanged_ = mempty }
-
--- | An associative operation.
-appendSignalable :: Monoid a => Signalable a -> Signalable a -> Signalable a
-appendSignalable m1 m2 =
-  Signalable { readSignalable = liftM2 (<>) (readSignalable m1) (readSignalable m2),
-               signalableChanged_ = (signalableChanged_ m1) <> (signalableChanged_ m2) }
-
--- | Transform a signal so that the resulting signal returns a sequence of arrivals
--- saving the information about the time points at which the original signal was received.
-arrivalSignal :: Signal a -> Signal (Arrival a)
-arrivalSignal m = 
-  Signal { handleSignal = \h ->
-             Event $ \p ->
-             do r <- newIORef Nothing
-                invokeEvent p $
-                  handleSignal m $ \a ->
-                  Event $ \p ->
-                  do t0 <- readIORef r
-                     let t = pointTime p
-                     writeIORef r (Just t)
-                     invokeEvent p $
-                       h Arrival { arrivalValue = a,
-                                   arrivalTime  = t,
-                                   arrivalDelay =
-                                     case t0 of
-                                       Nothing -> Nothing
-                                       Just t0 -> Just (t - t0) }
-         }
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Signal
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the signal which we can subscribe handlers to. 
+-- These handlers can be disposed. The signal is triggered in the 
+-- current time point actuating the corresponded computations from 
+-- the handlers. 
+--
+
+module Simulation.Aivika.Internal.Signal
+       (-- * Handling and Triggering Signal
+        Signal(..),
+        handleSignal_,
+        SignalSource,
+        newSignalSource,
+        publishSignal,
+        triggerSignal,
+        -- * Useful Combinators
+        mapSignal,
+        mapSignalM,
+        apSignal,
+        filterSignal,
+        filterSignalM,
+        emptySignal,
+        merge2Signals,
+        merge3Signals,
+        merge4Signals,
+        merge5Signals,
+        -- * Signal Arriving
+        arrivalSignal,
+        -- * Creating Signal in Time Points
+        newSignalInTimes,
+        newSignalInIntegTimes,
+        newSignalInStartTime,
+        newSignalInStopTime,
+        -- * Signal History
+        SignalHistory,
+        signalHistorySignal,
+        newSignalHistory,
+        newSignalHistoryStartingWith,
+        readSignalHistory,
+        -- * Signalable Computations
+        Signalable(..),
+        signalableChanged,
+        emptySignalable,
+        appendSignalable) where
+
+import Data.IORef
+import Data.Monoid
+import Data.List
+import Data.Array
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Arrival
+
+import qualified Simulation.Aivika.Vector as V
+import qualified Simulation.Aivika.Vector.Unboxed as UV
+
+-- | The signal source that can publish its signal.
+data SignalSource a =
+  SignalSource { publishSignal :: Signal a,
+                                  -- ^ Publish the signal.
+                 triggerSignal :: a -> Event ()
+                                  -- ^ Trigger the signal actuating 
+                                  -- all its handlers at the current 
+                                  -- simulation time point.
+               }
+  
+-- | The signal that can have disposable handlers.  
+data Signal a =
+  Signal { handleSignal :: (a -> Event ()) -> Event DisposableEvent
+           -- ^ Subscribe the handler to the specified 
+           -- signal and return a nested computation
+           -- within a disposable object that, being applied,
+           -- unsubscribes the handler from this signal.
+         }
+  
+-- | The queue of signal handlers.
+data SignalHandlerQueue a =
+  SignalHandlerQueue { queueList :: IORef [SignalHandler a] }
+  
+-- | It contains the information about the disposable queue handler.
+data SignalHandler a =
+  SignalHandler { handlerComp :: a -> Event (),
+                  handlerRef  :: IORef () }
+
+instance Eq (SignalHandler a) where
+  x == y = (handlerRef x) == (handlerRef y)
+
+-- | Subscribe the handler to the specified signal forever.
+-- To subscribe the disposable handlers, use function 'handleSignal'.
+handleSignal_ :: Signal a -> (a -> Event ()) -> Event ()
+handleSignal_ signal h = 
+  do x <- handleSignal signal h
+     return ()
+     
+-- | Create a new signal source.
+newSignalSource :: Simulation (SignalSource a)
+newSignalSource =
+  Simulation $ \r ->
+  do list <- newIORef []
+     let queue  = SignalHandlerQueue { queueList = list }
+         signal = Signal { handleSignal = handle }
+         source = SignalSource { publishSignal = signal, 
+                                 triggerSignal = trigger }
+         handle h =
+           Event $ \p ->
+           do x <- enqueueSignalHandler queue h
+              return $
+                DisposableEvent $
+                Event $ \p -> dequeueSignalHandler queue x
+         trigger a =
+           Event $ \p -> triggerSignalHandlers queue a p
+     return source
+
+-- | Trigger all next signal handlers.
+triggerSignalHandlers :: SignalHandlerQueue a -> a -> Point -> IO ()
+{-# INLINE triggerSignalHandlers #-}
+triggerSignalHandlers q a p =
+  do hs <- readIORef (queueList q)
+     forM_ hs $ \h ->
+       invokeEvent p $ handlerComp h a
+            
+-- | Enqueue the handler and return its representative in the queue.            
+enqueueSignalHandler :: SignalHandlerQueue a -> (a -> Event ()) -> IO (SignalHandler a)
+{-# INLINE enqueueSignalHandler #-}
+enqueueSignalHandler q h = 
+  do r <- newIORef ()
+     let handler = SignalHandler { handlerComp = h,
+                                   handlerRef  = r }
+     modifyIORef (queueList q) (handler :)
+     return handler
+
+-- | Dequeue the handler representative.
+dequeueSignalHandler :: SignalHandlerQueue a -> SignalHandler a -> IO ()
+{-# INLINE dequeueSignalHandler #-}
+dequeueSignalHandler q h = 
+  modifyIORef (queueList q) (delete h)
+
+instance Functor Signal where
+  fmap = mapSignal
+  
+instance Monoid (Signal a) where 
+  
+  mempty = emptySignal
+  
+  mappend = merge2Signals
+  
+  mconcat [] = emptySignal
+  mconcat [x1] = x1
+  mconcat [x1, x2] = merge2Signals x1 x2
+  mconcat [x1, x2, x3] = merge3Signals x1 x2 x3
+  mconcat [x1, x2, x3, x4] = merge4Signals x1 x2 x3 x4
+  mconcat [x1, x2, x3, x4, x5] = merge5Signals x1 x2 x3 x4 x5
+  mconcat (x1 : x2 : x3 : x4 : x5 : xs) = 
+    mconcat $ merge5Signals x1 x2 x3 x4 x5 : xs
+  
+-- | Map the signal according the specified function.
+mapSignal :: (a -> b) -> Signal a -> Signal b
+mapSignal f m =
+  Signal { handleSignal = \h -> 
+            handleSignal m $ h . f }
+
+-- | Filter only those signal values that satisfy to 
+-- the specified predicate.
+filterSignal :: (a -> Bool) -> Signal a -> Signal a
+filterSignal p m =
+  Signal { handleSignal = \h ->
+            handleSignal m $ \a ->
+            when (p a) $ h a }
+  
+-- | Filter only those signal values that satisfy to 
+-- the specified predicate.
+filterSignalM :: (a -> Event Bool) -> Signal a -> Signal a
+filterSignalM p m =
+  Signal { handleSignal = \h ->
+            handleSignal m $ \a ->
+            do x <- p a
+               when x $ h a }
+  
+-- | Merge two signals.
+merge2Signals :: Signal a -> Signal a -> Signal a
+merge2Signals m1 m2 =
+  Signal { handleSignal = \h ->
+            do x1 <- handleSignal m1 h
+               x2 <- handleSignal m2 h
+               return $ x1 <> x2 }
+
+-- | Merge three signals.
+merge3Signals :: Signal a -> Signal a -> Signal a -> Signal a
+merge3Signals m1 m2 m3 =
+  Signal { handleSignal = \h ->
+            do x1 <- handleSignal m1 h
+               x2 <- handleSignal m2 h
+               x3 <- handleSignal m3 h
+               return $ x1 <> x2 <> x3 }
+
+-- | Merge four signals.
+merge4Signals :: Signal a -> Signal a -> Signal a -> 
+                 Signal a -> Signal a
+merge4Signals m1 m2 m3 m4 =
+  Signal { handleSignal = \h ->
+            do x1 <- handleSignal m1 h
+               x2 <- handleSignal m2 h
+               x3 <- handleSignal m3 h
+               x4 <- handleSignal m4 h
+               return $ x1 <> x2 <> x3 <> x4 }
+           
+-- | Merge five signals.
+merge5Signals :: Signal a -> Signal a -> Signal a -> 
+                 Signal a -> Signal a -> Signal a
+merge5Signals m1 m2 m3 m4 m5 =
+  Signal { handleSignal = \h ->
+            do x1 <- handleSignal m1 h
+               x2 <- handleSignal m2 h
+               x3 <- handleSignal m3 h
+               x4 <- handleSignal m4 h
+               x5 <- handleSignal m5 h
+               return $ x1 <> x2 <> x3 <> x4 <> x5 }
+
+-- | Compose the signal.
+mapSignalM :: (a -> Event b) -> Signal a -> Signal b
+mapSignalM f m =
+  Signal { handleSignal = \h ->
+            handleSignal m (f >=> h) }
+  
+-- | Transform the signal.
+apSignal :: Event (a -> b) -> Signal a -> Signal b
+apSignal f m =
+  Signal { handleSignal = \h ->
+            handleSignal m $ \a -> do { x <- f; h (x a) } }
+
+-- | An empty signal which is never triggered.
+emptySignal :: Signal a
+emptySignal =
+  Signal { handleSignal = \h -> return mempty }
+                                    
+-- | Represents the history of the signal values.
+data SignalHistory a =
+  SignalHistory { signalHistorySignal :: Signal a,  
+                  -- ^ The signal for which the history is created.
+                  signalHistoryTimes  :: UV.Vector Double,
+                  signalHistoryValues :: V.Vector a }
+
+-- | Create a history of the signal values.
+newSignalHistory :: Signal a -> Event (SignalHistory a)
+newSignalHistory =
+  newSignalHistoryStartingWith Nothing
+
+-- | Create a history of the signal values starting with
+-- the optional initial value.
+newSignalHistoryStartingWith :: Maybe a -> Signal a -> Event (SignalHistory a)
+newSignalHistoryStartingWith init signal =
+  Event $ \p ->
+  do ts <- UV.newVector
+     xs <- V.newVector
+     case init of
+       Nothing -> return ()
+       Just a ->
+         do UV.appendVector ts (pointTime p)
+            V.appendVector xs a
+     invokeEvent p $
+       handleSignal_ signal $ \a ->
+       Event $ \p ->
+       do UV.appendVector ts (pointTime p)
+          V.appendVector xs a
+     return SignalHistory { signalHistorySignal = signal,
+                            signalHistoryTimes  = ts,
+                            signalHistoryValues = xs }
+       
+-- | Read the history of signal values.
+readSignalHistory :: SignalHistory a -> Event (Array Int Double, Array Int a)
+readSignalHistory history =
+  do xs <- liftIO $ UV.freezeVector (signalHistoryTimes history)
+     ys <- liftIO $ V.freezeVector (signalHistoryValues history)
+     return (xs, ys)     
+     
+-- | Trigger the signal with the current time.
+triggerSignalWithCurrentTime :: SignalSource Double -> Event ()
+triggerSignalWithCurrentTime s =
+  Event $ \p -> invokeEvent p $ triggerSignal s (pointTime p)
+
+-- | Return a signal that is triggered in the specified time points.
+newSignalInTimes :: [Double] -> Event (Signal Double)
+newSignalInTimes xs =
+  do s <- liftSimulation newSignalSource
+     enqueueEventWithTimes xs $ triggerSignalWithCurrentTime s
+     return $ publishSignal s
+       
+-- | Return a signal that is triggered in the integration time points.
+-- It should be called with help of 'runEventInStartTime'.
+newSignalInIntegTimes :: Event (Signal Double)
+newSignalInIntegTimes =
+  do s <- liftSimulation newSignalSource
+     enqueueEventWithIntegTimes $ triggerSignalWithCurrentTime s
+     return $ publishSignal s
+     
+-- | Return a signal that is triggered in the start time.
+-- It should be called with help of 'runEventInStartTime'.
+newSignalInStartTime :: Event (Signal Double)
+newSignalInStartTime =
+  do s <- liftSimulation newSignalSource
+     t <- liftParameter starttime
+     enqueueEvent t $ triggerSignalWithCurrentTime s
+     return $ publishSignal s
+
+-- | Return a signal that is triggered in the final time.
+newSignalInStopTime :: Event (Signal Double)
+newSignalInStopTime =
+  do s <- liftSimulation newSignalSource
+     t <- liftParameter stoptime
+     enqueueEvent t $ triggerSignalWithCurrentTime s
+     return $ publishSignal s
+
+-- | Describes a computation that also signals when changing its value.
+data Signalable a =
+  Signalable { readSignalable :: Event a,
+               -- ^ Return a computation of the value.
+               signalableChanged_ :: Signal ()
+               -- ^ Return a signal notifying that the value has changed
+               -- but without providing the information about the changed value.
+             }
+
+-- | Return a signal notifying that the value has changed.
+signalableChanged :: Signalable a -> Signal a
+signalableChanged x = mapSignalM (const $ readSignalable x) $ signalableChanged_ x
+
+instance Functor Signalable where
+  fmap f x = x { readSignalable = fmap f (readSignalable x) }
+
+instance Monoid a => Monoid (Signalable a) where
+
+  mempty = emptySignalable
+  mappend = appendSignalable
+
+-- | Return an identity.
+emptySignalable :: Monoid a => Signalable a
+emptySignalable =
+  Signalable { readSignalable = return mempty,
+               signalableChanged_ = mempty }
+
+-- | An associative operation.
+appendSignalable :: Monoid a => Signalable a -> Signalable a -> Signalable a
+appendSignalable m1 m2 =
+  Signalable { readSignalable = liftM2 (<>) (readSignalable m1) (readSignalable m2),
+               signalableChanged_ = (signalableChanged_ m1) <> (signalableChanged_ m2) }
+
+-- | Transform a signal so that the resulting signal returns a sequence of arrivals
+-- saving the information about the time points at which the original signal was received.
+arrivalSignal :: Signal a -> Signal (Arrival a)
+arrivalSignal m = 
+  Signal { handleSignal = \h ->
+             Event $ \p ->
+             do r <- newIORef Nothing
+                invokeEvent p $
+                  handleSignal m $ \a ->
+                  Event $ \p ->
+                  do t0 <- readIORef r
+                     let t = pointTime p
+                     writeIORef r (Just t)
+                     invokeEvent p $
+                       h Arrival { arrivalValue = a,
+                                   arrivalTime  = t,
+                                   arrivalDelay =
+                                     case t0 of
+                                       Nothing -> Nothing
+                                       Just t0 -> Just (t - t0) }
+         }
diff --git a/Simulation/Aivika/Internal/Simulation.hs b/Simulation/Aivika/Internal/Simulation.hs
--- a/Simulation/Aivika/Internal/Simulation.hs
+++ b/Simulation/Aivika/Internal/Simulation.hs
@@ -1,163 +1,161 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
--- |
--- Module     : Simulation.Aivika.Internal.Simulation
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines the 'Simulation' monad that represents a computation
--- within the simulation run.
--- 
-module Simulation.Aivika.Internal.Simulation
-       (-- * Simulation
-        Simulation(..),
-        SimulationLift(..),
-        invokeSimulation,
-        runSimulation,
-        runSimulations,
-        -- * Error Handling
-        catchSimulation,
-        finallySimulation,
-        throwSimulation,
-        -- * Utilities
-        simulationEventQueue,
-        -- * Memoization
-        memoSimulation) where
-
-import qualified Control.Exception as C
-import Control.Exception (IOException, throw, finally)
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Monad.Fix
-import Control.Applicative
-
-import Data.IORef
-
-import Simulation.Aivika.Generator
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-
--- | A value in the 'Simulation' monad represents a computation
--- within the simulation run.
-newtype Simulation a = Simulation (Run -> IO a)
-
-instance Monad Simulation where
-  return  = returnS
-  m >>= k = bindS m k
-
-returnS :: a -> Simulation a
-{-# INLINE returnS #-}
-returnS a = Simulation (\r -> return a)
-
-bindS :: Simulation a -> (a -> Simulation b) -> Simulation b
-{-# INLINE bindS #-}
-bindS (Simulation m) k = 
-  Simulation $ \r -> 
-  do a <- m r
-     let Simulation m' = k a
-     m' r
-
--- | Run the simulation using the specified specs.
-runSimulation :: Simulation a -> Specs -> IO a
-runSimulation (Simulation m) sc =
-  do q <- newEventQueue sc
-     g <- newGenerator $ spcGeneratorType sc
-     m Run { runSpecs = sc,
-             runIndex = 1,
-             runCount = 1,
-             runEventQueue = q,
-             runGenerator = g }
-
--- | Run the given number of simulations using the specified specs, 
---   where each simulation is distinguished by its index 'simulationIndex'.
-runSimulations :: Simulation a -> Specs -> Int -> [IO a]
-runSimulations (Simulation m) sc runs = map f [1 .. runs]
-  where f i = do q <- newEventQueue sc
-                 g <- newGenerator $ spcGeneratorType sc
-                 m Run { runSpecs = sc,
-                         runIndex = i,
-                         runCount = runs,
-                         runEventQueue = q,
-                         runGenerator = g }
-
--- | Return the event queue.
-simulationEventQueue :: Simulation EventQueue
-simulationEventQueue = Simulation $ return . runEventQueue
-
-instance Functor Simulation where
-  fmap = liftMS
-
-instance Applicative Simulation where
-  pure = return
-  (<*>) = ap
-
-liftMS :: (a -> b) -> Simulation a -> Simulation b
-{-# INLINE liftMS #-}
-liftMS f (Simulation x) =
-  Simulation $ \r -> do { a <- x r; return $ f a }
-
-instance MonadIO Simulation where
-  liftIO m = Simulation $ const m
-
--- | A type class to lift the simulation computations to other computations.
-class SimulationLift m where
-  
-  -- | Lift the specified 'Simulation' computation to another computation.
-  liftSimulation :: Simulation a -> m a
-
-instance SimulationLift Simulation where
-  liftSimulation = id
-
-instance ParameterLift Simulation where
-  liftParameter = liftPS
-
-liftPS :: Parameter a -> Simulation a
-{-# INLINE liftPS #-}
-liftPS (Parameter x) =
-  Simulation x
-    
--- | Exception handling within 'Simulation' computations.
-catchSimulation :: Simulation a -> (IOException -> Simulation a) -> Simulation a
-catchSimulation (Simulation m) h =
-  Simulation $ \r -> 
-  C.catch (m r) $ \e ->
-  let Simulation m' = h e in m' r
-                           
--- | A computation with finalization part like the 'finally' function.
-finallySimulation :: Simulation a -> Simulation b -> Simulation a
-finallySimulation (Simulation m) (Simulation m') =
-  Simulation $ \r ->
-  C.finally (m r) (m' r)
-
--- | Like the standard 'throw' function.
-throwSimulation :: IOException -> Simulation a
-throwSimulation = throw
-
--- | Invoke the 'Simulation' computation.
-invokeSimulation :: Run -> Simulation a -> IO a
-{-# INLINE invokeSimulation #-}
-invokeSimulation r (Simulation m) = m r
-
-instance MonadFix Simulation where
-  mfix f = 
-    Simulation $ \r ->
-    do { rec { a <- invokeSimulation r (f a) }; return a }  
-
--- | Memoize the 'Simulation' computation, always returning the same value
--- within a simulation run.
-memoSimulation :: Simulation a -> Simulation (Simulation a)
-memoSimulation m =
-  do ref <- liftIO $ newIORef Nothing
-     return $ Simulation $ \r ->
-       do x <- readIORef ref
-          case x of
-            Just v -> return v
-            Nothing ->
-              do v <- invokeSimulation r m
-                 writeIORef ref (Just v)
-                 return v
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Simulation
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Simulation' monad that represents a computation
+-- within the simulation run.
+-- 
+module Simulation.Aivika.Internal.Simulation
+       (-- * Simulation
+        Simulation(..),
+        SimulationLift(..),
+        invokeSimulation,
+        runSimulation,
+        runSimulations,
+        -- * Error Handling
+        catchSimulation,
+        finallySimulation,
+        throwSimulation,
+        -- * Utilities
+        simulationEventQueue,
+        -- * Memoization
+        memoSimulation) where
+
+import Control.Exception
+import Control.Monad
+import Control.Monad.Trans
+import Control.Monad.Fix
+import Control.Applicative
+
+import Data.IORef
+
+import Simulation.Aivika.Generator
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+
+-- | A value in the 'Simulation' monad represents a computation
+-- within the simulation run.
+newtype Simulation a = Simulation (Run -> IO a)
+
+instance Monad Simulation where
+  return  = returnS
+  m >>= k = bindS m k
+
+returnS :: a -> Simulation a
+{-# INLINE returnS #-}
+returnS a = Simulation (\r -> return a)
+
+bindS :: Simulation a -> (a -> Simulation b) -> Simulation b
+{-# INLINE bindS #-}
+bindS (Simulation m) k = 
+  Simulation $ \r -> 
+  do a <- m r
+     let Simulation m' = k a
+     m' r
+
+-- | Run the simulation using the specified specs.
+runSimulation :: Simulation a -> Specs -> IO a
+runSimulation (Simulation m) sc =
+  do q <- newEventQueue sc
+     g <- newGenerator $ spcGeneratorType sc
+     m Run { runSpecs = sc,
+             runIndex = 1,
+             runCount = 1,
+             runEventQueue = q,
+             runGenerator = g }
+
+-- | Run the given number of simulations using the specified specs, 
+--   where each simulation is distinguished by its index 'simulationIndex'.
+runSimulations :: Simulation a -> Specs -> Int -> [IO a]
+runSimulations (Simulation m) sc runs = map f [1 .. runs]
+  where f i = do q <- newEventQueue sc
+                 g <- newGenerator $ spcGeneratorType sc
+                 m Run { runSpecs = sc,
+                         runIndex = i,
+                         runCount = runs,
+                         runEventQueue = q,
+                         runGenerator = g }
+
+-- | Return the event queue.
+simulationEventQueue :: Simulation EventQueue
+simulationEventQueue = Simulation $ return . runEventQueue
+
+instance Functor Simulation where
+  fmap = liftMS
+
+instance Applicative Simulation where
+  pure = return
+  (<*>) = ap
+
+liftMS :: (a -> b) -> Simulation a -> Simulation b
+{-# INLINE liftMS #-}
+liftMS f (Simulation x) =
+  Simulation $ \r -> do { a <- x r; return $ f a }
+
+instance MonadIO Simulation where
+  liftIO m = Simulation $ const m
+
+-- | A type class to lift the simulation computations to other computations.
+class SimulationLift m where
+  
+  -- | Lift the specified 'Simulation' computation to another computation.
+  liftSimulation :: Simulation a -> m a
+
+instance SimulationLift Simulation where
+  liftSimulation = id
+
+instance ParameterLift Simulation where
+  liftParameter = liftPS
+
+liftPS :: Parameter a -> Simulation a
+{-# INLINE liftPS #-}
+liftPS (Parameter x) =
+  Simulation x
+    
+-- | Exception handling within 'Simulation' computations.
+catchSimulation :: Exception e => Simulation a -> (e -> Simulation a) -> Simulation a
+catchSimulation (Simulation m) h =
+  Simulation $ \r -> 
+  catch (m r) $ \e ->
+  let Simulation m' = h e in m' r
+                           
+-- | A computation with finalization part like the 'finally' function.
+finallySimulation :: Simulation a -> Simulation b -> Simulation a
+finallySimulation (Simulation m) (Simulation m') =
+  Simulation $ \r ->
+  finally (m r) (m' r)
+
+-- | Like the standard 'throw' function.
+throwSimulation :: Exception e => e -> Simulation a
+throwSimulation = throw
+
+-- | Invoke the 'Simulation' computation.
+invokeSimulation :: Run -> Simulation a -> IO a
+{-# INLINE invokeSimulation #-}
+invokeSimulation r (Simulation m) = m r
+
+instance MonadFix Simulation where
+  mfix f = 
+    Simulation $ \r ->
+    do { rec { a <- invokeSimulation r (f a) }; return a }  
+
+-- | Memoize the 'Simulation' computation, always returning the same value
+-- within a simulation run.
+memoSimulation :: Simulation a -> Simulation (Simulation a)
+memoSimulation m =
+  do ref <- liftIO $ newIORef Nothing
+     return $ Simulation $ \r ->
+       do x <- readIORef ref
+          case x of
+            Just v -> return v
+            Nothing ->
+              do v <- invokeSimulation r m
+                 writeIORef ref (Just v)
+                 return v
diff --git a/Simulation/Aivika/Internal/Specs.hs b/Simulation/Aivika/Internal/Specs.hs
--- a/Simulation/Aivika/Internal/Specs.hs
+++ b/Simulation/Aivika/Internal/Specs.hs
@@ -1,223 +1,223 @@
-
--- |
--- Module     : Simulation.Aivika.Internal.Specs
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- It defines the simulation specs and related stuff.
-module Simulation.Aivika.Internal.Specs
-       (Specs(..),
-        Method(..),
-        Run(..),
-        Point(..),
-        EventQueue(..),
-        newEventQueue,
-        basicTime,
-        integIterationBnds,
-        integIterationHiBnd,
-        integIterationLoBnd,
-        integPhaseBnds,
-        integPhaseHiBnd,
-        integPhaseLoBnd,
-        integTimes,
-        integPoints,
-        integStartPoint,
-        integStopPoint,
-        pointAt) where
-
-import Data.IORef
-
-import Simulation.Aivika.Generator
-import qualified Simulation.Aivika.PriorityQueue as PQ
-
--- | It defines the simulation specs.
-data Specs = Specs { spcStartTime :: Double,    -- ^ the start time
-                     spcStopTime :: Double,     -- ^ the stop time
-                     spcDT :: Double,           -- ^ the integration time step
-                     spcMethod :: Method,       -- ^ the integration method
-                     spcGeneratorType :: GeneratorType
-                     -- ^ the type of the random number generator
-                   }
-
--- | It defines the integration method.
-data Method = Euler          -- ^ Euler's method
-            | RungeKutta2    -- ^ the 2nd order Runge-Kutta method
-            | RungeKutta4    -- ^ the 4th order Runge-Kutta method
-            deriving (Eq, Ord, Show)
-
--- | It indentifies the simulation run.
-data Run = Run { runSpecs :: Specs,  -- ^ the simulation specs
-                 runIndex :: Int,    -- ^ the current simulation run index
-                 runCount :: Int,    -- ^ the total number of runs in this experiment
-                 runEventQueue :: EventQueue,  -- ^ the event queue
-                 runGenerator :: Generator     -- ^ the random number generator
-               }
-
--- | It defines the simulation point appended with the additional information.
-data Point = Point { pointSpecs :: Specs,    -- ^ the simulation specs
-                     pointRun :: Run,        -- ^ the simulation run
-                     pointTime :: Double,    -- ^ the current time
-                     pointIteration :: Int,  -- ^ the current iteration
-                     pointPhase :: Int       -- ^ the current phase
-                   }
-
--- | It represents the event queue.
-data EventQueue = EventQueue { queuePQ :: PQ.PriorityQueue (Point -> IO ()),
-                               -- ^ the underlying priority queue
-                               queueBusy :: IORef Bool,
-                               -- ^ whether the queue is currently processing events
-                               queueTime :: IORef Double
-                               -- ^ the actual time of the event queue
-                             }
-
--- | Create a new event queue by the specified specs.
-newEventQueue :: Specs -> IO EventQueue
-newEventQueue specs = 
-  do f <- newIORef False
-     t <- newIORef $ spcStartTime specs
-     pq <- PQ.newQueue
-     return EventQueue { queuePQ   = pq,
-                         queueBusy = f,
-                         queueTime = t }
-
--- | Returns the integration iterations starting from zero.
-integIterations :: Specs -> [Int]
-integIterations sc = [i1 .. i2] where
-  i1 = integIterationLoBnd sc
-  i2 = integIterationHiBnd sc
-
--- | Returns the first and last integration iterations.
-integIterationBnds :: Specs -> (Int, Int)
-integIterationBnds sc = (i1, i2) where
-  i1 = integIterationLoBnd sc
-  i2 = integIterationHiBnd sc
-
--- | Returns the first integration iteration, i.e. zero.
-integIterationLoBnd :: Specs -> Int
-integIterationLoBnd sc = 0
-
--- | Returns the last integration iteration.
-integIterationHiBnd :: Specs -> Int
-integIterationHiBnd sc =
-  let n = round ((spcStopTime sc - 
-                  spcStartTime sc) / spcDT sc)
-  in if n < 0
-     then
-       error $
-       "The iteration number in the stop time has a negative value. " ++
-       "Either the simulation specs are incorrect, " ++
-       "or a floating point overflow occurred, " ++
-       "for example, when using a too small integration time step. " ++
-       "You have to define this time step regardless of " ++
-       "whether you actually use it or not, " ++
-       "for Aivika allows combining the ordinary differential equations " ++
-       "with the discrete event simulation within one model. " ++
-       "So, if you are still using the 32-bit architecture and " ++
-       "you do need a small integration time step " ++
-       "for integrating the equations " ++
-       "then you might think of using the 64-bit architecture. " ++
-       "Although you could probably just forget " ++
-       "to increase the time step " ++
-       "after increasing the stop time: integIterationHiBnd"
-     else n
-
--- | Returns the phases for the specified simulation specs starting from zero.
-integPhases :: Specs -> [Int]
-integPhases sc = 
-  case spcMethod sc of
-    Euler -> [0]
-    RungeKutta2 -> [0, 1]
-    RungeKutta4 -> [0, 1, 2, 3]
-
--- | Returns the first and last integration phases.
-integPhaseBnds :: Specs -> (Int, Int)
-integPhaseBnds sc = 
-  case spcMethod sc of
-    Euler -> (0, 0)
-    RungeKutta2 -> (0, 1)
-    RungeKutta4 -> (0, 3)
-
--- | Returns the first integration phase, i.e. zero.
-integPhaseLoBnd :: Specs -> Int
-integPhaseLoBnd sc = 0
-                  
--- | Returns the last integration phase, 0 for Euler's method, 1 for RK2 and 3 for RK4.
-integPhaseHiBnd :: Specs -> Int
-integPhaseHiBnd sc = 
-  case spcMethod sc of
-    Euler -> 0
-    RungeKutta2 -> 1
-    RungeKutta4 -> 3
-
--- | Returns a simulation time for the integration point specified by 
--- the specs, iteration and phase.
-basicTime :: Specs -> Int -> Int -> Double
-basicTime sc n ph =
-  if ph < 0 then 
-    error "Incorrect phase: basicTime"
-  else
-    spcStartTime sc + n' * spcDT sc + delta (spcMethod sc) ph 
-      where n' = fromIntegral n
-            delta Euler       0 = 0
-            delta RungeKutta2 0 = 0
-            delta RungeKutta2 1 = spcDT sc
-            delta RungeKutta4 0 = 0
-            delta RungeKutta4 1 = spcDT sc / 2
-            delta RungeKutta4 2 = spcDT sc / 2
-            delta RungeKutta4 3 = spcDT sc
-
--- | Return the integration time values.
-integTimes :: Specs -> [Double]
-integTimes sc = map t [nl .. nu]
-  where (nl, nu) = integIterationBnds sc
-        t n = basicTime sc n 0
-
--- | Return the integration time points.
-integPoints :: Run -> [Point]
-integPoints r = points
-  where sc = runSpecs r
-        (nl, nu) = integIterationBnds sc
-        points   = map point [nl .. nu]
-        point n  = Point { pointSpecs = sc,
-                           pointRun = r,
-                           pointTime = basicTime sc n 0,
-                           pointIteration = n,
-                           pointPhase = 0 }
-
--- | Return the start time point.
-integStartPoint :: Run -> Point
-integStartPoint r = point nl
-  where sc = runSpecs r
-        (nl, nu) = integIterationBnds sc
-        point n  = Point { pointSpecs = sc,
-                           pointRun = r,
-                           pointTime = basicTime sc n 0,
-                           pointIteration = n,
-                           pointPhase = 0 }
-
--- | Return the stop time point.
-integStopPoint :: Run -> Point
-integStopPoint r = point nu
-  where sc = runSpecs r
-        (nl, nu) = integIterationBnds sc
-        point n  = Point { pointSpecs = sc,
-                           pointRun = r,
-                           pointTime = basicTime sc n 0,
-                           pointIteration = n,
-                           pointPhase = 0 }
-
--- | Return the point at the specified time.
-pointAt :: Run -> Double -> Point
-pointAt r t = p
-  where sc = runSpecs r
-        t0 = spcStartTime sc
-        dt = spcDT sc
-        n  = fromIntegral $ floor ((t - t0) / dt)
-        p = Point { pointSpecs = sc,
-                    pointRun = r,
-                    pointTime = t,
-                    pointIteration = n,
-                    pointPhase = -1 }
+
+-- |
+-- Module     : Simulation.Aivika.Internal.Specs
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- It defines the simulation specs and related stuff.
+module Simulation.Aivika.Internal.Specs
+       (Specs(..),
+        Method(..),
+        Run(..),
+        Point(..),
+        EventQueue(..),
+        newEventQueue,
+        basicTime,
+        integIterationBnds,
+        integIterationHiBnd,
+        integIterationLoBnd,
+        integPhaseBnds,
+        integPhaseHiBnd,
+        integPhaseLoBnd,
+        integTimes,
+        integPoints,
+        integStartPoint,
+        integStopPoint,
+        pointAt) where
+
+import Data.IORef
+
+import Simulation.Aivika.Generator
+import qualified Simulation.Aivika.PriorityQueue as PQ
+
+-- | It defines the simulation specs.
+data Specs = Specs { spcStartTime :: Double,    -- ^ the start time
+                     spcStopTime :: Double,     -- ^ the stop time
+                     spcDT :: Double,           -- ^ the integration time step
+                     spcMethod :: Method,       -- ^ the integration method
+                     spcGeneratorType :: GeneratorType
+                     -- ^ the type of the random number generator
+                   }
+
+-- | It defines the integration method.
+data Method = Euler          -- ^ Euler's method
+            | RungeKutta2    -- ^ the 2nd order Runge-Kutta method
+            | RungeKutta4    -- ^ the 4th order Runge-Kutta method
+            deriving (Eq, Ord, Show)
+
+-- | It indentifies the simulation run.
+data Run = Run { runSpecs :: Specs,  -- ^ the simulation specs
+                 runIndex :: Int,    -- ^ the current simulation run index
+                 runCount :: Int,    -- ^ the total number of runs in this experiment
+                 runEventQueue :: EventQueue,  -- ^ the event queue
+                 runGenerator :: Generator     -- ^ the random number generator
+               }
+
+-- | It defines the simulation point appended with the additional information.
+data Point = Point { pointSpecs :: Specs,    -- ^ the simulation specs
+                     pointRun :: Run,        -- ^ the simulation run
+                     pointTime :: Double,    -- ^ the current time
+                     pointIteration :: Int,  -- ^ the current iteration
+                     pointPhase :: Int       -- ^ the current phase
+                   }
+
+-- | It represents the event queue.
+data EventQueue = EventQueue { queuePQ :: PQ.PriorityQueue (Point -> IO ()),
+                               -- ^ the underlying priority queue
+                               queueBusy :: IORef Bool,
+                               -- ^ whether the queue is currently processing events
+                               queueTime :: IORef Double
+                               -- ^ the actual time of the event queue
+                             }
+
+-- | Create a new event queue by the specified specs.
+newEventQueue :: Specs -> IO EventQueue
+newEventQueue specs = 
+  do f <- newIORef False
+     t <- newIORef $ spcStartTime specs
+     pq <- PQ.newQueue
+     return EventQueue { queuePQ   = pq,
+                         queueBusy = f,
+                         queueTime = t }
+
+-- | Returns the integration iterations starting from zero.
+integIterations :: Specs -> [Int]
+integIterations sc = [i1 .. i2] where
+  i1 = integIterationLoBnd sc
+  i2 = integIterationHiBnd sc
+
+-- | Returns the first and last integration iterations.
+integIterationBnds :: Specs -> (Int, Int)
+integIterationBnds sc = (i1, i2) where
+  i1 = integIterationLoBnd sc
+  i2 = integIterationHiBnd sc
+
+-- | Returns the first integration iteration, i.e. zero.
+integIterationLoBnd :: Specs -> Int
+integIterationLoBnd sc = 0
+
+-- | Returns the last integration iteration.
+integIterationHiBnd :: Specs -> Int
+integIterationHiBnd sc =
+  let n = round ((spcStopTime sc - 
+                  spcStartTime sc) / spcDT sc)
+  in if n < 0
+     then
+       error $
+       "The iteration number in the stop time has a negative value. " ++
+       "Either the simulation specs are incorrect, " ++
+       "or a floating point overflow occurred, " ++
+       "for example, when using a too small integration time step. " ++
+       "You have to define this time step regardless of " ++
+       "whether you actually use it or not, " ++
+       "for Aivika allows combining the ordinary differential equations " ++
+       "with the discrete event simulation within one model. " ++
+       "So, if you are still using the 32-bit architecture and " ++
+       "you do need a small integration time step " ++
+       "for integrating the equations " ++
+       "then you might think of using the 64-bit architecture. " ++
+       "Although you could probably just forget " ++
+       "to increase the time step " ++
+       "after increasing the stop time: integIterationHiBnd"
+     else n
+
+-- | Returns the phases for the specified simulation specs starting from zero.
+integPhases :: Specs -> [Int]
+integPhases sc = 
+  case spcMethod sc of
+    Euler -> [0]
+    RungeKutta2 -> [0, 1]
+    RungeKutta4 -> [0, 1, 2, 3]
+
+-- | Returns the first and last integration phases.
+integPhaseBnds :: Specs -> (Int, Int)
+integPhaseBnds sc = 
+  case spcMethod sc of
+    Euler -> (0, 0)
+    RungeKutta2 -> (0, 1)
+    RungeKutta4 -> (0, 3)
+
+-- | Returns the first integration phase, i.e. zero.
+integPhaseLoBnd :: Specs -> Int
+integPhaseLoBnd sc = 0
+                  
+-- | Returns the last integration phase, 0 for Euler's method, 1 for RK2 and 3 for RK4.
+integPhaseHiBnd :: Specs -> Int
+integPhaseHiBnd sc = 
+  case spcMethod sc of
+    Euler -> 0
+    RungeKutta2 -> 1
+    RungeKutta4 -> 3
+
+-- | Returns a simulation time for the integration point specified by 
+-- the specs, iteration and phase.
+basicTime :: Specs -> Int -> Int -> Double
+basicTime sc n ph =
+  if ph < 0 then 
+    error "Incorrect phase: basicTime"
+  else
+    spcStartTime sc + n' * spcDT sc + delta (spcMethod sc) ph 
+      where n' = fromIntegral n
+            delta Euler       0 = 0
+            delta RungeKutta2 0 = 0
+            delta RungeKutta2 1 = spcDT sc
+            delta RungeKutta4 0 = 0
+            delta RungeKutta4 1 = spcDT sc / 2
+            delta RungeKutta4 2 = spcDT sc / 2
+            delta RungeKutta4 3 = spcDT sc
+
+-- | Return the integration time values.
+integTimes :: Specs -> [Double]
+integTimes sc = map t [nl .. nu]
+  where (nl, nu) = integIterationBnds sc
+        t n = basicTime sc n 0
+
+-- | Return the integration time points.
+integPoints :: Run -> [Point]
+integPoints r = points
+  where sc = runSpecs r
+        (nl, nu) = integIterationBnds sc
+        points   = map point [nl .. nu]
+        point n  = Point { pointSpecs = sc,
+                           pointRun = r,
+                           pointTime = basicTime sc n 0,
+                           pointIteration = n,
+                           pointPhase = 0 }
+
+-- | Return the start time point.
+integStartPoint :: Run -> Point
+integStartPoint r = point nl
+  where sc = runSpecs r
+        (nl, nu) = integIterationBnds sc
+        point n  = Point { pointSpecs = sc,
+                           pointRun = r,
+                           pointTime = basicTime sc n 0,
+                           pointIteration = n,
+                           pointPhase = 0 }
+
+-- | Return the stop time point.
+integStopPoint :: Run -> Point
+integStopPoint r = point nu
+  where sc = runSpecs r
+        (nl, nu) = integIterationBnds sc
+        point n  = Point { pointSpecs = sc,
+                           pointRun = r,
+                           pointTime = basicTime sc n 0,
+                           pointIteration = n,
+                           pointPhase = 0 }
+
+-- | Return the point at the specified time.
+pointAt :: Run -> Double -> Point
+pointAt r t = p
+  where sc = runSpecs r
+        t0 = spcStartTime sc
+        dt = spcDT sc
+        n  = fromIntegral $ floor ((t - t0) / dt)
+        p = Point { pointSpecs = sc,
+                    pointRun = r,
+                    pointTime = t,
+                    pointIteration = n,
+                    pointPhase = -1 }
diff --git a/Simulation/Aivika/Net.hs b/Simulation/Aivika/Net.hs
--- a/Simulation/Aivika/Net.hs
+++ b/Simulation/Aivika/Net.hs
@@ -1,242 +1,242 @@
-
--- |
--- Module     : Simulation.Aivika.Net
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines a 'Net' arrow that can be applied to modeling the queue networks
--- like the 'Processor' arrow from another module. Only the former has a more efficient
--- implementation of the 'Arrow' interface than the latter, although at the cost of
--- some decreasing in generality.
---
--- While the @Processor@ type is just a function that transforms the input 'Stream' into another,
--- the @Net@ type is actually an automaton that has an implementation very similar to that one
--- which the 'Circuit' type has, only the computations occur in the 'Process' monad. But unlike
--- the @Circuit@ type, the @Net@ type doesn't allow declaring recursive definitions, being based on
--- continuations.
---
--- In a nutshell, the @Net@ type is an interchangeable alternative to the @Processor@ type
--- with its weaknesses and strengths. The @Net@ arrow is useful for constructing computations
--- with help of the proc-notation to be transformed then to the @Processor@ computations that
--- are more general in nature and more easy-to-use but which computations created with help of
--- the proc-notation are not so efficient.
---
-module Simulation.Aivika.Net
-       (-- * Net Arrow
-        Net(..),
-        -- * Net Primitives
-        emptyNet,
-        arrNet,
-        accumNet,
-        -- * Specifying Identifier
-        netUsingId,
-        -- * Arrival Net
-        arrivalNet,
-        -- * Delaying Net
-        delayNet,
-        -- * Interchanging Nets with Processors
-        netProcessor,
-        processorNet) where
-
-import qualified Control.Category as C
-import Control.Arrow
-import Control.Monad.Trans
-
-import Data.IORef
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Cont
-import Simulation.Aivika.Process
-import Simulation.Aivika.Stream
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Resource
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Ref
-import Simulation.Aivika.Circuit
-import Simulation.Aivika.Internal.Arrival
-
--- | Represents the net as an automaton working within the 'Process' computation.
-newtype Net a b =
-  Net { runNet :: a -> Process (b, Net a b)
-        -- ^ Run the net.
-      }
-
-instance C.Category Net where
-
-  id = Net $ \a -> return (a, C.id)
-
-  (.) = dot
-    where 
-      (Net g) `dot` (Net f) =
-        Net $ \a ->
-        do (b, p1) <- f a
-           (c, p2) <- g b
-           return (c, p2 `dot` p1)
-
-instance Arrow Net where
-
-  arr f = Net $ \a -> return (f a, arr f)
-
-  first (Net f) =
-    Net $ \(b, d) ->
-    do (c, p) <- f b
-       return ((c, d), first p)
-
-  second (Net f) =
-    Net $ \(d, b) ->
-    do (c, p) <- f b
-       return ((d, c), second p)
-
-  (Net f) *** (Net g) =
-    Net $ \(b, b') ->
-    do (c, p1) <- f b
-       (c', p2) <- g b'
-       return ((c, c'), p1 *** p2)
-       
-  (Net f) &&& (Net g) =
-    Net $ \b ->
-    do (c, p1) <- f b
-       (c', p2) <- g b
-       return ((c, c'), p1 &&& p2)
-
-instance ArrowChoice Net where
-
-  left x@(Net f) =
-    Net $ \ebd ->
-    case ebd of
-      Left b ->
-        do (c, p) <- f b
-           return (Left c, left p)
-      Right d ->
-        return (Right d, left x)
-
-  right x@(Net f) =
-    Net $ \edb ->
-    case edb of
-      Right b ->
-        do (c, p) <- f b
-           return (Right c, right p)
-      Left d ->
-        return (Left d, right x)
-
-  x@(Net f) +++ y@(Net g) =
-    Net $ \ebb' ->
-    case ebb' of
-      Left b ->
-        do (c, p1) <- f b
-           return (Left c, p1 +++ y)
-      Right b' ->
-        do (c', p2) <- g b'
-           return (Right c', x +++ p2)
-
-  x@(Net f) ||| y@(Net g) =
-    Net $ \ebc ->
-    case ebc of
-      Left b ->
-        do (d, p1) <- f b
-           return (d, p1 ||| y)
-      Right b' ->
-        do (d, p2) <- g b'
-           return (d, x ||| p2)
-
--- | A net that never finishes its work.
-emptyNet :: Net a b
-emptyNet = Net $ const neverProcess
-
--- | Create a simple net by the specified handling function
--- that runs the discontinuous process for each input value to get an output.
-arrNet :: (a -> Process b) -> Net a b
-arrNet f =
-  let x =
-        Net $ \a ->
-        do b <- f a
-           return (b, x)
-  in x
-
--- | Accumulator that outputs a value determined by the supplied function.
-accumNet :: (acc -> a -> Process (acc, b)) -> acc -> Net a b
-accumNet f acc =
-  Net $ \a ->
-  do (acc', b) <- f acc a
-     return (b, accumNet f acc') 
-
--- | Create a net that will use the specified process identifier.
--- It can be useful to refer to the underlying 'Process' computation which
--- can be passivated, interrupted, canceled and so on. See also the
--- 'processUsingId' function for more details.
-netUsingId :: ProcessId -> Net a b -> Net a b
-netUsingId pid (Net f) =
-  Net $ processUsingId pid . f
-
--- | Transform the net to an equivalent processor (a rather cheap transformation).
-netProcessor :: Net a b -> Processor a b
-netProcessor = Processor . loop
-  where loop x as =
-          Cons $
-          do (a, as') <- runStream as
-             (b, x') <- runNet x a
-             return (b, loop x' as')
-
--- | Transform the processor to a similar net (a more costly transformation).
-processorNet :: Processor a b -> Net a b
-processorNet x =
-  Net $ \a ->
-  do readingA <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-     writingA <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
-     readingB <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-     writingB <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
-     conting  <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-     refA <- liftIO $ newIORef Nothing
-     refB <- liftIO $ newIORef Nothing
-     let input =
-           do requestResource readingA
-              Just a <- liftIO $ readIORef refA
-              liftIO $ writeIORef refA Nothing
-              releaseResource writingA
-              return (a, Cons input)
-         consume bs =
-           do (b, bs') <- runStream bs
-              requestResource writingB
-              liftIO $ writeIORef refB (Just b)
-              releaseResource readingB
-              requestResource conting
-              consume bs'
-         loop a =
-           do requestResource writingA
-              liftIO $ writeIORef refA (Just a)
-              releaseResource readingA
-              requestResource readingB
-              Just b <- liftIO $ readIORef refB
-              liftIO $ writeIORef refB Nothing
-              releaseResource writingB
-              return (b, Net $ \a -> releaseResource conting >> loop a)
-     spawnProcess CancelTogether $
-       consume $ runProcessor x (Cons input)
-     loop a
-
--- | A net that adds the information about the time points at which 
--- the values were received.
-arrivalNet :: Net a (Arrival a)
-arrivalNet =
-  let loop t0 =
-        Net $ \a ->
-        do t <- liftDynamics time
-           let b = Arrival { arrivalValue = a,
-                             arrivalTime  = t,
-                             arrivalDelay = 
-                               case t0 of
-                                 Nothing -> Nothing
-                                 Just t0 -> Just (t - t0) }
-           return (b, loop $ Just t)
-  in loop Nothing
-
--- | Delay the input by one step using the specified initial value.
-delayNet :: a -> Net a a
-delayNet a0 =
-  Net $ \a ->
-  return (a0, delayNet a)
+
+-- |
+-- Module     : Simulation.Aivika.Net
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines a 'Net' arrow that can be applied to modeling the queue networks
+-- like the 'Processor' arrow from another module. Only the former has a more efficient
+-- implementation of the 'Arrow' interface than the latter, although at the cost of
+-- some decreasing in generality.
+--
+-- While the @Processor@ type is just a function that transforms the input 'Stream' into another,
+-- the @Net@ type is actually an automaton that has an implementation very similar to that one
+-- which the 'Circuit' type has, only the computations occur in the 'Process' monad. But unlike
+-- the @Circuit@ type, the @Net@ type doesn't allow declaring recursive definitions, being based on
+-- continuations.
+--
+-- In a nutshell, the @Net@ type is an interchangeable alternative to the @Processor@ type
+-- with its weaknesses and strengths. The @Net@ arrow is useful for constructing computations
+-- with help of the proc-notation to be transformed then to the @Processor@ computations that
+-- are more general in nature and more easy-to-use but which computations created with help of
+-- the proc-notation are not so efficient.
+--
+module Simulation.Aivika.Net
+       (-- * Net Arrow
+        Net(..),
+        -- * Net Primitives
+        emptyNet,
+        arrNet,
+        accumNet,
+        -- * Specifying Identifier
+        netUsingId,
+        -- * Arrival Net
+        arrivalNet,
+        -- * Delaying Net
+        delayNet,
+        -- * Interchanging Nets with Processors
+        netProcessor,
+        processorNet) where
+
+import qualified Control.Category as C
+import Control.Arrow
+import Control.Monad.Trans
+
+import Data.IORef
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Cont
+import Simulation.Aivika.Process
+import Simulation.Aivika.Stream
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Resource
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Circuit
+import Simulation.Aivika.Internal.Arrival
+
+-- | Represents the net as an automaton working within the 'Process' computation.
+newtype Net a b =
+  Net { runNet :: a -> Process (b, Net a b)
+        -- ^ Run the net.
+      }
+
+instance C.Category Net where
+
+  id = Net $ \a -> return (a, C.id)
+
+  (.) = dot
+    where 
+      (Net g) `dot` (Net f) =
+        Net $ \a ->
+        do (b, p1) <- f a
+           (c, p2) <- g b
+           return (c, p2 `dot` p1)
+
+instance Arrow Net where
+
+  arr f = Net $ \a -> return (f a, arr f)
+
+  first (Net f) =
+    Net $ \(b, d) ->
+    do (c, p) <- f b
+       return ((c, d), first p)
+
+  second (Net f) =
+    Net $ \(d, b) ->
+    do (c, p) <- f b
+       return ((d, c), second p)
+
+  (Net f) *** (Net g) =
+    Net $ \(b, b') ->
+    do (c, p1) <- f b
+       (c', p2) <- g b'
+       return ((c, c'), p1 *** p2)
+       
+  (Net f) &&& (Net g) =
+    Net $ \b ->
+    do (c, p1) <- f b
+       (c', p2) <- g b
+       return ((c, c'), p1 &&& p2)
+
+instance ArrowChoice Net where
+
+  left x@(Net f) =
+    Net $ \ebd ->
+    case ebd of
+      Left b ->
+        do (c, p) <- f b
+           return (Left c, left p)
+      Right d ->
+        return (Right d, left x)
+
+  right x@(Net f) =
+    Net $ \edb ->
+    case edb of
+      Right b ->
+        do (c, p) <- f b
+           return (Right c, right p)
+      Left d ->
+        return (Left d, right x)
+
+  x@(Net f) +++ y@(Net g) =
+    Net $ \ebb' ->
+    case ebb' of
+      Left b ->
+        do (c, p1) <- f b
+           return (Left c, p1 +++ y)
+      Right b' ->
+        do (c', p2) <- g b'
+           return (Right c', x +++ p2)
+
+  x@(Net f) ||| y@(Net g) =
+    Net $ \ebc ->
+    case ebc of
+      Left b ->
+        do (d, p1) <- f b
+           return (d, p1 ||| y)
+      Right b' ->
+        do (d, p2) <- g b'
+           return (d, x ||| p2)
+
+-- | A net that never finishes its work.
+emptyNet :: Net a b
+emptyNet = Net $ const neverProcess
+
+-- | Create a simple net by the specified handling function
+-- that runs the discontinuous process for each input value to get an output.
+arrNet :: (a -> Process b) -> Net a b
+arrNet f =
+  let x =
+        Net $ \a ->
+        do b <- f a
+           return (b, x)
+  in x
+
+-- | Accumulator that outputs a value determined by the supplied function.
+accumNet :: (acc -> a -> Process (acc, b)) -> acc -> Net a b
+accumNet f acc =
+  Net $ \a ->
+  do (acc', b) <- f acc a
+     return (b, accumNet f acc') 
+
+-- | Create a net that will use the specified process identifier.
+-- It can be useful to refer to the underlying 'Process' computation which
+-- can be passivated, interrupted, canceled and so on. See also the
+-- 'processUsingId' function for more details.
+netUsingId :: ProcessId -> Net a b -> Net a b
+netUsingId pid (Net f) =
+  Net $ processUsingId pid . f
+
+-- | Transform the net to an equivalent processor (a rather cheap transformation).
+netProcessor :: Net a b -> Processor a b
+netProcessor = Processor . loop
+  where loop x as =
+          Cons $
+          do (a, as') <- runStream as
+             (b, x') <- runNet x a
+             return (b, loop x' as')
+
+-- | Transform the processor to a similar net (a more costly transformation).
+processorNet :: Processor a b -> Net a b
+processorNet x =
+  Net $ \a ->
+  do readingA <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+     writingA <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
+     readingB <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+     writingB <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
+     conting  <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+     refA <- liftIO $ newIORef Nothing
+     refB <- liftIO $ newIORef Nothing
+     let input =
+           do requestResource readingA
+              Just a <- liftIO $ readIORef refA
+              liftIO $ writeIORef refA Nothing
+              releaseResource writingA
+              return (a, Cons input)
+         consume bs =
+           do (b, bs') <- runStream bs
+              requestResource writingB
+              liftIO $ writeIORef refB (Just b)
+              releaseResource readingB
+              requestResource conting
+              consume bs'
+         loop a =
+           do requestResource writingA
+              liftIO $ writeIORef refA (Just a)
+              releaseResource readingA
+              requestResource readingB
+              Just b <- liftIO $ readIORef refB
+              liftIO $ writeIORef refB Nothing
+              releaseResource writingB
+              return (b, Net $ \a -> releaseResource conting >> loop a)
+     spawnProcess CancelTogether $
+       consume $ runProcessor x (Cons input)
+     loop a
+
+-- | A net that adds the information about the time points at which 
+-- the values were received.
+arrivalNet :: Net a (Arrival a)
+arrivalNet =
+  let loop t0 =
+        Net $ \a ->
+        do t <- liftDynamics time
+           let b = Arrival { arrivalValue = a,
+                             arrivalTime  = t,
+                             arrivalDelay = 
+                               case t0 of
+                                 Nothing -> Nothing
+                                 Just t0 -> Just (t - t0) }
+           return (b, loop $ Just t)
+  in loop Nothing
+
+-- | Delay the input by one step using the specified initial value.
+delayNet :: a -> Net a a
+delayNet a0 =
+  Net $ \a ->
+  return (a0, delayNet a)
diff --git a/Simulation/Aivika/Parameter.hs b/Simulation/Aivika/Parameter.hs
--- a/Simulation/Aivika/Parameter.hs
+++ b/Simulation/Aivika/Parameter.hs
@@ -1,38 +1,38 @@
--- |
--- Module     : Simulation.Aivika.Parameter
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines the 'Parameter' monad that allows representing the model
--- parameters. For example, they can be used when running the Monte-Carlo simulation.
---
--- In general, this monad is very useful for representing a computation which is external
--- relative to the model itself.
--- 
-module Simulation.Aivika.Parameter
-       (-- * Parameter
-        Parameter,
-        ParameterLift(..),
-        runParameter,
-        runParameters,
-        -- * Error Handling
-        catchParameter,
-        finallyParameter,
-        throwParameter,
-        -- * Predefined Parameters
-        simulationIndex,
-        simulationCount,
-        simulationSpecs,
-        generatorParameter,
-        starttime,
-        stoptime,
-        dt,
-        -- * Memoization
-        memoParameter,
-        -- * Utilities
-        tableParameter) where
-
-import Simulation.Aivika.Internal.Parameter
+-- |
+-- Module     : Simulation.Aivika.Parameter
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Parameter' monad that allows representing the model
+-- parameters. For example, they can be used when running the Monte-Carlo simulation.
+--
+-- In general, this monad is very useful for representing a computation which is external
+-- relative to the model itself.
+-- 
+module Simulation.Aivika.Parameter
+       (-- * Parameter
+        Parameter,
+        ParameterLift(..),
+        runParameter,
+        runParameters,
+        -- * Error Handling
+        catchParameter,
+        finallyParameter,
+        throwParameter,
+        -- * Predefined Parameters
+        simulationIndex,
+        simulationCount,
+        simulationSpecs,
+        generatorParameter,
+        starttime,
+        stoptime,
+        dt,
+        -- * Memoization
+        memoParameter,
+        -- * Utilities
+        tableParameter) where
+
+import Simulation.Aivika.Internal.Parameter
diff --git a/Simulation/Aivika/Parameter/Random.hs b/Simulation/Aivika/Parameter/Random.hs
--- a/Simulation/Aivika/Parameter/Random.hs
+++ b/Simulation/Aivika/Parameter/Random.hs
@@ -1,123 +1,123 @@
-
--- |
--- Module     : Simulation.Aivika.Parameter.Random
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines the random parameters of simulation experiments.
---
--- To create a parameter that would return the same value within the simulation run,
--- you should memoize the computation with help of 'memoParameter', which is important
--- for the Monte-Carlo simulation.
---
--- To create a random function that would return the same values in the integration
--- time points within the simulation run, you should either lift the computation to
--- the 'Dynamics' computation and then memoize it too but using the 'memo0Dynamics'
--- function for that computation, or just take the predefined function that does
--- namely this.
-
-module Simulation.Aivika.Parameter.Random
-       (randomUniform,
-        randomUniformInt,
-        randomNormal,
-        randomExponential,
-        randomErlang,
-        randomPoisson,
-        randomBinomial,
-        randomTrue,
-        randomFalse) where
-
-import System.Random
-
-import Control.Monad.Trans
-
-import Simulation.Aivika.Generator
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Dynamics.Memo.Unboxed
-
--- | Computation that generates a new random number distributed uniformly.
-randomUniform :: Double     -- ^ minimum
-                 -> Double  -- ^ maximum
-                 -> Parameter Double
-randomUniform min max =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorUniform g min max
-
--- | Computation that generates a new random integer number distributed uniformly.
-randomUniformInt :: Int     -- ^ minimum
-                    -> Int  -- ^ maximum
-                    -> Parameter Int
-randomUniformInt min max =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorUniformInt g min max
-
--- | Computation that generates a new random number distributed normally.
-randomNormal :: Double     -- ^ mean
-                -> Double  -- ^ deviation
-                -> Parameter Double
-randomNormal mu nu =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorNormal g mu nu
-
--- | Computation that returns a new exponential random number with the specified mean
--- (the reciprocal of the rate).
-randomExponential :: Double
-                     -- ^ the mean (the reciprocal of the rate)
-                     -> Parameter Double
-randomExponential mu =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorExponential g mu
-
--- | Computation that returns a new Erlang random number with the specified scale
--- (the reciprocal of the rate) and integer shape.
-randomErlang :: Double
-                -- ^ the scale (the reciprocal of the rate)
-                -> Int
-                -- ^ the shape
-                -> Parameter Double
-randomErlang beta m =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorErlang g beta m
-
--- | Computation that returns a new Poisson random number with the specified mean.
-randomPoisson :: Double
-                 -- ^ the mean
-                 -> Parameter Int
-randomPoisson mu =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorPoisson g mu
-
--- | Computation that returns a new binomial random number with the specified
--- probability and trials.
-randomBinomial :: Double  -- ^ the probability
-                  -> Int  -- ^ the number of trials
-                  -> Parameter Int
-randomBinomial prob trials =
-  Parameter $ \r ->
-  let g = runGenerator r
-  in generatorBinomial g prob trials
-
--- | Computation that returns 'True' in case of success.
-randomTrue :: Double      -- ^ the probability of the success
-              -> Parameter Bool
-randomTrue p =
-  do x <- randomUniform 0 1
-     return (x <= p)
-
--- | Computation that returns 'False' in case of success.
-randomFalse :: Double      -- ^ the probability of the success
-              -> Parameter Bool
-randomFalse p =
-  do x <- randomUniform 0 1
-     return (x > p)     
+
+-- |
+-- Module     : Simulation.Aivika.Parameter.Random
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the random parameters of simulation experiments.
+--
+-- To create a parameter that would return the same value within the simulation run,
+-- you should memoize the computation with help of 'memoParameter', which is important
+-- for the Monte-Carlo simulation.
+--
+-- To create a random function that would return the same values in the integration
+-- time points within the simulation run, you should either lift the computation to
+-- the 'Dynamics' computation and then memoize it too but using the 'memo0Dynamics'
+-- function for that computation, or just take the predefined function that does
+-- namely this.
+
+module Simulation.Aivika.Parameter.Random
+       (randomUniform,
+        randomUniformInt,
+        randomNormal,
+        randomExponential,
+        randomErlang,
+        randomPoisson,
+        randomBinomial,
+        randomTrue,
+        randomFalse) where
+
+import System.Random
+
+import Control.Monad.Trans
+
+import Simulation.Aivika.Generator
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Memo.Unboxed
+
+-- | Computation that generates a new random number distributed uniformly.
+randomUniform :: Double     -- ^ minimum
+                 -> Double  -- ^ maximum
+                 -> Parameter Double
+randomUniform min max =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateUniform g min max
+
+-- | Computation that generates a new random integer number distributed uniformly.
+randomUniformInt :: Int     -- ^ minimum
+                    -> Int  -- ^ maximum
+                    -> Parameter Int
+randomUniformInt min max =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateUniformInt g min max
+
+-- | Computation that generates a new random number distributed normally.
+randomNormal :: Double     -- ^ mean
+                -> Double  -- ^ deviation
+                -> Parameter Double
+randomNormal mu nu =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateNormal g mu nu
+
+-- | Computation that returns a new exponential random number with the specified mean
+-- (the reciprocal of the rate).
+randomExponential :: Double
+                     -- ^ the mean (the reciprocal of the rate)
+                     -> Parameter Double
+randomExponential mu =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateExponential g mu
+
+-- | Computation that returns a new Erlang random number with the specified scale
+-- (the reciprocal of the rate) and integer shape.
+randomErlang :: Double
+                -- ^ the scale (the reciprocal of the rate)
+                -> Int
+                -- ^ the shape
+                -> Parameter Double
+randomErlang beta m =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateErlang g beta m
+
+-- | Computation that returns a new Poisson random number with the specified mean.
+randomPoisson :: Double
+                 -- ^ the mean
+                 -> Parameter Int
+randomPoisson mu =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generatePoisson g mu
+
+-- | Computation that returns a new binomial random number with the specified
+-- probability and trials.
+randomBinomial :: Double  -- ^ the probability
+                  -> Int  -- ^ the number of trials
+                  -> Parameter Int
+randomBinomial prob trials =
+  Parameter $ \r ->
+  let g = runGenerator r
+  in generateBinomial g prob trials
+
+-- | Computation that returns 'True' in case of success.
+randomTrue :: Double      -- ^ the probability of the success
+              -> Parameter Bool
+randomTrue p =
+  do x <- randomUniform 0 1
+     return (x <= p)
+
+-- | Computation that returns 'False' in case of success.
+randomFalse :: Double      -- ^ the probability of the success
+              -> Parameter Bool
+randomFalse p =
+  do x <- randomUniform 0 1
+     return (x > p)     
diff --git a/Simulation/Aivika/PriorityQueue.hs b/Simulation/Aivika/PriorityQueue.hs
--- a/Simulation/Aivika/PriorityQueue.hs
+++ b/Simulation/Aivika/PriorityQueue.hs
@@ -1,161 +1,163 @@
-
--- |
--- Module     : Simulation.Aivika.PriorityQueue
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- An imperative heap-based priority queue.
---
-module Simulation.Aivika.PriorityQueue 
-       (PriorityQueue, 
-        queueNull, 
-        queueCount,
-        newQueue, 
-        enqueue, 
-        dequeue, 
-        queueFront) where 
-
-import Data.Array
-import Data.Array.MArray.Safe
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-
--- | The 'PriorityQueue' type represents an imperative heap-based 
--- priority queue.
-data PriorityQueue a = 
-  PriorityQueue { pqKeys  :: IORef (IOUArray Int Double),
-                  pqVals  :: IORef (IOArray Int a),
-                  pqSize  :: IORef Int }
-
-increase :: PriorityQueue a -> Int -> IO ()
-increase pq capacity = 
-  do let keyRef = pqKeys pq
-         valRef = pqVals pq
-     keys <- readIORef keyRef
-     vals <- readIORef valRef
-     (il, iu)  <- getBounds keys
-     let len = (iu - il) + 1
-         capacity' | len < 64  = max capacity ((len + 1) * 2)
-                   | otherwise = max capacity ((len `div` 2) * 3)
-         il' = il
-         iu' = il + capacity' - 1
-     keys' <- newArray_ (il', iu')
-     vals' <- newArray_ (il', iu')
-     mapM_ (\i -> do { k <- readArray keys i; writeArray keys' i k }) [il..iu]
-     mapM_ (\i -> do { v <- readArray vals i; writeArray vals' i v }) [il..iu]
-     writeIORef keyRef keys'
-     writeIORef valRef vals'
-
-siftUp :: IOUArray Int Double 
-         -> IOArray Int a
-         -> Int -> Double -> a 
-         -> IO ()
-siftUp keys vals i k v =
-  if i == 0 
-  then do writeArray keys i k
-          writeArray vals i v
-  else do let n = (i - 1) `div` 2
-          kn <- readArray keys n
-          if k >= kn 
-            then do writeArray keys i k
-                    writeArray vals i v
-            else do vn <- readArray vals n
-                    writeArray keys i kn
-                    writeArray vals i vn
-                    siftUp keys vals n k v
-
-siftDown :: IOUArray Int Double 
-           -> IOArray Int a -> Int
-           -> Int -> Double -> a 
-           -> IO ()
-siftDown keys vals size i k v =
-  if i >= (size `div` 2)
-  then do writeArray keys i k
-          writeArray vals i v
-  else do let n  = 2 * i + 1
-              n' = n + 1
-          kn  <- readArray keys n
-          if n' >= size 
-            then if k <= kn
-                 then do writeArray keys i k
-                         writeArray vals i v
-                 else do vn <- readArray vals n
-                         writeArray keys i kn
-                         writeArray vals i vn
-                         siftDown keys vals size n k v
-            else do kn' <- readArray keys n'
-                    let n''  = if kn > kn' then n' else n
-                        kn'' = min kn' kn
-                    if k <= kn''
-                      then do writeArray keys i k
-                              writeArray vals i v
-                      else do vn'' <- readArray vals n''
-                              writeArray keys i kn''
-                              writeArray vals i vn''
-                              siftDown keys vals size n'' k v
-
--- | Test whether the priority queue is empty.
-queueNull :: PriorityQueue a -> IO Bool
-queueNull pq =
-  do size <- readIORef (pqSize pq)
-     return $ size == 0
-
--- | Return the number of elements in the priority queue.
-queueCount :: PriorityQueue a -> IO Int
-queueCount pq = readIORef (pqSize pq)
-
--- | Create a new priority queue.
-newQueue :: IO (PriorityQueue a)
-newQueue =
-  do keys <- newArray_ (0, 10)
-     vals <- newArray_ (0, 10)
-     keyRef  <- newIORef keys
-     valRef  <- newIORef vals
-     sizeRef <- newIORef 0
-     return PriorityQueue { pqKeys = keyRef, 
-                            pqVals = valRef, 
-                            pqSize = sizeRef }
-
--- | Enqueue a new element with the specified priority.
-enqueue :: PriorityQueue a -> Double -> a -> IO ()
-enqueue pq k v =
-  do i <- readIORef (pqSize pq)
-     keys <- readIORef (pqKeys pq)
-     (il, iu) <- getBounds keys
-     when (i >= iu - il) $ increase pq (i + 2)  -- plus one element on the end
-     writeIORef (pqSize pq) (i + 1)
-     keys <- readIORef (pqKeys pq)  -- it can be another! (side-effect)
-     vals <- readIORef (pqVals pq)
-     siftUp keys vals i k v
-
--- | Dequeue the element with the minimal priority.
-dequeue :: PriorityQueue a -> IO ()
-dequeue pq =
-  do size <- readIORef (pqSize pq)
-     when (size == 0) $ error "Empty priority queue: dequeue"
-     let i = size - 1
-     writeIORef (pqSize pq) i
-     keys <- readIORef (pqKeys pq)
-     vals <- readIORef (pqVals pq)
-     k  <- readArray keys i
-     v  <- readArray vals i
-     k0 <- readArray keys size
-     v0 <- readArray vals size
-     writeArray keys i k0
-     writeArray vals i v0
-     siftDown keys vals i 0 k v
-
--- | Return the element with the minimal priority.
-queueFront :: PriorityQueue a -> IO (Double, a)
-queueFront pq =
-  do size <- readIORef (pqSize pq)
-     when (size == 0) $ error "Empty priority queue: front"
-     keys <- readIORef (pqKeys pq)
-     vals <- readIORef (pqVals pq)
-     k <- readArray keys 0
-     v <- readArray vals 0
-     return (k, v)
+
+-- |
+-- Module     : Simulation.Aivika.PriorityQueue
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- An imperative heap-based priority queue.
+--
+module Simulation.Aivika.PriorityQueue 
+       (PriorityQueue, 
+        queueNull, 
+        queueCount,
+        newQueue, 
+        enqueue, 
+        dequeue, 
+        queueFront) where 
+
+import Data.Array
+import Data.Array.MArray.Safe
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+
+-- | The 'PriorityQueue' type represents an imperative heap-based 
+-- priority queue.
+data PriorityQueue a = 
+  PriorityQueue { pqKeys  :: IORef (IOUArray Int Double),
+                  pqVals  :: IORef (IOArray Int a),
+                  pqSize  :: IORef Int }
+
+increase :: PriorityQueue a -> Int -> IO ()
+increase pq capacity = 
+  do let keyRef = pqKeys pq
+         valRef = pqVals pq
+     keys <- readIORef keyRef
+     vals <- readIORef valRef
+     (il, iu)  <- getBounds keys
+     let len = (iu - il) + 1
+         capacity' | len < 64  = max capacity ((len + 1) * 2)
+                   | otherwise = max capacity ((len `div` 2) * 3)
+         il' = il
+         iu' = il + capacity' - 1
+     keys' <- newArray_ (il', iu')
+     vals' <- newArray_ (il', iu')
+     mapM_ (\i -> do { k <- readArray keys i; writeArray keys' i k }) [il..iu]
+     mapM_ (\i -> do { v <- readArray vals i; writeArray vals' i v }) [il..iu]
+     writeIORef keyRef keys'
+     writeIORef valRef vals'
+
+siftUp :: IOUArray Int Double 
+         -> IOArray Int a
+         -> Int -> Double -> a 
+         -> IO ()
+siftUp keys vals i k v =
+  if i == 0 
+  then do writeArray keys i k
+          writeArray vals i v
+  else do let n = (i - 1) `div` 2
+          kn <- readArray keys n
+          if k >= kn 
+            then do writeArray keys i k
+                    writeArray vals i v
+            else do vn <- readArray vals n
+                    writeArray keys i kn
+                    writeArray vals i vn
+                    siftUp keys vals n k v
+
+siftDown :: IOUArray Int Double 
+           -> IOArray Int a -> Int
+           -> Int -> Double -> a 
+           -> IO ()
+siftDown keys vals size i k v =
+  if i >= (size `div` 2)
+  then do writeArray keys i k
+          writeArray vals i v
+  else do let n  = 2 * i + 1
+              n' = n + 1
+          kn  <- readArray keys n
+          if n' >= size 
+            then if k <= kn
+                 then do writeArray keys i k
+                         writeArray vals i v
+                 else do vn <- readArray vals n
+                         writeArray keys i kn
+                         writeArray vals i vn
+                         siftDown keys vals size n k v
+            else do kn' <- readArray keys n'
+                    let n''  = if kn > kn' then n' else n
+                        kn'' = min kn' kn
+                    if k <= kn''
+                      then do writeArray keys i k
+                              writeArray vals i v
+                      else do vn'' <- readArray vals n''
+                              writeArray keys i kn''
+                              writeArray vals i vn''
+                              siftDown keys vals size n'' k v
+
+-- | Test whether the priority queue is empty.
+queueNull :: PriorityQueue a -> IO Bool
+queueNull pq =
+  do size <- readIORef (pqSize pq)
+     return $ size == 0
+
+-- | Return the number of elements in the priority queue.
+queueCount :: PriorityQueue a -> IO Int
+queueCount pq = readIORef (pqSize pq)
+
+-- | Create a new priority queue.
+newQueue :: IO (PriorityQueue a)
+newQueue =
+  do keys <- newArray_ (0, 10)
+     vals <- newArray_ (0, 10)
+     keyRef  <- newIORef keys
+     valRef  <- newIORef vals
+     sizeRef <- newIORef 0
+     return PriorityQueue { pqKeys = keyRef, 
+                            pqVals = valRef, 
+                            pqSize = sizeRef }
+
+-- | Enqueue a new element with the specified priority.
+enqueue :: PriorityQueue a -> Double -> a -> IO ()
+enqueue pq k v =
+  do i <- readIORef (pqSize pq)
+     keys <- readIORef (pqKeys pq)
+     (il, iu) <- getBounds keys
+     when (i >= iu - il) $ increase pq (i + 2)  -- plus one element on the end
+     writeIORef (pqSize pq) (i + 1)
+     keys <- readIORef (pqKeys pq)  -- it can be another! (side-effect)
+     vals <- readIORef (pqVals pq)
+     siftUp keys vals i k v
+
+-- | Dequeue the element with the minimal priority.
+dequeue :: PriorityQueue a -> IO ()
+dequeue pq =
+  do size <- readIORef (pqSize pq)
+     when (size == 0) $ error "Empty priority queue: dequeue"
+     let i = size - 1
+     writeIORef (pqSize pq) i
+     keys <- readIORef (pqKeys pq)
+     vals <- readIORef (pqVals pq)
+     k  <- readArray keys i
+     v  <- readArray vals i
+     let k0 = 0.0
+         v0 = undefined
+     -- k0 <- readArray keys size
+     -- v0 <- readArray vals size
+     writeArray keys i k0
+     writeArray vals i v0
+     siftDown keys vals i 0 k v
+
+-- | Return the element with the minimal priority.
+queueFront :: PriorityQueue a -> IO (Double, a)
+queueFront pq =
+  do size <- readIORef (pqSize pq)
+     when (size == 0) $ error "Empty priority queue: front"
+     keys <- readIORef (pqKeys pq)
+     vals <- readIORef (pqVals pq)
+     k <- readArray keys 0
+     v <- readArray vals 0
+     return (k, v)
diff --git a/Simulation/Aivika/Process.hs b/Simulation/Aivika/Process.hs
--- a/Simulation/Aivika/Process.hs
+++ b/Simulation/Aivika/Process.hs
@@ -1,82 +1,82 @@
-
--- |
--- Module     : Simulation.Aivika.Process
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- A value in the 'Process' monad represents a discontinuous process that 
--- can suspend in any simulation time point and then resume later in the same 
--- or another time point. 
--- 
--- The process of this type can involve the 'Event', 'Dynamics' and 'Simulation'
--- computations. Moreover, a value in the @Process@ monad can be run within
--- the @Event@ computation.
---
--- A value of the 'ProcessId' type is just an identifier of such a process.
---
--- The characteristic property of the @Process@ type is function 'holdProcess'
--- that suspends the current process for the specified time interval.
---
-module Simulation.Aivika.Process
-       (-- * Process Monad
-        ProcessId,
-        Process,
-        ProcessLift(..),
-        -- * Running Process
-        runProcess,
-        runProcessUsingId,
-        runProcessInStartTime,
-        runProcessInStartTimeUsingId,
-        runProcessInStopTime,
-        runProcessInStopTimeUsingId,
-        -- * Spawning Processes
-        spawnProcess,
-        spawnProcessUsingId,
-        -- * Enqueueing Process
-        enqueueProcess,
-        enqueueProcessUsingId,
-        -- * Creating Process Identifier
-        newProcessId,
-        processId,
-        processUsingId,
-        -- * Holding, Interrupting, Passivating and Canceling Process
-        holdProcess,
-        interruptProcess,
-        processInterrupted,
-        passivateProcess,
-        processPassive,
-        reactivateProcess,
-        cancelProcessWithId,
-        cancelProcess,
-        processCancelled,
-        processCancelling,
-        whenCancellingProcess,
-        -- * Awaiting Signal
-        processAwait,
-        -- * Yield of Process
-        processYield,
-        -- * Process Timeout
-        timeoutProcess,
-        timeoutProcessUsingId,
-        -- * Parallelizing Processes
-        processParallel,
-        processParallelUsingIds,
-        processParallel_,
-        processParallelUsingIds_,
-        -- * Exception Handling
-        catchProcess,
-        finallyProcess,
-        throwProcess,
-        -- * Utilities
-        zipProcessParallel,
-        zip3ProcessParallel,
-        unzipProcess,
-        -- * Memoizing Process
-        memoProcess,
-        -- * Never Ending Process
-        neverProcess) where
-
-import Simulation.Aivika.Internal.Process
+
+-- |
+-- Module     : Simulation.Aivika.Process
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- A value in the 'Process' monad represents a discontinuous process that 
+-- can suspend in any simulation time point and then resume later in the same 
+-- or another time point. 
+-- 
+-- The process of this type can involve the 'Event', 'Dynamics' and 'Simulation'
+-- computations. Moreover, a value in the @Process@ monad can be run within
+-- the @Event@ computation.
+--
+-- A value of the 'ProcessId' type is just an identifier of such a process.
+--
+-- The characteristic property of the @Process@ type is function 'holdProcess'
+-- that suspends the current process for the specified time interval.
+--
+module Simulation.Aivika.Process
+       (-- * Process Monad
+        ProcessId,
+        Process,
+        ProcessLift(..),
+        -- * Running Process
+        runProcess,
+        runProcessUsingId,
+        runProcessInStartTime,
+        runProcessInStartTimeUsingId,
+        runProcessInStopTime,
+        runProcessInStopTimeUsingId,
+        -- * Spawning Processes
+        spawnProcess,
+        spawnProcessUsingId,
+        -- * Enqueueing Process
+        enqueueProcess,
+        enqueueProcessUsingId,
+        -- * Creating Process Identifier
+        newProcessId,
+        processId,
+        processUsingId,
+        -- * Holding, Interrupting, Passivating and Canceling Process
+        holdProcess,
+        interruptProcess,
+        processInterrupted,
+        passivateProcess,
+        processPassive,
+        reactivateProcess,
+        cancelProcessWithId,
+        cancelProcess,
+        processCancelled,
+        processCancelling,
+        whenCancellingProcess,
+        -- * Awaiting Signal
+        processAwait,
+        -- * Yield of Process
+        processYield,
+        -- * Process Timeout
+        timeoutProcess,
+        timeoutProcessUsingId,
+        -- * Parallelizing Processes
+        processParallel,
+        processParallelUsingIds,
+        processParallel_,
+        processParallelUsingIds_,
+        -- * Exception Handling
+        catchProcess,
+        finallyProcess,
+        throwProcess,
+        -- * Utilities
+        zipProcessParallel,
+        zip3ProcessParallel,
+        unzipProcess,
+        -- * Memoizing Process
+        memoProcess,
+        -- * Never Ending Process
+        neverProcess) where
+
+import Simulation.Aivika.Internal.Process
diff --git a/Simulation/Aivika/Processor.hs b/Simulation/Aivika/Processor.hs
--- a/Simulation/Aivika/Processor.hs
+++ b/Simulation/Aivika/Processor.hs
@@ -1,458 +1,458 @@
-
--- |
--- Module     : Simulation.Aivika.Processor
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The processor of simulation data.
---
-module Simulation.Aivika.Processor
-       (-- * Processor Type
-        Processor(..),
-        -- * Processor Primitives
-        emptyProcessor,
-        arrProcessor,
-        accumProcessor,
-        -- * Specifying Identifier
-        processorUsingId,
-        -- * Prefetch and Delay Processors
-        prefetchProcessor,
-        delayProcessor,
-        -- * Buffer Processor
-        bufferProcessor,
-        bufferProcessorLoop,
-        -- * Processing Queues
-        queueProcessor,
-        queueProcessorLoopMerging,
-        queueProcessorLoopSeq,
-        queueProcessorLoopParallel,
-        -- * Sequencing Processors
-        processorSeq,
-        -- * Parallelizing Processors
-        processorParallel,
-        processorQueuedParallel,
-        processorPrioritisingOutputParallel,
-        processorPrioritisingInputParallel,
-        processorPrioritisingInputOutputParallel,
-        -- * Arrival Processor
-        arrivalProcessor,
-        -- * Integrating with Signals
-        signalProcessor,
-        processorSignaling) where
-
-import qualified Control.Category as C
-import Control.Arrow
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Cont
-import Simulation.Aivika.Process
-import Simulation.Aivika.Stream
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Internal.Arrival
-
--- | Represents a processor of simulation data.
-newtype Processor a b =
-  Processor { runProcessor :: Stream a -> Stream b
-              -- ^ Run the processor.
-            }
-
-instance C.Category Processor where
-
-  id  = Processor id
-
-  Processor x . Processor y = Processor (x . y)
-
--- The implementation is based on article
--- A New Notation for Arrows by Ross Paterson,
--- although my streams are different and they
--- already depend on the Process monad,
--- while the pure streams were considered in the
--- mentioned article.
-  
-instance Arrow Processor where
-
-  arr = Processor . mapStream
-
-  first (Processor f) =
-    Processor $ \xys ->
-    Cons $
-    do (xs, ys) <- liftSimulation $ unzipStream xys
-       runStream $ zipStreamSeq (f xs) ys
-
-  second (Processor f) =
-    Processor $ \xys ->
-    Cons $
-    do (xs, ys) <- liftSimulation $ unzipStream xys
-       runStream $ zipStreamSeq xs (f ys)
-
-  Processor f *** Processor g =
-    Processor $ \xys ->
-    Cons $
-    do (xs, ys) <- liftSimulation $ unzipStream xys
-       runStream $ zipStreamSeq (f xs) (g ys)
-
-instance ArrowChoice Processor where
-
-  left (Processor f) =
-    Processor $ \xs ->
-    Cons $
-    do ys <- liftSimulation $ memoStream xs
-       runStream $ replaceLeftStream ys (f $ leftStream ys)
-
-  right (Processor f) =
-    Processor $ \xs ->
-    Cons $
-    do ys <- liftSimulation $ memoStream xs
-       runStream $ replaceRightStream ys (f $ rightStream ys)
-
-instance ArrowZero Processor where
-
-  zeroArrow = Processor $ const emptyStream
-
-instance ArrowPlus Processor where
-
-  (Processor f) <+> (Processor g) =
-    Processor $ \xs ->
-    Cons $
-    do [xs1, xs2] <- liftSimulation $ splitStream 2 xs
-       runStream $ mergeStreams (f xs1) (g xs2)
-
--- | A processor that never finishes its work producing an 'emptyStream'.
-emptyProcessor :: Processor a b
-emptyProcessor = Processor $ const emptyStream
-
--- | Create a simple processor by the specified handling function
--- that runs the discontinuous process for each input value to get the output.
-arrProcessor :: (a -> Process b) -> Processor a b
-arrProcessor = Processor . mapStreamM
-
--- | Accumulator that outputs a value determined by the supplied function.
-accumProcessor :: (acc -> a -> Process (acc, b)) -> acc -> Processor a b
-accumProcessor f acc =
-  Processor $ \xs -> Cons $ loop xs acc where
-    loop xs acc =
-      do (a, xs') <- runStream xs
-         (acc', b) <- f acc a
-         return (b, Cons $ loop xs' acc') 
-
--- | Create a processor that will use the specified process identifier.
--- It can be useful to refer to the underlying 'Process' computation which
--- can be passivated, interrupted, canceled and so on. See also the
--- 'processUsingId' function for more details.
-processorUsingId :: ProcessId -> Processor a b -> Processor a b
-processorUsingId pid (Processor f) =
-  Processor $ Cons . processUsingId pid . runStream . f
-
--- | Launches the specified processors in parallel consuming the same input
--- stream and producing a combined output stream.
---
--- If you don't know what the enqueue strategies to apply, then
--- you will probably need 'FCFS' for the both parameters, or
--- function 'processorParallel' that does namely this.
-processorQueuedParallel :: (EnqueueStrategy si qi,
-                            EnqueueStrategy so qo)
-                           => si
-                           -- ^ the strategy applied for enqueuing the input data
-                           -> so
-                           -- ^ the strategy applied for enqueuing the output data
-                           -> [Processor a b]
-                           -- ^ the processors to parallelize
-                           -> Processor a b
-                           -- ^ the parallelized processor
-processorQueuedParallel si so ps =
-  Processor $ \xs ->
-  Cons $
-  do let n = length ps
-     input <- liftSimulation $ splitStreamQueueing si n xs
-     let results = flip map (zip input ps) $ \(input, p) ->
-           runProcessor p input
-         output  = concatQueuedStreams so results
-     runStream output
-
--- | Launches the specified processors in parallel using priorities for combining the output.
-processorPrioritisingOutputParallel :: (EnqueueStrategy si qi,
-                                        PriorityQueueStrategy so qo po)
-                                       => si
-                                       -- ^ the strategy applied for enqueuing the input data
-                                       -> so
-                                       -- ^ the strategy applied for enqueuing the output data
-                                       -> [Processor a (po, b)]
-                                       -- ^ the processors to parallelize
-                                       -> Processor a b
-                                       -- ^ the parallelized processor
-processorPrioritisingOutputParallel si so ps =
-  Processor $ \xs ->
-  Cons $
-  do let n = length ps
-     input <- liftSimulation $ splitStreamQueueing si n xs
-     let results = flip map (zip input ps) $ \(input, p) ->
-           runProcessor p input
-         output  = concatPriorityStreams so results
-     runStream output
-
--- | Launches the specified processors in parallel using priorities for consuming the intput.
-processorPrioritisingInputParallel :: (PriorityQueueStrategy si qi pi,
-                                       EnqueueStrategy so qo)
-                                      => si
-                                      -- ^ the strategy applied for enqueuing the input data
-                                      -> so
-                                      -- ^ the strategy applied for enqueuing the output data
-                                      -> [(Stream pi, Processor a b)]
-                                      -- ^ the streams of input priorities and the processors
-                                      -- to parallelize
-                                      -> Processor a b
-                                      -- ^ the parallelized processor
-processorPrioritisingInputParallel si so ps =
-  Processor $ \xs ->
-  Cons $
-  do input <- liftSimulation $ splitStreamPrioritising si (map fst ps) xs
-     let results = flip map (zip input ps) $ \(input, (_, p)) ->
-           runProcessor p input
-         output  = concatQueuedStreams so results
-     runStream output
-
--- | Launches the specified processors in parallel using priorities for consuming
--- the input and combining the output.
-processorPrioritisingInputOutputParallel :: (PriorityQueueStrategy si qi pi,
-                                             PriorityQueueStrategy so qo po)
-                                            => si
-                                            -- ^ the strategy applied for enqueuing the input data
-                                            -> so
-                                            -- ^ the strategy applied for enqueuing the output data
-                                            -> [(Stream pi, Processor a (po, b))]
-                                            -- ^ the streams of input priorities and the processors
-                                            -- to parallelize
-                                            -> Processor a b
-                                            -- ^ the parallelized processor
-processorPrioritisingInputOutputParallel si so ps =
-  Processor $ \xs ->
-  Cons $
-  do input <- liftSimulation $ splitStreamPrioritising si (map fst ps) xs
-     let results = flip map (zip input ps) $ \(input, (_, p)) ->
-           runProcessor p input
-         output  = concatPriorityStreams so results
-     runStream output
-
--- | Launches the processors in parallel consuming the same input stream and producing
--- a combined output stream. This version applies the 'FCFS' strategy both for input
--- and output, which suits the most part of uses cases.
-processorParallel :: [Processor a b] -> Processor a b
-processorParallel = processorQueuedParallel FCFS FCFS
-
--- | Launches the processors sequentially using the 'prefetchProcessor' between them
--- to model an autonomous work of each of the processors specified.
-processorSeq :: [Processor a a] -> Processor a a
-processorSeq []  = emptyProcessor
-processorSeq [p] = p
-processorSeq (p : ps) = p >>> prefetchProcessor >>> processorSeq ps
-
--- | Create a buffer processor, where the process from the first argument
--- consumes the input stream but the stream passed in as the second argument
--- and produced usually by some other process is returned as an output.
--- This kind of processor is very useful for modeling the queues.
-bufferProcessor :: (Stream a -> Process ())
-                   -- ^ a separate process to consume the input 
-                   -> Stream b
-                   -- ^ the resulting stream of data
-                   -> Processor a b
-bufferProcessor consume output =
-  Processor $ \xs ->
-  Cons $
-  do spawnProcess CancelTogether (consume xs)
-     runStream output
-
--- | Like 'bufferProcessor' but allows creating a loop when some items
--- can be processed repeatedly. It is very useful for modeling the processors 
--- with queues and loop-backs.
-bufferProcessorLoop :: (Stream a -> Stream c -> Process ())
-                       -- ^ consume two streams: the input values of type @a@
-                       -- and the values of type @c@ returned by the loop
-                       -> Stream d
-                       -- ^ the stream of data that may become results
-                       -> Processor d (Either e b)
-                       -- ^ process and then decide what values of type @e@
-                       -- should be processed in the loop (this is a condition)
-                       -> Processor e c
-                       -- ^ process in the loop and then return a value
-                       -- of type @c@ to the input again (this is a loop body)
-                       -> Processor a b
-bufferProcessorLoop consume preoutput cond body =
-  Processor $ \xs ->
-  Cons $
-  do (reverted, output) <-
-       liftSimulation $
-       partitionEitherStream $
-       runProcessor cond preoutput
-     spawnProcess CancelTogether 
-       (consume xs $ runProcessor body reverted)
-     runStream output
-
--- | Return a processor with help of which we can model the queue.
---
--- Although the function doesn't refer to the queue directly, its main use case
--- is namely a processing of the queue. The first argument should be the enqueueing
--- operation, while the second argument should be the opposite dequeueing operation.
---
--- The reason is as follows. There are many possible combinations how the queues
--- can be modeled. There is no sense to enumerate all them creating a separate function
--- for each case. We can just use combinators to define exactly what we need.
---
--- So, the queue can lose the input items if the queue is full, or the input process
--- can suspend while the queue is full, or we can use priorities for enqueueing,
--- storing and dequeueing the items in different combinations. There are so many use
--- cases!
---
--- There is a hope that this function along with other similar functions from this
--- module is sufficient to cover the most important cases. Even if it is not sufficient
--- then you can use a more generic function 'bufferProcessor' which this function is
--- based on. In case of need, you can even write your own function from scratch. It is
--- quite easy actually.
-queueProcessor :: (a -> Process ())
-                  -- ^ enqueue the input item and wait
-                  -- while the queue is full if required
-                  -- so that there were no hanging items
-                  -> Process b
-                  -- ^ dequeue an output item
-                  -> Processor a b
-                  -- ^ the buffering processor
-queueProcessor enqueue dequeue =
-  bufferProcessor
-  (consumeStream enqueue)
-  (repeatProcess dequeue)
-
--- | Like 'queueProcessor' creates a queue processor but with a loop when some items 
--- can be processed and then added to the queue again. Also it allows specifying 
--- how two input streams of data can be merged.
-queueProcessorLoopMerging :: (Stream a -> Stream d -> Stream e)
-                             -- ^ merge two streams: the input values of type @a@
-                             -- and the values of type @d@ returned by the loop
-                             -> (e -> Process ())
-                             -- ^ enqueue the input item and wait
-                             -- while the queue is full if required
-                             -- so that there were no hanging items
-                             -> Process c
-                             -- ^ dequeue an item for the further processing
-                             -> Processor c (Either f b)
-                             -- ^ process and then decide what values of type @f@
-                             -- should be processed in the loop (this is a condition)
-                             -> Processor f d
-                             -- ^ process in the loop and then return a value
-                             -- of type @d@ to the queue again (this is a loop body)
-                             -> Processor a b
-                             -- ^ the buffering processor
-queueProcessorLoopMerging merge enqueue dequeue =
-  bufferProcessorLoop
-  (\bs cs ->
-    consumeStream enqueue $
-    merge bs cs)
-  (repeatProcess dequeue)
-
--- | Like 'queueProcessorLoopMerging' creates a queue processor with a loop when
--- some items can be processed and then added to the queue again. Only it sequentially 
--- merges two input streams of data: one stream that come from the external source and 
--- another stream of data returned by the loop. The first stream has a priority over 
--- the second one.
-queueProcessorLoopSeq :: (a -> Process ())
-                         -- ^ enqueue the input item and wait
-                         -- while the queue is full if required
-                         -- so that there were no hanging items
-                         -> Process c
-                         -- ^ dequeue an item for the further processing
-                         -> Processor c (Either e b)
-                         -- ^ process and then decide what values of type @e@
-                         -- should be processed in the loop (this is a condition)
-                         -> Processor e a
-                         -- ^ process in the loop and then return a value
-                         -- of type @a@ to the queue again (this is a loop body)
-                         -> Processor a b
-                         -- ^ the buffering processor
-queueProcessorLoopSeq =
-  queueProcessorLoopMerging mergeStreams
-
--- | Like 'queueProcessorLoopMerging' creates a queue processor with a loop when
--- some items can be processed and then added to the queue again. Only it runs two 
--- simultaneous processes to enqueue the input streams of data: one stream that come 
--- from the external source and another stream of data returned by the loop.
-queueProcessorLoopParallel :: (a -> Process ())
-                              -- ^ enqueue the input item and wait
-                              -- while the queue is full if required
-                              -- so that there were no hanging items
-                              -> Process c
-                              -- ^ dequeue an item for the further processing
-                              -> Processor c (Either e b)
-                              -- ^ process and then decide what values of type @e@
-                              -- should be processed in the loop (this is a condition)
-                              -> Processor e a
-                              -- ^ process in the loop and then return a value
-                              -- of type @a@ to the queue again (this is a loop body)
-                              -> Processor a b
-                              -- ^ the buffering processor
-queueProcessorLoopParallel enqueue dequeue =
-  bufferProcessorLoop
-  (\bs cs ->
-    do spawnProcess CancelTogether $
-         consumeStream enqueue bs
-       spawnProcess CancelTogether $
-         consumeStream enqueue cs)
-  (repeatProcess dequeue)
-
--- | This is a prefetch processor that requests for one more data item from 
--- the input in advance while the latest item is not yet fully processed in 
--- the chain of streams, usually by other processors.
---
--- You can think of this as the prefetched processor could place its latest 
--- data item in some temporary space for later use, which is very useful 
--- for modeling a sequence of separate and independent work places.
-prefetchProcessor :: Processor a a
-prefetchProcessor = Processor prefetchStream
-
--- | Convert the specified signal transform to a processor.
---
--- The processor may return data with delay as the values are requested by demand.
--- Consider using the 'arrivalSignal' function to provide with the information
--- about the time points at which the signal was actually triggered.
---
--- The point is that the 'Stream' used in the 'Processor' is requested outside, 
--- while the 'Signal' is triggered inside. They are different by nature. 
--- The former is passive, while the latter is active.
---
--- Cancel the processor's process to unsubscribe from the signals provided.
-signalProcessor :: (Signal a -> Signal b) -> Processor a b
-signalProcessor f =
-  Processor $ \xs ->
-  Cons $
-  do sa <- streamSignal xs
-     sb <- signalStream (f sa)
-     runStream sb
-
--- | Convert the specified processor to a signal transform. 
---
--- The processor may return data with delay as the values are requested by demand.
--- Consider using the 'arrivalSignal' function to provide with the information
--- about the time points at which the signal was actually triggered.
---
--- The point is that the 'Stream' used in the 'Processor' is requested outside, 
--- while the 'Signal' is triggered inside. They are different by nature.
--- The former is passive, while the latter is active.
---
--- Cancel the returned process to unsubscribe from the signal specified.
-processorSignaling :: Processor a b -> Signal a -> Process (Signal b)
-processorSignaling (Processor f) sa =
-  do xs <- signalStream sa
-     let ys = f xs
-     streamSignal ys
-
--- | A processor that adds the information about the time points at which 
--- the original stream items were received by demand.
-arrivalProcessor :: Processor a (Arrival a)
-arrivalProcessor = Processor arrivalStream
-
--- | A processor that delays the input stream by one step using the specified initial value.
-delayProcessor :: a -> Processor a a
-delayProcessor a0 = Processor $ delayStream a0
+
+-- |
+-- Module     : Simulation.Aivika.Processor
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The processor of simulation data.
+--
+module Simulation.Aivika.Processor
+       (-- * Processor Type
+        Processor(..),
+        -- * Processor Primitives
+        emptyProcessor,
+        arrProcessor,
+        accumProcessor,
+        -- * Specifying Identifier
+        processorUsingId,
+        -- * Prefetch and Delay Processors
+        prefetchProcessor,
+        delayProcessor,
+        -- * Buffer Processor
+        bufferProcessor,
+        bufferProcessorLoop,
+        -- * Processing Queues
+        queueProcessor,
+        queueProcessorLoopMerging,
+        queueProcessorLoopSeq,
+        queueProcessorLoopParallel,
+        -- * Sequencing Processors
+        processorSeq,
+        -- * Parallelizing Processors
+        processorParallel,
+        processorQueuedParallel,
+        processorPrioritisingOutputParallel,
+        processorPrioritisingInputParallel,
+        processorPrioritisingInputOutputParallel,
+        -- * Arrival Processor
+        arrivalProcessor,
+        -- * Integrating with Signals
+        signalProcessor,
+        processorSignaling) where
+
+import qualified Control.Category as C
+import Control.Arrow
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Cont
+import Simulation.Aivika.Process
+import Simulation.Aivika.Stream
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Internal.Arrival
+
+-- | Represents a processor of simulation data.
+newtype Processor a b =
+  Processor { runProcessor :: Stream a -> Stream b
+              -- ^ Run the processor.
+            }
+
+instance C.Category Processor where
+
+  id  = Processor id
+
+  Processor x . Processor y = Processor (x . y)
+
+-- The implementation is based on article
+-- A New Notation for Arrows by Ross Paterson,
+-- although my streams are different and they
+-- already depend on the Process monad,
+-- while the pure streams were considered in the
+-- mentioned article.
+  
+instance Arrow Processor where
+
+  arr = Processor . mapStream
+
+  first (Processor f) =
+    Processor $ \xys ->
+    Cons $
+    do (xs, ys) <- liftSimulation $ unzipStream xys
+       runStream $ zipStreamSeq (f xs) ys
+
+  second (Processor f) =
+    Processor $ \xys ->
+    Cons $
+    do (xs, ys) <- liftSimulation $ unzipStream xys
+       runStream $ zipStreamSeq xs (f ys)
+
+  Processor f *** Processor g =
+    Processor $ \xys ->
+    Cons $
+    do (xs, ys) <- liftSimulation $ unzipStream xys
+       runStream $ zipStreamSeq (f xs) (g ys)
+
+instance ArrowChoice Processor where
+
+  left (Processor f) =
+    Processor $ \xs ->
+    Cons $
+    do ys <- liftSimulation $ memoStream xs
+       runStream $ replaceLeftStream ys (f $ leftStream ys)
+
+  right (Processor f) =
+    Processor $ \xs ->
+    Cons $
+    do ys <- liftSimulation $ memoStream xs
+       runStream $ replaceRightStream ys (f $ rightStream ys)
+
+instance ArrowZero Processor where
+
+  zeroArrow = Processor $ const emptyStream
+
+instance ArrowPlus Processor where
+
+  (Processor f) <+> (Processor g) =
+    Processor $ \xs ->
+    Cons $
+    do [xs1, xs2] <- liftSimulation $ splitStream 2 xs
+       runStream $ mergeStreams (f xs1) (g xs2)
+
+-- | A processor that never finishes its work producing an 'emptyStream'.
+emptyProcessor :: Processor a b
+emptyProcessor = Processor $ const emptyStream
+
+-- | Create a simple processor by the specified handling function
+-- that runs the discontinuous process for each input value to get the output.
+arrProcessor :: (a -> Process b) -> Processor a b
+arrProcessor = Processor . mapStreamM
+
+-- | Accumulator that outputs a value determined by the supplied function.
+accumProcessor :: (acc -> a -> Process (acc, b)) -> acc -> Processor a b
+accumProcessor f acc =
+  Processor $ \xs -> Cons $ loop xs acc where
+    loop xs acc =
+      do (a, xs') <- runStream xs
+         (acc', b) <- f acc a
+         return (b, Cons $ loop xs' acc') 
+
+-- | Create a processor that will use the specified process identifier.
+-- It can be useful to refer to the underlying 'Process' computation which
+-- can be passivated, interrupted, canceled and so on. See also the
+-- 'processUsingId' function for more details.
+processorUsingId :: ProcessId -> Processor a b -> Processor a b
+processorUsingId pid (Processor f) =
+  Processor $ Cons . processUsingId pid . runStream . f
+
+-- | Launches the specified processors in parallel consuming the same input
+-- stream and producing a combined output stream.
+--
+-- If you don't know what the enqueue strategies to apply, then
+-- you will probably need 'FCFS' for the both parameters, or
+-- function 'processorParallel' that does namely this.
+processorQueuedParallel :: (EnqueueStrategy si,
+                            EnqueueStrategy so)
+                           => si
+                           -- ^ the strategy applied for enqueuing the input data
+                           -> so
+                           -- ^ the strategy applied for enqueuing the output data
+                           -> [Processor a b]
+                           -- ^ the processors to parallelize
+                           -> Processor a b
+                           -- ^ the parallelized processor
+processorQueuedParallel si so ps =
+  Processor $ \xs ->
+  Cons $
+  do let n = length ps
+     input <- liftSimulation $ splitStreamQueueing si n xs
+     let results = flip map (zip input ps) $ \(input, p) ->
+           runProcessor p input
+         output  = concatQueuedStreams so results
+     runStream output
+
+-- | Launches the specified processors in parallel using priorities for combining the output.
+processorPrioritisingOutputParallel :: (EnqueueStrategy si,
+                                        PriorityQueueStrategy so po)
+                                       => si
+                                       -- ^ the strategy applied for enqueuing the input data
+                                       -> so
+                                       -- ^ the strategy applied for enqueuing the output data
+                                       -> [Processor a (po, b)]
+                                       -- ^ the processors to parallelize
+                                       -> Processor a b
+                                       -- ^ the parallelized processor
+processorPrioritisingOutputParallel si so ps =
+  Processor $ \xs ->
+  Cons $
+  do let n = length ps
+     input <- liftSimulation $ splitStreamQueueing si n xs
+     let results = flip map (zip input ps) $ \(input, p) ->
+           runProcessor p input
+         output  = concatPriorityStreams so results
+     runStream output
+
+-- | Launches the specified processors in parallel using priorities for consuming the intput.
+processorPrioritisingInputParallel :: (PriorityQueueStrategy si pi,
+                                       EnqueueStrategy so)
+                                      => si
+                                      -- ^ the strategy applied for enqueuing the input data
+                                      -> so
+                                      -- ^ the strategy applied for enqueuing the output data
+                                      -> [(Stream pi, Processor a b)]
+                                      -- ^ the streams of input priorities and the processors
+                                      -- to parallelize
+                                      -> Processor a b
+                                      -- ^ the parallelized processor
+processorPrioritisingInputParallel si so ps =
+  Processor $ \xs ->
+  Cons $
+  do input <- liftSimulation $ splitStreamPrioritising si (map fst ps) xs
+     let results = flip map (zip input ps) $ \(input, (_, p)) ->
+           runProcessor p input
+         output  = concatQueuedStreams so results
+     runStream output
+
+-- | Launches the specified processors in parallel using priorities for consuming
+-- the input and combining the output.
+processorPrioritisingInputOutputParallel :: (PriorityQueueStrategy si pi,
+                                             PriorityQueueStrategy so po)
+                                            => si
+                                            -- ^ the strategy applied for enqueuing the input data
+                                            -> so
+                                            -- ^ the strategy applied for enqueuing the output data
+                                            -> [(Stream pi, Processor a (po, b))]
+                                            -- ^ the streams of input priorities and the processors
+                                            -- to parallelize
+                                            -> Processor a b
+                                            -- ^ the parallelized processor
+processorPrioritisingInputOutputParallel si so ps =
+  Processor $ \xs ->
+  Cons $
+  do input <- liftSimulation $ splitStreamPrioritising si (map fst ps) xs
+     let results = flip map (zip input ps) $ \(input, (_, p)) ->
+           runProcessor p input
+         output  = concatPriorityStreams so results
+     runStream output
+
+-- | Launches the processors in parallel consuming the same input stream and producing
+-- a combined output stream. This version applies the 'FCFS' strategy both for input
+-- and output, which suits the most part of uses cases.
+processorParallel :: [Processor a b] -> Processor a b
+processorParallel = processorQueuedParallel FCFS FCFS
+
+-- | Launches the processors sequentially using the 'prefetchProcessor' between them
+-- to model an autonomous work of each of the processors specified.
+processorSeq :: [Processor a a] -> Processor a a
+processorSeq []  = emptyProcessor
+processorSeq [p] = p
+processorSeq (p : ps) = p >>> prefetchProcessor >>> processorSeq ps
+
+-- | Create a buffer processor, where the process from the first argument
+-- consumes the input stream but the stream passed in as the second argument
+-- and produced usually by some other process is returned as an output.
+-- This kind of processor is very useful for modeling the queues.
+bufferProcessor :: (Stream a -> Process ())
+                   -- ^ a separate process to consume the input 
+                   -> Stream b
+                   -- ^ the resulting stream of data
+                   -> Processor a b
+bufferProcessor consume output =
+  Processor $ \xs ->
+  Cons $
+  do spawnProcess CancelTogether (consume xs)
+     runStream output
+
+-- | Like 'bufferProcessor' but allows creating a loop when some items
+-- can be processed repeatedly. It is very useful for modeling the processors 
+-- with queues and loop-backs.
+bufferProcessorLoop :: (Stream a -> Stream c -> Process ())
+                       -- ^ consume two streams: the input values of type @a@
+                       -- and the values of type @c@ returned by the loop
+                       -> Stream d
+                       -- ^ the stream of data that may become results
+                       -> Processor d (Either e b)
+                       -- ^ process and then decide what values of type @e@
+                       -- should be processed in the loop (this is a condition)
+                       -> Processor e c
+                       -- ^ process in the loop and then return a value
+                       -- of type @c@ to the input again (this is a loop body)
+                       -> Processor a b
+bufferProcessorLoop consume preoutput cond body =
+  Processor $ \xs ->
+  Cons $
+  do (reverted, output) <-
+       liftSimulation $
+       partitionEitherStream $
+       runProcessor cond preoutput
+     spawnProcess CancelTogether 
+       (consume xs $ runProcessor body reverted)
+     runStream output
+
+-- | Return a processor with help of which we can model the queue.
+--
+-- Although the function doesn't refer to the queue directly, its main use case
+-- is namely a processing of the queue. The first argument should be the enqueueing
+-- operation, while the second argument should be the opposite dequeueing operation.
+--
+-- The reason is as follows. There are many possible combinations how the queues
+-- can be modeled. There is no sense to enumerate all them creating a separate function
+-- for each case. We can just use combinators to define exactly what we need.
+--
+-- So, the queue can lose the input items if the queue is full, or the input process
+-- can suspend while the queue is full, or we can use priorities for enqueueing,
+-- storing and dequeueing the items in different combinations. There are so many use
+-- cases!
+--
+-- There is a hope that this function along with other similar functions from this
+-- module is sufficient to cover the most important cases. Even if it is not sufficient
+-- then you can use a more generic function 'bufferProcessor' which this function is
+-- based on. In case of need, you can even write your own function from scratch. It is
+-- quite easy actually.
+queueProcessor :: (a -> Process ())
+                  -- ^ enqueue the input item and wait
+                  -- while the queue is full if required
+                  -- so that there were no hanging items
+                  -> Process b
+                  -- ^ dequeue an output item
+                  -> Processor a b
+                  -- ^ the buffering processor
+queueProcessor enqueue dequeue =
+  bufferProcessor
+  (consumeStream enqueue)
+  (repeatProcess dequeue)
+
+-- | Like 'queueProcessor' creates a queue processor but with a loop when some items 
+-- can be processed and then added to the queue again. Also it allows specifying 
+-- how two input streams of data can be merged.
+queueProcessorLoopMerging :: (Stream a -> Stream d -> Stream e)
+                             -- ^ merge two streams: the input values of type @a@
+                             -- and the values of type @d@ returned by the loop
+                             -> (e -> Process ())
+                             -- ^ enqueue the input item and wait
+                             -- while the queue is full if required
+                             -- so that there were no hanging items
+                             -> Process c
+                             -- ^ dequeue an item for the further processing
+                             -> Processor c (Either f b)
+                             -- ^ process and then decide what values of type @f@
+                             -- should be processed in the loop (this is a condition)
+                             -> Processor f d
+                             -- ^ process in the loop and then return a value
+                             -- of type @d@ to the queue again (this is a loop body)
+                             -> Processor a b
+                             -- ^ the buffering processor
+queueProcessorLoopMerging merge enqueue dequeue =
+  bufferProcessorLoop
+  (\bs cs ->
+    consumeStream enqueue $
+    merge bs cs)
+  (repeatProcess dequeue)
+
+-- | Like 'queueProcessorLoopMerging' creates a queue processor with a loop when
+-- some items can be processed and then added to the queue again. Only it sequentially 
+-- merges two input streams of data: one stream that come from the external source and 
+-- another stream of data returned by the loop. The first stream has a priority over 
+-- the second one.
+queueProcessorLoopSeq :: (a -> Process ())
+                         -- ^ enqueue the input item and wait
+                         -- while the queue is full if required
+                         -- so that there were no hanging items
+                         -> Process c
+                         -- ^ dequeue an item for the further processing
+                         -> Processor c (Either e b)
+                         -- ^ process and then decide what values of type @e@
+                         -- should be processed in the loop (this is a condition)
+                         -> Processor e a
+                         -- ^ process in the loop and then return a value
+                         -- of type @a@ to the queue again (this is a loop body)
+                         -> Processor a b
+                         -- ^ the buffering processor
+queueProcessorLoopSeq =
+  queueProcessorLoopMerging mergeStreams
+
+-- | Like 'queueProcessorLoopMerging' creates a queue processor with a loop when
+-- some items can be processed and then added to the queue again. Only it runs two 
+-- simultaneous processes to enqueue the input streams of data: one stream that come 
+-- from the external source and another stream of data returned by the loop.
+queueProcessorLoopParallel :: (a -> Process ())
+                              -- ^ enqueue the input item and wait
+                              -- while the queue is full if required
+                              -- so that there were no hanging items
+                              -> Process c
+                              -- ^ dequeue an item for the further processing
+                              -> Processor c (Either e b)
+                              -- ^ process and then decide what values of type @e@
+                              -- should be processed in the loop (this is a condition)
+                              -> Processor e a
+                              -- ^ process in the loop and then return a value
+                              -- of type @a@ to the queue again (this is a loop body)
+                              -> Processor a b
+                              -- ^ the buffering processor
+queueProcessorLoopParallel enqueue dequeue =
+  bufferProcessorLoop
+  (\bs cs ->
+    do spawnProcess CancelTogether $
+         consumeStream enqueue bs
+       spawnProcess CancelTogether $
+         consumeStream enqueue cs)
+  (repeatProcess dequeue)
+
+-- | This is a prefetch processor that requests for one more data item from 
+-- the input in advance while the latest item is not yet fully processed in 
+-- the chain of streams, usually by other processors.
+--
+-- You can think of this as the prefetched processor could place its latest 
+-- data item in some temporary space for later use, which is very useful 
+-- for modeling a sequence of separate and independent work places.
+prefetchProcessor :: Processor a a
+prefetchProcessor = Processor prefetchStream
+
+-- | Convert the specified signal transform to a processor.
+--
+-- The processor may return data with delay as the values are requested by demand.
+-- Consider using the 'arrivalSignal' function to provide with the information
+-- about the time points at which the signal was actually triggered.
+--
+-- The point is that the 'Stream' used in the 'Processor' is requested outside, 
+-- while the 'Signal' is triggered inside. They are different by nature. 
+-- The former is passive, while the latter is active.
+--
+-- Cancel the processor's process to unsubscribe from the signals provided.
+signalProcessor :: (Signal a -> Signal b) -> Processor a b
+signalProcessor f =
+  Processor $ \xs ->
+  Cons $
+  do sa <- streamSignal xs
+     sb <- signalStream (f sa)
+     runStream sb
+
+-- | Convert the specified processor to a signal transform. 
+--
+-- The processor may return data with delay as the values are requested by demand.
+-- Consider using the 'arrivalSignal' function to provide with the information
+-- about the time points at which the signal was actually triggered.
+--
+-- The point is that the 'Stream' used in the 'Processor' is requested outside, 
+-- while the 'Signal' is triggered inside. They are different by nature.
+-- The former is passive, while the latter is active.
+--
+-- Cancel the returned process to unsubscribe from the signal specified.
+processorSignaling :: Processor a b -> Signal a -> Process (Signal b)
+processorSignaling (Processor f) sa =
+  do xs <- signalStream sa
+     let ys = f xs
+     streamSignal ys
+
+-- | A processor that adds the information about the time points at which 
+-- the original stream items were received by demand.
+arrivalProcessor :: Processor a (Arrival a)
+arrivalProcessor = Processor arrivalStream
+
+-- | A processor that delays the input stream by one step using the specified initial value.
+delayProcessor :: a -> Processor a a
+delayProcessor a0 = Processor $ delayStream a0
diff --git a/Simulation/Aivika/Processor/RoundRobbin.hs b/Simulation/Aivika/Processor/RoundRobbin.hs
--- a/Simulation/Aivika/Processor/RoundRobbin.hs
+++ b/Simulation/Aivika/Processor/RoundRobbin.hs
@@ -1,58 +1,58 @@
-
--- |
--- Module     : Simulation.Aivika.Processor.RoundRobbin
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines the Round-Robbin processor.
---
-module Simulation.Aivika.Processor.RoundRobbin
-       (roundRobbinProcessor,
-        roundRobbinProcessorUsingIds) where
-
-import Control.Monad
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Event
-import Simulation.Aivika.Process
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Queue.Infinite
-
--- | Represents the Round-Robbin processor that tries to perform the task within
--- the specified timeout. If the task times out, then it is canceled and returned
--- to the processor again; otherwise, the successful result is redirected to output.
-roundRobbinProcessor :: Processor (Process Double, Process a) a
-roundRobbinProcessor =
-  Processor $
-  runProcessor roundRobbinProcessorUsingIds . mapStreamM f where
-    f (timeout, p) =
-      let x = do timeout' <- timeout
-                 pid <- liftSimulation newProcessId
-                 return (timeout', pid)
-      in return (x, p)
-
--- | Like 'roundRobbinProcessor' but allows specifying the process identifiers which
--- must be unique for every new attemp to perform the task even if the task is the same.
-roundRobbinProcessorUsingIds :: Processor (Process (Double, ProcessId), Process a) a
-roundRobbinProcessorUsingIds =
-  Processor $ \xs ->
-  Cons $
-  do q <- liftEvent newFCFSQueue
-     let process =
-           do t@(x, p) <- dequeue q
-              (timeout, pid) <- x
-              result <- timeoutProcessUsingId timeout pid p
-              case result of
-                Just a  -> return a
-                Nothing ->
-                  do liftEvent $ enqueue q t 
-                     process
-         processor =
-           bufferProcessor
-           (consumeStream $ liftEvent . enqueue q)
-           (repeatProcess process)
-     runStream $ runProcessor processor xs
+
+-- |
+-- Module     : Simulation.Aivika.Processor.RoundRobbin
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the Round-Robbin processor.
+--
+module Simulation.Aivika.Processor.RoundRobbin
+       (roundRobbinProcessor,
+        roundRobbinProcessorUsingIds) where
+
+import Control.Monad
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Event
+import Simulation.Aivika.Process
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Queue.Infinite
+
+-- | Represents the Round-Robbin processor that tries to perform the task within
+-- the specified timeout. If the task times out, then it is canceled and returned
+-- to the processor again; otherwise, the successful result is redirected to output.
+roundRobbinProcessor :: Processor (Process Double, Process a) a
+roundRobbinProcessor =
+  Processor $
+  runProcessor roundRobbinProcessorUsingIds . mapStreamM f where
+    f (timeout, p) =
+      let x = do timeout' <- timeout
+                 pid <- liftSimulation newProcessId
+                 return (timeout', pid)
+      in return (x, p)
+
+-- | Like 'roundRobbinProcessor' but allows specifying the process identifiers which
+-- must be unique for every new attemp to perform the task even if the task is the same.
+roundRobbinProcessorUsingIds :: Processor (Process (Double, ProcessId), Process a) a
+roundRobbinProcessorUsingIds =
+  Processor $ \xs ->
+  Cons $
+  do q <- liftEvent newFCFSQueue
+     let process =
+           do t@(x, p) <- dequeue q
+              (timeout, pid) <- x
+              result <- timeoutProcessUsingId timeout pid p
+              case result of
+                Just a  -> return a
+                Nothing ->
+                  do liftEvent $ enqueue q t 
+                     process
+         processor =
+           bufferProcessor
+           (consumeStream $ liftEvent . enqueue q)
+           (repeatProcess process)
+     runStream $ runProcessor processor xs
diff --git a/Simulation/Aivika/Queue.hs b/Simulation/Aivika/Queue.hs
--- a/Simulation/Aivika/Queue.hs
+++ b/Simulation/Aivika/Queue.hs
@@ -1,1103 +1,1097 @@
-
--- |
--- Module     : Simulation.Aivika.Queue
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines a queue that can use the specified strategies. So, having only
--- the 'FCFS', 'LCFS', 'SIRO' and 'StaticPriorities' strategies, you can build
--- 4 x 4 x 4 = 64 different types of the queue, each of them will have its own
--- behaviour.
---
-module Simulation.Aivika.Queue
-       (-- * Queue Types
-        FCFSQueue,
-        LCFSQueue,
-        SIROQueue,
-        PriorityQueue,
-        Queue,
-        -- * Creating Queue
-        newFCFSQueue,
-        newLCFSQueue,
-        newSIROQueue,
-        newPriorityQueue,
-        newQueue,
-        -- * Queue Properties and Activities
-        enqueueStrategy,
-        enqueueStoringStrategy,
-        dequeueStrategy,
-        queueNull,
-        queueFull,
-        queueMaxCount,
-        queueCount,
-        queueCountStats,
-        enqueueCount,
-        enqueueLostCount,
-        enqueueStoreCount,
-        dequeueCount,
-        dequeueExtractCount,
-        queueLoadFactor,
-        enqueueRate,
-        enqueueStoreRate,
-        dequeueRate,
-        dequeueExtractRate,
-        queueWaitTime,
-        queueTotalWaitTime,
-        enqueueWaitTime,
-        dequeueWaitTime,
-        queueRate,
-        -- * Dequeuing and Enqueuing
-        dequeue,
-        dequeueWithOutputPriority,
-        tryDequeue,
-        enqueue,
-        enqueueWithInputPriority,
-        enqueueWithStoringPriority,
-        enqueueWithInputStoringPriorities,
-        tryEnqueue,
-        tryEnqueueWithStoringPriority,
-        enqueueOrLost,
-        enqueueOrLost_,
-        enqueueWithStoringPriorityOrLost,
-        enqueueWithStoringPriorityOrLost_,
-        -- * Awaiting
-        waitWhileFullQueue,
-        -- * Summary
-        queueSummary,
-        -- * Derived Signals for Properties
-        queueNullChanged,
-        queueNullChanged_,
-        queueFullChanged,
-        queueFullChanged_,
-        queueCountChanged,
-        queueCountChanged_,
-        enqueueCountChanged,
-        enqueueCountChanged_,
-        enqueueLostCountChanged,
-        enqueueLostCountChanged_,
-        enqueueStoreCountChanged,
-        enqueueStoreCountChanged_,
-        dequeueCountChanged,
-        dequeueCountChanged_,
-        dequeueExtractCountChanged,
-        dequeueExtractCountChanged_,
-        queueLoadFactorChanged,
-        queueLoadFactorChanged_,
-        queueWaitTimeChanged,
-        queueWaitTimeChanged_,
-        queueTotalWaitTimeChanged,
-        queueTotalWaitTimeChanged_,
-        enqueueWaitTimeChanged,
-        enqueueWaitTimeChanged_,
-        dequeueWaitTimeChanged,
-        dequeueWaitTimeChanged_,
-        queueRateChanged,
-        queueRateChanged_,
-        -- * Basic Signals
-        enqueueInitiated,
-        enqueueStored,
-        enqueueLost,
-        dequeueRequested,
-        dequeueExtracted,
-        -- * Overall Signal
-        queueChanged_) where
-
-import Data.IORef
-import Data.Monoid
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Process
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Resource
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Statistics
-
-import qualified Simulation.Aivika.DoubleLinkedList as DLL 
-import qualified Simulation.Aivika.Vector as V
-import qualified Simulation.Aivika.PriorityQueue as PQ
-
--- | A type synonym for the ordinary FIFO queue also known as the FCFS
--- (First Come - First Serviced) queue.
-type FCFSQueue a =
-  Queue FCFS DLL.DoubleLinkedList FCFS DLL.DoubleLinkedList FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the ordinary LIFO queue also known as the LCFS
--- (Last Come - First Serviced) queue.
-type LCFSQueue a =
-  Queue FCFS DLL.DoubleLinkedList LCFS DLL.DoubleLinkedList FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the SIRO (Serviced in Random Order) queue.
-type SIROQueue a =
-  Queue FCFS DLL.DoubleLinkedList SIRO V.Vector FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the queue with static priorities applied when
--- storing the elements in the queue.
-type PriorityQueue a =
-  Queue FCFS DLL.DoubleLinkedList StaticPriorities PQ.PriorityQueue FCFS DLL.DoubleLinkedList a
-
--- | Represents a queue using the specified strategies for enqueueing (input), @si@,
--- internal storing (in memory), @sm@, and dequeueing (output), @so@, where @a@ denotes
--- the type of items stored in the queue. Types @qi@, @qm@ and @qo@ are
--- determined automatically and you should not care about them - they
--- are dependent types.
-data Queue si qi sm qm so qo a =
-  Queue { queueMaxCount :: Int,
-          -- ^ The queue capacity.
-          enqueueStrategy :: si,
-          -- ^ The strategy applied to the enqueueing (input) processes when the queue is full.
-          enqueueStoringStrategy :: sm,
-          -- ^ The strategy applied when storing (in memory) items in the queue.
-          dequeueStrategy :: so,
-          -- ^ The strategy applied to the dequeueing (output) processes when the queue is empty.
-          enqueueRes :: Resource si qi,
-          queueStore :: qm (QueueItem a),
-          dequeueRes :: Resource so qo,
-          queueCountRef :: IORef Int,
-          queueCountStatsRef :: IORef (TimingStats Int),
-          enqueueCountRef :: IORef Int,
-          enqueueLostCountRef :: IORef Int,
-          enqueueStoreCountRef :: IORef Int,
-          dequeueCountRef :: IORef Int,
-          dequeueExtractCountRef :: IORef Int,
-          queueWaitTimeRef :: IORef (SamplingStats Double),
-          queueTotalWaitTimeRef :: IORef (SamplingStats Double),
-          enqueueWaitTimeRef :: IORef (SamplingStats Double),
-          dequeueWaitTimeRef :: IORef (SamplingStats Double),
-          enqueueInitiatedSource :: SignalSource a,
-          enqueueLostSource :: SignalSource a,
-          enqueueStoredSource :: SignalSource a,
-          dequeueRequestedSource :: SignalSource (),
-          dequeueExtractedSource :: SignalSource a }
-
--- | Stores the item and a time of its enqueuing. 
-data QueueItem a =
-  QueueItem { itemValue :: a,
-              -- ^ Return the item value.
-              itemInputTime :: Double,
-              -- ^ Return the time of enqueuing the item.
-              itemStoringTime :: Double
-              -- ^ Return the time of storing in the queue, or
-              -- @itemInputTime@ before the actual storing when
-              -- the item was just enqueued.
-            }
-  
--- | Create a new FCFS queue with the specified capacity.  
-newFCFSQueue :: Int -> Event (FCFSQueue a)  
-newFCFSQueue = newQueue FCFS FCFS FCFS
-  
--- | Create a new LCFS queue with the specified capacity.  
-newLCFSQueue :: Int -> Event (LCFSQueue a)  
-newLCFSQueue = newQueue FCFS LCFS FCFS
-  
--- | Create a new SIRO queue with the specified capacity.  
-newSIROQueue :: Int -> Event (SIROQueue a)  
-newSIROQueue = newQueue FCFS SIRO FCFS
-  
--- | Create a new priority queue with the specified capacity.  
-newPriorityQueue :: Int -> Event (PriorityQueue a)  
-newPriorityQueue = newQueue FCFS StaticPriorities FCFS
-  
--- | Create a new queue with the specified strategies and capacity.  
-newQueue :: (QueueStrategy si qi,
-             QueueStrategy sm qm,
-             QueueStrategy so qo) =>
-            si
-            -- ^ the strategy applied to the enqueueing (input) processes when the queue is full
-            -> sm
-            -- ^ the strategy applied when storing items in the queue
-            -> so
-            -- ^ the strategy applied to the dequeueing (output) processes when the queue is empty
-            -> Int
-            -- ^ the queue capacity
-            -> Event (Queue si qi sm qm so qo a)  
-newQueue si sm so count =
-  do t  <- liftDynamics time
-     i  <- liftIO $ newIORef 0
-     is <- liftIO $ newIORef $ returnTimingStats t 0
-     ci <- liftIO $ newIORef 0
-     cl <- liftIO $ newIORef 0
-     cm <- liftIO $ newIORef 0
-     cr <- liftIO $ newIORef 0
-     co <- liftIO $ newIORef 0
-     ri <- liftSimulation $ newResourceWithMaxCount si count (Just count)
-     qm <- liftSimulation $ newStrategyQueue sm
-     ro <- liftSimulation $ newResourceWithMaxCount so 0 (Just count)
-     w  <- liftIO $ newIORef mempty
-     wt <- liftIO $ newIORef mempty
-     wi <- liftIO $ newIORef mempty
-     wo <- liftIO $ newIORef mempty 
-     s1 <- liftSimulation $ newSignalSource
-     s2 <- liftSimulation $ newSignalSource
-     s3 <- liftSimulation $ newSignalSource
-     s4 <- liftSimulation $ newSignalSource
-     s5 <- liftSimulation $ newSignalSource
-     return Queue { queueMaxCount = count,
-                    enqueueStrategy = si,
-                    enqueueStoringStrategy = sm,
-                    dequeueStrategy = so,
-                    enqueueRes = ri,
-                    queueStore = qm,
-                    dequeueRes = ro,
-                    queueCountRef = i,
-                    queueCountStatsRef = is,
-                    enqueueCountRef = ci,
-                    enqueueLostCountRef = cl,
-                    enqueueStoreCountRef = cm,
-                    dequeueCountRef = cr,
-                    dequeueExtractCountRef = co,
-                    queueWaitTimeRef = w,
-                    queueTotalWaitTimeRef = wt,
-                    enqueueWaitTimeRef = wi,
-                    dequeueWaitTimeRef = wo,
-                    enqueueInitiatedSource = s1,
-                    enqueueLostSource = s2,
-                    enqueueStoredSource = s3,
-                    dequeueRequestedSource = s4,
-                    dequeueExtractedSource = s5 }
-  
--- | Test whether the queue is empty.
---
--- See also 'queueNullChanged' and 'queueNullChanged_'.
-queueNull :: Queue si qi sm qm so qo a -> Event Bool
-queueNull q =
-  Event $ \p ->
-  do n <- readIORef (queueCountRef q)
-     return (n == 0)
-  
--- | Signal when the 'queueNull' property value has changed.
-queueNullChanged :: Queue si qi sm qm so qo a -> Signal Bool
-queueNullChanged q =
-  mapSignalM (const $ queueNull q) (queueNullChanged_ q)
-  
--- | Signal when the 'queueNull' property value has changed.
-queueNullChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueNullChanged_ = queueCountChanged_
-
--- | Test whether the queue is full.
---
--- See also 'queueFullChanged' and 'queueFullChanged_'.
-queueFull :: Queue si qi sm qm so qo a -> Event Bool
-queueFull q =
-  Event $ \p ->
-  do n <- readIORef (queueCountRef q)
-     return (n == queueMaxCount q)
-  
--- | Signal when the 'queueFull' property value has changed.
-queueFullChanged :: Queue si qi sm qm so qo a -> Signal Bool
-queueFullChanged q =
-  mapSignalM (const $ queueFull q) (queueFullChanged_ q)
-  
--- | Signal when the 'queueFull' property value has changed.
-queueFullChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueFullChanged_ = queueCountChanged_
-
--- | Return the current queue size.
---
--- See also 'queueCountStats', 'queueCountChanged' and 'queueCountChanged_'.
-queueCount :: Queue si qi sm qm so qo a -> Event Int
-queueCount q =
-  Event $ \p -> readIORef (queueCountRef q)
-
--- | Return the queue size statistics.
-queueCountStats :: Queue si qi sm qm so qo a -> Event (TimingStats Int)
-queueCountStats q =
-  Event $ \p -> readIORef (queueCountStatsRef q)
-  
--- | Signal when the 'queueCount' property value has changed.
-queueCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-queueCountChanged q =
-  mapSignalM (const $ queueCount q) (queueCountChanged_ q)
-  
--- | Signal when the 'queueCount' property value has changed.
-queueCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueCountChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return the total number of input items that were enqueued.
---
--- See also 'enqueueCountChanged' and 'enqueueCountChanged_'.
-enqueueCount :: Queue si qi sm qm so qo a -> Event Int
-enqueueCount q =
-  Event $ \p -> readIORef (enqueueCountRef q)
-  
--- | Signal when the 'enqueueCount' property value has changed.
-enqueueCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-enqueueCountChanged q =
-  mapSignalM (const $ enqueueCount q) (enqueueCountChanged_ q)
-  
--- | Signal when the 'enqueueCount' property value has changed.
-enqueueCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-enqueueCountChanged_ q =
-  mapSignal (const ()) (enqueueInitiated q)
-  
--- | Return the number of lost items.
---
--- See also 'enqueueLostCountChanged' and 'enqueueLostCountChanged_'.
-enqueueLostCount :: Queue si qi sm qm so qo a -> Event Int
-enqueueLostCount q =
-  Event $ \p -> readIORef (enqueueLostCountRef q)
-  
--- | Signal when the 'enqueueLostCount' property value has changed.
-enqueueLostCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-enqueueLostCountChanged q =
-  mapSignalM (const $ enqueueLostCount q) (enqueueLostCountChanged_ q)
-  
--- | Signal when the 'enqueueLostCount' property value has changed.
-enqueueLostCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-enqueueLostCountChanged_ q =
-  mapSignal (const ()) (enqueueLost q)
-      
--- | Return the total number of input items that were stored.
---
--- See also 'enqueueStoreCountChanged' and 'enqueueStoreCountChanged_'.
-enqueueStoreCount :: Queue si qi sm qm so qo a -> Event Int
-enqueueStoreCount q =
-  Event $ \p -> readIORef (enqueueStoreCountRef q)
-  
--- | Signal when the 'enqueueStoreCount' property value has changed.
-enqueueStoreCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-enqueueStoreCountChanged q =
-  mapSignalM (const $ enqueueStoreCount q) (enqueueStoreCountChanged_ q)
-  
--- | Signal when the 'enqueueStoreCount' property value has changed.
-enqueueStoreCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-enqueueStoreCountChanged_ q =
-  mapSignal (const ()) (enqueueStored q)
-      
--- | Return the total number of requests for dequeueing the items,
--- not taking into account the failed attempts to dequeue immediately
--- without suspension.
---
--- See also 'dequeueCountChanged' and 'dequeueCountChanged_'.
-dequeueCount :: Queue si qi sm qm so qo a -> Event Int
-dequeueCount q =
-  Event $ \p -> readIORef (dequeueCountRef q)
-      
--- | Signal when the 'dequeueCount' property value has changed.
-dequeueCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-dequeueCountChanged q =
-  mapSignalM (const $ dequeueCount q) (dequeueCountChanged_ q)
-  
--- | Signal when the 'dequeueCount' property value has changed.
-dequeueCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-dequeueCountChanged_ q =
-  mapSignal (const ()) (dequeueRequested q)
-      
--- | Return the total number of output items that were actually dequeued.
---
--- See also 'dequeueExtractCountChanged' and 'dequeueExtractCountChanged_'.
-dequeueExtractCount :: Queue si qi sm qm so qo a -> Event Int
-dequeueExtractCount q =
-  Event $ \p -> readIORef (dequeueExtractCountRef q)
-      
--- | Signal when the 'dequeueExtractCount' property value has changed.
-dequeueExtractCountChanged :: Queue si qi sm qm so qo a -> Signal Int
-dequeueExtractCountChanged q =
-  mapSignalM (const $ dequeueExtractCount q) (dequeueExtractCountChanged_ q)
-  
--- | Signal when the 'dequeueExtractCount' property value has changed.
-dequeueExtractCountChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-dequeueExtractCountChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return the load factor: the queue size divided by its maximum size.
---
--- See also 'queueLoadFactorChanged' and 'queueLoadFactorChanged_'.
-queueLoadFactor :: Queue si qi sm qm so qo a -> Event Double
-queueLoadFactor q =
-  Event $ \p ->
-  do x <- readIORef (queueCountRef q)
-     let y = queueMaxCount q
-     return (fromIntegral x / fromIntegral y)
-      
--- | Signal when the 'queueLoadFactor' property value has changed.
-queueLoadFactorChanged :: Queue si qi sm qm so qo a -> Signal Double
-queueLoadFactorChanged q =
-  mapSignalM (const $ queueLoadFactor q) (queueLoadFactorChanged_ q)
-  
--- | Signal when the 'queueLoadFactor' property value has changed.
-queueLoadFactorChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueLoadFactorChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (dequeueExtracted q)
-      
--- | Return the rate of the input items that were enqueued: how many items
--- per time.
-enqueueRate :: Queue si qi sm qm so qo a -> Event Double
-enqueueRate q =
-  Event $ \p ->
-  do x <- readIORef (enqueueCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the rate of the items that were stored: how many items
--- per time.
-enqueueStoreRate :: Queue si qi sm qm so qo a -> Event Double
-enqueueStoreRate q =
-  Event $ \p ->
-  do x <- readIORef (enqueueStoreCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the rate of the requests for dequeueing the items: how many requests
--- per time. It does not include the failed attempts to dequeue immediately
--- without suspension.
-dequeueRate :: Queue si qi sm qm so qo a -> Event Double
-dequeueRate q =
-  Event $ \p ->
-  do x <- readIORef (dequeueCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the rate of the output items that were actually dequeued: how many items
--- per time.
-dequeueExtractRate :: Queue si qi sm qm so qo a -> Event Double
-dequeueExtractRate q =
-  Event $ \p ->
-  do x <- readIORef (dequeueExtractCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the wait time from the time at which the item was stored in the queue to
--- the time at which it was dequeued.
---
--- See also 'queueWaitTimeChanged' and 'queueWaitTimeChanged_'.
-queueWaitTime :: Queue si qi sm qm so qo a -> Event (SamplingStats Double)
-queueWaitTime q =
-  Event $ \p -> readIORef (queueWaitTimeRef q)
-      
--- | Signal when the 'queueWaitTime' property value has changed.
-queueWaitTimeChanged :: Queue si qi sm qm so qo a -> Signal (SamplingStats Double)
-queueWaitTimeChanged q =
-  mapSignalM (const $ queueWaitTime q) (queueWaitTimeChanged_ q)
-  
--- | Signal when the 'queueWaitTime' property value has changed.
-queueWaitTimeChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueWaitTimeChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-      
--- | Return the total wait time from the time at which the enqueueing operation
--- was initiated to the time at which the item was dequeued.
---
--- In some sense, @queueTotalWaitTime == queueInputWaitTime + queueWaitTime@.
---
--- See also 'queueTotalWaitTimeChanged' and 'queueTotalWaitTimeChanged_'.
-queueTotalWaitTime :: Queue si qi sm qm so qo a -> Event (SamplingStats Double)
-queueTotalWaitTime q =
-  Event $ \p -> readIORef (queueTotalWaitTimeRef q)
-      
--- | Signal when the 'queueTotalWaitTime' property value has changed.
-queueTotalWaitTimeChanged :: Queue si qi sm qm so qo a -> Signal (SamplingStats Double)
-queueTotalWaitTimeChanged q =
-  mapSignalM (const $ queueTotalWaitTime q) (queueTotalWaitTimeChanged_ q)
-  
--- | Signal when the 'queueTotalWaitTime' property value has changed.
-queueTotalWaitTimeChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueTotalWaitTimeChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-      
--- | Return the enqueue wait time from the time at which the enqueueing operation
--- was initiated to the time at which the item was stored in the queue.
---
--- See also 'enqueueWaitTimeChanged' and 'enqueueWaitTimeChanged_'.
-enqueueWaitTime :: Queue si qi sm qm so qo a -> Event (SamplingStats Double)
-enqueueWaitTime q =
-  Event $ \p -> readIORef (enqueueWaitTimeRef q)
-      
--- | Signal when the 'enqueueWaitTime' property value has changed.
-enqueueWaitTimeChanged :: Queue si qi sm qm so qo a -> Signal (SamplingStats Double)
-enqueueWaitTimeChanged q =
-  mapSignalM (const $ enqueueWaitTime q) (enqueueWaitTimeChanged_ q)
-  
--- | Signal when the 'enqueueWaitTime' property value has changed.
-enqueueWaitTimeChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-enqueueWaitTimeChanged_ q =
-  mapSignal (const ()) (enqueueStored q)
-      
--- | Return the dequeue wait time from the time at which the item was requested
--- for dequeueing to the time at which it was actually dequeued.
---
--- See also 'dequeueWaitTimeChanged' and 'dequeueWaitTimeChanged_'.
-dequeueWaitTime :: Queue si qi sm qm so qo a -> Event (SamplingStats Double)
-dequeueWaitTime q =
-  Event $ \p -> readIORef (dequeueWaitTimeRef q)
-      
--- | Signal when the 'dequeueWaitTime' property value has changed.
-dequeueWaitTimeChanged :: Queue si qi sm qm so qo a -> Signal (SamplingStats Double)
-dequeueWaitTimeChanged q =
-  mapSignalM (const $ dequeueWaitTime q) (dequeueWaitTimeChanged_ q)
-  
--- | Signal when the 'dequeueWaitTime' property value has changed.
-dequeueWaitTimeChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-dequeueWaitTimeChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return a long-term average queue rate calculated as
--- the average queue size divided by the average wait time.
---
--- This value may be less than the actual arrival rate as the queue is
--- finite and new arrivals may be locked while the queue remains full.
---
--- See also 'queueRateChanged' and 'queueRateChanged_'.
-queueRate :: Queue si qi sm qm so qo a -> Event Double
-queueRate q =
-  Event $ \p ->
-  do x <- readIORef (queueCountStatsRef q)
-     y <- readIORef (queueWaitTimeRef q)
-     return (timingStatsMean x / samplingStatsMean y) 
-      
--- | Signal when the 'queueRate' property value has changed.
-queueRateChanged :: Queue si qi sm qm so qo a -> Signal Double
-queueRateChanged q =
-  mapSignalM (const $ queueRate q) (queueRateChanged_ q)
-      
--- | Signal when the 'queueRate' property value has changed.
-queueRateChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueRateChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Dequeue suspending the process if the queue is empty.
-dequeue :: (DequeueStrategy si qi,
-            DequeueStrategy sm qm,
-            EnqueueStrategy so qo)
-           => Queue si qi sm qm so qo a
-           -- ^ the queue
-           -> Process a
-           -- ^ the dequeued value
-dequeue q =
-  do t <- liftEvent $ dequeueRequest q
-     requestResource (dequeueRes q)
-     liftEvent $ dequeueExtract q t
-  
--- | Dequeue with the output priority suspending the process if the queue is empty.
-dequeueWithOutputPriority :: (DequeueStrategy si qi,
-                              DequeueStrategy sm qm,
-                              PriorityQueueStrategy so qo po)
-                             => Queue si qi sm qm so qo a
-                             -- ^ the queue
-                             -> po
-                             -- ^ the priority for output
-                             -> Process a
-                             -- ^ the dequeued value
-dequeueWithOutputPriority q po =
-  do t <- liftEvent $ dequeueRequest q
-     requestResourceWithPriority (dequeueRes q) po
-     liftEvent $ dequeueExtract q t
-  
--- | Try to dequeue immediately.
-tryDequeue :: (DequeueStrategy si qi,
-               DequeueStrategy sm qm)
-              => Queue si qi sm qm so qo a
-              -- ^ the queue
-              -> Event (Maybe a)
-              -- ^ the dequeued value of 'Nothing'
-tryDequeue q =
-  do x <- tryRequestResourceWithinEvent (dequeueRes q)
-     if x 
-       then do t <- dequeueRequest q
-               fmap Just $ dequeueExtract q t
-       else return Nothing
-
--- | Enqueue the item suspending the process if the queue is full.  
-enqueue :: (EnqueueStrategy si qi,
-            EnqueueStrategy sm qm,
-            DequeueStrategy so qo)
-           => Queue si qi sm qm so qo a
-           -- ^ the queue
-           -> a
-           -- ^ the item to enqueue
-           -> Process ()
-enqueue q a =
-  do i <- liftEvent $ enqueueInitiate q a
-     requestResource (enqueueRes q)
-     liftEvent $ enqueueStore q i
-     
--- | Enqueue with the input priority the item suspending the process if the queue is full.  
-enqueueWithInputPriority :: (PriorityQueueStrategy si qi pi,
-                             EnqueueStrategy sm qm,
-                             DequeueStrategy so qo)
-                            => Queue si qi sm qm so qo a
-                            -- ^ the queue
-                            -> pi
-                            -- ^ the priority for input
-                            -> a
-                            -- ^ the item to enqueue
-                            -> Process ()
-enqueueWithInputPriority q pi a =
-  do i <- liftEvent $ enqueueInitiate q a
-     requestResourceWithPriority (enqueueRes q) pi
-     liftEvent $ enqueueStore q i
-     
--- | Enqueue with the storing priority the item suspending the process if the queue is full.  
-enqueueWithStoringPriority :: (EnqueueStrategy si qi,
-                               PriorityQueueStrategy sm qm pm,
-                               DequeueStrategy so qo)
-                              => Queue si qi sm qm so qo a
-                              -- ^ the queue
-                              -> pm
-                              -- ^ the priority for storing
-                              -> a
-                              -- ^ the item to enqueue
-                              -> Process ()
-enqueueWithStoringPriority q pm a =
-  do i <- liftEvent $ enqueueInitiate q a
-     requestResource (enqueueRes q)
-     liftEvent $ enqueueStoreWithPriority q pm i
-     
--- | Enqueue with the input and storing priorities the item suspending the process if the queue is full.  
-enqueueWithInputStoringPriorities :: (PriorityQueueStrategy si qi pi,
-                                      PriorityQueueStrategy sm qm pm,
-                                      DequeueStrategy so qo)
-                                     => Queue si qi sm qm so qo a
-                                     -- ^ the queue
-                                     -> pi
-                                     -- ^ the priority for input
-                                     -> pm
-                                     -- ^ the priority for storing
-                                     -> a
-                                     -- ^ the item to enqueue
-                                     -> Process ()
-enqueueWithInputStoringPriorities q pi pm a =
-  do i <- liftEvent $ enqueueInitiate q a
-     requestResourceWithPriority (enqueueRes q) pi
-     liftEvent $ enqueueStoreWithPriority q pm i
-     
--- | Try to enqueue the item. Return 'False' in the monad if the queue is full.
-tryEnqueue :: (EnqueueStrategy sm qm,
-               DequeueStrategy so qo)
-              => Queue si qi sm qm so qo a
-              -- ^ the queue
-              -> a
-              -- ^ the item which we try to enqueue
-              -> Event Bool
-tryEnqueue q a =
-  do x <- tryRequestResourceWithinEvent (enqueueRes q)
-     if x 
-       then do enqueueInitiate q a >>= enqueueStore q
-               return True
-       else return False
-
--- | Try to enqueue with the storing priority the item. Return 'False' in
--- the monad if the queue is full.
-tryEnqueueWithStoringPriority :: (PriorityQueueStrategy sm qm pm,
-                                  DequeueStrategy so qo)
-                                 => Queue si qi sm qm so qo a
-                                 -- ^ the queue
-                                 -> pm
-                                 -- ^ the priority for storing
-                                 -> a
-                                 -- ^ the item which we try to enqueue
-                                 -> Event Bool
-tryEnqueueWithStoringPriority q pm a =
-  do x <- tryRequestResourceWithinEvent (enqueueRes q)
-     if x 
-       then do enqueueInitiate q a >>= enqueueStoreWithPriority q pm
-               return True
-       else return False
-
--- | Try to enqueue the item. If the queue is full then the item will be lost
--- and 'False' will be returned.
-enqueueOrLost :: (EnqueueStrategy sm qm,
-                  DequeueStrategy so qo)
-                 => Queue si qi sm qm so qo a
-                 -- ^ the queue
-                 -> a
-                 -- ^ the item which we try to enqueue
-                 -> Event Bool
-enqueueOrLost q a =
-  do x <- tryRequestResourceWithinEvent (enqueueRes q)
-     if x
-       then do enqueueInitiate q a >>= enqueueStore q
-               return True
-       else do enqueueDeny q a
-               return False
-
--- | Try to enqueue with the storing priority the item. If the queue is full
--- then the item will be lost and 'False' will be returned.
-enqueueWithStoringPriorityOrLost :: (PriorityQueueStrategy sm qm pm,
-                                     DequeueStrategy so qo)
-                                    => Queue si qi sm qm so qo a
-                                    -- ^ the queue
-                                    -> pm
-                                    -- ^ the priority for storing
-                                    -> a
-                                    -- ^ the item which we try to enqueue
-                                    -> Event Bool
-enqueueWithStoringPriorityOrLost q pm a =
-  do x <- tryRequestResourceWithinEvent (enqueueRes q)
-     if x
-       then do enqueueInitiate q a >>= enqueueStoreWithPriority q pm
-               return True
-       else do enqueueDeny q a
-               return False
-
--- | Try to enqueue the item. If the queue is full then the item will be lost.
-enqueueOrLost_ :: (EnqueueStrategy sm qm,
-                   DequeueStrategy so qo)
-                  => Queue si qi sm qm so qo a
-                  -- ^ the queue
-                  -> a
-                  -- ^ the item which we try to enqueue
-                  -> Event ()
-enqueueOrLost_ q a =
-  do x <- enqueueOrLost q a
-     return ()
-
--- | Try to enqueue with the storing priority the item. If the queue is full
--- then the item will be lost.
-enqueueWithStoringPriorityOrLost_ :: (PriorityQueueStrategy sm qm pm,
-                                      DequeueStrategy so qo)
-                                     => Queue si qi sm qm so qo a
-                                     -- ^ the queue
-                                     -> pm
-                                     -- ^ the priority for storing
-                                     -> a
-                                     -- ^ the item which we try to enqueue
-                                     -> Event ()
-enqueueWithStoringPriorityOrLost_ q pm a =
-  do x <- enqueueWithStoringPriorityOrLost q pm a
-     return ()
-
--- | Return a signal that notifies when the enqueuing operation is initiated.
-enqueueInitiated :: Queue si qi sm qm so qo a -> Signal a
-enqueueInitiated q = publishSignal (enqueueInitiatedSource q)
-
--- | Return a signal that notifies when the enqueuing operation is completed
--- and the item is stored in the internal memory of the queue.
-enqueueStored :: Queue si qi sm qm so qo a -> Signal a
-enqueueStored q = publishSignal (enqueueStoredSource q)
-
--- | Return a signal which notifies that the item was lost when 
--- attempting to add it to the full queue with help of
--- 'enqueueOrLost', 'enqueueOrLost_' or similar functions that imply
--- that the element can be lost. All their names are ending with @OrLost@
--- or @OrLost_@.
---
--- In other cases the enqueued items are not lost but the corresponded process
--- can suspend until the internal queue storage is freed. Although there is one
--- exception from this rule. If the process trying to enqueue a new element was
--- suspended but then canceled through 'cancelProcess' from the outside then
--- the item will not be added.
-enqueueLost :: Queue si qi sm qm so qo a -> Signal a
-enqueueLost q = publishSignal (enqueueLostSource q)
-
--- | Return a signal that notifies when the dequeuing operation was requested.
-dequeueRequested :: Queue si qi sm qm so qo a -> Signal ()
-dequeueRequested q = publishSignal (dequeueRequestedSource q)
-
--- | Return a signal that notifies when the item was extracted from the internal
--- storage of the queue and prepared for immediate receiving by the dequeuing process.
-dequeueExtracted :: Queue si qi sm qm so qo a -> Signal a
-dequeueExtracted q = publishSignal (dequeueExtractedSource q)
-
--- | Initiate the process of enqueuing the item.
-enqueueInitiate :: Queue si qi sm qm so qo a
-                   -- ^ the queue
-                   -> a
-                   -- ^ the item to be enqueued
-                   -> Event (QueueItem a)
-enqueueInitiate q a =
-  Event $ \p ->
-  do let t = pointTime p
-     modifyIORef' (enqueueCountRef q) (+ 1)
-     invokeEvent p $
-       triggerSignal (enqueueInitiatedSource q) a
-     return QueueItem { itemValue = a,
-                        itemInputTime = t,
-                        itemStoringTime = t  -- it will be updated soon
-                      }
-
--- | Store the item.
-enqueueStore :: (EnqueueStrategy sm qm,
-                 DequeueStrategy so qo)
-                => Queue si qi sm qm so qo a
-                -- ^ the queue
-                -> QueueItem a
-                -- ^ the item to be stored
-                -> Event ()
-enqueueStore q i =
-  Event $ \p ->
-  do let i' = i { itemStoringTime = pointTime p }  -- now we have the actual time of storing
-     invokeEvent p $
-       strategyEnqueue (enqueueStoringStrategy q) (queueStore q) i'
-     c <- readIORef (queueCountRef q)
-     let c' = c + 1
-         t  = pointTime p 
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (enqueueStoreCountRef q) (+ 1)
-     invokeEvent p $
-       enqueueStat q i'
-     invokeEvent p $
-       releaseResourceWithinEvent (dequeueRes q)
-     invokeEvent p $
-       triggerSignal (enqueueStoredSource q) (itemValue i')
-
--- | Store with the priority the item.
-enqueueStoreWithPriority :: (PriorityQueueStrategy sm qm pm,
-                             DequeueStrategy so qo)
-                            => Queue si qi sm qm so qo a
-                            -- ^ the queue
-                            -> pm
-                            -- ^ the priority for storing
-                            -> QueueItem a
-                            -- ^ the item to be enqueued
-                            -> Event ()
-enqueueStoreWithPriority q pm i =
-  Event $ \p ->
-  do let i' = i { itemStoringTime = pointTime p }  -- now we have the actual time of storing
-     invokeEvent p $
-       strategyEnqueueWithPriority (enqueueStoringStrategy q) (queueStore q) pm i'
-     c <- readIORef (queueCountRef q)
-     let c' = c + 1
-         t  = pointTime p
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (enqueueStoreCountRef q) (+ 1)
-     invokeEvent p $
-       enqueueStat q i'
-     invokeEvent p $
-       releaseResourceWithinEvent (dequeueRes q)
-     invokeEvent p $
-       triggerSignal (enqueueStoredSource q) (itemValue i')
-
--- | Deny the enqueuing.
-enqueueDeny :: Queue si qi sm qm so qo a
-               -- ^ the queue
-               -> a
-               -- ^ the item to be denied
-               -> Event ()
-enqueueDeny q a =
-  Event $ \p ->
-  do modifyIORef' (enqueueLostCountRef q) $ (+) 1
-     invokeEvent p $
-       triggerSignal (enqueueLostSource q) a
-
--- | Update the statistics for the input wait time of the enqueuing operation.
-enqueueStat :: Queue si qi sm qm so qo a
-               -- ^ the queue
-               -> QueueItem a
-               -- ^ the item and its input time
-               -> Event ()
-               -- ^ the action of updating the statistics
-enqueueStat q i =
-  Event $ \p ->
-  do let t0 = itemInputTime i
-         t1 = itemStoringTime i
-     modifyIORef' (enqueueWaitTimeRef q) $
-       addSamplingStats (t1 - t0)
-
--- | Accept the dequeuing request and return the current simulation time.
-dequeueRequest :: Queue si qi sm qm so qo a
-                 -- ^ the queue
-                 -> Event Double
-                 -- ^ the current time
-dequeueRequest q =
-  Event $ \p ->
-  do modifyIORef' (dequeueCountRef q) (+ 1)
-     invokeEvent p $
-       triggerSignal (dequeueRequestedSource q) ()
-     return $ pointTime p 
-
--- | Extract an item for the dequeuing request.  
-dequeueExtract :: (DequeueStrategy si qi,
-                   DequeueStrategy sm qm)
-                  => Queue si qi sm qm so qo a
-                  -- ^ the queue
-                  -> Double
-                  -- ^ the time of the dequeuing request
-                  -> Event a
-                  -- ^ the dequeued value
-dequeueExtract q t' =
-  Event $ \p ->
-  do i <- invokeEvent p $
-          strategyDequeue (enqueueStoringStrategy q) (queueStore q)
-     c <- readIORef (queueCountRef q)
-     let c' = c - 1
-         t  = pointTime p
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (dequeueExtractCountRef q) (+ 1)
-     invokeEvent p $
-       dequeueStat q t' i
-     invokeEvent p $
-       releaseResourceWithinEvent (enqueueRes q)
-     invokeEvent p $
-       triggerSignal (dequeueExtractedSource q) (itemValue i)
-     return $ itemValue i
-
--- | Update the statistics for the output wait time of the dequeuing operation
--- and the wait time of storing in the queue.
-dequeueStat :: Queue si qi sm qm so qo a
-               -- ^ the queue
-               -> Double
-               -- ^ the time of the dequeuing request
-               -> QueueItem a
-               -- ^ the item and its input time
-               -> Event ()
-               -- ^ the action of updating the statistics
-dequeueStat q t' i =
-  Event $ \p ->
-  do let t0 = itemInputTime i
-         t1 = itemStoringTime i
-         t  = pointTime p
-     modifyIORef' (dequeueWaitTimeRef q) $
-       addSamplingStats (t - t')
-     modifyIORef' (queueTotalWaitTimeRef q) $
-       addSamplingStats (t - t0)
-     modifyIORef' (queueWaitTimeRef q) $
-       addSamplingStats (t - t1)
-
--- | Wait while the queue is full.
-waitWhileFullQueue :: Queue si qi sm qm so qo a -> Process ()
-waitWhileFullQueue q =
-  do x <- liftEvent (queueFull q)
-     when x $
-       do processAwait (dequeueExtracted q)
-          waitWhileFullQueue q
-
--- | Signal whenever any property of the queue changes.
---
--- The property must have the corresponded signal. There are also characteristics
--- similar to the properties but that have no signals. As a rule, such characteristics
--- already depend on the simulation time and therefore they may change at any
--- time point.
-queueChanged_ :: Queue si qi sm qm so qo a -> Signal ()
-queueChanged_ q =
-  mapSignal (const ()) (enqueueInitiated q) <>
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (enqueueLost q) <>
-  dequeueRequested q <>
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return the summary for the queue with desciption of its
--- properties and activities using the specified indent.
-queueSummary :: (Show si, Show sm, Show so) => Queue si qi sm qm so qo a -> Int -> Event ShowS
-queueSummary q indent =
-  do let si = enqueueStrategy q
-         sm = enqueueStoringStrategy q
-         so = dequeueStrategy q
-     null <- queueNull q
-     full <- queueFull q
-     let maxCount = queueMaxCount q
-     count <- queueCount q
-     countStats <- queueCountStats q
-     enqueueCount <- enqueueCount q
-     enqueueLostCount <- enqueueLostCount q
-     enqueueStoreCount <- enqueueStoreCount q
-     dequeueCount <- dequeueCount q
-     dequeueExtractCount <- dequeueExtractCount q
-     loadFactor <- queueLoadFactor q
-     enqueueRate <- enqueueRate q
-     enqueueStoreRate <- enqueueStoreRate q
-     dequeueRate <- dequeueRate q
-     dequeueExtractRate <- dequeueExtractRate q
-     waitTime <- queueWaitTime q
-     totalWaitTime <- queueTotalWaitTime q
-     enqueueWaitTime <- enqueueWaitTime q
-     dequeueWaitTime <- dequeueWaitTime q
-     let tab = replicate indent ' '
-     return $
-       showString tab .
-       showString "the enqueueing (input) strategy = " .
-       shows si .
-       showString "\n" .
-       showString tab .
-       showString "the storing (memory) strategy = " .
-       shows sm .
-       showString "\n" .
-       showString tab .
-       showString "the dequeueing (output) strategy = " .
-       shows so .
-       showString "\n" .
-       showString tab .
-       showString "empty? = " .
-       shows null .
-       showString "\n" .
-       showString tab .
-       showString "full? = " .
-       shows full .
-       showString "\n" .
-       showString tab .
-       showString "max. capacity = " .
-       shows maxCount .
-       showString "\n" .
-       showString tab .
-       showString "size = " .
-       shows count .
-       showString "\n" .
-       showString tab .
-       showString "the size statistics = \n\n" .
-       timingStatsSummary countStats (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the enqueue count (number of the input items that were enqueued) = " .
-       shows enqueueCount .
-       showString "\n" .
-       showString tab .
-       showString "the enqueue lost count (number of the lost items) = " .
-       shows enqueueLostCount .
-       showString "\n" .
-       showString tab .
-       showString "the enqueue store count (number of the input items that were stored) = " .
-       shows enqueueStoreCount .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue count (number of requests for dequeueing an item) = " .
-       shows dequeueCount .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue extract count (number of the output items that were dequeued) = " .
-       shows dequeueExtractCount .
-       showString "\n" .
-       showString tab .
-       showString "the load factor (size / max. capacity) = " .
-       shows loadFactor .
-       showString "\n" .
-       showString tab .
-       showString "the enqueue rate (how many input items were enqueued per time) = " .
-       shows enqueueRate .
-       showString "\n" .
-       showString tab .
-       showString "the enqueue store rate (how many input items were stored per time) = " .
-       shows enqueueStoreRate .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue rate (how many requests for dequeueing per time) = " .
-       shows dequeueRate .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue extract rate (how many output items were dequeued per time) = " .
-       shows dequeueExtractRate .
-       showString "\n" .
-       showString tab .
-       showString "the wait time (when was stored -> when was dequeued) = \n\n" .
-       samplingStatsSummary waitTime (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the total wait time (when the enqueueing was initiated -> when was dequeued) = \n\n" .
-       samplingStatsSummary totalWaitTime (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the enqueue wait time (when the enqueueing was initiated -> when was stored) = \n\n" .
-       samplingStatsSummary enqueueWaitTime (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the dequeue wait time (when was requested for dequeueing -> when was dequeued) = \n\n" .
-       samplingStatsSummary dequeueWaitTime (2 + indent)
+
+-- |
+-- Module     : Simulation.Aivika.Queue
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines a queue that can use the specified strategies. So, having only
+-- the 'FCFS', 'LCFS', 'SIRO' and 'StaticPriorities' strategies, you can build
+-- 4 x 4 x 4 = 64 different types of the queue, each of them will have its own
+-- behaviour.
+--
+module Simulation.Aivika.Queue
+       (-- * Queue Types
+        FCFSQueue,
+        LCFSQueue,
+        SIROQueue,
+        PriorityQueue,
+        Queue,
+        -- * Creating Queue
+        newFCFSQueue,
+        newLCFSQueue,
+        newSIROQueue,
+        newPriorityQueue,
+        newQueue,
+        -- * Queue Properties and Activities
+        enqueueStrategy,
+        enqueueStoringStrategy,
+        dequeueStrategy,
+        queueNull,
+        queueFull,
+        queueMaxCount,
+        queueCount,
+        queueCountStats,
+        enqueueCount,
+        enqueueLostCount,
+        enqueueStoreCount,
+        dequeueCount,
+        dequeueExtractCount,
+        queueLoadFactor,
+        enqueueRate,
+        enqueueStoreRate,
+        dequeueRate,
+        dequeueExtractRate,
+        queueWaitTime,
+        queueTotalWaitTime,
+        enqueueWaitTime,
+        dequeueWaitTime,
+        queueRate,
+        -- * Dequeuing and Enqueuing
+        dequeue,
+        dequeueWithOutputPriority,
+        tryDequeue,
+        enqueue,
+        enqueueWithInputPriority,
+        enqueueWithStoringPriority,
+        enqueueWithInputStoringPriorities,
+        tryEnqueue,
+        tryEnqueueWithStoringPriority,
+        enqueueOrLost,
+        enqueueOrLost_,
+        enqueueWithStoringPriorityOrLost,
+        enqueueWithStoringPriorityOrLost_,
+        -- * Awaiting
+        waitWhileFullQueue,
+        -- * Summary
+        queueSummary,
+        -- * Derived Signals for Properties
+        queueNullChanged,
+        queueNullChanged_,
+        queueFullChanged,
+        queueFullChanged_,
+        queueCountChanged,
+        queueCountChanged_,
+        enqueueCountChanged,
+        enqueueCountChanged_,
+        enqueueLostCountChanged,
+        enqueueLostCountChanged_,
+        enqueueStoreCountChanged,
+        enqueueStoreCountChanged_,
+        dequeueCountChanged,
+        dequeueCountChanged_,
+        dequeueExtractCountChanged,
+        dequeueExtractCountChanged_,
+        queueLoadFactorChanged,
+        queueLoadFactorChanged_,
+        queueWaitTimeChanged,
+        queueWaitTimeChanged_,
+        queueTotalWaitTimeChanged,
+        queueTotalWaitTimeChanged_,
+        enqueueWaitTimeChanged,
+        enqueueWaitTimeChanged_,
+        dequeueWaitTimeChanged,
+        dequeueWaitTimeChanged_,
+        queueRateChanged,
+        queueRateChanged_,
+        -- * Basic Signals
+        enqueueInitiated,
+        enqueueStored,
+        enqueueLost,
+        dequeueRequested,
+        dequeueExtracted,
+        -- * Overall Signal
+        queueChanged_) where
+
+import Data.IORef
+import Data.Monoid
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Process
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Resource
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Statistics
+
+import qualified Simulation.Aivika.DoubleLinkedList as DLL 
+import qualified Simulation.Aivika.Vector as V
+import qualified Simulation.Aivika.PriorityQueue as PQ
+
+-- | A type synonym for the ordinary FIFO queue also known as the FCFS
+-- (First Come - First Serviced) queue.
+type FCFSQueue a = Queue FCFS FCFS FCFS a
+
+-- | A type synonym for the ordinary LIFO queue also known as the LCFS
+-- (Last Come - First Serviced) queue.
+type LCFSQueue a = Queue FCFS LCFS FCFS a
+
+-- | A type synonym for the SIRO (Serviced in Random Order) queue.
+type SIROQueue a = Queue FCFS SIRO FCFS a
+
+-- | A type synonym for the queue with static priorities applied when
+-- storing the elements in the queue.
+type PriorityQueue a = Queue FCFS StaticPriorities FCFS a
+
+-- | Represents a queue using the specified strategies for enqueueing (input), @si@,
+-- internal storing (in memory), @sm@, and dequeueing (output), @so@, where @a@ denotes
+-- the type of items stored in the queue.
+data Queue si sm so a =
+  Queue { queueMaxCount :: Int,
+          -- ^ The queue capacity.
+          enqueueStrategy :: si,
+          -- ^ The strategy applied to the enqueueing (input) processes when the queue is full.
+          enqueueStoringStrategy :: sm,
+          -- ^ The strategy applied when storing (in memory) items in the queue.
+          dequeueStrategy :: so,
+          -- ^ The strategy applied to the dequeueing (output) processes when the queue is empty.
+          enqueueRes :: Resource si,
+          queueStore :: StrategyQueue sm (QueueItem a),
+          dequeueRes :: Resource so,
+          queueCountRef :: IORef Int,
+          queueCountStatsRef :: IORef (TimingStats Int),
+          enqueueCountRef :: IORef Int,
+          enqueueLostCountRef :: IORef Int,
+          enqueueStoreCountRef :: IORef Int,
+          dequeueCountRef :: IORef Int,
+          dequeueExtractCountRef :: IORef Int,
+          queueWaitTimeRef :: IORef (SamplingStats Double),
+          queueTotalWaitTimeRef :: IORef (SamplingStats Double),
+          enqueueWaitTimeRef :: IORef (SamplingStats Double),
+          dequeueWaitTimeRef :: IORef (SamplingStats Double),
+          enqueueInitiatedSource :: SignalSource a,
+          enqueueLostSource :: SignalSource a,
+          enqueueStoredSource :: SignalSource a,
+          dequeueRequestedSource :: SignalSource (),
+          dequeueExtractedSource :: SignalSource a }
+
+-- | Stores the item and a time of its enqueuing. 
+data QueueItem a =
+  QueueItem { itemValue :: a,
+              -- ^ Return the item value.
+              itemInputTime :: Double,
+              -- ^ Return the time of enqueuing the item.
+              itemStoringTime :: Double
+              -- ^ Return the time of storing in the queue, or
+              -- @itemInputTime@ before the actual storing when
+              -- the item was just enqueued.
+            }
+  
+-- | Create a new FCFS queue with the specified capacity.  
+newFCFSQueue :: Int -> Event (FCFSQueue a)  
+newFCFSQueue = newQueue FCFS FCFS FCFS
+  
+-- | Create a new LCFS queue with the specified capacity.  
+newLCFSQueue :: Int -> Event (LCFSQueue a)  
+newLCFSQueue = newQueue FCFS LCFS FCFS
+  
+-- | Create a new SIRO queue with the specified capacity.  
+newSIROQueue :: Int -> Event (SIROQueue a)  
+newSIROQueue = newQueue FCFS SIRO FCFS
+  
+-- | Create a new priority queue with the specified capacity.  
+newPriorityQueue :: Int -> Event (PriorityQueue a)  
+newPriorityQueue = newQueue FCFS StaticPriorities FCFS
+  
+-- | Create a new queue with the specified strategies and capacity.  
+newQueue :: (QueueStrategy si,
+             QueueStrategy sm,
+             QueueStrategy so) =>
+            si
+            -- ^ the strategy applied to the enqueueing (input) processes when the queue is full
+            -> sm
+            -- ^ the strategy applied when storing items in the queue
+            -> so
+            -- ^ the strategy applied to the dequeueing (output) processes when the queue is empty
+            -> Int
+            -- ^ the queue capacity
+            -> Event (Queue si sm so a)  
+newQueue si sm so count =
+  do t  <- liftDynamics time
+     i  <- liftIO $ newIORef 0
+     is <- liftIO $ newIORef $ returnTimingStats t 0
+     ci <- liftIO $ newIORef 0
+     cl <- liftIO $ newIORef 0
+     cm <- liftIO $ newIORef 0
+     cr <- liftIO $ newIORef 0
+     co <- liftIO $ newIORef 0
+     ri <- liftSimulation $ newResourceWithMaxCount si count (Just count)
+     qm <- liftSimulation $ newStrategyQueue sm
+     ro <- liftSimulation $ newResourceWithMaxCount so 0 (Just count)
+     w  <- liftIO $ newIORef mempty
+     wt <- liftIO $ newIORef mempty
+     wi <- liftIO $ newIORef mempty
+     wo <- liftIO $ newIORef mempty 
+     s1 <- liftSimulation $ newSignalSource
+     s2 <- liftSimulation $ newSignalSource
+     s3 <- liftSimulation $ newSignalSource
+     s4 <- liftSimulation $ newSignalSource
+     s5 <- liftSimulation $ newSignalSource
+     return Queue { queueMaxCount = count,
+                    enqueueStrategy = si,
+                    enqueueStoringStrategy = sm,
+                    dequeueStrategy = so,
+                    enqueueRes = ri,
+                    queueStore = qm,
+                    dequeueRes = ro,
+                    queueCountRef = i,
+                    queueCountStatsRef = is,
+                    enqueueCountRef = ci,
+                    enqueueLostCountRef = cl,
+                    enqueueStoreCountRef = cm,
+                    dequeueCountRef = cr,
+                    dequeueExtractCountRef = co,
+                    queueWaitTimeRef = w,
+                    queueTotalWaitTimeRef = wt,
+                    enqueueWaitTimeRef = wi,
+                    dequeueWaitTimeRef = wo,
+                    enqueueInitiatedSource = s1,
+                    enqueueLostSource = s2,
+                    enqueueStoredSource = s3,
+                    dequeueRequestedSource = s4,
+                    dequeueExtractedSource = s5 }
+  
+-- | Test whether the queue is empty.
+--
+-- See also 'queueNullChanged' and 'queueNullChanged_'.
+queueNull :: Queue si sm so a -> Event Bool
+queueNull q =
+  Event $ \p ->
+  do n <- readIORef (queueCountRef q)
+     return (n == 0)
+  
+-- | Signal when the 'queueNull' property value has changed.
+queueNullChanged :: Queue si sm so a -> Signal Bool
+queueNullChanged q =
+  mapSignalM (const $ queueNull q) (queueNullChanged_ q)
+  
+-- | Signal when the 'queueNull' property value has changed.
+queueNullChanged_ :: Queue si sm so a -> Signal ()
+queueNullChanged_ = queueCountChanged_
+
+-- | Test whether the queue is full.
+--
+-- See also 'queueFullChanged' and 'queueFullChanged_'.
+queueFull :: Queue si sm so a -> Event Bool
+queueFull q =
+  Event $ \p ->
+  do n <- readIORef (queueCountRef q)
+     return (n == queueMaxCount q)
+  
+-- | Signal when the 'queueFull' property value has changed.
+queueFullChanged :: Queue si sm so a -> Signal Bool
+queueFullChanged q =
+  mapSignalM (const $ queueFull q) (queueFullChanged_ q)
+  
+-- | Signal when the 'queueFull' property value has changed.
+queueFullChanged_ :: Queue si sm so a -> Signal ()
+queueFullChanged_ = queueCountChanged_
+
+-- | Return the current queue size.
+--
+-- See also 'queueCountStats', 'queueCountChanged' and 'queueCountChanged_'.
+queueCount :: Queue si sm so a -> Event Int
+queueCount q =
+  Event $ \p -> readIORef (queueCountRef q)
+
+-- | Return the queue size statistics.
+queueCountStats :: Queue si sm so a -> Event (TimingStats Int)
+queueCountStats q =
+  Event $ \p -> readIORef (queueCountStatsRef q)
+  
+-- | Signal when the 'queueCount' property value has changed.
+queueCountChanged :: Queue si sm so a -> Signal Int
+queueCountChanged q =
+  mapSignalM (const $ queueCount q) (queueCountChanged_ q)
+  
+-- | Signal when the 'queueCount' property value has changed.
+queueCountChanged_ :: Queue si sm so a -> Signal ()
+queueCountChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return the total number of input items that were enqueued.
+--
+-- See also 'enqueueCountChanged' and 'enqueueCountChanged_'.
+enqueueCount :: Queue si sm so a -> Event Int
+enqueueCount q =
+  Event $ \p -> readIORef (enqueueCountRef q)
+  
+-- | Signal when the 'enqueueCount' property value has changed.
+enqueueCountChanged :: Queue si sm so a -> Signal Int
+enqueueCountChanged q =
+  mapSignalM (const $ enqueueCount q) (enqueueCountChanged_ q)
+  
+-- | Signal when the 'enqueueCount' property value has changed.
+enqueueCountChanged_ :: Queue si sm so a -> Signal ()
+enqueueCountChanged_ q =
+  mapSignal (const ()) (enqueueInitiated q)
+  
+-- | Return the number of lost items.
+--
+-- See also 'enqueueLostCountChanged' and 'enqueueLostCountChanged_'.
+enqueueLostCount :: Queue si sm so a -> Event Int
+enqueueLostCount q =
+  Event $ \p -> readIORef (enqueueLostCountRef q)
+  
+-- | Signal when the 'enqueueLostCount' property value has changed.
+enqueueLostCountChanged :: Queue si sm so a -> Signal Int
+enqueueLostCountChanged q =
+  mapSignalM (const $ enqueueLostCount q) (enqueueLostCountChanged_ q)
+  
+-- | Signal when the 'enqueueLostCount' property value has changed.
+enqueueLostCountChanged_ :: Queue si sm so a -> Signal ()
+enqueueLostCountChanged_ q =
+  mapSignal (const ()) (enqueueLost q)
+      
+-- | Return the total number of input items that were stored.
+--
+-- See also 'enqueueStoreCountChanged' and 'enqueueStoreCountChanged_'.
+enqueueStoreCount :: Queue si sm so a -> Event Int
+enqueueStoreCount q =
+  Event $ \p -> readIORef (enqueueStoreCountRef q)
+  
+-- | Signal when the 'enqueueStoreCount' property value has changed.
+enqueueStoreCountChanged :: Queue si sm so a -> Signal Int
+enqueueStoreCountChanged q =
+  mapSignalM (const $ enqueueStoreCount q) (enqueueStoreCountChanged_ q)
+  
+-- | Signal when the 'enqueueStoreCount' property value has changed.
+enqueueStoreCountChanged_ :: Queue si sm so a -> Signal ()
+enqueueStoreCountChanged_ q =
+  mapSignal (const ()) (enqueueStored q)
+      
+-- | Return the total number of requests for dequeueing the items,
+-- not taking into account the failed attempts to dequeue immediately
+-- without suspension.
+--
+-- See also 'dequeueCountChanged' and 'dequeueCountChanged_'.
+dequeueCount :: Queue si sm so a -> Event Int
+dequeueCount q =
+  Event $ \p -> readIORef (dequeueCountRef q)
+      
+-- | Signal when the 'dequeueCount' property value has changed.
+dequeueCountChanged :: Queue si sm so a -> Signal Int
+dequeueCountChanged q =
+  mapSignalM (const $ dequeueCount q) (dequeueCountChanged_ q)
+  
+-- | Signal when the 'dequeueCount' property value has changed.
+dequeueCountChanged_ :: Queue si sm so a -> Signal ()
+dequeueCountChanged_ q =
+  mapSignal (const ()) (dequeueRequested q)
+      
+-- | Return the total number of output items that were actually dequeued.
+--
+-- See also 'dequeueExtractCountChanged' and 'dequeueExtractCountChanged_'.
+dequeueExtractCount :: Queue si sm so a -> Event Int
+dequeueExtractCount q =
+  Event $ \p -> readIORef (dequeueExtractCountRef q)
+      
+-- | Signal when the 'dequeueExtractCount' property value has changed.
+dequeueExtractCountChanged :: Queue si sm so a -> Signal Int
+dequeueExtractCountChanged q =
+  mapSignalM (const $ dequeueExtractCount q) (dequeueExtractCountChanged_ q)
+  
+-- | Signal when the 'dequeueExtractCount' property value has changed.
+dequeueExtractCountChanged_ :: Queue si sm so a -> Signal ()
+dequeueExtractCountChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return the load factor: the queue size divided by its maximum size.
+--
+-- See also 'queueLoadFactorChanged' and 'queueLoadFactorChanged_'.
+queueLoadFactor :: Queue si sm so a -> Event Double
+queueLoadFactor q =
+  Event $ \p ->
+  do x <- readIORef (queueCountRef q)
+     let y = queueMaxCount q
+     return (fromIntegral x / fromIntegral y)
+      
+-- | Signal when the 'queueLoadFactor' property value has changed.
+queueLoadFactorChanged :: Queue si sm so a -> Signal Double
+queueLoadFactorChanged q =
+  mapSignalM (const $ queueLoadFactor q) (queueLoadFactorChanged_ q)
+  
+-- | Signal when the 'queueLoadFactor' property value has changed.
+queueLoadFactorChanged_ :: Queue si sm so a -> Signal ()
+queueLoadFactorChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (dequeueExtracted q)
+      
+-- | Return the rate of the input items that were enqueued: how many items
+-- per time.
+enqueueRate :: Queue si sm so a -> Event Double
+enqueueRate q =
+  Event $ \p ->
+  do x <- readIORef (enqueueCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the rate of the items that were stored: how many items
+-- per time.
+enqueueStoreRate :: Queue si sm so a -> Event Double
+enqueueStoreRate q =
+  Event $ \p ->
+  do x <- readIORef (enqueueStoreCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the rate of the requests for dequeueing the items: how many requests
+-- per time. It does not include the failed attempts to dequeue immediately
+-- without suspension.
+dequeueRate :: Queue si sm so a -> Event Double
+dequeueRate q =
+  Event $ \p ->
+  do x <- readIORef (dequeueCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the rate of the output items that were actually dequeued: how many items
+-- per time.
+dequeueExtractRate :: Queue si sm so a -> Event Double
+dequeueExtractRate q =
+  Event $ \p ->
+  do x <- readIORef (dequeueExtractCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the wait time from the time at which the item was stored in the queue to
+-- the time at which it was dequeued.
+--
+-- See also 'queueWaitTimeChanged' and 'queueWaitTimeChanged_'.
+queueWaitTime :: Queue si sm so a -> Event (SamplingStats Double)
+queueWaitTime q =
+  Event $ \p -> readIORef (queueWaitTimeRef q)
+      
+-- | Signal when the 'queueWaitTime' property value has changed.
+queueWaitTimeChanged :: Queue si sm so a -> Signal (SamplingStats Double)
+queueWaitTimeChanged q =
+  mapSignalM (const $ queueWaitTime q) (queueWaitTimeChanged_ q)
+  
+-- | Signal when the 'queueWaitTime' property value has changed.
+queueWaitTimeChanged_ :: Queue si sm so a -> Signal ()
+queueWaitTimeChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+      
+-- | Return the total wait time from the time at which the enqueueing operation
+-- was initiated to the time at which the item was dequeued.
+--
+-- In some sense, @queueTotalWaitTime == queueInputWaitTime + queueWaitTime@.
+--
+-- See also 'queueTotalWaitTimeChanged' and 'queueTotalWaitTimeChanged_'.
+queueTotalWaitTime :: Queue si sm so a -> Event (SamplingStats Double)
+queueTotalWaitTime q =
+  Event $ \p -> readIORef (queueTotalWaitTimeRef q)
+      
+-- | Signal when the 'queueTotalWaitTime' property value has changed.
+queueTotalWaitTimeChanged :: Queue si sm so a -> Signal (SamplingStats Double)
+queueTotalWaitTimeChanged q =
+  mapSignalM (const $ queueTotalWaitTime q) (queueTotalWaitTimeChanged_ q)
+  
+-- | Signal when the 'queueTotalWaitTime' property value has changed.
+queueTotalWaitTimeChanged_ :: Queue si sm so a -> Signal ()
+queueTotalWaitTimeChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+      
+-- | Return the enqueue wait time from the time at which the enqueueing operation
+-- was initiated to the time at which the item was stored in the queue.
+--
+-- See also 'enqueueWaitTimeChanged' and 'enqueueWaitTimeChanged_'.
+enqueueWaitTime :: Queue si sm so a -> Event (SamplingStats Double)
+enqueueWaitTime q =
+  Event $ \p -> readIORef (enqueueWaitTimeRef q)
+      
+-- | Signal when the 'enqueueWaitTime' property value has changed.
+enqueueWaitTimeChanged :: Queue si sm so a -> Signal (SamplingStats Double)
+enqueueWaitTimeChanged q =
+  mapSignalM (const $ enqueueWaitTime q) (enqueueWaitTimeChanged_ q)
+  
+-- | Signal when the 'enqueueWaitTime' property value has changed.
+enqueueWaitTimeChanged_ :: Queue si sm so a -> Signal ()
+enqueueWaitTimeChanged_ q =
+  mapSignal (const ()) (enqueueStored q)
+      
+-- | Return the dequeue wait time from the time at which the item was requested
+-- for dequeueing to the time at which it was actually dequeued.
+--
+-- See also 'dequeueWaitTimeChanged' and 'dequeueWaitTimeChanged_'.
+dequeueWaitTime :: Queue si sm so a -> Event (SamplingStats Double)
+dequeueWaitTime q =
+  Event $ \p -> readIORef (dequeueWaitTimeRef q)
+      
+-- | Signal when the 'dequeueWaitTime' property value has changed.
+dequeueWaitTimeChanged :: Queue si sm so a -> Signal (SamplingStats Double)
+dequeueWaitTimeChanged q =
+  mapSignalM (const $ dequeueWaitTime q) (dequeueWaitTimeChanged_ q)
+  
+-- | Signal when the 'dequeueWaitTime' property value has changed.
+dequeueWaitTimeChanged_ :: Queue si sm so a -> Signal ()
+dequeueWaitTimeChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return a long-term average queue rate calculated as
+-- the average queue size divided by the average wait time.
+--
+-- This value may be less than the actual arrival rate as the queue is
+-- finite and new arrivals may be locked while the queue remains full.
+--
+-- See also 'queueRateChanged' and 'queueRateChanged_'.
+queueRate :: Queue si sm so a -> Event Double
+queueRate q =
+  Event $ \p ->
+  do x <- readIORef (queueCountStatsRef q)
+     y <- readIORef (queueWaitTimeRef q)
+     return (timingStatsMean x / samplingStatsMean y) 
+      
+-- | Signal when the 'queueRate' property value has changed.
+queueRateChanged :: Queue si sm so a -> Signal Double
+queueRateChanged q =
+  mapSignalM (const $ queueRate q) (queueRateChanged_ q)
+      
+-- | Signal when the 'queueRate' property value has changed.
+queueRateChanged_ :: Queue si sm so a -> Signal ()
+queueRateChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Dequeue suspending the process if the queue is empty.
+dequeue :: (DequeueStrategy si,
+            DequeueStrategy sm,
+            EnqueueStrategy so)
+           => Queue si sm so a
+           -- ^ the queue
+           -> Process a
+           -- ^ the dequeued value
+dequeue q =
+  do t <- liftEvent $ dequeueRequest q
+     requestResource (dequeueRes q)
+     liftEvent $ dequeueExtract q t
+  
+-- | Dequeue with the output priority suspending the process if the queue is empty.
+dequeueWithOutputPriority :: (DequeueStrategy si,
+                              DequeueStrategy sm,
+                              PriorityQueueStrategy so po)
+                             => Queue si sm so a
+                             -- ^ the queue
+                             -> po
+                             -- ^ the priority for output
+                             -> Process a
+                             -- ^ the dequeued value
+dequeueWithOutputPriority q po =
+  do t <- liftEvent $ dequeueRequest q
+     requestResourceWithPriority (dequeueRes q) po
+     liftEvent $ dequeueExtract q t
+  
+-- | Try to dequeue immediately.
+tryDequeue :: (DequeueStrategy si,
+               DequeueStrategy sm)
+              => Queue si sm so a
+              -- ^ the queue
+              -> Event (Maybe a)
+              -- ^ the dequeued value of 'Nothing'
+tryDequeue q =
+  do x <- tryRequestResourceWithinEvent (dequeueRes q)
+     if x 
+       then do t <- dequeueRequest q
+               fmap Just $ dequeueExtract q t
+       else return Nothing
+
+-- | Enqueue the item suspending the process if the queue is full.  
+enqueue :: (EnqueueStrategy si,
+            EnqueueStrategy sm,
+            DequeueStrategy so)
+           => Queue si sm so a
+           -- ^ the queue
+           -> a
+           -- ^ the item to enqueue
+           -> Process ()
+enqueue q a =
+  do i <- liftEvent $ enqueueInitiate q a
+     requestResource (enqueueRes q)
+     liftEvent $ enqueueStore q i
+     
+-- | Enqueue with the input priority the item suspending the process if the queue is full.  
+enqueueWithInputPriority :: (PriorityQueueStrategy si pi,
+                             EnqueueStrategy sm,
+                             DequeueStrategy so)
+                            => Queue si sm so a
+                            -- ^ the queue
+                            -> pi
+                            -- ^ the priority for input
+                            -> a
+                            -- ^ the item to enqueue
+                            -> Process ()
+enqueueWithInputPriority q pi a =
+  do i <- liftEvent $ enqueueInitiate q a
+     requestResourceWithPriority (enqueueRes q) pi
+     liftEvent $ enqueueStore q i
+     
+-- | Enqueue with the storing priority the item suspending the process if the queue is full.  
+enqueueWithStoringPriority :: (EnqueueStrategy si,
+                               PriorityQueueStrategy sm pm,
+                               DequeueStrategy so)
+                              => Queue si sm so a
+                              -- ^ the queue
+                              -> pm
+                              -- ^ the priority for storing
+                              -> a
+                              -- ^ the item to enqueue
+                              -> Process ()
+enqueueWithStoringPriority q pm a =
+  do i <- liftEvent $ enqueueInitiate q a
+     requestResource (enqueueRes q)
+     liftEvent $ enqueueStoreWithPriority q pm i
+     
+-- | Enqueue with the input and storing priorities the item suspending the process if the queue is full.  
+enqueueWithInputStoringPriorities :: (PriorityQueueStrategy si pi,
+                                      PriorityQueueStrategy sm pm,
+                                      DequeueStrategy so)
+                                     => Queue si sm so a
+                                     -- ^ the queue
+                                     -> pi
+                                     -- ^ the priority for input
+                                     -> pm
+                                     -- ^ the priority for storing
+                                     -> a
+                                     -- ^ the item to enqueue
+                                     -> Process ()
+enqueueWithInputStoringPriorities q pi pm a =
+  do i <- liftEvent $ enqueueInitiate q a
+     requestResourceWithPriority (enqueueRes q) pi
+     liftEvent $ enqueueStoreWithPriority q pm i
+     
+-- | Try to enqueue the item. Return 'False' in the monad if the queue is full.
+tryEnqueue :: (EnqueueStrategy sm,
+               DequeueStrategy so)
+              => Queue si sm so a
+              -- ^ the queue
+              -> a
+              -- ^ the item which we try to enqueue
+              -> Event Bool
+tryEnqueue q a =
+  do x <- tryRequestResourceWithinEvent (enqueueRes q)
+     if x 
+       then do enqueueInitiate q a >>= enqueueStore q
+               return True
+       else return False
+
+-- | Try to enqueue with the storing priority the item. Return 'False' in
+-- the monad if the queue is full.
+tryEnqueueWithStoringPriority :: (PriorityQueueStrategy sm pm,
+                                  DequeueStrategy so)
+                                 => Queue si sm so a
+                                 -- ^ the queue
+                                 -> pm
+                                 -- ^ the priority for storing
+                                 -> a
+                                 -- ^ the item which we try to enqueue
+                                 -> Event Bool
+tryEnqueueWithStoringPriority q pm a =
+  do x <- tryRequestResourceWithinEvent (enqueueRes q)
+     if x 
+       then do enqueueInitiate q a >>= enqueueStoreWithPriority q pm
+               return True
+       else return False
+
+-- | Try to enqueue the item. If the queue is full then the item will be lost
+-- and 'False' will be returned.
+enqueueOrLost :: (EnqueueStrategy sm,
+                  DequeueStrategy so)
+                 => Queue si sm so a
+                 -- ^ the queue
+                 -> a
+                 -- ^ the item which we try to enqueue
+                 -> Event Bool
+enqueueOrLost q a =
+  do x <- tryRequestResourceWithinEvent (enqueueRes q)
+     if x
+       then do enqueueInitiate q a >>= enqueueStore q
+               return True
+       else do enqueueDeny q a
+               return False
+
+-- | Try to enqueue with the storing priority the item. If the queue is full
+-- then the item will be lost and 'False' will be returned.
+enqueueWithStoringPriorityOrLost :: (PriorityQueueStrategy sm pm,
+                                     DequeueStrategy so)
+                                    => Queue si sm so a
+                                    -- ^ the queue
+                                    -> pm
+                                    -- ^ the priority for storing
+                                    -> a
+                                    -- ^ the item which we try to enqueue
+                                    -> Event Bool
+enqueueWithStoringPriorityOrLost q pm a =
+  do x <- tryRequestResourceWithinEvent (enqueueRes q)
+     if x
+       then do enqueueInitiate q a >>= enqueueStoreWithPriority q pm
+               return True
+       else do enqueueDeny q a
+               return False
+
+-- | Try to enqueue the item. If the queue is full then the item will be lost.
+enqueueOrLost_ :: (EnqueueStrategy sm,
+                   DequeueStrategy so)
+                  => Queue si sm so a
+                  -- ^ the queue
+                  -> a
+                  -- ^ the item which we try to enqueue
+                  -> Event ()
+enqueueOrLost_ q a =
+  do x <- enqueueOrLost q a
+     return ()
+
+-- | Try to enqueue with the storing priority the item. If the queue is full
+-- then the item will be lost.
+enqueueWithStoringPriorityOrLost_ :: (PriorityQueueStrategy sm pm,
+                                      DequeueStrategy so)
+                                     => Queue si sm so a
+                                     -- ^ the queue
+                                     -> pm
+                                     -- ^ the priority for storing
+                                     -> a
+                                     -- ^ the item which we try to enqueue
+                                     -> Event ()
+enqueueWithStoringPriorityOrLost_ q pm a =
+  do x <- enqueueWithStoringPriorityOrLost q pm a
+     return ()
+
+-- | Return a signal that notifies when the enqueuing operation is initiated.
+enqueueInitiated :: Queue si sm so a -> Signal a
+enqueueInitiated q = publishSignal (enqueueInitiatedSource q)
+
+-- | Return a signal that notifies when the enqueuing operation is completed
+-- and the item is stored in the internal memory of the queue.
+enqueueStored :: Queue si sm so a -> Signal a
+enqueueStored q = publishSignal (enqueueStoredSource q)
+
+-- | Return a signal which notifies that the item was lost when 
+-- attempting to add it to the full queue with help of
+-- 'enqueueOrLost', 'enqueueOrLost_' or similar functions that imply
+-- that the element can be lost. All their names are ending with @OrLost@
+-- or @OrLost_@.
+--
+-- In other cases the enqueued items are not lost but the corresponded process
+-- can suspend until the internal queue storage is freed. Although there is one
+-- exception from this rule. If the process trying to enqueue a new element was
+-- suspended but then canceled through 'cancelProcess' from the outside then
+-- the item will not be added.
+enqueueLost :: Queue si sm so a -> Signal a
+enqueueLost q = publishSignal (enqueueLostSource q)
+
+-- | Return a signal that notifies when the dequeuing operation was requested.
+dequeueRequested :: Queue si sm so a -> Signal ()
+dequeueRequested q = publishSignal (dequeueRequestedSource q)
+
+-- | Return a signal that notifies when the item was extracted from the internal
+-- storage of the queue and prepared for immediate receiving by the dequeuing process.
+dequeueExtracted :: Queue si sm so a -> Signal a
+dequeueExtracted q = publishSignal (dequeueExtractedSource q)
+
+-- | Initiate the process of enqueuing the item.
+enqueueInitiate :: Queue si sm so a
+                   -- ^ the queue
+                   -> a
+                   -- ^ the item to be enqueued
+                   -> Event (QueueItem a)
+enqueueInitiate q a =
+  Event $ \p ->
+  do let t = pointTime p
+     modifyIORef' (enqueueCountRef q) (+ 1)
+     invokeEvent p $
+       triggerSignal (enqueueInitiatedSource q) a
+     return QueueItem { itemValue = a,
+                        itemInputTime = t,
+                        itemStoringTime = t  -- it will be updated soon
+                      }
+
+-- | Store the item.
+enqueueStore :: (EnqueueStrategy sm,
+                 DequeueStrategy so)
+                => Queue si sm so a
+                -- ^ the queue
+                -> QueueItem a
+                -- ^ the item to be stored
+                -> Event ()
+enqueueStore q i =
+  Event $ \p ->
+  do let i' = i { itemStoringTime = pointTime p }  -- now we have the actual time of storing
+     invokeEvent p $
+       strategyEnqueue (queueStore q) i'
+     c <- readIORef (queueCountRef q)
+     let c' = c + 1
+         t  = pointTime p 
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (enqueueStoreCountRef q) (+ 1)
+     invokeEvent p $
+       enqueueStat q i'
+     invokeEvent p $
+       releaseResourceWithinEvent (dequeueRes q)
+     invokeEvent p $
+       triggerSignal (enqueueStoredSource q) (itemValue i')
+
+-- | Store with the priority the item.
+enqueueStoreWithPriority :: (PriorityQueueStrategy sm pm,
+                             DequeueStrategy so)
+                            => Queue si sm so a
+                            -- ^ the queue
+                            -> pm
+                            -- ^ the priority for storing
+                            -> QueueItem a
+                            -- ^ the item to be enqueued
+                            -> Event ()
+enqueueStoreWithPriority q pm i =
+  Event $ \p ->
+  do let i' = i { itemStoringTime = pointTime p }  -- now we have the actual time of storing
+     invokeEvent p $
+       strategyEnqueueWithPriority (queueStore q) pm i'
+     c <- readIORef (queueCountRef q)
+     let c' = c + 1
+         t  = pointTime p
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (enqueueStoreCountRef q) (+ 1)
+     invokeEvent p $
+       enqueueStat q i'
+     invokeEvent p $
+       releaseResourceWithinEvent (dequeueRes q)
+     invokeEvent p $
+       triggerSignal (enqueueStoredSource q) (itemValue i')
+
+-- | Deny the enqueuing.
+enqueueDeny :: Queue si sm so a
+               -- ^ the queue
+               -> a
+               -- ^ the item to be denied
+               -> Event ()
+enqueueDeny q a =
+  Event $ \p ->
+  do modifyIORef' (enqueueLostCountRef q) $ (+) 1
+     invokeEvent p $
+       triggerSignal (enqueueLostSource q) a
+
+-- | Update the statistics for the input wait time of the enqueuing operation.
+enqueueStat :: Queue si sm so a
+               -- ^ the queue
+               -> QueueItem a
+               -- ^ the item and its input time
+               -> Event ()
+               -- ^ the action of updating the statistics
+enqueueStat q i =
+  Event $ \p ->
+  do let t0 = itemInputTime i
+         t1 = itemStoringTime i
+     modifyIORef' (enqueueWaitTimeRef q) $
+       addSamplingStats (t1 - t0)
+
+-- | Accept the dequeuing request and return the current simulation time.
+dequeueRequest :: Queue si sm so a
+                 -- ^ the queue
+                 -> Event Double
+                 -- ^ the current time
+dequeueRequest q =
+  Event $ \p ->
+  do modifyIORef' (dequeueCountRef q) (+ 1)
+     invokeEvent p $
+       triggerSignal (dequeueRequestedSource q) ()
+     return $ pointTime p 
+
+-- | Extract an item for the dequeuing request.  
+dequeueExtract :: (DequeueStrategy si,
+                   DequeueStrategy sm)
+                  => Queue si sm so a
+                  -- ^ the queue
+                  -> Double
+                  -- ^ the time of the dequeuing request
+                  -> Event a
+                  -- ^ the dequeued value
+dequeueExtract q t' =
+  Event $ \p ->
+  do i <- invokeEvent p $
+          strategyDequeue (queueStore q)
+     c <- readIORef (queueCountRef q)
+     let c' = c - 1
+         t  = pointTime p
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (dequeueExtractCountRef q) (+ 1)
+     invokeEvent p $
+       dequeueStat q t' i
+     invokeEvent p $
+       releaseResourceWithinEvent (enqueueRes q)
+     invokeEvent p $
+       triggerSignal (dequeueExtractedSource q) (itemValue i)
+     return $ itemValue i
+
+-- | Update the statistics for the output wait time of the dequeuing operation
+-- and the wait time of storing in the queue.
+dequeueStat :: Queue si sm so a
+               -- ^ the queue
+               -> Double
+               -- ^ the time of the dequeuing request
+               -> QueueItem a
+               -- ^ the item and its input time
+               -> Event ()
+               -- ^ the action of updating the statistics
+dequeueStat q t' i =
+  Event $ \p ->
+  do let t0 = itemInputTime i
+         t1 = itemStoringTime i
+         t  = pointTime p
+     modifyIORef' (dequeueWaitTimeRef q) $
+       addSamplingStats (t - t')
+     modifyIORef' (queueTotalWaitTimeRef q) $
+       addSamplingStats (t - t0)
+     modifyIORef' (queueWaitTimeRef q) $
+       addSamplingStats (t - t1)
+
+-- | Wait while the queue is full.
+waitWhileFullQueue :: Queue si sm so a -> Process ()
+waitWhileFullQueue q =
+  do x <- liftEvent (queueFull q)
+     when x $
+       do processAwait (dequeueExtracted q)
+          waitWhileFullQueue q
+
+-- | Signal whenever any property of the queue changes.
+--
+-- The property must have the corresponded signal. There are also characteristics
+-- similar to the properties but that have no signals. As a rule, such characteristics
+-- already depend on the simulation time and therefore they may change at any
+-- time point.
+queueChanged_ :: Queue si sm so a -> Signal ()
+queueChanged_ q =
+  mapSignal (const ()) (enqueueInitiated q) <>
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (enqueueLost q) <>
+  dequeueRequested q <>
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return the summary for the queue with desciption of its
+-- properties and activities using the specified indent.
+queueSummary :: (Show si, Show sm, Show so) => Queue si sm so a -> Int -> Event ShowS
+queueSummary q indent =
+  do let si = enqueueStrategy q
+         sm = enqueueStoringStrategy q
+         so = dequeueStrategy q
+     null <- queueNull q
+     full <- queueFull q
+     let maxCount = queueMaxCount q
+     count <- queueCount q
+     countStats <- queueCountStats q
+     enqueueCount <- enqueueCount q
+     enqueueLostCount <- enqueueLostCount q
+     enqueueStoreCount <- enqueueStoreCount q
+     dequeueCount <- dequeueCount q
+     dequeueExtractCount <- dequeueExtractCount q
+     loadFactor <- queueLoadFactor q
+     enqueueRate <- enqueueRate q
+     enqueueStoreRate <- enqueueStoreRate q
+     dequeueRate <- dequeueRate q
+     dequeueExtractRate <- dequeueExtractRate q
+     waitTime <- queueWaitTime q
+     totalWaitTime <- queueTotalWaitTime q
+     enqueueWaitTime <- enqueueWaitTime q
+     dequeueWaitTime <- dequeueWaitTime q
+     let tab = replicate indent ' '
+     return $
+       showString tab .
+       showString "the enqueueing (input) strategy = " .
+       shows si .
+       showString "\n" .
+       showString tab .
+       showString "the storing (memory) strategy = " .
+       shows sm .
+       showString "\n" .
+       showString tab .
+       showString "the dequeueing (output) strategy = " .
+       shows so .
+       showString "\n" .
+       showString tab .
+       showString "empty? = " .
+       shows null .
+       showString "\n" .
+       showString tab .
+       showString "full? = " .
+       shows full .
+       showString "\n" .
+       showString tab .
+       showString "max. capacity = " .
+       shows maxCount .
+       showString "\n" .
+       showString tab .
+       showString "size = " .
+       shows count .
+       showString "\n" .
+       showString tab .
+       showString "the size statistics = \n\n" .
+       timingStatsSummary countStats (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the enqueue count (number of the input items that were enqueued) = " .
+       shows enqueueCount .
+       showString "\n" .
+       showString tab .
+       showString "the enqueue lost count (number of the lost items) = " .
+       shows enqueueLostCount .
+       showString "\n" .
+       showString tab .
+       showString "the enqueue store count (number of the input items that were stored) = " .
+       shows enqueueStoreCount .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue count (number of requests for dequeueing an item) = " .
+       shows dequeueCount .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue extract count (number of the output items that were dequeued) = " .
+       shows dequeueExtractCount .
+       showString "\n" .
+       showString tab .
+       showString "the load factor (size / max. capacity) = " .
+       shows loadFactor .
+       showString "\n" .
+       showString tab .
+       showString "the enqueue rate (how many input items were enqueued per time) = " .
+       shows enqueueRate .
+       showString "\n" .
+       showString tab .
+       showString "the enqueue store rate (how many input items were stored per time) = " .
+       shows enqueueStoreRate .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue rate (how many requests for dequeueing per time) = " .
+       shows dequeueRate .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue extract rate (how many output items were dequeued per time) = " .
+       shows dequeueExtractRate .
+       showString "\n" .
+       showString tab .
+       showString "the wait time (when was stored -> when was dequeued) = \n\n" .
+       samplingStatsSummary waitTime (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the total wait time (when the enqueueing was initiated -> when was dequeued) = \n\n" .
+       samplingStatsSummary totalWaitTime (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the enqueue wait time (when the enqueueing was initiated -> when was stored) = \n\n" .
+       samplingStatsSummary enqueueWaitTime (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the dequeue wait time (when was requested for dequeueing -> when was dequeued) = \n\n" .
+       samplingStatsSummary dequeueWaitTime (2 + indent)
diff --git a/Simulation/Aivika/Queue/Infinite.hs b/Simulation/Aivika/Queue/Infinite.hs
--- a/Simulation/Aivika/Queue/Infinite.hs
+++ b/Simulation/Aivika/Queue/Infinite.hs
@@ -1,642 +1,636 @@
-
--- |
--- Module     : Simulation.Aivika.Queue.Infinite
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines an infinite queue that can use the specified strategies.
---
-module Simulation.Aivika.Queue.Infinite
-       (-- * Queue Types
-        FCFSQueue,
-        LCFSQueue,
-        SIROQueue,
-        PriorityQueue,
-        Queue,
-        -- * Creating Queue
-        newFCFSQueue,
-        newLCFSQueue,
-        newSIROQueue,
-        newPriorityQueue,
-        newQueue,
-        -- * Queue Properties and Activities
-        enqueueStoringStrategy,
-        dequeueStrategy,
-        queueNull,
-        queueCount,
-        queueCountStats,
-        enqueueStoreCount,
-        dequeueCount,
-        dequeueExtractCount,
-        enqueueStoreRate,
-        dequeueRate,
-        dequeueExtractRate,
-        queueWaitTime,
-        dequeueWaitTime,
-        queueRate,
-        -- * Dequeuing and Enqueuing
-        dequeue,
-        dequeueWithOutputPriority,
-        tryDequeue,
-        enqueue,
-        enqueueWithStoringPriority,
-        -- * Summary
-        queueSummary,
-        -- * Derived Signals for Properties
-        queueNullChanged,
-        queueNullChanged_,
-        queueCountChanged,
-        queueCountChanged_,
-        enqueueStoreCountChanged,
-        enqueueStoreCountChanged_,
-        dequeueCountChanged,
-        dequeueCountChanged_,
-        dequeueExtractCountChanged,
-        dequeueExtractCountChanged_,
-        queueWaitTimeChanged,
-        queueWaitTimeChanged_,
-        dequeueWaitTimeChanged,
-        dequeueWaitTimeChanged_,
-        queueRateChanged,
-        queueRateChanged_,
-        -- * Basic Signals
-        enqueueStored,
-        dequeueRequested,
-        dequeueExtracted,
-        -- * Overall Signal
-        queueChanged_) where
-
-import Data.IORef
-import Data.Monoid
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Process
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Resource
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Statistics
-
-import qualified Simulation.Aivika.DoubleLinkedList as DLL 
-import qualified Simulation.Aivika.Vector as V
-import qualified Simulation.Aivika.PriorityQueue as PQ
-
--- | A type synonym for the ordinary FIFO queue also known as the FCFS
--- (First Come - First Serviced) queue.
-type FCFSQueue a =
-  Queue FCFS DLL.DoubleLinkedList FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the ordinary LIFO queue also known as the LCFS
--- (Last Come - First Serviced) queue.
-type LCFSQueue a =
-  Queue LCFS DLL.DoubleLinkedList FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the SIRO (Serviced in Random Order) queue.
-type SIROQueue a =
-  Queue SIRO V.Vector FCFS DLL.DoubleLinkedList a
-
--- | A type synonym for the queue with static priorities applied when
--- storing the elements in the queue.
-type PriorityQueue a =
-  Queue StaticPriorities PQ.PriorityQueue FCFS DLL.DoubleLinkedList a
-
--- | Represents an infinite queue using the specified strategies for
--- internal storing (in memory), @sm@, and dequeueing (output), @so@, where @a@ denotes
--- the type of items stored in the queue. Types @qm@ and @qo@ are
--- determined automatically and you should not care about them - they
--- are dependent types.
-data Queue sm qm so qo a =
-  Queue { enqueueStoringStrategy :: sm,
-          -- ^ The strategy applied when storing (in memory) items in the queue.
-          dequeueStrategy :: so,
-          -- ^ The strategy applied to the dequeueing (output) processes.
-          queueStore :: qm (QueueItem a),
-          dequeueRes :: Resource so qo,
-          queueCountRef :: IORef Int,
-          queueCountStatsRef :: IORef (TimingStats Int),
-          enqueueStoreCountRef :: IORef Int,
-          dequeueCountRef :: IORef Int,
-          dequeueExtractCountRef :: IORef Int,
-          queueWaitTimeRef :: IORef (SamplingStats Double),
-          dequeueWaitTimeRef :: IORef (SamplingStats Double),
-          enqueueStoredSource :: SignalSource a,
-          dequeueRequestedSource :: SignalSource (),
-          dequeueExtractedSource :: SignalSource a }
-
--- | Stores the item and a time of its enqueuing. 
-data QueueItem a =
-  QueueItem { itemValue :: a,
-              -- ^ Return the item value.
-              itemStoringTime :: Double
-              -- ^ Return the time of storing in the queue.
-            }
-  
--- | Create a new infinite FCFS queue.  
-newFCFSQueue :: Event (FCFSQueue a)  
-newFCFSQueue = newQueue FCFS FCFS
-  
--- | Create a new infinite LCFS queue.  
-newLCFSQueue :: Event (LCFSQueue a)  
-newLCFSQueue = newQueue LCFS FCFS
-  
--- | Create a new infinite SIRO queue.  
-newSIROQueue :: Event (SIROQueue a)  
-newSIROQueue = newQueue SIRO FCFS
-  
--- | Create a new infinite priority queue.  
-newPriorityQueue :: Event (PriorityQueue a)  
-newPriorityQueue = newQueue StaticPriorities FCFS
-  
--- | Create a new infinite queue with the specified strategies.  
-newQueue :: (QueueStrategy sm qm,
-             QueueStrategy so qo) =>
-            sm
-            -- ^ the strategy applied when storing items in the queue
-            -> so
-            -- ^ the strategy applied to the dequeueing (output) processes when the queue is empty
-            -> Event (Queue sm qm so qo a)  
-newQueue sm so =
-  do t  <- liftDynamics time
-     i  <- liftIO $ newIORef 0
-     is <- liftIO $ newIORef $ returnTimingStats t 0
-     cm <- liftIO $ newIORef 0
-     cr <- liftIO $ newIORef 0
-     co <- liftIO $ newIORef 0
-     qm <- liftSimulation $ newStrategyQueue sm
-     ro <- liftSimulation $ newResourceWithMaxCount so 0 Nothing
-     w  <- liftIO $ newIORef mempty
-     wo <- liftIO $ newIORef mempty 
-     s3 <- liftSimulation newSignalSource
-     s4 <- liftSimulation newSignalSource
-     s5 <- liftSimulation newSignalSource
-     return Queue { enqueueStoringStrategy = sm,
-                    dequeueStrategy = so,
-                    queueStore = qm,
-                    dequeueRes = ro,
-                    queueCountRef = i,
-                    queueCountStatsRef = is,
-                    enqueueStoreCountRef = cm,
-                    dequeueCountRef = cr,
-                    dequeueExtractCountRef = co,
-                    queueWaitTimeRef = w,
-                    dequeueWaitTimeRef = wo,
-                    enqueueStoredSource = s3,
-                    dequeueRequestedSource = s4,
-                    dequeueExtractedSource = s5 }
-
--- | Test whether the queue is empty.
---
--- See also 'queueNullChanged' and 'queueNullChanged_'.
-queueNull :: Queue sm qm so qo a -> Event Bool
-queueNull q =
-  Event $ \p ->
-  do n <- readIORef (queueCountRef q)
-     return (n == 0)
-  
--- | Signal when the 'queueNull' property value has changed.
-queueNullChanged :: Queue sm qm so qo a -> Signal Bool
-queueNullChanged q =
-  mapSignalM (const $ queueNull q) (queueNullChanged_ q)
-  
--- | Signal when the 'queueNull' property value has changed.
-queueNullChanged_ :: Queue sm qm so qo a -> Signal ()
-queueNullChanged_ = queueCountChanged_
-
--- | Return the current queue size.
---
--- See also 'queueCountStats', 'queueCountChanged' and 'queueCountChanged_'.
-queueCount :: Queue sm qm so qo a -> Event Int
-queueCount q =
-  Event $ \p -> readIORef (queueCountRef q)
-
--- | Return the queue size statistics.
-queueCountStats :: Queue sm qm so qo a -> Event (TimingStats Int)
-queueCountStats q =
-  Event $ \p -> readIORef (queueCountStatsRef q)
-  
--- | Signal when the 'queueCount' property value has changed.
-queueCountChanged :: Queue sm qm so qo a -> Signal Int
-queueCountChanged q =
-  mapSignalM (const $ queueCount q) (queueCountChanged_ q)
-  
--- | Signal when the 'queueCount' property value has changed.
-queueCountChanged_ :: Queue sm qm so qo a -> Signal ()
-queueCountChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (dequeueExtracted q)
-      
--- | Return the total number of input items that were stored.
---
--- See also 'enqueueStoreCountChanged' and 'enqueueStoreCountChanged_'.
-enqueueStoreCount :: Queue sm qm so qo a -> Event Int
-enqueueStoreCount q =
-  Event $ \p -> readIORef (enqueueStoreCountRef q)
-  
--- | Signal when the 'enqueueStoreCount' property value has changed.
-enqueueStoreCountChanged :: Queue sm qm so qo a -> Signal Int
-enqueueStoreCountChanged q =
-  mapSignalM (const $ enqueueStoreCount q) (enqueueStoreCountChanged_ q)
-  
--- | Signal when the 'enqueueStoreCount' property value has changed.
-enqueueStoreCountChanged_ :: Queue sm qm so qo a -> Signal ()
-enqueueStoreCountChanged_ q =
-  mapSignal (const ()) (enqueueStored q)
-      
--- | Return the total number of requests for dequeueing the items,
--- not taking into account the failed attempts to dequeue immediately
--- without suspension.
---
--- See also 'dequeueCountChanged' and 'dequeueCountChanged_'.
-dequeueCount :: Queue sm qm so qo a -> Event Int
-dequeueCount q =
-  Event $ \p -> readIORef (dequeueCountRef q)
-      
--- | Signal when the 'dequeueCount' property value has changed.
-dequeueCountChanged :: Queue sm qm so qo a -> Signal Int
-dequeueCountChanged q =
-  mapSignalM (const $ dequeueCount q) (dequeueCountChanged_ q)
-  
--- | Signal when the 'dequeueCount' property value has changed.
-dequeueCountChanged_ :: Queue sm qm so qo a -> Signal ()
-dequeueCountChanged_ q =
-  mapSignal (const ()) (dequeueRequested q)
-      
--- | Return the total number of output items that were actually dequeued.
---
--- See also 'dequeueExtractCountChanged' and 'dequeueExtractCountChanged_'.
-dequeueExtractCount :: Queue sm qm so qo a -> Event Int
-dequeueExtractCount q =
-  Event $ \p -> readIORef (dequeueExtractCountRef q)
-      
--- | Signal when the 'dequeueExtractCount' property value has changed.
-dequeueExtractCountChanged :: Queue sm qm so qo a -> Signal Int
-dequeueExtractCountChanged q =
-  mapSignalM (const $ dequeueExtractCount q) (dequeueExtractCountChanged_ q)
-  
--- | Signal when the 'dequeueExtractCount' property value has changed.
-dequeueExtractCountChanged_ :: Queue sm qm so qo a -> Signal ()
-dequeueExtractCountChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return the rate of the items that were stored: how many items
--- per time.
-enqueueStoreRate :: Queue sm qm so qo a -> Event Double
-enqueueStoreRate q =
-  Event $ \p ->
-  do x <- readIORef (enqueueStoreCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the rate of the requests for dequeueing the items: how many requests
--- per time. It does not include the failed attempts to dequeue immediately
--- without suspension.
-dequeueRate :: Queue sm qm so qo a -> Event Double
-dequeueRate q =
-  Event $ \p ->
-  do x <- readIORef (dequeueCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the rate of the output items that were dequeued: how many items
--- per time.
-dequeueExtractRate :: Queue sm qm so qo a -> Event Double
-dequeueExtractRate q =
-  Event $ \p ->
-  do x <- readIORef (dequeueExtractCountRef q)
-     let t0 = spcStartTime $ pointSpecs p
-         t  = pointTime p
-     return (fromIntegral x / (t - t0))
-      
--- | Return the wait time from the time at which the item was stored in the queue to
--- the time at which it was dequeued.
---
--- See also 'queueWaitTimeChanged' and 'queueWaitTimeChanged_'.
-queueWaitTime :: Queue sm qm so qo a -> Event (SamplingStats Double)
-queueWaitTime q =
-  Event $ \p -> readIORef (queueWaitTimeRef q)
-      
--- | Signal when the 'queueWaitTime' property value has changed.
-queueWaitTimeChanged :: Queue sm qm so qo a -> Signal (SamplingStats Double)
-queueWaitTimeChanged q =
-  mapSignalM (const $ queueWaitTime q) (queueWaitTimeChanged_ q)
-  
--- | Signal when the 'queueWaitTime' property value has changed.
-queueWaitTimeChanged_ :: Queue sm qm so qo a -> Signal ()
-queueWaitTimeChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-      
--- | Return the dequeue wait time from the time at which the item was requested
--- for dequeueing to the time at which it was actually dequeued.
---
--- See also 'dequeueWaitTimeChanged' and 'dequeueWaitTimeChanged_'.
-dequeueWaitTime :: Queue sm qm so qo a -> Event (SamplingStats Double)
-dequeueWaitTime q =
-  Event $ \p -> readIORef (dequeueWaitTimeRef q)
-      
--- | Signal when the 'dequeueWaitTime' property value has changed.
-dequeueWaitTimeChanged :: Queue sm qm so qo a -> Signal (SamplingStats Double)
-dequeueWaitTimeChanged q =
-  mapSignalM (const $ dequeueWaitTime q) (dequeueWaitTimeChanged_ q)
-  
--- | Signal when the 'dequeueWaitTime' property value has changed.
-dequeueWaitTimeChanged_ :: Queue sm qm so qo a -> Signal ()
-dequeueWaitTimeChanged_ q =
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return a long-term average queue rate calculated as
--- the average queue size divided by the average wait time.
---
--- See also 'queueRateChanged' and 'queueRateChanged_'.
-queueRate :: Queue sm qm so qo a -> Event Double
-queueRate q =
-  Event $ \p ->
-  do x <- readIORef (queueCountStatsRef q)
-     y <- readIORef (queueWaitTimeRef q)
-     return (timingStatsMean x / samplingStatsMean y) 
-
--- | Signal when the 'queueRate' property value has changed.
-queueRateChanged :: Queue sm qm so qo a -> Signal Double
-queueRateChanged q =
-  mapSignalM (const $ queueRate q) (queueRateChanged_ q)
-
--- | Signal when the 'queueRate' property value has changed.
-queueRateChanged_ :: Queue sm qm so qo a -> Signal ()
-queueRateChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  mapSignal (const ()) (dequeueExtracted q)
-  
--- | Dequeue suspending the process if the queue is empty.
-dequeue :: (DequeueStrategy sm qm,
-            EnqueueStrategy so qo)
-           => Queue sm qm so qo a
-           -- ^ the queue
-           -> Process a
-           -- ^ the dequeued value
-dequeue q =
-  do t <- liftEvent $ dequeueRequest q
-     requestResource (dequeueRes q)
-     liftEvent $ dequeueExtract q t
-  
--- | Dequeue with the output priority suspending the process if the queue is empty.
-dequeueWithOutputPriority :: (DequeueStrategy sm qm,
-                              PriorityQueueStrategy so qo po)
-                             => Queue sm qm so qo a
-                             -- ^ the queue
-                             -> po
-                             -- ^ the priority for output
-                             -> Process a
-                             -- ^ the dequeued value
-dequeueWithOutputPriority q po =
-  do t <- liftEvent $ dequeueRequest q
-     requestResourceWithPriority (dequeueRes q) po
-     liftEvent $ dequeueExtract q t
-  
--- | Try to dequeue immediately.
-tryDequeue :: DequeueStrategy sm qm
-              => Queue sm qm so qo a
-              -- ^ the queue
-              -> Event (Maybe a)
-              -- ^ the dequeued value of 'Nothing'
-tryDequeue q =
-  do x <- tryRequestResourceWithinEvent (dequeueRes q)
-     if x 
-       then do t <- dequeueRequest q
-               fmap Just $ dequeueExtract q t
-       else return Nothing
-
--- | Enqueue the item.  
-enqueue :: (EnqueueStrategy sm qm,
-            DequeueStrategy so qo)
-           => Queue sm qm so qo a
-           -- ^ the queue
-           -> a
-           -- ^ the item to enqueue
-           -> Event ()
-enqueue = enqueueStore
-     
--- | Enqueue with the storing priority the item.  
-enqueueWithStoringPriority :: (PriorityQueueStrategy sm qm pm,
-                               DequeueStrategy so qo)
-                              => Queue sm qm so qo a
-                              -- ^ the queue
-                              -> pm
-                              -- ^ the priority for storing
-                              -> a
-                              -- ^ the item to enqueue
-                              -> Event ()
-enqueueWithStoringPriority = enqueueStoreWithPriority
-
--- | Return a signal that notifies when the enqueued item
--- is stored in the internal memory of the queue.
-enqueueStored :: Queue sm qm so qo a -> Signal a
-enqueueStored q = publishSignal (enqueueStoredSource q)
-
--- | Return a signal that notifies when the dequeuing operation was requested.
-dequeueRequested :: Queue sm qm so qo a -> Signal ()
-dequeueRequested q = publishSignal (dequeueRequestedSource q)
-
--- | Return a signal that notifies when the item was extracted from the internal
--- storage of the queue and prepared for immediate receiving by the dequeuing process.
-dequeueExtracted :: Queue sm qm so qo a -> Signal a
-dequeueExtracted q = publishSignal (dequeueExtractedSource q)
-
--- | Store the item.
-enqueueStore :: (EnqueueStrategy sm qm,
-                 DequeueStrategy so qo)
-                => Queue sm qm so qo a
-                -- ^ the queue
-                -> a
-                -- ^ the item to be stored
-                -> Event ()
-enqueueStore q a =
-  Event $ \p ->
-  do let i = QueueItem { itemValue = a,
-                         itemStoringTime = pointTime p }
-     invokeEvent p $
-       strategyEnqueue (enqueueStoringStrategy q) (queueStore q) i
-     c <- readIORef (queueCountRef q)
-     let c' = c + 1
-         t  = pointTime p
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (enqueueStoreCountRef q) (+ 1)
-     invokeEvent p $
-       releaseResourceWithinEvent (dequeueRes q)
-     invokeEvent p $
-       triggerSignal (enqueueStoredSource q) (itemValue i)
-
--- | Store with the priority the item.
-enqueueStoreWithPriority :: (PriorityQueueStrategy sm qm pm,
-                             DequeueStrategy so qo)
-                            => Queue sm qm so qo a
-                            -- ^ the queue
-                            -> pm
-                            -- ^ the priority for storing
-                            -> a
-                            -- ^ the item to be enqueued
-                            -> Event ()
-enqueueStoreWithPriority q pm a =
-  Event $ \p ->
-  do let i = QueueItem { itemValue = a,
-                         itemStoringTime = pointTime p }
-     invokeEvent p $
-       strategyEnqueueWithPriority (enqueueStoringStrategy q) (queueStore q) pm i
-     c <- readIORef (queueCountRef q)
-     let c' = c + 1
-         t  = pointTime p
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (enqueueStoreCountRef q) (+ 1)
-     invokeEvent p $
-       releaseResourceWithinEvent (dequeueRes q)
-     invokeEvent p $
-       triggerSignal (enqueueStoredSource q) (itemValue i)
-
--- | Accept the dequeuing request and return the current simulation time.
-dequeueRequest :: Queue sm qm so qo a
-                 -- ^ the queue
-                 -> Event Double
-                 -- ^ the current time
-dequeueRequest q =
-  Event $ \p ->
-  do modifyIORef' (dequeueCountRef q) (+ 1)
-     invokeEvent p $
-       triggerSignal (dequeueRequestedSource q) ()
-     return $ pointTime p 
-
--- | Extract an item for the dequeuing request.  
-dequeueExtract :: DequeueStrategy sm qm
-                  => Queue sm qm so qo a
-                  -- ^ the queue
-                  -> Double
-                  -- ^ the time of the dequeuing request
-                  -> Event a
-                  -- ^ the dequeued value
-dequeueExtract q t' =
-  Event $ \p ->
-  do i <- invokeEvent p $
-          strategyDequeue (enqueueStoringStrategy q) (queueStore q)
-     c <- readIORef (queueCountRef q)
-     let c' = c - 1
-         t  = pointTime p
-     c' `seq` writeIORef (queueCountRef q) c'
-     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
-     modifyIORef' (dequeueExtractCountRef q) (+ 1)
-     invokeEvent p $
-       dequeueStat q t' i
-     invokeEvent p $
-       triggerSignal (dequeueExtractedSource q) (itemValue i)
-     return $ itemValue i
-
--- | Update the statistics for the output wait time of the dequeuing operation
--- and the wait time of storing in the queue.
-dequeueStat :: Queue sm qm so qo a
-               -- ^ the queue
-               -> Double
-               -- ^ the time of the dequeuing request
-               -> QueueItem a
-               -- ^ the item and its input time
-               -> Event ()
-               -- ^ the action of updating the statistics
-dequeueStat q t' i =
-  Event $ \p ->
-  do let t1 = itemStoringTime i
-         t  = pointTime p
-     modifyIORef' (dequeueWaitTimeRef q) $
-       addSamplingStats (t - t')
-     modifyIORef' (queueWaitTimeRef q) $
-       addSamplingStats (t - t1)
-
--- | Signal whenever any property of the queue changes.
---
--- The property must have the corresponded signal. There are also characteristics
--- similar to the properties but that have no signals. As a rule, such characteristics
--- already depend on the simulation time and therefore they may change at any
--- time point.
-queueChanged_ :: Queue sm qm so qo a -> Signal ()
-queueChanged_ q =
-  mapSignal (const ()) (enqueueStored q) <>
-  dequeueRequested q <>
-  mapSignal (const ()) (dequeueExtracted q)
-
--- | Return the summary for the queue with desciption of its
--- properties and activities using the specified indent.
-queueSummary :: (Show sm, Show so) => Queue sm qm so qo a -> Int -> Event ShowS
-queueSummary q indent =
-  do let sm = enqueueStoringStrategy q
-         so = dequeueStrategy q
-     null <- queueNull q
-     count <- queueCount q
-     countStats <- queueCountStats q
-     enqueueStoreCount <- enqueueStoreCount q
-     dequeueCount <- dequeueCount q
-     dequeueExtractCount <- dequeueExtractCount q
-     enqueueStoreRate <- enqueueStoreRate q
-     dequeueRate <- dequeueRate q
-     dequeueExtractRate <- dequeueExtractRate q
-     waitTime <- queueWaitTime q
-     dequeueWaitTime <- dequeueWaitTime q
-     let tab = replicate indent ' '
-     return $
-       showString tab .
-       showString "the storing (memory) strategy = " .
-       shows sm .
-       showString "\n" .
-       showString tab .
-       showString "the dequeueing (output) strategy = " .
-       shows so .
-       showString "\n" .
-       showString tab .
-       showString "empty? = " .
-       shows null .
-       showString "\n" .
-       showString tab .
-       showString "the current size = " .
-       shows count .
-       showString "\n" .
-       showString tab .
-       showString "the size statistics = \n\n" .
-       timingStatsSummary countStats (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the enqueue store count (number of the input items that were stored) = " .
-       shows enqueueStoreCount .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue count (number of requests for dequeueing an item) = " .
-       shows dequeueCount .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue extract count (number of the output items that were dequeued) = " .
-       shows dequeueExtractCount .
-       showString "\n" .
-       showString tab .
-       showString "the enqueue store rate (how many input items were stored per time) = " .
-       shows enqueueStoreRate .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue rate (how many requests for dequeueing per time) = " .
-       shows dequeueRate .
-       showString "\n" .
-       showString tab .
-       showString "the dequeue extract rate (how many output items were dequeued per time) = " .
-       shows dequeueExtractRate .
-       showString "\n" .
-       showString tab .
-       showString "the wait time (when was stored -> when was dequeued) = \n\n" .
-       samplingStatsSummary waitTime (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "the dequeue wait time (when was requested for dequeueing -> when was dequeued) = \n\n" .
-       samplingStatsSummary dequeueWaitTime (2 + indent)
+
+-- |
+-- Module     : Simulation.Aivika.Queue.Infinite
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines an infinite queue that can use the specified strategies.
+--
+module Simulation.Aivika.Queue.Infinite
+       (-- * Queue Types
+        FCFSQueue,
+        LCFSQueue,
+        SIROQueue,
+        PriorityQueue,
+        Queue,
+        -- * Creating Queue
+        newFCFSQueue,
+        newLCFSQueue,
+        newSIROQueue,
+        newPriorityQueue,
+        newQueue,
+        -- * Queue Properties and Activities
+        enqueueStoringStrategy,
+        dequeueStrategy,
+        queueNull,
+        queueCount,
+        queueCountStats,
+        enqueueStoreCount,
+        dequeueCount,
+        dequeueExtractCount,
+        enqueueStoreRate,
+        dequeueRate,
+        dequeueExtractRate,
+        queueWaitTime,
+        dequeueWaitTime,
+        queueRate,
+        -- * Dequeuing and Enqueuing
+        dequeue,
+        dequeueWithOutputPriority,
+        tryDequeue,
+        enqueue,
+        enqueueWithStoringPriority,
+        -- * Summary
+        queueSummary,
+        -- * Derived Signals for Properties
+        queueNullChanged,
+        queueNullChanged_,
+        queueCountChanged,
+        queueCountChanged_,
+        enqueueStoreCountChanged,
+        enqueueStoreCountChanged_,
+        dequeueCountChanged,
+        dequeueCountChanged_,
+        dequeueExtractCountChanged,
+        dequeueExtractCountChanged_,
+        queueWaitTimeChanged,
+        queueWaitTimeChanged_,
+        dequeueWaitTimeChanged,
+        dequeueWaitTimeChanged_,
+        queueRateChanged,
+        queueRateChanged_,
+        -- * Basic Signals
+        enqueueStored,
+        dequeueRequested,
+        dequeueExtracted,
+        -- * Overall Signal
+        queueChanged_) where
+
+import Data.IORef
+import Data.Monoid
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Process
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Resource
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Statistics
+
+import qualified Simulation.Aivika.DoubleLinkedList as DLL 
+import qualified Simulation.Aivika.Vector as V
+import qualified Simulation.Aivika.PriorityQueue as PQ
+
+-- | A type synonym for the ordinary FIFO queue also known as the FCFS
+-- (First Come - First Serviced) queue.
+type FCFSQueue a = Queue FCFS FCFS a
+
+-- | A type synonym for the ordinary LIFO queue also known as the LCFS
+-- (Last Come - First Serviced) queue.
+type LCFSQueue a = Queue LCFS FCFS a
+
+-- | A type synonym for the SIRO (Serviced in Random Order) queue.
+type SIROQueue a = Queue SIRO FCFS a
+
+-- | A type synonym for the queue with static priorities applied when
+-- storing the elements in the queue.
+type PriorityQueue a = Queue StaticPriorities FCFS a
+
+-- | Represents an infinite queue using the specified strategies for
+-- internal storing (in memory), @sm@, and dequeueing (output), @so@, where @a@ denotes
+-- the type of items stored in the queue.
+data Queue sm so a =
+  Queue { enqueueStoringStrategy :: sm,
+          -- ^ The strategy applied when storing (in memory) items in the queue.
+          dequeueStrategy :: so,
+          -- ^ The strategy applied to the dequeueing (output) processes.
+          queueStore :: StrategyQueue sm (QueueItem a),
+          dequeueRes :: Resource so,
+          queueCountRef :: IORef Int,
+          queueCountStatsRef :: IORef (TimingStats Int),
+          enqueueStoreCountRef :: IORef Int,
+          dequeueCountRef :: IORef Int,
+          dequeueExtractCountRef :: IORef Int,
+          queueWaitTimeRef :: IORef (SamplingStats Double),
+          dequeueWaitTimeRef :: IORef (SamplingStats Double),
+          enqueueStoredSource :: SignalSource a,
+          dequeueRequestedSource :: SignalSource (),
+          dequeueExtractedSource :: SignalSource a }
+
+-- | Stores the item and a time of its enqueuing. 
+data QueueItem a =
+  QueueItem { itemValue :: a,
+              -- ^ Return the item value.
+              itemStoringTime :: Double
+              -- ^ Return the time of storing in the queue.
+            }
+  
+-- | Create a new infinite FCFS queue.  
+newFCFSQueue :: Event (FCFSQueue a)  
+newFCFSQueue = newQueue FCFS FCFS
+  
+-- | Create a new infinite LCFS queue.  
+newLCFSQueue :: Event (LCFSQueue a)  
+newLCFSQueue = newQueue LCFS FCFS
+  
+-- | Create a new infinite SIRO queue.  
+newSIROQueue :: Event (SIROQueue a)  
+newSIROQueue = newQueue SIRO FCFS
+  
+-- | Create a new infinite priority queue.  
+newPriorityQueue :: Event (PriorityQueue a)  
+newPriorityQueue = newQueue StaticPriorities FCFS
+  
+-- | Create a new infinite queue with the specified strategies.  
+newQueue :: (QueueStrategy sm,
+             QueueStrategy so) =>
+            sm
+            -- ^ the strategy applied when storing items in the queue
+            -> so
+            -- ^ the strategy applied to the dequeueing (output) processes when the queue is empty
+            -> Event (Queue sm so a)  
+newQueue sm so =
+  do t  <- liftDynamics time
+     i  <- liftIO $ newIORef 0
+     is <- liftIO $ newIORef $ returnTimingStats t 0
+     cm <- liftIO $ newIORef 0
+     cr <- liftIO $ newIORef 0
+     co <- liftIO $ newIORef 0
+     qm <- liftSimulation $ newStrategyQueue sm
+     ro <- liftSimulation $ newResourceWithMaxCount so 0 Nothing
+     w  <- liftIO $ newIORef mempty
+     wo <- liftIO $ newIORef mempty 
+     s3 <- liftSimulation newSignalSource
+     s4 <- liftSimulation newSignalSource
+     s5 <- liftSimulation newSignalSource
+     return Queue { enqueueStoringStrategy = sm,
+                    dequeueStrategy = so,
+                    queueStore = qm,
+                    dequeueRes = ro,
+                    queueCountRef = i,
+                    queueCountStatsRef = is,
+                    enqueueStoreCountRef = cm,
+                    dequeueCountRef = cr,
+                    dequeueExtractCountRef = co,
+                    queueWaitTimeRef = w,
+                    dequeueWaitTimeRef = wo,
+                    enqueueStoredSource = s3,
+                    dequeueRequestedSource = s4,
+                    dequeueExtractedSource = s5 }
+
+-- | Test whether the queue is empty.
+--
+-- See also 'queueNullChanged' and 'queueNullChanged_'.
+queueNull :: Queue sm so a -> Event Bool
+queueNull q =
+  Event $ \p ->
+  do n <- readIORef (queueCountRef q)
+     return (n == 0)
+  
+-- | Signal when the 'queueNull' property value has changed.
+queueNullChanged :: Queue sm so a -> Signal Bool
+queueNullChanged q =
+  mapSignalM (const $ queueNull q) (queueNullChanged_ q)
+  
+-- | Signal when the 'queueNull' property value has changed.
+queueNullChanged_ :: Queue sm so a -> Signal ()
+queueNullChanged_ = queueCountChanged_
+
+-- | Return the current queue size.
+--
+-- See also 'queueCountStats', 'queueCountChanged' and 'queueCountChanged_'.
+queueCount :: Queue sm so a -> Event Int
+queueCount q =
+  Event $ \p -> readIORef (queueCountRef q)
+
+-- | Return the queue size statistics.
+queueCountStats :: Queue sm so a -> Event (TimingStats Int)
+queueCountStats q =
+  Event $ \p -> readIORef (queueCountStatsRef q)
+  
+-- | Signal when the 'queueCount' property value has changed.
+queueCountChanged :: Queue sm so a -> Signal Int
+queueCountChanged q =
+  mapSignalM (const $ queueCount q) (queueCountChanged_ q)
+  
+-- | Signal when the 'queueCount' property value has changed.
+queueCountChanged_ :: Queue sm so a -> Signal ()
+queueCountChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (dequeueExtracted q)
+      
+-- | Return the total number of input items that were stored.
+--
+-- See also 'enqueueStoreCountChanged' and 'enqueueStoreCountChanged_'.
+enqueueStoreCount :: Queue sm so a -> Event Int
+enqueueStoreCount q =
+  Event $ \p -> readIORef (enqueueStoreCountRef q)
+  
+-- | Signal when the 'enqueueStoreCount' property value has changed.
+enqueueStoreCountChanged :: Queue sm so a -> Signal Int
+enqueueStoreCountChanged q =
+  mapSignalM (const $ enqueueStoreCount q) (enqueueStoreCountChanged_ q)
+  
+-- | Signal when the 'enqueueStoreCount' property value has changed.
+enqueueStoreCountChanged_ :: Queue sm so a -> Signal ()
+enqueueStoreCountChanged_ q =
+  mapSignal (const ()) (enqueueStored q)
+      
+-- | Return the total number of requests for dequeueing the items,
+-- not taking into account the failed attempts to dequeue immediately
+-- without suspension.
+--
+-- See also 'dequeueCountChanged' and 'dequeueCountChanged_'.
+dequeueCount :: Queue sm so a -> Event Int
+dequeueCount q =
+  Event $ \p -> readIORef (dequeueCountRef q)
+      
+-- | Signal when the 'dequeueCount' property value has changed.
+dequeueCountChanged :: Queue sm so a -> Signal Int
+dequeueCountChanged q =
+  mapSignalM (const $ dequeueCount q) (dequeueCountChanged_ q)
+  
+-- | Signal when the 'dequeueCount' property value has changed.
+dequeueCountChanged_ :: Queue sm so a -> Signal ()
+dequeueCountChanged_ q =
+  mapSignal (const ()) (dequeueRequested q)
+      
+-- | Return the total number of output items that were actually dequeued.
+--
+-- See also 'dequeueExtractCountChanged' and 'dequeueExtractCountChanged_'.
+dequeueExtractCount :: Queue sm so a -> Event Int
+dequeueExtractCount q =
+  Event $ \p -> readIORef (dequeueExtractCountRef q)
+      
+-- | Signal when the 'dequeueExtractCount' property value has changed.
+dequeueExtractCountChanged :: Queue sm so a -> Signal Int
+dequeueExtractCountChanged q =
+  mapSignalM (const $ dequeueExtractCount q) (dequeueExtractCountChanged_ q)
+  
+-- | Signal when the 'dequeueExtractCount' property value has changed.
+dequeueExtractCountChanged_ :: Queue sm so a -> Signal ()
+dequeueExtractCountChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return the rate of the items that were stored: how many items
+-- per time.
+enqueueStoreRate :: Queue sm so a -> Event Double
+enqueueStoreRate q =
+  Event $ \p ->
+  do x <- readIORef (enqueueStoreCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the rate of the requests for dequeueing the items: how many requests
+-- per time. It does not include the failed attempts to dequeue immediately
+-- without suspension.
+dequeueRate :: Queue sm so a -> Event Double
+dequeueRate q =
+  Event $ \p ->
+  do x <- readIORef (dequeueCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the rate of the output items that were dequeued: how many items
+-- per time.
+dequeueExtractRate :: Queue sm so a -> Event Double
+dequeueExtractRate q =
+  Event $ \p ->
+  do x <- readIORef (dequeueExtractCountRef q)
+     let t0 = spcStartTime $ pointSpecs p
+         t  = pointTime p
+     return (fromIntegral x / (t - t0))
+      
+-- | Return the wait time from the time at which the item was stored in the queue to
+-- the time at which it was dequeued.
+--
+-- See also 'queueWaitTimeChanged' and 'queueWaitTimeChanged_'.
+queueWaitTime :: Queue sm so a -> Event (SamplingStats Double)
+queueWaitTime q =
+  Event $ \p -> readIORef (queueWaitTimeRef q)
+      
+-- | Signal when the 'queueWaitTime' property value has changed.
+queueWaitTimeChanged :: Queue sm so a -> Signal (SamplingStats Double)
+queueWaitTimeChanged q =
+  mapSignalM (const $ queueWaitTime q) (queueWaitTimeChanged_ q)
+  
+-- | Signal when the 'queueWaitTime' property value has changed.
+queueWaitTimeChanged_ :: Queue sm so a -> Signal ()
+queueWaitTimeChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+      
+-- | Return the dequeue wait time from the time at which the item was requested
+-- for dequeueing to the time at which it was actually dequeued.
+--
+-- See also 'dequeueWaitTimeChanged' and 'dequeueWaitTimeChanged_'.
+dequeueWaitTime :: Queue sm so a -> Event (SamplingStats Double)
+dequeueWaitTime q =
+  Event $ \p -> readIORef (dequeueWaitTimeRef q)
+      
+-- | Signal when the 'dequeueWaitTime' property value has changed.
+dequeueWaitTimeChanged :: Queue sm so a -> Signal (SamplingStats Double)
+dequeueWaitTimeChanged q =
+  mapSignalM (const $ dequeueWaitTime q) (dequeueWaitTimeChanged_ q)
+  
+-- | Signal when the 'dequeueWaitTime' property value has changed.
+dequeueWaitTimeChanged_ :: Queue sm so a -> Signal ()
+dequeueWaitTimeChanged_ q =
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return a long-term average queue rate calculated as
+-- the average queue size divided by the average wait time.
+--
+-- See also 'queueRateChanged' and 'queueRateChanged_'.
+queueRate :: Queue sm so a -> Event Double
+queueRate q =
+  Event $ \p ->
+  do x <- readIORef (queueCountStatsRef q)
+     y <- readIORef (queueWaitTimeRef q)
+     return (timingStatsMean x / samplingStatsMean y) 
+
+-- | Signal when the 'queueRate' property value has changed.
+queueRateChanged :: Queue sm so a -> Signal Double
+queueRateChanged q =
+  mapSignalM (const $ queueRate q) (queueRateChanged_ q)
+
+-- | Signal when the 'queueRate' property value has changed.
+queueRateChanged_ :: Queue sm so a -> Signal ()
+queueRateChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  mapSignal (const ()) (dequeueExtracted q)
+  
+-- | Dequeue suspending the process if the queue is empty.
+dequeue :: (DequeueStrategy sm,
+            EnqueueStrategy so)
+           => Queue sm so a
+           -- ^ the queue
+           -> Process a
+           -- ^ the dequeued value
+dequeue q =
+  do t <- liftEvent $ dequeueRequest q
+     requestResource (dequeueRes q)
+     liftEvent $ dequeueExtract q t
+  
+-- | Dequeue with the output priority suspending the process if the queue is empty.
+dequeueWithOutputPriority :: (DequeueStrategy sm,
+                              PriorityQueueStrategy so po)
+                             => Queue sm so a
+                             -- ^ the queue
+                             -> po
+                             -- ^ the priority for output
+                             -> Process a
+                             -- ^ the dequeued value
+dequeueWithOutputPriority q po =
+  do t <- liftEvent $ dequeueRequest q
+     requestResourceWithPriority (dequeueRes q) po
+     liftEvent $ dequeueExtract q t
+  
+-- | Try to dequeue immediately.
+tryDequeue :: DequeueStrategy sm
+              => Queue sm so a
+              -- ^ the queue
+              -> Event (Maybe a)
+              -- ^ the dequeued value of 'Nothing'
+tryDequeue q =
+  do x <- tryRequestResourceWithinEvent (dequeueRes q)
+     if x 
+       then do t <- dequeueRequest q
+               fmap Just $ dequeueExtract q t
+       else return Nothing
+
+-- | Enqueue the item.  
+enqueue :: (EnqueueStrategy sm,
+            DequeueStrategy so)
+           => Queue sm so a
+           -- ^ the queue
+           -> a
+           -- ^ the item to enqueue
+           -> Event ()
+enqueue = enqueueStore
+     
+-- | Enqueue with the storing priority the item.  
+enqueueWithStoringPriority :: (PriorityQueueStrategy sm pm,
+                               DequeueStrategy so)
+                              => Queue sm so a
+                              -- ^ the queue
+                              -> pm
+                              -- ^ the priority for storing
+                              -> a
+                              -- ^ the item to enqueue
+                              -> Event ()
+enqueueWithStoringPriority = enqueueStoreWithPriority
+
+-- | Return a signal that notifies when the enqueued item
+-- is stored in the internal memory of the queue.
+enqueueStored :: Queue sm so a -> Signal a
+enqueueStored q = publishSignal (enqueueStoredSource q)
+
+-- | Return a signal that notifies when the dequeuing operation was requested.
+dequeueRequested :: Queue sm so a -> Signal ()
+dequeueRequested q = publishSignal (dequeueRequestedSource q)
+
+-- | Return a signal that notifies when the item was extracted from the internal
+-- storage of the queue and prepared for immediate receiving by the dequeuing process.
+dequeueExtracted :: Queue sm so a -> Signal a
+dequeueExtracted q = publishSignal (dequeueExtractedSource q)
+
+-- | Store the item.
+enqueueStore :: (EnqueueStrategy sm,
+                 DequeueStrategy so)
+                => Queue sm so a
+                -- ^ the queue
+                -> a
+                -- ^ the item to be stored
+                -> Event ()
+enqueueStore q a =
+  Event $ \p ->
+  do let i = QueueItem { itemValue = a,
+                         itemStoringTime = pointTime p }
+     invokeEvent p $
+       strategyEnqueue (queueStore q) i
+     c <- readIORef (queueCountRef q)
+     let c' = c + 1
+         t  = pointTime p
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (enqueueStoreCountRef q) (+ 1)
+     invokeEvent p $
+       releaseResourceWithinEvent (dequeueRes q)
+     invokeEvent p $
+       triggerSignal (enqueueStoredSource q) (itemValue i)
+
+-- | Store with the priority the item.
+enqueueStoreWithPriority :: (PriorityQueueStrategy sm pm,
+                             DequeueStrategy so)
+                            => Queue sm so a
+                            -- ^ the queue
+                            -> pm
+                            -- ^ the priority for storing
+                            -> a
+                            -- ^ the item to be enqueued
+                            -> Event ()
+enqueueStoreWithPriority q pm a =
+  Event $ \p ->
+  do let i = QueueItem { itemValue = a,
+                         itemStoringTime = pointTime p }
+     invokeEvent p $
+       strategyEnqueueWithPriority (queueStore q) pm i
+     c <- readIORef (queueCountRef q)
+     let c' = c + 1
+         t  = pointTime p
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (enqueueStoreCountRef q) (+ 1)
+     invokeEvent p $
+       releaseResourceWithinEvent (dequeueRes q)
+     invokeEvent p $
+       triggerSignal (enqueueStoredSource q) (itemValue i)
+
+-- | Accept the dequeuing request and return the current simulation time.
+dequeueRequest :: Queue sm so a
+                 -- ^ the queue
+                 -> Event Double
+                 -- ^ the current time
+dequeueRequest q =
+  Event $ \p ->
+  do modifyIORef' (dequeueCountRef q) (+ 1)
+     invokeEvent p $
+       triggerSignal (dequeueRequestedSource q) ()
+     return $ pointTime p 
+
+-- | Extract an item for the dequeuing request.  
+dequeueExtract :: DequeueStrategy sm
+                  => Queue sm so a
+                  -- ^ the queue
+                  -> Double
+                  -- ^ the time of the dequeuing request
+                  -> Event a
+                  -- ^ the dequeued value
+dequeueExtract q t' =
+  Event $ \p ->
+  do i <- invokeEvent p $
+          strategyDequeue (queueStore q)
+     c <- readIORef (queueCountRef q)
+     let c' = c - 1
+         t  = pointTime p
+     c' `seq` writeIORef (queueCountRef q) c'
+     modifyIORef' (queueCountStatsRef q) (addTimingStats t c')
+     modifyIORef' (dequeueExtractCountRef q) (+ 1)
+     invokeEvent p $
+       dequeueStat q t' i
+     invokeEvent p $
+       triggerSignal (dequeueExtractedSource q) (itemValue i)
+     return $ itemValue i
+
+-- | Update the statistics for the output wait time of the dequeuing operation
+-- and the wait time of storing in the queue.
+dequeueStat :: Queue sm so a
+               -- ^ the queue
+               -> Double
+               -- ^ the time of the dequeuing request
+               -> QueueItem a
+               -- ^ the item and its input time
+               -> Event ()
+               -- ^ the action of updating the statistics
+dequeueStat q t' i =
+  Event $ \p ->
+  do let t1 = itemStoringTime i
+         t  = pointTime p
+     modifyIORef' (dequeueWaitTimeRef q) $
+       addSamplingStats (t - t')
+     modifyIORef' (queueWaitTimeRef q) $
+       addSamplingStats (t - t1)
+
+-- | Signal whenever any property of the queue changes.
+--
+-- The property must have the corresponded signal. There are also characteristics
+-- similar to the properties but that have no signals. As a rule, such characteristics
+-- already depend on the simulation time and therefore they may change at any
+-- time point.
+queueChanged_ :: Queue sm so a -> Signal ()
+queueChanged_ q =
+  mapSignal (const ()) (enqueueStored q) <>
+  dequeueRequested q <>
+  mapSignal (const ()) (dequeueExtracted q)
+
+-- | Return the summary for the queue with desciption of its
+-- properties and activities using the specified indent.
+queueSummary :: (Show sm, Show so) => Queue sm so a -> Int -> Event ShowS
+queueSummary q indent =
+  do let sm = enqueueStoringStrategy q
+         so = dequeueStrategy q
+     null <- queueNull q
+     count <- queueCount q
+     countStats <- queueCountStats q
+     enqueueStoreCount <- enqueueStoreCount q
+     dequeueCount <- dequeueCount q
+     dequeueExtractCount <- dequeueExtractCount q
+     enqueueStoreRate <- enqueueStoreRate q
+     dequeueRate <- dequeueRate q
+     dequeueExtractRate <- dequeueExtractRate q
+     waitTime <- queueWaitTime q
+     dequeueWaitTime <- dequeueWaitTime q
+     let tab = replicate indent ' '
+     return $
+       showString tab .
+       showString "the storing (memory) strategy = " .
+       shows sm .
+       showString "\n" .
+       showString tab .
+       showString "the dequeueing (output) strategy = " .
+       shows so .
+       showString "\n" .
+       showString tab .
+       showString "empty? = " .
+       shows null .
+       showString "\n" .
+       showString tab .
+       showString "the current size = " .
+       shows count .
+       showString "\n" .
+       showString tab .
+       showString "the size statistics = \n\n" .
+       timingStatsSummary countStats (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the enqueue store count (number of the input items that were stored) = " .
+       shows enqueueStoreCount .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue count (number of requests for dequeueing an item) = " .
+       shows dequeueCount .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue extract count (number of the output items that were dequeued) = " .
+       shows dequeueExtractCount .
+       showString "\n" .
+       showString tab .
+       showString "the enqueue store rate (how many input items were stored per time) = " .
+       shows enqueueStoreRate .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue rate (how many requests for dequeueing per time) = " .
+       shows dequeueRate .
+       showString "\n" .
+       showString tab .
+       showString "the dequeue extract rate (how many output items were dequeued per time) = " .
+       shows dequeueExtractRate .
+       showString "\n" .
+       showString tab .
+       showString "the wait time (when was stored -> when was dequeued) = \n\n" .
+       samplingStatsSummary waitTime (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "the dequeue wait time (when was requested for dequeueing -> when was dequeued) = \n\n" .
+       samplingStatsSummary dequeueWaitTime (2 + indent)
diff --git a/Simulation/Aivika/QueueStrategy.hs b/Simulation/Aivika/QueueStrategy.hs
--- a/Simulation/Aivika/QueueStrategy.hs
+++ b/Simulation/Aivika/QueueStrategy.hs
@@ -1,178 +1,187 @@
-
-{-# LANGUAGE MultiParamTypeClasses, FunctionalDependencies #-}
-
--- |
--- Module     : Simulation.Aivika.QueueStrategy
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines the queue strategies.
---
-module Simulation.Aivika.QueueStrategy
-       (-- * Strategy Classes
-        QueueStrategy(..),
-        DequeueStrategy(..),
-        EnqueueStrategy(..),
-        PriorityQueueStrategy(..),
-        -- * Strategy Instances
-        FCFS(..),
-        LCFS(..),
-        SIRO(..),
-        StaticPriorities(..)) where
-
-import System.Random
-import Control.Monad.Trans
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Event
-import Simulation.Aivika.DoubleLinkedList
-import qualified Simulation.Aivika.PriorityQueue as PQ
-import qualified Simulation.Aivika.Vector as V
-
--- | Defines the basic queue strategy.
-class QueueStrategy s q | s -> q where
-
-  -- | Create a new queue by the specified strategy.
-  newStrategyQueue :: s
-                      -- ^ the strategy
-                      -> Simulation (q i)
-                      -- ^ a new queue
-
-  -- | Test whether the queue is empty.
-  strategyQueueNull :: s
-                       -- ^ the strategy
-                       -> q i
-                       -- ^ the queue
-                       -> Event Bool
-                       -- ^ the result of the test
-
--- | Defines a strategy with support of the dequeuing operation.
-class QueueStrategy s q => DequeueStrategy s q | s -> q where
-
-  -- | Dequeue the front element and return it.
-  strategyDequeue :: s
-                     -- ^ the strategy
-                     -> q i
-                     -- ^ the queue
-                     -> Event i
-                     -- ^ the dequeued element
-
--- | It defines a strategy when we can enqueue a single element.
-class DequeueStrategy s q => EnqueueStrategy s q | s -> q where
-
-  -- | Enqueue an element.
-  strategyEnqueue :: s
-                     -- ^ the strategy
-                     -> q i
-                     -- ^ the queue
-                     -> i
-                     -- ^ the element to be enqueued
-                     -> Event ()
-                     -- ^ the action of enqueuing
-
--- | It defines a strategy when we can enqueue an element with the specified priority.
-class DequeueStrategy s q => PriorityQueueStrategy s q p | s -> q, s -> p where
-
-  -- | Enqueue an element with the specified priority.
-  strategyEnqueueWithPriority :: s
-                                 -- ^ the strategy
-                                 -> q i
-                                 -- ^ the queue
-                                 -> p
-                                 -- ^ the priority
-                                 -> i
-                                 -- ^ the element to be enqueued
-                                 -> Event ()
-                                 -- ^ the action of enqueuing
-
--- | Strategy: First Come - First Served (FCFS).
-data FCFS = FCFS deriving (Eq, Ord, Show)
-
--- | Strategy: Last Come - First Served (LCFS)
-data LCFS = LCFS deriving (Eq, Ord, Show)
-
--- | Strategy: Service in Random Order (SIRO).
-data SIRO = SIRO deriving (Eq, Ord, Show)
-
--- | Strategy: Static Priorities. It uses the priority queue.
-data StaticPriorities = StaticPriorities deriving (Eq, Ord, Show)
-
-instance QueueStrategy FCFS DoubleLinkedList where
-
-  newStrategyQueue s = liftIO newList
-
-  strategyQueueNull s q = liftIO $ listNull q
-
-instance DequeueStrategy FCFS DoubleLinkedList where
-
-  strategyDequeue s q =
-    liftIO $
-    do i <- listFirst q
-       listRemoveFirst q
-       return i
-
-instance EnqueueStrategy FCFS DoubleLinkedList where
-
-  strategyEnqueue s q i = liftIO $ listAddLast q i
-
-instance QueueStrategy LCFS DoubleLinkedList where
-
-  newStrategyQueue s = liftIO newList
-       
-  strategyQueueNull s q = liftIO $ listNull q
-
-instance DequeueStrategy LCFS DoubleLinkedList where
-
-  strategyDequeue s q =
-    liftIO $
-    do i <- listFirst q
-       listRemoveFirst q
-       return i
-
-instance EnqueueStrategy LCFS DoubleLinkedList where
-
-  strategyEnqueue s q i = liftIO $ listInsertFirst q i
-
-instance QueueStrategy StaticPriorities PQ.PriorityQueue where
-
-  newStrategyQueue s = liftIO PQ.newQueue
-
-  strategyQueueNull s q = liftIO $ PQ.queueNull q
-
-instance DequeueStrategy StaticPriorities PQ.PriorityQueue where
-
-  strategyDequeue s q =
-    liftIO $
-    do (_, i) <- PQ.queueFront q
-       PQ.dequeue q
-       return i
-
-instance PriorityQueueStrategy StaticPriorities PQ.PriorityQueue Double where
-
-  strategyEnqueueWithPriority s q p i = liftIO $ PQ.enqueue q p i
-
-instance QueueStrategy SIRO V.Vector where
-
-  newStrategyQueue s = liftIO V.newVector
-
-  strategyQueueNull s q =
-    liftIO $
-    do n <- V.vectorCount q
-       return (n == 0)
-
-instance DequeueStrategy SIRO V.Vector where
-
-  strategyDequeue s q =
-    liftIO $
-    do n <- V.vectorCount q
-       i <- getStdRandom (randomR (0, n - 1))
-       x <- V.readVector q i
-       V.vectorDeleteAt q i
-       return x
-
-instance EnqueueStrategy SIRO V.Vector where
-
-  strategyEnqueue s q i = liftIO $ V.appendVector q i
+
+{-# LANGUAGE TypeFamilies, MultiParamTypeClasses, FunctionalDependencies #-}
+
+-- |
+-- Module     : Simulation.Aivika.QueueStrategy
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the queue strategies.
+--
+module Simulation.Aivika.QueueStrategy where
+
+import System.Random
+import Control.Monad.Trans
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Event
+import Simulation.Aivika.DoubleLinkedList
+import qualified Simulation.Aivika.PriorityQueue as PQ
+import qualified Simulation.Aivika.Vector as V
+
+-- | Defines the basic queue strategy.
+class QueueStrategy s where
+
+  -- | A queue used by the strategy.
+  data StrategyQueue s :: * -> *
+
+  -- | Create a new queue by the specified strategy.
+  newStrategyQueue :: s
+                      -- ^ the strategy
+                      -> Simulation (StrategyQueue s i)
+                      -- ^ a new queue
+
+  -- | Test whether the queue is empty.
+  strategyQueueNull :: StrategyQueue s i
+                       -- ^ the queue
+                       -> Event Bool
+                       -- ^ the result of the test
+
+-- | Defines a strategy with support of the dequeuing operation.
+class QueueStrategy s => DequeueStrategy s where
+
+  -- | Dequeue the front element and return it.
+  strategyDequeue :: StrategyQueue s i
+                     -- ^ the queue
+                     -> Event i
+                     -- ^ the dequeued element
+
+-- | It defines a strategy when we can enqueue a single element.
+class DequeueStrategy s => EnqueueStrategy s where
+
+  -- | Enqueue an element.
+  strategyEnqueue :: StrategyQueue s i
+                     -- ^ the queue
+                     -> i
+                     -- ^ the element to be enqueued
+                     -> Event ()
+                     -- ^ the action of enqueuing
+
+-- | It defines a strategy when we can enqueue an element with the specified priority.
+class DequeueStrategy s => PriorityQueueStrategy s p | s -> p where
+
+  -- | Enqueue an element with the specified priority.
+  strategyEnqueueWithPriority :: StrategyQueue s i
+                                 -- ^ the queue
+                                 -> p
+                                 -- ^ the priority
+                                 -> i
+                                 -- ^ the element to be enqueued
+                                 -> Event ()
+                                 -- ^ the action of enqueuing
+
+-- | Strategy: First Come - First Served (FCFS).
+data FCFS = FCFS deriving (Eq, Ord, Show)
+
+-- | Strategy: Last Come - First Served (LCFS)
+data LCFS = LCFS deriving (Eq, Ord, Show)
+
+-- | Strategy: Service in Random Order (SIRO).
+data SIRO = SIRO deriving (Eq, Ord, Show)
+
+-- | Strategy: Static Priorities. It uses the priority queue.
+data StaticPriorities = StaticPriorities deriving (Eq, Ord, Show)
+
+-- | An implementation of the 'FCFS' queue strategy.
+instance QueueStrategy FCFS where
+
+  -- | A queue used by the 'FCFS' strategy.
+  newtype StrategyQueue FCFS i = FCFSQueue (DoubleLinkedList i)
+
+  newStrategyQueue s = fmap FCFSQueue $ liftIO newList
+
+  strategyQueueNull (FCFSQueue q) = liftIO $ listNull q
+
+-- | An implementation of the 'FCFS' queue strategy.
+instance DequeueStrategy FCFS where
+
+  strategyDequeue (FCFSQueue q) =
+    liftIO $
+    do i <- listFirst q
+       listRemoveFirst q
+       return i
+
+-- | An implementation of the 'FCFS' queue strategy.
+instance EnqueueStrategy FCFS where
+
+  strategyEnqueue (FCFSQueue q) i = liftIO $ listAddLast q i
+
+-- | An implementation of the 'LCFS' queue strategy.
+instance QueueStrategy LCFS where
+
+  -- | A queue used by the 'LCFS' strategy.
+  newtype StrategyQueue LCFS i = LCFSQueue (DoubleLinkedList i)
+  
+  newStrategyQueue s = fmap LCFSQueue $ liftIO newList
+       
+  strategyQueueNull (LCFSQueue q) = liftIO $ listNull q
+
+-- | An implementation of the 'LCFS' queue strategy.
+instance DequeueStrategy LCFS where
+
+  strategyDequeue (LCFSQueue q) =
+    liftIO $
+    do i <- listFirst q
+       listRemoveFirst q
+       return i
+
+-- | An implementation of the 'LCFS' queue strategy.
+instance EnqueueStrategy LCFS where
+
+  strategyEnqueue (LCFSQueue q) i = liftIO $ listInsertFirst q i
+
+-- | An implementation of the 'StaticPriorities' queue strategy.
+instance QueueStrategy StaticPriorities where
+
+  -- | A queue used by the 'StaticPriorities' strategy.
+  newtype StrategyQueue StaticPriorities i = StaticPriorityQueue (PQ.PriorityQueue i)
+  
+  newStrategyQueue s = fmap StaticPriorityQueue $ liftIO PQ.newQueue
+
+  strategyQueueNull (StaticPriorityQueue q) = liftIO $ PQ.queueNull q
+
+-- | An implementation of the 'StaticPriorities' queue strategy.
+instance DequeueStrategy StaticPriorities where
+
+  strategyDequeue (StaticPriorityQueue q) =
+    liftIO $
+    do (_, i) <- PQ.queueFront q
+       PQ.dequeue q
+       return i
+
+-- | An implementation of the 'StaticPriorities' queue strategy.
+instance PriorityQueueStrategy StaticPriorities Double where
+
+  strategyEnqueueWithPriority (StaticPriorityQueue q) p i = liftIO $ PQ.enqueue q p i
+
+-- | An implementation of the 'SIRO' queue strategy.
+instance QueueStrategy SIRO where
+
+  -- | A queue used by the 'SIRO' strategy.
+  newtype StrategyQueue SIRO i = SIROQueue (V.Vector i)
+
+  newStrategyQueue s = fmap SIROQueue $ liftIO V.newVector
+
+  strategyQueueNull (SIROQueue q) =
+    liftIO $
+    do n <- V.vectorCount q
+       return (n == 0)
+
+-- | An implementation of the 'SIRO' queue strategy.
+instance DequeueStrategy SIRO where
+
+  strategyDequeue (SIROQueue q) =
+    liftIO $
+    do n <- V.vectorCount q
+       i <- getStdRandom (randomR (0, n - 1))
+       x <- V.readVector q i
+       V.vectorDeleteAt q i
+       return x
+
+-- | An implementation of the 'SIRO' queue strategy.
+instance EnqueueStrategy SIRO where
+
+  strategyEnqueue (SIROQueue q) i = liftIO $ V.appendVector q i
diff --git a/Simulation/Aivika/Ref.hs b/Simulation/Aivika/Ref.hs
--- a/Simulation/Aivika/Ref.hs
+++ b/Simulation/Aivika/Ref.hs
@@ -1,69 +1,69 @@
-
--- |
--- Module     : Simulation.Aivika.Ref
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines an updatable reference that depends on the event queue.
---
-module Simulation.Aivika.Ref
-       (Ref,
-        refChanged,
-        refChanged_,
-        newRef,
-        readRef,
-        writeRef,
-        modifyRef) where
-
-import Data.IORef
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Signal
-
--- | The 'Ref' type represents a mutable variable similar to the 'IORef' variable 
--- but only dependent on the event queue, which allows synchronizing the reference
--- with the model explicitly through the 'Event' monad.
-data Ref a = 
-  Ref { refValue :: IORef a, 
-        refChangedSource :: SignalSource a }
-
--- | Create a new reference.
-newRef :: a -> Simulation (Ref a)
-newRef a =
-  do x <- liftIO $ newIORef a
-     s <- newSignalSource
-     return Ref { refValue = x, 
-                  refChangedSource = s }
-     
--- | Read the value of a reference.
-readRef :: Ref a -> Event a
-readRef r = Event $ \p -> readIORef (refValue r)
-
--- | Write a new value into the reference.
-writeRef :: Ref a -> a -> Event ()
-writeRef r a = Event $ \p -> 
-  do a `seq` writeIORef (refValue r) a
-     invokeEvent p $ triggerSignal (refChangedSource r) a
-
--- | Mutate the contents of the reference.
-modifyRef :: Ref a -> (a -> a) -> Event ()
-modifyRef r f = Event $ \p -> 
-  do a <- readIORef (refValue r)
-     let b = f a
-     b `seq` writeIORef (refValue r) b
-     invokeEvent p $ triggerSignal (refChangedSource r) b
-
--- | Return a signal that notifies about every change of the reference state.
-refChanged :: Ref a -> Signal a
-refChanged v = publishSignal (refChangedSource v)
-
--- | Return a signal that notifies about every change of the reference state.
-refChanged_ :: Ref a -> Signal ()
-refChanged_ r = mapSignal (const ()) $ refChanged r
+
+-- |
+-- Module     : Simulation.Aivika.Ref
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines an updatable reference that depends on the event queue.
+--
+module Simulation.Aivika.Ref
+       (Ref,
+        refChanged,
+        refChanged_,
+        newRef,
+        readRef,
+        writeRef,
+        modifyRef) where
+
+import Data.IORef
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Signal
+
+-- | The 'Ref' type represents a mutable variable similar to the 'IORef' variable 
+-- but only dependent on the event queue, which allows synchronizing the reference
+-- with the model explicitly through the 'Event' monad.
+data Ref a = 
+  Ref { refValue :: IORef a, 
+        refChangedSource :: SignalSource a }
+
+-- | Create a new reference.
+newRef :: a -> Simulation (Ref a)
+newRef a =
+  do x <- liftIO $ newIORef a
+     s <- newSignalSource
+     return Ref { refValue = x, 
+                  refChangedSource = s }
+     
+-- | Read the value of a reference.
+readRef :: Ref a -> Event a
+readRef r = Event $ \p -> readIORef (refValue r)
+
+-- | Write a new value into the reference.
+writeRef :: Ref a -> a -> Event ()
+writeRef r a = Event $ \p -> 
+  do a `seq` writeIORef (refValue r) a
+     invokeEvent p $ triggerSignal (refChangedSource r) a
+
+-- | Mutate the contents of the reference.
+modifyRef :: Ref a -> (a -> a) -> Event ()
+modifyRef r f = Event $ \p -> 
+  do a <- readIORef (refValue r)
+     let b = f a
+     b `seq` writeIORef (refValue r) b
+     invokeEvent p $ triggerSignal (refChangedSource r) b
+
+-- | Return a signal that notifies about every change of the reference state.
+refChanged :: Ref a -> Signal a
+refChanged v = publishSignal (refChangedSource v)
+
+-- | Return a signal that notifies about every change of the reference state.
+refChanged_ :: Ref a -> Signal ()
+refChanged_ r = mapSignal (const ()) $ refChanged r
diff --git a/Simulation/Aivika/Ref/Light.hs b/Simulation/Aivika/Ref/Light.hs
deleted file mode 100644
--- a/Simulation/Aivika/Ref/Light.hs
+++ /dev/null
@@ -1,53 +0,0 @@
-
--- |
--- Module     : Simulation.Aivika.Ref.Light
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines a light-weight and more fast version of an updatable reference
--- that depends on the event queue but that doesn't supply with the signal notification.
---
-module Simulation.Aivika.Ref.Light
-       (Ref,
-        newRef,
-        readRef,
-        writeRef,
-        modifyRef) where
-
-import Data.IORef
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-
--- | The 'Ref' type represents a mutable variable similar to the 'IORef' variable 
--- but only dependent on the event queue, which allows synchronizing the reference
--- with the model explicitly through the 'Event' monad.
-newtype Ref a = 
-  Ref { refValue :: IORef a }
-
--- | Create a new reference.
-newRef :: a -> Simulation (Ref a)
-newRef a =
-  do x <- liftIO $ newIORef a
-     return Ref { refValue = x }
-     
--- | Read the value of a reference.
-readRef :: Ref a -> Event a
-readRef r = Event $ \p -> readIORef (refValue r)
-
--- | Write a new value into the reference.
-writeRef :: Ref a -> a -> Event ()
-writeRef r a = Event $ \p -> 
-  a `seq` writeIORef (refValue r) a
-
--- | Mutate the contents of the reference.
-modifyRef :: Ref a -> (a -> a) -> Event ()
-modifyRef r f = Event $ \p -> 
-  do a <- readIORef (refValue r)
-     let b = f a
-     b `seq` writeIORef (refValue r) b
diff --git a/Simulation/Aivika/Ref/Plain.hs b/Simulation/Aivika/Ref/Plain.hs
new file mode 100644
--- /dev/null
+++ b/Simulation/Aivika/Ref/Plain.hs
@@ -0,0 +1,53 @@
+
+-- |
+-- Module     : Simulation.Aivika.Ref.Plain
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines a light-weight and more fast version of an updatable reference
+-- that depends on the event queue but that doesn't supply with the signal notification.
+--
+module Simulation.Aivika.Ref.Plain
+       (Ref,
+        newRef,
+        readRef,
+        writeRef,
+        modifyRef) where
+
+import Data.IORef
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Event
+
+-- | The 'Ref' type represents a mutable variable similar to the 'IORef' variable 
+-- but only dependent on the event queue, which allows synchronizing the reference
+-- with the model explicitly through the 'Event' monad.
+newtype Ref a = 
+  Ref { refValue :: IORef a }
+
+-- | Create a new reference.
+newRef :: a -> Simulation (Ref a)
+newRef a =
+  do x <- liftIO $ newIORef a
+     return Ref { refValue = x }
+     
+-- | Read the value of a reference.
+readRef :: Ref a -> Event a
+readRef r = Event $ \p -> readIORef (refValue r)
+
+-- | Write a new value into the reference.
+writeRef :: Ref a -> a -> Event ()
+writeRef r a = Event $ \p -> 
+  a `seq` writeIORef (refValue r) a
+
+-- | Mutate the contents of the reference.
+modifyRef :: Ref a -> (a -> a) -> Event ()
+modifyRef r f = Event $ \p -> 
+  do a <- readIORef (refValue r)
+     let b = f a
+     b `seq` writeIORef (refValue r) b
diff --git a/Simulation/Aivika/Resource.hs b/Simulation/Aivika/Resource.hs
--- a/Simulation/Aivika/Resource.hs
+++ b/Simulation/Aivika/Resource.hs
@@ -1,336 +1,335 @@
-
--- |
--- Module     : Simulation.Aivika.Resource
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines the resource which can be acquired and 
--- then released by the discontinuous process 'Process'.
--- The resource can be either limited by the upper bound
--- (run-time check), or it can have no upper bound. The latter
--- is useful for modeling the infinite queue, for example.
---
-module Simulation.Aivika.Resource
-       (-- * Resource Types
-        FCFSResource,
-        LCFSResource,
-        SIROResource,
-        PriorityResource,
-        Resource,
-        -- * Creating Resource
-        newFCFSResource,
-        newFCFSResourceWithMaxCount,
-        newLCFSResource,
-        newLCFSResourceWithMaxCount,
-        newSIROResource,
-        newSIROResourceWithMaxCount,
-        newPriorityResource,
-        newPriorityResourceWithMaxCount,
-        newResource,
-        newResourceWithMaxCount,
-        -- * Resource Properties
-        resourceStrategy,
-        resourceMaxCount,
-        resourceCount,
-        -- * Requesting for and Releasing Resource
-        requestResource,
-        requestResourceWithPriority,
-        tryRequestResourceWithinEvent,
-        releaseResource,
-        releaseResourceWithinEvent,
-        usingResource,
-        usingResourceWithPriority) where
-
-import Data.IORef
-import Control.Monad
-import Control.Monad.Trans
-import Control.Exception
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Cont
-import Simulation.Aivika.Internal.Process
-import Simulation.Aivika.QueueStrategy
-
-import qualified Simulation.Aivika.DoubleLinkedList as DLL 
-import qualified Simulation.Aivika.Vector as V
-import qualified Simulation.Aivika.PriorityQueue as PQ
-
--- | The ordinary FCFS (First Come - First Serviced) resource.
-type FCFSResource = Resource FCFS DLL.DoubleLinkedList
-
--- | The ordinary LCFS (Last Come - First Serviced) resource.
-type LCFSResource = Resource LCFS DLL.DoubleLinkedList
-
--- | The SIRO (Serviced in Random Order) resource.
-type SIROResource = Resource SIRO V.Vector
-
--- | The resource with static priorities.
-type PriorityResource = Resource StaticPriorities PQ.PriorityQueue
-
--- | Represents the resource with strategy @s@ applied for queuing the requests.
--- The @q@ type is dependent and it is usually derived automatically.
-data Resource s q = 
-  Resource { resourceStrategy :: s,
-             -- ^ Return the strategy applied for queuing the requests.
-             resourceMaxCount :: Maybe Int,
-             -- ^ Return the maximum count of the resource, where 'Nothing'
-             -- means that the resource has no upper bound.
-             resourceCountRef :: IORef Int, 
-             resourceWaitList :: q (Event (Maybe (ContParams ()))) }
-
-instance Eq (Resource s q) where
-  x == y = resourceCountRef x == resourceCountRef y  -- unique references
-
--- | Create a new FCFS resource with the specified initial count which value becomes
--- the upper bound as well.
-newFCFSResource :: Int
-                   -- ^ the initial count (and maximal count too) of the resource
-                   -> Simulation FCFSResource
-newFCFSResource = newResource FCFS
-
--- | Create a new FCFS resource with the specified initial and maximum counts,
--- where 'Nothing' means that the resource has no upper bound.
-newFCFSResourceWithMaxCount :: Int
-                               -- ^ the initial count of the resource
-                               -> Maybe Int
-                               -- ^ the maximum count of the resource, which can be indefinite
-                               -> Simulation FCFSResource
-newFCFSResourceWithMaxCount = newResourceWithMaxCount FCFS
-
--- | Create a new LCFS resource with the specified initial count which value becomes
--- the upper bound as well.
-newLCFSResource :: Int
-                   -- ^ the initial count (and maximal count too) of the resource
-                   -> Simulation LCFSResource
-newLCFSResource = newResource LCFS
-
--- | Create a new LCFS resource with the specified initial and maximum counts,
--- where 'Nothing' means that the resource has no upper bound.
-newLCFSResourceWithMaxCount :: Int
-                               -- ^ the initial count of the resource
-                               -> Maybe Int
-                               -- ^ the maximum count of the resource, which can be indefinite
-                               -> Simulation LCFSResource
-newLCFSResourceWithMaxCount = newResourceWithMaxCount LCFS
-
--- | Create a new SIRO resource with the specified initial count which value becomes
--- the upper bound as well.
-newSIROResource :: Int
-                   -- ^ the initial count (and maximal count too) of the resource
-                   -> Simulation SIROResource
-newSIROResource = newResource SIRO
-
--- | Create a new SIRO resource with the specified initial and maximum counts,
--- where 'Nothing' means that the resource has no upper bound.
-newSIROResourceWithMaxCount :: Int
-                               -- ^ the initial count of the resource
-                               -> Maybe Int
-                               -- ^ the maximum count of the resource, which can be indefinite
-                               -> Simulation SIROResource
-newSIROResourceWithMaxCount = newResourceWithMaxCount SIRO
-
--- | Create a new priority resource with the specified initial count which value becomes
--- the upper bound as well.
-newPriorityResource :: Int
-                       -- ^ the initial count (and maximal count too) of the resource
-                       -> Simulation PriorityResource
-newPriorityResource = newResource StaticPriorities
-
--- | Create a new priority resource with the specified initial and maximum counts,
--- where 'Nothing' means that the resource has no upper bound.
-newPriorityResourceWithMaxCount :: Int
-                                   -- ^ the initial count of the resource
-                                   -> Maybe Int
-                                   -- ^ the maximum count of the resource, which can be indefinite
-                                   -> Simulation PriorityResource
-newPriorityResourceWithMaxCount = newResourceWithMaxCount StaticPriorities
-
--- | Create a new resource with the specified queue strategy and initial count.
--- The last value becomes the upper bound as well.
-newResource :: QueueStrategy s q
-               => s
-               -- ^ the strategy for managing the queuing requests
-               -> Int
-               -- ^ the initial count (and maximal count too) of the resource
-               -> Simulation (Resource s q)
-newResource s count =
-  Simulation $ \r ->
-  do when (count < 0) $
-       error $
-       "The resource count cannot be negative: " ++
-       "newResource."
-     countRef <- newIORef count
-     waitList <- invokeSimulation r $ newStrategyQueue s
-     return Resource { resourceStrategy = s,
-                       resourceMaxCount = Just count,
-                       resourceCountRef = countRef,
-                       resourceWaitList = waitList }
-
--- | Create a new resource with the specified queue strategy, initial and maximum counts,
--- where 'Nothing' means that the resource has no upper bound.
-newResourceWithMaxCount :: QueueStrategy s q
-                           => s
-                           -- ^ the strategy for managing the queuing requests
-                           -> Int
-                           -- ^ the initial count of the resource
-                           -> Maybe Int
-                           -- ^ the maximum count of the resource, which can be indefinite
-                           -> Simulation (Resource s q)
-newResourceWithMaxCount s count maxCount =
-  Simulation $ \r ->
-  do when (count < 0) $
-       error $
-       "The resource count cannot be negative: " ++
-       "newResourceWithMaxCount."
-     case maxCount of
-       Just maxCount | count > maxCount ->
-         error $
-         "The resource count cannot be greater than " ++
-         "its maximum value: newResourceWithMaxCount."
-       _ ->
-         return ()
-     countRef <- newIORef count
-     waitList <- invokeSimulation r $ newStrategyQueue s
-     return Resource { resourceStrategy = s,
-                       resourceMaxCount = maxCount,
-                       resourceCountRef = countRef,
-                       resourceWaitList = waitList }
-
--- | Return the current count of the resource.
-resourceCount :: Resource s q -> Event Int
-resourceCount r =
-  Event $ \p -> readIORef (resourceCountRef r)
-
--- | Request for the resource decreasing its count in case of success,
--- otherwise suspending the discontinuous process until some other 
--- process releases the resource.
-requestResource :: EnqueueStrategy s q
-                   => Resource s q
-                   -- ^ the requested resource
-                   -> Process ()
-requestResource r =
-  Process $ \pid ->
-  Cont $ \c ->
-  Event $ \p ->
-  do a <- readIORef (resourceCountRef r)
-     if a == 0 
-       then do c <- invokeEvent p $ contFreeze c
-               invokeEvent p $
-                 strategyEnqueue (resourceStrategy r) (resourceWaitList r) c
-       else do let a' = a - 1
-               a' `seq` writeIORef (resourceCountRef r) a'
-               invokeEvent p $ resumeCont c ()
-
--- | Request with the priority for the resource decreasing its count
--- in case of success, otherwise suspending the discontinuous process
--- until some other process releases the resource.
-requestResourceWithPriority :: PriorityQueueStrategy s q p
-                               => Resource s q
-                               -- ^ the requested resource
-                               -> p
-                               -- ^ the priority
-                               -> Process ()
-requestResourceWithPriority r priority =
-  Process $ \pid ->
-  Cont $ \c ->
-  Event $ \p ->
-  do a <- readIORef (resourceCountRef r)
-     if a == 0 
-       then do c <- invokeEvent p $ contFreeze c
-               invokeEvent p $
-                 strategyEnqueueWithPriority (resourceStrategy r) (resourceWaitList r) priority c
-       else do let a' = a - 1
-               a' `seq` writeIORef (resourceCountRef r) a'
-               invokeEvent p $ resumeCont c ()
-
--- | Release the resource increasing its count and resuming one of the
--- previously suspended processes as possible.
-releaseResource :: DequeueStrategy s q
-                   => Resource s q
-                   -- ^ the resource to release
-                   -> Process ()
-releaseResource r = 
-  Process $ \_ ->
-  Cont $ \c ->
-  Event $ \p ->
-  do invokeEvent p $ releaseResourceWithinEvent r
-     invokeEvent p $ resumeCont c ()
-
--- | Release the resource increasing its count and resuming one of the
--- previously suspended processes as possible.
-releaseResourceWithinEvent :: DequeueStrategy s q
-                              => Resource s q
-                              -- ^ the resource to release
-                              -> Event ()
-releaseResourceWithinEvent r =
-  Event $ \p ->
-  do a <- readIORef (resourceCountRef r)
-     let a' = a + 1
-     case resourceMaxCount r of
-       Just maxCount | a' > maxCount ->
-         error $
-         "The resource count cannot be greater than " ++
-         "its maximum value: releaseResourceWithinEvent."
-       _ ->
-         return ()
-     f <- invokeEvent p $
-          strategyQueueNull (resourceStrategy r) (resourceWaitList r)
-     if f 
-       then a' `seq` writeIORef (resourceCountRef r) a'
-       else do c <- invokeEvent p $
-                    strategyDequeue (resourceStrategy r) (resourceWaitList r)
-               c <- invokeEvent p c
-               case c of
-                 Nothing ->
-                   invokeEvent p $ releaseResourceWithinEvent r
-                 Just c  ->
-                   invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
-
--- | Try to request for the resource decreasing its count in case of success
--- and returning 'True' in the 'Event' monad; otherwise, returning 'False'.
-tryRequestResourceWithinEvent :: Resource s q
-                                 -- ^ the resource which we try to request for
-                                 -> Event Bool
-tryRequestResourceWithinEvent r =
-  Event $ \p ->
-  do a <- readIORef (resourceCountRef r)
-     if a == 0 
-       then return False
-       else do let a' = a - 1
-               a' `seq` writeIORef (resourceCountRef r) a'
-               return True
-               
--- | Acquire the resource, perform some action and safely release the resource               
--- in the end, even if the 'IOException' was raised within the action. 
-usingResource :: EnqueueStrategy s q
-                 => Resource s q
-                 -- ^ the resource we are going to request for and then release in the end
-                 -> Process a
-                 -- ^ the action we are going to apply having the resource
-                 -> Process a
-                 -- ^ the result of the action
-usingResource r m =
-  do requestResource r
-     finallyProcess m $ releaseResource r
-
--- | Acquire the resource with the specified priority, perform some action and
--- safely release the resource in the end, even if the 'IOException' was raised
--- within the action.
-usingResourceWithPriority :: PriorityQueueStrategy s q p
-                             => Resource s q
-                             -- ^ the resource we are going to request for and then
-                             -- release in the end
-                             -> p
-                             -- ^ the priority
-                             -> Process a
-                             -- ^ the action we are going to apply having the resource
-                             -> Process a
-                             -- ^ the result of the action
-usingResourceWithPriority r priority m =
-  do requestResourceWithPriority r priority
-     finallyProcess m $ releaseResource r
+
+-- |
+-- Module     : Simulation.Aivika.Resource
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the resource which can be acquired and 
+-- then released by the discontinuous process 'Process'.
+-- The resource can be either limited by the upper bound
+-- (run-time check), or it can have no upper bound. The latter
+-- is useful for modeling the infinite queue, for example.
+--
+module Simulation.Aivika.Resource
+       (-- * Resource Types
+        FCFSResource,
+        LCFSResource,
+        SIROResource,
+        PriorityResource,
+        Resource,
+        -- * Creating Resource
+        newFCFSResource,
+        newFCFSResourceWithMaxCount,
+        newLCFSResource,
+        newLCFSResourceWithMaxCount,
+        newSIROResource,
+        newSIROResourceWithMaxCount,
+        newPriorityResource,
+        newPriorityResourceWithMaxCount,
+        newResource,
+        newResourceWithMaxCount,
+        -- * Resource Properties
+        resourceStrategy,
+        resourceMaxCount,
+        resourceCount,
+        -- * Requesting for and Releasing Resource
+        requestResource,
+        requestResourceWithPriority,
+        tryRequestResourceWithinEvent,
+        releaseResource,
+        releaseResourceWithinEvent,
+        usingResource,
+        usingResourceWithPriority) where
+
+import Data.IORef
+import Control.Monad
+import Control.Monad.Trans
+import Control.Exception
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Cont
+import Simulation.Aivika.Internal.Process
+import Simulation.Aivika.QueueStrategy
+
+import qualified Simulation.Aivika.DoubleLinkedList as DLL 
+import qualified Simulation.Aivika.Vector as V
+import qualified Simulation.Aivika.PriorityQueue as PQ
+
+-- | The ordinary FCFS (First Come - First Serviced) resource.
+type FCFSResource = Resource FCFS
+
+-- | The ordinary LCFS (Last Come - First Serviced) resource.
+type LCFSResource = Resource LCFS
+
+-- | The SIRO (Serviced in Random Order) resource.
+type SIROResource = Resource SIRO
+
+-- | The resource with static priorities.
+type PriorityResource = Resource StaticPriorities
+
+-- | Represents the resource with strategy @s@ applied for queuing the requests.
+data Resource s = 
+  Resource { resourceStrategy :: s,
+             -- ^ Return the strategy applied for queuing the requests.
+             resourceMaxCount :: Maybe Int,
+             -- ^ Return the maximum count of the resource, where 'Nothing'
+             -- means that the resource has no upper bound.
+             resourceCountRef :: IORef Int, 
+             resourceWaitList :: StrategyQueue s (Event (Maybe (ContParams ()))) }
+
+instance Eq (Resource s) where
+  x == y = resourceCountRef x == resourceCountRef y  -- unique references
+
+-- | Create a new FCFS resource with the specified initial count which value becomes
+-- the upper bound as well.
+newFCFSResource :: Int
+                   -- ^ the initial count (and maximal count too) of the resource
+                   -> Simulation FCFSResource
+newFCFSResource = newResource FCFS
+
+-- | Create a new FCFS resource with the specified initial and maximum counts,
+-- where 'Nothing' means that the resource has no upper bound.
+newFCFSResourceWithMaxCount :: Int
+                               -- ^ the initial count of the resource
+                               -> Maybe Int
+                               -- ^ the maximum count of the resource, which can be indefinite
+                               -> Simulation FCFSResource
+newFCFSResourceWithMaxCount = newResourceWithMaxCount FCFS
+
+-- | Create a new LCFS resource with the specified initial count which value becomes
+-- the upper bound as well.
+newLCFSResource :: Int
+                   -- ^ the initial count (and maximal count too) of the resource
+                   -> Simulation LCFSResource
+newLCFSResource = newResource LCFS
+
+-- | Create a new LCFS resource with the specified initial and maximum counts,
+-- where 'Nothing' means that the resource has no upper bound.
+newLCFSResourceWithMaxCount :: Int
+                               -- ^ the initial count of the resource
+                               -> Maybe Int
+                               -- ^ the maximum count of the resource, which can be indefinite
+                               -> Simulation LCFSResource
+newLCFSResourceWithMaxCount = newResourceWithMaxCount LCFS
+
+-- | Create a new SIRO resource with the specified initial count which value becomes
+-- the upper bound as well.
+newSIROResource :: Int
+                   -- ^ the initial count (and maximal count too) of the resource
+                   -> Simulation SIROResource
+newSIROResource = newResource SIRO
+
+-- | Create a new SIRO resource with the specified initial and maximum counts,
+-- where 'Nothing' means that the resource has no upper bound.
+newSIROResourceWithMaxCount :: Int
+                               -- ^ the initial count of the resource
+                               -> Maybe Int
+                               -- ^ the maximum count of the resource, which can be indefinite
+                               -> Simulation SIROResource
+newSIROResourceWithMaxCount = newResourceWithMaxCount SIRO
+
+-- | Create a new priority resource with the specified initial count which value becomes
+-- the upper bound as well.
+newPriorityResource :: Int
+                       -- ^ the initial count (and maximal count too) of the resource
+                       -> Simulation PriorityResource
+newPriorityResource = newResource StaticPriorities
+
+-- | Create a new priority resource with the specified initial and maximum counts,
+-- where 'Nothing' means that the resource has no upper bound.
+newPriorityResourceWithMaxCount :: Int
+                                   -- ^ the initial count of the resource
+                                   -> Maybe Int
+                                   -- ^ the maximum count of the resource, which can be indefinite
+                                   -> Simulation PriorityResource
+newPriorityResourceWithMaxCount = newResourceWithMaxCount StaticPriorities
+
+-- | Create a new resource with the specified queue strategy and initial count.
+-- The last value becomes the upper bound as well.
+newResource :: QueueStrategy s
+               => s
+               -- ^ the strategy for managing the queuing requests
+               -> Int
+               -- ^ the initial count (and maximal count too) of the resource
+               -> Simulation (Resource s)
+newResource s count =
+  Simulation $ \r ->
+  do when (count < 0) $
+       error $
+       "The resource count cannot be negative: " ++
+       "newResource."
+     countRef <- newIORef count
+     waitList <- invokeSimulation r $ newStrategyQueue s
+     return Resource { resourceStrategy = s,
+                       resourceMaxCount = Just count,
+                       resourceCountRef = countRef,
+                       resourceWaitList = waitList }
+
+-- | Create a new resource with the specified queue strategy, initial and maximum counts,
+-- where 'Nothing' means that the resource has no upper bound.
+newResourceWithMaxCount :: QueueStrategy s
+                           => s
+                           -- ^ the strategy for managing the queuing requests
+                           -> Int
+                           -- ^ the initial count of the resource
+                           -> Maybe Int
+                           -- ^ the maximum count of the resource, which can be indefinite
+                           -> Simulation (Resource s)
+newResourceWithMaxCount s count maxCount =
+  Simulation $ \r ->
+  do when (count < 0) $
+       error $
+       "The resource count cannot be negative: " ++
+       "newResourceWithMaxCount."
+     case maxCount of
+       Just maxCount | count > maxCount ->
+         error $
+         "The resource count cannot be greater than " ++
+         "its maximum value: newResourceWithMaxCount."
+       _ ->
+         return ()
+     countRef <- newIORef count
+     waitList <- invokeSimulation r $ newStrategyQueue s
+     return Resource { resourceStrategy = s,
+                       resourceMaxCount = maxCount,
+                       resourceCountRef = countRef,
+                       resourceWaitList = waitList }
+
+-- | Return the current count of the resource.
+resourceCount :: Resource s -> Event Int
+resourceCount r =
+  Event $ \p -> readIORef (resourceCountRef r)
+
+-- | Request for the resource decreasing its count in case of success,
+-- otherwise suspending the discontinuous process until some other 
+-- process releases the resource.
+requestResource :: EnqueueStrategy s
+                   => Resource s
+                   -- ^ the requested resource
+                   -> Process ()
+requestResource r =
+  Process $ \pid ->
+  Cont $ \c ->
+  Event $ \p ->
+  do a <- readIORef (resourceCountRef r)
+     if a == 0 
+       then do c <- invokeEvent p $ contFreeze c
+               invokeEvent p $
+                 strategyEnqueue (resourceWaitList r) c
+       else do let a' = a - 1
+               a' `seq` writeIORef (resourceCountRef r) a'
+               invokeEvent p $ resumeCont c ()
+
+-- | Request with the priority for the resource decreasing its count
+-- in case of success, otherwise suspending the discontinuous process
+-- until some other process releases the resource.
+requestResourceWithPriority :: PriorityQueueStrategy s p
+                               => Resource s
+                               -- ^ the requested resource
+                               -> p
+                               -- ^ the priority
+                               -> Process ()
+requestResourceWithPriority r priority =
+  Process $ \pid ->
+  Cont $ \c ->
+  Event $ \p ->
+  do a <- readIORef (resourceCountRef r)
+     if a == 0 
+       then do c <- invokeEvent p $ contFreeze c
+               invokeEvent p $
+                 strategyEnqueueWithPriority (resourceWaitList r) priority c
+       else do let a' = a - 1
+               a' `seq` writeIORef (resourceCountRef r) a'
+               invokeEvent p $ resumeCont c ()
+
+-- | Release the resource increasing its count and resuming one of the
+-- previously suspended processes as possible.
+releaseResource :: DequeueStrategy s
+                   => Resource s
+                   -- ^ the resource to release
+                   -> Process ()
+releaseResource r = 
+  Process $ \_ ->
+  Cont $ \c ->
+  Event $ \p ->
+  do invokeEvent p $ releaseResourceWithinEvent r
+     invokeEvent p $ resumeCont c ()
+
+-- | Release the resource increasing its count and resuming one of the
+-- previously suspended processes as possible.
+releaseResourceWithinEvent :: DequeueStrategy s
+                              => Resource s
+                              -- ^ the resource to release
+                              -> Event ()
+releaseResourceWithinEvent r =
+  Event $ \p ->
+  do a <- readIORef (resourceCountRef r)
+     let a' = a + 1
+     case resourceMaxCount r of
+       Just maxCount | a' > maxCount ->
+         error $
+         "The resource count cannot be greater than " ++
+         "its maximum value: releaseResourceWithinEvent."
+       _ ->
+         return ()
+     f <- invokeEvent p $
+          strategyQueueNull (resourceWaitList r)
+     if f 
+       then a' `seq` writeIORef (resourceCountRef r) a'
+       else do c <- invokeEvent p $
+                    strategyDequeue (resourceWaitList r)
+               c <- invokeEvent p c
+               case c of
+                 Nothing ->
+                   invokeEvent p $ releaseResourceWithinEvent r
+                 Just c  ->
+                   invokeEvent p $ enqueueEvent (pointTime p) $ resumeCont c ()
+
+-- | Try to request for the resource decreasing its count in case of success
+-- and returning 'True' in the 'Event' monad; otherwise, returning 'False'.
+tryRequestResourceWithinEvent :: Resource s
+                                 -- ^ the resource which we try to request for
+                                 -> Event Bool
+tryRequestResourceWithinEvent r =
+  Event $ \p ->
+  do a <- readIORef (resourceCountRef r)
+     if a == 0 
+       then return False
+       else do let a' = a - 1
+               a' `seq` writeIORef (resourceCountRef r) a'
+               return True
+               
+-- | Acquire the resource, perform some action and safely release the resource               
+-- in the end, even if the 'IOException' was raised within the action. 
+usingResource :: EnqueueStrategy s
+                 => Resource s
+                 -- ^ the resource we are going to request for and then release in the end
+                 -> Process a
+                 -- ^ the action we are going to apply having the resource
+                 -> Process a
+                 -- ^ the result of the action
+usingResource r m =
+  do requestResource r
+     finallyProcess m $ releaseResource r
+
+-- | Acquire the resource with the specified priority, perform some action and
+-- safely release the resource in the end, even if the 'IOException' was raised
+-- within the action.
+usingResourceWithPriority :: PriorityQueueStrategy s p
+                             => Resource s
+                             -- ^ the resource we are going to request for and then
+                             -- release in the end
+                             -> p
+                             -- ^ the priority
+                             -> Process a
+                             -- ^ the action we are going to apply having the resource
+                             -> Process a
+                             -- ^ the result of the action
+usingResourceWithPriority r priority m =
+  do requestResourceWithPriority r priority
+     finallyProcess m $ releaseResource r
diff --git a/Simulation/Aivika/Results.hs b/Simulation/Aivika/Results.hs
--- a/Simulation/Aivika/Results.hs
+++ b/Simulation/Aivika/Results.hs
@@ -1,1841 +1,1884 @@
-
-{-# LANGUAGE CPP, FlexibleContexts, FlexibleInstances, UndecidableInstances, ExistentialQuantification #-}
-
--- |
--- Module     : Simulation.Aivika.Results
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module allows exporting the simulation results from the model.
---
-module Simulation.Aivika.Results
-       (-- * Definitions Focused on Modeling
-        Results,
-        ResultTransform,
-        ResultName,
-        ResultProvider(..),
-        results,
-        expandResults,
-        resultSummary,
-        resultByName,
-        resultByProperty,
-        resultByIndex,
-        resultBySubscript,
-        ResultComputing(..),
-        ResultComputation(..),
-        ResultListWithSubscript(..),
-        ResultArrayWithSubscript(..),
-#ifndef __HASTE__
-        ResultVectorWithSubscript(..),
-#endif
-        -- * Definitions Focused on Using the Library
-        ResultExtract(..),
-        extractIntResults,
-        extractIntListResults,
-        extractIntStatsResults,
-        extractIntStatsEitherResults,
-        extractIntTimingStatsResults,
-        extractDoubleResults,
-        extractDoubleListResults,
-        extractDoubleStatsResults,
-        extractDoubleStatsEitherResults,
-        extractDoubleTimingStatsResults,
-        extractStringResults,
-        ResultPredefinedSignals(..),
-        newResultPredefinedSignals,
-        resultSignal,
-        pureResultSignal,
-        -- * Definitions Focused on Extending the Library 
-        ResultSourceMap,
-        ResultSource(..),
-        ResultItem(..),
-        ResultItemable(..),
-        resultItemToIntStatsEitherValue,
-        resultItemToDoubleStatsEitherValue,
-        ResultObject(..),
-        ResultProperty(..),
-        ResultVector(..),
-        memoResultVectorSignal,
-        memoResultVectorSummary,
-        ResultSeparator(..),
-        ResultValue(..),
-        voidResultValue,
-        ResultContainer(..),
-        resultContainerPropertySource,
-        resultContainerConstProperty,
-        resultContainerIntegProperty,
-        resultContainerProperty,
-        resultContainerMapProperty,
-        resultValueToContainer,
-        resultContainerToValue,
-        ResultData,
-        ResultSignal(..),
-        maybeResultSignal,
-        textResultSource,
-        timeResultSource,
-        resultSourceToIntValues,
-        resultSourceToIntListValues,
-        resultSourceToIntStatsValues,
-        resultSourceToIntStatsEitherValues,
-        resultSourceToIntTimingStatsValues,
-        resultSourceToDoubleValues,
-        resultSourceToDoubleListValues,
-        resultSourceToDoubleStatsValues,
-        resultSourceToDoubleStatsEitherValues,
-        resultSourceToDoubleTimingStatsValues,
-        resultSourceToStringValues,
-        resultSourceMap,
-        resultSourceList,
-        resultsToIntValues,
-        resultsToIntListValues,
-        resultsToIntStatsValues,
-        resultsToIntStatsEitherValues,
-        resultsToIntTimingStatsValues,
-        resultsToDoubleValues,
-        resultsToDoubleListValues,
-        resultsToDoubleStatsValues,
-        resultsToDoubleStatsEitherValues,
-        resultsToDoubleTimingStatsValues,
-        resultsToStringValues,
-        composeResults,
-        computeResultValue) where
-
-import Control.Monad
-import Control.Monad.Trans
-
-import qualified Data.Map as M
-import qualified Data.Array as A
-
-#ifndef __HASTE__
-import qualified Data.Vector as V
-#endif
-
-import Data.Ix
-import Data.Maybe
-import Data.Monoid
-
-import Simulation.Aivika.Parameter
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Statistics.Accumulator
-import Simulation.Aivika.Ref
-import qualified Simulation.Aivika.Ref.Light as LR
-import Simulation.Aivika.Var
-import Simulation.Aivika.QueueStrategy
-import qualified Simulation.Aivika.Queue as Q
-import qualified Simulation.Aivika.Queue.Infinite as IQ
-import Simulation.Aivika.Arrival
-import Simulation.Aivika.Server
-import Simulation.Aivika.Results.Locale
-
--- | A name used for indentifying the results when generating output.
-type ResultName = String
-
--- | Represents a provider of the simulation results. It is usually something, or
--- an array of something, or a list of such values which can be simulated to get data.
-class ResultProvider p where
-  
-  -- | Return the source of simulation results by the specified name, description and provider. 
-  resultSource :: ResultName -> ResultDescription -> p -> ResultSource
-  resultSource name descr = resultSource' name (UserDefinedResultId descr)
-
-  -- | Return the source of simulation results by the specified name, identifier and provider. 
-  resultSource' :: ResultName -> ResultId -> p -> ResultSource
-
--- | It associates the result sources with their names.
-type ResultSourceMap = M.Map ResultName ResultSource
-
--- | Encapsulates the result source.
-data ResultSource = ResultItemSource ResultItem
-                    -- ^ The source consisting of a single item.
-                  | ResultObjectSource ResultObject
-                    -- ^ An object-like source.
-                  | ResultVectorSource ResultVector
-                    -- ^ A vector-like structure.
-                  | ResultSeparatorSource ResultSeparator
-                    -- ^ This is a separator text.
-
--- | The simulation results represented by a single item.
-data ResultItem = forall a. ResultItemable a => ResultItem a
-
--- | Represents a type class for actual representing the items.
-class ResultItemable a where
-
-  -- | The item name.
-  resultItemName :: a -> ResultName
-  
-  -- | The item identifier.
-  resultItemId :: a -> ResultId
-
-  -- | Whether the item emits a signal.
-  resultItemSignal :: a -> ResultSignal
-
-  -- | Return an expanded version of the item, for example,
-  -- when the statistics item is exanded to an object
-  -- having the corresponded properties for count, average,
-  -- deviation, minimum, maximum and so on.
-  resultItemExpansion :: a -> ResultSource
-  
-  -- | Return usually a short version of the item, i.e. its summary,
-  -- but values of some data types such as statistics can be
-  -- implicitly expanded to an object with the corresponded
-  -- properties.
-  resultItemSummary :: a -> ResultSource
-  
-  -- | Return integer numbers in time points.
-  resultItemToIntValue :: a -> ResultValue Int
-
-  -- | Return lists of integer numbers in time points. 
-  resultItemToIntListValue :: a -> ResultValue [Int]
-
-  -- | Return statistics based on integer numbers.
-  resultItemToIntStatsValue :: a -> ResultValue (SamplingStats Int)
-
-  -- | Return timing statistics based on integer numbers.
-  resultItemToIntTimingStatsValue :: a -> ResultValue (TimingStats Int)
-
-  -- | Return double numbers in time points.
-  resultItemToDoubleValue :: a -> ResultValue Double
-  
-  -- | Return lists of double numbers in time points. 
-  resultItemToDoubleListValue :: a -> ResultValue [Double]
-
-  -- | Return statistics based on double numbers.
-  resultItemToDoubleStatsValue :: a -> ResultValue (SamplingStats Double)
-
-  -- | Return timing statistics based on integer numbers.
-  resultItemToDoubleTimingStatsValue :: a -> ResultValue (TimingStats Double)
-
-  -- | Return string representations in time points.
-  resultItemToStringValue :: a -> ResultValue String
-
--- | Return a version optimised for fast aggregation of the statistics based on integer numbers.
-resultItemToIntStatsEitherValue :: ResultItemable a => a -> ResultValue (Either Int (SamplingStats Int))
-resultItemToIntStatsEitherValue x =
-  case resultValueData x1 of
-    Just a1 -> fmap Left x1
-    Nothing ->
-      case resultValueData x2 of
-        Just a2 -> fmap Right x2
-        Nothing -> voidResultValue x2
-  where
-    x1 = resultItemToIntValue x
-    x2 = resultItemToIntStatsValue x
-
--- | Return a version optimised for fast aggregation of the statistics based on double floating point numbers.
-resultItemToDoubleStatsEitherValue :: ResultItemable a => a -> ResultValue (Either Double (SamplingStats Double))
-resultItemToDoubleStatsEitherValue x =
-  case resultValueData x1 of
-    Just a1 -> fmap Left x1
-    Nothing ->
-      case resultValueData x2 of
-        Just a2 -> fmap Right x2
-        Nothing -> voidResultValue x2
-  where
-    x1 = resultItemToDoubleValue x
-    x2 = resultItemToDoubleStatsValue x
-
--- | The simulation results represented by an object having properties.
-data ResultObject =
-  ResultObject { resultObjectName :: ResultName,
-                 -- ^ The object name.
-                 resultObjectId :: ResultId,
-                 -- ^ The object identifier.
-                 resultObjectTypeId :: ResultId,
-                 -- ^ The object type identifier.
-                 resultObjectProperties :: [ResultProperty],
-                 -- ^ The object properties.
-                 resultObjectSignal :: ResultSignal,
-                 -- ^ A combined signal if present.
-                 resultObjectSummary :: ResultSource
-                 -- ^ A short version of the object, i.e. its summary.
-               }
-
--- | The object property containing the simulation results.
-data ResultProperty =
-  ResultProperty { resultPropertyLabel :: ResultName,
-                   -- ^ The property short label.
-                   resultPropertyId :: ResultId,
-                   -- ^ The property identifier.
-                   resultPropertySource :: ResultSource
-                   -- ^ The simulation results supplied by the property.
-                 }
-
--- | The simulation results represented by a vector.
-data ResultVector =
-  ResultVector { resultVectorName :: ResultName,
-                 -- ^ The vector name.
-                 resultVectorId :: ResultId,
-                 -- ^ The vector identifier.
-                 resultVectorItems :: A.Array Int ResultSource,
-                 -- ^ The results supplied by the vector items.
-                 resultVectorSubscript :: A.Array Int ResultName,
-                 -- ^ The subscript used as a suffix to create item names.
-                 resultVectorSignal :: ResultSignal,
-                 -- ^ A combined signal if present.
-                 resultVectorSummary :: ResultSource
-                 -- ^ A short version of the vector, i.e. summary.
-               }
-
--- | Calculate the result vector signal and memoize it in a new vector.
-memoResultVectorSignal :: ResultVector -> ResultVector
-memoResultVectorSignal x =
-  x { resultVectorSignal =
-         foldr (<>) mempty $ map resultSourceSignal $ A.elems $ resultVectorItems x }
-
--- | Calculate the result vector summary and memoize it in a new vector.
-memoResultVectorSummary :: ResultVector -> ResultVector
-memoResultVectorSummary x =
-  x { resultVectorSummary =
-         ResultVectorSource $
-         x { resultVectorItems =
-                A.array bnds [(i, resultSourceSummary e) | (i, e) <- ies] } }
-  where
-    arr  = resultVectorItems x
-    bnds = A.bounds arr
-    ies  = A.assocs arr
-
--- | It separates the simulation results when printing.
-data ResultSeparator =
-  ResultSeparator { resultSeparatorText :: String
-                    -- ^ The separator text.
-                  }
-
--- | A parameterised value that actually represents a generalised result item that have no parametric type.
-data ResultValue e =
-  ResultValue { resultValueName :: ResultName,
-                -- ^ The value name.
-                resultValueId :: ResultId,
-                -- ^ The value identifier.
-                resultValueData :: ResultData e,
-                -- ^ Simulation data supplied by the value.
-                resultValueSignal :: ResultSignal
-                -- ^ Whether the value emits a signal when changing simulation data.
-              }
-
-instance Functor ResultValue where
-  fmap f x = x { resultValueData = fmap (fmap f) (resultValueData x) }
-
--- | Return a new value with the discarded simulation results.
-voidResultValue :: ResultValue a -> ResultValue b
-voidResultValue x = x { resultValueData = Nothing }
-
--- | A container of the simulation results such as queue, server or array.
-data ResultContainer e =
-  ResultContainer { resultContainerName :: ResultName,
-                    -- ^ The container name.
-                    resultContainerId :: ResultId,
-                    -- ^ The container identifier.
-                    resultContainerData :: e,
-                    -- ^ The container data.
-                    resultContainerSignal :: ResultSignal
-                    -- ^ Whether the container emits a signal when changing simulation data.
-                  }
-
-instance Functor ResultContainer where
-  fmap f x = x { resultContainerData = f (resultContainerData x) }
-
--- | Create a new property source by the specified container.
-resultContainerPropertySource :: ResultItemable (ResultValue b)
-                                 => ResultContainer a
-                                 -- ^ the container
-                                 -> ResultName
-                                 -- ^ the property label
-                                 -> ResultId
-                                 -- ^ the property identifier
-                                 -> (a -> ResultData b)
-                                 -- ^ get the specified data from the container
-                                 -> (a -> ResultSignal)
-                                 -- ^ get the data signal from the container
-                                 -> ResultSource
-resultContainerPropertySource cont name i f g =
-  ResultItemSource $
-  ResultItem $
-  ResultValue {
-    resultValueName   = (resultContainerName cont) ++ "." ++ name,
-    resultValueId     = i,
-    resultValueData   = f (resultContainerData cont),
-    resultValueSignal = g (resultContainerData cont) }
-
--- | Create a constant property by the specified container.
-resultContainerConstProperty :: ResultItemable (ResultValue b)
-                                => ResultContainer a
-                                -- ^ the container
-                                -> ResultName
-                                -- ^ the property label
-                                -> ResultId
-                                -- ^ the property identifier
-                                -> (a -> b)
-                                -- ^ get the specified data from the container
-                                -> ResultProperty
-resultContainerConstProperty cont name i f =
-  ResultProperty {
-    resultPropertyLabel = name,
-    resultPropertyId = i,
-    resultPropertySource =
-      resultContainerPropertySource cont name i (Just . return . f) (const EmptyResultSignal) }
-  
--- | Create by the specified container a property that changes in the integration time points, or it is supposed to be such one.
-resultContainerIntegProperty :: ResultItemable (ResultValue b)
-                                => ResultContainer a
-                                -- ^ the container
-                                -> ResultName
-                                -- ^ the property label
-                                -> ResultId
-                                -- ^ the property identifier
-                                -> (a -> Event b)
-                                -- ^ get the specified data from the container
-                             -> ResultProperty
-resultContainerIntegProperty cont name i f =
-  ResultProperty {
-    resultPropertyLabel = name,
-    resultPropertyId = i,
-    resultPropertySource =
-      resultContainerPropertySource cont name i (Just . f) (const UnknownResultSignal) }
-  
--- | Create a property by the specified container.
-resultContainerProperty :: ResultItemable (ResultValue b)
-                           => ResultContainer a
-                           -- ^ the container
-                           -> ResultName
-                           -- ^ the property label
-                           -> ResultId
-                           -- ^ the property identifier
-                           -> (a -> Event b)
-                           -- ^ get the specified data from the container
-                           -> (a -> Signal ())
-                           -- ^ get a signal triggered when changing data.
-                           -> ResultProperty
-resultContainerProperty cont name i f g =                     
-  ResultProperty {
-    resultPropertyLabel = name,
-    resultPropertyId = i,
-    resultPropertySource =
-      resultContainerPropertySource cont name i (Just . f) (ResultSignal . g) }
-
--- | Create by the specified container a mapped property which is recomputed each time again and again.
-resultContainerMapProperty :: ResultItemable (ResultValue b)
-                              => ResultContainer (ResultData a)
-                              -- ^ the container
-                              -> ResultName
-                              -- ^ the property label
-                              -> ResultId
-                              -- ^ the property identifier
-                              -> (a -> b)
-                              -- ^ recompute the specified data
-                              -> ResultProperty
-resultContainerMapProperty cont name i f =                     
-  ResultProperty {
-    resultPropertyLabel = name,
-    resultPropertyId = i,
-    resultPropertySource =
-      resultContainerPropertySource cont name i (fmap $ fmap f) (const $ resultContainerSignal cont) }
-
--- | Convert the result value to a container with the specified object identifier. 
-resultValueToContainer :: ResultValue a -> ResultContainer (ResultData a)
-resultValueToContainer x =
-  ResultContainer {
-    resultContainerName   = resultValueName x,
-    resultContainerId     = resultValueId x,
-    resultContainerData   = resultValueData x,
-    resultContainerSignal = resultValueSignal x }
-
--- | Convert the result container to a value.
-resultContainerToValue :: ResultContainer (ResultData a) -> ResultValue a
-resultContainerToValue x =
-  ResultValue {
-    resultValueName   = resultContainerName x,
-    resultValueId     = resultContainerId x,
-    resultValueData   = resultContainerData x,
-    resultValueSignal = resultContainerSignal x }
-
--- | Represents the very simulation results.
-type ResultData e = Maybe (Event e)
-
--- | Whether an object containing the results emits a signal notifying about change of data.
-data ResultSignal = EmptyResultSignal
-                    -- ^ There is no signal at all.
-                  | UnknownResultSignal
-                    -- ^ The signal is unknown, but the entity probably changes.
-                  | ResultSignal (Signal ())
-                    -- ^ When the signal is precisely specified.
-                  | ResultSignalMix (Signal ())
-                    -- ^ When the specified signal was combined with unknown signal.
-
-instance Monoid ResultSignal where
-
-  mempty = EmptyResultSignal
-
-  mappend EmptyResultSignal z = z
-
-  mappend UnknownResultSignal EmptyResultSignal = UnknownResultSignal
-  mappend UnknownResultSignal UnknownResultSignal = UnknownResultSignal
-  mappend UnknownResultSignal (ResultSignal x) = ResultSignalMix x
-  mappend UnknownResultSignal z@(ResultSignalMix x) = z
-  
-  mappend z@(ResultSignal x) EmptyResultSignal = z
-  mappend (ResultSignal x) UnknownResultSignal = ResultSignalMix x
-  mappend (ResultSignal x) (ResultSignal y) = ResultSignal (x <> y)
-  mappend (ResultSignal x) (ResultSignalMix y) = ResultSignalMix (x <> y)
-  
-  mappend z@(ResultSignalMix x) EmptyResultSignal = z
-  mappend z@(ResultSignalMix x) UnknownResultSignal = z
-  mappend (ResultSignalMix x) (ResultSignal y) = ResultSignalMix (x <> y)
-  mappend (ResultSignalMix x) (ResultSignalMix y) = ResultSignalMix (x <> y)
-
--- | Construct a new result signal by the specified optional pure signal.
-maybeResultSignal :: Maybe (Signal ()) -> ResultSignal
-maybeResultSignal (Just x) = ResultSignal x
-maybeResultSignal Nothing  = EmptyResultSignal
-
-instance ResultItemable (ResultValue Int) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = id
-  resultItemToIntListValue = fmap return
-  resultItemToIntStatsValue = fmap returnSamplingStats
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = fmap fromIntegral
-  resultItemToDoubleListValue = fmap (return . fromIntegral)
-  resultItemToDoubleStatsValue = fmap (returnSamplingStats . fromIntegral)
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue Double) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-  
-  resultItemToDoubleValue = id
-  resultItemToDoubleListValue = fmap return
-  resultItemToDoubleStatsValue = fmap returnSamplingStats
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue [Int]) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = id
-  resultItemToIntStatsValue = fmap listSamplingStats
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = fmap (map fromIntegral)
-  resultItemToDoubleStatsValue = fmap (fromIntSamplingStats . listSamplingStats)
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue [Double]) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-  
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = id
-  resultItemToDoubleStatsValue = fmap listSamplingStats
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue (SamplingStats Int)) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = id
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = fmap fromIntSamplingStats
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = samplingStatsResultSource
-  resultItemSummary = samplingStatsResultSummary
-
-instance ResultItemable (ResultValue (SamplingStats Double)) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-  
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = id
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = samplingStatsResultSource
-  resultItemSummary = samplingStatsResultSummary
-
-instance ResultItemable (ResultValue (TimingStats Int)) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = id
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = fmap fromIntTimingStats
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = timingStatsResultSource
-  resultItemSummary = timingStatsResultSummary
-
-instance ResultItemable (ResultValue (TimingStats Double)) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = id
-
-  resultItemToStringValue = fmap show
-  
-  resultItemExpansion = timingStatsResultSource
-  resultItemSummary = timingStatsResultSummary
-
-instance ResultItemable (ResultValue Bool) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue String) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue ()) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue FCFS) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue LCFS) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue SIRO) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
-instance ResultItemable (ResultValue StaticPriorities) where
-
-  resultItemName = resultValueName
-  resultItemId = resultValueId
-  resultItemSignal = resultValueSignal
-  
-  resultItemToIntValue = voidResultValue
-  resultItemToIntListValue = voidResultValue
-  resultItemToIntStatsValue = voidResultValue
-  resultItemToIntTimingStatsValue = voidResultValue
-
-  resultItemToDoubleValue = voidResultValue
-  resultItemToDoubleListValue = voidResultValue
-  resultItemToDoubleStatsValue = voidResultValue
-  resultItemToDoubleTimingStatsValue = voidResultValue
-
-  resultItemToStringValue = fmap show
-
-  resultItemExpansion = ResultItemSource . ResultItem
-  resultItemSummary = ResultItemSource . ResultItem
-
--- | Flatten the result source.
-flattenResultSource :: ResultSource -> [ResultItem]
-flattenResultSource (ResultItemSource x) = [x]
-flattenResultSource (ResultObjectSource x) =
-  concat $ map (flattenResultSource . resultPropertySource) $ resultObjectProperties x
-flattenResultSource (ResultVectorSource x) =
-  concat $ map flattenResultSource $ A.elems $ resultVectorItems x
-flattenResultSource (ResultSeparatorSource x) = []
-
--- | Return the result source name.
-resultSourceName :: ResultSource -> ResultName
-resultSourceName (ResultItemSource (ResultItem x)) = resultItemName x
-resultSourceName (ResultObjectSource x) = resultObjectName x
-resultSourceName (ResultVectorSource x) = resultVectorName x
-resultSourceName (ResultSeparatorSource x) = []
-
--- | Expand the result source returning a more detailed version expanding the properties as possible.
-expandResultSource :: ResultSource -> ResultSource
-expandResultSource (ResultItemSource (ResultItem x)) = resultItemExpansion x
-expandResultSource (ResultObjectSource x) =
-  ResultObjectSource $
-  x { resultObjectProperties =
-         flip fmap (resultObjectProperties x) $ \p ->
-         p { resultPropertySource = expandResultSource (resultPropertySource p) } }
-expandResultSource (ResultVectorSource x) =
-  ResultVectorSource $
-  x { resultVectorItems =
-         A.array bnds [(i, expandResultSource e) | (i, e) <- ies] }
-    where arr  = resultVectorItems x
-          bnds = A.bounds arr
-          ies  = A.assocs arr
-expandResultSource z@(ResultSeparatorSource x) = z
-
--- | Return a summarised and usually more short version of the result source expanding the main properties or excluding auxiliary properties if required.
-resultSourceSummary :: ResultSource -> ResultSource
-resultSourceSummary (ResultItemSource (ResultItem x)) = resultItemSummary x
-resultSourceSummary (ResultObjectSource x) = resultObjectSummary x
-resultSourceSummary (ResultVectorSource x) = resultVectorSummary x
-resultSourceSummary z@(ResultSeparatorSource x) = z
-
--- | Return a signal emitted by the source.
-resultSourceSignal :: ResultSource -> ResultSignal
-resultSourceSignal (ResultItemSource (ResultItem x)) = resultItemSignal x
-resultSourceSignal (ResultObjectSource x) = resultObjectSignal x
-resultSourceSignal (ResultVectorSource x) = resultVectorSignal x
-resultSourceSignal (ResultSeparatorSource x) = EmptyResultSignal
-
--- | Represent the result source as integer numbers.
-resultSourceToIntValues :: ResultSource -> [ResultValue Int]
-resultSourceToIntValues = map (\(ResultItem x) -> resultItemToIntValue x) . flattenResultSource
-
--- | Represent the result source as lists of integer numbers.
-resultSourceToIntListValues :: ResultSource -> [ResultValue [Int]]
-resultSourceToIntListValues = map (\(ResultItem x) -> resultItemToIntListValue x) . flattenResultSource
-
--- | Represent the result source as statistics based on integer numbers.
-resultSourceToIntStatsValues :: ResultSource -> [ResultValue (SamplingStats Int)]
-resultSourceToIntStatsValues = map (\(ResultItem x) -> resultItemToIntStatsValue x) . flattenResultSource
-
--- | Represent the result source as statistics based on integer numbers and optimised for fast aggregation.
-resultSourceToIntStatsEitherValues :: ResultSource -> [ResultValue (Either Int (SamplingStats Int))]
-resultSourceToIntStatsEitherValues = map (\(ResultItem x) -> resultItemToIntStatsEitherValue x) . flattenResultSource
-
--- | Represent the result source as timing statistics based on integer numbers.
-resultSourceToIntTimingStatsValues :: ResultSource -> [ResultValue (TimingStats Int)]
-resultSourceToIntTimingStatsValues = map (\(ResultItem x) -> resultItemToIntTimingStatsValue x) . flattenResultSource
-
--- | Represent the result source as double floating point numbers.
-resultSourceToDoubleValues :: ResultSource -> [ResultValue Double]
-resultSourceToDoubleValues = map (\(ResultItem x) -> resultItemToDoubleValue x) . flattenResultSource
-
--- | Represent the result source as lists of double floating point numbers.
-resultSourceToDoubleListValues :: ResultSource -> [ResultValue [Double]]
-resultSourceToDoubleListValues = map (\(ResultItem x) -> resultItemToDoubleListValue x) . flattenResultSource
-
--- | Represent the result source as statistics based on double floating point numbers.
-resultSourceToDoubleStatsValues :: ResultSource -> [ResultValue (SamplingStats Double)]
-resultSourceToDoubleStatsValues = map (\(ResultItem x) -> resultItemToDoubleStatsValue x) . flattenResultSource
-
--- | Represent the result source as statistics based on double floating point numbers and optimised for fast aggregation.
-resultSourceToDoubleStatsEitherValues :: ResultSource -> [ResultValue (Either Double (SamplingStats Double))]
-resultSourceToDoubleStatsEitherValues = map (\(ResultItem x) -> resultItemToDoubleStatsEitherValue x) . flattenResultSource
-
--- | Represent the result source as timing statistics based on double floating point numbers.
-resultSourceToDoubleTimingStatsValues :: ResultSource -> [ResultValue (TimingStats Double)]
-resultSourceToDoubleTimingStatsValues = map (\(ResultItem x) -> resultItemToDoubleTimingStatsValue x) . flattenResultSource
-
--- | Represent the result source as string values.
-resultSourceToStringValues :: ResultSource -> [ResultValue String]
-resultSourceToStringValues = map (\(ResultItem x) -> resultItemToStringValue x) . flattenResultSource
-
--- | It contains the results of simulation.
-data Results =
-  Results { resultSourceMap :: ResultSourceMap,
-            -- ^ The sources of simulation results as a map of associated names.
-            resultSourceList :: [ResultSource]
-            -- ^ The sources of simulation results as an ordered list.
-          }
-
--- | It transforms the results of simulation.
-type ResultTransform = Results -> Results
-
--- | It representes the predefined signals provided by every simulation model.
-data ResultPredefinedSignals =
-  ResultPredefinedSignals { resultSignalInIntegTimes :: Signal Double,
-                            -- ^ The signal triggered in the integration time points.
-                            resultSignalInStartTime :: Signal Double,
-                            -- ^ The signal triggered in the start time.
-                            resultSignalInStopTime :: Signal Double
-                            -- ^ The signal triggered in the stop time.
-                          }
-
--- | Create the predefined signals provided by every simulation model.
-newResultPredefinedSignals :: Simulation ResultPredefinedSignals
-newResultPredefinedSignals = runDynamicsInStartTime $ runEventWith EarlierEvents d where
-  d = do signalInIntegTimes <- newSignalInIntegTimes
-         signalInStartTime  <- newSignalInStartTime
-         signalInStopTime   <- newSignalInStopTime
-         return ResultPredefinedSignals { resultSignalInIntegTimes = signalInIntegTimes,
-                                          resultSignalInStartTime  = signalInStartTime,
-                                          resultSignalInStopTime   = signalInStopTime }
-
-instance Monoid Results where
-
-  mempty      = results mempty
-  mappend x y = results $ resultSourceList x <> resultSourceList y
-
--- | Prepare the simulation results.
-results :: [ResultSource] -> Results
-results ms =
-  Results { resultSourceMap  = M.fromList $ map (\x -> (resultSourceName x, x)) ms,
-            resultSourceList = ms }
-
--- | Represent the results as integer numbers.
-resultsToIntValues :: Results -> [ResultValue Int]
-resultsToIntValues = concat . map resultSourceToIntValues . resultSourceList
-
--- | Represent the results as lists of integer numbers.
-resultsToIntListValues :: Results -> [ResultValue [Int]]
-resultsToIntListValues = concat . map resultSourceToIntListValues . resultSourceList
-
--- | Represent the results as statistics based on integer numbers.
-resultsToIntStatsValues :: Results -> [ResultValue (SamplingStats Int)]
-resultsToIntStatsValues = concat . map resultSourceToIntStatsValues . resultSourceList
-
--- | Represent the results as statistics based on integer numbers and optimised for fast aggregation.
-resultsToIntStatsEitherValues :: Results -> [ResultValue (Either Int (SamplingStats Int))]
-resultsToIntStatsEitherValues = concat . map resultSourceToIntStatsEitherValues . resultSourceList
-
--- | Represent the results as timing statistics based on integer numbers.
-resultsToIntTimingStatsValues :: Results -> [ResultValue (TimingStats Int)]
-resultsToIntTimingStatsValues = concat . map resultSourceToIntTimingStatsValues . resultSourceList
-
--- | Represent the results as double floating point numbers.
-resultsToDoubleValues :: Results -> [ResultValue Double]
-resultsToDoubleValues = concat . map resultSourceToDoubleValues . resultSourceList
-
--- | Represent the results as lists of double floating point numbers.
-resultsToDoubleListValues :: Results -> [ResultValue [Double]]
-resultsToDoubleListValues = concat . map resultSourceToDoubleListValues . resultSourceList
-
--- | Represent the results as statistics based on double floating point numbers.
-resultsToDoubleStatsValues :: Results -> [ResultValue (SamplingStats Double)]
-resultsToDoubleStatsValues = concat . map resultSourceToDoubleStatsValues . resultSourceList
-
--- | Represent the results as statistics based on double floating point numbers and optimised for fast aggregation.
-resultsToDoubleStatsEitherValues :: Results -> [ResultValue (Either Double (SamplingStats Double))]
-resultsToDoubleStatsEitherValues = concat . map resultSourceToDoubleStatsEitherValues . resultSourceList
-
--- | Represent the results as timing statistics based on double floating point numbers.
-resultsToDoubleTimingStatsValues :: Results -> [ResultValue (TimingStats Double)]
-resultsToDoubleTimingStatsValues = concat . map resultSourceToDoubleTimingStatsValues . resultSourceList
-
--- | Represent the results as string values.
-resultsToStringValues :: Results -> [ResultValue String]
-resultsToStringValues = concat . map resultSourceToStringValues . resultSourceList
-
--- | Return a signal emitted by the specified results.
-resultSignal :: Results -> ResultSignal
-resultSignal = mconcat . map resultSourceSignal . resultSourceList
-
--- | Return an expanded version of the simulation results expanding the properties as possible, which
--- takes place for expanding statistics to show the count, average, deviation, minimum, maximum etc.
--- as separate values.
-expandResults :: ResultTransform
-expandResults = results . map expandResultSource . resultSourceList
-
--- | Return a short version of the simulation results, i.e. their summary, expanding the main properties
--- or excluding auxiliary properties if required.
-resultSummary :: ResultTransform
-resultSummary = results . map resultSourceSummary . resultSourceList
-
--- | Take a result by its name.
-resultByName :: ResultName -> ResultTransform
-resultByName name rs =
-  case M.lookup name (resultSourceMap rs) of
-    Just x -> results [x]
-    Nothing ->
-      error $
-      "Not found result source with name " ++ name ++
-      ": resultByName"
-
--- | Take a result from the object with the specified property label.
-resultByProperty :: ResultName -> ResultTransform
-resultByProperty label rs = flip composeResults rs loop
-  where
-    loop x =
-      case x of
-        ResultObjectSource s ->
-          let ps =
-                flip filter (resultObjectProperties s) $ \p ->
-                resultPropertyLabel p == label
-          in case ps of
-            [] ->
-              error $
-              "Not found property " ++ label ++
-              " for object " ++ resultObjectName s ++
-              ": resultByProperty"
-            ps ->
-              map resultPropertySource ps
-        ResultVectorSource s ->
-          concat $ map loop $ A.elems $ resultVectorItems s
-        x ->
-          error $
-          "Result source " ++ resultSourceName x ++
-          " is neither object, nor vector " ++
-          ": resultByProperty"
-
--- | Take a result from the vector by the specified integer index.
-resultByIndex :: Int -> ResultTransform
-resultByIndex index rs = flip composeResults rs loop
-  where
-    loop x =
-      case x of
-        ResultVectorSource s ->
-          [resultVectorItems s A.! index] 
-        x ->
-          error $
-          "Result source " ++ resultSourceName x ++
-          " is not vector " ++
-          ": resultByIndex"
-
--- | Take a result from the vector by the specified string subscript.
-resultBySubscript :: ResultName -> ResultTransform
-resultBySubscript subscript rs = flip composeResults rs loop
-  where
-    loop x =
-      case x of
-        ResultVectorSource s ->
-          let ys = A.elems $ resultVectorItems s
-              zs = A.elems $ resultVectorSubscript s
-              ps =
-                flip filter (zip ys zs) $ \(y, z) ->
-                z == subscript
-          in case ps of
-            [] ->
-              error $
-              "Not found subscript " ++ subscript ++
-              " for vector " ++ resultVectorName s ++
-              ": resultBySubscript"
-            ps ->
-              map fst ps
-        x ->
-          error $
-          "Result source " ++ resultSourceName x ++
-          " is not vector " ++
-          ": resultBySubscript"
-
--- | Compose the results using the specified transformation function.
-composeResults :: (ResultSource -> [ResultSource]) -> ResultTransform
-composeResults f =
-  results . concat . map f . resultSourceList
-
--- | Concatenate the results using the specified list of transformation functions.
-concatResults :: [ResultTransform] -> ResultTransform
-concatResults trs rs =
-  results $ concat $ map (\tr -> resultSourceList $ tr rs) trs
-
--- | Append the results using the specified transformation functions.
-appendResults :: ResultTransform -> ResultTransform -> ResultTransform
-appendResults x y =
-  concatResults [x, y]
-
--- | Return a pure signal as a result of combination of the predefined signals
--- with the specified result signal usually provided by the sources.
---
--- The signal returned is triggered when the source signal is triggered.
--- The pure signal is also triggered in the integration time points
--- if the source signal is unknown or it was combined with any unknown signal.
-pureResultSignal :: ResultPredefinedSignals -> ResultSignal -> Signal ()
-pureResultSignal rs EmptyResultSignal =
-  void (resultSignalInStartTime rs)
-pureResultSignal rs UnknownResultSignal =
-  void (resultSignalInIntegTimes rs)
-pureResultSignal rs (ResultSignal s) =
-  void (resultSignalInStartTime rs) <> void (resultSignalInStopTime rs) <> s
-pureResultSignal rs (ResultSignalMix s) =
-  void (resultSignalInIntegTimes rs) <> s
-
--- | Defines a final result extract: its name, values and other data.
-data ResultExtract e =
-  ResultExtract { resultExtractName   :: ResultName,
-                  -- ^ The result name.
-                  resultExtractId     :: ResultId,
-                  -- ^ The result identifier.
-                  resultExtractData   :: Event e,
-                  -- ^ The result values.
-                  resultExtractSignal :: ResultSignal
-                  -- ^ Whether the result emits a signal.
-                }
-
--- | Extract the results as integer values, or raise a conversion error.
-extractIntResults :: Results -> [ResultExtract Int]
-extractIntResults rs = flip map (resultsToIntValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of integer values: extractIntResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as lists of integer values, or raise a conversion error.
-extractIntListResults :: Results -> [ResultExtract [Int]]
-extractIntListResults rs = flip map (resultsToIntListValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of lists of integer values: extractIntListResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as statistics based on integer values,
--- or raise a conversion error.
-extractIntStatsResults :: Results -> [ResultExtract (SamplingStats Int)]
-extractIntStatsResults rs = flip map (resultsToIntStatsValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of statistics based on integer values: extractIntStatsResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as statistics based on integer values and optimised
--- for fast aggregation, or raise a conversion error.
-extractIntStatsEitherResults :: Results -> [ResultExtract (Either Int (SamplingStats Int))]
-extractIntStatsEitherResults rs = flip map (resultsToIntStatsEitherValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of statistics based on integer values: extractIntStatsEitherResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as timing statistics based on integer values,
--- or raise a conversion error.
-extractIntTimingStatsResults :: Results -> [ResultExtract (TimingStats Int)]
-extractIntTimingStatsResults rs = flip map (resultsToIntTimingStatsValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of timing statistics based on integer values: extractIntTimingStatsResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as double floating point values, or raise a conversion error.
-extractDoubleResults :: Results -> [ResultExtract Double]
-extractDoubleResults rs = flip map (resultsToDoubleValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of double floating point values: extractDoubleResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as lists of double floating point values,
--- or raise a conversion error.
-extractDoubleListResults :: Results -> [ResultExtract [Double]]
-extractDoubleListResults rs = flip map (resultsToDoubleListValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of lists of double floating point values: extractDoubleListResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as statistics based on double floating point values,
--- or raise a conversion error.
-extractDoubleStatsResults :: Results -> [ResultExtract (SamplingStats Double)]
-extractDoubleStatsResults rs = flip map (resultsToDoubleStatsValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of statistics based on double floating point values: extractDoubleStatsResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as statistics based on double floating point values
--- and optimised for fast aggregation, or raise a conversion error.
-extractDoubleStatsEitherResults :: Results -> [ResultExtract (Either Double (SamplingStats Double))]
-extractDoubleStatsEitherResults rs = flip map (resultsToDoubleStatsEitherValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of statistics based on double floating point values: extractDoubleStatsEitherResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as timing statistics based on double floating point values,
--- or raise a conversion error.
-extractDoubleTimingStatsResults :: Results -> [ResultExtract (TimingStats Double)]
-extractDoubleTimingStatsResults rs = flip map (resultsToDoubleTimingStatsValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of timing statistics based on double floating point values: extractDoubleTimingStatsResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Extract the results as string values, or raise a conversion error.
-extractStringResults :: Results -> [ResultExtract String]
-extractStringResults rs = flip map (resultsToStringValues rs) $ \x ->
-  let n = resultValueName x
-      i = resultValueId x
-      a = resultValueData x
-      s = resultValueSignal x
-  in case a of
-    Nothing ->
-      error $
-      "Cannot represent variable " ++ n ++
-      " as a source of string values: extractStringResults"
-    Just a ->
-      ResultExtract n i a s
-
--- | Represents a computation that can return the simulation data.
-class ResultComputing m where
-
-  -- | Compute data with the results of simulation.
-  computeResultData :: m a -> ResultData a
-
-  -- | Return the signal triggered when data change if such a signal exists.
-  computeResultSignal :: m a -> ResultSignal
-
--- | Return a new result value by the specified name, identifier and computation.
-computeResultValue :: ResultComputing m
-                      => ResultName
-                      -- ^ the result name
-                      -> ResultId
-                      -- ^ the result identifier
-                      -> m a
-                      -- ^ the result computation
-                      -> ResultValue a
-computeResultValue name i m =
-  ResultValue {
-    resultValueName   = name,
-    resultValueId     = i,
-    resultValueData   = computeResultData m,
-    resultValueSignal = computeResultSignal m }
-
--- | Represents a computation that can return the simulation data.
-data ResultComputation a =
-  ResultComputation { resultComputationData :: ResultData a,
-                      -- ^ Return data from the computation.
-                      resultComputationSignal :: ResultSignal
-                      -- ^ Return a signal from the computation.
-                    }
-
-instance ResultComputing ResultComputation where
-
-  computeResultData = resultComputationData
-  computeResultSignal = resultComputationSignal
-
-instance ResultComputing Parameter where
-
-  computeResultData = Just . liftParameter
-  computeResultSignal = const UnknownResultSignal
-
-instance ResultComputing Simulation where
-
-  computeResultData = Just . liftSimulation
-  computeResultSignal = const UnknownResultSignal
-
-instance ResultComputing Dynamics where
-
-  computeResultData = Just . liftDynamics
-  computeResultSignal = const UnknownResultSignal
-
-instance ResultComputing Event where
-
-  computeResultData = Just . id
-  computeResultSignal = const UnknownResultSignal
-
-instance ResultComputing Ref where
-
-  computeResultData = Just . readRef
-  computeResultSignal = ResultSignal . refChanged_
-
-instance ResultComputing LR.Ref where
-
-  computeResultData = Just . LR.readRef
-  computeResultSignal = const UnknownResultSignal
-
-instance ResultComputing Var where
-
-  computeResultData = Just . readVar
-  computeResultSignal = ResultSignal . varChanged_
-
-instance ResultComputing Signalable where
-
-  computeResultData = Just . readSignalable
-  computeResultSignal = ResultSignal . signalableChanged_
-      
--- | Return a source by the specified statistics.
-samplingStatsResultSource :: (ResultItemable (ResultValue a),
-                              ResultItemable (ResultValue (SamplingStats a)))
-                             => ResultValue (SamplingStats a)
-                             -- ^ the statistics
-                             -> ResultSource
-samplingStatsResultSource x =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName      = resultValueName x,
-    resultObjectId        = resultValueId x,
-    resultObjectTypeId    = SamplingStatsId,
-    resultObjectSignal    = resultValueSignal x,
-    resultObjectSummary   = samplingStatsResultSummary x,
-    resultObjectProperties = [
-      resultContainerMapProperty c "count" SamplingStatsCountId samplingStatsCount,
-      resultContainerMapProperty c "mean" SamplingStatsMeanId samplingStatsMean,
-      resultContainerMapProperty c "mean2" SamplingStatsMean2Id samplingStatsMean2,
-      resultContainerMapProperty c "std" SamplingStatsDeviationId samplingStatsDeviation,
-      resultContainerMapProperty c "var" SamplingStatsVarianceId samplingStatsVariance,
-      resultContainerMapProperty c "min" SamplingStatsMinId samplingStatsMin,
-      resultContainerMapProperty c "max" SamplingStatsMaxId samplingStatsMax ] }
-  where
-    c = resultValueToContainer x
-
--- | Return the summary by the specified statistics.
-samplingStatsResultSummary :: ResultItemable (ResultValue (SamplingStats a))
-                              => ResultValue (SamplingStats a)
-                              -- ^ the statistics
-                           -> ResultSource
-samplingStatsResultSummary = ResultItemSource . ResultItem . resultItemToStringValue 
-  
--- | Return a source by the specified timing statistics.
-timingStatsResultSource :: (TimingData a,
-                            ResultItemable (ResultValue a),
-                            ResultItemable (ResultValue (TimingStats a)))
-                           => ResultValue (TimingStats a)
-                           -- ^ the statistics
-                           -> ResultSource
-timingStatsResultSource x =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName      = resultValueName x,
-    resultObjectId        = resultValueId x,
-    resultObjectTypeId    = TimingStatsId,
-    resultObjectSignal    = resultValueSignal x,
-    resultObjectSummary   = timingStatsResultSummary x,
-    resultObjectProperties = [
-      resultContainerMapProperty c "count" TimingStatsCountId timingStatsCount,
-      resultContainerMapProperty c "mean" TimingStatsMeanId timingStatsMean,
-      resultContainerMapProperty c "std" TimingStatsDeviationId timingStatsDeviation,
-      resultContainerMapProperty c "var" TimingStatsVarianceId timingStatsVariance,
-      resultContainerMapProperty c "min" TimingStatsMinId timingStatsMin,
-      resultContainerMapProperty c "max" TimingStatsMaxId timingStatsMax,
-      resultContainerMapProperty c "minTime" TimingStatsMinTimeId timingStatsMinTime,
-      resultContainerMapProperty c "maxTime" TimingStatsMaxTimeId timingStatsMaxTime,
-      resultContainerMapProperty c "startTime" TimingStatsStartTimeId timingStatsStartTime,
-      resultContainerMapProperty c "lastTime" TimingStatsLastTimeId timingStatsLastTime,
-      resultContainerMapProperty c "sum" TimingStatsSumId timingStatsSum,
-      resultContainerMapProperty c "sum2" TimingStatsSum2Id timingStatsSum2 ] }
-  where
-    c = resultValueToContainer x
-
--- | Return the summary by the specified timing statistics.
-timingStatsResultSummary :: (TimingData a, ResultItemable (ResultValue (TimingStats a)))
-                            => ResultValue (TimingStats a) 
-                            -- ^ the statistics
-                            -> ResultSource
-timingStatsResultSummary = ResultItemSource . ResultItem . resultItemToStringValue
-  
--- | Return a source by the specified finite queue.
-queueResultSource :: (Show si, Show sm, Show so,
-                      ResultItemable (ResultValue si),
-                      ResultItemable (ResultValue sm),
-                      ResultItemable (ResultValue so))
-                     => ResultContainer (Q.Queue si qi sm qm so qo a)
-                     -- ^ the queue container
-                     -> ResultSource
-queueResultSource c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = FiniteQueueId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = queueResultSummary c,
-    resultObjectProperties = [
-      resultContainerConstProperty c "enqueueStrategy" EnqueueStrategyId Q.enqueueStrategy,
-      resultContainerConstProperty c "enqueueStoringStrategy" EnqueueStoringStrategyId Q.enqueueStoringStrategy,
-      resultContainerConstProperty c "dequeueStrategy" DequeueStrategyId Q.dequeueStrategy,
-      resultContainerProperty c "queueNull" QueueNullId Q.queueNull Q.queueNullChanged_,
-      resultContainerProperty c "queueFull" QueueFullId Q.queueFull Q.queueFullChanged_,
-      resultContainerConstProperty c "queueMaxCount" QueueMaxCountId Q.queueMaxCount,
-      resultContainerProperty c "queueCount" QueueCountId Q.queueCount Q.queueCountChanged_,
-      resultContainerProperty c "queueCountStats" QueueCountStatsId Q.queueCountStats Q.queueCountChanged_,
-      resultContainerProperty c "enqueueCount" EnqueueCountId Q.enqueueCount Q.enqueueCountChanged_,
-      resultContainerProperty c "enqueueLostCount" EnqueueLostCountId Q.enqueueLostCount Q.enqueueLostCountChanged_,
-      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId Q.enqueueStoreCount Q.enqueueStoreCountChanged_,
-      resultContainerProperty c "dequeueCount" DequeueCountId Q.dequeueCount Q.dequeueCountChanged_,
-      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId Q.dequeueExtractCount Q.dequeueExtractCountChanged_,
-      resultContainerProperty c "queueLoadFactor" QueueLoadFactorId Q.queueLoadFactor Q.queueLoadFactorChanged_,
-      resultContainerIntegProperty c "enqueueRate" EnqueueRateId Q.enqueueRate,
-      resultContainerIntegProperty c "enqueueStoreRate" EnqueueStoreRateId Q.enqueueStoreRate,
-      resultContainerIntegProperty c "dequeueRate" DequeueRateId Q.dequeueRate,
-      resultContainerIntegProperty c "dequeueExtractRate" DequeueExtractRateId Q.dequeueExtractRate,
-      resultContainerProperty c "queueWaitTime" QueueWaitTimeId Q.queueWaitTime Q.queueWaitTimeChanged_,
-      resultContainerProperty c "queueTotalWaitTime" QueueTotalWaitTimeId Q.queueTotalWaitTime Q.queueTotalWaitTimeChanged_,
-      resultContainerProperty c "enqueueWaitTime" EnqueueWaitTimeId Q.enqueueWaitTime Q.enqueueWaitTimeChanged_,
-      resultContainerProperty c "dequeueWaitTime" DequeueWaitTimeId Q.dequeueWaitTime Q.dequeueWaitTimeChanged_,
-      resultContainerProperty c "queueRate" QueueRateId Q.queueRate Q.queueRateChanged_ ] }
-
--- | Return the summary by the specified finite queue.
-queueResultSummary :: (Show si, Show sm, Show so)
-                      => ResultContainer (Q.Queue si qi sm qm so qo a)
-                      -- ^ the queue container
-                      -> ResultSource
-queueResultSummary c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = FiniteQueueId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = queueResultSummary c,
-    resultObjectProperties = [
-      resultContainerConstProperty c "queueMaxCount" QueueMaxCountId Q.queueMaxCount,
-      resultContainerProperty c "queueCountStats" QueueCountStatsId Q.queueCountStats Q.queueCountChanged_,
-      resultContainerProperty c "enqueueCount" EnqueueCountId Q.enqueueCount Q.enqueueCountChanged_,
-      resultContainerProperty c "enqueueLostCount" EnqueueLostCountId Q.enqueueLostCount Q.enqueueLostCountChanged_,
-      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId Q.enqueueStoreCount Q.enqueueStoreCountChanged_,
-      resultContainerProperty c "dequeueCount" DequeueCountId Q.dequeueCount Q.dequeueCountChanged_,
-      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId Q.dequeueExtractCount Q.dequeueExtractCountChanged_,
-      resultContainerProperty c "queueLoadFactor" QueueLoadFactorId Q.queueLoadFactor Q.queueLoadFactorChanged_,
-      resultContainerProperty c "queueWaitTime" QueueWaitTimeId Q.queueWaitTime Q.queueWaitTimeChanged_,
-      resultContainerProperty c "queueRate" QueueRateId Q.queueRate Q.queueRateChanged_ ] }
-
--- | Return a source by the specified infinite queue.
-infiniteQueueResultSource :: (Show sm, Show so,
-                              ResultItemable (ResultValue sm),
-                              ResultItemable (ResultValue so))
-                             => ResultContainer (IQ.Queue sm qm so qo a)
-                             -- ^ the queue container
-                             -> ResultSource
-infiniteQueueResultSource c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = FiniteQueueId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = infiniteQueueResultSummary c,
-    resultObjectProperties = [
-      resultContainerConstProperty c "enqueueStoringStrategy" EnqueueStoringStrategyId IQ.enqueueStoringStrategy,
-      resultContainerConstProperty c "dequeueStrategy" DequeueStrategyId IQ.dequeueStrategy,
-      resultContainerProperty c "queueNull" QueueNullId IQ.queueNull IQ.queueNullChanged_,
-      resultContainerProperty c "queueCount" QueueCountId IQ.queueCount IQ.queueCountChanged_,
-      resultContainerProperty c "queueCountStats" QueueCountStatsId IQ.queueCountStats IQ.queueCountChanged_,
-      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId IQ.enqueueStoreCount IQ.enqueueStoreCountChanged_,
-      resultContainerProperty c "dequeueCount" DequeueCountId IQ.dequeueCount IQ.dequeueCountChanged_,
-      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId IQ.dequeueExtractCount IQ.dequeueExtractCountChanged_,
-      resultContainerIntegProperty c "enqueueStoreRate" EnqueueStoreRateId IQ.enqueueStoreRate,
-      resultContainerIntegProperty c "dequeueRate" DequeueRateId IQ.dequeueRate,
-      resultContainerIntegProperty c "dequeueExtractRate" DequeueExtractRateId IQ.dequeueExtractRate,
-      resultContainerProperty c "queueWaitTime" QueueWaitTimeId IQ.queueWaitTime IQ.queueWaitTimeChanged_,
-      resultContainerProperty c "dequeueWaitTime" DequeueWaitTimeId IQ.dequeueWaitTime IQ.dequeueWaitTimeChanged_,
-      resultContainerProperty c "queueRate" QueueRateId IQ.queueRate IQ.queueRateChanged_ ] }
-
--- | Return the summary by the specified infinite queue.
-infiniteQueueResultSummary :: (Show sm, Show so)
-                              => ResultContainer (IQ.Queue sm qm so qo a)
-                              -- ^ the queue container
-                              -> ResultSource
-infiniteQueueResultSummary c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = FiniteQueueId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = infiniteQueueResultSummary c,
-    resultObjectProperties = [
-      resultContainerProperty c "queueCountStats" QueueCountStatsId IQ.queueCountStats IQ.queueCountChanged_,
-      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId IQ.enqueueStoreCount IQ.enqueueStoreCountChanged_,
-      resultContainerProperty c "dequeueCount" DequeueCountId IQ.dequeueCount IQ.dequeueCountChanged_,
-      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId IQ.dequeueExtractCount IQ.dequeueExtractCountChanged_,
-      resultContainerProperty c "queueWaitTime" QueueWaitTimeId IQ.queueWaitTime IQ.queueWaitTimeChanged_,
-      resultContainerProperty c "queueRate" QueueRateId IQ.queueRate IQ.queueRateChanged_ ] }
-  
--- | Return a source by the specified arrival timer.
-arrivalTimerResultSource :: ResultContainer ArrivalTimer
-                            -- ^ the arrival timer container
-                            -> ResultSource
-arrivalTimerResultSource c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = ArrivalTimerId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = arrivalTimerResultSummary c,
-    resultObjectProperties = [
-      resultContainerProperty c "processingTime" ArrivalProcessingTimeId arrivalProcessingTime arrivalProcessingTimeChanged_ ] }
-
--- | Return the summary by the specified arrival timer.
-arrivalTimerResultSummary :: ResultContainer ArrivalTimer
-                             -- ^ the arrival timer container
-                             -> ResultSource
-arrivalTimerResultSummary c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = ArrivalTimerId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = arrivalTimerResultSummary c,
-    resultObjectProperties = [
-      resultContainerProperty c "processingTime" ArrivalProcessingTimeId arrivalProcessingTime arrivalProcessingTimeChanged_ ] }
-
--- | Return a source by the specified server.
-serverResultSource :: (Show s, ResultItemable (ResultValue s))
-                      => ResultContainer (Server s a b)
-                      -- ^ the server container
-                      -> ResultSource
-serverResultSource c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = ServerId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = serverResultSummary c,
-    resultObjectProperties = [
-      resultContainerConstProperty c "initState" ServerInitStateId serverInitState,
-      resultContainerProperty c "state" ServerStateId serverState serverStateChanged_,
-      resultContainerProperty c "totalInputWaitTime" ServerTotalInputWaitTimeId serverTotalInputWaitTime serverTotalInputWaitTimeChanged_,
-      resultContainerProperty c "totalProcessingTime" ServerTotalProcessingTimeId serverTotalProcessingTime serverTotalProcessingTimeChanged_,
-      resultContainerProperty c "totalOutputWaitTime" ServerTotalOutputWaitTimeId serverTotalOutputWaitTime serverTotalOutputWaitTimeChanged_,
-      resultContainerProperty c "inputWaitTime" ServerInputWaitTimeId serverInputWaitTime serverInputWaitTimeChanged_,
-      resultContainerProperty c "processingTime" ServerProcessingTimeId serverProcessingTime serverProcessingTimeChanged_,
-      resultContainerProperty c "outputWaitTime" ServerOutputWaitTimeId serverOutputWaitTime serverOutputWaitTimeChanged_,
-      resultContainerProperty c "inputWaitFactor" ServerInputWaitFactorId serverInputWaitFactor serverInputWaitFactorChanged_,
-      resultContainerProperty c "processingFactor" ServerProcessingFactorId serverProcessingFactor serverProcessingFactorChanged_,
-      resultContainerProperty c "outputWaitFactor" ServerOutputWaitFactorId serverOutputWaitFactor serverOutputWaitFactorChanged_ ] }
-
--- | Return the summary by the specified server.
-serverResultSummary :: ResultContainer (Server s a b)
-                       -- ^ the server container
-                       -> ResultSource
-serverResultSummary c =
-  ResultObjectSource $
-  ResultObject {
-    resultObjectName = resultContainerName c,
-    resultObjectId = resultContainerId c,
-    resultObjectTypeId = ServerId,
-    resultObjectSignal = resultContainerSignal c,
-    resultObjectSummary = serverResultSummary c,
-    resultObjectProperties = [
-      resultContainerProperty c "inputWaitTime" ServerInputWaitTimeId serverInputWaitTime serverInputWaitTimeChanged_,
-      resultContainerProperty c "processingTime" ServerProcessingTimeId serverProcessingTime serverProcessingTimeChanged_,
-      resultContainerProperty c "outputWaitTime" ServerOutputWaitTimeId serverOutputWaitTime serverOutputWaitTimeChanged_,
-      resultContainerProperty c "inputWaitFactor" ServerInputWaitFactorId serverInputWaitFactor serverInputWaitFactorChanged_,
-      resultContainerProperty c "processingFactor" ServerProcessingFactorId serverProcessingFactor serverProcessingFactorChanged_,
-      resultContainerProperty c "outputWaitFactor" ServerOutputWaitFactorId serverOutputWaitFactor serverOutputWaitFactorChanged_ ] }
-
--- | Return an arbitrary text as a separator source.
-textResultSource :: String -> ResultSource
-textResultSource text =
-  ResultSeparatorSource $
-  ResultSeparator { resultSeparatorText = text }
-
--- | Return the source of the modeling time.
-timeResultSource :: ResultSource
-timeResultSource = resultSource' "t" TimeId time
-                         
--- | Make an integer subscript
-intSubscript :: Int -> ResultName
-intSubscript i = "[" ++ show i ++ "]"
-
-instance ResultComputing m => ResultProvider (m Double) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m [Double]) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m (SamplingStats Double)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m (TimingStats Double)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m Int) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m [Int]) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m (SamplingStats Int)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m (TimingStats Int)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m String) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ computeResultValue name i m
-
-instance ResultProvider p => ResultProvider [p] where
-
-  resultSource' name i m =
-    resultSource' name i $ ResultListWithSubscript m subscript where
-      subscript = map snd $ zip m $ map intSubscript [0..]
-
-instance (Show i, Ix i, ResultProvider p) => ResultProvider (A.Array i p) where
-
-  resultSource' name i m =
-    resultSource' name i $ ResultListWithSubscript items subscript where
-      items = A.elems m
-      subscript = map (\i -> "[" ++ show i ++ "]") (A.indices m)
-
-#ifndef __HASTE__
-
-instance ResultProvider p => ResultProvider (V.Vector p) where
-  
-  resultSource' name i m =
-    resultSource' name i $ ResultVectorWithSubscript m subscript where
-      subscript = V.imap (\i x -> intSubscript i) m
-
-#endif
-
--- | Represents a list with the specified subscript.
-data ResultListWithSubscript p =
-  ResultListWithSubscript [p] [String]
-
--- | Represents an array with the specified subscript.
-data ResultArrayWithSubscript i p =
-  ResultArrayWithSubscript (A.Array i p) (A.Array i String)
-
-#ifndef __HASTE__
-
--- | Represents a vector with the specified subscript.
-data ResultVectorWithSubscript p =
-  ResultVectorWithSubscript (V.Vector p) (V.Vector String)
-
-#endif
-
-instance ResultProvider p => ResultProvider (ResultListWithSubscript p) where
-
-  resultSource' name i (ResultListWithSubscript xs ys) =
-    ResultVectorSource $
-    memoResultVectorSignal $
-    memoResultVectorSummary $
-    ResultVector { resultVectorName = name,
-                   resultVectorId = i,
-                   resultVectorItems = axs,
-                   resultVectorSubscript = ays,
-                   resultVectorSignal = undefined,
-                   resultVectorSummary = undefined }
-    where
-      bnds   = (0, length xs - 1)
-      axs    = A.listArray bnds items
-      ays    = A.listArray bnds ys
-      items  =
-        flip map (zip ys xs) $ \(y, x) ->
-        let name' = name ++ y
-        in resultSource' name' (VectorItemId y) x
-      items' = map resultSourceSummary items
-    
-instance (Show i, Ix i, ResultProvider p) => ResultProvider (ResultArrayWithSubscript i p) where
-
-  resultSource' name i (ResultArrayWithSubscript xs ys) =
-    resultSource' name i $ ResultListWithSubscript items subscript where
-      items = A.elems xs
-      subscript = A.elems ys
-      
-#ifndef __HASTE__
-
-instance ResultProvider p => ResultProvider (ResultVectorWithSubscript p) where
-
-  resultSource' name i (ResultVectorWithSubscript xs ys) =
-    ResultVectorSource $
-    memoResultVectorSignal $
-    memoResultVectorSummary $
-    ResultVector { resultVectorName = name,
-                   resultVectorId = i,
-                   resultVectorItems = axs,
-                   resultVectorSubscript = ays,
-                   resultVectorSignal = undefined,
-                   resultVectorSummary = undefined }
-    where
-      bnds   = (0, V.length xs - 1)
-      axs    = A.listArray bnds (V.toList items)
-      ays    = A.listArray bnds (V.toList ys)
-      items =
-        V.generate (V.length xs) $ \i ->
-        let x = xs V.! i
-            y = ys V.! i
-            name' = name ++ y
-        in resultSource' name' (VectorItemId y) x
-      items' = V.map resultSourceSummary items
-
-#endif
-
-instance (Ix i, Show i, ResultComputing m) => ResultProvider (m (A.Array i Double)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ fmap A.elems $ computeResultValue name i m
-
-instance (Ix i, Show i, ResultComputing m) => ResultProvider (m (A.Array i Int)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ fmap A.elems $ computeResultValue name i m
-
-#ifndef __HASTE__
-
-instance ResultComputing m => ResultProvider (m (V.Vector Double)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ fmap V.toList $ computeResultValue name i m
-
-instance ResultComputing m => ResultProvider (m (V.Vector Int)) where
-
-  resultSource' name i m =
-    ResultItemSource $ ResultItem $ fmap V.toList $ computeResultValue name i m
-
-#endif
-
-instance (Show si, Show sm, Show so,
-          ResultItemable (ResultValue si),
-          ResultItemable (ResultValue sm),
-          ResultItemable (ResultValue so))
-         => ResultProvider (Q.Queue si qi sm qm so qo a) where
-
-  resultSource' name i m =
-    queueResultSource $ ResultContainer name i m (ResultSignal $ Q.queueChanged_ m)
-
-instance (Show sm, Show so,
-          ResultItemable (ResultValue sm),
-          ResultItemable (ResultValue so))
-         => ResultProvider (IQ.Queue sm qm so qo a) where
-
-  resultSource' name i m =
-    infiniteQueueResultSource $ ResultContainer name i m (ResultSignal $ IQ.queueChanged_ m)
-
-instance ResultProvider ArrivalTimer where
-
-  resultSource' name i m =
-    arrivalTimerResultSource $ ResultContainer name i m (ResultSignal $ arrivalProcessingTimeChanged_ m)
-
-instance (Show s, ResultItemable (ResultValue s)) => ResultProvider (Server s a b) where
-
-  resultSource' name i m =
-    serverResultSource $ ResultContainer name i m (ResultSignal $ serverChanged_ m)
+
+{-# LANGUAGE CPP, FlexibleContexts, FlexibleInstances, UndecidableInstances, ExistentialQuantification #-}
+
+-- |
+-- Module     : Simulation.Aivika.Results
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module allows exporting the simulation results from the model.
+--
+module Simulation.Aivika.Results
+       (-- * Definitions Focused on Modeling
+        Results,
+        ResultTransform,
+        ResultName,
+        ResultProvider(..),
+        results,
+        expandResults,
+        resultSummary,
+        resultByName,
+        resultByProperty,
+        resultById,
+        resultByIndex,
+        resultBySubscript,
+        ResultComputing(..),
+        ResultComputation(..),
+        ResultListWithSubscript(..),
+        ResultArrayWithSubscript(..),
+#ifndef __HASTE__
+        ResultVectorWithSubscript(..),
+#endif
+        -- * Definitions Focused on Using the Library
+        ResultExtract(..),
+        extractIntResults,
+        extractIntListResults,
+        extractIntStatsResults,
+        extractIntStatsEitherResults,
+        extractIntTimingStatsResults,
+        extractDoubleResults,
+        extractDoubleListResults,
+        extractDoubleStatsResults,
+        extractDoubleStatsEitherResults,
+        extractDoubleTimingStatsResults,
+        extractStringResults,
+        ResultPredefinedSignals(..),
+        newResultPredefinedSignals,
+        resultSignal,
+        pureResultSignal,
+        -- * Definitions Focused on Extending the Library 
+        ResultSourceMap,
+        ResultSource(..),
+        ResultItem(..),
+        ResultItemable(..),
+        resultItemToIntStatsEitherValue,
+        resultItemToDoubleStatsEitherValue,
+        ResultObject(..),
+        ResultProperty(..),
+        ResultVector(..),
+        memoResultVectorSignal,
+        memoResultVectorSummary,
+        ResultSeparator(..),
+        ResultValue(..),
+        voidResultValue,
+        ResultContainer(..),
+        resultContainerPropertySource,
+        resultContainerConstProperty,
+        resultContainerIntegProperty,
+        resultContainerProperty,
+        resultContainerMapProperty,
+        resultValueToContainer,
+        resultContainerToValue,
+        ResultData,
+        ResultSignal(..),
+        maybeResultSignal,
+        textResultSource,
+        timeResultSource,
+        resultSourceToIntValues,
+        resultSourceToIntListValues,
+        resultSourceToIntStatsValues,
+        resultSourceToIntStatsEitherValues,
+        resultSourceToIntTimingStatsValues,
+        resultSourceToDoubleValues,
+        resultSourceToDoubleListValues,
+        resultSourceToDoubleStatsValues,
+        resultSourceToDoubleStatsEitherValues,
+        resultSourceToDoubleTimingStatsValues,
+        resultSourceToStringValues,
+        resultSourceMap,
+        resultSourceList,
+        resultsToIntValues,
+        resultsToIntListValues,
+        resultsToIntStatsValues,
+        resultsToIntStatsEitherValues,
+        resultsToIntTimingStatsValues,
+        resultsToDoubleValues,
+        resultsToDoubleListValues,
+        resultsToDoubleStatsValues,
+        resultsToDoubleStatsEitherValues,
+        resultsToDoubleTimingStatsValues,
+        resultsToStringValues,
+        composeResults,
+        computeResultValue) where
+
+import Control.Monad
+import Control.Monad.Trans
+
+import qualified Data.Map as M
+import qualified Data.Array as A
+
+#ifndef __HASTE__
+import qualified Data.Vector as V
+#endif
+
+import Data.Ix
+import Data.Maybe
+import Data.Monoid
+
+import Simulation.Aivika.Parameter
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Statistics.Accumulator
+import Simulation.Aivika.Ref
+import qualified Simulation.Aivika.Ref.Plain as LR
+import Simulation.Aivika.Var
+import Simulation.Aivika.QueueStrategy
+import qualified Simulation.Aivika.Queue as Q
+import qualified Simulation.Aivika.Queue.Infinite as IQ
+import Simulation.Aivika.Arrival
+import Simulation.Aivika.Server
+import Simulation.Aivika.Results.Locale
+
+-- | A name used for indentifying the results when generating output.
+type ResultName = String
+
+-- | Represents a provider of the simulation results. It is usually something, or
+-- an array of something, or a list of such values which can be simulated to get data.
+class ResultProvider p where
+  
+  -- | Return the source of simulation results by the specified name, description and provider. 
+  resultSource :: ResultName -> ResultDescription -> p -> ResultSource
+  resultSource name descr = resultSource' name (UserDefinedResultId descr)
+
+  -- | Return the source of simulation results by the specified name, identifier and provider. 
+  resultSource' :: ResultName -> ResultId -> p -> ResultSource
+
+-- | It associates the result sources with their names.
+type ResultSourceMap = M.Map ResultName ResultSource
+
+-- | Encapsulates the result source.
+data ResultSource = ResultItemSource ResultItem
+                    -- ^ The source consisting of a single item.
+                  | ResultObjectSource ResultObject
+                    -- ^ An object-like source.
+                  | ResultVectorSource ResultVector
+                    -- ^ A vector-like structure.
+                  | ResultSeparatorSource ResultSeparator
+                    -- ^ This is a separator text.
+
+-- | The simulation results represented by a single item.
+data ResultItem = forall a. ResultItemable a => ResultItem a
+
+-- | Represents a type class for actual representing the items.
+class ResultItemable a where
+
+  -- | The item name.
+  resultItemName :: a -> ResultName
+  
+  -- | The item identifier.
+  resultItemId :: a -> ResultId
+
+  -- | Whether the item emits a signal.
+  resultItemSignal :: a -> ResultSignal
+
+  -- | Return an expanded version of the item, for example,
+  -- when the statistics item is exanded to an object
+  -- having the corresponded properties for count, average,
+  -- deviation, minimum, maximum and so on.
+  resultItemExpansion :: a -> ResultSource
+  
+  -- | Return usually a short version of the item, i.e. its summary,
+  -- but values of some data types such as statistics can be
+  -- implicitly expanded to an object with the corresponded
+  -- properties.
+  resultItemSummary :: a -> ResultSource
+  
+  -- | Return integer numbers in time points.
+  resultItemToIntValue :: a -> ResultValue Int
+
+  -- | Return lists of integer numbers in time points. 
+  resultItemToIntListValue :: a -> ResultValue [Int]
+
+  -- | Return statistics based on integer numbers.
+  resultItemToIntStatsValue :: a -> ResultValue (SamplingStats Int)
+
+  -- | Return timing statistics based on integer numbers.
+  resultItemToIntTimingStatsValue :: a -> ResultValue (TimingStats Int)
+
+  -- | Return double numbers in time points.
+  resultItemToDoubleValue :: a -> ResultValue Double
+  
+  -- | Return lists of double numbers in time points. 
+  resultItemToDoubleListValue :: a -> ResultValue [Double]
+
+  -- | Return statistics based on double numbers.
+  resultItemToDoubleStatsValue :: a -> ResultValue (SamplingStats Double)
+
+  -- | Return timing statistics based on integer numbers.
+  resultItemToDoubleTimingStatsValue :: a -> ResultValue (TimingStats Double)
+
+  -- | Return string representations in time points.
+  resultItemToStringValue :: a -> ResultValue String
+
+-- | Return a version optimised for fast aggregation of the statistics based on integer numbers.
+resultItemToIntStatsEitherValue :: ResultItemable a => a -> ResultValue (Either Int (SamplingStats Int))
+resultItemToIntStatsEitherValue x =
+  case resultValueData x1 of
+    Just a1 -> fmap Left x1
+    Nothing ->
+      case resultValueData x2 of
+        Just a2 -> fmap Right x2
+        Nothing -> voidResultValue x2
+  where
+    x1 = resultItemToIntValue x
+    x2 = resultItemToIntStatsValue x
+
+-- | Return a version optimised for fast aggregation of the statistics based on double floating point numbers.
+resultItemToDoubleStatsEitherValue :: ResultItemable a => a -> ResultValue (Either Double (SamplingStats Double))
+resultItemToDoubleStatsEitherValue x =
+  case resultValueData x1 of
+    Just a1 -> fmap Left x1
+    Nothing ->
+      case resultValueData x2 of
+        Just a2 -> fmap Right x2
+        Nothing -> voidResultValue x2
+  where
+    x1 = resultItemToDoubleValue x
+    x2 = resultItemToDoubleStatsValue x
+
+-- | The simulation results represented by an object having properties.
+data ResultObject =
+  ResultObject { resultObjectName :: ResultName,
+                 -- ^ The object name.
+                 resultObjectId :: ResultId,
+                 -- ^ The object identifier.
+                 resultObjectTypeId :: ResultId,
+                 -- ^ The object type identifier.
+                 resultObjectProperties :: [ResultProperty],
+                 -- ^ The object properties.
+                 resultObjectSignal :: ResultSignal,
+                 -- ^ A combined signal if present.
+                 resultObjectSummary :: ResultSource
+                 -- ^ A short version of the object, i.e. its summary.
+               }
+
+-- | The object property containing the simulation results.
+data ResultProperty =
+  ResultProperty { resultPropertyLabel :: ResultName,
+                   -- ^ The property short label.
+                   resultPropertyId :: ResultId,
+                   -- ^ The property identifier.
+                   resultPropertySource :: ResultSource
+                   -- ^ The simulation results supplied by the property.
+                 }
+
+-- | The simulation results represented by a vector.
+data ResultVector =
+  ResultVector { resultVectorName :: ResultName,
+                 -- ^ The vector name.
+                 resultVectorId :: ResultId,
+                 -- ^ The vector identifier.
+                 resultVectorItems :: A.Array Int ResultSource,
+                 -- ^ The results supplied by the vector items.
+                 resultVectorSubscript :: A.Array Int ResultName,
+                 -- ^ The subscript used as a suffix to create item names.
+                 resultVectorSignal :: ResultSignal,
+                 -- ^ A combined signal if present.
+                 resultVectorSummary :: ResultSource
+                 -- ^ A short version of the vector, i.e. summary.
+               }
+
+-- | Calculate the result vector signal and memoize it in a new vector.
+memoResultVectorSignal :: ResultVector -> ResultVector
+memoResultVectorSignal x =
+  x { resultVectorSignal =
+         foldr (<>) mempty $ map resultSourceSignal $ A.elems $ resultVectorItems x }
+
+-- | Calculate the result vector summary and memoize it in a new vector.
+memoResultVectorSummary :: ResultVector -> ResultVector
+memoResultVectorSummary x =
+  x { resultVectorSummary =
+         ResultVectorSource $
+         x { resultVectorItems =
+                A.array bnds [(i, resultSourceSummary e) | (i, e) <- ies] } }
+  where
+    arr  = resultVectorItems x
+    bnds = A.bounds arr
+    ies  = A.assocs arr
+
+-- | It separates the simulation results when printing.
+data ResultSeparator =
+  ResultSeparator { resultSeparatorText :: String
+                    -- ^ The separator text.
+                  }
+
+-- | A parameterised value that actually represents a generalised result item that have no parametric type.
+data ResultValue e =
+  ResultValue { resultValueName :: ResultName,
+                -- ^ The value name.
+                resultValueId :: ResultId,
+                -- ^ The value identifier.
+                resultValueData :: ResultData e,
+                -- ^ Simulation data supplied by the value.
+                resultValueSignal :: ResultSignal
+                -- ^ Whether the value emits a signal when changing simulation data.
+              }
+
+instance Functor ResultValue where
+  fmap f x = x { resultValueData = fmap (fmap f) (resultValueData x) }
+
+-- | Return a new value with the discarded simulation results.
+voidResultValue :: ResultValue a -> ResultValue b
+voidResultValue x = x { resultValueData = Nothing }
+
+-- | A container of the simulation results such as queue, server or array.
+data ResultContainer e =
+  ResultContainer { resultContainerName :: ResultName,
+                    -- ^ The container name.
+                    resultContainerId :: ResultId,
+                    -- ^ The container identifier.
+                    resultContainerData :: e,
+                    -- ^ The container data.
+                    resultContainerSignal :: ResultSignal
+                    -- ^ Whether the container emits a signal when changing simulation data.
+                  }
+
+instance Functor ResultContainer where
+  fmap f x = x { resultContainerData = f (resultContainerData x) }
+
+-- | Create a new property source by the specified container.
+resultContainerPropertySource :: ResultItemable (ResultValue b)
+                                 => ResultContainer a
+                                 -- ^ the container
+                                 -> ResultName
+                                 -- ^ the property label
+                                 -> ResultId
+                                 -- ^ the property identifier
+                                 -> (a -> ResultData b)
+                                 -- ^ get the specified data from the container
+                                 -> (a -> ResultSignal)
+                                 -- ^ get the data signal from the container
+                                 -> ResultSource
+resultContainerPropertySource cont name i f g =
+  ResultItemSource $
+  ResultItem $
+  ResultValue {
+    resultValueName   = (resultContainerName cont) ++ "." ++ name,
+    resultValueId     = i,
+    resultValueData   = f (resultContainerData cont),
+    resultValueSignal = g (resultContainerData cont) }
+
+-- | Create a constant property by the specified container.
+resultContainerConstProperty :: ResultItemable (ResultValue b)
+                                => ResultContainer a
+                                -- ^ the container
+                                -> ResultName
+                                -- ^ the property label
+                                -> ResultId
+                                -- ^ the property identifier
+                                -> (a -> b)
+                                -- ^ get the specified data from the container
+                                -> ResultProperty
+resultContainerConstProperty cont name i f =
+  ResultProperty {
+    resultPropertyLabel = name,
+    resultPropertyId = i,
+    resultPropertySource =
+      resultContainerPropertySource cont name i (Just . return . f) (const EmptyResultSignal) }
+  
+-- | Create by the specified container a property that changes in the integration time points, or it is supposed to be such one.
+resultContainerIntegProperty :: ResultItemable (ResultValue b)
+                                => ResultContainer a
+                                -- ^ the container
+                                -> ResultName
+                                -- ^ the property label
+                                -> ResultId
+                                -- ^ the property identifier
+                                -> (a -> Event b)
+                                -- ^ get the specified data from the container
+                             -> ResultProperty
+resultContainerIntegProperty cont name i f =
+  ResultProperty {
+    resultPropertyLabel = name,
+    resultPropertyId = i,
+    resultPropertySource =
+      resultContainerPropertySource cont name i (Just . f) (const UnknownResultSignal) }
+  
+-- | Create a property by the specified container.
+resultContainerProperty :: ResultItemable (ResultValue b)
+                           => ResultContainer a
+                           -- ^ the container
+                           -> ResultName
+                           -- ^ the property label
+                           -> ResultId
+                           -- ^ the property identifier
+                           -> (a -> Event b)
+                           -- ^ get the specified data from the container
+                           -> (a -> Signal ())
+                           -- ^ get a signal triggered when changing data.
+                           -> ResultProperty
+resultContainerProperty cont name i f g =                     
+  ResultProperty {
+    resultPropertyLabel = name,
+    resultPropertyId = i,
+    resultPropertySource =
+      resultContainerPropertySource cont name i (Just . f) (ResultSignal . g) }
+
+-- | Create by the specified container a mapped property which is recomputed each time again and again.
+resultContainerMapProperty :: ResultItemable (ResultValue b)
+                              => ResultContainer (ResultData a)
+                              -- ^ the container
+                              -> ResultName
+                              -- ^ the property label
+                              -> ResultId
+                              -- ^ the property identifier
+                              -> (a -> b)
+                              -- ^ recompute the specified data
+                              -> ResultProperty
+resultContainerMapProperty cont name i f =                     
+  ResultProperty {
+    resultPropertyLabel = name,
+    resultPropertyId = i,
+    resultPropertySource =
+      resultContainerPropertySource cont name i (fmap $ fmap f) (const $ resultContainerSignal cont) }
+
+-- | Convert the result value to a container with the specified object identifier. 
+resultValueToContainer :: ResultValue a -> ResultContainer (ResultData a)
+resultValueToContainer x =
+  ResultContainer {
+    resultContainerName   = resultValueName x,
+    resultContainerId     = resultValueId x,
+    resultContainerData   = resultValueData x,
+    resultContainerSignal = resultValueSignal x }
+
+-- | Convert the result container to a value.
+resultContainerToValue :: ResultContainer (ResultData a) -> ResultValue a
+resultContainerToValue x =
+  ResultValue {
+    resultValueName   = resultContainerName x,
+    resultValueId     = resultContainerId x,
+    resultValueData   = resultContainerData x,
+    resultValueSignal = resultContainerSignal x }
+
+-- | Represents the very simulation results.
+type ResultData e = Maybe (Event e)
+
+-- | Whether an object containing the results emits a signal notifying about change of data.
+data ResultSignal = EmptyResultSignal
+                    -- ^ There is no signal at all.
+                  | UnknownResultSignal
+                    -- ^ The signal is unknown, but the entity probably changes.
+                  | ResultSignal (Signal ())
+                    -- ^ When the signal is precisely specified.
+                  | ResultSignalMix (Signal ())
+                    -- ^ When the specified signal was combined with unknown signal.
+
+instance Monoid ResultSignal where
+
+  mempty = EmptyResultSignal
+
+  mappend EmptyResultSignal z = z
+
+  mappend UnknownResultSignal EmptyResultSignal = UnknownResultSignal
+  mappend UnknownResultSignal UnknownResultSignal = UnknownResultSignal
+  mappend UnknownResultSignal (ResultSignal x) = ResultSignalMix x
+  mappend UnknownResultSignal z@(ResultSignalMix x) = z
+  
+  mappend z@(ResultSignal x) EmptyResultSignal = z
+  mappend (ResultSignal x) UnknownResultSignal = ResultSignalMix x
+  mappend (ResultSignal x) (ResultSignal y) = ResultSignal (x <> y)
+  mappend (ResultSignal x) (ResultSignalMix y) = ResultSignalMix (x <> y)
+  
+  mappend z@(ResultSignalMix x) EmptyResultSignal = z
+  mappend z@(ResultSignalMix x) UnknownResultSignal = z
+  mappend (ResultSignalMix x) (ResultSignal y) = ResultSignalMix (x <> y)
+  mappend (ResultSignalMix x) (ResultSignalMix y) = ResultSignalMix (x <> y)
+
+-- | Construct a new result signal by the specified optional pure signal.
+maybeResultSignal :: Maybe (Signal ()) -> ResultSignal
+maybeResultSignal (Just x) = ResultSignal x
+maybeResultSignal Nothing  = EmptyResultSignal
+
+instance ResultItemable (ResultValue Int) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = id
+  resultItemToIntListValue = fmap return
+  resultItemToIntStatsValue = fmap returnSamplingStats
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = fmap fromIntegral
+  resultItemToDoubleListValue = fmap (return . fromIntegral)
+  resultItemToDoubleStatsValue = fmap (returnSamplingStats . fromIntegral)
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue Double) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+  
+  resultItemToDoubleValue = id
+  resultItemToDoubleListValue = fmap return
+  resultItemToDoubleStatsValue = fmap returnSamplingStats
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue [Int]) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = id
+  resultItemToIntStatsValue = fmap listSamplingStats
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = fmap (map fromIntegral)
+  resultItemToDoubleStatsValue = fmap (fromIntSamplingStats . listSamplingStats)
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue [Double]) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+  
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = id
+  resultItemToDoubleStatsValue = fmap listSamplingStats
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue (SamplingStats Int)) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = id
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = fmap fromIntSamplingStats
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = samplingStatsResultSource
+  resultItemSummary = samplingStatsResultSummary
+
+instance ResultItemable (ResultValue (SamplingStats Double)) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+  
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = id
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = samplingStatsResultSource
+  resultItemSummary = samplingStatsResultSummary
+
+instance ResultItemable (ResultValue (TimingStats Int)) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = id
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = fmap fromIntTimingStats
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = timingStatsResultSource
+  resultItemSummary = timingStatsResultSummary
+
+instance ResultItemable (ResultValue (TimingStats Double)) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = id
+
+  resultItemToStringValue = fmap show
+  
+  resultItemExpansion = timingStatsResultSource
+  resultItemSummary = timingStatsResultSummary
+
+instance ResultItemable (ResultValue Bool) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue String) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue ()) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue FCFS) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue LCFS) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue SIRO) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+instance ResultItemable (ResultValue StaticPriorities) where
+
+  resultItemName = resultValueName
+  resultItemId = resultValueId
+  resultItemSignal = resultValueSignal
+  
+  resultItemToIntValue = voidResultValue
+  resultItemToIntListValue = voidResultValue
+  resultItemToIntStatsValue = voidResultValue
+  resultItemToIntTimingStatsValue = voidResultValue
+
+  resultItemToDoubleValue = voidResultValue
+  resultItemToDoubleListValue = voidResultValue
+  resultItemToDoubleStatsValue = voidResultValue
+  resultItemToDoubleTimingStatsValue = voidResultValue
+
+  resultItemToStringValue = fmap show
+
+  resultItemExpansion = ResultItemSource . ResultItem
+  resultItemSummary = ResultItemSource . ResultItem
+
+-- | Flatten the result source.
+flattenResultSource :: ResultSource -> [ResultItem]
+flattenResultSource (ResultItemSource x) = [x]
+flattenResultSource (ResultObjectSource x) =
+  concat $ map (flattenResultSource . resultPropertySource) $ resultObjectProperties x
+flattenResultSource (ResultVectorSource x) =
+  concat $ map flattenResultSource $ A.elems $ resultVectorItems x
+flattenResultSource (ResultSeparatorSource x) = []
+
+-- | Return the result source name.
+resultSourceName :: ResultSource -> ResultName
+resultSourceName (ResultItemSource (ResultItem x)) = resultItemName x
+resultSourceName (ResultObjectSource x) = resultObjectName x
+resultSourceName (ResultVectorSource x) = resultVectorName x
+resultSourceName (ResultSeparatorSource x) = []
+
+-- | Expand the result source returning a more detailed version expanding the properties as possible.
+expandResultSource :: ResultSource -> ResultSource
+expandResultSource (ResultItemSource (ResultItem x)) = resultItemExpansion x
+expandResultSource (ResultObjectSource x) =
+  ResultObjectSource $
+  x { resultObjectProperties =
+         flip fmap (resultObjectProperties x) $ \p ->
+         p { resultPropertySource = expandResultSource (resultPropertySource p) } }
+expandResultSource (ResultVectorSource x) =
+  ResultVectorSource $
+  x { resultVectorItems =
+         A.array bnds [(i, expandResultSource e) | (i, e) <- ies] }
+    where arr  = resultVectorItems x
+          bnds = A.bounds arr
+          ies  = A.assocs arr
+expandResultSource z@(ResultSeparatorSource x) = z
+
+-- | Return a summarised and usually more short version of the result source expanding the main properties or excluding auxiliary properties if required.
+resultSourceSummary :: ResultSource -> ResultSource
+resultSourceSummary (ResultItemSource (ResultItem x)) = resultItemSummary x
+resultSourceSummary (ResultObjectSource x) = resultObjectSummary x
+resultSourceSummary (ResultVectorSource x) = resultVectorSummary x
+resultSourceSummary z@(ResultSeparatorSource x) = z
+
+-- | Return a signal emitted by the source.
+resultSourceSignal :: ResultSource -> ResultSignal
+resultSourceSignal (ResultItemSource (ResultItem x)) = resultItemSignal x
+resultSourceSignal (ResultObjectSource x) = resultObjectSignal x
+resultSourceSignal (ResultVectorSource x) = resultVectorSignal x
+resultSourceSignal (ResultSeparatorSource x) = EmptyResultSignal
+
+-- | Represent the result source as integer numbers.
+resultSourceToIntValues :: ResultSource -> [ResultValue Int]
+resultSourceToIntValues = map (\(ResultItem x) -> resultItemToIntValue x) . flattenResultSource
+
+-- | Represent the result source as lists of integer numbers.
+resultSourceToIntListValues :: ResultSource -> [ResultValue [Int]]
+resultSourceToIntListValues = map (\(ResultItem x) -> resultItemToIntListValue x) . flattenResultSource
+
+-- | Represent the result source as statistics based on integer numbers.
+resultSourceToIntStatsValues :: ResultSource -> [ResultValue (SamplingStats Int)]
+resultSourceToIntStatsValues = map (\(ResultItem x) -> resultItemToIntStatsValue x) . flattenResultSource
+
+-- | Represent the result source as statistics based on integer numbers and optimised for fast aggregation.
+resultSourceToIntStatsEitherValues :: ResultSource -> [ResultValue (Either Int (SamplingStats Int))]
+resultSourceToIntStatsEitherValues = map (\(ResultItem x) -> resultItemToIntStatsEitherValue x) . flattenResultSource
+
+-- | Represent the result source as timing statistics based on integer numbers.
+resultSourceToIntTimingStatsValues :: ResultSource -> [ResultValue (TimingStats Int)]
+resultSourceToIntTimingStatsValues = map (\(ResultItem x) -> resultItemToIntTimingStatsValue x) . flattenResultSource
+
+-- | Represent the result source as double floating point numbers.
+resultSourceToDoubleValues :: ResultSource -> [ResultValue Double]
+resultSourceToDoubleValues = map (\(ResultItem x) -> resultItemToDoubleValue x) . flattenResultSource
+
+-- | Represent the result source as lists of double floating point numbers.
+resultSourceToDoubleListValues :: ResultSource -> [ResultValue [Double]]
+resultSourceToDoubleListValues = map (\(ResultItem x) -> resultItemToDoubleListValue x) . flattenResultSource
+
+-- | Represent the result source as statistics based on double floating point numbers.
+resultSourceToDoubleStatsValues :: ResultSource -> [ResultValue (SamplingStats Double)]
+resultSourceToDoubleStatsValues = map (\(ResultItem x) -> resultItemToDoubleStatsValue x) . flattenResultSource
+
+-- | Represent the result source as statistics based on double floating point numbers and optimised for fast aggregation.
+resultSourceToDoubleStatsEitherValues :: ResultSource -> [ResultValue (Either Double (SamplingStats Double))]
+resultSourceToDoubleStatsEitherValues = map (\(ResultItem x) -> resultItemToDoubleStatsEitherValue x) . flattenResultSource
+
+-- | Represent the result source as timing statistics based on double floating point numbers.
+resultSourceToDoubleTimingStatsValues :: ResultSource -> [ResultValue (TimingStats Double)]
+resultSourceToDoubleTimingStatsValues = map (\(ResultItem x) -> resultItemToDoubleTimingStatsValue x) . flattenResultSource
+
+-- | Represent the result source as string values.
+resultSourceToStringValues :: ResultSource -> [ResultValue String]
+resultSourceToStringValues = map (\(ResultItem x) -> resultItemToStringValue x) . flattenResultSource
+
+-- | It contains the results of simulation.
+data Results =
+  Results { resultSourceMap :: ResultSourceMap,
+            -- ^ The sources of simulation results as a map of associated names.
+            resultSourceList :: [ResultSource]
+            -- ^ The sources of simulation results as an ordered list.
+          }
+
+-- | It transforms the results of simulation.
+type ResultTransform = Results -> Results
+
+-- | It representes the predefined signals provided by every simulation model.
+data ResultPredefinedSignals =
+  ResultPredefinedSignals { resultSignalInIntegTimes :: Signal Double,
+                            -- ^ The signal triggered in the integration time points.
+                            resultSignalInStartTime :: Signal Double,
+                            -- ^ The signal triggered in the start time.
+                            resultSignalInStopTime :: Signal Double
+                            -- ^ The signal triggered in the stop time.
+                          }
+
+-- | Create the predefined signals provided by every simulation model.
+newResultPredefinedSignals :: Simulation ResultPredefinedSignals
+newResultPredefinedSignals = runDynamicsInStartTime $ runEventWith EarlierEvents d where
+  d = do signalInIntegTimes <- newSignalInIntegTimes
+         signalInStartTime  <- newSignalInStartTime
+         signalInStopTime   <- newSignalInStopTime
+         return ResultPredefinedSignals { resultSignalInIntegTimes = signalInIntegTimes,
+                                          resultSignalInStartTime  = signalInStartTime,
+                                          resultSignalInStopTime   = signalInStopTime }
+
+instance Monoid Results where
+
+  mempty      = results mempty
+  mappend x y = results $ resultSourceList x <> resultSourceList y
+
+-- | Prepare the simulation results.
+results :: [ResultSource] -> Results
+results ms =
+  Results { resultSourceMap  = M.fromList $ map (\x -> (resultSourceName x, x)) ms,
+            resultSourceList = ms }
+
+-- | Represent the results as integer numbers.
+resultsToIntValues :: Results -> [ResultValue Int]
+resultsToIntValues = concat . map resultSourceToIntValues . resultSourceList
+
+-- | Represent the results as lists of integer numbers.
+resultsToIntListValues :: Results -> [ResultValue [Int]]
+resultsToIntListValues = concat . map resultSourceToIntListValues . resultSourceList
+
+-- | Represent the results as statistics based on integer numbers.
+resultsToIntStatsValues :: Results -> [ResultValue (SamplingStats Int)]
+resultsToIntStatsValues = concat . map resultSourceToIntStatsValues . resultSourceList
+
+-- | Represent the results as statistics based on integer numbers and optimised for fast aggregation.
+resultsToIntStatsEitherValues :: Results -> [ResultValue (Either Int (SamplingStats Int))]
+resultsToIntStatsEitherValues = concat . map resultSourceToIntStatsEitherValues . resultSourceList
+
+-- | Represent the results as timing statistics based on integer numbers.
+resultsToIntTimingStatsValues :: Results -> [ResultValue (TimingStats Int)]
+resultsToIntTimingStatsValues = concat . map resultSourceToIntTimingStatsValues . resultSourceList
+
+-- | Represent the results as double floating point numbers.
+resultsToDoubleValues :: Results -> [ResultValue Double]
+resultsToDoubleValues = concat . map resultSourceToDoubleValues . resultSourceList
+
+-- | Represent the results as lists of double floating point numbers.
+resultsToDoubleListValues :: Results -> [ResultValue [Double]]
+resultsToDoubleListValues = concat . map resultSourceToDoubleListValues . resultSourceList
+
+-- | Represent the results as statistics based on double floating point numbers.
+resultsToDoubleStatsValues :: Results -> [ResultValue (SamplingStats Double)]
+resultsToDoubleStatsValues = concat . map resultSourceToDoubleStatsValues . resultSourceList
+
+-- | Represent the results as statistics based on double floating point numbers and optimised for fast aggregation.
+resultsToDoubleStatsEitherValues :: Results -> [ResultValue (Either Double (SamplingStats Double))]
+resultsToDoubleStatsEitherValues = concat . map resultSourceToDoubleStatsEitherValues . resultSourceList
+
+-- | Represent the results as timing statistics based on double floating point numbers.
+resultsToDoubleTimingStatsValues :: Results -> [ResultValue (TimingStats Double)]
+resultsToDoubleTimingStatsValues = concat . map resultSourceToDoubleTimingStatsValues . resultSourceList
+
+-- | Represent the results as string values.
+resultsToStringValues :: Results -> [ResultValue String]
+resultsToStringValues = concat . map resultSourceToStringValues . resultSourceList
+
+-- | Return a signal emitted by the specified results.
+resultSignal :: Results -> ResultSignal
+resultSignal = mconcat . map resultSourceSignal . resultSourceList
+
+-- | Return an expanded version of the simulation results expanding the properties as possible, which
+-- takes place for expanding statistics to show the count, average, deviation, minimum, maximum etc.
+-- as separate values.
+expandResults :: ResultTransform
+expandResults = results . map expandResultSource . resultSourceList
+
+-- | Return a short version of the simulation results, i.e. their summary, expanding the main properties
+-- or excluding auxiliary properties if required.
+resultSummary :: ResultTransform
+resultSummary = results . map resultSourceSummary . resultSourceList
+
+-- | Take a result by its name.
+resultByName :: ResultName -> ResultTransform
+resultByName name rs =
+  case M.lookup name (resultSourceMap rs) of
+    Just x -> results [x]
+    Nothing ->
+      error $
+      "Not found result source with name " ++ name ++
+      ": resultByName"
+
+-- | Take a result from the object with the specified property label,
+-- but it is more preferrable to refer to the property by its 'ResultId'
+-- identifier with help of the 'resultById' function.
+resultByProperty :: ResultName -> ResultTransform
+resultByProperty label rs = flip composeResults rs loop
+  where
+    loop x =
+      case x of
+        ResultObjectSource s ->
+          let ps =
+                flip filter (resultObjectProperties s) $ \p ->
+                resultPropertyLabel p == label
+          in case ps of
+            [] ->
+              error $
+              "Not found property " ++ label ++
+              " for object " ++ resultObjectName s ++
+              ": resultByProperty"
+            ps ->
+              map resultPropertySource ps
+        ResultVectorSource s ->
+          concat $ map loop $ A.elems $ resultVectorItems s
+        x ->
+          error $
+          "Result source " ++ resultSourceName x ++
+          " is neither object, nor vector " ++
+          ": resultByProperty"
+
+-- | Take a result from the object with the specified identifier. It can identify
+-- an item, object property, the object iself, vector or its elements.
+resultById :: ResultId -> ResultTransform
+resultById i rs = flip composeResults rs loop
+  where
+    loop x =
+      case x of
+        ResultItemSource (ResultItem s) ->
+          if resultItemId s == i
+          then [x]
+          else error $
+               "Expected to find item with Id = " ++ show i ++
+               ", while the item " ++ resultItemName s ++
+               " has actual Id = " ++ show (resultItemId s) ++
+               ": resultById"
+        ResultObjectSource s ->
+          if resultObjectId s == i
+          then [x]
+          else let ps =
+                     flip filter (resultObjectProperties s) $ \p ->
+                     resultPropertyId p == i
+               in case ps of
+                 [] ->
+                   error $
+                   "Not found property with Id = " ++ show i ++
+                   " for object " ++ resultObjectName s ++
+                   " that has actual Id = " ++ show (resultObjectId s) ++
+                   ": resultById"
+                 ps ->
+                   map resultPropertySource ps
+        ResultVectorSource s ->
+          if resultVectorId s == i
+          then [x]
+          else concat $ map loop $ A.elems $ resultVectorItems s
+        x ->
+          error $
+          "Result source " ++ resultSourceName x ++
+          " is neither item, nor object, nor vector " ++
+          ": resultById"
+
+-- | Take a result from the vector by the specified integer index.
+resultByIndex :: Int -> ResultTransform
+resultByIndex index rs = flip composeResults rs loop
+  where
+    loop x =
+      case x of
+        ResultVectorSource s ->
+          [resultVectorItems s A.! index] 
+        x ->
+          error $
+          "Result source " ++ resultSourceName x ++
+          " is not vector " ++
+          ": resultByIndex"
+
+-- | Take a result from the vector by the specified string subscript.
+resultBySubscript :: ResultName -> ResultTransform
+resultBySubscript subscript rs = flip composeResults rs loop
+  where
+    loop x =
+      case x of
+        ResultVectorSource s ->
+          let ys = A.elems $ resultVectorItems s
+              zs = A.elems $ resultVectorSubscript s
+              ps =
+                flip filter (zip ys zs) $ \(y, z) ->
+                z == subscript
+          in case ps of
+            [] ->
+              error $
+              "Not found subscript " ++ subscript ++
+              " for vector " ++ resultVectorName s ++
+              ": resultBySubscript"
+            ps ->
+              map fst ps
+        x ->
+          error $
+          "Result source " ++ resultSourceName x ++
+          " is not vector " ++
+          ": resultBySubscript"
+
+-- | Compose the results using the specified transformation function.
+composeResults :: (ResultSource -> [ResultSource]) -> ResultTransform
+composeResults f =
+  results . concat . map f . resultSourceList
+
+-- | Concatenate the results using the specified list of transformation functions.
+concatResults :: [ResultTransform] -> ResultTransform
+concatResults trs rs =
+  results $ concat $ map (\tr -> resultSourceList $ tr rs) trs
+
+-- | Append the results using the specified transformation functions.
+appendResults :: ResultTransform -> ResultTransform -> ResultTransform
+appendResults x y =
+  concatResults [x, y]
+
+-- | Return a pure signal as a result of combination of the predefined signals
+-- with the specified result signal usually provided by the sources.
+--
+-- The signal returned is triggered when the source signal is triggered.
+-- The pure signal is also triggered in the integration time points
+-- if the source signal is unknown or it was combined with any unknown signal.
+pureResultSignal :: ResultPredefinedSignals -> ResultSignal -> Signal ()
+pureResultSignal rs EmptyResultSignal =
+  void (resultSignalInStartTime rs)
+pureResultSignal rs UnknownResultSignal =
+  void (resultSignalInIntegTimes rs)
+pureResultSignal rs (ResultSignal s) =
+  void (resultSignalInStartTime rs) <> void (resultSignalInStopTime rs) <> s
+pureResultSignal rs (ResultSignalMix s) =
+  void (resultSignalInIntegTimes rs) <> s
+
+-- | Defines a final result extract: its name, values and other data.
+data ResultExtract e =
+  ResultExtract { resultExtractName   :: ResultName,
+                  -- ^ The result name.
+                  resultExtractId     :: ResultId,
+                  -- ^ The result identifier.
+                  resultExtractData   :: Event e,
+                  -- ^ The result values.
+                  resultExtractSignal :: ResultSignal
+                  -- ^ Whether the result emits a signal.
+                }
+
+-- | Extract the results as integer values, or raise a conversion error.
+extractIntResults :: Results -> [ResultExtract Int]
+extractIntResults rs = flip map (resultsToIntValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of integer values: extractIntResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as lists of integer values, or raise a conversion error.
+extractIntListResults :: Results -> [ResultExtract [Int]]
+extractIntListResults rs = flip map (resultsToIntListValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of lists of integer values: extractIntListResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as statistics based on integer values,
+-- or raise a conversion error.
+extractIntStatsResults :: Results -> [ResultExtract (SamplingStats Int)]
+extractIntStatsResults rs = flip map (resultsToIntStatsValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of statistics based on integer values: extractIntStatsResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as statistics based on integer values and optimised
+-- for fast aggregation, or raise a conversion error.
+extractIntStatsEitherResults :: Results -> [ResultExtract (Either Int (SamplingStats Int))]
+extractIntStatsEitherResults rs = flip map (resultsToIntStatsEitherValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of statistics based on integer values: extractIntStatsEitherResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as timing statistics based on integer values,
+-- or raise a conversion error.
+extractIntTimingStatsResults :: Results -> [ResultExtract (TimingStats Int)]
+extractIntTimingStatsResults rs = flip map (resultsToIntTimingStatsValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of timing statistics based on integer values: extractIntTimingStatsResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as double floating point values, or raise a conversion error.
+extractDoubleResults :: Results -> [ResultExtract Double]
+extractDoubleResults rs = flip map (resultsToDoubleValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of double floating point values: extractDoubleResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as lists of double floating point values,
+-- or raise a conversion error.
+extractDoubleListResults :: Results -> [ResultExtract [Double]]
+extractDoubleListResults rs = flip map (resultsToDoubleListValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of lists of double floating point values: extractDoubleListResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as statistics based on double floating point values,
+-- or raise a conversion error.
+extractDoubleStatsResults :: Results -> [ResultExtract (SamplingStats Double)]
+extractDoubleStatsResults rs = flip map (resultsToDoubleStatsValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of statistics based on double floating point values: extractDoubleStatsResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as statistics based on double floating point values
+-- and optimised for fast aggregation, or raise a conversion error.
+extractDoubleStatsEitherResults :: Results -> [ResultExtract (Either Double (SamplingStats Double))]
+extractDoubleStatsEitherResults rs = flip map (resultsToDoubleStatsEitherValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of statistics based on double floating point values: extractDoubleStatsEitherResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as timing statistics based on double floating point values,
+-- or raise a conversion error.
+extractDoubleTimingStatsResults :: Results -> [ResultExtract (TimingStats Double)]
+extractDoubleTimingStatsResults rs = flip map (resultsToDoubleTimingStatsValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of timing statistics based on double floating point values: extractDoubleTimingStatsResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Extract the results as string values, or raise a conversion error.
+extractStringResults :: Results -> [ResultExtract String]
+extractStringResults rs = flip map (resultsToStringValues rs) $ \x ->
+  let n = resultValueName x
+      i = resultValueId x
+      a = resultValueData x
+      s = resultValueSignal x
+  in case a of
+    Nothing ->
+      error $
+      "Cannot represent variable " ++ n ++
+      " as a source of string values: extractStringResults"
+    Just a ->
+      ResultExtract n i a s
+
+-- | Represents a computation that can return the simulation data.
+class ResultComputing m where
+
+  -- | Compute data with the results of simulation.
+  computeResultData :: m a -> ResultData a
+
+  -- | Return the signal triggered when data change if such a signal exists.
+  computeResultSignal :: m a -> ResultSignal
+
+-- | Return a new result value by the specified name, identifier and computation.
+computeResultValue :: ResultComputing m
+                      => ResultName
+                      -- ^ the result name
+                      -> ResultId
+                      -- ^ the result identifier
+                      -> m a
+                      -- ^ the result computation
+                      -> ResultValue a
+computeResultValue name i m =
+  ResultValue {
+    resultValueName   = name,
+    resultValueId     = i,
+    resultValueData   = computeResultData m,
+    resultValueSignal = computeResultSignal m }
+
+-- | Represents a computation that can return the simulation data.
+data ResultComputation a =
+  ResultComputation { resultComputationData :: ResultData a,
+                      -- ^ Return data from the computation.
+                      resultComputationSignal :: ResultSignal
+                      -- ^ Return a signal from the computation.
+                    }
+
+instance ResultComputing ResultComputation where
+
+  computeResultData = resultComputationData
+  computeResultSignal = resultComputationSignal
+
+instance ResultComputing Parameter where
+
+  computeResultData = Just . liftParameter
+  computeResultSignal = const UnknownResultSignal
+
+instance ResultComputing Simulation where
+
+  computeResultData = Just . liftSimulation
+  computeResultSignal = const UnknownResultSignal
+
+instance ResultComputing Dynamics where
+
+  computeResultData = Just . liftDynamics
+  computeResultSignal = const UnknownResultSignal
+
+instance ResultComputing Event where
+
+  computeResultData = Just . id
+  computeResultSignal = const UnknownResultSignal
+
+instance ResultComputing Ref where
+
+  computeResultData = Just . readRef
+  computeResultSignal = ResultSignal . refChanged_
+
+instance ResultComputing LR.Ref where
+
+  computeResultData = Just . LR.readRef
+  computeResultSignal = const UnknownResultSignal
+
+instance ResultComputing Var where
+
+  computeResultData = Just . readVar
+  computeResultSignal = ResultSignal . varChanged_
+
+instance ResultComputing Signalable where
+
+  computeResultData = Just . readSignalable
+  computeResultSignal = ResultSignal . signalableChanged_
+      
+-- | Return a source by the specified statistics.
+samplingStatsResultSource :: (ResultItemable (ResultValue a),
+                              ResultItemable (ResultValue (SamplingStats a)))
+                             => ResultValue (SamplingStats a)
+                             -- ^ the statistics
+                             -> ResultSource
+samplingStatsResultSource x =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName      = resultValueName x,
+    resultObjectId        = resultValueId x,
+    resultObjectTypeId    = SamplingStatsId,
+    resultObjectSignal    = resultValueSignal x,
+    resultObjectSummary   = samplingStatsResultSummary x,
+    resultObjectProperties = [
+      resultContainerMapProperty c "count" SamplingStatsCountId samplingStatsCount,
+      resultContainerMapProperty c "mean" SamplingStatsMeanId samplingStatsMean,
+      resultContainerMapProperty c "mean2" SamplingStatsMean2Id samplingStatsMean2,
+      resultContainerMapProperty c "std" SamplingStatsDeviationId samplingStatsDeviation,
+      resultContainerMapProperty c "var" SamplingStatsVarianceId samplingStatsVariance,
+      resultContainerMapProperty c "min" SamplingStatsMinId samplingStatsMin,
+      resultContainerMapProperty c "max" SamplingStatsMaxId samplingStatsMax ] }
+  where
+    c = resultValueToContainer x
+
+-- | Return the summary by the specified statistics.
+samplingStatsResultSummary :: ResultItemable (ResultValue (SamplingStats a))
+                              => ResultValue (SamplingStats a)
+                              -- ^ the statistics
+                           -> ResultSource
+samplingStatsResultSummary = ResultItemSource . ResultItem . resultItemToStringValue 
+  
+-- | Return a source by the specified timing statistics.
+timingStatsResultSource :: (TimingData a,
+                            ResultItemable (ResultValue a),
+                            ResultItemable (ResultValue (TimingStats a)))
+                           => ResultValue (TimingStats a)
+                           -- ^ the statistics
+                           -> ResultSource
+timingStatsResultSource x =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName      = resultValueName x,
+    resultObjectId        = resultValueId x,
+    resultObjectTypeId    = TimingStatsId,
+    resultObjectSignal    = resultValueSignal x,
+    resultObjectSummary   = timingStatsResultSummary x,
+    resultObjectProperties = [
+      resultContainerMapProperty c "count" TimingStatsCountId timingStatsCount,
+      resultContainerMapProperty c "mean" TimingStatsMeanId timingStatsMean,
+      resultContainerMapProperty c "std" TimingStatsDeviationId timingStatsDeviation,
+      resultContainerMapProperty c "var" TimingStatsVarianceId timingStatsVariance,
+      resultContainerMapProperty c "min" TimingStatsMinId timingStatsMin,
+      resultContainerMapProperty c "max" TimingStatsMaxId timingStatsMax,
+      resultContainerMapProperty c "minTime" TimingStatsMinTimeId timingStatsMinTime,
+      resultContainerMapProperty c "maxTime" TimingStatsMaxTimeId timingStatsMaxTime,
+      resultContainerMapProperty c "startTime" TimingStatsStartTimeId timingStatsStartTime,
+      resultContainerMapProperty c "lastTime" TimingStatsLastTimeId timingStatsLastTime,
+      resultContainerMapProperty c "sum" TimingStatsSumId timingStatsSum,
+      resultContainerMapProperty c "sum2" TimingStatsSum2Id timingStatsSum2 ] }
+  where
+    c = resultValueToContainer x
+
+-- | Return the summary by the specified timing statistics.
+timingStatsResultSummary :: (TimingData a, ResultItemable (ResultValue (TimingStats a)))
+                            => ResultValue (TimingStats a) 
+                            -- ^ the statistics
+                            -> ResultSource
+timingStatsResultSummary = ResultItemSource . ResultItem . resultItemToStringValue
+  
+-- | Return a source by the specified finite queue.
+queueResultSource :: (Show si, Show sm, Show so,
+                      ResultItemable (ResultValue si),
+                      ResultItemable (ResultValue sm),
+                      ResultItemable (ResultValue so))
+                     => ResultContainer (Q.Queue si sm so a)
+                     -- ^ the queue container
+                     -> ResultSource
+queueResultSource c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = FiniteQueueId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = queueResultSummary c,
+    resultObjectProperties = [
+      resultContainerConstProperty c "enqueueStrategy" EnqueueStrategyId Q.enqueueStrategy,
+      resultContainerConstProperty c "enqueueStoringStrategy" EnqueueStoringStrategyId Q.enqueueStoringStrategy,
+      resultContainerConstProperty c "dequeueStrategy" DequeueStrategyId Q.dequeueStrategy,
+      resultContainerProperty c "queueNull" QueueNullId Q.queueNull Q.queueNullChanged_,
+      resultContainerProperty c "queueFull" QueueFullId Q.queueFull Q.queueFullChanged_,
+      resultContainerConstProperty c "queueMaxCount" QueueMaxCountId Q.queueMaxCount,
+      resultContainerProperty c "queueCount" QueueCountId Q.queueCount Q.queueCountChanged_,
+      resultContainerProperty c "queueCountStats" QueueCountStatsId Q.queueCountStats Q.queueCountChanged_,
+      resultContainerProperty c "enqueueCount" EnqueueCountId Q.enqueueCount Q.enqueueCountChanged_,
+      resultContainerProperty c "enqueueLostCount" EnqueueLostCountId Q.enqueueLostCount Q.enqueueLostCountChanged_,
+      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId Q.enqueueStoreCount Q.enqueueStoreCountChanged_,
+      resultContainerProperty c "dequeueCount" DequeueCountId Q.dequeueCount Q.dequeueCountChanged_,
+      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId Q.dequeueExtractCount Q.dequeueExtractCountChanged_,
+      resultContainerProperty c "queueLoadFactor" QueueLoadFactorId Q.queueLoadFactor Q.queueLoadFactorChanged_,
+      resultContainerIntegProperty c "enqueueRate" EnqueueRateId Q.enqueueRate,
+      resultContainerIntegProperty c "enqueueStoreRate" EnqueueStoreRateId Q.enqueueStoreRate,
+      resultContainerIntegProperty c "dequeueRate" DequeueRateId Q.dequeueRate,
+      resultContainerIntegProperty c "dequeueExtractRate" DequeueExtractRateId Q.dequeueExtractRate,
+      resultContainerProperty c "queueWaitTime" QueueWaitTimeId Q.queueWaitTime Q.queueWaitTimeChanged_,
+      resultContainerProperty c "queueTotalWaitTime" QueueTotalWaitTimeId Q.queueTotalWaitTime Q.queueTotalWaitTimeChanged_,
+      resultContainerProperty c "enqueueWaitTime" EnqueueWaitTimeId Q.enqueueWaitTime Q.enqueueWaitTimeChanged_,
+      resultContainerProperty c "dequeueWaitTime" DequeueWaitTimeId Q.dequeueWaitTime Q.dequeueWaitTimeChanged_,
+      resultContainerProperty c "queueRate" QueueRateId Q.queueRate Q.queueRateChanged_ ] }
+
+-- | Return the summary by the specified finite queue.
+queueResultSummary :: (Show si, Show sm, Show so)
+                      => ResultContainer (Q.Queue si sm so a)
+                      -- ^ the queue container
+                      -> ResultSource
+queueResultSummary c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = FiniteQueueId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = queueResultSummary c,
+    resultObjectProperties = [
+      resultContainerConstProperty c "queueMaxCount" QueueMaxCountId Q.queueMaxCount,
+      resultContainerProperty c "queueCountStats" QueueCountStatsId Q.queueCountStats Q.queueCountChanged_,
+      resultContainerProperty c "enqueueCount" EnqueueCountId Q.enqueueCount Q.enqueueCountChanged_,
+      resultContainerProperty c "enqueueLostCount" EnqueueLostCountId Q.enqueueLostCount Q.enqueueLostCountChanged_,
+      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId Q.enqueueStoreCount Q.enqueueStoreCountChanged_,
+      resultContainerProperty c "dequeueCount" DequeueCountId Q.dequeueCount Q.dequeueCountChanged_,
+      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId Q.dequeueExtractCount Q.dequeueExtractCountChanged_,
+      resultContainerProperty c "queueLoadFactor" QueueLoadFactorId Q.queueLoadFactor Q.queueLoadFactorChanged_,
+      resultContainerProperty c "queueWaitTime" QueueWaitTimeId Q.queueWaitTime Q.queueWaitTimeChanged_,
+      resultContainerProperty c "queueRate" QueueRateId Q.queueRate Q.queueRateChanged_ ] }
+
+-- | Return a source by the specified infinite queue.
+infiniteQueueResultSource :: (Show sm, Show so,
+                              ResultItemable (ResultValue sm),
+                              ResultItemable (ResultValue so))
+                             => ResultContainer (IQ.Queue sm so a)
+                             -- ^ the queue container
+                             -> ResultSource
+infiniteQueueResultSource c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = FiniteQueueId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = infiniteQueueResultSummary c,
+    resultObjectProperties = [
+      resultContainerConstProperty c "enqueueStoringStrategy" EnqueueStoringStrategyId IQ.enqueueStoringStrategy,
+      resultContainerConstProperty c "dequeueStrategy" DequeueStrategyId IQ.dequeueStrategy,
+      resultContainerProperty c "queueNull" QueueNullId IQ.queueNull IQ.queueNullChanged_,
+      resultContainerProperty c "queueCount" QueueCountId IQ.queueCount IQ.queueCountChanged_,
+      resultContainerProperty c "queueCountStats" QueueCountStatsId IQ.queueCountStats IQ.queueCountChanged_,
+      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId IQ.enqueueStoreCount IQ.enqueueStoreCountChanged_,
+      resultContainerProperty c "dequeueCount" DequeueCountId IQ.dequeueCount IQ.dequeueCountChanged_,
+      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId IQ.dequeueExtractCount IQ.dequeueExtractCountChanged_,
+      resultContainerIntegProperty c "enqueueStoreRate" EnqueueStoreRateId IQ.enqueueStoreRate,
+      resultContainerIntegProperty c "dequeueRate" DequeueRateId IQ.dequeueRate,
+      resultContainerIntegProperty c "dequeueExtractRate" DequeueExtractRateId IQ.dequeueExtractRate,
+      resultContainerProperty c "queueWaitTime" QueueWaitTimeId IQ.queueWaitTime IQ.queueWaitTimeChanged_,
+      resultContainerProperty c "dequeueWaitTime" DequeueWaitTimeId IQ.dequeueWaitTime IQ.dequeueWaitTimeChanged_,
+      resultContainerProperty c "queueRate" QueueRateId IQ.queueRate IQ.queueRateChanged_ ] }
+
+-- | Return the summary by the specified infinite queue.
+infiniteQueueResultSummary :: (Show sm, Show so)
+                              => ResultContainer (IQ.Queue sm so a)
+                              -- ^ the queue container
+                              -> ResultSource
+infiniteQueueResultSummary c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = FiniteQueueId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = infiniteQueueResultSummary c,
+    resultObjectProperties = [
+      resultContainerProperty c "queueCountStats" QueueCountStatsId IQ.queueCountStats IQ.queueCountChanged_,
+      resultContainerProperty c "enqueueStoreCount" EnqueueStoreCountId IQ.enqueueStoreCount IQ.enqueueStoreCountChanged_,
+      resultContainerProperty c "dequeueCount" DequeueCountId IQ.dequeueCount IQ.dequeueCountChanged_,
+      resultContainerProperty c "dequeueExtractCount" DequeueExtractCountId IQ.dequeueExtractCount IQ.dequeueExtractCountChanged_,
+      resultContainerProperty c "queueWaitTime" QueueWaitTimeId IQ.queueWaitTime IQ.queueWaitTimeChanged_,
+      resultContainerProperty c "queueRate" QueueRateId IQ.queueRate IQ.queueRateChanged_ ] }
+  
+-- | Return a source by the specified arrival timer.
+arrivalTimerResultSource :: ResultContainer ArrivalTimer
+                            -- ^ the arrival timer container
+                            -> ResultSource
+arrivalTimerResultSource c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = ArrivalTimerId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = arrivalTimerResultSummary c,
+    resultObjectProperties = [
+      resultContainerProperty c "processingTime" ArrivalProcessingTimeId arrivalProcessingTime arrivalProcessingTimeChanged_ ] }
+
+-- | Return the summary by the specified arrival timer.
+arrivalTimerResultSummary :: ResultContainer ArrivalTimer
+                             -- ^ the arrival timer container
+                             -> ResultSource
+arrivalTimerResultSummary c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = ArrivalTimerId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = arrivalTimerResultSummary c,
+    resultObjectProperties = [
+      resultContainerProperty c "processingTime" ArrivalProcessingTimeId arrivalProcessingTime arrivalProcessingTimeChanged_ ] }
+
+-- | Return a source by the specified server.
+serverResultSource :: (Show s, ResultItemable (ResultValue s))
+                      => ResultContainer (Server s a b)
+                      -- ^ the server container
+                      -> ResultSource
+serverResultSource c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = ServerId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = serverResultSummary c,
+    resultObjectProperties = [
+      resultContainerConstProperty c "initState" ServerInitStateId serverInitState,
+      resultContainerProperty c "state" ServerStateId serverState serverStateChanged_,
+      resultContainerProperty c "totalInputWaitTime" ServerTotalInputWaitTimeId serverTotalInputWaitTime serverTotalInputWaitTimeChanged_,
+      resultContainerProperty c "totalProcessingTime" ServerTotalProcessingTimeId serverTotalProcessingTime serverTotalProcessingTimeChanged_,
+      resultContainerProperty c "totalOutputWaitTime" ServerTotalOutputWaitTimeId serverTotalOutputWaitTime serverTotalOutputWaitTimeChanged_,
+      resultContainerProperty c "inputWaitTime" ServerInputWaitTimeId serverInputWaitTime serverInputWaitTimeChanged_,
+      resultContainerProperty c "processingTime" ServerProcessingTimeId serverProcessingTime serverProcessingTimeChanged_,
+      resultContainerProperty c "outputWaitTime" ServerOutputWaitTimeId serverOutputWaitTime serverOutputWaitTimeChanged_,
+      resultContainerProperty c "inputWaitFactor" ServerInputWaitFactorId serverInputWaitFactor serverInputWaitFactorChanged_,
+      resultContainerProperty c "processingFactor" ServerProcessingFactorId serverProcessingFactor serverProcessingFactorChanged_,
+      resultContainerProperty c "outputWaitFactor" ServerOutputWaitFactorId serverOutputWaitFactor serverOutputWaitFactorChanged_ ] }
+
+-- | Return the summary by the specified server.
+serverResultSummary :: ResultContainer (Server s a b)
+                       -- ^ the server container
+                       -> ResultSource
+serverResultSummary c =
+  ResultObjectSource $
+  ResultObject {
+    resultObjectName = resultContainerName c,
+    resultObjectId = resultContainerId c,
+    resultObjectTypeId = ServerId,
+    resultObjectSignal = resultContainerSignal c,
+    resultObjectSummary = serverResultSummary c,
+    resultObjectProperties = [
+      resultContainerProperty c "inputWaitTime" ServerInputWaitTimeId serverInputWaitTime serverInputWaitTimeChanged_,
+      resultContainerProperty c "processingTime" ServerProcessingTimeId serverProcessingTime serverProcessingTimeChanged_,
+      resultContainerProperty c "outputWaitTime" ServerOutputWaitTimeId serverOutputWaitTime serverOutputWaitTimeChanged_,
+      resultContainerProperty c "inputWaitFactor" ServerInputWaitFactorId serverInputWaitFactor serverInputWaitFactorChanged_,
+      resultContainerProperty c "processingFactor" ServerProcessingFactorId serverProcessingFactor serverProcessingFactorChanged_,
+      resultContainerProperty c "outputWaitFactor" ServerOutputWaitFactorId serverOutputWaitFactor serverOutputWaitFactorChanged_ ] }
+
+-- | Return an arbitrary text as a separator source.
+textResultSource :: String -> ResultSource
+textResultSource text =
+  ResultSeparatorSource $
+  ResultSeparator { resultSeparatorText = text }
+
+-- | Return the source of the modeling time.
+timeResultSource :: ResultSource
+timeResultSource = resultSource' "t" TimeId time
+                         
+-- | Make an integer subscript
+intSubscript :: Int -> ResultName
+intSubscript i = "[" ++ show i ++ "]"
+
+instance ResultComputing m => ResultProvider (m Double) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m [Double]) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m (SamplingStats Double)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m (TimingStats Double)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m Int) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m [Int]) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m (SamplingStats Int)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m (TimingStats Int)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m String) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ computeResultValue name i m
+
+instance ResultProvider p => ResultProvider [p] where
+
+  resultSource' name i m =
+    resultSource' name i $ ResultListWithSubscript m subscript where
+      subscript = map snd $ zip m $ map intSubscript [0..]
+
+instance (Show i, Ix i, ResultProvider p) => ResultProvider (A.Array i p) where
+
+  resultSource' name i m =
+    resultSource' name i $ ResultListWithSubscript items subscript where
+      items = A.elems m
+      subscript = map (\i -> "[" ++ show i ++ "]") (A.indices m)
+
+#ifndef __HASTE__
+
+instance ResultProvider p => ResultProvider (V.Vector p) where
+  
+  resultSource' name i m =
+    resultSource' name i $ ResultVectorWithSubscript m subscript where
+      subscript = V.imap (\i x -> intSubscript i) m
+
+#endif
+
+-- | Represents a list with the specified subscript.
+data ResultListWithSubscript p =
+  ResultListWithSubscript [p] [String]
+
+-- | Represents an array with the specified subscript.
+data ResultArrayWithSubscript i p =
+  ResultArrayWithSubscript (A.Array i p) (A.Array i String)
+
+#ifndef __HASTE__
+
+-- | Represents a vector with the specified subscript.
+data ResultVectorWithSubscript p =
+  ResultVectorWithSubscript (V.Vector p) (V.Vector String)
+
+#endif
+
+instance ResultProvider p => ResultProvider (ResultListWithSubscript p) where
+
+  resultSource' name i (ResultListWithSubscript xs ys) =
+    ResultVectorSource $
+    memoResultVectorSignal $
+    memoResultVectorSummary $
+    ResultVector { resultVectorName = name,
+                   resultVectorId = i,
+                   resultVectorItems = axs,
+                   resultVectorSubscript = ays,
+                   resultVectorSignal = undefined,
+                   resultVectorSummary = undefined }
+    where
+      bnds   = (0, length xs - 1)
+      axs    = A.listArray bnds items
+      ays    = A.listArray bnds ys
+      items  =
+        flip map (zip ys xs) $ \(y, x) ->
+        let name' = name ++ y
+        in resultSource' name' (VectorItemId y) x
+      items' = map resultSourceSummary items
+    
+instance (Show i, Ix i, ResultProvider p) => ResultProvider (ResultArrayWithSubscript i p) where
+
+  resultSource' name i (ResultArrayWithSubscript xs ys) =
+    resultSource' name i $ ResultListWithSubscript items subscript where
+      items = A.elems xs
+      subscript = A.elems ys
+      
+#ifndef __HASTE__
+
+instance ResultProvider p => ResultProvider (ResultVectorWithSubscript p) where
+
+  resultSource' name i (ResultVectorWithSubscript xs ys) =
+    ResultVectorSource $
+    memoResultVectorSignal $
+    memoResultVectorSummary $
+    ResultVector { resultVectorName = name,
+                   resultVectorId = i,
+                   resultVectorItems = axs,
+                   resultVectorSubscript = ays,
+                   resultVectorSignal = undefined,
+                   resultVectorSummary = undefined }
+    where
+      bnds   = (0, V.length xs - 1)
+      axs    = A.listArray bnds (V.toList items)
+      ays    = A.listArray bnds (V.toList ys)
+      items =
+        V.generate (V.length xs) $ \i ->
+        let x = xs V.! i
+            y = ys V.! i
+            name' = name ++ y
+        in resultSource' name' (VectorItemId y) x
+      items' = V.map resultSourceSummary items
+
+#endif
+
+instance (Ix i, Show i, ResultComputing m) => ResultProvider (m (A.Array i Double)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ fmap A.elems $ computeResultValue name i m
+
+instance (Ix i, Show i, ResultComputing m) => ResultProvider (m (A.Array i Int)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ fmap A.elems $ computeResultValue name i m
+
+#ifndef __HASTE__
+
+instance ResultComputing m => ResultProvider (m (V.Vector Double)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ fmap V.toList $ computeResultValue name i m
+
+instance ResultComputing m => ResultProvider (m (V.Vector Int)) where
+
+  resultSource' name i m =
+    ResultItemSource $ ResultItem $ fmap V.toList $ computeResultValue name i m
+
+#endif
+
+instance (Show si, Show sm, Show so,
+          ResultItemable (ResultValue si),
+          ResultItemable (ResultValue sm),
+          ResultItemable (ResultValue so))
+         => ResultProvider (Q.Queue si sm so a) where
+
+  resultSource' name i m =
+    queueResultSource $ ResultContainer name i m (ResultSignal $ Q.queueChanged_ m)
+
+instance (Show sm, Show so,
+          ResultItemable (ResultValue sm),
+          ResultItemable (ResultValue so))
+         => ResultProvider (IQ.Queue sm so a) where
+
+  resultSource' name i m =
+    infiniteQueueResultSource $ ResultContainer name i m (ResultSignal $ IQ.queueChanged_ m)
+
+instance ResultProvider ArrivalTimer where
+
+  resultSource' name i m =
+    arrivalTimerResultSource $ ResultContainer name i m (ResultSignal $ arrivalProcessingTimeChanged_ m)
+
+instance (Show s, ResultItemable (ResultValue s)) => ResultProvider (Server s a b) where
+
+  resultSource' name i m =
+    serverResultSource $ ResultContainer name i m (ResultSignal $ serverChanged_ m)
diff --git a/Simulation/Aivika/Results/IO.hs b/Simulation/Aivika/Results/IO.hs
--- a/Simulation/Aivika/Results/IO.hs
+++ b/Simulation/Aivika/Results/IO.hs
@@ -1,476 +1,476 @@
-
--- |
--- Module     : Simulation.Aivika.Results.IO
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module allows printing and converting the 'Simulation' 'Results' to a 'String'.
---
-module Simulation.Aivika.Results.IO
-       (-- * Basic Types
-        ResultSourcePrint,
-        ResultSourceShowS,
-        -- * Printing the Results
-        printResultsWithTime,
-        printResultsInStartTime,
-        printResultsInStopTime,
-        printResultsInIntegTimes,
-        printResultsInTime,
-        printResultsInTimes,
-        -- * Simulating and Printing the Results
-        printSimulationResultsInStartTime,
-        printSimulationResultsInStopTime,
-        printSimulationResultsInIntegTimes,
-        printSimulationResultsInTime,
-        printSimulationResultsInTimes,
-        -- * Showing the Results
-        showResultsWithTime,
-        showResultsInStartTime,
-        showResultsInStopTime,
-        showResultsInIntegTimes,
-        showResultsInTime,
-        showResultsInTimes,
-        -- * Simulating and Showing the Results
-        showSimulationResultsInStartTime,
-        showSimulationResultsInStopTime,
-        showSimulationResultsInIntegTimes,
-        showSimulationResultsInTime,
-        showSimulationResultsInTimes,
-        -- * Printing the Result Source
-        hPrintResultSourceIndented,
-        hPrintResultSource,
-        hPrintResultSourceInRussian,
-        hPrintResultSourceInEnglish,
-        printResultSourceIndented,
-        printResultSource,
-        printResultSourceInRussian,
-        printResultSourceInEnglish,
-        -- * Showing the Result Source
-        showResultSourceIndented,
-        showResultSource,
-        showResultSourceInRussian,
-        showResultSourceInEnglish) where
-
-import Control.Monad
-import Control.Monad.Trans
-
-import qualified Data.Map as M
-import qualified Data.Array as A
-
-import System.IO
-
-import Simulation.Aivika.Specs
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Results
-import Simulation.Aivika.Results.Locale
-
--- | This is a function that shows the simulation results within
--- the 'Event' computation synchronized with the event queue.
-type ResultSourceShowS = ResultSource -> Event ShowS
-
--- | This is a function that prints the simulation results within
--- the 'Event' computation synchronized with the event queue.
-type ResultSourcePrint = ResultSource -> Event ()
-
--- | Print a localised text representation of the results by the specified source
--- and with the given indent.
-hPrintResultSourceIndented :: Handle
-                              -- ^ a handle
-                              -> Int
-                              -- ^ an indent
-                              -> ResultLocalisation
-                              -- ^ a localisation
-                              -> ResultSourcePrint
-hPrintResultSourceIndented h indent loc source@(ResultItemSource (ResultItem x)) =
-  hPrintResultSourceIndentedLabelled h indent (resultItemName x) loc source
-hPrintResultSourceIndented h indent loc source@(ResultVectorSource x) =
-  hPrintResultSourceIndentedLabelled h indent (resultVectorName x) loc source
-hPrintResultSourceIndented h indent loc source@(ResultObjectSource x) =
-  hPrintResultSourceIndentedLabelled h indent (resultObjectName x) loc source
-hPrintResultSourceIndented h indent loc source@(ResultSeparatorSource x) =
-  hPrintResultSourceIndentedLabelled h indent (resultSeparatorText x) loc source
-
--- | Print an indented and labelled text representation of the results by
--- the specified source.
-hPrintResultSourceIndentedLabelled :: Handle
-                                      -- ^ a handle
-                                      -> Int
-                                      -- ^ an indent
-                                      -> ResultName
-                                      -- ^ a label
-                                      -> ResultLocalisation
-                                      -- ^ a localisation
-                                      -> ResultSourcePrint
-hPrintResultSourceIndentedLabelled h indent label loc (ResultItemSource (ResultItem x)) =
-  case resultValueData (resultItemToStringValue x) of
-    Just m ->
-      do a <- m
-         let tab = replicate indent ' '
-         liftIO $
-           do hPutStr h tab
-              hPutStr h "-- "
-              hPutStr h (loc $ resultItemId x)
-              hPutStrLn h ""
-              hPutStr h tab
-              hPutStr h label
-              hPutStr h " = "
-              hPutStrLn h a
-              hPutStrLn h ""
-    _ ->
-      error $
-      "Expected to see a string value for variable " ++
-      (resultItemName x) ++ ": hPrintResultSourceIndentedLabelled"
-hPrintResultSourceIndentedLabelled h indent label loc (ResultVectorSource x) =
-  do let tab = replicate indent ' '
-     liftIO $
-       do hPutStr h tab
-          hPutStr h "-- "
-          hPutStr h (loc $ resultVectorId x)
-          hPutStrLn h ""
-          hPutStr h tab
-          hPutStr h label
-          hPutStrLn h ":"
-          hPutStrLn h ""
-     let items = A.elems (resultVectorItems x)
-         subscript = A.elems (resultVectorSubscript x)
-     forM_ (zip items subscript) $ \(i, s) ->
-       hPrintResultSourceIndentedLabelled h (indent + 2) (label ++ s) loc i
-hPrintResultSourceIndentedLabelled h indent label loc (ResultObjectSource x) =
-  do let tab = replicate indent ' '
-     liftIO $
-       do hPutStr h tab
-          hPutStr h "-- "
-          hPutStr h (loc $ resultObjectId x)
-          hPutStrLn h ""
-          hPutStr h tab
-          hPutStr h label
-          hPutStrLn h ":"
-          hPutStrLn h ""
-     forM_ (resultObjectProperties x) $ \p ->
-       do let indent' = 2 + indent
-              tab'    = "  " ++ tab
-              label'  = resultPropertyLabel p
-              source' = resultPropertySource p
-          hPrintResultSourceIndentedLabelled h indent' label' loc source'
-hPrintResultSourceIndentedLabelled h indent label loc (ResultSeparatorSource x) =
-  do let tab = replicate indent ' '
-     liftIO $
-       do hPutStr h tab
-          hPutStr h label
-          hPutStrLn h ""
-          hPutStrLn h ""
-
--- | Print a localised text representation of the results by the specified source
--- and with the given indent.
-printResultSourceIndented :: Int
-                             -- ^ an indent
-                             -> ResultLocalisation
-                             -- ^ a localisation
-                             -> ResultSourcePrint
-printResultSourceIndented = hPrintResultSourceIndented stdout
-
--- | Print a localised text representation of the results by the specified source.
-hPrintResultSource :: Handle
-                      -- ^ a handle
-                      -> ResultLocalisation
-                      -- ^ a localisation
-                      -> ResultSourcePrint
-hPrintResultSource h = hPrintResultSourceIndented h 0
-
--- | Print a localised text representation of the results by the specified source.
-printResultSource :: ResultLocalisation
-                     -- ^ a localisation
-                     -> ResultSourcePrint
-printResultSource = hPrintResultSource stdout
-
--- | Print in Russian a text representation of the results by the specified source.
-hPrintResultSourceInRussian :: Handle -> ResultSourcePrint
-hPrintResultSourceInRussian h = hPrintResultSource h russianResultLocalisation
-
--- | Print in English a text representation of the results by the specified source.
-hPrintResultSourceInEnglish :: Handle -> ResultSourcePrint
-hPrintResultSourceInEnglish h = hPrintResultSource h englishResultLocalisation
-
--- | Print in Russian a text representation of the results by the specified source.
-printResultSourceInRussian :: ResultSourcePrint
-printResultSourceInRussian = hPrintResultSourceInRussian stdout
-
--- | Print in English a text representation of the results by the specified source.
-printResultSourceInEnglish :: ResultSourcePrint
-printResultSourceInEnglish = hPrintResultSourceInEnglish stdout
-
--- | Show a localised text representation of the results by the specified source
--- and with the given indent.
-showResultSourceIndented :: Int
-                            -- ^ an indent
-                            -> ResultLocalisation
-                            -- ^ a localisation
-                            -> ResultSourceShowS
-showResultSourceIndented indent loc source@(ResultItemSource (ResultItem x)) =
-  showResultSourceIndentedLabelled indent (resultItemName x) loc source
-showResultSourceIndented indent loc source@(ResultVectorSource x) =
-  showResultSourceIndentedLabelled indent (resultVectorName x) loc source
-showResultSourceIndented indent loc source@(ResultObjectSource x) =
-  showResultSourceIndentedLabelled indent (resultObjectName x) loc source
-showResultSourceIndented indent loc source@(ResultSeparatorSource x) =
-  showResultSourceIndentedLabelled indent (resultSeparatorText x) loc source
-
--- | Show an indented and labelled text representation of the results by the specified source.
-showResultSourceIndentedLabelled :: Int
-                                   -- ^ an indent
-                                   -> String
-                                   -- ^ a label
-                                   -> ResultLocalisation
-                                   -- ^ a localisation
-                                   -> ResultSourceShowS
-showResultSourceIndentedLabelled indent label loc (ResultItemSource (ResultItem x)) =
-  case resultValueData (resultItemToStringValue x) of
-    Just m ->
-      do a <- m
-         let tab = replicate indent ' '
-         return $
-           showString tab .
-           showString "-- " .
-           showString (loc $ resultItemId x) .
-           showString "\n" .
-           showString tab .
-           showString label .
-           showString " = " .
-           showString a .
-           showString "\n\n"
-    _ ->
-      error $
-      "Expected to see a string value for variable " ++
-      (resultItemName x) ++ ": showResultSourceIndentedLabelled"
-showResultSourceIndentedLabelled indent label loc (ResultVectorSource x) =
-  do let tab = replicate indent ' '
-         items = A.elems (resultVectorItems x)
-         subscript = A.elems (resultVectorSubscript x)
-     contents <-
-       forM (zip items subscript) $ \(i, s) ->
-       showResultSourceIndentedLabelled (indent + 2) (label ++ s) loc i
-     let showContents = foldr (.) id contents
-     return $
-       showString tab .
-       showString "-- " .
-       showString (loc $ resultVectorId x) .
-       showString "\n" .
-       showString tab .
-       showString label .
-       showString ":\n\n" .
-       showContents
-showResultSourceIndentedLabelled indent label loc (ResultObjectSource x) =
-  do let tab = replicate indent ' '
-     contents <-
-       forM (resultObjectProperties x) $ \p ->
-       do let indent' = 2 + indent
-              tab'    = "  " ++ tab
-              label'  = resultPropertyLabel p
-              output' = resultPropertySource p
-          showResultSourceIndentedLabelled indent' label' loc output'
-     let showContents = foldr (.) id contents
-     return $
-       showString tab .
-       showString "-- " .
-       showString (loc $ resultObjectId x) .
-       showString "\n" .
-       showString tab .
-       showString label .
-       showString ":\n\n" .
-       showContents
-showResultSourceIndentedLabelled indent label loc (ResultSeparatorSource x) =
-  do let tab = replicate indent ' '
-     return $
-       showString tab .
-       showString label .
-       showString "\n\n"
-
--- | Show a localised text representation of the results by the specified source.
-showResultSource :: ResultLocalisation
-                    -- ^ a localisation
-                    -> ResultSourceShowS
-showResultSource = showResultSourceIndented 0
-
--- | Show in Russian a text representation of the results by the specified source.
-showResultSourceInRussian :: ResultSourceShowS
-showResultSourceInRussian = showResultSource russianResultLocalisation
-
--- | Show in English a text representation of the results by the specified source.
-showResultSourceInEnglish :: ResultSourceShowS
-showResultSourceInEnglish = showResultSource englishResultLocalisation
-
--- | Print the results with the information about the modeling time.
-printResultsWithTime :: ResultSourcePrint -> Results -> Event ()
-printResultsWithTime print results =
-  do let x1 = textResultSource "----------"
-         x2 = timeResultSource
-         x3 = textResultSource ""
-         xs = resultSourceList results
-     print x1
-     print x2
-     -- print x3
-     mapM_ print xs
-     -- print x3
-
--- | Print the simulation results in start time.
-printResultsInStartTime :: ResultSourcePrint -> Results -> Simulation ()
-printResultsInStartTime print results =
-  runEventInStartTime $ printResultsWithTime print results
-
--- | Print the simulation results in stop time.
-printResultsInStopTime :: ResultSourcePrint -> Results -> Simulation ()
-printResultsInStopTime print results =
-  runEventInStopTime $ printResultsWithTime print results
-
--- | Print the simulation results in the integration time points.
-printResultsInIntegTimes :: ResultSourcePrint -> Results -> Simulation ()
-printResultsInIntegTimes print results =
-  do let loop (m : ms) = m >> loop ms
-         loop [] = return ()
-     ms <- runDynamicsInIntegTimes $ runEvent $
-           printResultsWithTime print results
-     liftIO $ loop ms
-
--- | Print the simulation results in the specified time.
-printResultsInTime :: Double -> ResultSourcePrint -> Results -> Simulation ()
-printResultsInTime t print results =
-  runDynamicsInTime t $ runEvent $
-  printResultsWithTime print results
-
--- | Print the simulation results in the specified time points.
-printResultsInTimes :: [Double] -> ResultSourcePrint -> Results -> Simulation ()
-printResultsInTimes ts print results =
-  do let loop (m : ms) = m >> loop ms
-         loop [] = return ()
-     ms <- runDynamicsInTimes ts $ runEvent $
-           printResultsWithTime print results
-     liftIO $ loop ms
-
--- | Show the results with the information about the modeling time.
-showResultsWithTime :: ResultSourceShowS -> Results -> Event ShowS
-showResultsWithTime f results =
-  do let x1 = textResultSource "----------"
-         x2 = timeResultSource
-         x3 = textResultSource ""
-         xs = resultSourceList results
-     y1 <- f x1
-     y2 <- f x2
-     y3 <- f x3
-     ys <- forM xs f
-     return $
-       y1 .
-       y2 .
-       -- y3 .
-       foldr (.) id ys
-       -- y3
-
--- | Show the simulation results in start time.
-showResultsInStartTime :: ResultSourceShowS -> Results -> Simulation ShowS
-showResultsInStartTime f results =
-  runEventInStartTime $ showResultsWithTime f results
-
--- | Show the simulation results in stop time.
-showResultsInStopTime :: ResultSourceShowS -> Results -> Simulation ShowS
-showResultsInStopTime f results =
-  runEventInStopTime $ showResultsWithTime f results
-
--- | Show the simulation results in the integration time points.
---
--- It may consume much memory, for we have to traverse all the integration
--- points to create the resulting function within the 'Simulation' computation.
-showResultsInIntegTimes :: ResultSourceShowS -> Results -> Simulation ShowS
-showResultsInIntegTimes f results =
-  do let loop (m : ms) = return (.) `ap` m `ap` loop ms
-         loop [] = return id
-     ms <- runDynamicsInIntegTimes $ runEvent $
-           showResultsWithTime f results
-     liftIO $ loop ms
-
--- | Show the simulation results in the specified time point.
-showResultsInTime :: Double -> ResultSourceShowS -> Results -> Simulation ShowS
-showResultsInTime t f results =
-  runDynamicsInTime t $ runEvent $
-  showResultsWithTime f results
-
--- | Show the simulation results in the specified time points.
---
--- It may consume much memory, for we have to traverse all the specified
--- points to create the resulting function within the 'Simulation' computation.
-showResultsInTimes :: [Double] -> ResultSourceShowS -> Results -> Simulation ShowS
-showResultsInTimes ts f results =
-  do let loop (m : ms) = return (.) `ap` m `ap` loop ms
-         loop [] = return id
-     ms <- runDynamicsInTimes ts $ runEvent $
-           showResultsWithTime f results
-     liftIO $ loop ms
-
--- | Run the simulation and then print the results in the start time.
-printSimulationResultsInStartTime :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
-printSimulationResultsInStartTime print model specs =
-  flip runSimulation specs $
-  model >>= printResultsInStartTime print
-
--- | Run the simulation and then print the results in the final time.
-printSimulationResultsInStopTime :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
-printSimulationResultsInStopTime print model specs =
-  flip runSimulation specs $
-  model >>= printResultsInStopTime print
-
--- | Run the simulation and then print the results in the integration time points.
-printSimulationResultsInIntegTimes :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
-printSimulationResultsInIntegTimes print model specs =
-  flip runSimulation specs $
-  model >>= printResultsInIntegTimes print
-
--- | Run the simulation and then print the results in the specified time point.
-printSimulationResultsInTime :: Double -> ResultSourcePrint -> Simulation Results -> Specs -> IO ()
-printSimulationResultsInTime t print model specs =
-  flip runSimulation specs $
-  model >>= printResultsInTime t print
-
--- | Run the simulation and then print the results in the specified time points.
-printSimulationResultsInTimes :: [Double] -> ResultSourcePrint -> Simulation Results -> Specs -> IO ()
-printSimulationResultsInTimes ts print model specs =
-  flip runSimulation specs $
-  model >>= printResultsInTimes ts print
-
--- | Run the simulation and then show the results in the start time.
-showSimulationResultsInStartTime :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
-showSimulationResultsInStartTime f model specs =
-  flip runSimulation specs $
-  model >>= showResultsInStartTime f
-
--- | Run the simulation and then show the results in the final time.
-showSimulationResultsInStopTime :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
-showSimulationResultsInStopTime f model specs =
-  flip runSimulation specs $
-  model >>= showResultsInStopTime f
-
--- | Run the simulation and then show the results in the integration time points.
---
--- It may consume much memory, for we have to traverse all the integration
--- points to create the resulting function within the 'IO' computation.
-showSimulationResultsInIntegTimes :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
-showSimulationResultsInIntegTimes f model specs =
-  flip runSimulation specs $
-  model >>= showResultsInIntegTimes f
-
--- | Run the simulation and then show the results in the integration time point.
-showSimulationResultsInTime :: Double -> ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
-showSimulationResultsInTime t f model specs =
-  flip runSimulation specs $
-  model >>= showResultsInTime t f
-
--- | Run the simulation and then show the results in the specified time points.
---
--- It may consume much memory, for we have to traverse all the specified
--- points to create the resulting function within the 'IO' computation.
-showSimulationResultsInTimes :: [Double] -> ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
-showSimulationResultsInTimes ts f model specs =
-  flip runSimulation specs $
-  model >>= showResultsInTimes ts f
+
+-- |
+-- Module     : Simulation.Aivika.Results.IO
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module allows printing and converting the 'Simulation' 'Results' to a 'String'.
+--
+module Simulation.Aivika.Results.IO
+       (-- * Basic Types
+        ResultSourcePrint,
+        ResultSourceShowS,
+        -- * Printing the Results
+        printResultsWithTime,
+        printResultsInStartTime,
+        printResultsInStopTime,
+        printResultsInIntegTimes,
+        printResultsInTime,
+        printResultsInTimes,
+        -- * Simulating and Printing the Results
+        printSimulationResultsInStartTime,
+        printSimulationResultsInStopTime,
+        printSimulationResultsInIntegTimes,
+        printSimulationResultsInTime,
+        printSimulationResultsInTimes,
+        -- * Showing the Results
+        showResultsWithTime,
+        showResultsInStartTime,
+        showResultsInStopTime,
+        showResultsInIntegTimes,
+        showResultsInTime,
+        showResultsInTimes,
+        -- * Simulating and Showing the Results
+        showSimulationResultsInStartTime,
+        showSimulationResultsInStopTime,
+        showSimulationResultsInIntegTimes,
+        showSimulationResultsInTime,
+        showSimulationResultsInTimes,
+        -- * Printing the Result Source
+        hPrintResultSourceIndented,
+        hPrintResultSource,
+        hPrintResultSourceInRussian,
+        hPrintResultSourceInEnglish,
+        printResultSourceIndented,
+        printResultSource,
+        printResultSourceInRussian,
+        printResultSourceInEnglish,
+        -- * Showing the Result Source
+        showResultSourceIndented,
+        showResultSource,
+        showResultSourceInRussian,
+        showResultSourceInEnglish) where
+
+import Control.Monad
+import Control.Monad.Trans
+
+import qualified Data.Map as M
+import qualified Data.Array as A
+
+import System.IO
+
+import Simulation.Aivika.Specs
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Results
+import Simulation.Aivika.Results.Locale
+
+-- | This is a function that shows the simulation results within
+-- the 'Event' computation synchronized with the event queue.
+type ResultSourceShowS = ResultSource -> Event ShowS
+
+-- | This is a function that prints the simulation results within
+-- the 'Event' computation synchronized with the event queue.
+type ResultSourcePrint = ResultSource -> Event ()
+
+-- | Print a localised text representation of the results by the specified source
+-- and with the given indent.
+hPrintResultSourceIndented :: Handle
+                              -- ^ a handle
+                              -> Int
+                              -- ^ an indent
+                              -> ResultLocalisation
+                              -- ^ a localisation
+                              -> ResultSourcePrint
+hPrintResultSourceIndented h indent loc source@(ResultItemSource (ResultItem x)) =
+  hPrintResultSourceIndentedLabelled h indent (resultItemName x) loc source
+hPrintResultSourceIndented h indent loc source@(ResultVectorSource x) =
+  hPrintResultSourceIndentedLabelled h indent (resultVectorName x) loc source
+hPrintResultSourceIndented h indent loc source@(ResultObjectSource x) =
+  hPrintResultSourceIndentedLabelled h indent (resultObjectName x) loc source
+hPrintResultSourceIndented h indent loc source@(ResultSeparatorSource x) =
+  hPrintResultSourceIndentedLabelled h indent (resultSeparatorText x) loc source
+
+-- | Print an indented and labelled text representation of the results by
+-- the specified source.
+hPrintResultSourceIndentedLabelled :: Handle
+                                      -- ^ a handle
+                                      -> Int
+                                      -- ^ an indent
+                                      -> ResultName
+                                      -- ^ a label
+                                      -> ResultLocalisation
+                                      -- ^ a localisation
+                                      -> ResultSourcePrint
+hPrintResultSourceIndentedLabelled h indent label loc (ResultItemSource (ResultItem x)) =
+  case resultValueData (resultItemToStringValue x) of
+    Just m ->
+      do a <- m
+         let tab = replicate indent ' '
+         liftIO $
+           do hPutStr h tab
+              hPutStr h "-- "
+              hPutStr h (loc $ resultItemId x)
+              hPutStrLn h ""
+              hPutStr h tab
+              hPutStr h label
+              hPutStr h " = "
+              hPutStrLn h a
+              hPutStrLn h ""
+    _ ->
+      error $
+      "Expected to see a string value for variable " ++
+      (resultItemName x) ++ ": hPrintResultSourceIndentedLabelled"
+hPrintResultSourceIndentedLabelled h indent label loc (ResultVectorSource x) =
+  do let tab = replicate indent ' '
+     liftIO $
+       do hPutStr h tab
+          hPutStr h "-- "
+          hPutStr h (loc $ resultVectorId x)
+          hPutStrLn h ""
+          hPutStr h tab
+          hPutStr h label
+          hPutStrLn h ":"
+          hPutStrLn h ""
+     let items = A.elems (resultVectorItems x)
+         subscript = A.elems (resultVectorSubscript x)
+     forM_ (zip items subscript) $ \(i, s) ->
+       hPrintResultSourceIndentedLabelled h (indent + 2) (label ++ s) loc i
+hPrintResultSourceIndentedLabelled h indent label loc (ResultObjectSource x) =
+  do let tab = replicate indent ' '
+     liftIO $
+       do hPutStr h tab
+          hPutStr h "-- "
+          hPutStr h (loc $ resultObjectId x)
+          hPutStrLn h ""
+          hPutStr h tab
+          hPutStr h label
+          hPutStrLn h ":"
+          hPutStrLn h ""
+     forM_ (resultObjectProperties x) $ \p ->
+       do let indent' = 2 + indent
+              tab'    = "  " ++ tab
+              label'  = resultPropertyLabel p
+              source' = resultPropertySource p
+          hPrintResultSourceIndentedLabelled h indent' label' loc source'
+hPrintResultSourceIndentedLabelled h indent label loc (ResultSeparatorSource x) =
+  do let tab = replicate indent ' '
+     liftIO $
+       do hPutStr h tab
+          hPutStr h label
+          hPutStrLn h ""
+          hPutStrLn h ""
+
+-- | Print a localised text representation of the results by the specified source
+-- and with the given indent.
+printResultSourceIndented :: Int
+                             -- ^ an indent
+                             -> ResultLocalisation
+                             -- ^ a localisation
+                             -> ResultSourcePrint
+printResultSourceIndented = hPrintResultSourceIndented stdout
+
+-- | Print a localised text representation of the results by the specified source.
+hPrintResultSource :: Handle
+                      -- ^ a handle
+                      -> ResultLocalisation
+                      -- ^ a localisation
+                      -> ResultSourcePrint
+hPrintResultSource h = hPrintResultSourceIndented h 0
+
+-- | Print a localised text representation of the results by the specified source.
+printResultSource :: ResultLocalisation
+                     -- ^ a localisation
+                     -> ResultSourcePrint
+printResultSource = hPrintResultSource stdout
+
+-- | Print in Russian a text representation of the results by the specified source.
+hPrintResultSourceInRussian :: Handle -> ResultSourcePrint
+hPrintResultSourceInRussian h = hPrintResultSource h russianResultLocalisation
+
+-- | Print in English a text representation of the results by the specified source.
+hPrintResultSourceInEnglish :: Handle -> ResultSourcePrint
+hPrintResultSourceInEnglish h = hPrintResultSource h englishResultLocalisation
+
+-- | Print in Russian a text representation of the results by the specified source.
+printResultSourceInRussian :: ResultSourcePrint
+printResultSourceInRussian = hPrintResultSourceInRussian stdout
+
+-- | Print in English a text representation of the results by the specified source.
+printResultSourceInEnglish :: ResultSourcePrint
+printResultSourceInEnglish = hPrintResultSourceInEnglish stdout
+
+-- | Show a localised text representation of the results by the specified source
+-- and with the given indent.
+showResultSourceIndented :: Int
+                            -- ^ an indent
+                            -> ResultLocalisation
+                            -- ^ a localisation
+                            -> ResultSourceShowS
+showResultSourceIndented indent loc source@(ResultItemSource (ResultItem x)) =
+  showResultSourceIndentedLabelled indent (resultItemName x) loc source
+showResultSourceIndented indent loc source@(ResultVectorSource x) =
+  showResultSourceIndentedLabelled indent (resultVectorName x) loc source
+showResultSourceIndented indent loc source@(ResultObjectSource x) =
+  showResultSourceIndentedLabelled indent (resultObjectName x) loc source
+showResultSourceIndented indent loc source@(ResultSeparatorSource x) =
+  showResultSourceIndentedLabelled indent (resultSeparatorText x) loc source
+
+-- | Show an indented and labelled text representation of the results by the specified source.
+showResultSourceIndentedLabelled :: Int
+                                   -- ^ an indent
+                                   -> String
+                                   -- ^ a label
+                                   -> ResultLocalisation
+                                   -- ^ a localisation
+                                   -> ResultSourceShowS
+showResultSourceIndentedLabelled indent label loc (ResultItemSource (ResultItem x)) =
+  case resultValueData (resultItemToStringValue x) of
+    Just m ->
+      do a <- m
+         let tab = replicate indent ' '
+         return $
+           showString tab .
+           showString "-- " .
+           showString (loc $ resultItemId x) .
+           showString "\n" .
+           showString tab .
+           showString label .
+           showString " = " .
+           showString a .
+           showString "\n\n"
+    _ ->
+      error $
+      "Expected to see a string value for variable " ++
+      (resultItemName x) ++ ": showResultSourceIndentedLabelled"
+showResultSourceIndentedLabelled indent label loc (ResultVectorSource x) =
+  do let tab = replicate indent ' '
+         items = A.elems (resultVectorItems x)
+         subscript = A.elems (resultVectorSubscript x)
+     contents <-
+       forM (zip items subscript) $ \(i, s) ->
+       showResultSourceIndentedLabelled (indent + 2) (label ++ s) loc i
+     let showContents = foldr (.) id contents
+     return $
+       showString tab .
+       showString "-- " .
+       showString (loc $ resultVectorId x) .
+       showString "\n" .
+       showString tab .
+       showString label .
+       showString ":\n\n" .
+       showContents
+showResultSourceIndentedLabelled indent label loc (ResultObjectSource x) =
+  do let tab = replicate indent ' '
+     contents <-
+       forM (resultObjectProperties x) $ \p ->
+       do let indent' = 2 + indent
+              tab'    = "  " ++ tab
+              label'  = resultPropertyLabel p
+              output' = resultPropertySource p
+          showResultSourceIndentedLabelled indent' label' loc output'
+     let showContents = foldr (.) id contents
+     return $
+       showString tab .
+       showString "-- " .
+       showString (loc $ resultObjectId x) .
+       showString "\n" .
+       showString tab .
+       showString label .
+       showString ":\n\n" .
+       showContents
+showResultSourceIndentedLabelled indent label loc (ResultSeparatorSource x) =
+  do let tab = replicate indent ' '
+     return $
+       showString tab .
+       showString label .
+       showString "\n\n"
+
+-- | Show a localised text representation of the results by the specified source.
+showResultSource :: ResultLocalisation
+                    -- ^ a localisation
+                    -> ResultSourceShowS
+showResultSource = showResultSourceIndented 0
+
+-- | Show in Russian a text representation of the results by the specified source.
+showResultSourceInRussian :: ResultSourceShowS
+showResultSourceInRussian = showResultSource russianResultLocalisation
+
+-- | Show in English a text representation of the results by the specified source.
+showResultSourceInEnglish :: ResultSourceShowS
+showResultSourceInEnglish = showResultSource englishResultLocalisation
+
+-- | Print the results with the information about the modeling time.
+printResultsWithTime :: ResultSourcePrint -> Results -> Event ()
+printResultsWithTime print results =
+  do let x1 = textResultSource "----------"
+         x2 = timeResultSource
+         x3 = textResultSource ""
+         xs = resultSourceList results
+     print x1
+     print x2
+     -- print x3
+     mapM_ print xs
+     -- print x3
+
+-- | Print the simulation results in start time.
+printResultsInStartTime :: ResultSourcePrint -> Results -> Simulation ()
+printResultsInStartTime print results =
+  runEventInStartTime $ printResultsWithTime print results
+
+-- | Print the simulation results in stop time.
+printResultsInStopTime :: ResultSourcePrint -> Results -> Simulation ()
+printResultsInStopTime print results =
+  runEventInStopTime $ printResultsWithTime print results
+
+-- | Print the simulation results in the integration time points.
+printResultsInIntegTimes :: ResultSourcePrint -> Results -> Simulation ()
+printResultsInIntegTimes print results =
+  do let loop (m : ms) = m >> loop ms
+         loop [] = return ()
+     ms <- runDynamicsInIntegTimes $ runEvent $
+           printResultsWithTime print results
+     liftIO $ loop ms
+
+-- | Print the simulation results in the specified time.
+printResultsInTime :: Double -> ResultSourcePrint -> Results -> Simulation ()
+printResultsInTime t print results =
+  runDynamicsInTime t $ runEvent $
+  printResultsWithTime print results
+
+-- | Print the simulation results in the specified time points.
+printResultsInTimes :: [Double] -> ResultSourcePrint -> Results -> Simulation ()
+printResultsInTimes ts print results =
+  do let loop (m : ms) = m >> loop ms
+         loop [] = return ()
+     ms <- runDynamicsInTimes ts $ runEvent $
+           printResultsWithTime print results
+     liftIO $ loop ms
+
+-- | Show the results with the information about the modeling time.
+showResultsWithTime :: ResultSourceShowS -> Results -> Event ShowS
+showResultsWithTime f results =
+  do let x1 = textResultSource "----------"
+         x2 = timeResultSource
+         x3 = textResultSource ""
+         xs = resultSourceList results
+     y1 <- f x1
+     y2 <- f x2
+     y3 <- f x3
+     ys <- forM xs f
+     return $
+       y1 .
+       y2 .
+       -- y3 .
+       foldr (.) id ys
+       -- y3
+
+-- | Show the simulation results in start time.
+showResultsInStartTime :: ResultSourceShowS -> Results -> Simulation ShowS
+showResultsInStartTime f results =
+  runEventInStartTime $ showResultsWithTime f results
+
+-- | Show the simulation results in stop time.
+showResultsInStopTime :: ResultSourceShowS -> Results -> Simulation ShowS
+showResultsInStopTime f results =
+  runEventInStopTime $ showResultsWithTime f results
+
+-- | Show the simulation results in the integration time points.
+--
+-- It may consume much memory, for we have to traverse all the integration
+-- points to create the resulting function within the 'Simulation' computation.
+showResultsInIntegTimes :: ResultSourceShowS -> Results -> Simulation ShowS
+showResultsInIntegTimes f results =
+  do let loop (m : ms) = return (.) `ap` m `ap` loop ms
+         loop [] = return id
+     ms <- runDynamicsInIntegTimes $ runEvent $
+           showResultsWithTime f results
+     liftIO $ loop ms
+
+-- | Show the simulation results in the specified time point.
+showResultsInTime :: Double -> ResultSourceShowS -> Results -> Simulation ShowS
+showResultsInTime t f results =
+  runDynamicsInTime t $ runEvent $
+  showResultsWithTime f results
+
+-- | Show the simulation results in the specified time points.
+--
+-- It may consume much memory, for we have to traverse all the specified
+-- points to create the resulting function within the 'Simulation' computation.
+showResultsInTimes :: [Double] -> ResultSourceShowS -> Results -> Simulation ShowS
+showResultsInTimes ts f results =
+  do let loop (m : ms) = return (.) `ap` m `ap` loop ms
+         loop [] = return id
+     ms <- runDynamicsInTimes ts $ runEvent $
+           showResultsWithTime f results
+     liftIO $ loop ms
+
+-- | Run the simulation and then print the results in the start time.
+printSimulationResultsInStartTime :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
+printSimulationResultsInStartTime print model specs =
+  flip runSimulation specs $
+  model >>= printResultsInStartTime print
+
+-- | Run the simulation and then print the results in the final time.
+printSimulationResultsInStopTime :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
+printSimulationResultsInStopTime print model specs =
+  flip runSimulation specs $
+  model >>= printResultsInStopTime print
+
+-- | Run the simulation and then print the results in the integration time points.
+printSimulationResultsInIntegTimes :: ResultSourcePrint -> Simulation Results -> Specs -> IO ()
+printSimulationResultsInIntegTimes print model specs =
+  flip runSimulation specs $
+  model >>= printResultsInIntegTimes print
+
+-- | Run the simulation and then print the results in the specified time point.
+printSimulationResultsInTime :: Double -> ResultSourcePrint -> Simulation Results -> Specs -> IO ()
+printSimulationResultsInTime t print model specs =
+  flip runSimulation specs $
+  model >>= printResultsInTime t print
+
+-- | Run the simulation and then print the results in the specified time points.
+printSimulationResultsInTimes :: [Double] -> ResultSourcePrint -> Simulation Results -> Specs -> IO ()
+printSimulationResultsInTimes ts print model specs =
+  flip runSimulation specs $
+  model >>= printResultsInTimes ts print
+
+-- | Run the simulation and then show the results in the start time.
+showSimulationResultsInStartTime :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
+showSimulationResultsInStartTime f model specs =
+  flip runSimulation specs $
+  model >>= showResultsInStartTime f
+
+-- | Run the simulation and then show the results in the final time.
+showSimulationResultsInStopTime :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
+showSimulationResultsInStopTime f model specs =
+  flip runSimulation specs $
+  model >>= showResultsInStopTime f
+
+-- | Run the simulation and then show the results in the integration time points.
+--
+-- It may consume much memory, for we have to traverse all the integration
+-- points to create the resulting function within the 'IO' computation.
+showSimulationResultsInIntegTimes :: ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
+showSimulationResultsInIntegTimes f model specs =
+  flip runSimulation specs $
+  model >>= showResultsInIntegTimes f
+
+-- | Run the simulation and then show the results in the integration time point.
+showSimulationResultsInTime :: Double -> ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
+showSimulationResultsInTime t f model specs =
+  flip runSimulation specs $
+  model >>= showResultsInTime t f
+
+-- | Run the simulation and then show the results in the specified time points.
+--
+-- It may consume much memory, for we have to traverse all the specified
+-- points to create the resulting function within the 'IO' computation.
+showSimulationResultsInTimes :: [Double] -> ResultSourceShowS -> Simulation Results -> Specs -> IO ShowS
+showSimulationResultsInTimes ts f model specs =
+  flip runSimulation specs $
+  model >>= showResultsInTimes ts f
diff --git a/Simulation/Aivika/Results/Locale.hs b/Simulation/Aivika/Results/Locale.hs
--- a/Simulation/Aivika/Results/Locale.hs
+++ b/Simulation/Aivika/Results/Locale.hs
@@ -1,339 +1,340 @@
-
--- |
--- Module     : Simulation.Aivika.Results.Locale
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- The module defines locales for outputting and printing the simulation results.
---
-module Simulation.Aivika.Results.Locale
-       (-- * Basic Types
-        ResultLocale,
-        ResultLocalisation,
-        ResultDescription,
-        -- * Locale Codes
-        russianResultLocale,
-        englishResultLocale,
-        -- * Localisations
-        lookupResultLocalisation,
-        russianResultLocalisation,
-        englishResultLocalisation,
-        -- * Unique Identifiers
-        ResultId(..)) where
-
-import qualified Data.Map as M
-
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Statistics.Accumulator
-import qualified Simulation.Aivika.Queue as Q
-import qualified Simulation.Aivika.Queue.Infinite as IQ
-import Simulation.Aivika.Arrival
-import Simulation.Aivika.Server
-
--- | A locale to output the simulation results.
---
--- Examples are: @\"ru\", @\"en\" etc.
-type ResultLocale = String
-
--- | It localises the description of simulation results.
-type ResultLocalisation = ResultId -> ResultDescription
-
--- | A description used for describing the results when generating output.
-type ResultDescription = String
-
--- | The result entity identifier.
-data ResultId = TimeId
-                -- ^ A 'time' computation.
-              | VectorId
-                -- ^ Describes a vector.
-              | VectorItemId String
-                -- ^ Describes a vector item with the specified subscript.
-              | SamplingStatsId
-                -- ^ A 'SamplingStats' value.
-              | SamplingStatsCountId
-                -- ^ Property 'samplingStatsCount'.
-              | SamplingStatsMinId
-                -- ^ Property 'samplingStatsMin'.
-              | SamplingStatsMaxId
-                -- ^ Property 'samplingStatsMax'.
-              | SamplingStatsMeanId
-                -- ^ Property 'samplingStatsMean'.
-              | SamplingStatsMean2Id
-                -- ^ Property 'samplingStatsMean2'.
-              | SamplingStatsVarianceId
-                -- ^ Property 'samplingStatsVariance'.
-              | SamplingStatsDeviationId
-                -- ^ Property 'samplingStatsDeviation'.
-              | TimingStatsId
-                -- ^ A 'TimingStats' value.
-              | TimingStatsCountId
-                -- ^ Property 'timingStatsCount'.
-              | TimingStatsMinId
-                -- ^ Property 'timingStatsMin'.
-              | TimingStatsMaxId
-                -- ^ Property 'timingStatsMax'.
-              | TimingStatsMeanId
-                -- ^ Property 'timingStatsMean'.
-              | TimingStatsVarianceId
-                -- ^ Property 'timingStatsVariance'.
-              | TimingStatsDeviationId
-                -- ^ Property 'timingStatsDeviation'.
-              | TimingStatsMinTimeId
-                -- ^ Property 'timingStatsMinTime'.
-              | TimingStatsMaxTimeId
-                -- ^ Property 'timingStatsMaxTime'.
-              | TimingStatsStartTimeId
-                -- ^ Property 'timingStatsStartTime'.
-              | TimingStatsLastTimeId
-                -- ^ Property 'timingStatsLastTime'.
-              | TimingStatsSumId
-                -- ^ Property 'timingStatsSum'.
-              | TimingStatsSum2Id
-                -- ^ Property 'timingStatsSum2'.
-              | FiniteQueueId
-                -- ^ A finite 'Q.Queue'.
-              | InfiniteQueueId
-                -- ^ An infinite 'IQ.Queue'.
-              | EnqueueStrategyId
-                -- ^ Property 'Q.enqueueStrategy'.
-              | EnqueueStoringStrategyId
-                -- ^ Property 'Q.enqueueStoringStrategy'.
-              | DequeueStrategyId
-                -- ^ Property 'Q.dequeueStrategy'.
-              | QueueNullId
-                -- ^ Property 'Q.queueNull'.
-              | QueueFullId
-                -- ^ Property 'Q.queueFull'.
-              | QueueMaxCountId
-                -- ^ Property 'Q.queueMaxCount'.
-              | QueueCountId
-                -- ^ Property 'Q.queueCount'.
-              | QueueCountStatsId
-                -- ^ Property 'Q.queueCountStats'.
-              | EnqueueCountId
-                -- ^ Property 'Q.enqueueCount'.
-              | EnqueueLostCountId
-                -- ^ Property 'Q.enqueueLostCount'.
-              | EnqueueStoreCountId
-                -- ^ Property 'Q.enqueueStoreCount'.
-              | DequeueCountId
-                -- ^ Property 'Q.dequeueCount'.
-              | DequeueExtractCountId
-                -- ^ Property 'Q.dequeueExtractCount'.
-              | QueueLoadFactorId
-                -- ^ Property 'Q.queueLoadFactor'.
-              | EnqueueRateId
-                -- ^ Property 'Q.enqueueRate'.
-              | EnqueueStoreRateId
-                -- ^ Property 'Q.enqueueStoreRate'.
-              | DequeueRateId
-                -- ^ Property 'Q.dequeueRate'.
-              | DequeueExtractRateId
-                -- ^ Property 'Q.dequeueExtractRate'.
-              | QueueWaitTimeId
-                -- ^ Property 'Q.queueWaitTime'.
-              | QueueTotalWaitTimeId
-                -- ^ Property 'Q.queueTotalWaitTime'.
-              | EnqueueWaitTimeId
-                -- ^ Property 'Q.enqueueWaitTime'.
-              | DequeueWaitTimeId
-                -- ^ Property 'Q.dequeueWaitTime'.
-              | QueueRateId
-                -- ^ Property 'Q.queueRate'.
-              | ArrivalTimerId
-                -- ^ An 'ArrivalTimer'.
-              | ArrivalProcessingTimeId
-                -- ^ Property 'arrivalProcessingTime'.
-              | ServerId
-                -- ^ Represents a 'Server'.
-              | ServerInitStateId
-                -- ^ Property 'serverInitState'.
-              | ServerStateId
-                -- ^ Property 'serverState'.
-              | ServerTotalInputWaitTimeId
-                -- ^ Property 'serverTotalInputWaitTime'.
-              | ServerTotalProcessingTimeId
-                -- ^ Property 'serverTotalProcessingTime'.
-              | ServerTotalOutputWaitTimeId
-                -- ^ Property 'serverTotalOutputWaitTime'.
-              | ServerInputWaitTimeId
-                -- ^ Property 'serverInputWaitTime'.
-              | ServerProcessingTimeId
-                -- ^ Property 'serverProcessingTime'.
-              | ServerOutputWaitTimeId
-                -- ^ Property 'serverOutputWaitTime'.
-              | ServerInputWaitFactorId
-                -- ^ Property 'serverInputWaitFactor'.
-              | ServerProcessingFactorId
-                -- ^ Property 'serverProcessingFactor'.
-              | ServerOutputWaitFactorId
-                -- ^ Property 'serverOutputWaitFactor'.
-              | UserDefinedResultId ResultDescription
-                -- ^ An user defined description.
-              | LocalisedResultId (M.Map ResultLocale ResultDescription)
-                -- ^ A localised property or object name.
-
--- | The Russian locale.
-russianResultLocale :: ResultLocale
-russianResultLocale = "ru"
-
--- | The English locale.
-englishResultLocale :: ResultLocale
-englishResultLocale = "en"
-
--- | The Russian localisation of the simulation results.
-russianResultLocalisation :: ResultLocalisation
-russianResultLocalisation TimeId = "модельное время"
-russianResultLocalisation VectorId = "вектор"
-russianResultLocalisation (VectorItemId x) = "элемент с индексом " ++ x
-russianResultLocalisation SamplingStatsId = "сводная статистика"
-russianResultLocalisation SamplingStatsCountId = "количество"
-russianResultLocalisation SamplingStatsMinId = "минимальное значение"
-russianResultLocalisation SamplingStatsMaxId = "максимальное значение"
-russianResultLocalisation SamplingStatsMeanId = "среднее значение"
-russianResultLocalisation SamplingStatsMean2Id = "среднее квадратов"
-russianResultLocalisation SamplingStatsVarianceId = "дисперсия"
-russianResultLocalisation SamplingStatsDeviationId = "среднеквадратическое отклонение"
-russianResultLocalisation TimingStatsId = "временная статистика"
-russianResultLocalisation TimingStatsCountId = "количество"
-russianResultLocalisation TimingStatsMinId = "минимальное значение"
-russianResultLocalisation TimingStatsMaxId = "максимальное значение"
-russianResultLocalisation TimingStatsMeanId = "среднее значение"
-russianResultLocalisation TimingStatsVarianceId = "дисперсия"
-russianResultLocalisation TimingStatsDeviationId = "среднеквадратическое отклонение"
-russianResultLocalisation TimingStatsMinTimeId = "время достижения минимума"
-russianResultLocalisation TimingStatsMaxTimeId = "время достижения максимума"
-russianResultLocalisation TimingStatsStartTimeId = "начальное время сбора статистики"
-russianResultLocalisation TimingStatsLastTimeId = "конечное время сбора статистики"
-russianResultLocalisation TimingStatsSumId = "сумма"
-russianResultLocalisation TimingStatsSum2Id = "сумма квадратов"
-russianResultLocalisation FiniteQueueId = "конечная очередь"
-russianResultLocalisation InfiniteQueueId = "бесконечная очередь"
-russianResultLocalisation EnqueueStrategyId = "стратегия добавления элементов"
-russianResultLocalisation EnqueueStoringStrategyId = "стратегия хранения элементов"
-russianResultLocalisation DequeueStrategyId = "стратегия извлечения элементов"
-russianResultLocalisation QueueNullId = "очередь пуста?"
-russianResultLocalisation QueueFullId = "очередь заполнена?"
-russianResultLocalisation QueueMaxCountId = "емкость очереди"
-russianResultLocalisation QueueCountId = "текущий размер очереди"
-russianResultLocalisation QueueCountStatsId = "статистика по размеру очереди"
-russianResultLocalisation EnqueueCountId = "общее количество попыток добавить элементы"
-russianResultLocalisation EnqueueLostCountId = "общее количество неудачных попыток добавить элементы"
-russianResultLocalisation EnqueueStoreCountId = "общее количество сохраненных элементов"
-russianResultLocalisation DequeueCountId = "общее количество запросов на извлечение элементов"
-russianResultLocalisation DequeueExtractCountId = "общее количество извлеченных элементов"
-russianResultLocalisation QueueLoadFactorId = "коэфф. загрузки (размер, поделенный на емкость)"
-russianResultLocalisation EnqueueRateId = "количество попыток добавить на ед. времени"
-russianResultLocalisation EnqueueStoreRateId = "количество сохраненных на ед. времени"
-russianResultLocalisation DequeueRateId = "количество запросов на извлечение в ед. времени"
-russianResultLocalisation DequeueExtractRateId = "количество извлеченных на ед. времени"
-russianResultLocalisation QueueWaitTimeId = "время ожидания (сохранили -> извлекли)"
-russianResultLocalisation QueueTotalWaitTimeId = "общее время ожидания (попытались добавить -> извлекли)"
-russianResultLocalisation EnqueueWaitTimeId = "время ожидания добавления (попытались добавить -> сохранили)"
-russianResultLocalisation DequeueWaitTimeId = "время ожидания извлечения (запросили извлечь -> извлекли)"
-russianResultLocalisation QueueRateId = "усредненная скорость (как средняя длина очереди на среднее время ожидания)"
-russianResultLocalisation ArrivalTimerId = "как долго обрабатываются заявки?"
-russianResultLocalisation ArrivalProcessingTimeId = "время обработки заявки"
-russianResultLocalisation ServerId = "сервер"
-russianResultLocalisation ServerInitStateId = "начальное состояние"
-russianResultLocalisation ServerStateId = "текущее состояние"
-russianResultLocalisation ServerTotalInputWaitTimeId = "общее время блокировки в ожидании ввода"
-russianResultLocalisation ServerTotalProcessingTimeId = "общее время, потраченное на саму обработку заданий"
-russianResultLocalisation ServerTotalOutputWaitTimeId = "общее время блокировки при попытке доставить вывод"
-russianResultLocalisation ServerInputWaitTimeId = "время блокировки в ожидании ввода"
-russianResultLocalisation ServerProcessingTimeId = "время, потраченное на саму обработку заданий"
-russianResultLocalisation ServerOutputWaitTimeId = "время блокировки при попытке доставить вывод"
-russianResultLocalisation ServerInputWaitFactorId = "относительное время блокировки в ожидании ввода (от 0 до 1)"
-russianResultLocalisation ServerProcessingFactorId = "относительное время, потраченное на саму обработку заданий (от 0 до 1)"
-russianResultLocalisation ServerOutputWaitFactorId = "относительное время блокировки при попытке доставить вывод (от 0 до 1)"
-russianResultLocalisation (UserDefinedResultId m) = m
-russianResultLocalisation x@(LocalisedResultId m) =
-  lookupResultLocalisation russianResultLocale x
-
--- | The English localisation of the simulation results.
-englishResultLocalisation :: ResultLocalisation
-englishResultLocalisation TimeId = "simulation time"
-englishResultLocalisation VectorId = "vector"
-englishResultLocalisation (VectorItemId x) = "item #" ++ x
-englishResultLocalisation SamplingStatsId = "statistics summary"
-englishResultLocalisation SamplingStatsCountId = "count"
-englishResultLocalisation SamplingStatsMinId = "minimum"
-englishResultLocalisation SamplingStatsMaxId = "maximum"
-englishResultLocalisation SamplingStatsMeanId = "mean"
-englishResultLocalisation SamplingStatsMean2Id = "mean square"
-englishResultLocalisation SamplingStatsVarianceId = "variance"
-englishResultLocalisation SamplingStatsDeviationId = "deviation"
-englishResultLocalisation TimingStatsId = "timing statistics"
-englishResultLocalisation TimingStatsCountId = "count"
-englishResultLocalisation TimingStatsMinId = "minimum"
-englishResultLocalisation TimingStatsMaxId = "maximum"
-englishResultLocalisation TimingStatsMeanId = "mean"
-englishResultLocalisation TimingStatsVarianceId = "variance"
-englishResultLocalisation TimingStatsDeviationId = "deviation"
-englishResultLocalisation TimingStatsMinTimeId = "the time of minimum"
-englishResultLocalisation TimingStatsMaxTimeId = "the time of maximum"
-englishResultLocalisation TimingStatsStartTimeId = "the start time"
-englishResultLocalisation TimingStatsLastTimeId = "the last time"
-englishResultLocalisation TimingStatsSumId = "sum"
-englishResultLocalisation TimingStatsSum2Id = "sum square"
-englishResultLocalisation FiniteQueueId = "the finite queue"
-englishResultLocalisation InfiniteQueueId = "the infinite queue"
-englishResultLocalisation EnqueueStrategyId = "the enqueueing strategy"
-englishResultLocalisation EnqueueStoringStrategyId = "the storing strategy"
-englishResultLocalisation DequeueStrategyId = "the dequeueing strategy"
-englishResultLocalisation QueueNullId = "is the queue empty?"
-englishResultLocalisation QueueFullId = "is the queue full?"
-englishResultLocalisation QueueMaxCountId = "the queue capacity"
-englishResultLocalisation QueueCountId = "the current queue size"
-englishResultLocalisation QueueCountStatsId = "the queue size statistics"
-englishResultLocalisation EnqueueCountId = "a total number of attempts to enqueue the items"
-englishResultLocalisation EnqueueLostCountId = "a total number of the lost items when trying to enqueue"
-englishResultLocalisation EnqueueStoreCountId = "a total number of the stored items"
-englishResultLocalisation DequeueCountId = "a total number of requests for dequeueing"
-englishResultLocalisation DequeueExtractCountId = "a total number of the dequeued items"
-englishResultLocalisation QueueLoadFactorId = "the queue load (its size divided by its capacity)"
-englishResultLocalisation EnqueueRateId = "how many attempts to enqueue per time?"
-englishResultLocalisation EnqueueStoreRateId = "how many items were stored per time?"
-englishResultLocalisation DequeueRateId = "how many requests for dequeueing per time?"
-englishResultLocalisation DequeueExtractRateId = "how many items were dequeued per time?"
-englishResultLocalisation QueueWaitTimeId = "the wait time (stored -> dequeued)"
-englishResultLocalisation QueueTotalWaitTimeId = "the total wait time (tried to enqueue -> dequeued)"
-englishResultLocalisation EnqueueWaitTimeId = "the enqueue wait time (tried to enqueue -> stored)"
-englishResultLocalisation DequeueWaitTimeId = "the dequeue wait time (requested for dequeueing -> dequeued)"
-englishResultLocalisation QueueRateId = "the average queue rate (= queue size / wait time)"
-englishResultLocalisation ArrivalTimerId = "how long the arrivals are processed?"
-englishResultLocalisation ArrivalProcessingTimeId = "the processing time of arrivals"
-englishResultLocalisation ServerId = "the server"
-englishResultLocalisation ServerInitStateId = "the initial state"
-englishResultLocalisation ServerStateId = "the current state"
-englishResultLocalisation ServerTotalInputWaitTimeId = "the total time spent while waiting for input"
-englishResultLocalisation ServerTotalProcessingTimeId = "the total time spent on actual processing the tasks"
-englishResultLocalisation ServerTotalOutputWaitTimeId = "the total time spent on delivering the output"
-englishResultLocalisation ServerInputWaitTimeId = "the time spent while waiting for input"
-englishResultLocalisation ServerProcessingTimeId = "the time spent on processing the tasks"
-englishResultLocalisation ServerOutputWaitTimeId = "the time spent on delivering the output"
-englishResultLocalisation ServerInputWaitFactorId = "the relative time spent while waiting for input (from 0 to 1)"
-englishResultLocalisation ServerProcessingFactorId = "the relative time spent on processing the tasks (from 0 to 1)"
-englishResultLocalisation ServerOutputWaitFactorId = "the relative time spent on delivering the output (from 0 to 1)"
-englishResultLocalisation (UserDefinedResultId m) = m
-englishResultLocalisation x@(LocalisedResultId m) =
-  lookupResultLocalisation englishResultLocale x
-
--- | Lookup a localisation by the specified locale.
-lookupResultLocalisation :: ResultLocale -> ResultLocalisation
-lookupResultLocalisation loc (UserDefinedResultId m) = m
-lookupResultLocalisation loc (LocalisedResultId m) =
-  case M.lookup loc m of
-    Just x -> x
-    Nothing ->
-      case M.lookup russianResultLocale m of
-        Just x -> x
-        Nothing ->
-          case M.lookup englishResultLocale m of
-            Just x -> x
-            Nothing -> ""
-lookupResultLocalisation loc resultId = russianResultLocalisation resultId
+
+-- |
+-- Module     : Simulation.Aivika.Results.Locale
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines locales for outputting and printing the simulation results.
+--
+module Simulation.Aivika.Results.Locale
+       (-- * Basic Types
+        ResultLocale,
+        ResultLocalisation,
+        ResultDescription,
+        -- * Locale Codes
+        russianResultLocale,
+        englishResultLocale,
+        -- * Localisations
+        lookupResultLocalisation,
+        russianResultLocalisation,
+        englishResultLocalisation,
+        -- * Unique Identifiers
+        ResultId(..)) where
+
+import qualified Data.Map as M
+
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Statistics.Accumulator
+import qualified Simulation.Aivika.Queue as Q
+import qualified Simulation.Aivika.Queue.Infinite as IQ
+import Simulation.Aivika.Arrival
+import Simulation.Aivika.Server
+
+-- | A locale to output the simulation results.
+--
+-- Examples are: @\"ru\", @\"en\" etc.
+type ResultLocale = String
+
+-- | It localises the description of simulation results.
+type ResultLocalisation = ResultId -> ResultDescription
+
+-- | A description used for describing the results when generating output.
+type ResultDescription = String
+
+-- | The result entity identifier.
+data ResultId = TimeId
+                -- ^ A 'time' computation.
+              | VectorId
+                -- ^ Describes a vector.
+              | VectorItemId String
+                -- ^ Describes a vector item with the specified subscript.
+              | SamplingStatsId
+                -- ^ A 'SamplingStats' value.
+              | SamplingStatsCountId
+                -- ^ Property 'samplingStatsCount'.
+              | SamplingStatsMinId
+                -- ^ Property 'samplingStatsMin'.
+              | SamplingStatsMaxId
+                -- ^ Property 'samplingStatsMax'.
+              | SamplingStatsMeanId
+                -- ^ Property 'samplingStatsMean'.
+              | SamplingStatsMean2Id
+                -- ^ Property 'samplingStatsMean2'.
+              | SamplingStatsVarianceId
+                -- ^ Property 'samplingStatsVariance'.
+              | SamplingStatsDeviationId
+                -- ^ Property 'samplingStatsDeviation'.
+              | TimingStatsId
+                -- ^ A 'TimingStats' value.
+              | TimingStatsCountId
+                -- ^ Property 'timingStatsCount'.
+              | TimingStatsMinId
+                -- ^ Property 'timingStatsMin'.
+              | TimingStatsMaxId
+                -- ^ Property 'timingStatsMax'.
+              | TimingStatsMeanId
+                -- ^ Property 'timingStatsMean'.
+              | TimingStatsVarianceId
+                -- ^ Property 'timingStatsVariance'.
+              | TimingStatsDeviationId
+                -- ^ Property 'timingStatsDeviation'.
+              | TimingStatsMinTimeId
+                -- ^ Property 'timingStatsMinTime'.
+              | TimingStatsMaxTimeId
+                -- ^ Property 'timingStatsMaxTime'.
+              | TimingStatsStartTimeId
+                -- ^ Property 'timingStatsStartTime'.
+              | TimingStatsLastTimeId
+                -- ^ Property 'timingStatsLastTime'.
+              | TimingStatsSumId
+                -- ^ Property 'timingStatsSum'.
+              | TimingStatsSum2Id
+                -- ^ Property 'timingStatsSum2'.
+              | FiniteQueueId
+                -- ^ A finite 'Q.Queue'.
+              | InfiniteQueueId
+                -- ^ An infinite 'IQ.Queue'.
+              | EnqueueStrategyId
+                -- ^ Property 'Q.enqueueStrategy'.
+              | EnqueueStoringStrategyId
+                -- ^ Property 'Q.enqueueStoringStrategy'.
+              | DequeueStrategyId
+                -- ^ Property 'Q.dequeueStrategy'.
+              | QueueNullId
+                -- ^ Property 'Q.queueNull'.
+              | QueueFullId
+                -- ^ Property 'Q.queueFull'.
+              | QueueMaxCountId
+                -- ^ Property 'Q.queueMaxCount'.
+              | QueueCountId
+                -- ^ Property 'Q.queueCount'.
+              | QueueCountStatsId
+                -- ^ Property 'Q.queueCountStats'.
+              | EnqueueCountId
+                -- ^ Property 'Q.enqueueCount'.
+              | EnqueueLostCountId
+                -- ^ Property 'Q.enqueueLostCount'.
+              | EnqueueStoreCountId
+                -- ^ Property 'Q.enqueueStoreCount'.
+              | DequeueCountId
+                -- ^ Property 'Q.dequeueCount'.
+              | DequeueExtractCountId
+                -- ^ Property 'Q.dequeueExtractCount'.
+              | QueueLoadFactorId
+                -- ^ Property 'Q.queueLoadFactor'.
+              | EnqueueRateId
+                -- ^ Property 'Q.enqueueRate'.
+              | EnqueueStoreRateId
+                -- ^ Property 'Q.enqueueStoreRate'.
+              | DequeueRateId
+                -- ^ Property 'Q.dequeueRate'.
+              | DequeueExtractRateId
+                -- ^ Property 'Q.dequeueExtractRate'.
+              | QueueWaitTimeId
+                -- ^ Property 'Q.queueWaitTime'.
+              | QueueTotalWaitTimeId
+                -- ^ Property 'Q.queueTotalWaitTime'.
+              | EnqueueWaitTimeId
+                -- ^ Property 'Q.enqueueWaitTime'.
+              | DequeueWaitTimeId
+                -- ^ Property 'Q.dequeueWaitTime'.
+              | QueueRateId
+                -- ^ Property 'Q.queueRate'.
+              | ArrivalTimerId
+                -- ^ An 'ArrivalTimer'.
+              | ArrivalProcessingTimeId
+                -- ^ Property 'arrivalProcessingTime'.
+              | ServerId
+                -- ^ Represents a 'Server'.
+              | ServerInitStateId
+                -- ^ Property 'serverInitState'.
+              | ServerStateId
+                -- ^ Property 'serverState'.
+              | ServerTotalInputWaitTimeId
+                -- ^ Property 'serverTotalInputWaitTime'.
+              | ServerTotalProcessingTimeId
+                -- ^ Property 'serverTotalProcessingTime'.
+              | ServerTotalOutputWaitTimeId
+                -- ^ Property 'serverTotalOutputWaitTime'.
+              | ServerInputWaitTimeId
+                -- ^ Property 'serverInputWaitTime'.
+              | ServerProcessingTimeId
+                -- ^ Property 'serverProcessingTime'.
+              | ServerOutputWaitTimeId
+                -- ^ Property 'serverOutputWaitTime'.
+              | ServerInputWaitFactorId
+                -- ^ Property 'serverInputWaitFactor'.
+              | ServerProcessingFactorId
+                -- ^ Property 'serverProcessingFactor'.
+              | ServerOutputWaitFactorId
+                -- ^ Property 'serverOutputWaitFactor'.
+              | UserDefinedResultId ResultDescription
+                -- ^ An user defined description.
+              | LocalisedResultId (M.Map ResultLocale ResultDescription)
+                -- ^ A localised property or object name.
+              deriving (Eq, Ord, Show)
+
+-- | The Russian locale.
+russianResultLocale :: ResultLocale
+russianResultLocale = "ru"
+
+-- | The English locale.
+englishResultLocale :: ResultLocale
+englishResultLocale = "en"
+
+-- | The Russian localisation of the simulation results.
+russianResultLocalisation :: ResultLocalisation
+russianResultLocalisation TimeId = "модельное время"
+russianResultLocalisation VectorId = "вектор"
+russianResultLocalisation (VectorItemId x) = "элемент с индексом " ++ x
+russianResultLocalisation SamplingStatsId = "сводная статистика"
+russianResultLocalisation SamplingStatsCountId = "количество"
+russianResultLocalisation SamplingStatsMinId = "минимальное значение"
+russianResultLocalisation SamplingStatsMaxId = "максимальное значение"
+russianResultLocalisation SamplingStatsMeanId = "среднее значение"
+russianResultLocalisation SamplingStatsMean2Id = "среднее квадратов"
+russianResultLocalisation SamplingStatsVarianceId = "дисперсия"
+russianResultLocalisation SamplingStatsDeviationId = "среднеквадратическое отклонение"
+russianResultLocalisation TimingStatsId = "временная статистика"
+russianResultLocalisation TimingStatsCountId = "количество"
+russianResultLocalisation TimingStatsMinId = "минимальное значение"
+russianResultLocalisation TimingStatsMaxId = "максимальное значение"
+russianResultLocalisation TimingStatsMeanId = "среднее значение"
+russianResultLocalisation TimingStatsVarianceId = "дисперсия"
+russianResultLocalisation TimingStatsDeviationId = "среднеквадратическое отклонение"
+russianResultLocalisation TimingStatsMinTimeId = "время достижения минимума"
+russianResultLocalisation TimingStatsMaxTimeId = "время достижения максимума"
+russianResultLocalisation TimingStatsStartTimeId = "начальное время сбора статистики"
+russianResultLocalisation TimingStatsLastTimeId = "конечное время сбора статистики"
+russianResultLocalisation TimingStatsSumId = "сумма"
+russianResultLocalisation TimingStatsSum2Id = "сумма квадратов"
+russianResultLocalisation FiniteQueueId = "конечная очередь"
+russianResultLocalisation InfiniteQueueId = "бесконечная очередь"
+russianResultLocalisation EnqueueStrategyId = "стратегия добавления элементов"
+russianResultLocalisation EnqueueStoringStrategyId = "стратегия хранения элементов"
+russianResultLocalisation DequeueStrategyId = "стратегия извлечения элементов"
+russianResultLocalisation QueueNullId = "очередь пуста?"
+russianResultLocalisation QueueFullId = "очередь заполнена?"
+russianResultLocalisation QueueMaxCountId = "емкость очереди"
+russianResultLocalisation QueueCountId = "текущий размер очереди"
+russianResultLocalisation QueueCountStatsId = "статистика по размеру очереди"
+russianResultLocalisation EnqueueCountId = "общее количество попыток добавить элементы"
+russianResultLocalisation EnqueueLostCountId = "общее количество неудачных попыток добавить элементы"
+russianResultLocalisation EnqueueStoreCountId = "общее количество сохраненных элементов"
+russianResultLocalisation DequeueCountId = "общее количество запросов на извлечение элементов"
+russianResultLocalisation DequeueExtractCountId = "общее количество извлеченных элементов"
+russianResultLocalisation QueueLoadFactorId = "коэфф. загрузки (размер, поделенный на емкость)"
+russianResultLocalisation EnqueueRateId = "количество попыток добавить на ед. времени"
+russianResultLocalisation EnqueueStoreRateId = "количество сохраненных на ед. времени"
+russianResultLocalisation DequeueRateId = "количество запросов на извлечение в ед. времени"
+russianResultLocalisation DequeueExtractRateId = "количество извлеченных на ед. времени"
+russianResultLocalisation QueueWaitTimeId = "время ожидания (сохранили -> извлекли)"
+russianResultLocalisation QueueTotalWaitTimeId = "общее время ожидания (попытались добавить -> извлекли)"
+russianResultLocalisation EnqueueWaitTimeId = "время ожидания добавления (попытались добавить -> сохранили)"
+russianResultLocalisation DequeueWaitTimeId = "время ожидания извлечения (запросили извлечь -> извлекли)"
+russianResultLocalisation QueueRateId = "усредненная скорость (как средняя длина очереди на среднее время ожидания)"
+russianResultLocalisation ArrivalTimerId = "как долго обрабатываются заявки?"
+russianResultLocalisation ArrivalProcessingTimeId = "время обработки заявки"
+russianResultLocalisation ServerId = "сервер"
+russianResultLocalisation ServerInitStateId = "начальное состояние"
+russianResultLocalisation ServerStateId = "текущее состояние"
+russianResultLocalisation ServerTotalInputWaitTimeId = "общее время блокировки в ожидании ввода"
+russianResultLocalisation ServerTotalProcessingTimeId = "общее время, потраченное на саму обработку заданий"
+russianResultLocalisation ServerTotalOutputWaitTimeId = "общее время блокировки при попытке доставить вывод"
+russianResultLocalisation ServerInputWaitTimeId = "время блокировки в ожидании ввода"
+russianResultLocalisation ServerProcessingTimeId = "время, потраченное на саму обработку заданий"
+russianResultLocalisation ServerOutputWaitTimeId = "время блокировки при попытке доставить вывод"
+russianResultLocalisation ServerInputWaitFactorId = "относительное время блокировки в ожидании ввода (от 0 до 1)"
+russianResultLocalisation ServerProcessingFactorId = "относительное время, потраченное на саму обработку заданий (от 0 до 1)"
+russianResultLocalisation ServerOutputWaitFactorId = "относительное время блокировки при попытке доставить вывод (от 0 до 1)"
+russianResultLocalisation (UserDefinedResultId m) = m
+russianResultLocalisation x@(LocalisedResultId m) =
+  lookupResultLocalisation russianResultLocale x
+
+-- | The English localisation of the simulation results.
+englishResultLocalisation :: ResultLocalisation
+englishResultLocalisation TimeId = "simulation time"
+englishResultLocalisation VectorId = "vector"
+englishResultLocalisation (VectorItemId x) = "item #" ++ x
+englishResultLocalisation SamplingStatsId = "statistics summary"
+englishResultLocalisation SamplingStatsCountId = "count"
+englishResultLocalisation SamplingStatsMinId = "minimum"
+englishResultLocalisation SamplingStatsMaxId = "maximum"
+englishResultLocalisation SamplingStatsMeanId = "mean"
+englishResultLocalisation SamplingStatsMean2Id = "mean square"
+englishResultLocalisation SamplingStatsVarianceId = "variance"
+englishResultLocalisation SamplingStatsDeviationId = "deviation"
+englishResultLocalisation TimingStatsId = "timing statistics"
+englishResultLocalisation TimingStatsCountId = "count"
+englishResultLocalisation TimingStatsMinId = "minimum"
+englishResultLocalisation TimingStatsMaxId = "maximum"
+englishResultLocalisation TimingStatsMeanId = "mean"
+englishResultLocalisation TimingStatsVarianceId = "variance"
+englishResultLocalisation TimingStatsDeviationId = "deviation"
+englishResultLocalisation TimingStatsMinTimeId = "the time of minimum"
+englishResultLocalisation TimingStatsMaxTimeId = "the time of maximum"
+englishResultLocalisation TimingStatsStartTimeId = "the start time"
+englishResultLocalisation TimingStatsLastTimeId = "the last time"
+englishResultLocalisation TimingStatsSumId = "sum"
+englishResultLocalisation TimingStatsSum2Id = "sum square"
+englishResultLocalisation FiniteQueueId = "the finite queue"
+englishResultLocalisation InfiniteQueueId = "the infinite queue"
+englishResultLocalisation EnqueueStrategyId = "the enqueueing strategy"
+englishResultLocalisation EnqueueStoringStrategyId = "the storing strategy"
+englishResultLocalisation DequeueStrategyId = "the dequeueing strategy"
+englishResultLocalisation QueueNullId = "is the queue empty?"
+englishResultLocalisation QueueFullId = "is the queue full?"
+englishResultLocalisation QueueMaxCountId = "the queue capacity"
+englishResultLocalisation QueueCountId = "the current queue size"
+englishResultLocalisation QueueCountStatsId = "the queue size statistics"
+englishResultLocalisation EnqueueCountId = "a total number of attempts to enqueue the items"
+englishResultLocalisation EnqueueLostCountId = "a total number of the lost items when trying to enqueue"
+englishResultLocalisation EnqueueStoreCountId = "a total number of the stored items"
+englishResultLocalisation DequeueCountId = "a total number of requests for dequeueing"
+englishResultLocalisation DequeueExtractCountId = "a total number of the dequeued items"
+englishResultLocalisation QueueLoadFactorId = "the queue load (its size divided by its capacity)"
+englishResultLocalisation EnqueueRateId = "how many attempts to enqueue per time?"
+englishResultLocalisation EnqueueStoreRateId = "how many items were stored per time?"
+englishResultLocalisation DequeueRateId = "how many requests for dequeueing per time?"
+englishResultLocalisation DequeueExtractRateId = "how many items were dequeued per time?"
+englishResultLocalisation QueueWaitTimeId = "the wait time (stored -> dequeued)"
+englishResultLocalisation QueueTotalWaitTimeId = "the total wait time (tried to enqueue -> dequeued)"
+englishResultLocalisation EnqueueWaitTimeId = "the enqueue wait time (tried to enqueue -> stored)"
+englishResultLocalisation DequeueWaitTimeId = "the dequeue wait time (requested for dequeueing -> dequeued)"
+englishResultLocalisation QueueRateId = "the average queue rate (= queue size / wait time)"
+englishResultLocalisation ArrivalTimerId = "how long the arrivals are processed?"
+englishResultLocalisation ArrivalProcessingTimeId = "the processing time of arrivals"
+englishResultLocalisation ServerId = "the server"
+englishResultLocalisation ServerInitStateId = "the initial state"
+englishResultLocalisation ServerStateId = "the current state"
+englishResultLocalisation ServerTotalInputWaitTimeId = "the total time spent while waiting for input"
+englishResultLocalisation ServerTotalProcessingTimeId = "the total time spent on actual processing the tasks"
+englishResultLocalisation ServerTotalOutputWaitTimeId = "the total time spent on delivering the output"
+englishResultLocalisation ServerInputWaitTimeId = "the time spent while waiting for input"
+englishResultLocalisation ServerProcessingTimeId = "the time spent on processing the tasks"
+englishResultLocalisation ServerOutputWaitTimeId = "the time spent on delivering the output"
+englishResultLocalisation ServerInputWaitFactorId = "the relative time spent while waiting for input (from 0 to 1)"
+englishResultLocalisation ServerProcessingFactorId = "the relative time spent on processing the tasks (from 0 to 1)"
+englishResultLocalisation ServerOutputWaitFactorId = "the relative time spent on delivering the output (from 0 to 1)"
+englishResultLocalisation (UserDefinedResultId m) = m
+englishResultLocalisation x@(LocalisedResultId m) =
+  lookupResultLocalisation englishResultLocale x
+
+-- | Lookup a localisation by the specified locale.
+lookupResultLocalisation :: ResultLocale -> ResultLocalisation
+lookupResultLocalisation loc (UserDefinedResultId m) = m
+lookupResultLocalisation loc (LocalisedResultId m) =
+  case M.lookup loc m of
+    Just x -> x
+    Nothing ->
+      case M.lookup russianResultLocale m of
+        Just x -> x
+        Nothing ->
+          case M.lookup englishResultLocale m of
+            Just x -> x
+            Nothing -> ""
+lookupResultLocalisation loc resultId = russianResultLocalisation resultId
diff --git a/Simulation/Aivika/Server.hs b/Simulation/Aivika/Server.hs
--- a/Simulation/Aivika/Server.hs
+++ b/Simulation/Aivika/Server.hs
@@ -1,510 +1,510 @@
-
--- |
--- Module     : Simulation.Aivika.Server
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- It models the server that prodives a service.
-module Simulation.Aivika.Server
-       (-- * Server
-        Server,
-        newServer,
-        newStateServer,
-        -- * Processing
-        serverProcessor,
-        -- * Server Properties and Activities
-        serverInitState,
-        serverState,
-        serverTotalInputWaitTime,
-        serverTotalProcessingTime,
-        serverTotalOutputWaitTime,
-        serverInputWaitTime,
-        serverProcessingTime,
-        serverOutputWaitTime,
-        serverInputWaitFactor,
-        serverProcessingFactor,
-        serverOutputWaitFactor,
-        -- * Summary
-        serverSummary,
-        -- * Derived Signals for Properties
-        serverStateChanged,
-        serverStateChanged_,
-        serverTotalInputWaitTimeChanged,
-        serverTotalInputWaitTimeChanged_,
-        serverTotalProcessingTimeChanged,
-        serverTotalProcessingTimeChanged_,
-        serverTotalOutputWaitTimeChanged,
-        serverTotalOutputWaitTimeChanged_,
-        serverInputWaitTimeChanged,
-        serverInputWaitTimeChanged_,
-        serverProcessingTimeChanged,
-        serverProcessingTimeChanged_,
-        serverOutputWaitTimeChanged,
-        serverOutputWaitTimeChanged_,
-        serverInputWaitFactorChanged,
-        serverInputWaitFactorChanged_,
-        serverProcessingFactorChanged,
-        serverProcessingFactorChanged_,
-        serverOutputWaitFactorChanged,
-        serverOutputWaitFactorChanged_,
-        -- * Basic Signals
-        serverInputReceived,
-        serverTaskProcessed,
-        serverOutputProvided,
-        -- * Overall Signal
-        serverChanged_) where
-
-import Data.IORef
-import Data.Monoid
-
-import Control.Monad.Trans
-import Control.Arrow
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Resource
-import Simulation.Aivika.Cont
-import Simulation.Aivika.Process
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Statistics
-
--- | It models a server that takes @a@ and provides @b@ having state @s@.
-data Server s a b =
-  Server { serverInitState :: s,
-           -- ^ The initial state of the server.
-           serverStateRef :: IORef s,
-           -- ^ The current state of the server.
-           serverProcess :: s -> a -> Process (s, b),
-           -- ^ Provide @b@ by specified @a@.
-           serverTotalInputWaitTimeRef :: IORef Double,
-           -- ^ The counted total time spent in awating the input.
-           serverTotalProcessingTimeRef :: IORef Double,
-           -- ^ The counted total time spent to process the input and prepare the output.
-           serverTotalOutputWaitTimeRef :: IORef Double,
-           -- ^ The counted total time spent for delivering the output.
-           serverInputWaitTimeRef :: IORef (SamplingStats Double),
-           -- ^ The statistics for the time spent in awaiting the input.
-           serverProcessingTimeRef :: IORef (SamplingStats Double),
-           -- ^ The statistics for the time spent to process the input and prepare the output.
-           serverOutputWaitTimeRef :: IORef (SamplingStats Double),
-           -- ^ The statistics for the time spent for delivering the output.
-           serverInputReceivedSource :: SignalSource a,
-           -- ^ A signal raised when the server recieves a new input to process.
-           serverTaskProcessedSource :: SignalSource (a, b),
-           -- ^ A signal raised when the input is processed and
-           -- the output is prepared for deliverying.
-           serverOutputProvidedSource :: SignalSource (a, b)
-           -- ^ A signal raised when the server has supplied the output.
-         }
-
--- | Create a new server that can provide output @b@ by input @a@.
--- Also it returns the corresponded processor that being applied
--- updates the server state.
-newServer :: (a -> Process b)
-             -- ^ provide an output by the specified input
-             -> Simulation (Server () a b)
-newServer provide =
-  flip newStateServer () $ \s a ->
-  do b <- provide a
-     return (s, b)
-
--- | Create a new server that can provide output @b@ by input @a@
--- starting from state @s@. Also it returns the corresponded processor
--- that being applied updates the server state.
-newStateServer :: (s -> a -> Process (s, b))
-                  -- ^ provide a new state and output by the specified 
-                  -- old state and input
-                  -> s
-                  -- ^ the initial state
-                  -> Simulation (Server s a b)
-newStateServer provide state =
-  do r0 <- liftIO $ newIORef state
-     r1 <- liftIO $ newIORef 0
-     r2 <- liftIO $ newIORef 0
-     r3 <- liftIO $ newIORef 0
-     r4 <- liftIO $ newIORef emptySamplingStats
-     r5 <- liftIO $ newIORef emptySamplingStats
-     r6 <- liftIO $ newIORef emptySamplingStats
-     s1 <- newSignalSource
-     s2 <- newSignalSource
-     s3 <- newSignalSource
-     let server = Server { serverInitState = state,
-                           serverStateRef = r0,
-                           serverProcess = provide,
-                           serverTotalInputWaitTimeRef = r1,
-                           serverTotalProcessingTimeRef = r2,
-                           serverTotalOutputWaitTimeRef = r3,
-                           serverInputWaitTimeRef = r4,
-                           serverProcessingTimeRef = r5,
-                           serverOutputWaitTimeRef = r6,
-                           serverInputReceivedSource = s1,
-                           serverTaskProcessedSource = s2,
-                           serverOutputProvidedSource = s3 }
-     return server
-
--- | Return a processor for the specified server.
---
--- The processor updates the internal state of the server. The usual case is when 
--- the processor is applied only once in a chain of data processing. Otherwise; 
--- every time the processor is used, the state of the server changes. Sometimes 
--- it can be indeed useful if you want to aggregate the statistics for different 
--- servers simultaneously, but it would be more preferable to avoid this.
---
--- If you connect different server processors returned by this function in a chain 
--- with help of '>>>' or other category combinator then this chain will act as one 
--- whole, where the first server will take a new task only after the last server 
--- finishes its current task and requests for the next one from the previous processor 
--- in the chain. This is not always that thing you might need.
---
--- To model a sequence of the server processors working independently, you
--- should separate them with help of the 'prefetchProcessor' that plays a role
--- of a small one-place buffer in that case.
---
--- The queue processors usually have the prefetching capabilities per se, where
--- the items are already stored in the queue. Therefore, the server processor
--- should not be prefetched if it is connected directly with the queue processor.
-serverProcessor :: Server s a b -> Processor a b
-serverProcessor server =
-  Processor $ \xs -> loop (serverInitState server) Nothing xs
-  where
-    loop s r xs =
-      Cons $
-      do t0 <- liftDynamics time
-         liftEvent $
-           case r of
-             Nothing -> return ()
-             Just (t', a', b') ->
-               do liftIO $
-                    do modifyIORef' (serverTotalOutputWaitTimeRef server) (+ (t0 - t'))
-                       modifyIORef' (serverOutputWaitTimeRef server) $
-                         addSamplingStats (t0 - t')
-                  triggerSignal (serverOutputProvidedSource server) (a', b')
-         -- get input
-         (a, xs') <- runStream xs
-         t1 <- liftDynamics time
-         liftEvent $
-           do liftIO $
-                do modifyIORef' (serverTotalInputWaitTimeRef server) (+ (t1 - t0))
-                   modifyIORef' (serverInputWaitTimeRef server) $
-                     addSamplingStats (t1 - t0)
-              triggerSignal (serverInputReceivedSource server) a
-         -- provide the service
-         (s', b) <- serverProcess server s a
-         t2 <- liftDynamics time
-         liftEvent $
-           do liftIO $
-                do writeIORef (serverStateRef server) $! s'
-                   modifyIORef' (serverTotalProcessingTimeRef server) (+ (t2 - t1))
-                   modifyIORef' (serverProcessingTimeRef server) $
-                     addSamplingStats (t2 - t1)
-              triggerSignal (serverTaskProcessedSource server) (a, b)
-         return (b, loop s' (Just (t2, a, b)) xs')
-
--- | Return the current state of the server.
---
--- See also 'serverStateChanged' and 'serverStateChanged_'.
-serverState :: Server s a b -> Event s
-serverState server =
-  Event $ \p -> readIORef (serverStateRef server)
-  
--- | Signal when the 'serverState' property value has changed.
-serverStateChanged :: Server s a b -> Signal s
-serverStateChanged server =
-  mapSignalM (const $ serverState server) (serverStateChanged_ server)
-  
--- | Signal when the 'serverState' property value has changed.
-serverStateChanged_ :: Server s a b -> Signal ()
-serverStateChanged_ server =
-  mapSignal (const ()) (serverTaskProcessed server)
-
--- | Return the counted total time when the server was locked while awaiting the input.
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverTotalInputWaitTimeChanged' and 'serverTotalInputWaitTimeChanged_'.
-serverTotalInputWaitTime :: Server s a b -> Event Double
-serverTotalInputWaitTime server =
-  Event $ \p -> readIORef (serverTotalInputWaitTimeRef server)
-  
--- | Signal when the 'serverTotalInputWaitTime' property value has changed.
-serverTotalInputWaitTimeChanged :: Server s a b -> Signal Double
-serverTotalInputWaitTimeChanged server =
-  mapSignalM (const $ serverTotalInputWaitTime server) (serverTotalInputWaitTimeChanged_ server)
-  
--- | Signal when the 'serverTotalInputWaitTime' property value has changed.
-serverTotalInputWaitTimeChanged_ :: Server s a b -> Signal ()
-serverTotalInputWaitTimeChanged_ server =
-  mapSignal (const ()) (serverInputReceived server)
-
--- | Return the counted total time spent by the server while processing the tasks.
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverTotalProcessingTimeChanged' and 'serverTotalProcessingTimeChanged_'.
-serverTotalProcessingTime :: Server s a b -> Event Double
-serverTotalProcessingTime server =
-  Event $ \p -> readIORef (serverTotalProcessingTimeRef server)
-  
--- | Signal when the 'serverTotalProcessingTime' property value has changed.
-serverTotalProcessingTimeChanged :: Server s a b -> Signal Double
-serverTotalProcessingTimeChanged server =
-  mapSignalM (const $ serverTotalProcessingTime server) (serverTotalProcessingTimeChanged_ server)
-  
--- | Signal when the 'serverTotalProcessingTime' property value has changed.
-serverTotalProcessingTimeChanged_ :: Server s a b -> Signal ()
-serverTotalProcessingTimeChanged_ server =
-  mapSignal (const ()) (serverTaskProcessed server)
-
--- | Return the counted total time when the server was locked while trying
--- to deliver the output.
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverTotalOutputWaitTimeChanged' and 'serverTotalOutputWaitTimeChanged_'.
-serverTotalOutputWaitTime :: Server s a b -> Event Double
-serverTotalOutputWaitTime server =
-  Event $ \p -> readIORef (serverTotalOutputWaitTimeRef server)
-  
--- | Signal when the 'serverTotalOutputWaitTime' property value has changed.
-serverTotalOutputWaitTimeChanged :: Server s a b -> Signal Double
-serverTotalOutputWaitTimeChanged server =
-  mapSignalM (const $ serverTotalOutputWaitTime server) (serverTotalOutputWaitTimeChanged_ server)
-  
--- | Signal when the 'serverTotalOutputWaitTime' property value has changed.
-serverTotalOutputWaitTimeChanged_ :: Server s a b -> Signal ()
-serverTotalOutputWaitTimeChanged_ server =
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | Return the statistics of the time when the server was locked while awaiting the input.
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverInputWaitTimeChanged' and 'serverInputWaitTimeChanged_'.
-serverInputWaitTime :: Server s a b -> Event (SamplingStats Double)
-serverInputWaitTime server =
-  Event $ \p -> readIORef (serverInputWaitTimeRef server)
-  
--- | Signal when the 'serverInputWaitTime' property value has changed.
-serverInputWaitTimeChanged :: Server s a b -> Signal (SamplingStats Double)
-serverInputWaitTimeChanged server =
-  mapSignalM (const $ serverInputWaitTime server) (serverInputWaitTimeChanged_ server)
-  
--- | Signal when the 'serverInputWaitTime' property value has changed.
-serverInputWaitTimeChanged_ :: Server s a b -> Signal ()
-serverInputWaitTimeChanged_ server =
-  mapSignal (const ()) (serverInputReceived server)
-
--- | Return the statistics of the time spent by the server while processing the tasks.
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverProcessingTimeChanged' and 'serverProcessingTimeChanged_'.
-serverProcessingTime :: Server s a b -> Event (SamplingStats Double)
-serverProcessingTime server =
-  Event $ \p -> readIORef (serverProcessingTimeRef server)
-  
--- | Signal when the 'serverProcessingTime' property value has changed.
-serverProcessingTimeChanged :: Server s a b -> Signal (SamplingStats Double)
-serverProcessingTimeChanged server =
-  mapSignalM (const $ serverProcessingTime server) (serverProcessingTimeChanged_ server)
-  
--- | Signal when the 'serverProcessingTime' property value has changed.
-serverProcessingTimeChanged_ :: Server s a b -> Signal ()
-serverProcessingTimeChanged_ server =
-  mapSignal (const ()) (serverTaskProcessed server)
-
--- | Return the statistics of the time when the server was locked while trying
--- to deliver the output. 
---
--- The value returned changes discretely and it is usually delayed relative
--- to the current simulation time.
---
--- See also 'serverOutputWaitTimeChanged' and 'serverOutputWaitTimeChanged_'.
-serverOutputWaitTime :: Server s a b -> Event (SamplingStats Double)
-serverOutputWaitTime server =
-  Event $ \p -> readIORef (serverOutputWaitTimeRef server)
-  
--- | Signal when the 'serverOutputWaitTime' property value has changed.
-serverOutputWaitTimeChanged :: Server s a b -> Signal (SamplingStats Double)
-serverOutputWaitTimeChanged server =
-  mapSignalM (const $ serverOutputWaitTime server) (serverOutputWaitTimeChanged_ server)
-  
--- | Signal when the 'serverOutputWaitTime' property value has changed.
-serverOutputWaitTimeChanged_ :: Server s a b -> Signal ()
-serverOutputWaitTimeChanged_ server =
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | It returns the factor changing from 0 to 1, which estimates how often
--- the server was awaiting for the next input task.
---
--- This factor is calculated as
---
--- @
---   totalInputWaitTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
--- @
---
--- As before in this module, the value returned changes discretely and
--- it is usually delayed relative to the current simulation time.
---
--- See also 'serverInputWaitFactorChanged' and 'serverInputWaitFactorChanged_'.
-serverInputWaitFactor :: Server s a b -> Event Double
-serverInputWaitFactor server =
-  Event $ \p ->
-  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
-     x2 <- readIORef (serverTotalProcessingTimeRef server)
-     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
-     return (x1 / (x1 + x2 + x3))
-  
--- | Signal when the 'serverInputWaitFactor' property value has changed.
-serverInputWaitFactorChanged :: Server s a b -> Signal Double
-serverInputWaitFactorChanged server =
-  mapSignalM (const $ serverInputWaitFactor server) (serverInputWaitFactorChanged_ server)
-  
--- | Signal when the 'serverInputWaitFactor' property value has changed.
-serverInputWaitFactorChanged_ :: Server s a b -> Signal ()
-serverInputWaitFactorChanged_ server =
-  mapSignal (const ()) (serverInputReceived server) <>
-  mapSignal (const ()) (serverTaskProcessed server) <>
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | It returns the factor changing from 0 to 1, which estimates how often
--- the server was busy with direct processing its tasks.
---
--- This factor is calculated as
---
--- @
---   totalProcessingTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
--- @
---
--- As before in this module, the value returned changes discretely and
--- it is usually delayed relative to the current simulation time.
---
--- See also 'serverProcessingFactorChanged' and 'serverProcessingFactorChanged_'.
-serverProcessingFactor :: Server s a b -> Event Double
-serverProcessingFactor server =
-  Event $ \p ->
-  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
-     x2 <- readIORef (serverTotalProcessingTimeRef server)
-     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
-     return (x2 / (x1 + x2 + x3))
-  
--- | Signal when the 'serverProcessingFactor' property value has changed.
-serverProcessingFactorChanged :: Server s a b -> Signal Double
-serverProcessingFactorChanged server =
-  mapSignalM (const $ serverProcessingFactor server) (serverProcessingFactorChanged_ server)
-  
--- | Signal when the 'serverProcessingFactor' property value has changed.
-serverProcessingFactorChanged_ :: Server s a b -> Signal ()
-serverProcessingFactorChanged_ server =
-  mapSignal (const ()) (serverInputReceived server) <>
-  mapSignal (const ()) (serverTaskProcessed server) <>
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | It returns the factor changing from 0 to 1, which estimates how often
--- the server was locked trying to deliver the output after the task is finished.
---
--- This factor is calculated as
---
--- @
---   totalOutputWaitTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
--- @
---
--- As before in this module, the value returned changes discretely and
--- it is usually delayed relative to the current simulation time.
---
--- See also 'serverOutputWaitFactorChanged' and 'serverOutputWaitFactorChanged_'.
-serverOutputWaitFactor :: Server s a b -> Event Double
-serverOutputWaitFactor server =
-  Event $ \p ->
-  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
-     x2 <- readIORef (serverTotalProcessingTimeRef server)
-     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
-     return (x3 / (x1 + x2 + x3))
-  
--- | Signal when the 'serverOutputWaitFactor' property value has changed.
-serverOutputWaitFactorChanged :: Server s a b -> Signal Double
-serverOutputWaitFactorChanged server =
-  mapSignalM (const $ serverOutputWaitFactor server) (serverOutputWaitFactorChanged_ server)
-  
--- | Signal when the 'serverOutputWaitFactor' property value has changed.
-serverOutputWaitFactorChanged_ :: Server s a b -> Signal ()
-serverOutputWaitFactorChanged_ server =
-  mapSignal (const ()) (serverInputReceived server) <>
-  mapSignal (const ()) (serverTaskProcessed server) <>
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | Raised when the server receives a new input task.
-serverInputReceived :: Server s a b -> Signal a
-serverInputReceived = publishSignal . serverInputReceivedSource
-
--- | Raised when the server has just processed the task.
-serverTaskProcessed :: Server s a b -> Signal (a, b)
-serverTaskProcessed = publishSignal . serverTaskProcessedSource
-
--- | Raised when the server has just delivered the output.
-serverOutputProvided :: Server s a b -> Signal (a, b)
-serverOutputProvided = publishSignal . serverOutputProvidedSource
-
--- | Signal whenever any property of the server changes.
-serverChanged_ :: Server s a b -> Signal ()
-serverChanged_ server =
-  mapSignal (const ()) (serverInputReceived server) <>
-  mapSignal (const ()) (serverTaskProcessed server) <>
-  mapSignal (const ()) (serverOutputProvided server)
-
--- | Return the summary for the server with desciption of its
--- properties and activities using the specified indent.
-serverSummary :: Server s a b -> Int -> Event ShowS
-serverSummary server indent =
-  Event $ \p ->
-  do tx1 <- readIORef (serverTotalInputWaitTimeRef server)
-     tx2 <- readIORef (serverTotalProcessingTimeRef server)
-     tx3 <- readIORef (serverTotalOutputWaitTimeRef server)
-     let xf1 = tx1 / (tx1 + tx2 + tx3)
-         xf2 = tx2 / (tx1 + tx2 + tx3)
-         xf3 = tx3 / (tx1 + tx2 + tx3)
-     xs1 <- readIORef (serverInputWaitTimeRef server)
-     xs2 <- readIORef (serverProcessingTimeRef server)
-     xs3 <- readIORef (serverOutputWaitTimeRef server)
-     let tab = replicate indent ' '
-     return $
-       showString tab .
-       showString "total input wait time (locked while awaiting the input) = " . shows tx1 .
-       showString "\n" .
-       showString tab .
-       showString "total processing time = " . shows tx2 .
-       showString "\n" .
-       showString tab .
-       showString "total output wait time (locked while delivering the output) = " . shows tx3 .
-       showString "\n\n" .
-       showString tab .
-       showString "input wait factor (from 0 to 1) = " . shows xf1 .
-       showString "\n" .
-       showString tab .
-       showString "processing factor (from 0 to 1) = " . shows xf2 .
-       showString "\n" .
-       showString tab .
-       showString "output wait factor (from 0 to 1) = " . shows xf3 .
-       showString "\n\n" .
-       showString tab .
-       showString "input wait time (locked while awaiting the input):\n\n" .
-       samplingStatsSummary xs1 (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "processing time:\n\n" .
-       samplingStatsSummary xs2 (2 + indent) .
-       showString "\n\n" .
-       showString tab .
-       showString "output wait time (locked while delivering the output):\n\n" .
-       samplingStatsSummary xs3 (2 + indent)
+
+-- |
+-- Module     : Simulation.Aivika.Server
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- It models the server that prodives a service.
+module Simulation.Aivika.Server
+       (-- * Server
+        Server,
+        newServer,
+        newStateServer,
+        -- * Processing
+        serverProcessor,
+        -- * Server Properties and Activities
+        serverInitState,
+        serverState,
+        serverTotalInputWaitTime,
+        serverTotalProcessingTime,
+        serverTotalOutputWaitTime,
+        serverInputWaitTime,
+        serverProcessingTime,
+        serverOutputWaitTime,
+        serverInputWaitFactor,
+        serverProcessingFactor,
+        serverOutputWaitFactor,
+        -- * Summary
+        serverSummary,
+        -- * Derived Signals for Properties
+        serverStateChanged,
+        serverStateChanged_,
+        serverTotalInputWaitTimeChanged,
+        serverTotalInputWaitTimeChanged_,
+        serverTotalProcessingTimeChanged,
+        serverTotalProcessingTimeChanged_,
+        serverTotalOutputWaitTimeChanged,
+        serverTotalOutputWaitTimeChanged_,
+        serverInputWaitTimeChanged,
+        serverInputWaitTimeChanged_,
+        serverProcessingTimeChanged,
+        serverProcessingTimeChanged_,
+        serverOutputWaitTimeChanged,
+        serverOutputWaitTimeChanged_,
+        serverInputWaitFactorChanged,
+        serverInputWaitFactorChanged_,
+        serverProcessingFactorChanged,
+        serverProcessingFactorChanged_,
+        serverOutputWaitFactorChanged,
+        serverOutputWaitFactorChanged_,
+        -- * Basic Signals
+        serverInputReceived,
+        serverTaskProcessed,
+        serverOutputProvided,
+        -- * Overall Signal
+        serverChanged_) where
+
+import Data.IORef
+import Data.Monoid
+
+import Control.Monad.Trans
+import Control.Arrow
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Resource
+import Simulation.Aivika.Cont
+import Simulation.Aivika.Process
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Statistics
+
+-- | It models a server that takes @a@ and provides @b@ having state @s@.
+data Server s a b =
+  Server { serverInitState :: s,
+           -- ^ The initial state of the server.
+           serverStateRef :: IORef s,
+           -- ^ The current state of the server.
+           serverProcess :: s -> a -> Process (s, b),
+           -- ^ Provide @b@ by specified @a@.
+           serverTotalInputWaitTimeRef :: IORef Double,
+           -- ^ The counted total time spent in awating the input.
+           serverTotalProcessingTimeRef :: IORef Double,
+           -- ^ The counted total time spent to process the input and prepare the output.
+           serverTotalOutputWaitTimeRef :: IORef Double,
+           -- ^ The counted total time spent for delivering the output.
+           serverInputWaitTimeRef :: IORef (SamplingStats Double),
+           -- ^ The statistics for the time spent in awaiting the input.
+           serverProcessingTimeRef :: IORef (SamplingStats Double),
+           -- ^ The statistics for the time spent to process the input and prepare the output.
+           serverOutputWaitTimeRef :: IORef (SamplingStats Double),
+           -- ^ The statistics for the time spent for delivering the output.
+           serverInputReceivedSource :: SignalSource a,
+           -- ^ A signal raised when the server recieves a new input to process.
+           serverTaskProcessedSource :: SignalSource (a, b),
+           -- ^ A signal raised when the input is processed and
+           -- the output is prepared for deliverying.
+           serverOutputProvidedSource :: SignalSource (a, b)
+           -- ^ A signal raised when the server has supplied the output.
+         }
+
+-- | Create a new server that can provide output @b@ by input @a@.
+-- Also it returns the corresponded processor that being applied
+-- updates the server state.
+newServer :: (a -> Process b)
+             -- ^ provide an output by the specified input
+             -> Simulation (Server () a b)
+newServer provide =
+  flip newStateServer () $ \s a ->
+  do b <- provide a
+     return (s, b)
+
+-- | Create a new server that can provide output @b@ by input @a@
+-- starting from state @s@. Also it returns the corresponded processor
+-- that being applied updates the server state.
+newStateServer :: (s -> a -> Process (s, b))
+                  -- ^ provide a new state and output by the specified 
+                  -- old state and input
+                  -> s
+                  -- ^ the initial state
+                  -> Simulation (Server s a b)
+newStateServer provide state =
+  do r0 <- liftIO $ newIORef state
+     r1 <- liftIO $ newIORef 0
+     r2 <- liftIO $ newIORef 0
+     r3 <- liftIO $ newIORef 0
+     r4 <- liftIO $ newIORef emptySamplingStats
+     r5 <- liftIO $ newIORef emptySamplingStats
+     r6 <- liftIO $ newIORef emptySamplingStats
+     s1 <- newSignalSource
+     s2 <- newSignalSource
+     s3 <- newSignalSource
+     let server = Server { serverInitState = state,
+                           serverStateRef = r0,
+                           serverProcess = provide,
+                           serverTotalInputWaitTimeRef = r1,
+                           serverTotalProcessingTimeRef = r2,
+                           serverTotalOutputWaitTimeRef = r3,
+                           serverInputWaitTimeRef = r4,
+                           serverProcessingTimeRef = r5,
+                           serverOutputWaitTimeRef = r6,
+                           serverInputReceivedSource = s1,
+                           serverTaskProcessedSource = s2,
+                           serverOutputProvidedSource = s3 }
+     return server
+
+-- | Return a processor for the specified server.
+--
+-- The processor updates the internal state of the server. The usual case is when 
+-- the processor is applied only once in a chain of data processing. Otherwise; 
+-- every time the processor is used, the state of the server changes. Sometimes 
+-- it can be indeed useful if you want to aggregate the statistics for different 
+-- servers simultaneously, but it would be more preferable to avoid this.
+--
+-- If you connect different server processors returned by this function in a chain 
+-- with help of '>>>' or other category combinator then this chain will act as one 
+-- whole, where the first server will take a new task only after the last server 
+-- finishes its current task and requests for the next one from the previous processor 
+-- in the chain. This is not always that thing you might need.
+--
+-- To model a sequence of the server processors working independently, you
+-- should separate them with help of the 'prefetchProcessor' that plays a role
+-- of a small one-place buffer in that case.
+--
+-- The queue processors usually have the prefetching capabilities per se, where
+-- the items are already stored in the queue. Therefore, the server processor
+-- should not be prefetched if it is connected directly with the queue processor.
+serverProcessor :: Server s a b -> Processor a b
+serverProcessor server =
+  Processor $ \xs -> loop (serverInitState server) Nothing xs
+  where
+    loop s r xs =
+      Cons $
+      do t0 <- liftDynamics time
+         liftEvent $
+           case r of
+             Nothing -> return ()
+             Just (t', a', b') ->
+               do liftIO $
+                    do modifyIORef' (serverTotalOutputWaitTimeRef server) (+ (t0 - t'))
+                       modifyIORef' (serverOutputWaitTimeRef server) $
+                         addSamplingStats (t0 - t')
+                  triggerSignal (serverOutputProvidedSource server) (a', b')
+         -- get input
+         (a, xs') <- runStream xs
+         t1 <- liftDynamics time
+         liftEvent $
+           do liftIO $
+                do modifyIORef' (serverTotalInputWaitTimeRef server) (+ (t1 - t0))
+                   modifyIORef' (serverInputWaitTimeRef server) $
+                     addSamplingStats (t1 - t0)
+              triggerSignal (serverInputReceivedSource server) a
+         -- provide the service
+         (s', b) <- serverProcess server s a
+         t2 <- liftDynamics time
+         liftEvent $
+           do liftIO $
+                do writeIORef (serverStateRef server) $! s'
+                   modifyIORef' (serverTotalProcessingTimeRef server) (+ (t2 - t1))
+                   modifyIORef' (serverProcessingTimeRef server) $
+                     addSamplingStats (t2 - t1)
+              triggerSignal (serverTaskProcessedSource server) (a, b)
+         return (b, loop s' (Just (t2, a, b)) xs')
+
+-- | Return the current state of the server.
+--
+-- See also 'serverStateChanged' and 'serverStateChanged_'.
+serverState :: Server s a b -> Event s
+serverState server =
+  Event $ \p -> readIORef (serverStateRef server)
+  
+-- | Signal when the 'serverState' property value has changed.
+serverStateChanged :: Server s a b -> Signal s
+serverStateChanged server =
+  mapSignalM (const $ serverState server) (serverStateChanged_ server)
+  
+-- | Signal when the 'serverState' property value has changed.
+serverStateChanged_ :: Server s a b -> Signal ()
+serverStateChanged_ server =
+  mapSignal (const ()) (serverTaskProcessed server)
+
+-- | Return the counted total time when the server was locked while awaiting the input.
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverTotalInputWaitTimeChanged' and 'serverTotalInputWaitTimeChanged_'.
+serverTotalInputWaitTime :: Server s a b -> Event Double
+serverTotalInputWaitTime server =
+  Event $ \p -> readIORef (serverTotalInputWaitTimeRef server)
+  
+-- | Signal when the 'serverTotalInputWaitTime' property value has changed.
+serverTotalInputWaitTimeChanged :: Server s a b -> Signal Double
+serverTotalInputWaitTimeChanged server =
+  mapSignalM (const $ serverTotalInputWaitTime server) (serverTotalInputWaitTimeChanged_ server)
+  
+-- | Signal when the 'serverTotalInputWaitTime' property value has changed.
+serverTotalInputWaitTimeChanged_ :: Server s a b -> Signal ()
+serverTotalInputWaitTimeChanged_ server =
+  mapSignal (const ()) (serverInputReceived server)
+
+-- | Return the counted total time spent by the server while processing the tasks.
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverTotalProcessingTimeChanged' and 'serverTotalProcessingTimeChanged_'.
+serverTotalProcessingTime :: Server s a b -> Event Double
+serverTotalProcessingTime server =
+  Event $ \p -> readIORef (serverTotalProcessingTimeRef server)
+  
+-- | Signal when the 'serverTotalProcessingTime' property value has changed.
+serverTotalProcessingTimeChanged :: Server s a b -> Signal Double
+serverTotalProcessingTimeChanged server =
+  mapSignalM (const $ serverTotalProcessingTime server) (serverTotalProcessingTimeChanged_ server)
+  
+-- | Signal when the 'serverTotalProcessingTime' property value has changed.
+serverTotalProcessingTimeChanged_ :: Server s a b -> Signal ()
+serverTotalProcessingTimeChanged_ server =
+  mapSignal (const ()) (serverTaskProcessed server)
+
+-- | Return the counted total time when the server was locked while trying
+-- to deliver the output.
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverTotalOutputWaitTimeChanged' and 'serverTotalOutputWaitTimeChanged_'.
+serverTotalOutputWaitTime :: Server s a b -> Event Double
+serverTotalOutputWaitTime server =
+  Event $ \p -> readIORef (serverTotalOutputWaitTimeRef server)
+  
+-- | Signal when the 'serverTotalOutputWaitTime' property value has changed.
+serverTotalOutputWaitTimeChanged :: Server s a b -> Signal Double
+serverTotalOutputWaitTimeChanged server =
+  mapSignalM (const $ serverTotalOutputWaitTime server) (serverTotalOutputWaitTimeChanged_ server)
+  
+-- | Signal when the 'serverTotalOutputWaitTime' property value has changed.
+serverTotalOutputWaitTimeChanged_ :: Server s a b -> Signal ()
+serverTotalOutputWaitTimeChanged_ server =
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | Return the statistics of the time when the server was locked while awaiting the input.
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverInputWaitTimeChanged' and 'serverInputWaitTimeChanged_'.
+serverInputWaitTime :: Server s a b -> Event (SamplingStats Double)
+serverInputWaitTime server =
+  Event $ \p -> readIORef (serverInputWaitTimeRef server)
+  
+-- | Signal when the 'serverInputWaitTime' property value has changed.
+serverInputWaitTimeChanged :: Server s a b -> Signal (SamplingStats Double)
+serverInputWaitTimeChanged server =
+  mapSignalM (const $ serverInputWaitTime server) (serverInputWaitTimeChanged_ server)
+  
+-- | Signal when the 'serverInputWaitTime' property value has changed.
+serverInputWaitTimeChanged_ :: Server s a b -> Signal ()
+serverInputWaitTimeChanged_ server =
+  mapSignal (const ()) (serverInputReceived server)
+
+-- | Return the statistics of the time spent by the server while processing the tasks.
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverProcessingTimeChanged' and 'serverProcessingTimeChanged_'.
+serverProcessingTime :: Server s a b -> Event (SamplingStats Double)
+serverProcessingTime server =
+  Event $ \p -> readIORef (serverProcessingTimeRef server)
+  
+-- | Signal when the 'serverProcessingTime' property value has changed.
+serverProcessingTimeChanged :: Server s a b -> Signal (SamplingStats Double)
+serverProcessingTimeChanged server =
+  mapSignalM (const $ serverProcessingTime server) (serverProcessingTimeChanged_ server)
+  
+-- | Signal when the 'serverProcessingTime' property value has changed.
+serverProcessingTimeChanged_ :: Server s a b -> Signal ()
+serverProcessingTimeChanged_ server =
+  mapSignal (const ()) (serverTaskProcessed server)
+
+-- | Return the statistics of the time when the server was locked while trying
+-- to deliver the output. 
+--
+-- The value returned changes discretely and it is usually delayed relative
+-- to the current simulation time.
+--
+-- See also 'serverOutputWaitTimeChanged' and 'serverOutputWaitTimeChanged_'.
+serverOutputWaitTime :: Server s a b -> Event (SamplingStats Double)
+serverOutputWaitTime server =
+  Event $ \p -> readIORef (serverOutputWaitTimeRef server)
+  
+-- | Signal when the 'serverOutputWaitTime' property value has changed.
+serverOutputWaitTimeChanged :: Server s a b -> Signal (SamplingStats Double)
+serverOutputWaitTimeChanged server =
+  mapSignalM (const $ serverOutputWaitTime server) (serverOutputWaitTimeChanged_ server)
+  
+-- | Signal when the 'serverOutputWaitTime' property value has changed.
+serverOutputWaitTimeChanged_ :: Server s a b -> Signal ()
+serverOutputWaitTimeChanged_ server =
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | It returns the factor changing from 0 to 1, which estimates how often
+-- the server was awaiting for the next input task.
+--
+-- This factor is calculated as
+--
+-- @
+--   totalInputWaitTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
+-- @
+--
+-- As before in this module, the value returned changes discretely and
+-- it is usually delayed relative to the current simulation time.
+--
+-- See also 'serverInputWaitFactorChanged' and 'serverInputWaitFactorChanged_'.
+serverInputWaitFactor :: Server s a b -> Event Double
+serverInputWaitFactor server =
+  Event $ \p ->
+  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
+     x2 <- readIORef (serverTotalProcessingTimeRef server)
+     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
+     return (x1 / (x1 + x2 + x3))
+  
+-- | Signal when the 'serverInputWaitFactor' property value has changed.
+serverInputWaitFactorChanged :: Server s a b -> Signal Double
+serverInputWaitFactorChanged server =
+  mapSignalM (const $ serverInputWaitFactor server) (serverInputWaitFactorChanged_ server)
+  
+-- | Signal when the 'serverInputWaitFactor' property value has changed.
+serverInputWaitFactorChanged_ :: Server s a b -> Signal ()
+serverInputWaitFactorChanged_ server =
+  mapSignal (const ()) (serverInputReceived server) <>
+  mapSignal (const ()) (serverTaskProcessed server) <>
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | It returns the factor changing from 0 to 1, which estimates how often
+-- the server was busy with direct processing its tasks.
+--
+-- This factor is calculated as
+--
+-- @
+--   totalProcessingTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
+-- @
+--
+-- As before in this module, the value returned changes discretely and
+-- it is usually delayed relative to the current simulation time.
+--
+-- See also 'serverProcessingFactorChanged' and 'serverProcessingFactorChanged_'.
+serverProcessingFactor :: Server s a b -> Event Double
+serverProcessingFactor server =
+  Event $ \p ->
+  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
+     x2 <- readIORef (serverTotalProcessingTimeRef server)
+     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
+     return (x2 / (x1 + x2 + x3))
+  
+-- | Signal when the 'serverProcessingFactor' property value has changed.
+serverProcessingFactorChanged :: Server s a b -> Signal Double
+serverProcessingFactorChanged server =
+  mapSignalM (const $ serverProcessingFactor server) (serverProcessingFactorChanged_ server)
+  
+-- | Signal when the 'serverProcessingFactor' property value has changed.
+serverProcessingFactorChanged_ :: Server s a b -> Signal ()
+serverProcessingFactorChanged_ server =
+  mapSignal (const ()) (serverInputReceived server) <>
+  mapSignal (const ()) (serverTaskProcessed server) <>
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | It returns the factor changing from 0 to 1, which estimates how often
+-- the server was locked trying to deliver the output after the task is finished.
+--
+-- This factor is calculated as
+--
+-- @
+--   totalOutputWaitTime \/ (totalInputWaitTime + totalProcessingTime + totalOutputWaitTime)
+-- @
+--
+-- As before in this module, the value returned changes discretely and
+-- it is usually delayed relative to the current simulation time.
+--
+-- See also 'serverOutputWaitFactorChanged' and 'serverOutputWaitFactorChanged_'.
+serverOutputWaitFactor :: Server s a b -> Event Double
+serverOutputWaitFactor server =
+  Event $ \p ->
+  do x1 <- readIORef (serverTotalInputWaitTimeRef server)
+     x2 <- readIORef (serverTotalProcessingTimeRef server)
+     x3 <- readIORef (serverTotalOutputWaitTimeRef server)
+     return (x3 / (x1 + x2 + x3))
+  
+-- | Signal when the 'serverOutputWaitFactor' property value has changed.
+serverOutputWaitFactorChanged :: Server s a b -> Signal Double
+serverOutputWaitFactorChanged server =
+  mapSignalM (const $ serverOutputWaitFactor server) (serverOutputWaitFactorChanged_ server)
+  
+-- | Signal when the 'serverOutputWaitFactor' property value has changed.
+serverOutputWaitFactorChanged_ :: Server s a b -> Signal ()
+serverOutputWaitFactorChanged_ server =
+  mapSignal (const ()) (serverInputReceived server) <>
+  mapSignal (const ()) (serverTaskProcessed server) <>
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | Raised when the server receives a new input task.
+serverInputReceived :: Server s a b -> Signal a
+serverInputReceived = publishSignal . serverInputReceivedSource
+
+-- | Raised when the server has just processed the task.
+serverTaskProcessed :: Server s a b -> Signal (a, b)
+serverTaskProcessed = publishSignal . serverTaskProcessedSource
+
+-- | Raised when the server has just delivered the output.
+serverOutputProvided :: Server s a b -> Signal (a, b)
+serverOutputProvided = publishSignal . serverOutputProvidedSource
+
+-- | Signal whenever any property of the server changes.
+serverChanged_ :: Server s a b -> Signal ()
+serverChanged_ server =
+  mapSignal (const ()) (serverInputReceived server) <>
+  mapSignal (const ()) (serverTaskProcessed server) <>
+  mapSignal (const ()) (serverOutputProvided server)
+
+-- | Return the summary for the server with desciption of its
+-- properties and activities using the specified indent.
+serverSummary :: Server s a b -> Int -> Event ShowS
+serverSummary server indent =
+  Event $ \p ->
+  do tx1 <- readIORef (serverTotalInputWaitTimeRef server)
+     tx2 <- readIORef (serverTotalProcessingTimeRef server)
+     tx3 <- readIORef (serverTotalOutputWaitTimeRef server)
+     let xf1 = tx1 / (tx1 + tx2 + tx3)
+         xf2 = tx2 / (tx1 + tx2 + tx3)
+         xf3 = tx3 / (tx1 + tx2 + tx3)
+     xs1 <- readIORef (serverInputWaitTimeRef server)
+     xs2 <- readIORef (serverProcessingTimeRef server)
+     xs3 <- readIORef (serverOutputWaitTimeRef server)
+     let tab = replicate indent ' '
+     return $
+       showString tab .
+       showString "total input wait time (locked while awaiting the input) = " . shows tx1 .
+       showString "\n" .
+       showString tab .
+       showString "total processing time = " . shows tx2 .
+       showString "\n" .
+       showString tab .
+       showString "total output wait time (locked while delivering the output) = " . shows tx3 .
+       showString "\n\n" .
+       showString tab .
+       showString "input wait factor (from 0 to 1) = " . shows xf1 .
+       showString "\n" .
+       showString tab .
+       showString "processing factor (from 0 to 1) = " . shows xf2 .
+       showString "\n" .
+       showString tab .
+       showString "output wait factor (from 0 to 1) = " . shows xf3 .
+       showString "\n\n" .
+       showString tab .
+       showString "input wait time (locked while awaiting the input):\n\n" .
+       samplingStatsSummary xs1 (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "processing time:\n\n" .
+       samplingStatsSummary xs2 (2 + indent) .
+       showString "\n\n" .
+       showString tab .
+       showString "output wait time (locked while delivering the output):\n\n" .
+       samplingStatsSummary xs3 (2 + indent)
diff --git a/Simulation/Aivika/Signal.hs b/Simulation/Aivika/Signal.hs
--- a/Simulation/Aivika/Signal.hs
+++ b/Simulation/Aivika/Signal.hs
@@ -1,53 +1,53 @@
-
--- |
--- Module     : Simulation.Aivika.Signal
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines the signal which we can subscribe handlers to. 
--- These handlers can be disposed. The signal is triggered in the 
--- current time point actuating the corresponded computations from 
--- the handlers. 
---
-module Simulation.Aivika.Signal
-       (-- * Handling and Triggering Signal
-        Signal(..),
-        handleSignal_,
-        SignalSource,
-        newSignalSource,
-        publishSignal,
-        triggerSignal,
-        -- * Useful Combinators
-        mapSignal,
-        mapSignalM,
-        apSignal,
-        filterSignal,
-        filterSignalM,
-        emptySignal,
-        merge2Signals,
-        merge3Signals,
-        merge4Signals,
-        merge5Signals,
-        -- * Signal Arriving
-        arrivalSignal,
-        -- * Creating Signal in Time Points
-        newSignalInTimes,
-        newSignalInIntegTimes,
-        newSignalInStartTime,
-        newSignalInStopTime,
-        -- * Signal History
-        SignalHistory,
-        signalHistorySignal,
-        newSignalHistory,
-        newSignalHistoryStartingWith,
-        readSignalHistory,
-        -- * Signalable Computations
-        Signalable(..),
-        signalableChanged,
-        emptySignalable,
-        appendSignalable) where
-
-import Simulation.Aivika.Internal.Signal
+
+-- |
+-- Module     : Simulation.Aivika.Signal
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the signal which we can subscribe handlers to. 
+-- These handlers can be disposed. The signal is triggered in the 
+-- current time point actuating the corresponded computations from 
+-- the handlers. 
+--
+module Simulation.Aivika.Signal
+       (-- * Handling and Triggering Signal
+        Signal(..),
+        handleSignal_,
+        SignalSource,
+        newSignalSource,
+        publishSignal,
+        triggerSignal,
+        -- * Useful Combinators
+        mapSignal,
+        mapSignalM,
+        apSignal,
+        filterSignal,
+        filterSignalM,
+        emptySignal,
+        merge2Signals,
+        merge3Signals,
+        merge4Signals,
+        merge5Signals,
+        -- * Signal Arriving
+        arrivalSignal,
+        -- * Creating Signal in Time Points
+        newSignalInTimes,
+        newSignalInIntegTimes,
+        newSignalInStartTime,
+        newSignalInStopTime,
+        -- * Signal History
+        SignalHistory,
+        signalHistorySignal,
+        newSignalHistory,
+        newSignalHistoryStartingWith,
+        readSignalHistory,
+        -- * Signalable Computations
+        Signalable(..),
+        signalableChanged,
+        emptySignalable,
+        appendSignalable) where
+
+import Simulation.Aivika.Internal.Signal
diff --git a/Simulation/Aivika/Simulation.hs b/Simulation/Aivika/Simulation.hs
--- a/Simulation/Aivika/Simulation.hs
+++ b/Simulation/Aivika/Simulation.hs
@@ -1,25 +1,25 @@
-
--- |
--- Module     : Simulation.Aivika.Simulation
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines the 'Simulation' monad that represents a simulation run.
--- 
-module Simulation.Aivika.Simulation
-       (-- * Simulation
-        Simulation,
-        SimulationLift(..),
-        runSimulation,
-        runSimulations,
-        -- * Error Handling
-        catchSimulation,
-        finallySimulation,
-        throwSimulation,
-        -- * Memoization
-        memoSimulation) where
-
-import Simulation.Aivika.Internal.Simulation
+
+-- |
+-- Module     : Simulation.Aivika.Simulation
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines the 'Simulation' monad that represents a simulation run.
+-- 
+module Simulation.Aivika.Simulation
+       (-- * Simulation
+        Simulation,
+        SimulationLift(..),
+        runSimulation,
+        runSimulations,
+        -- * Error Handling
+        catchSimulation,
+        finallySimulation,
+        throwSimulation,
+        -- * Memoization
+        memoSimulation) where
+
+import Simulation.Aivika.Internal.Simulation
diff --git a/Simulation/Aivika/Specs.hs b/Simulation/Aivika/Specs.hs
--- a/Simulation/Aivika/Specs.hs
+++ b/Simulation/Aivika/Specs.hs
@@ -1,25 +1,25 @@
-
--- |
--- Module     : Simulation.Aivika.Specs
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- It defines the simulation specs and functions for this data type.
-module Simulation.Aivika.Specs
-       (-- * Simulation Specs
-        Specs(..),
-        Method(..),
-        -- * Auxiliary Functions
-        basicTime,
-        integIterationBnds,
-        integIterationHiBnd,
-        integIterationLoBnd,
-        integPhaseBnds,
-        integPhaseHiBnd,
-        integPhaseLoBnd,
-        integTimes) where
-
-import Simulation.Aivika.Internal.Specs
+
+-- |
+-- Module     : Simulation.Aivika.Specs
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- It defines the simulation specs and functions for this data type.
+module Simulation.Aivika.Specs
+       (-- * Simulation Specs
+        Specs(..),
+        Method(..),
+        -- * Auxiliary Functions
+        basicTime,
+        integIterationBnds,
+        integIterationHiBnd,
+        integIterationLoBnd,
+        integPhaseBnds,
+        integPhaseHiBnd,
+        integPhaseLoBnd,
+        integTimes) where
+
+import Simulation.Aivika.Internal.Specs
diff --git a/Simulation/Aivika/Statistics.hs b/Simulation/Aivika/Statistics.hs
--- a/Simulation/Aivika/Statistics.hs
+++ b/Simulation/Aivika/Statistics.hs
@@ -1,417 +1,417 @@
-
--- |
--- Module     : Simulation.Aivika.Statistics
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- Represents statistics.
---
-
-module Simulation.Aivika.Statistics
-       (-- * Simple Statistics
-        SamplingStats(..),
-        SamplingData(..),
-        combineSamplingStatsEither,
-        samplingStatsVariance,
-        samplingStatsDeviation,
-        samplingStatsSummary,
-        returnSamplingStats,
-        listSamplingStats,
-        fromIntSamplingStats,
-        -- * Timing Statistics
-        TimingStats(..),
-        TimingData(..),
-        timingStatsDeviation,
-        timingStatsSummary,
-        returnTimingStats,
-        fromIntTimingStats) where 
-
-import Data.Monoid
-
--- | Defines data types that can be converted to 'Double'.
-class Ord a => ConvertableToDouble a where
-  
-  -- | Convert the value to 'Double'.
-  convertToDouble :: a -> Double
-  
-instance ConvertableToDouble Double where
-  convertToDouble = id
-  
-instance ConvertableToDouble Int where
-  convertToDouble = fromIntegral
-
--- | Describes when the statistics consists of only samples 
--- not bound to the simulation time.
-data SamplingStats a =       
-  SamplingStats { samplingStatsCount :: !Int,
-                  -- ^ The total number of samples.
-                  samplingStatsMin   :: !a,
-                  -- ^ The minimum value among the samples.
-                  samplingStatsMax   :: !a,
-                  -- ^ The maximum value among the samples.
-                  samplingStatsMean  :: !Double,
-                  -- ^ The average value.
-                  samplingStatsMean2 :: !Double 
-                  -- ^ The average square value.
-                }
-  deriving (Eq, Ord)
-           
--- | Specifies data type from which values we can gather the statistics.           
-class SamplingData a where           
-  
-  -- | An empty statistics that has no samples.           
-  emptySamplingStats :: SamplingStats a
-           
-  -- | Add a new sample to the statistics.
-  addSamplingStats :: a -> SamplingStats a -> SamplingStats a
-
-  -- | Combine two statistics.
-  combineSamplingStats :: SamplingStats a -> SamplingStats a -> SamplingStats a
-
-instance SamplingData a => Monoid (SamplingStats a) where 
-  
-  mempty = emptySamplingStats
-  
-  mappend = combineSamplingStats
-
-instance SamplingData Double where
-
-  emptySamplingStats =
-    SamplingStats { samplingStatsCount = 0,
-                    samplingStatsMin   = 1 / 0,
-                    samplingStatsMax   = (-1) / 0,
-                    samplingStatsMean  = 0 / 0,
-                    samplingStatsMean2 = 0 / 0 }
-    
-  addSamplingStats = addSamplingStatsGeneric
-  
-  combineSamplingStats = combineSamplingStatsGeneric
-  
-instance SamplingData Int where
-
-  emptySamplingStats =
-    SamplingStats { samplingStatsCount = 0,
-                    samplingStatsMin   = maxBound,
-                    samplingStatsMax   = minBound,
-                    samplingStatsMean  = 0 / 0,
-                    samplingStatsMean2 = 0 / 0 }
-    
-  addSamplingStats = addSamplingStatsGeneric
-
-  combineSamplingStats = combineSamplingStatsGeneric
-  
-addSamplingStatsGeneric :: ConvertableToDouble a => a -> SamplingStats a -> SamplingStats a
-addSamplingStatsGeneric a stats 
-  | isNaN x    = stats
-  | count == 1 = SamplingStats { samplingStatsCount = 1,
-                                 samplingStatsMin   = a,
-                                 samplingStatsMax   = a,
-                                 samplingStatsMean  = x,
-                                 samplingStatsMean2 = x * x }
-  | otherwise  = SamplingStats { samplingStatsCount = count,
-                                 samplingStatsMin   = minX,
-                                 samplingStatsMax   = maxX,
-                                 samplingStatsMean  = meanX,
-                                 samplingStatsMean2 = meanX2 }
-    where count  = 1 + samplingStatsCount stats
-          minX   = a `seq` min a (samplingStatsMin stats)
-          maxX   = a `seq` max a (samplingStatsMax stats)
-          meanX  = k1 * x + k2 * samplingStatsMean stats
-          meanX2 = k1 * x * x + k2 * samplingStatsMean2 stats
-          n      = fromIntegral count
-          x      = convertToDouble a
-          k1     = 1.0 / n
-          k2     = (n - 1.0) / n
-
-combineSamplingStatsGeneric :: ConvertableToDouble a =>
-                               SamplingStats a -> SamplingStats a -> SamplingStats a
-combineSamplingStatsGeneric stats1 stats2
-  | c1 == 0   = stats2
-  | c2 == 0   = stats1
-  | otherwise = SamplingStats { samplingStatsCount = c,
-                                samplingStatsMin   = minZ,
-                                samplingStatsMax   = maxZ,
-                                samplingStatsMean  = meanZ,
-                                samplingStatsMean2 = meanZ2 }
-  where c1     = samplingStatsCount stats1
-        c2     = samplingStatsCount stats2
-        c      = c1 + c2
-        n1     = fromIntegral c1
-        n2     = fromIntegral c2
-        n      = n1 + n2
-        minX   = samplingStatsMin stats1
-        minY   = samplingStatsMin stats2
-        minZ   = min minX minY
-        maxX   = samplingStatsMax stats1
-        maxY   = samplingStatsMax stats2
-        maxZ   = max maxX maxY
-        meanX  = samplingStatsMean stats1
-        meanY  = samplingStatsMean stats2
-        meanZ  = k1 * meanX + k2 * meanY
-        meanX2 = samplingStatsMean2 stats1
-        meanY2 = samplingStatsMean2 stats2
-        meanZ2 = k1 * meanX2 + k2 * meanY2
-        k1     = n1 / n
-        k2     = n2 / n
-
--- | If allows combining statistics more efficiently if we know that the first argument can be a scalar.
-combineSamplingStatsEither :: SamplingData a => Either a (SamplingStats a) -> SamplingStats a -> SamplingStats a
-combineSamplingStatsEither (Left a) stats2 = addSamplingStats a stats2
-combineSamplingStatsEither (Right stats1) stats2 = combineSamplingStats stats1 stats2
-
--- | Return the variance.
-samplingStatsVariance :: SamplingStats a -> Double
-samplingStatsVariance stats
-  | count == 1 = 0
-  | otherwise  = (meanX2 - meanX * meanX) * (n / (n - 1))
-    where count  = samplingStatsCount stats
-          meanX  = samplingStatsMean stats
-          meanX2 = samplingStatsMean2 stats
-          n      = fromIntegral count
-          
--- | Return the deviation.          
-samplingStatsDeviation :: SamplingStats a -> Double
-samplingStatsDeviation = sqrt . samplingStatsVariance
-
--- | Return the statistics by a single sample.
-returnSamplingStats :: SamplingData a => a -> SamplingStats a
-returnSamplingStats x = addSamplingStats x emptySamplingStats
-
--- | Create the statistics by the specified list of data.
-listSamplingStats :: SamplingData a => [a] -> SamplingStats a
-listSamplingStats = foldr addSamplingStats emptySamplingStats
-
--- | Convert the statistics from integer to double values.
-fromIntSamplingStats :: SamplingStats Int -> SamplingStats Double
-fromIntSamplingStats stats =
-  stats { samplingStatsMin = fromIntegral $ samplingStatsMin stats,
-          samplingStatsMax = fromIntegral $ samplingStatsMax stats }
-
--- | Show the summary of the statistics.       
-showSamplingStats :: (Show a) => SamplingStats a -> ShowS
-showSamplingStats stats =
-  showString "{ count = " . shows (samplingStatsCount stats) . 
-  showString ", mean = " . shows (samplingStatsMean stats) . 
-  showString ", std = " . shows (samplingStatsDeviation stats) . 
-  showString ", min = " . shows (samplingStatsMin stats) . 
-  showString ", max = " . shows (samplingStatsMax stats) .
-  showString " }"
-
-instance Show a => Show (SamplingStats a) where
-  showsPrec prec = showSamplingStats
-
--- | Show the summary of the statistics using the specified indent.       
-samplingStatsSummary :: (Show a) => SamplingStats a -> Int -> ShowS
-samplingStatsSummary stats indent =
-  let tab = replicate indent ' '
-  in showString tab .
-     showString "count = " . shows (samplingStatsCount stats) .
-     showString "\n" .
-     showString tab .
-     showString "mean = " . shows (samplingStatsMean stats) . 
-     showString "\n" .
-     showString tab .
-     showString "std = " . shows (samplingStatsDeviation stats) . 
-     showString "\n" .
-     showString tab .
-     showString "min = " . shows (samplingStatsMin stats) . 
-     showString "\n" .
-     showString tab .
-     showString "max = " . shows (samplingStatsMax stats)
-     
--- | This is the timing statistics where data are bound to the time.
-data TimingStats a =
-  TimingStats { timingStatsCount     :: !Int,
-                -- ^ Return the number of samples.
-                timingStatsMin       :: !a,
-                -- ^ Return the minimum value.
-                timingStatsMax       :: !a,
-                -- ^ Return the maximum value.
-                timingStatsMinTime   :: !Double,
-                -- ^ Return the time at which the minimum is attained.
-                timingStatsMaxTime   :: !Double,
-                -- ^ Return the time at which the maximum is attained.
-                timingStatsStartTime :: !Double,
-                -- ^ Return the start time of sampling.
-                timingStatsLastTime  :: !Double,
-                -- ^ Return the last time of sampling.
-                timingStatsSum       :: !Double,
-                -- ^ Return the sum of values.
-                timingStatsSum2      :: !Double 
-                -- ^ Return the sum of square values.
-                } deriving (Eq, Ord)
-                           
--- | Defines the data type from which values we can gather the timing statistics.
-class TimingData a where                           
-  
-  -- | An empty statistics that has no samples.
-  emptyTimingStats :: TimingStats a
-  
-  -- | Add a sample with the specified time to the statistics.
-  addTimingStats :: Double -> a -> TimingStats a -> TimingStats a
-  
-  -- | Return the average value.
-  timingStatsMean :: TimingStats a -> Double
-  
-  -- | Return the variance.
-  timingStatsVariance :: TimingStats a -> Double
-  
-instance TimingData Double where
-  
-  emptyTimingStats = 
-    TimingStats { timingStatsCount     = 0,
-                  timingStatsMin       = 1 / 0,
-                  timingStatsMax       = (-1) / 0,
-                  timingStatsMinTime   = 1 / 0,
-                  timingStatsMaxTime   = (-1) / 0,
-                  timingStatsStartTime = 1 / 0,
-                  timingStatsLastTime  = (-1) / 0,
-                  timingStatsSum       = 0 / 0,
-                  timingStatsSum2      = 0 / 0 }
-    
-  addTimingStats      = addTimingStatsGeneric
-  timingStatsMean     = timingStatsMeanGeneric
-  timingStatsVariance = timingStatsVarianceGeneric
-
-instance TimingData Int where
-  
-  emptyTimingStats = 
-    TimingStats { timingStatsCount     = 0,
-                  timingStatsMin       = maxBound,
-                  timingStatsMax       = minBound,
-                  timingStatsMinTime   = 1 / 0,
-                  timingStatsMaxTime   = (-1) / 0,
-                  timingStatsStartTime = 1 / 0,
-                  timingStatsLastTime  = (-1) / 0,
-                  timingStatsSum       = 0 / 0,
-                  timingStatsSum2      = 0 / 0 }
-    
-  addTimingStats      = addTimingStatsGeneric
-  timingStatsMean     = timingStatsMeanGeneric
-  timingStatsVariance = timingStatsVarianceGeneric
-
-addTimingStatsGeneric :: ConvertableToDouble a => Double -> a -> TimingStats a -> TimingStats a
-addTimingStatsGeneric t a stats
-  | t < t'     = error "The current time cannot be less than the previous one: addTimingStats"
-  | isNaN x    = stats
-  | count == 1 = TimingStats { timingStatsCount     = 1,
-                               timingStatsMin       = a,
-                               timingStatsMax       = a,
-                               timingStatsMinTime   = t,
-                               timingStatsMaxTime   = t,
-                               timingStatsStartTime = t,
-                               timingStatsLastTime  = t,
-                               timingStatsSum       = 0,
-                               timingStatsSum2      = 0 }
-  | otherwise  = TimingStats { timingStatsCount     = count,
-                               timingStatsMin       = minX,
-                               timingStatsMax       = maxX,
-                               timingStatsMinTime   = minT,
-                               timingStatsMaxTime   = maxT,
-                               timingStatsStartTime = t0,
-                               timingStatsLastTime  = t,
-                               timingStatsSum       = sumX,
-                               timingStatsSum2      = sumX2 }
-    where count = 1 + timingStatsCount stats
-          minX' = timingStatsMin stats
-          maxX' = timingStatsMax stats
-          minX  = a `seq` min a minX'
-          maxX  = a `seq` max a maxX'
-          minT | a < minX' = t
-               | otherwise = timingStatsMinTime stats
-          maxT | a > maxX' = t
-               | otherwise = timingStatsMaxTime stats
-          t0 = timingStatsStartTime stats
-          t' = timingStatsLastTime stats
-          x  = convertToDouble a
-          sumX'  = timingStatsSum stats
-          sumX   = sumX' + (t - t') * x
-          sumX2' = timingStatsSum2 stats
-          sumX2  = sumX2' + (t - t') * x * x
-      
-timingStatsMeanGeneric :: ConvertableToDouble a => TimingStats a -> Double
-timingStatsMeanGeneric stats
-  | count == 0 = 0 / 0
-  | t1 > t0    = sumX / (t1 - t0)
-  | otherwise  = minX
-    where t0    = timingStatsStartTime stats
-          t1    = timingStatsLastTime stats
-          sumX  = timingStatsSum stats
-          minX  = convertToDouble $ timingStatsMin stats
-          count = timingStatsCount stats
-  
-timingStatsMean2Generic :: ConvertableToDouble a => TimingStats a -> Double
-timingStatsMean2Generic stats
-  | count == 0 = 0 / 0
-  | t1 > t0    = sumX2 / (t1 - t0)
-  | otherwise  = minX * minX
-    where t0    = timingStatsStartTime stats
-          t1    = timingStatsLastTime stats
-          sumX2 = timingStatsSum2 stats
-          minX  = convertToDouble $ timingStatsMin stats
-          count = timingStatsCount stats
-
-timingStatsVarianceGeneric :: ConvertableToDouble a => TimingStats a -> Double
-timingStatsVarianceGeneric stats = ex2 - ex * ex
-  where ex  = timingStatsMeanGeneric stats
-        ex2 = timingStatsMean2Generic stats
-                
--- | Return the deviation.              
-timingStatsDeviation :: TimingData a => TimingStats a -> Double
-timingStatsDeviation = sqrt . timingStatsVariance
-
--- | Return the statistics by single timing data.
-returnTimingStats :: TimingData a => Double -> a -> TimingStats a
-returnTimingStats t a = addTimingStats t a emptyTimingStats
-
--- | Convert the statistics from integer to double values.
-fromIntTimingStats :: TimingStats Int -> TimingStats Double
-fromIntTimingStats stats =
-  stats { timingStatsMin = fromIntegral $ timingStatsMin stats,
-          timingStatsMax = fromIntegral $ timingStatsMax stats }
-
--- | Show the summary of the statistics.       
-showTimingStats :: (Show a, TimingData a) => TimingStats a -> ShowS
-showTimingStats stats =
-  showString "{ count = " . shows (timingStatsCount stats) . 
-  showString ", mean = " . shows (timingStatsMean stats) . 
-  showString ", std = " . shows (timingStatsDeviation stats) . 
-  showString ", min = " . shows (timingStatsMin stats) . 
-  showString " (t = " . shows (timingStatsMinTime stats) .
-  showString "), max = " . shows (timingStatsMax stats) .
-  showString " (t = " . shows (timingStatsMaxTime stats) .
-  showString "), t in [" . shows (timingStatsStartTime stats) .
-  showString ", " . shows (timingStatsLastTime stats) .
-  showString "] }"
-
-instance (Show a, TimingData a) => Show (TimingStats a) where
-  showsPrec prec = showTimingStats
-
--- | Show the summary of the statistics using the specified indent.       
-timingStatsSummary :: (Show a, TimingData a) => TimingStats a -> Int -> ShowS
-timingStatsSummary stats indent =
-  let tab = replicate indent ' '
-  in showString tab .
-     showString "count = " . shows (timingStatsCount stats) . 
-     showString "\n" .
-     showString tab .
-     showString "mean = " . shows (timingStatsMean stats) . 
-     showString "\n" .
-     showString tab .
-     showString "std = " . shows (timingStatsDeviation stats) . 
-     showString "\n" .
-     showString tab .
-     showString "min = " . shows (timingStatsMin stats) . 
-     showString " (t = " . shows (timingStatsMinTime stats) .
-     showString ")\n" .
-     showString tab .
-     showString "max = " . shows (timingStatsMax stats) .
-     showString " (t = " . shows (timingStatsMaxTime stats) .
-     showString ")\n" .
-     showString tab .
-     showString "t in [" . shows (timingStatsStartTime stats) .
-     showString ", " . shows (timingStatsLastTime stats) .
-     showString "]"
+
+-- |
+-- Module     : Simulation.Aivika.Statistics
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- Represents statistics.
+--
+
+module Simulation.Aivika.Statistics
+       (-- * Simple Statistics
+        SamplingStats(..),
+        SamplingData(..),
+        combineSamplingStatsEither,
+        samplingStatsVariance,
+        samplingStatsDeviation,
+        samplingStatsSummary,
+        returnSamplingStats,
+        listSamplingStats,
+        fromIntSamplingStats,
+        -- * Timing Statistics
+        TimingStats(..),
+        TimingData(..),
+        timingStatsDeviation,
+        timingStatsSummary,
+        returnTimingStats,
+        fromIntTimingStats) where 
+
+import Data.Monoid
+
+-- | Defines data types that can be converted to 'Double'.
+class Ord a => ConvertableToDouble a where
+  
+  -- | Convert the value to 'Double'.
+  convertToDouble :: a -> Double
+  
+instance ConvertableToDouble Double where
+  convertToDouble = id
+  
+instance ConvertableToDouble Int where
+  convertToDouble = fromIntegral
+
+-- | Describes when the statistics consists of only samples 
+-- not bound to the simulation time.
+data SamplingStats a =       
+  SamplingStats { samplingStatsCount :: !Int,
+                  -- ^ The total number of samples.
+                  samplingStatsMin   :: !a,
+                  -- ^ The minimum value among the samples.
+                  samplingStatsMax   :: !a,
+                  -- ^ The maximum value among the samples.
+                  samplingStatsMean  :: !Double,
+                  -- ^ The average value.
+                  samplingStatsMean2 :: !Double 
+                  -- ^ The average square value.
+                }
+  deriving (Eq, Ord)
+           
+-- | Specifies data type from which values we can gather the statistics.           
+class SamplingData a where           
+  
+  -- | An empty statistics that has no samples.           
+  emptySamplingStats :: SamplingStats a
+           
+  -- | Add a new sample to the statistics.
+  addSamplingStats :: a -> SamplingStats a -> SamplingStats a
+
+  -- | Combine two statistics.
+  combineSamplingStats :: SamplingStats a -> SamplingStats a -> SamplingStats a
+
+instance SamplingData a => Monoid (SamplingStats a) where 
+  
+  mempty = emptySamplingStats
+  
+  mappend = combineSamplingStats
+
+instance SamplingData Double where
+
+  emptySamplingStats =
+    SamplingStats { samplingStatsCount = 0,
+                    samplingStatsMin   = 1 / 0,
+                    samplingStatsMax   = (-1) / 0,
+                    samplingStatsMean  = 0 / 0,
+                    samplingStatsMean2 = 0 / 0 }
+    
+  addSamplingStats = addSamplingStatsGeneric
+  
+  combineSamplingStats = combineSamplingStatsGeneric
+  
+instance SamplingData Int where
+
+  emptySamplingStats =
+    SamplingStats { samplingStatsCount = 0,
+                    samplingStatsMin   = maxBound,
+                    samplingStatsMax   = minBound,
+                    samplingStatsMean  = 0 / 0,
+                    samplingStatsMean2 = 0 / 0 }
+    
+  addSamplingStats = addSamplingStatsGeneric
+
+  combineSamplingStats = combineSamplingStatsGeneric
+  
+addSamplingStatsGeneric :: ConvertableToDouble a => a -> SamplingStats a -> SamplingStats a
+addSamplingStatsGeneric a stats 
+  | isNaN x    = stats
+  | count == 1 = SamplingStats { samplingStatsCount = 1,
+                                 samplingStatsMin   = a,
+                                 samplingStatsMax   = a,
+                                 samplingStatsMean  = x,
+                                 samplingStatsMean2 = x * x }
+  | otherwise  = SamplingStats { samplingStatsCount = count,
+                                 samplingStatsMin   = minX,
+                                 samplingStatsMax   = maxX,
+                                 samplingStatsMean  = meanX,
+                                 samplingStatsMean2 = meanX2 }
+    where count  = 1 + samplingStatsCount stats
+          minX   = a `seq` min a (samplingStatsMin stats)
+          maxX   = a `seq` max a (samplingStatsMax stats)
+          meanX  = k1 * x + k2 * samplingStatsMean stats
+          meanX2 = k1 * x * x + k2 * samplingStatsMean2 stats
+          n      = fromIntegral count
+          x      = convertToDouble a
+          k1     = 1.0 / n
+          k2     = (n - 1.0) / n
+
+combineSamplingStatsGeneric :: ConvertableToDouble a =>
+                               SamplingStats a -> SamplingStats a -> SamplingStats a
+combineSamplingStatsGeneric stats1 stats2
+  | c1 == 0   = stats2
+  | c2 == 0   = stats1
+  | otherwise = SamplingStats { samplingStatsCount = c,
+                                samplingStatsMin   = minZ,
+                                samplingStatsMax   = maxZ,
+                                samplingStatsMean  = meanZ,
+                                samplingStatsMean2 = meanZ2 }
+  where c1     = samplingStatsCount stats1
+        c2     = samplingStatsCount stats2
+        c      = c1 + c2
+        n1     = fromIntegral c1
+        n2     = fromIntegral c2
+        n      = n1 + n2
+        minX   = samplingStatsMin stats1
+        minY   = samplingStatsMin stats2
+        minZ   = min minX minY
+        maxX   = samplingStatsMax stats1
+        maxY   = samplingStatsMax stats2
+        maxZ   = max maxX maxY
+        meanX  = samplingStatsMean stats1
+        meanY  = samplingStatsMean stats2
+        meanZ  = k1 * meanX + k2 * meanY
+        meanX2 = samplingStatsMean2 stats1
+        meanY2 = samplingStatsMean2 stats2
+        meanZ2 = k1 * meanX2 + k2 * meanY2
+        k1     = n1 / n
+        k2     = n2 / n
+
+-- | If allows combining statistics more efficiently if we know that the first argument can be a scalar.
+combineSamplingStatsEither :: SamplingData a => Either a (SamplingStats a) -> SamplingStats a -> SamplingStats a
+combineSamplingStatsEither (Left a) stats2 = addSamplingStats a stats2
+combineSamplingStatsEither (Right stats1) stats2 = combineSamplingStats stats1 stats2
+
+-- | Return the variance.
+samplingStatsVariance :: SamplingStats a -> Double
+samplingStatsVariance stats
+  | count == 1 = 0
+  | otherwise  = (meanX2 - meanX * meanX) * (n / (n - 1))
+    where count  = samplingStatsCount stats
+          meanX  = samplingStatsMean stats
+          meanX2 = samplingStatsMean2 stats
+          n      = fromIntegral count
+          
+-- | Return the deviation.          
+samplingStatsDeviation :: SamplingStats a -> Double
+samplingStatsDeviation = sqrt . samplingStatsVariance
+
+-- | Return the statistics by a single sample.
+returnSamplingStats :: SamplingData a => a -> SamplingStats a
+returnSamplingStats x = addSamplingStats x emptySamplingStats
+
+-- | Create the statistics by the specified list of data.
+listSamplingStats :: SamplingData a => [a] -> SamplingStats a
+listSamplingStats = foldr addSamplingStats emptySamplingStats
+
+-- | Convert the statistics from integer to double values.
+fromIntSamplingStats :: SamplingStats Int -> SamplingStats Double
+fromIntSamplingStats stats =
+  stats { samplingStatsMin = fromIntegral $ samplingStatsMin stats,
+          samplingStatsMax = fromIntegral $ samplingStatsMax stats }
+
+-- | Show the summary of the statistics.       
+showSamplingStats :: (Show a) => SamplingStats a -> ShowS
+showSamplingStats stats =
+  showString "{ count = " . shows (samplingStatsCount stats) . 
+  showString ", mean = " . shows (samplingStatsMean stats) . 
+  showString ", std = " . shows (samplingStatsDeviation stats) . 
+  showString ", min = " . shows (samplingStatsMin stats) . 
+  showString ", max = " . shows (samplingStatsMax stats) .
+  showString " }"
+
+instance Show a => Show (SamplingStats a) where
+  showsPrec prec = showSamplingStats
+
+-- | Show the summary of the statistics using the specified indent.       
+samplingStatsSummary :: (Show a) => SamplingStats a -> Int -> ShowS
+samplingStatsSummary stats indent =
+  let tab = replicate indent ' '
+  in showString tab .
+     showString "count = " . shows (samplingStatsCount stats) .
+     showString "\n" .
+     showString tab .
+     showString "mean = " . shows (samplingStatsMean stats) . 
+     showString "\n" .
+     showString tab .
+     showString "std = " . shows (samplingStatsDeviation stats) . 
+     showString "\n" .
+     showString tab .
+     showString "min = " . shows (samplingStatsMin stats) . 
+     showString "\n" .
+     showString tab .
+     showString "max = " . shows (samplingStatsMax stats)
+     
+-- | This is the timing statistics where data are bound to the time.
+data TimingStats a =
+  TimingStats { timingStatsCount     :: !Int,
+                -- ^ Return the number of samples.
+                timingStatsMin       :: !a,
+                -- ^ Return the minimum value.
+                timingStatsMax       :: !a,
+                -- ^ Return the maximum value.
+                timingStatsMinTime   :: !Double,
+                -- ^ Return the time at which the minimum is attained.
+                timingStatsMaxTime   :: !Double,
+                -- ^ Return the time at which the maximum is attained.
+                timingStatsStartTime :: !Double,
+                -- ^ Return the start time of sampling.
+                timingStatsLastTime  :: !Double,
+                -- ^ Return the last time of sampling.
+                timingStatsSum       :: !Double,
+                -- ^ Return the sum of values.
+                timingStatsSum2      :: !Double 
+                -- ^ Return the sum of square values.
+                } deriving (Eq, Ord)
+                           
+-- | Defines the data type from which values we can gather the timing statistics.
+class TimingData a where                           
+  
+  -- | An empty statistics that has no samples.
+  emptyTimingStats :: TimingStats a
+  
+  -- | Add a sample with the specified time to the statistics.
+  addTimingStats :: Double -> a -> TimingStats a -> TimingStats a
+  
+  -- | Return the average value.
+  timingStatsMean :: TimingStats a -> Double
+  
+  -- | Return the variance.
+  timingStatsVariance :: TimingStats a -> Double
+  
+instance TimingData Double where
+  
+  emptyTimingStats = 
+    TimingStats { timingStatsCount     = 0,
+                  timingStatsMin       = 1 / 0,
+                  timingStatsMax       = (-1) / 0,
+                  timingStatsMinTime   = 1 / 0,
+                  timingStatsMaxTime   = (-1) / 0,
+                  timingStatsStartTime = 1 / 0,
+                  timingStatsLastTime  = (-1) / 0,
+                  timingStatsSum       = 0 / 0,
+                  timingStatsSum2      = 0 / 0 }
+    
+  addTimingStats      = addTimingStatsGeneric
+  timingStatsMean     = timingStatsMeanGeneric
+  timingStatsVariance = timingStatsVarianceGeneric
+
+instance TimingData Int where
+  
+  emptyTimingStats = 
+    TimingStats { timingStatsCount     = 0,
+                  timingStatsMin       = maxBound,
+                  timingStatsMax       = minBound,
+                  timingStatsMinTime   = 1 / 0,
+                  timingStatsMaxTime   = (-1) / 0,
+                  timingStatsStartTime = 1 / 0,
+                  timingStatsLastTime  = (-1) / 0,
+                  timingStatsSum       = 0 / 0,
+                  timingStatsSum2      = 0 / 0 }
+    
+  addTimingStats      = addTimingStatsGeneric
+  timingStatsMean     = timingStatsMeanGeneric
+  timingStatsVariance = timingStatsVarianceGeneric
+
+addTimingStatsGeneric :: ConvertableToDouble a => Double -> a -> TimingStats a -> TimingStats a
+addTimingStatsGeneric t a stats
+  | t < t'     = error "The current time cannot be less than the previous one: addTimingStats"
+  | isNaN x    = stats
+  | count == 1 = TimingStats { timingStatsCount     = 1,
+                               timingStatsMin       = a,
+                               timingStatsMax       = a,
+                               timingStatsMinTime   = t,
+                               timingStatsMaxTime   = t,
+                               timingStatsStartTime = t,
+                               timingStatsLastTime  = t,
+                               timingStatsSum       = 0,
+                               timingStatsSum2      = 0 }
+  | otherwise  = TimingStats { timingStatsCount     = count,
+                               timingStatsMin       = minX,
+                               timingStatsMax       = maxX,
+                               timingStatsMinTime   = minT,
+                               timingStatsMaxTime   = maxT,
+                               timingStatsStartTime = t0,
+                               timingStatsLastTime  = t,
+                               timingStatsSum       = sumX,
+                               timingStatsSum2      = sumX2 }
+    where count = 1 + timingStatsCount stats
+          minX' = timingStatsMin stats
+          maxX' = timingStatsMax stats
+          minX  = a `seq` min a minX'
+          maxX  = a `seq` max a maxX'
+          minT | a < minX' = t
+               | otherwise = timingStatsMinTime stats
+          maxT | a > maxX' = t
+               | otherwise = timingStatsMaxTime stats
+          t0 = timingStatsStartTime stats
+          t' = timingStatsLastTime stats
+          x  = convertToDouble a
+          sumX'  = timingStatsSum stats
+          sumX   = sumX' + (t - t') * x
+          sumX2' = timingStatsSum2 stats
+          sumX2  = sumX2' + (t - t') * x * x
+      
+timingStatsMeanGeneric :: ConvertableToDouble a => TimingStats a -> Double
+timingStatsMeanGeneric stats
+  | count == 0 = 0 / 0
+  | t1 > t0    = sumX / (t1 - t0)
+  | otherwise  = minX
+    where t0    = timingStatsStartTime stats
+          t1    = timingStatsLastTime stats
+          sumX  = timingStatsSum stats
+          minX  = convertToDouble $ timingStatsMin stats
+          count = timingStatsCount stats
+  
+timingStatsMean2Generic :: ConvertableToDouble a => TimingStats a -> Double
+timingStatsMean2Generic stats
+  | count == 0 = 0 / 0
+  | t1 > t0    = sumX2 / (t1 - t0)
+  | otherwise  = minX * minX
+    where t0    = timingStatsStartTime stats
+          t1    = timingStatsLastTime stats
+          sumX2 = timingStatsSum2 stats
+          minX  = convertToDouble $ timingStatsMin stats
+          count = timingStatsCount stats
+
+timingStatsVarianceGeneric :: ConvertableToDouble a => TimingStats a -> Double
+timingStatsVarianceGeneric stats = ex2 - ex * ex
+  where ex  = timingStatsMeanGeneric stats
+        ex2 = timingStatsMean2Generic stats
+                
+-- | Return the deviation.              
+timingStatsDeviation :: TimingData a => TimingStats a -> Double
+timingStatsDeviation = sqrt . timingStatsVariance
+
+-- | Return the statistics by single timing data.
+returnTimingStats :: TimingData a => Double -> a -> TimingStats a
+returnTimingStats t a = addTimingStats t a emptyTimingStats
+
+-- | Convert the statistics from integer to double values.
+fromIntTimingStats :: TimingStats Int -> TimingStats Double
+fromIntTimingStats stats =
+  stats { timingStatsMin = fromIntegral $ timingStatsMin stats,
+          timingStatsMax = fromIntegral $ timingStatsMax stats }
+
+-- | Show the summary of the statistics.       
+showTimingStats :: (Show a, TimingData a) => TimingStats a -> ShowS
+showTimingStats stats =
+  showString "{ count = " . shows (timingStatsCount stats) . 
+  showString ", mean = " . shows (timingStatsMean stats) . 
+  showString ", std = " . shows (timingStatsDeviation stats) . 
+  showString ", min = " . shows (timingStatsMin stats) . 
+  showString " (t = " . shows (timingStatsMinTime stats) .
+  showString "), max = " . shows (timingStatsMax stats) .
+  showString " (t = " . shows (timingStatsMaxTime stats) .
+  showString "), t in [" . shows (timingStatsStartTime stats) .
+  showString ", " . shows (timingStatsLastTime stats) .
+  showString "] }"
+
+instance (Show a, TimingData a) => Show (TimingStats a) where
+  showsPrec prec = showTimingStats
+
+-- | Show the summary of the statistics using the specified indent.       
+timingStatsSummary :: (Show a, TimingData a) => TimingStats a -> Int -> ShowS
+timingStatsSummary stats indent =
+  let tab = replicate indent ' '
+  in showString tab .
+     showString "count = " . shows (timingStatsCount stats) . 
+     showString "\n" .
+     showString tab .
+     showString "mean = " . shows (timingStatsMean stats) . 
+     showString "\n" .
+     showString tab .
+     showString "std = " . shows (timingStatsDeviation stats) . 
+     showString "\n" .
+     showString tab .
+     showString "min = " . shows (timingStatsMin stats) . 
+     showString " (t = " . shows (timingStatsMinTime stats) .
+     showString ")\n" .
+     showString tab .
+     showString "max = " . shows (timingStatsMax stats) .
+     showString " (t = " . shows (timingStatsMaxTime stats) .
+     showString ")\n" .
+     showString tab .
+     showString "t in [" . shows (timingStatsStartTime stats) .
+     showString ", " . shows (timingStatsLastTime stats) .
+     showString "]"
diff --git a/Simulation/Aivika/Statistics/Accumulator.hs b/Simulation/Aivika/Statistics/Accumulator.hs
--- a/Simulation/Aivika/Statistics/Accumulator.hs
+++ b/Simulation/Aivika/Statistics/Accumulator.hs
@@ -1,44 +1,44 @@
-
--- |
--- Module     : Simulation.Aivika.Statistics.Accumulator
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This small utility module allows accumulating the timing statistics based on 'Signalable' data
--- such as the queue size or the number of lost items in the queue.
---
-
-module Simulation.Aivika.Statistics.Accumulator
-       (-- * Timing Statistics Accumulator
-        TimingStatsAccumulator,
-        newTimingStatsAccumulator,
-        timingStatsAccumulated) where
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Ref
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Signal
-
--- | Represents an accumulator for the timing statistics.
-newtype TimingStatsAccumulator a =
-  TimingStatsAccumulator { timingStatsAccumulatedRef :: Ref (TimingStats a) }
-
--- | Return the accumulated statistics.
-timingStatsAccumulated :: TimingStatsAccumulator a -> Event (TimingStats a)
-timingStatsAccumulated = readRef . timingStatsAccumulatedRef
-
--- | Start gathering the timing statistics from the current simulation time. 
-newTimingStatsAccumulator :: TimingData a => Signalable a -> Event (TimingStatsAccumulator a)
-newTimingStatsAccumulator x =
-  do t0 <- liftDynamics time
-     a0 <- readSignalable x
-     r  <- liftSimulation $ newRef (returnTimingStats t0 a0)
-     handleSignal_ (signalableChanged x) $ \a ->
-       do t <- liftDynamics time
-          modifyRef r $ addTimingStats t a
-     return TimingStatsAccumulator { timingStatsAccumulatedRef = r }
+
+-- |
+-- Module     : Simulation.Aivika.Statistics.Accumulator
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This small utility module allows accumulating the timing statistics based on 'Signalable' data
+-- such as the queue size or the number of lost items in the queue.
+--
+
+module Simulation.Aivika.Statistics.Accumulator
+       (-- * Timing Statistics Accumulator
+        TimingStatsAccumulator,
+        newTimingStatsAccumulator,
+        timingStatsAccumulated) where
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Signal
+
+-- | Represents an accumulator for the timing statistics.
+newtype TimingStatsAccumulator a =
+  TimingStatsAccumulator { timingStatsAccumulatedRef :: Ref (TimingStats a) }
+
+-- | Return the accumulated statistics.
+timingStatsAccumulated :: TimingStatsAccumulator a -> Event (TimingStats a)
+timingStatsAccumulated = readRef . timingStatsAccumulatedRef
+
+-- | Start gathering the timing statistics from the current simulation time. 
+newTimingStatsAccumulator :: TimingData a => Signalable a -> Event (TimingStatsAccumulator a)
+newTimingStatsAccumulator x =
+  do t0 <- liftDynamics time
+     a0 <- readSignalable x
+     r  <- liftSimulation $ newRef (returnTimingStats t0 a0)
+     handleSignal_ (signalableChanged x) $ \a ->
+       do t <- liftDynamics time
+          modifyRef r $ addTimingStats t a
+     return TimingStatsAccumulator { timingStatsAccumulatedRef = r }
diff --git a/Simulation/Aivika/Stream.hs b/Simulation/Aivika/Stream.hs
--- a/Simulation/Aivika/Stream.hs
+++ b/Simulation/Aivika/Stream.hs
@@ -1,534 +1,534 @@
-
--- |
--- Module     : Simulation.Aivika.Stream
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The infinite stream of data in time.
---
-module Simulation.Aivika.Stream
-       (-- * Stream Type
-        Stream(..),
-        -- * Merging and Splitting Stream
-        emptyStream,
-        mergeStreams,
-        mergeQueuedStreams,
-        mergePriorityStreams,
-        concatStreams,
-        concatQueuedStreams,
-        concatPriorityStreams,
-        splitStream,
-        splitStreamQueueing,
-        splitStreamPrioritising,
-        -- * Specifying Identifier
-        streamUsingId,
-        -- * Prefetching and Delaying Stream
-        prefetchStream,
-        delayStream,
-        -- * Stream Arriving
-        arrivalStream,
-        -- * Memoizing, Zipping and Uzipping Stream
-        memoStream,
-        zipStreamSeq,
-        zipStreamParallel,
-        zip3StreamSeq,
-        zip3StreamParallel,
-        unzipStream,
-        streamSeq,
-        streamParallel,
-        -- * Consuming and Sinking Stream
-        consumeStream,
-        sinkStream,
-        -- * Useful Combinators
-        repeatProcess,
-        mapStream,
-        mapStreamM,
-        apStreamDataFirst,
-        apStreamDataLater,
-        apStreamParallel,
-        filterStream,
-        filterStreamM,
-        -- * Integrating with Signals
-        signalStream,
-        streamSignal,
-        -- * Utilities
-        leftStream,
-        rightStream,
-        replaceLeftStream,
-        replaceRightStream,
-        partitionEitherStream) where
-
-import Data.IORef
-import Data.Maybe
-import Data.Monoid
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Cont
-import Simulation.Aivika.Process
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Resource
-import Simulation.Aivika.QueueStrategy
-import Simulation.Aivika.Queue.Infinite
-import Simulation.Aivika.Internal.Arrival
-
--- | Represents an infinite stream of data in time,
--- some kind of the cons cell.
-newtype Stream a = Cons { runStream :: Process (a, Stream a)
-                          -- ^ Run the stream.
-                        }
-
-instance Functor Stream where
-  
-  fmap f (Cons s) = Cons y where
-    y = do ~(x, xs) <- s
-           return (f x, fmap f xs)
-
-instance Monoid (Stream a) where
-
-  mempty  = emptyStream
-
-  mappend = mergeStreams
-
-  mconcat = concatStreams
-
--- | Create a stream that will use the specified process identifier.
--- It can be useful to refer to the underlying 'Process' computation which
--- can be passivated, interrupted, canceled and so on. See also the
--- 'processUsingId' function for more details.
-streamUsingId :: ProcessId -> Stream a -> Stream a
-streamUsingId pid (Cons s) =
-  Cons $ processUsingId pid s
-
--- | Memoize the stream so that it would always return the same data
--- within the simulation run.
-memoStream :: Stream a -> Simulation (Stream a)
-memoStream (Cons s) =
-  do p <- memoProcess $
-          do ~(x, xs) <- s
-             xs' <- liftSimulation $ memoStream xs
-             return (x, xs')
-     return (Cons p)
-
--- | Zip two streams trying to get data sequentially.
-zipStreamSeq :: Stream a -> Stream b -> Stream (a, b)
-zipStreamSeq (Cons sa) (Cons sb) = Cons y where
-  y = do ~(x, xs) <- sa
-         ~(y, ys) <- sb
-         return ((x, y), zipStreamSeq xs ys)
-
--- | Zip two streams trying to get data as soon as possible,
--- launching the sub-processes in parallel.
-zipStreamParallel :: Stream a -> Stream b -> Stream (a, b)
-zipStreamParallel (Cons sa) (Cons sb) = Cons y where
-  y = do ~((x, xs), (y, ys)) <- zipProcessParallel sa sb
-         return ((x, y), zipStreamParallel xs ys)
-
--- | Zip three streams trying to get data sequentially.
-zip3StreamSeq :: Stream a -> Stream b -> Stream c -> Stream (a, b, c)
-zip3StreamSeq (Cons sa) (Cons sb) (Cons sc) = Cons y where
-  y = do ~(x, xs) <- sa
-         ~(y, ys) <- sb
-         ~(z, zs) <- sc
-         return ((x, y, z), zip3StreamSeq xs ys zs)
-
--- | Zip three streams trying to get data as soon as possible,
--- launching the sub-processes in parallel.
-zip3StreamParallel :: Stream a -> Stream b -> Stream c -> Stream (a, b, c)
-zip3StreamParallel (Cons sa) (Cons sb) (Cons sc) = Cons y where
-  y = do ~((x, xs), (y, ys), (z, zs)) <- zip3ProcessParallel sa sb sc
-         return ((x, y, z), zip3StreamParallel xs ys zs)
-
--- | Unzip the stream.
-unzipStream :: Stream (a, b) -> Simulation (Stream a, Stream b)
-unzipStream s =
-  do s' <- memoStream s
-     let sa = mapStream fst s'
-         sb = mapStream snd s'
-     return (sa, sb)
-
--- | To form each new portion of data for the output stream,
--- read data sequentially from the input streams.
---
--- This is a generalization of 'zipStreamSeq'.
-streamSeq :: [Stream a] -> Stream [a]
-streamSeq xs = Cons y where
-  y = do ps <- forM xs runStream
-         return (map fst ps, streamSeq $ map snd ps)
-
--- | To form each new portion of data for the output stream,
--- read data from the input streams in parallel.
---
--- This is a generalization of 'zipStreamParallel'.
-streamParallel :: [Stream a] -> Stream [a]
-streamParallel xs = Cons y where
-  y = do ps <- processParallel $ map runStream xs
-         return (map fst ps, streamParallel $ map snd ps)
-
--- | Return a stream of values generated by the specified process.
-repeatProcess :: Process a -> Stream a
-repeatProcess p = Cons y where
-  y = do a <- p
-         return (a, repeatProcess p)
-
--- | Map the stream according the specified function.
-mapStream :: (a -> b) -> Stream a -> Stream b
-mapStream = fmap
-
--- | Compose the stream.
-mapStreamM :: (a -> Process b) -> Stream a -> Stream b
-mapStreamM f (Cons s) = Cons y where
-  y = do (a, xs) <- s
-         b <- f a
-         return (b, mapStreamM f xs)
-
--- | Transform the stream getting the transformation function after data have come.
-apStreamDataFirst :: Process (a -> b) -> Stream a -> Stream b
-apStreamDataFirst f (Cons s) = Cons y where
-  y = do ~(a, xs) <- s
-         g <- f
-         return (g a, apStreamDataFirst f xs)
-
--- | Transform the stream getting the transformation function before requesting for data.
-apStreamDataLater :: Process (a -> b) -> Stream a -> Stream b
-apStreamDataLater f (Cons s) = Cons y where
-  y = do g <- f
-         ~(a, xs) <- s
-         return (g a, apStreamDataLater f xs)
-
--- | Transform the stream trying to get the transformation function as soon as possible
--- at the same time when requesting for the next portion of data.
-apStreamParallel :: Process (a -> b) -> Stream a -> Stream b
-apStreamParallel f (Cons s) = Cons y where
-  y = do ~(g, (a, xs)) <- zipProcessParallel f s
-         return (g a, apStreamParallel f xs)
-
--- | Filter only those data values that satisfy to the specified predicate.
-filterStream :: (a -> Bool) -> Stream a -> Stream a
-filterStream p (Cons s) = Cons y where
-  y = do (a, xs) <- s
-         if p a
-           then return (a, filterStream p xs)
-           else let Cons z = filterStream p xs in z
-
--- | Filter only those data values that satisfy to the specified predicate.
-filterStreamM :: (a -> Process Bool) -> Stream a -> Stream a
-filterStreamM p (Cons s) = Cons y where
-  y = do (a, xs) <- s
-         b <- p a
-         if b
-           then return (a, filterStreamM p xs)
-           else let Cons z = filterStreamM p xs in z
-
--- | The stream of 'Left' values.
-leftStream :: Stream (Either a b) -> Stream a
-leftStream (Cons s) = Cons y where
-  y = do (a, xs) <- s
-         case a of
-           Left a  -> return (a, leftStream xs)
-           Right _ -> let Cons z = leftStream xs in z
-
--- | The stream of 'Right' values.
-rightStream :: Stream (Either a b) -> Stream b
-rightStream (Cons s) = Cons y where
-  y = do (a, xs) <- s
-         case a of
-           Left _  -> let Cons z = rightStream xs in z
-           Right a -> return (a, rightStream xs)
-
--- | Replace the 'Left' values.
-replaceLeftStream :: Stream (Either a b) -> Stream c -> Stream (Either c b)
-replaceLeftStream (Cons sab) (ys0 @ ~(Cons sc)) = Cons z where
-  z = do (a, xs) <- sab
-         case a of
-           Left _ ->
-             do (b, ys) <- sc
-                return (Left b, replaceLeftStream xs ys)
-           Right a ->
-             return (Right a, replaceLeftStream xs ys0)
-
--- | Replace the 'Right' values.
-replaceRightStream :: Stream (Either a b) -> Stream c -> Stream (Either a c)
-replaceRightStream (Cons sab) (ys0 @ ~(Cons sc)) = Cons z where
-  z = do (a, xs) <- sab
-         case a of
-           Right _ ->
-             do (b, ys) <- sc
-                return (Right b, replaceRightStream xs ys)
-           Left a ->
-             return (Left a, replaceRightStream xs ys0)
-
--- | Partition the stream of 'Either' values into two streams.
-partitionEitherStream :: Stream (Either a b) -> Simulation (Stream a, Stream b)
-partitionEitherStream s =
-  do s' <- memoStream s
-     return (leftStream s', rightStream s')
-
--- | Split the input stream into the specified number of output streams
--- after applying the 'FCFS' strategy for enqueuing the output requests.
-splitStream :: Int -> Stream a -> Simulation [Stream a]
-splitStream = splitStreamQueueing FCFS
-
--- | Split the input stream into the specified number of output streams.
---
--- If you don't know what the strategy to apply, then you probably
--- need the 'FCFS' strategy, or function 'splitStream' that
--- does namely this.
-splitStreamQueueing :: EnqueueStrategy s q
-                       => s
-                       -- ^ the strategy applied for enqueuing the output requests
-                       -> Int
-                       -- ^ the number of output streams
-                       -> Stream a
-                       -- ^ the input stream
-                       -> Simulation [Stream a]
-                       -- ^ the splitted output streams
-splitStreamQueueing s n x =
-  do ref <- liftIO $ newIORef x
-     res <- newResource s 1
-     let reader =
-           usingResource res $
-           do p <- liftIO $ readIORef ref
-              (a, xs) <- runStream p
-              liftIO $ writeIORef ref xs
-              return a
-     return $ map (\i -> repeatProcess reader) [1..n]
-
--- | Split the input stream into a list of output streams
--- using the specified priorities.
-splitStreamPrioritising :: PriorityQueueStrategy s q p
-                           => s
-                           -- ^ the strategy applied for enqueuing the output requests
-                           -> [Stream p]
-                           -- ^ the streams of priorities
-                           -> Stream a
-                           -- ^ the input stream
-                           -> Simulation [Stream a]
-                           -- ^ the splitted output streams
-splitStreamPrioritising s ps x =
-  do ref <- liftIO $ newIORef x
-     res <- newResource s 1
-     let stream (Cons p) = Cons z where
-           z = do (p', ps) <- p
-                  a <- usingResourceWithPriority res p' $
-                       do p <- liftIO $ readIORef ref
-                          (a, xs) <- runStream p
-                          liftIO $ writeIORef ref xs
-                          return a
-                  return (a, stream ps)
-     return $ map stream ps
-
--- | Concatenate the input streams applying the 'FCFS' strategy and
--- producing one output stream.
-concatStreams :: [Stream a] -> Stream a
-concatStreams = concatQueuedStreams FCFS
-
--- | Concatenate the input streams producing one output stream.
---
--- If you don't know what the strategy to apply, then you probably
--- need the 'FCFS' strategy, or function 'concatStreams' that
--- does namely this.
-concatQueuedStreams :: EnqueueStrategy s q
-                       => s
-                       -- ^ the strategy applied for enqueuing the input data
-                       -> [Stream a]
-                       -- ^ the input stream
-                       -> Stream a
-                       -- ^ the combined output stream
-concatQueuedStreams s streams = Cons z where
-  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-         writing <- liftSimulation $ newResourceWithMaxCount s 1 (Just 1)
-         conting <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-         ref <- liftIO $ newIORef Nothing
-         let writer p =
-               do (a, xs) <- runStream p
-                  requestResource writing
-                  liftIO $ writeIORef ref (Just a)
-                  releaseResource reading
-                  requestResource conting
-                  writer xs
-             reader =
-               do requestResource reading
-                  Just a <- liftIO $ readIORef ref
-                  liftIO $ writeIORef ref Nothing
-                  releaseResource writing
-                  return a
-         forM_ streams $ spawnProcess CancelTogether . writer
-         a <- reader
-         let xs = repeatProcess (releaseResource conting >> reader)
-         return (a, xs)
-
--- | Concatenate the input priority streams producing one output stream.
-concatPriorityStreams :: PriorityQueueStrategy s q p
-                         => s
-                         -- ^ the strategy applied for enqueuing the input data
-                         -> [Stream (p, a)]
-                         -- ^ the input stream
-                         -> Stream a
-                         -- ^ the combined output stream
-concatPriorityStreams s streams = Cons z where
-  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-         writing <- liftSimulation $ newResourceWithMaxCount s 1 (Just 1)
-         conting <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-         ref <- liftIO $ newIORef Nothing
-         let writer p =
-               do ((priority, a), xs) <- runStream p
-                  requestResourceWithPriority writing priority
-                  liftIO $ writeIORef ref (Just a)
-                  releaseResource reading
-                  requestResource conting
-                  writer xs
-             reader =
-               do requestResource reading
-                  Just a <- liftIO $ readIORef ref
-                  liftIO $ writeIORef ref Nothing
-                  releaseResource writing
-                  return a
-         forM_ streams $ spawnProcess CancelTogether . writer
-         a <- reader
-         let xs = repeatProcess (releaseResource conting >> reader)
-         return (a, xs)
-
--- | Merge two streams applying the 'FCFS' strategy for enqueuing the input data.
-mergeStreams :: Stream a -> Stream a -> Stream a
-mergeStreams = mergeQueuedStreams FCFS
-
--- | Merge two streams.
---
--- If you don't know what the strategy to apply, then you probably
--- need the 'FCFS' strategy, or function 'mergeStreams' that
--- does namely this.
-mergeQueuedStreams :: EnqueueStrategy s q
-                      => s
-                      -- ^ the strategy applied for enqueuing the input data
-                      -> Stream a
-                      -- ^ the fist input stream
-                      -> Stream a
-                      -- ^ the second input stream
-                      -> Stream a
-                      -- ^ the output combined stream
-mergeQueuedStreams s x y = concatQueuedStreams s [x, y]
-
--- | Merge two priority streams.
-mergePriorityStreams :: PriorityQueueStrategy s q p
-                        => s
-                        -- ^ the strategy applied for enqueuing the input data
-                        -> Stream (p, a)
-                        -- ^ the fist input stream
-                        -> Stream (p, a)
-                        -- ^ the second input stream
-                        -> Stream a
-                        -- ^ the output combined stream
-mergePriorityStreams s x y = concatPriorityStreams s [x, y]
-
--- | An empty stream that never returns data.
-emptyStream :: Stream a
-emptyStream = Cons neverProcess
-
--- | Consume the stream. It returns a process that infinitely reads data
--- from the stream and then redirects them to the provided function.
--- It is useful for modeling the process of enqueueing data in the queue
--- from the input stream.
-consumeStream :: (a -> Process ()) -> Stream a -> Process ()
-consumeStream f = p where
-  p (Cons s) = do (a, xs) <- s
-                  f a
-                  p xs
-
--- | Sink the stream. It returns a process that infinitely reads data
--- from the stream. The resulting computation can be a moving force
--- to simulate the whole system of the interconnected streams and
--- processors.
-sinkStream :: Stream a -> Process ()
-sinkStream = p where
-  p (Cons s) = do (a, xs) <- s
-                  p xs
-  
--- | Prefetch the input stream requesting for one more data item in advance 
--- while the last received item is not yet fully processed in the chain of 
--- streams, usually by the processors.
---
--- You can think of this as the prefetched stream could place its latest 
--- data item in some temporary space for later use, which is very useful 
--- for modeling a sequence of separate and independent work places.
-prefetchStream :: Stream a -> Stream a
-prefetchStream s = Cons z where
-  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
-         writing <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
-         ref <- liftIO $ newIORef Nothing
-         let writer p =
-               do (a, xs) <- runStream p
-                  requestResource writing
-                  liftIO $ writeIORef ref (Just a)
-                  releaseResource reading
-                  writer xs
-             reader =
-               do requestResource reading
-                  Just a <- liftIO $ readIORef ref
-                  liftIO $ writeIORef ref Nothing
-                  releaseResource writing
-                  return a
-         spawnProcess CancelTogether $ writer s
-         runStream $ repeatProcess reader
-
--- | Return a stream of values triggered by the specified signal.
---
--- Since the time at which the values of the stream are requested for may differ from
--- the time at which the signal is triggered, it can be useful to apply the 'arrivalSignal'
--- function to add the information about the time points at which the signal was 
--- actually received.
---
--- The point is that the 'Stream' is requested outside, while the 'Signal' is triggered
--- inside. They are different by nature. The former is passive, while the latter is active.
---
--- The resulting stream may be a root of space leak as it uses an internal queue to store
--- the values received from the signal. The oldest value is dequeued each time we request
--- the stream and it is returned within the computation.
---
--- Cancel the stream's process to unsubscribe from the specified signal.
-signalStream :: Signal a -> Process (Stream a)
-signalStream s =
-  do q <- liftEvent newFCFSQueue
-     h <- liftEvent $
-          handleSignal s $ 
-          enqueue q
-     whenCancellingProcess $ disposeEvent h
-     return $ repeatProcess $ dequeue q
-
--- | Return a computation of the signal that triggers values from the specified stream,
--- each time the next value of the stream is received within the underlying 'Process' 
--- computation.
---
--- Cancel the returned process to stop reading from the specified stream. 
-streamSignal :: Stream a -> Process (Signal a)
-streamSignal z =
-  do s <- liftSimulation newSignalSource
-     spawnProcess CancelTogether $
-       consumeStream (liftEvent . triggerSignal s) z
-     return $ publishSignal s
-
--- | Transform a stream so that the resulting stream returns a sequence of arrivals
--- saving the information about the time points at which the original stream items 
--- were received by demand.
-arrivalStream :: Stream a -> Stream (Arrival a)
-arrivalStream s = Cons $ loop s Nothing where
-  loop s t0 = do (a, xs) <- runStream s
-                 t <- liftDynamics time
-                 let b = Arrival { arrivalValue = a,
-                                   arrivalTime  = t,
-                                   arrivalDelay =
-                                     case t0 of
-                                       Nothing -> Nothing
-                                       Just t0 -> Just (t - t0) }
-                 return (b, Cons $ loop xs (Just t))
-
--- | Delay the stream by one step using the specified initial value.
-delayStream :: a -> Stream a -> Stream a
-delayStream a0 s = Cons $ return (a0, s)
+
+-- |
+-- Module     : Simulation.Aivika.Stream
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The infinite stream of data in time.
+--
+module Simulation.Aivika.Stream
+       (-- * Stream Type
+        Stream(..),
+        -- * Merging and Splitting Stream
+        emptyStream,
+        mergeStreams,
+        mergeQueuedStreams,
+        mergePriorityStreams,
+        concatStreams,
+        concatQueuedStreams,
+        concatPriorityStreams,
+        splitStream,
+        splitStreamQueueing,
+        splitStreamPrioritising,
+        -- * Specifying Identifier
+        streamUsingId,
+        -- * Prefetching and Delaying Stream
+        prefetchStream,
+        delayStream,
+        -- * Stream Arriving
+        arrivalStream,
+        -- * Memoizing, Zipping and Uzipping Stream
+        memoStream,
+        zipStreamSeq,
+        zipStreamParallel,
+        zip3StreamSeq,
+        zip3StreamParallel,
+        unzipStream,
+        streamSeq,
+        streamParallel,
+        -- * Consuming and Sinking Stream
+        consumeStream,
+        sinkStream,
+        -- * Useful Combinators
+        repeatProcess,
+        mapStream,
+        mapStreamM,
+        apStream,
+        apStreamM,
+        filterStream,
+        filterStreamM,
+        -- * Integrating with Signals
+        signalStream,
+        streamSignal,
+        -- * Utilities
+        leftStream,
+        rightStream,
+        replaceLeftStream,
+        replaceRightStream,
+        partitionEitherStream) where
+
+import Data.IORef
+import Data.Maybe
+import Data.Monoid
+
+import Control.Applicative
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Cont
+import Simulation.Aivika.Process
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Resource
+import Simulation.Aivika.QueueStrategy
+import Simulation.Aivika.Queue.Infinite
+import Simulation.Aivika.Internal.Arrival
+
+-- | Represents an infinite stream of data in time,
+-- some kind of the cons cell.
+newtype Stream a = Cons { runStream :: Process (a, Stream a)
+                          -- ^ Run the stream.
+                        }
+
+instance Functor Stream where
+  
+  fmap = mapStream
+
+instance Applicative Stream where
+
+  pure a = let y = Cons (return (a, y)) in y
+  
+  (<*>) = apStream
+
+instance Monoid (Stream a) where
+
+  mempty  = emptyStream
+
+  mappend = mergeStreams
+
+  mconcat = concatStreams
+
+-- | Create a stream that will use the specified process identifier.
+-- It can be useful to refer to the underlying 'Process' computation which
+-- can be passivated, interrupted, canceled and so on. See also the
+-- 'processUsingId' function for more details.
+streamUsingId :: ProcessId -> Stream a -> Stream a
+streamUsingId pid (Cons s) =
+  Cons $ processUsingId pid s
+
+-- | Memoize the stream so that it would always return the same data
+-- within the simulation run.
+memoStream :: Stream a -> Simulation (Stream a)
+memoStream (Cons s) =
+  do p <- memoProcess $
+          do ~(x, xs) <- s
+             xs' <- liftSimulation $ memoStream xs
+             return (x, xs')
+     return (Cons p)
+
+-- | Zip two streams trying to get data sequentially.
+zipStreamSeq :: Stream a -> Stream b -> Stream (a, b)
+zipStreamSeq (Cons sa) (Cons sb) = Cons y where
+  y = do ~(x, xs) <- sa
+         ~(y, ys) <- sb
+         return ((x, y), zipStreamSeq xs ys)
+
+-- | Zip two streams trying to get data as soon as possible,
+-- launching the sub-processes in parallel.
+zipStreamParallel :: Stream a -> Stream b -> Stream (a, b)
+zipStreamParallel (Cons sa) (Cons sb) = Cons y where
+  y = do ~((x, xs), (y, ys)) <- zipProcessParallel sa sb
+         return ((x, y), zipStreamParallel xs ys)
+
+-- | Zip three streams trying to get data sequentially.
+zip3StreamSeq :: Stream a -> Stream b -> Stream c -> Stream (a, b, c)
+zip3StreamSeq (Cons sa) (Cons sb) (Cons sc) = Cons y where
+  y = do ~(x, xs) <- sa
+         ~(y, ys) <- sb
+         ~(z, zs) <- sc
+         return ((x, y, z), zip3StreamSeq xs ys zs)
+
+-- | Zip three streams trying to get data as soon as possible,
+-- launching the sub-processes in parallel.
+zip3StreamParallel :: Stream a -> Stream b -> Stream c -> Stream (a, b, c)
+zip3StreamParallel (Cons sa) (Cons sb) (Cons sc) = Cons y where
+  y = do ~((x, xs), (y, ys), (z, zs)) <- zip3ProcessParallel sa sb sc
+         return ((x, y, z), zip3StreamParallel xs ys zs)
+
+-- | Unzip the stream.
+unzipStream :: Stream (a, b) -> Simulation (Stream a, Stream b)
+unzipStream s =
+  do s' <- memoStream s
+     let sa = mapStream fst s'
+         sb = mapStream snd s'
+     return (sa, sb)
+
+-- | To form each new portion of data for the output stream,
+-- read data sequentially from the input streams.
+--
+-- This is a generalization of 'zipStreamSeq'.
+streamSeq :: [Stream a] -> Stream [a]
+streamSeq xs = Cons y where
+  y = do ps <- forM xs runStream
+         return (map fst ps, streamSeq $ map snd ps)
+
+-- | To form each new portion of data for the output stream,
+-- read data from the input streams in parallel.
+--
+-- This is a generalization of 'zipStreamParallel'.
+streamParallel :: [Stream a] -> Stream [a]
+streamParallel xs = Cons y where
+  y = do ps <- processParallel $ map runStream xs
+         return (map fst ps, streamParallel $ map snd ps)
+
+-- | Return a stream of values generated by the specified process.
+repeatProcess :: Process a -> Stream a
+repeatProcess p = Cons y where
+  y = do a <- p
+         return (a, repeatProcess p)
+
+-- | Map the stream according the specified function.
+mapStream :: (a -> b) -> Stream a -> Stream b
+mapStream f (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         return (f a, mapStream f xs)
+
+-- | Compose the stream.
+mapStreamM :: (a -> Process b) -> Stream a -> Stream b
+mapStreamM f (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         b <- f a
+         return (b, mapStreamM f xs)
+
+-- | Sequential application.
+apStream :: Stream (a -> b) -> Stream a -> Stream b
+apStream (Cons sf) (Cons sa) = Cons y where
+  y = do (f, sf') <- sf
+         (a, sa') <- sa
+         return (f a, apStream sf' sa')
+
+-- | Sequential application.
+apStreamM :: Stream (a -> Process b) -> Stream a -> Stream b
+apStreamM (Cons sf) (Cons sa) = Cons y where
+  y = do (f, sf') <- sf
+         (a, sa') <- sa
+         x <- f a
+         return (x, apStreamM sf' sa')
+
+-- | Filter only those data values that satisfy to the specified predicate.
+filterStream :: (a -> Bool) -> Stream a -> Stream a
+filterStream p (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         if p a
+           then return (a, filterStream p xs)
+           else let Cons z = filterStream p xs in z
+
+-- | Filter only those data values that satisfy to the specified predicate.
+filterStreamM :: (a -> Process Bool) -> Stream a -> Stream a
+filterStreamM p (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         b <- p a
+         if b
+           then return (a, filterStreamM p xs)
+           else let Cons z = filterStreamM p xs in z
+
+-- | The stream of 'Left' values.
+leftStream :: Stream (Either a b) -> Stream a
+leftStream (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         case a of
+           Left a  -> return (a, leftStream xs)
+           Right _ -> let Cons z = leftStream xs in z
+
+-- | The stream of 'Right' values.
+rightStream :: Stream (Either a b) -> Stream b
+rightStream (Cons s) = Cons y where
+  y = do (a, xs) <- s
+         case a of
+           Left _  -> let Cons z = rightStream xs in z
+           Right a -> return (a, rightStream xs)
+
+-- | Replace the 'Left' values.
+replaceLeftStream :: Stream (Either a b) -> Stream c -> Stream (Either c b)
+replaceLeftStream (Cons sab) (ys0 @ ~(Cons sc)) = Cons z where
+  z = do (a, xs) <- sab
+         case a of
+           Left _ ->
+             do (b, ys) <- sc
+                return (Left b, replaceLeftStream xs ys)
+           Right a ->
+             return (Right a, replaceLeftStream xs ys0)
+
+-- | Replace the 'Right' values.
+replaceRightStream :: Stream (Either a b) -> Stream c -> Stream (Either a c)
+replaceRightStream (Cons sab) (ys0 @ ~(Cons sc)) = Cons z where
+  z = do (a, xs) <- sab
+         case a of
+           Right _ ->
+             do (b, ys) <- sc
+                return (Right b, replaceRightStream xs ys)
+           Left a ->
+             return (Left a, replaceRightStream xs ys0)
+
+-- | Partition the stream of 'Either' values into two streams.
+partitionEitherStream :: Stream (Either a b) -> Simulation (Stream a, Stream b)
+partitionEitherStream s =
+  do s' <- memoStream s
+     return (leftStream s', rightStream s')
+
+-- | Split the input stream into the specified number of output streams
+-- after applying the 'FCFS' strategy for enqueuing the output requests.
+splitStream :: Int -> Stream a -> Simulation [Stream a]
+splitStream = splitStreamQueueing FCFS
+
+-- | Split the input stream into the specified number of output streams.
+--
+-- If you don't know what the strategy to apply, then you probably
+-- need the 'FCFS' strategy, or function 'splitStream' that
+-- does namely this.
+splitStreamQueueing :: EnqueueStrategy s
+                       => s
+                       -- ^ the strategy applied for enqueuing the output requests
+                       -> Int
+                       -- ^ the number of output streams
+                       -> Stream a
+                       -- ^ the input stream
+                       -> Simulation [Stream a]
+                       -- ^ the splitted output streams
+splitStreamQueueing s n x =
+  do ref <- liftIO $ newIORef x
+     res <- newResource s 1
+     let reader =
+           usingResource res $
+           do p <- liftIO $ readIORef ref
+              (a, xs) <- runStream p
+              liftIO $ writeIORef ref xs
+              return a
+     return $ map (\i -> repeatProcess reader) [1..n]
+
+-- | Split the input stream into a list of output streams
+-- using the specified priorities.
+splitStreamPrioritising :: PriorityQueueStrategy s p
+                           => s
+                           -- ^ the strategy applied for enqueuing the output requests
+                           -> [Stream p]
+                           -- ^ the streams of priorities
+                           -> Stream a
+                           -- ^ the input stream
+                           -> Simulation [Stream a]
+                           -- ^ the splitted output streams
+splitStreamPrioritising s ps x =
+  do ref <- liftIO $ newIORef x
+     res <- newResource s 1
+     let stream (Cons p) = Cons z where
+           z = do (p', ps) <- p
+                  a <- usingResourceWithPriority res p' $
+                       do p <- liftIO $ readIORef ref
+                          (a, xs) <- runStream p
+                          liftIO $ writeIORef ref xs
+                          return a
+                  return (a, stream ps)
+     return $ map stream ps
+
+-- | Concatenate the input streams applying the 'FCFS' strategy and
+-- producing one output stream.
+concatStreams :: [Stream a] -> Stream a
+concatStreams = concatQueuedStreams FCFS
+
+-- | Concatenate the input streams producing one output stream.
+--
+-- If you don't know what the strategy to apply, then you probably
+-- need the 'FCFS' strategy, or function 'concatStreams' that
+-- does namely this.
+concatQueuedStreams :: EnqueueStrategy s
+                       => s
+                       -- ^ the strategy applied for enqueuing the input data
+                       -> [Stream a]
+                       -- ^ the input stream
+                       -> Stream a
+                       -- ^ the combined output stream
+concatQueuedStreams s streams = Cons z where
+  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+         writing <- liftSimulation $ newResourceWithMaxCount s 1 (Just 1)
+         conting <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+         ref <- liftIO $ newIORef Nothing
+         let writer p =
+               do (a, xs) <- runStream p
+                  requestResource writing
+                  liftIO $ writeIORef ref (Just a)
+                  releaseResource reading
+                  requestResource conting
+                  writer xs
+             reader =
+               do requestResource reading
+                  Just a <- liftIO $ readIORef ref
+                  liftIO $ writeIORef ref Nothing
+                  releaseResource writing
+                  return a
+         forM_ streams $ spawnProcess CancelTogether . writer
+         a <- reader
+         let xs = repeatProcess (releaseResource conting >> reader)
+         return (a, xs)
+
+-- | Concatenate the input priority streams producing one output stream.
+concatPriorityStreams :: PriorityQueueStrategy s p
+                         => s
+                         -- ^ the strategy applied for enqueuing the input data
+                         -> [Stream (p, a)]
+                         -- ^ the input stream
+                         -> Stream a
+                         -- ^ the combined output stream
+concatPriorityStreams s streams = Cons z where
+  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+         writing <- liftSimulation $ newResourceWithMaxCount s 1 (Just 1)
+         conting <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+         ref <- liftIO $ newIORef Nothing
+         let writer p =
+               do ((priority, a), xs) <- runStream p
+                  requestResourceWithPriority writing priority
+                  liftIO $ writeIORef ref (Just a)
+                  releaseResource reading
+                  requestResource conting
+                  writer xs
+             reader =
+               do requestResource reading
+                  Just a <- liftIO $ readIORef ref
+                  liftIO $ writeIORef ref Nothing
+                  releaseResource writing
+                  return a
+         forM_ streams $ spawnProcess CancelTogether . writer
+         a <- reader
+         let xs = repeatProcess (releaseResource conting >> reader)
+         return (a, xs)
+
+-- | Merge two streams applying the 'FCFS' strategy for enqueuing the input data.
+mergeStreams :: Stream a -> Stream a -> Stream a
+mergeStreams = mergeQueuedStreams FCFS
+
+-- | Merge two streams.
+--
+-- If you don't know what the strategy to apply, then you probably
+-- need the 'FCFS' strategy, or function 'mergeStreams' that
+-- does namely this.
+mergeQueuedStreams :: EnqueueStrategy s
+                      => s
+                      -- ^ the strategy applied for enqueuing the input data
+                      -> Stream a
+                      -- ^ the fist input stream
+                      -> Stream a
+                      -- ^ the second input stream
+                      -> Stream a
+                      -- ^ the output combined stream
+mergeQueuedStreams s x y = concatQueuedStreams s [x, y]
+
+-- | Merge two priority streams.
+mergePriorityStreams :: PriorityQueueStrategy s p
+                        => s
+                        -- ^ the strategy applied for enqueuing the input data
+                        -> Stream (p, a)
+                        -- ^ the fist input stream
+                        -> Stream (p, a)
+                        -- ^ the second input stream
+                        -> Stream a
+                        -- ^ the output combined stream
+mergePriorityStreams s x y = concatPriorityStreams s [x, y]
+
+-- | An empty stream that never returns data.
+emptyStream :: Stream a
+emptyStream = Cons neverProcess
+
+-- | Consume the stream. It returns a process that infinitely reads data
+-- from the stream and then redirects them to the provided function.
+-- It is useful for modeling the process of enqueueing data in the queue
+-- from the input stream.
+consumeStream :: (a -> Process ()) -> Stream a -> Process ()
+consumeStream f = p where
+  p (Cons s) = do (a, xs) <- s
+                  f a
+                  p xs
+
+-- | Sink the stream. It returns a process that infinitely reads data
+-- from the stream. The resulting computation can be a moving force
+-- to simulate the whole system of the interconnected streams and
+-- processors.
+sinkStream :: Stream a -> Process ()
+sinkStream = p where
+  p (Cons s) = do (a, xs) <- s
+                  p xs
+  
+-- | Prefetch the input stream requesting for one more data item in advance 
+-- while the last received item is not yet fully processed in the chain of 
+-- streams, usually by the processors.
+--
+-- You can think of this as the prefetched stream could place its latest 
+-- data item in some temporary space for later use, which is very useful 
+-- for modeling a sequence of separate and independent work places.
+prefetchStream :: Stream a -> Stream a
+prefetchStream s = Cons z where
+  z = do reading <- liftSimulation $ newResourceWithMaxCount FCFS 0 (Just 1)
+         writing <- liftSimulation $ newResourceWithMaxCount FCFS 1 (Just 1)
+         ref <- liftIO $ newIORef Nothing
+         let writer p =
+               do (a, xs) <- runStream p
+                  requestResource writing
+                  liftIO $ writeIORef ref (Just a)
+                  releaseResource reading
+                  writer xs
+             reader =
+               do requestResource reading
+                  Just a <- liftIO $ readIORef ref
+                  liftIO $ writeIORef ref Nothing
+                  releaseResource writing
+                  return a
+         spawnProcess CancelTogether $ writer s
+         runStream $ repeatProcess reader
+
+-- | Return a stream of values triggered by the specified signal.
+--
+-- Since the time at which the values of the stream are requested for may differ from
+-- the time at which the signal is triggered, it can be useful to apply the 'arrivalSignal'
+-- function to add the information about the time points at which the signal was 
+-- actually received.
+--
+-- The point is that the 'Stream' is requested outside, while the 'Signal' is triggered
+-- inside. They are different by nature. The former is passive, while the latter is active.
+--
+-- The resulting stream may be a root of space leak as it uses an internal queue to store
+-- the values received from the signal. The oldest value is dequeued each time we request
+-- the stream and it is returned within the computation.
+--
+-- Cancel the stream's process to unsubscribe from the specified signal.
+signalStream :: Signal a -> Process (Stream a)
+signalStream s =
+  do q <- liftEvent newFCFSQueue
+     h <- liftEvent $
+          handleSignal s $ 
+          enqueue q
+     whenCancellingProcess $ disposeEvent h
+     return $ repeatProcess $ dequeue q
+
+-- | Return a computation of the signal that triggers values from the specified stream,
+-- each time the next value of the stream is received within the underlying 'Process' 
+-- computation.
+--
+-- Cancel the returned process to stop reading from the specified stream. 
+streamSignal :: Stream a -> Process (Signal a)
+streamSignal z =
+  do s <- liftSimulation newSignalSource
+     spawnProcess CancelTogether $
+       consumeStream (liftEvent . triggerSignal s) z
+     return $ publishSignal s
+
+-- | Transform a stream so that the resulting stream returns a sequence of arrivals
+-- saving the information about the time points at which the original stream items 
+-- were received by demand.
+arrivalStream :: Stream a -> Stream (Arrival a)
+arrivalStream s = Cons $ loop s Nothing where
+  loop s t0 = do (a, xs) <- runStream s
+                 t <- liftDynamics time
+                 let b = Arrival { arrivalValue = a,
+                                   arrivalTime  = t,
+                                   arrivalDelay =
+                                     case t0 of
+                                       Nothing -> Nothing
+                                       Just t0 -> Just (t - t0) }
+                 return (b, Cons $ loop xs (Just t))
+
+-- | Delay the stream by one step using the specified initial value.
+delayStream :: a -> Stream a -> Stream a
+delayStream a0 s = Cons $ return (a0, s)
diff --git a/Simulation/Aivika/Stream/Random.hs b/Simulation/Aivika/Stream/Random.hs
--- a/Simulation/Aivika/Stream/Random.hs
+++ b/Simulation/Aivika/Stream/Random.hs
@@ -1,153 +1,153 @@
-
--- |
--- Module     : Simulation.Aivika.Stream.Random
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines random streams of events, which are useful
--- for describing the input of the model.
---
-
-module Simulation.Aivika.Stream.Random
-       (-- * Stream of Random Events
-        randomStream,
-        randomUniformStream,
-        randomUniformIntStream,
-        randomNormalStream,
-        randomExponentialStream,
-        randomErlangStream,
-        randomPoissonStream,
-        randomBinomialStream) where
-
-import System.Random
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Parameter
-import Simulation.Aivika.Parameter.Random
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Event
-import Simulation.Aivika.Process
-import Simulation.Aivika.Processor
-import Simulation.Aivika.Stream
-import Simulation.Aivika.Statistics
-import Simulation.Aivika.Ref
-import Simulation.Aivika.Arrival
-
--- | Return a sream of random events that arrive with the specified delay.
-randomStream :: Parameter (Double, a)
-                -- ^ compute a pair of the delay and event of type @a@
-                -> Stream (Arrival a)
-                -- ^ a stream of delayed events
-randomStream delay = Cons $ loop Nothing where
-  loop t0 =
-    do t1 <- liftDynamics time
-       case t0 of
-         Nothing -> return ()
-         Just t0 ->
-           when (t1 /= t0) $
-           error $
-           "The time of requesting for a new random event is different from " ++
-           "the time when the previous event has arrived. Probably, your model " ++
-           "contains a logical error. The random events should be requested permanently. " ++
-           "At least, they can be lost, for example, when trying to enqueue them, but " ++
-           "the random stream itself must always work: randomStream."
-       (delay, a) <- liftParameter delay
-       holdProcess delay
-       t2 <- liftDynamics time
-       let arrival = Arrival { arrivalValue = a,
-                               arrivalTime  = t2,
-                               arrivalDelay =
-                                 case t0 of
-                                   Nothing -> Nothing
-                                   Just t0 -> Just delay }
-       return (arrival, Cons $ loop (Just t2))
-
--- | Create a new stream with delays distributed uniformly.
-randomUniformStream :: Double
-                       -- ^ the minimum delay
-                       -> Double
-                       -- ^ the maximum delay
-                       -> Stream (Arrival Double)
-                       -- ^ the stream of random events with the delays generated
-randomUniformStream min max =
-  randomStream $
-  randomUniform min max >>= \x ->
-  return (x, x)
-
--- | Create a new stream with integer delays distributed uniformly.
-randomUniformIntStream :: Int
-                          -- ^ the minimum delay
-                          -> Int
-                          -- ^ the maximum delay
-                          -> Stream (Arrival Int)
-                          -- ^ the stream of random events with the delays generated
-randomUniformIntStream min max =
-  randomStream $
-  randomUniformInt min max >>= \x ->
-  return (fromIntegral x, x)
-
--- | Create a new stream with delays distributed normally.
-randomNormalStream :: Double
-                      -- ^ the mean delay
-                      -> Double
-                      -- ^ the delay deviation
-                      -> Stream (Arrival Double)
-                      -- ^ the stream of random events with the delays generated
-randomNormalStream mu nu =
-  randomStream $
-  randomNormal mu nu >>= \x ->
-  return (x, x)
-         
--- | Return a new stream with delays distibuted exponentially with the specified mean
--- (the reciprocal of the rate).
-randomExponentialStream :: Double
-                           -- ^ the mean delay (the reciprocal of the rate)
-                           -> Stream (Arrival Double)
-                           -- ^ the stream of random events with the delays generated
-randomExponentialStream mu =
-  randomStream $
-  randomExponential mu >>= \x ->
-  return (x, x)
-         
--- | Return a new stream with delays having the Erlang distribution with the specified
--- scale (the reciprocal of the rate) and shape parameters.
-randomErlangStream :: Double
-                      -- ^ the scale (the reciprocal of the rate)
-                      -> Int
-                      -- ^ the shape
-                      -> Stream (Arrival Double)
-                      -- ^ the stream of random events with the delays generated
-randomErlangStream beta m =
-  randomStream $
-  randomErlang beta m >>= \x ->
-  return (x, x)
-
--- | Return a new stream with delays having the Poisson distribution with
--- the specified mean.
-randomPoissonStream :: Double
-                       -- ^ the mean delay
-                       -> Stream (Arrival Int)
-                       -- ^ the stream of random events with the delays generated
-randomPoissonStream mu =
-  randomStream $
-  randomPoisson mu >>= \x ->
-  return (fromIntegral x, x)
-
--- | Return a new stream with delays having the binomial distribution with the specified
--- probability and trials.
-randomBinomialStream :: Double
-                        -- ^ the probability
-                        -> Int
-                        -- ^ the number of trials
-                        -> Stream (Arrival Int)
-                        -- ^ the stream of random events with the delays generated
-randomBinomialStream prob trials =
-  randomStream $
-  randomBinomial prob trials >>= \x ->
-  return (fromIntegral x, x)
+
+-- |
+-- Module     : Simulation.Aivika.Stream.Random
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines random streams of events, which are useful
+-- for describing the input of the model.
+--
+
+module Simulation.Aivika.Stream.Random
+       (-- * Stream of Random Events
+        randomStream,
+        randomUniformStream,
+        randomUniformIntStream,
+        randomNormalStream,
+        randomExponentialStream,
+        randomErlangStream,
+        randomPoissonStream,
+        randomBinomialStream) where
+
+import System.Random
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Parameter
+import Simulation.Aivika.Parameter.Random
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Event
+import Simulation.Aivika.Process
+import Simulation.Aivika.Processor
+import Simulation.Aivika.Stream
+import Simulation.Aivika.Statistics
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Arrival
+
+-- | Return a sream of random events that arrive with the specified delay.
+randomStream :: Parameter (Double, a)
+                -- ^ compute a pair of the delay and event of type @a@
+                -> Stream (Arrival a)
+                -- ^ a stream of delayed events
+randomStream delay = Cons $ loop Nothing where
+  loop t0 =
+    do t1 <- liftDynamics time
+       case t0 of
+         Nothing -> return ()
+         Just t0 ->
+           when (t1 /= t0) $
+           error $
+           "The time of requesting for a new random event is different from " ++
+           "the time when the previous event has arrived. Probably, your model " ++
+           "contains a logical error. The random events should be requested permanently. " ++
+           "At least, they can be lost, for example, when trying to enqueue them, but " ++
+           "the random stream itself must always work: randomStream."
+       (delay, a) <- liftParameter delay
+       holdProcess delay
+       t2 <- liftDynamics time
+       let arrival = Arrival { arrivalValue = a,
+                               arrivalTime  = t2,
+                               arrivalDelay =
+                                 case t0 of
+                                   Nothing -> Nothing
+                                   Just t0 -> Just delay }
+       return (arrival, Cons $ loop (Just t2))
+
+-- | Create a new stream with delays distributed uniformly.
+randomUniformStream :: Double
+                       -- ^ the minimum delay
+                       -> Double
+                       -- ^ the maximum delay
+                       -> Stream (Arrival Double)
+                       -- ^ the stream of random events with the delays generated
+randomUniformStream min max =
+  randomStream $
+  randomUniform min max >>= \x ->
+  return (x, x)
+
+-- | Create a new stream with integer delays distributed uniformly.
+randomUniformIntStream :: Int
+                          -- ^ the minimum delay
+                          -> Int
+                          -- ^ the maximum delay
+                          -> Stream (Arrival Int)
+                          -- ^ the stream of random events with the delays generated
+randomUniformIntStream min max =
+  randomStream $
+  randomUniformInt min max >>= \x ->
+  return (fromIntegral x, x)
+
+-- | Create a new stream with delays distributed normally.
+randomNormalStream :: Double
+                      -- ^ the mean delay
+                      -> Double
+                      -- ^ the delay deviation
+                      -> Stream (Arrival Double)
+                      -- ^ the stream of random events with the delays generated
+randomNormalStream mu nu =
+  randomStream $
+  randomNormal mu nu >>= \x ->
+  return (x, x)
+         
+-- | Return a new stream with delays distibuted exponentially with the specified mean
+-- (the reciprocal of the rate).
+randomExponentialStream :: Double
+                           -- ^ the mean delay (the reciprocal of the rate)
+                           -> Stream (Arrival Double)
+                           -- ^ the stream of random events with the delays generated
+randomExponentialStream mu =
+  randomStream $
+  randomExponential mu >>= \x ->
+  return (x, x)
+         
+-- | Return a new stream with delays having the Erlang distribution with the specified
+-- scale (the reciprocal of the rate) and shape parameters.
+randomErlangStream :: Double
+                      -- ^ the scale (the reciprocal of the rate)
+                      -> Int
+                      -- ^ the shape
+                      -> Stream (Arrival Double)
+                      -- ^ the stream of random events with the delays generated
+randomErlangStream beta m =
+  randomStream $
+  randomErlang beta m >>= \x ->
+  return (x, x)
+
+-- | Return a new stream with delays having the Poisson distribution with
+-- the specified mean.
+randomPoissonStream :: Double
+                       -- ^ the mean delay
+                       -> Stream (Arrival Int)
+                       -- ^ the stream of random events with the delays generated
+randomPoissonStream mu =
+  randomStream $
+  randomPoisson mu >>= \x ->
+  return (fromIntegral x, x)
+
+-- | Return a new stream with delays having the binomial distribution with the specified
+-- probability and trials.
+randomBinomialStream :: Double
+                        -- ^ the probability
+                        -> Int
+                        -- ^ the number of trials
+                        -> Stream (Arrival Int)
+                        -- ^ the stream of random events with the delays generated
+randomBinomialStream prob trials =
+  randomStream $
+  randomBinomial prob trials >>= \x ->
+  return (fromIntegral x, x)
diff --git a/Simulation/Aivika/SystemDynamics.hs b/Simulation/Aivika/SystemDynamics.hs
--- a/Simulation/Aivika/SystemDynamics.hs
+++ b/Simulation/Aivika/SystemDynamics.hs
@@ -1,708 +1,708 @@
-
-{-# LANGUAGE BangPatterns, RecursiveDo #-}
-
--- |
--- Module     : Simulation.Aivika.SystemDynamics
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines integrals and other functions of System Dynamics.
---
-
-module Simulation.Aivika.SystemDynamics
-       (-- * Equality and Ordering
-        (.==.),
-        (./=.),
-        (.<.),
-        (.>=.),
-        (.>.),
-        (.<=.),
-        maxDynamics,
-        minDynamics,
-        ifDynamics,
-        -- * Ordinary Differential Equations
-        integ,
-        smoothI,
-        smooth,
-        smooth3I,
-        smooth3,
-        smoothNI,
-        smoothN,
-        delay1I,
-        delay1,
-        delay3I,
-        delay3,
-        delayNI,
-        delayN,
-        forecast,
-        trend,
-        -- * Difference Equations
-        diffsum,
-        -- * Table Functions
-        lookupDynamics,
-        lookupStepwiseDynamics,
-        -- * Discrete Functions
-        delay,
-        delayI,
-        step,
-        pulse,
-        pulseP,
-        ramp,
-        -- * Financial Functions
-        npv,
-        npve) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Parameter
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Dynamics.Interpolate
-import Simulation.Aivika.Unboxed
-import Simulation.Aivika.Table
-
-import qualified Simulation.Aivika.Dynamics.Memo as M
-import qualified Simulation.Aivika.Dynamics.Memo.Unboxed as MU
-
---
--- Equality and Ordering
---
-
--- | Compare for equality.
-(.==.) :: (Eq a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(.==.) = liftM2 (==)
-
--- | Compare for inequality.
-(./=.) :: (Eq a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(./=.) = liftM2 (/=)
-
--- | Compare for ordering.
-(.<.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(.<.) = liftM2 (<)
-
--- | Compare for ordering.
-(.>=.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(.>=.) = liftM2 (>=)
-
--- | Compare for ordering.
-(.>.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(.>.) = liftM2 (>)
-
--- | Compare for ordering.
-(.<=.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
-(.<=.) = liftM2 (<=)
-
--- | Return the maximum.
-maxDynamics :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics a
-maxDynamics = liftM2 max
-
--- | Return the minimum.
-minDynamics :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics a
-minDynamics = liftM2 min
-
--- | Implement the if-then-else operator.
-ifDynamics :: Dynamics Bool -> Dynamics a -> Dynamics a -> Dynamics a
-ifDynamics cond x y =
-  do a <- cond
-     if a then x else y
-
---
--- Ordinary Differential Equations
---
-
-integEuler :: Dynamics Double
-             -> Dynamics Double 
-             -> Dynamics Double 
-             -> Point -> IO Double
-integEuler (Dynamics f) (Dynamics i) (Dynamics y) p = 
-  case pointIteration p of
-    0 -> 
-      i p
-    n -> do 
-      let sc = pointSpecs p
-          ty = basicTime sc (n - 1) 0
-          py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
-      a <- y py
-      b <- f py
-      let !v = a + spcDT (pointSpecs p) * b
-      return v
-
-integRK2 :: Dynamics Double
-           -> Dynamics Double
-           -> Dynamics Double
-           -> Point -> IO Double
-integRK2 (Dynamics f) (Dynamics i) (Dynamics y) p =
-  case pointPhase p of
-    0 -> case pointIteration p of
-      0 ->
-        i p
-      n -> do
-        let sc = pointSpecs p
-            ty = basicTime sc (n - 1) 0
-            t1 = ty
-            t2 = basicTime sc (n - 1) 1
-            py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
-            p1 = py
-            p2 = p { pointTime = t2, pointIteration = n - 1, pointPhase = 1 }
-        vy <- y py
-        k1 <- f p1
-        k2 <- f p2
-        let !v = vy + spcDT sc / 2.0 * (k1 + k2)
-        return v
-    1 -> do
-      let sc = pointSpecs p
-          n  = pointIteration p
-          ty = basicTime sc n 0
-          t1 = ty
-          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
-          p1 = py
-      vy <- y py
-      k1 <- f p1
-      let !v = vy + spcDT sc * k1
-      return v
-    _ -> 
-      error "Incorrect phase: integRK2"
-
-integRK4 :: Dynamics Double
-           -> Dynamics Double
-           -> Dynamics Double
-           -> Point -> IO Double
-integRK4 (Dynamics f) (Dynamics i) (Dynamics y) p =
-  case pointPhase p of
-    0 -> case pointIteration p of
-      0 -> 
-        i p
-      n -> do
-        let sc = pointSpecs p
-            ty = basicTime sc (n - 1) 0
-            t1 = ty
-            t2 = basicTime sc (n - 1) 1
-            t3 = basicTime sc (n - 1) 2
-            t4 = basicTime sc (n - 1) 3
-            py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
-            p1 = py
-            p2 = p { pointTime = t2, pointIteration = n - 1, pointPhase = 1 }
-            p3 = p { pointTime = t3, pointIteration = n - 1, pointPhase = 2 }
-            p4 = p { pointTime = t4, pointIteration = n - 1, pointPhase = 3 }
-        vy <- y py
-        k1 <- f p1
-        k2 <- f p2
-        k3 <- f p3
-        k4 <- f p4
-        let !v = vy + spcDT sc / 6.0 * (k1 + 2.0 * k2 + 2.0 * k3 + k4)
-        return v
-    1 -> do
-      let sc = pointSpecs p
-          n  = pointIteration p
-          ty = basicTime sc n 0
-          t1 = ty
-          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
-          p1 = py
-      vy <- y py
-      k1 <- f p1
-      let !v = vy + spcDT sc / 2.0 * k1
-      return v
-    2 -> do
-      let sc = pointSpecs p
-          n  = pointIteration p
-          ty = basicTime sc n 0
-          t2 = basicTime sc n 1
-          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
-          p2 = p { pointTime = t2, pointIteration = n, pointPhase = 1 }
-      vy <- y py
-      k2 <- f p2
-      let !v = vy + spcDT sc / 2.0 * k2
-      return v
-    3 -> do
-      let sc = pointSpecs p
-          n  = pointIteration p
-          ty = basicTime sc n 0
-          t3 = basicTime sc n 2
-          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
-          p3 = p { pointTime = t3, pointIteration = n, pointPhase = 2 }
-      vy <- y py
-      k3 <- f p3
-      let !v = vy + spcDT sc * k3
-      return v
-    _ -> 
-      error "Incorrect phase: integRK4"
-
--- | Return an integral with the specified derivative and initial value.
---
--- To create a loopback, you should use the recursive do-notation.
--- It allows defining the differential equations unordered as
--- in mathematics:
---
--- @
--- model :: Simulation [Double]
--- model = 
---   mdo a <- integ (- ka * a) 100
---       b <- integ (ka * a - kb * b) 0
---       c <- integ (kb * b) 0
---       let ka = 1
---           kb = 1
---       runDynamicsInStopTime $ sequence [a, b, c]
--- @
-integ :: Dynamics Double                  -- ^ the derivative
-         -> Dynamics Double               -- ^ the initial value
-         -> Simulation (Dynamics Double)  -- ^ the integral
-integ diff i =
-  mdo y <- MU.memoDynamics z
-      z <- Simulation $ \r ->
-        case spcMethod (runSpecs r) of
-          Euler -> return $ Dynamics $ integEuler diff i y
-          RungeKutta2 -> return $ Dynamics $ integRK2 diff i y
-          RungeKutta4 -> return $ Dynamics $ integRK4 diff i y
-      return y
-
--- | Return the first order exponential smooth.
---
--- To create a loopback, you should use the recursive do-notation
--- with help of which the function itself is defined:
---
--- @
--- smoothI x t i =
---   mdo y <- integ ((x - y) \/ t) i
---       return y
--- @     
-smoothI :: Dynamics Double                  -- ^ the value to smooth over time
-           -> Dynamics Double               -- ^ time
-           -> Dynamics Double               -- ^ the initial value
-           -> Simulation (Dynamics Double)  -- ^ the first order exponential smooth
-smoothI x t i =
-  mdo y <- integ ((x - y) / t) i
-      return y
-
--- | Return the first order exponential smooth.
---
--- This is a simplified version of the 'smoothI' function
--- without specifing the initial value.
-smooth :: Dynamics Double                  -- ^ the value to smooth over time
-          -> Dynamics Double               -- ^ time
-          -> Simulation (Dynamics Double)  -- ^ the first order exponential smooth
-smooth x t = smoothI x t x
-
--- | Return the third order exponential smooth.
---
--- To create a loopback, you should use the recursive do-notation
--- with help of which the function itself is defined:
---
--- @
--- smooth3I x t i =
---   mdo y  <- integ ((s2 - y) \/ t') i
---       s2 <- integ ((s1 - s2) \/ t') i
---       s1 <- integ ((x - s1) \/ t') i
---       let t' = t \/ 3.0
---       return y
--- @     
-smooth3I :: Dynamics Double                  -- ^ the value to smooth over time
-            -> Dynamics Double               -- ^ time
-            -> Dynamics Double               -- ^ the initial value
-            -> Simulation (Dynamics Double)  -- ^ the third order exponential smooth
-smooth3I x t i =
-  mdo y  <- integ ((s2 - y) / t') i
-      s2 <- integ ((s1 - s2) / t') i
-      s1 <- integ ((x - s1) / t') i
-      let t' = t / 3.0
-      return y
-
--- | Return the third order exponential smooth.
--- 
--- This is a simplified version of the 'smooth3I' function
--- without specifying the initial value.
-smooth3 :: Dynamics Double                  -- ^ the value to smooth over time
-           -> Dynamics Double               -- ^ time
-           -> Simulation (Dynamics Double)  -- ^ the third order exponential smooth
-smooth3 x t = smooth3I x t x
-
--- | Return the n'th order exponential smooth.
---
--- The result is not discrete in that sense that it may change within the integration time
--- interval depending on the integration method used. Probably, you should apply
--- the 'discreteDynamics' function to the result if you want to achieve an effect when
--- the value is not changed within the time interval, which is used sometimes.
-smoothNI :: Dynamics Double                  -- ^ the value to smooth over time
-            -> Dynamics Double               -- ^ time
-            -> Int                           -- ^ the order
-            -> Dynamics Double               -- ^ the initial value
-            -> Simulation (Dynamics Double)  -- ^ the n'th order exponential smooth
-smoothNI x t n i =
-  mdo s <- forM [1 .. n] $ \k ->
-        if k == 1
-        then integ ((x - a ! 1) / t') i
-        else integ ((a ! (k - 1) - a ! k) / t') i
-      let a  = listArray (1, n) s 
-          t' = t / fromIntegral n
-      return $ a ! n
-
--- | Return the n'th order exponential smooth.
---
--- This is a simplified version of the 'smoothNI' function
--- without specifying the initial value.
-smoothN :: Dynamics Double                  -- ^ the value to smooth over time
-           -> Dynamics Double               -- ^ time
-           -> Int                           -- ^ the order
-           -> Simulation (Dynamics Double)  -- ^ the n'th order exponential smooth
-smoothN x t n = smoothNI x t n x
-
--- | Return the first order exponential delay.
---
--- To create a loopback, you should use the recursive do-notation
--- with help of which the function itself is defined:
---
--- @
--- delay1I x t i =
---   mdo y <- integ (x - y \/ t) (i * t)
---       return $ y \/ t
--- @     
-delay1I :: Dynamics Double                  -- ^ the value to conserve
-           -> Dynamics Double               -- ^ time
-           -> Dynamics Double               -- ^ the initial value
-           -> Simulation (Dynamics Double)  -- ^ the first order exponential delay
-delay1I x t i =
-  mdo y <- integ (x - y / t) (i * t)
-      return $ y / t
-
--- | Return the first order exponential delay.
---
--- This is a simplified version of the 'delay1I' function
--- without specifying the initial value.
-delay1 :: Dynamics Double                  -- ^ the value to conserve
-          -> Dynamics Double               -- ^ time
-          -> Simulation (Dynamics Double)  -- ^ the first order exponential delay
-delay1 x t = delay1I x t x
-
--- | Return the third order exponential delay.
-delay3I :: Dynamics Double                  -- ^ the value to conserve
-           -> Dynamics Double               -- ^ time
-           -> Dynamics Double               -- ^ the initial value
-           -> Simulation (Dynamics Double)  -- ^ the third order exponential delay
-delay3I x t i =
-  mdo y  <- integ (s2 / t' - y / t') (i * t')
-      s2 <- integ (s1 / t' - s2 / t') (i * t')
-      s1 <- integ (x - s1 / t') (i * t')
-      let t' = t / 3.0
-      return $ y / t'         
-
--- | Return the third order exponential delay.
---
--- This is a simplified version of the 'delay3I' function
--- without specifying the initial value.
-delay3 :: Dynamics Double                  -- ^ the value to conserve
-          -> Dynamics Double               -- ^ time
-          -> Simulation (Dynamics Double)  -- ^ the third order exponential delay
-delay3 x t = delay3I x t x
-
--- | Return the n'th order exponential delay.
-delayNI :: Dynamics Double                  -- ^ the value to conserve
-           -> Dynamics Double               -- ^ time
-           -> Int                           -- ^ the order
-           -> Dynamics Double               -- ^ the initial value
-           -> Simulation (Dynamics Double)  -- ^ the n'th order exponential delay
-delayNI x t n i =
-  mdo s <- forM [1 .. n] $ \k ->
-        if k == 1
-        then integ (x - (a ! 1) / t') (i * t')
-        else integ ((a ! (k - 1)) / t' - (a ! k) / t') (i * t')
-      let a  = listArray (1, n) s
-          t' = t / fromIntegral n
-      return $ (a ! n) / t'
-
--- | Return the n'th order exponential delay.
---
--- This is a simplified version of the 'delayNI' function
--- without specifying the initial value.
-delayN :: Dynamics Double                  -- ^ the value to conserve
-          -> Dynamics Double               -- ^ time
-          -> Int                           -- ^ the order
-          -> Simulation (Dynamics Double)  -- ^ the n'th order exponential delay
-delayN x t n = delayNI x t n x
-
--- | Return the forecast.
---
--- The function has the following definition:
---
--- @
--- forecast x at hz =
---   do y <- smooth x at
---      return $ x * (1.0 + (x \/ y - 1.0) \/ at * hz)
--- @
-forecast :: Dynamics Double                  -- ^ the value to forecast
-            -> Dynamics Double               -- ^ the average time
-            -> Dynamics Double               -- ^ the time horizon
-            -> Simulation (Dynamics Double)  -- ^ the forecast
-forecast x at hz =
-  do y <- smooth x at
-     return $ x * (1.0 + (x / y - 1.0) / at * hz)
-
--- | Return the trend.
---
--- The function has the following definition:
---
--- @
--- trend x at i =
---   do y <- smoothI x at (x \/ (1.0 + i * at))
---      return $ (x \/ y - 1.0) \/ at
--- @
-trend :: Dynamics Double                  -- ^ the value for which the trend is calculated
-         -> Dynamics Double               -- ^ the average time
-         -> Dynamics Double               -- ^ the initial value
-         -> Simulation (Dynamics Double)  -- ^ the fractional change rate
-trend x at i =
-  do y <- smoothI x at (x / (1.0 + i * at))
-     return $ (x / y - 1.0) / at
-
---
--- Difference Equations
---
-
--- | Retun the sum for the difference equation.
--- It is like an integral returned by the 'integ' function, only now
--- the difference is used instead of derivative.
---
--- As usual, to create a loopback, you should use the recursive do-notation.
-diffsum :: (Num a, Unboxed a)
-           => Dynamics a               -- ^ the difference
-           -> Dynamics a               -- ^ the initial value
-           -> Simulation (Dynamics a)  -- ^ the sum
-diffsum (Dynamics diff) (Dynamics i) =
-  mdo y <-
-        MU.memo0Dynamics $
-        Dynamics $ \p ->
-        case pointIteration p of
-          0 -> i p
-          n -> do 
-            let Dynamics m = y
-                sc = pointSpecs p
-                ty = basicTime sc (n - 1) 0
-                py = p { pointTime = ty, 
-                         pointIteration = n - 1, 
-                         pointPhase = 0 }
-            a <- m py
-            b <- diff py
-            let !v = a + b
-            return v
-      return y
-
---
--- Table Functions
---
-
--- | Lookup @x@ in a table of pairs @(x, y)@ using linear interpolation.
-lookupDynamics :: Dynamics Double -> Array Int (Double, Double) -> Dynamics Double
-lookupDynamics (Dynamics m) tbl =
-  Dynamics $ \p ->
-  do a <- m p
-     return $ tableLookup a tbl
-
--- | Lookup @x@ in a table of pairs @(x, y)@ using stepwise function.
-lookupStepwiseDynamics :: Dynamics Double -> Array Int (Double, Double) -> Dynamics Double
-lookupStepwiseDynamics (Dynamics m) tbl =
-  Dynamics $ \p ->
-  do a <- m p
-     return $ tableLookupStepwise a tbl
-
---
--- Discrete Functions
---
-
--- | Return the delayed value using the specified lag time.
-delay :: Dynamics a          -- ^ the value to delay
-         -> Dynamics Double  -- ^ the lag time
-         -> Dynamics a       -- ^ the delayed value
-delay (Dynamics x) (Dynamics d) = discreteDynamics $ Dynamics r 
-  where
-    r p = do 
-      let t  = pointTime p
-          sc = pointSpecs p
-          n  = pointIteration p
-      a <- d p
-      let t' = t - a
-          n' = fromIntegral $ floor $ (t' - spcStartTime sc) / spcDT sc
-          y | n' < 0    = x $ p { pointTime = spcStartTime sc,
-                                  pointIteration = 0, 
-                                  pointPhase = 0 }
-            | n' < n    = x $ p { pointTime = t',
-                                  pointIteration = n',
-                                  pointPhase = -1 }
-            | n' > n    = error $
-                          "Cannot return the future data: delay. " ++
-                          "The lag time cannot be negative."
-            | otherwise = error $
-                          "Cannot return the current data: delay. " ++
-                          "The lag time is too small."
-      y
-
--- | Return the delayed value using the specified lag time and initial value.
--- Because of the latter, it allows creating a loop back.
-delayI :: Dynamics a          -- ^ the value to delay
-          -> Dynamics Double  -- ^ the lag time
-          -> Dynamics a       -- ^ the initial value
-          -> Simulation (Dynamics a)    -- ^ the delayed value
-delayI (Dynamics x) (Dynamics d) (Dynamics i) = M.memo0Dynamics $ Dynamics r 
-  where
-    r p = do 
-      let t  = pointTime p
-          sc = pointSpecs p
-          n  = pointIteration p
-      a <- d p
-      let t' = t - a
-          n' = fromIntegral $ floor $ (t' - spcStartTime sc) / spcDT sc
-          y | n' < 0    = i $ p { pointTime = spcStartTime sc,
-                                  pointIteration = 0, 
-                                  pointPhase = 0 }
-            | n' < n    = x $ p { pointTime = t',
-                                  pointIteration = n',
-                                  pointPhase = -1 }
-            | n' > n    = error $
-                          "Cannot return the future data: delay. " ++
-                          "The lag time cannot be negative."
-            | otherwise = error $
-                          "Cannot return the current data: delay. " ++
-                          "The lag time is too small."
-      y
-
---
--- Financial Functions
---
-
--- | Return the Net Present Value (NPV) of the stream computed using the specified
--- discount rate, the initial value and some factor (usually 1).
---
--- It is defined in the following way:
---
--- @
--- npv stream rate init factor =
---   mdo let dt' = liftParameter dt
---       df <- integ (- df * rate) 1
---       accum <- integ (stream * df) init
---       return $ (accum + dt' * stream * df) * factor
--- @
-npv :: Dynamics Double                  -- ^ the stream
-       -> Dynamics Double               -- ^ the discount rate
-       -> Dynamics Double               -- ^ the initial value
-       -> Dynamics Double               -- ^ factor
-       -> Simulation (Dynamics Double)  -- ^ the Net Present Value (NPV)
-npv stream rate init factor =
-  mdo let dt' = liftParameter dt
-      df <- integ (- df * rate) 1
-      accum <- integ (stream * df) init
-      return $ (accum + dt' * stream * df) * factor
-
--- | Return the Net Present Value End of period (NPVE) of the stream computed
--- using the specified discount rate, the initial value and some factor.
---
--- It is defined in the following way:
---
--- @
--- npve stream rate init factor =
---   mdo let dt' = liftParameter dt
---       df <- integ (- df * rate \/ (1 + rate * dt')) (1 \/ (1 + rate * dt'))
---       accum <- integ (stream * df) init
---       return $ (accum + dt' * stream * df) * factor
--- @
-npve :: Dynamics Double                  -- ^ the stream
-        -> Dynamics Double               -- ^ the discount rate
-        -> Dynamics Double               -- ^ the initial value
-        -> Dynamics Double               -- ^ factor
-        -> Simulation (Dynamics Double)  -- ^ the Net Present Value End (NPVE)
-npve stream rate init factor =
-  mdo let dt' = liftParameter dt
-      df <- integ (- df * rate / (1 + rate * dt')) (1 / (1 + rate * dt'))
-      accum <- integ (stream * df) init
-      return $ (accum + dt' * stream * df) * factor
-
--- | Computation that returns 0 until the step time and then returns the specified height.
-step :: Dynamics Double
-        -- ^ the height
-        -> Dynamics Double
-        -- ^ the step time
-        -> Dynamics Double
-step h st =
-  discreteDynamics $
-  Dynamics $ \p ->
-  do let sc = pointSpecs p
-         t  = pointTime p
-     st' <- invokeDynamics p st
-     let t' = t + spcDT sc / 2
-     if st' < t'
-       then invokeDynamics p h
-       else return 0
-
--- | Computation that returns 1, starting at the time start, and lasting for the interval
--- width; 0 is returned at all other times.
-pulse :: Dynamics Double
-         -- ^ the time start
-         -> Dynamics Double
-         -- ^ the interval width
-         -> Dynamics Double
-pulse st w =
-  discreteDynamics $
-  Dynamics $ \p ->
-  do let sc = pointSpecs p
-         t  = pointTime p
-     st' <- invokeDynamics p st
-     let t' = t + spcDT sc / 2
-     if st' < t'
-       then do w' <- invokeDynamics p w
-               return $ if t' < st' + w' then 1 else 0
-       else return 0
-
--- | Computation that returns 1, starting at the time start, and lasting for the interval
--- width and then repeats this pattern with the specified period; 0 is returned at all
--- other times.
-pulseP :: Dynamics Double
-          -- ^ the time start
-          -> Dynamics Double
-          -- ^ the interval width
-          -> Dynamics Double
-          -- ^ the time period
-          -> Dynamics Double
-pulseP st w period =
-  discreteDynamics $
-  Dynamics $ \p ->
-  do let sc = pointSpecs p
-         t  = pointTime p
-     p'  <- invokeDynamics p period
-     st' <- invokeDynamics p st
-     let y' = if (p' > 0) && (t > st')
-              then fromIntegral (floor $ (t - st') / p') * p'
-              else 0
-     let st' = st' + y'
-     let t' = t + spcDT sc / 2
-     if st' < t'
-       then do w' <- invokeDynamics p w
-               return $ if t' < st' + w' then 1 else 0
-       else return 0
-
--- | Computation that returns 0 until the specified time start and then
--- slopes upward until the end time and then holds constant.
-ramp :: Dynamics Double
-        -- ^ the slope parameter
-        -> Dynamics Double
-        -- ^ the time start
-        -> Dynamics Double
-        -- ^ the end time
-        -> Dynamics Double
-ramp slope st e =
-  discreteDynamics $
-  Dynamics $ \p ->
-  do let sc = pointSpecs p
-         t  = pointTime p
-     st' <- invokeDynamics p st
-     if st' < t
-       then do slope' <- invokeDynamics p slope
-               e' <- invokeDynamics p e
-               if t < e'
-                 then return $ slope' * (t - st')
-                 else return $ slope' * (e' - st')
-       else return 0
-        
+
+{-# LANGUAGE BangPatterns, RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.SystemDynamics
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines integrals and other functions of System Dynamics.
+--
+
+module Simulation.Aivika.SystemDynamics
+       (-- * Equality and Ordering
+        (.==.),
+        (./=.),
+        (.<.),
+        (.>=.),
+        (.>.),
+        (.<=.),
+        maxDynamics,
+        minDynamics,
+        ifDynamics,
+        -- * Ordinary Differential Equations
+        integ,
+        smoothI,
+        smooth,
+        smooth3I,
+        smooth3,
+        smoothNI,
+        smoothN,
+        delay1I,
+        delay1,
+        delay3I,
+        delay3,
+        delayNI,
+        delayN,
+        forecast,
+        trend,
+        -- * Difference Equations
+        diffsum,
+        -- * Table Functions
+        lookupDynamics,
+        lookupStepwiseDynamics,
+        -- * Discrete Functions
+        delay,
+        delayI,
+        step,
+        pulse,
+        pulseP,
+        ramp,
+        -- * Financial Functions
+        npv,
+        npve) where
+
+import Data.Array
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Parameter
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Unboxed
+import Simulation.Aivika.Table
+
+import qualified Simulation.Aivika.Dynamics.Memo as M
+import qualified Simulation.Aivika.Dynamics.Memo.Unboxed as MU
+
+--
+-- Equality and Ordering
+--
+
+-- | Compare for equality.
+(.==.) :: (Eq a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(.==.) = liftM2 (==)
+
+-- | Compare for inequality.
+(./=.) :: (Eq a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(./=.) = liftM2 (/=)
+
+-- | Compare for ordering.
+(.<.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(.<.) = liftM2 (<)
+
+-- | Compare for ordering.
+(.>=.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(.>=.) = liftM2 (>=)
+
+-- | Compare for ordering.
+(.>.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(.>.) = liftM2 (>)
+
+-- | Compare for ordering.
+(.<=.) :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics Bool
+(.<=.) = liftM2 (<=)
+
+-- | Return the maximum.
+maxDynamics :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics a
+maxDynamics = liftM2 max
+
+-- | Return the minimum.
+minDynamics :: (Ord a) => Dynamics a -> Dynamics a -> Dynamics a
+minDynamics = liftM2 min
+
+-- | Implement the if-then-else operator.
+ifDynamics :: Dynamics Bool -> Dynamics a -> Dynamics a -> Dynamics a
+ifDynamics cond x y =
+  do a <- cond
+     if a then x else y
+
+--
+-- Ordinary Differential Equations
+--
+
+integEuler :: Dynamics Double
+             -> Dynamics Double 
+             -> Dynamics Double 
+             -> Point -> IO Double
+integEuler (Dynamics f) (Dynamics i) (Dynamics y) p = 
+  case pointIteration p of
+    0 -> 
+      i p
+    n -> do 
+      let sc = pointSpecs p
+          ty = basicTime sc (n - 1) 0
+          py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
+      a <- y py
+      b <- f py
+      let !v = a + spcDT (pointSpecs p) * b
+      return v
+
+integRK2 :: Dynamics Double
+           -> Dynamics Double
+           -> Dynamics Double
+           -> Point -> IO Double
+integRK2 (Dynamics f) (Dynamics i) (Dynamics y) p =
+  case pointPhase p of
+    0 -> case pointIteration p of
+      0 ->
+        i p
+      n -> do
+        let sc = pointSpecs p
+            ty = basicTime sc (n - 1) 0
+            t1 = ty
+            t2 = basicTime sc (n - 1) 1
+            py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
+            p1 = py
+            p2 = p { pointTime = t2, pointIteration = n - 1, pointPhase = 1 }
+        vy <- y py
+        k1 <- f p1
+        k2 <- f p2
+        let !v = vy + spcDT sc / 2.0 * (k1 + k2)
+        return v
+    1 -> do
+      let sc = pointSpecs p
+          n  = pointIteration p
+          ty = basicTime sc n 0
+          t1 = ty
+          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
+          p1 = py
+      vy <- y py
+      k1 <- f p1
+      let !v = vy + spcDT sc * k1
+      return v
+    _ -> 
+      error "Incorrect phase: integRK2"
+
+integRK4 :: Dynamics Double
+           -> Dynamics Double
+           -> Dynamics Double
+           -> Point -> IO Double
+integRK4 (Dynamics f) (Dynamics i) (Dynamics y) p =
+  case pointPhase p of
+    0 -> case pointIteration p of
+      0 -> 
+        i p
+      n -> do
+        let sc = pointSpecs p
+            ty = basicTime sc (n - 1) 0
+            t1 = ty
+            t2 = basicTime sc (n - 1) 1
+            t3 = basicTime sc (n - 1) 2
+            t4 = basicTime sc (n - 1) 3
+            py = p { pointTime = ty, pointIteration = n - 1, pointPhase = 0 }
+            p1 = py
+            p2 = p { pointTime = t2, pointIteration = n - 1, pointPhase = 1 }
+            p3 = p { pointTime = t3, pointIteration = n - 1, pointPhase = 2 }
+            p4 = p { pointTime = t4, pointIteration = n - 1, pointPhase = 3 }
+        vy <- y py
+        k1 <- f p1
+        k2 <- f p2
+        k3 <- f p3
+        k4 <- f p4
+        let !v = vy + spcDT sc / 6.0 * (k1 + 2.0 * k2 + 2.0 * k3 + k4)
+        return v
+    1 -> do
+      let sc = pointSpecs p
+          n  = pointIteration p
+          ty = basicTime sc n 0
+          t1 = ty
+          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
+          p1 = py
+      vy <- y py
+      k1 <- f p1
+      let !v = vy + spcDT sc / 2.0 * k1
+      return v
+    2 -> do
+      let sc = pointSpecs p
+          n  = pointIteration p
+          ty = basicTime sc n 0
+          t2 = basicTime sc n 1
+          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
+          p2 = p { pointTime = t2, pointIteration = n, pointPhase = 1 }
+      vy <- y py
+      k2 <- f p2
+      let !v = vy + spcDT sc / 2.0 * k2
+      return v
+    3 -> do
+      let sc = pointSpecs p
+          n  = pointIteration p
+          ty = basicTime sc n 0
+          t3 = basicTime sc n 2
+          py = p { pointTime = ty, pointIteration = n, pointPhase = 0 }
+          p3 = p { pointTime = t3, pointIteration = n, pointPhase = 2 }
+      vy <- y py
+      k3 <- f p3
+      let !v = vy + spcDT sc * k3
+      return v
+    _ -> 
+      error "Incorrect phase: integRK4"
+
+-- | Return an integral with the specified derivative and initial value.
+--
+-- To create a loopback, you should use the recursive do-notation.
+-- It allows defining the differential equations unordered as
+-- in mathematics:
+--
+-- @
+-- model :: Simulation [Double]
+-- model = 
+--   mdo a <- integ (- ka * a) 100
+--       b <- integ (ka * a - kb * b) 0
+--       c <- integ (kb * b) 0
+--       let ka = 1
+--           kb = 1
+--       runDynamicsInStopTime $ sequence [a, b, c]
+-- @
+integ :: Dynamics Double                  -- ^ the derivative
+         -> Dynamics Double               -- ^ the initial value
+         -> Simulation (Dynamics Double)  -- ^ the integral
+integ diff i =
+  mdo y <- MU.memoDynamics z
+      z <- Simulation $ \r ->
+        case spcMethod (runSpecs r) of
+          Euler -> return $ Dynamics $ integEuler diff i y
+          RungeKutta2 -> return $ Dynamics $ integRK2 diff i y
+          RungeKutta4 -> return $ Dynamics $ integRK4 diff i y
+      return y
+
+-- | Return the first order exponential smooth.
+--
+-- To create a loopback, you should use the recursive do-notation
+-- with help of which the function itself is defined:
+--
+-- @
+-- smoothI x t i =
+--   mdo y <- integ ((x - y) \/ t) i
+--       return y
+-- @     
+smoothI :: Dynamics Double                  -- ^ the value to smooth over time
+           -> Dynamics Double               -- ^ time
+           -> Dynamics Double               -- ^ the initial value
+           -> Simulation (Dynamics Double)  -- ^ the first order exponential smooth
+smoothI x t i =
+  mdo y <- integ ((x - y) / t) i
+      return y
+
+-- | Return the first order exponential smooth.
+--
+-- This is a simplified version of the 'smoothI' function
+-- without specifing the initial value.
+smooth :: Dynamics Double                  -- ^ the value to smooth over time
+          -> Dynamics Double               -- ^ time
+          -> Simulation (Dynamics Double)  -- ^ the first order exponential smooth
+smooth x t = smoothI x t x
+
+-- | Return the third order exponential smooth.
+--
+-- To create a loopback, you should use the recursive do-notation
+-- with help of which the function itself is defined:
+--
+-- @
+-- smooth3I x t i =
+--   mdo y  <- integ ((s2 - y) \/ t') i
+--       s2 <- integ ((s1 - s2) \/ t') i
+--       s1 <- integ ((x - s1) \/ t') i
+--       let t' = t \/ 3.0
+--       return y
+-- @     
+smooth3I :: Dynamics Double                  -- ^ the value to smooth over time
+            -> Dynamics Double               -- ^ time
+            -> Dynamics Double               -- ^ the initial value
+            -> Simulation (Dynamics Double)  -- ^ the third order exponential smooth
+smooth3I x t i =
+  mdo y  <- integ ((s2 - y) / t') i
+      s2 <- integ ((s1 - s2) / t') i
+      s1 <- integ ((x - s1) / t') i
+      let t' = t / 3.0
+      return y
+
+-- | Return the third order exponential smooth.
+-- 
+-- This is a simplified version of the 'smooth3I' function
+-- without specifying the initial value.
+smooth3 :: Dynamics Double                  -- ^ the value to smooth over time
+           -> Dynamics Double               -- ^ time
+           -> Simulation (Dynamics Double)  -- ^ the third order exponential smooth
+smooth3 x t = smooth3I x t x
+
+-- | Return the n'th order exponential smooth.
+--
+-- The result is not discrete in that sense that it may change within the integration time
+-- interval depending on the integration method used. Probably, you should apply
+-- the 'discreteDynamics' function to the result if you want to achieve an effect when
+-- the value is not changed within the time interval, which is used sometimes.
+smoothNI :: Dynamics Double                  -- ^ the value to smooth over time
+            -> Dynamics Double               -- ^ time
+            -> Int                           -- ^ the order
+            -> Dynamics Double               -- ^ the initial value
+            -> Simulation (Dynamics Double)  -- ^ the n'th order exponential smooth
+smoothNI x t n i =
+  mdo s <- forM [1 .. n] $ \k ->
+        if k == 1
+        then integ ((x - a ! 1) / t') i
+        else integ ((a ! (k - 1) - a ! k) / t') i
+      let a  = listArray (1, n) s 
+          t' = t / fromIntegral n
+      return $ a ! n
+
+-- | Return the n'th order exponential smooth.
+--
+-- This is a simplified version of the 'smoothNI' function
+-- without specifying the initial value.
+smoothN :: Dynamics Double                  -- ^ the value to smooth over time
+           -> Dynamics Double               -- ^ time
+           -> Int                           -- ^ the order
+           -> Simulation (Dynamics Double)  -- ^ the n'th order exponential smooth
+smoothN x t n = smoothNI x t n x
+
+-- | Return the first order exponential delay.
+--
+-- To create a loopback, you should use the recursive do-notation
+-- with help of which the function itself is defined:
+--
+-- @
+-- delay1I x t i =
+--   mdo y <- integ (x - y \/ t) (i * t)
+--       return $ y \/ t
+-- @     
+delay1I :: Dynamics Double                  -- ^ the value to conserve
+           -> Dynamics Double               -- ^ time
+           -> Dynamics Double               -- ^ the initial value
+           -> Simulation (Dynamics Double)  -- ^ the first order exponential delay
+delay1I x t i =
+  mdo y <- integ (x - y / t) (i * t)
+      return $ y / t
+
+-- | Return the first order exponential delay.
+--
+-- This is a simplified version of the 'delay1I' function
+-- without specifying the initial value.
+delay1 :: Dynamics Double                  -- ^ the value to conserve
+          -> Dynamics Double               -- ^ time
+          -> Simulation (Dynamics Double)  -- ^ the first order exponential delay
+delay1 x t = delay1I x t x
+
+-- | Return the third order exponential delay.
+delay3I :: Dynamics Double                  -- ^ the value to conserve
+           -> Dynamics Double               -- ^ time
+           -> Dynamics Double               -- ^ the initial value
+           -> Simulation (Dynamics Double)  -- ^ the third order exponential delay
+delay3I x t i =
+  mdo y  <- integ (s2 / t' - y / t') (i * t')
+      s2 <- integ (s1 / t' - s2 / t') (i * t')
+      s1 <- integ (x - s1 / t') (i * t')
+      let t' = t / 3.0
+      return $ y / t'         
+
+-- | Return the third order exponential delay.
+--
+-- This is a simplified version of the 'delay3I' function
+-- without specifying the initial value.
+delay3 :: Dynamics Double                  -- ^ the value to conserve
+          -> Dynamics Double               -- ^ time
+          -> Simulation (Dynamics Double)  -- ^ the third order exponential delay
+delay3 x t = delay3I x t x
+
+-- | Return the n'th order exponential delay.
+delayNI :: Dynamics Double                  -- ^ the value to conserve
+           -> Dynamics Double               -- ^ time
+           -> Int                           -- ^ the order
+           -> Dynamics Double               -- ^ the initial value
+           -> Simulation (Dynamics Double)  -- ^ the n'th order exponential delay
+delayNI x t n i =
+  mdo s <- forM [1 .. n] $ \k ->
+        if k == 1
+        then integ (x - (a ! 1) / t') (i * t')
+        else integ ((a ! (k - 1)) / t' - (a ! k) / t') (i * t')
+      let a  = listArray (1, n) s
+          t' = t / fromIntegral n
+      return $ (a ! n) / t'
+
+-- | Return the n'th order exponential delay.
+--
+-- This is a simplified version of the 'delayNI' function
+-- without specifying the initial value.
+delayN :: Dynamics Double                  -- ^ the value to conserve
+          -> Dynamics Double               -- ^ time
+          -> Int                           -- ^ the order
+          -> Simulation (Dynamics Double)  -- ^ the n'th order exponential delay
+delayN x t n = delayNI x t n x
+
+-- | Return the forecast.
+--
+-- The function has the following definition:
+--
+-- @
+-- forecast x at hz =
+--   do y <- smooth x at
+--      return $ x * (1.0 + (x \/ y - 1.0) \/ at * hz)
+-- @
+forecast :: Dynamics Double                  -- ^ the value to forecast
+            -> Dynamics Double               -- ^ the average time
+            -> Dynamics Double               -- ^ the time horizon
+            -> Simulation (Dynamics Double)  -- ^ the forecast
+forecast x at hz =
+  do y <- smooth x at
+     return $ x * (1.0 + (x / y - 1.0) / at * hz)
+
+-- | Return the trend.
+--
+-- The function has the following definition:
+--
+-- @
+-- trend x at i =
+--   do y <- smoothI x at (x \/ (1.0 + i * at))
+--      return $ (x \/ y - 1.0) \/ at
+-- @
+trend :: Dynamics Double                  -- ^ the value for which the trend is calculated
+         -> Dynamics Double               -- ^ the average time
+         -> Dynamics Double               -- ^ the initial value
+         -> Simulation (Dynamics Double)  -- ^ the fractional change rate
+trend x at i =
+  do y <- smoothI x at (x / (1.0 + i * at))
+     return $ (x / y - 1.0) / at
+
+--
+-- Difference Equations
+--
+
+-- | Retun the sum for the difference equation.
+-- It is like an integral returned by the 'integ' function, only now
+-- the difference is used instead of derivative.
+--
+-- As usual, to create a loopback, you should use the recursive do-notation.
+diffsum :: (Num a, Unboxed a)
+           => Dynamics a               -- ^ the difference
+           -> Dynamics a               -- ^ the initial value
+           -> Simulation (Dynamics a)  -- ^ the sum
+diffsum (Dynamics diff) (Dynamics i) =
+  mdo y <-
+        MU.memo0Dynamics $
+        Dynamics $ \p ->
+        case pointIteration p of
+          0 -> i p
+          n -> do 
+            let Dynamics m = y
+                sc = pointSpecs p
+                ty = basicTime sc (n - 1) 0
+                py = p { pointTime = ty, 
+                         pointIteration = n - 1, 
+                         pointPhase = 0 }
+            a <- m py
+            b <- diff py
+            let !v = a + b
+            return v
+      return y
+
+--
+-- Table Functions
+--
+
+-- | Lookup @x@ in a table of pairs @(x, y)@ using linear interpolation.
+lookupDynamics :: Dynamics Double -> Array Int (Double, Double) -> Dynamics Double
+lookupDynamics (Dynamics m) tbl =
+  Dynamics $ \p ->
+  do a <- m p
+     return $ tableLookup a tbl
+
+-- | Lookup @x@ in a table of pairs @(x, y)@ using stepwise function.
+lookupStepwiseDynamics :: Dynamics Double -> Array Int (Double, Double) -> Dynamics Double
+lookupStepwiseDynamics (Dynamics m) tbl =
+  Dynamics $ \p ->
+  do a <- m p
+     return $ tableLookupStepwise a tbl
+
+--
+-- Discrete Functions
+--
+
+-- | Return the delayed value using the specified lag time.
+delay :: Dynamics a          -- ^ the value to delay
+         -> Dynamics Double  -- ^ the lag time
+         -> Dynamics a       -- ^ the delayed value
+delay (Dynamics x) (Dynamics d) = discreteDynamics $ Dynamics r 
+  where
+    r p = do 
+      let t  = pointTime p
+          sc = pointSpecs p
+          n  = pointIteration p
+      a <- d p
+      let t' = t - a
+          n' = fromIntegral $ floor $ (t' - spcStartTime sc) / spcDT sc
+          y | n' < 0    = x $ p { pointTime = spcStartTime sc,
+                                  pointIteration = 0, 
+                                  pointPhase = 0 }
+            | n' < n    = x $ p { pointTime = t',
+                                  pointIteration = n',
+                                  pointPhase = -1 }
+            | n' > n    = error $
+                          "Cannot return the future data: delay. " ++
+                          "The lag time cannot be negative."
+            | otherwise = error $
+                          "Cannot return the current data: delay. " ++
+                          "The lag time is too small."
+      y
+
+-- | Return the delayed value using the specified lag time and initial value.
+-- Because of the latter, it allows creating a loop back.
+delayI :: Dynamics a          -- ^ the value to delay
+          -> Dynamics Double  -- ^ the lag time
+          -> Dynamics a       -- ^ the initial value
+          -> Simulation (Dynamics a)    -- ^ the delayed value
+delayI (Dynamics x) (Dynamics d) (Dynamics i) = M.memo0Dynamics $ Dynamics r 
+  where
+    r p = do 
+      let t  = pointTime p
+          sc = pointSpecs p
+          n  = pointIteration p
+      a <- d p
+      let t' = t - a
+          n' = fromIntegral $ floor $ (t' - spcStartTime sc) / spcDT sc
+          y | n' < 0    = i $ p { pointTime = spcStartTime sc,
+                                  pointIteration = 0, 
+                                  pointPhase = 0 }
+            | n' < n    = x $ p { pointTime = t',
+                                  pointIteration = n',
+                                  pointPhase = -1 }
+            | n' > n    = error $
+                          "Cannot return the future data: delay. " ++
+                          "The lag time cannot be negative."
+            | otherwise = error $
+                          "Cannot return the current data: delay. " ++
+                          "The lag time is too small."
+      y
+
+--
+-- Financial Functions
+--
+
+-- | Return the Net Present Value (NPV) of the stream computed using the specified
+-- discount rate, the initial value and some factor (usually 1).
+--
+-- It is defined in the following way:
+--
+-- @
+-- npv stream rate init factor =
+--   mdo let dt' = liftParameter dt
+--       df <- integ (- df * rate) 1
+--       accum <- integ (stream * df) init
+--       return $ (accum + dt' * stream * df) * factor
+-- @
+npv :: Dynamics Double                  -- ^ the stream
+       -> Dynamics Double               -- ^ the discount rate
+       -> Dynamics Double               -- ^ the initial value
+       -> Dynamics Double               -- ^ factor
+       -> Simulation (Dynamics Double)  -- ^ the Net Present Value (NPV)
+npv stream rate init factor =
+  mdo let dt' = liftParameter dt
+      df <- integ (- df * rate) 1
+      accum <- integ (stream * df) init
+      return $ (accum + dt' * stream * df) * factor
+
+-- | Return the Net Present Value End of period (NPVE) of the stream computed
+-- using the specified discount rate, the initial value and some factor.
+--
+-- It is defined in the following way:
+--
+-- @
+-- npve stream rate init factor =
+--   mdo let dt' = liftParameter dt
+--       df <- integ (- df * rate \/ (1 + rate * dt')) (1 \/ (1 + rate * dt'))
+--       accum <- integ (stream * df) init
+--       return $ (accum + dt' * stream * df) * factor
+-- @
+npve :: Dynamics Double                  -- ^ the stream
+        -> Dynamics Double               -- ^ the discount rate
+        -> Dynamics Double               -- ^ the initial value
+        -> Dynamics Double               -- ^ factor
+        -> Simulation (Dynamics Double)  -- ^ the Net Present Value End (NPVE)
+npve stream rate init factor =
+  mdo let dt' = liftParameter dt
+      df <- integ (- df * rate / (1 + rate * dt')) (1 / (1 + rate * dt'))
+      accum <- integ (stream * df) init
+      return $ (accum + dt' * stream * df) * factor
+
+-- | Computation that returns 0 until the step time and then returns the specified height.
+step :: Dynamics Double
+        -- ^ the height
+        -> Dynamics Double
+        -- ^ the step time
+        -> Dynamics Double
+step h st =
+  discreteDynamics $
+  Dynamics $ \p ->
+  do let sc = pointSpecs p
+         t  = pointTime p
+     st' <- invokeDynamics p st
+     let t' = t + spcDT sc / 2
+     if st' < t'
+       then invokeDynamics p h
+       else return 0
+
+-- | Computation that returns 1, starting at the time start, and lasting for the interval
+-- width; 0 is returned at all other times.
+pulse :: Dynamics Double
+         -- ^ the time start
+         -> Dynamics Double
+         -- ^ the interval width
+         -> Dynamics Double
+pulse st w =
+  discreteDynamics $
+  Dynamics $ \p ->
+  do let sc = pointSpecs p
+         t  = pointTime p
+     st' <- invokeDynamics p st
+     let t' = t + spcDT sc / 2
+     if st' < t'
+       then do w' <- invokeDynamics p w
+               return $ if t' < st' + w' then 1 else 0
+       else return 0
+
+-- | Computation that returns 1, starting at the time start, and lasting for the interval
+-- width and then repeats this pattern with the specified period; 0 is returned at all
+-- other times.
+pulseP :: Dynamics Double
+          -- ^ the time start
+          -> Dynamics Double
+          -- ^ the interval width
+          -> Dynamics Double
+          -- ^ the time period
+          -> Dynamics Double
+pulseP st w period =
+  discreteDynamics $
+  Dynamics $ \p ->
+  do let sc = pointSpecs p
+         t  = pointTime p
+     p'  <- invokeDynamics p period
+     st' <- invokeDynamics p st
+     let y' = if (p' > 0) && (t > st')
+              then fromIntegral (floor $ (t - st') / p') * p'
+              else 0
+     let st' = st' + y'
+     let t' = t + spcDT sc / 2
+     if st' < t'
+       then do w' <- invokeDynamics p w
+               return $ if t' < st' + w' then 1 else 0
+       else return 0
+
+-- | Computation that returns 0 until the specified time start and then
+-- slopes upward until the end time and then holds constant.
+ramp :: Dynamics Double
+        -- ^ the slope parameter
+        -> Dynamics Double
+        -- ^ the time start
+        -> Dynamics Double
+        -- ^ the end time
+        -> Dynamics Double
+ramp slope st e =
+  discreteDynamics $
+  Dynamics $ \p ->
+  do let sc = pointSpecs p
+         t  = pointTime p
+     st' <- invokeDynamics p st
+     if st' < t
+       then do slope' <- invokeDynamics p slope
+               e' <- invokeDynamics p e
+               if t < e'
+                 then return $ slope' * (t - st')
+                 else return $ slope' * (e' - st')
+       else return 0
+        
diff --git a/Simulation/Aivika/Table.hs b/Simulation/Aivika/Table.hs
--- a/Simulation/Aivika/Table.hs
+++ b/Simulation/Aivika/Table.hs
@@ -1,64 +1,64 @@
-
--- |
--- Module     : Simulation.Aivika.Table
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- It defines the table functions.
---
-module Simulation.Aivika.Table
-       (tableLookup,
-        tableLookupStepwise) where
-
-import Data.Array
-
--- | Lookup @x@ in a table of pairs @(x, y)@ using linear interpolation.
-tableLookup :: Double -> Array Int (Double, Double) -> Double
-tableLookup x tbl = find first last x
-  where
-    (first, last) = bounds tbl
-    find left right x =
-      if left > right then
-        error "Incorrect index: tableLookup"
-      else
-        let index = (left + 1 + right) `div` 2
-            x1    = fst $ tbl ! index
-        in if x1 <= x then 
-             let y | index < right = find index right x
-                   | right == last = snd $ tbl ! right
-                   | otherwise     = 
-                     let x2 = fst $ tbl ! (index + 1)
-                         y1 = snd $ tbl ! index
-                         y2 = snd $ tbl ! (index + 1)
-                     in y1 + (y2 - y1) * (x - x1) / (x2 - x1) 
-             in y
-           else
-             let y | left < index  = find left (index - 1) x
-                   | left == first = snd $ tbl ! left
-                   | otherwise     = error "Incorrect index: tableLookup"
-             in y
-
--- | Lookup @x@ in a table of pairs @(x, y)@ using stepwise function.
-tableLookupStepwise :: Double -> Array Int (Double, Double) -> Double
-tableLookupStepwise x tbl = find first last x
-  where
-    (first, last) = bounds tbl
-    find left right x =
-      if left > right then
-        error "Incorrect index: tableLookupStepwise"
-      else
-        let index = (left + 1 + right) `div` 2
-            x1    = fst $ tbl ! index
-        in if x1 <= x then 
-             let y | index < right = find index right x
-                   | right == last = snd $ tbl ! right
-                   | otherwise     = snd $ tbl ! right
-             in y
-           else
-             let y | left < index  = find left (index - 1) x
-                   | left == first = snd $ tbl ! left
-                   | otherwise     = error "Incorrect index: tableLookupStepwise"
-             in y
+
+-- |
+-- Module     : Simulation.Aivika.Table
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- It defines the table functions.
+--
+module Simulation.Aivika.Table
+       (tableLookup,
+        tableLookupStepwise) where
+
+import Data.Array
+
+-- | Lookup @x@ in a table of pairs @(x, y)@ using linear interpolation.
+tableLookup :: Double -> Array Int (Double, Double) -> Double
+tableLookup x tbl = find first last x
+  where
+    (first, last) = bounds tbl
+    find left right x =
+      if left > right then
+        error "Incorrect index: tableLookup"
+      else
+        let index = (left + 1 + right) `div` 2
+            x1    = fst $ tbl ! index
+        in if x1 <= x then 
+             let y | index < right = find index right x
+                   | right == last = snd $ tbl ! right
+                   | otherwise     = 
+                     let x2 = fst $ tbl ! (index + 1)
+                         y1 = snd $ tbl ! index
+                         y2 = snd $ tbl ! (index + 1)
+                     in y1 + (y2 - y1) * (x - x1) / (x2 - x1) 
+             in y
+           else
+             let y | left < index  = find left (index - 1) x
+                   | left == first = snd $ tbl ! left
+                   | otherwise     = error "Incorrect index: tableLookup"
+             in y
+
+-- | Lookup @x@ in a table of pairs @(x, y)@ using stepwise function.
+tableLookupStepwise :: Double -> Array Int (Double, Double) -> Double
+tableLookupStepwise x tbl = find first last x
+  where
+    (first, last) = bounds tbl
+    find left right x =
+      if left > right then
+        error "Incorrect index: tableLookupStepwise"
+      else
+        let index = (left + 1 + right) `div` 2
+            x1    = fst $ tbl ! index
+        in if x1 <= x then 
+             let y | index < right = find index right x
+                   | right == last = snd $ tbl ! right
+                   | otherwise     = snd $ tbl ! right
+             in y
+           else
+             let y | left < index  = find left (index - 1) x
+                   | left == first = snd $ tbl ! left
+                   | otherwise     = error "Incorrect index: tableLookupStepwise"
+             in y
diff --git a/Simulation/Aivika/Task.hs b/Simulation/Aivika/Task.hs
--- a/Simulation/Aivika/Task.hs
+++ b/Simulation/Aivika/Task.hs
@@ -1,168 +1,168 @@
-
--- |
--- Module     : Simulation.Aivika.Task
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The 'Task' value represents a process that was already started in background.
--- We can check the completion of the task, receive notifications about changing
--- its state and even suspend an outer process awaiting the final result of the task.
--- It complements the 'Process' monad as it allows immediately continuing the main
--- computation without suspension.
---
-module Simulation.Aivika.Task
-       (-- * Task
-        Task,
-        TaskResult(..),
-        taskId,
-        tryGetTaskResult,
-        taskResult,
-        taskResultReceived,
-        taskProcess,
-        cancelTask,
-        taskCancelled,
-        -- * Running Task
-        runTask,
-        runTaskUsingId,
-        -- * Spawning Tasks
-        spawnTask,
-        spawnTaskUsingId,
-        -- * Enqueueing Task
-        enqueueTask,
-        enqueueTaskUsingId) where
-
-import Data.IORef
-import Data.Monoid
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Exception
-
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Dynamics
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Cont
-import Simulation.Aivika.Internal.Process
-import Simulation.Aivika.Internal.Signal
-
--- | The task represents a process that was already started in background.
-data Task a =
-  Task { taskId :: ProcessId,
-         -- ^ Return an identifier for the process that was launched
-         -- in background for this task.
-         taskResultRef :: IORef (Maybe (TaskResult a)),
-         -- ^ It contains the result of the computation.
-         taskResultReceived :: Signal (TaskResult a)
-         -- ^ Return a signal that notifies about receiving
-         -- the result of the task.
-       }
-
--- | Represents the result of the task.
-data TaskResult a = TaskCompleted a
-                    -- ^ the task was successfully completed and
-                    -- it returned the specified result
-                  | TaskError IOException
-                    -- ^ the specified exception was raised when performing the task.
-                  | TaskCancelled
-                    -- ^ the task was cancelled
-
--- | Try to get the task result immediately without suspension.
-tryGetTaskResult :: Task a -> Event (Maybe (TaskResult a))
-tryGetTaskResult t =
-  Event $ \p -> readIORef (taskResultRef t)
-
--- | Return the task result suspending the outer process if required.
-taskResult :: Task a -> Process (TaskResult a)
-taskResult t =
-  do x <- liftIO $ readIORef (taskResultRef t)
-     case x of
-       Just x -> return x
-       Nothing -> processAwait (taskResultReceived t)
-
--- | Cancel the task.
-cancelTask :: Task a -> Event ()
-cancelTask t =
-  cancelProcessWithId (taskId t)
-
--- | Test whether the task was cancelled.
-taskCancelled :: Task a -> Event Bool
-taskCancelled t =
-  processCancelled (taskId t)
-
--- | Create a task by the specified process and its identifier.
-newTaskUsingId :: ProcessId -> Process a -> Event (Task a, Process ())
-newTaskUsingId pid p =
-  do r <- liftIO $ newIORef Nothing
-     s <- liftSimulation newSignalSource
-     let t = Task { taskId = pid,
-                    taskResultRef = r,
-                    taskResultReceived = publishSignal s }
-     let m =
-           do v <- liftIO $ newIORef TaskCancelled
-              finallyProcess
-                (catchProcess
-                 (do a <- p
-                     liftIO $ writeIORef v (TaskCompleted a))
-                 (\e ->
-                   liftIO $ writeIORef v (TaskError e)))
-                (liftEvent $
-                 do x <- liftIO $ readIORef v
-                    liftIO $ writeIORef r (Just x)
-                    triggerSignal s x)
-     return (t, m)
-
--- | Run the process with the specified identifier in background and
--- return the corresponded task immediately.
-runTaskUsingId :: ProcessId -> Process a -> Event (Task a)
-runTaskUsingId pid p =
-  do (t, m) <- newTaskUsingId pid p
-     runProcessUsingId pid m
-     return t
-
--- | Run the process in background and return the corresponded task immediately.
-runTask :: Process a -> Event (Task a)
-runTask p =
-  do pid <- liftSimulation newProcessId
-     runTaskUsingId pid p
-
--- | Enqueue the process that will be started at the specified time with the given
--- identifier from the event queue. It returns the corresponded task immediately.
-enqueueTaskUsingId :: Double -> ProcessId -> Process a -> Event (Task a)
-enqueueTaskUsingId time pid p =
-  do (t, m) <- newTaskUsingId pid p
-     enqueueProcessUsingId time pid m
-     return t
-
--- | Enqueue the process that will be started at the specified time from the event queue.
--- It returns the corresponded task immediately.
-enqueueTask :: Double -> Process a -> Event (Task a)
-enqueueTask time p =
-  do pid <- liftSimulation newProcessId
-     enqueueTaskUsingId time pid p
-
--- | Run using the specified identifier a child process in background and return
--- immediately the corresponded task.
-spawnTaskUsingId :: ContCancellation -> ProcessId -> Process a -> Process (Task a)
-spawnTaskUsingId cancellation pid p =
-  do (t, m) <- liftEvent $ newTaskUsingId pid p
-     spawnProcessUsingId cancellation pid m
-     return t
-
--- | Run a child process in background and return immediately the corresponded task.
-spawnTask :: ContCancellation -> Process a -> Process (Task a)
-spawnTask cancellation p =
-  do pid <- liftSimulation newProcessId
-     spawnTaskUsingId cancellation pid p
-
--- | Return an outer process that behaves like the task itself except for one thing:
--- if the outer process is cancelled then it is not enough to cancel the task. 
-taskProcess :: Task a -> Process a
-taskProcess t =
-  do x <- taskResult t
-     case x of
-       TaskCompleted a -> return a
-       TaskError e -> throwProcess e
-       TaskCancelled -> cancelProcess
+
+-- |
+-- Module     : Simulation.Aivika.Task
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The 'Task' value represents a process that was already started in background.
+-- We can check the completion of the task, receive notifications about changing
+-- its state and even suspend an outer process awaiting the final result of the task.
+-- It complements the 'Process' monad as it allows immediately continuing the main
+-- computation without suspension.
+--
+module Simulation.Aivika.Task
+       (-- * Task
+        Task,
+        TaskResult(..),
+        taskId,
+        tryGetTaskResult,
+        taskResult,
+        taskResultReceived,
+        taskProcess,
+        cancelTask,
+        taskCancelled,
+        -- * Running Task
+        runTask,
+        runTaskUsingId,
+        -- * Spawning Tasks
+        spawnTask,
+        spawnTaskUsingId,
+        -- * Enqueueing Task
+        enqueueTask,
+        enqueueTaskUsingId) where
+
+import Data.IORef
+import Data.Monoid
+
+import Control.Monad
+import Control.Monad.Trans
+import Control.Exception
+
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Cont
+import Simulation.Aivika.Internal.Process
+import Simulation.Aivika.Internal.Signal
+
+-- | The task represents a process that was already started in background.
+data Task a =
+  Task { taskId :: ProcessId,
+         -- ^ Return an identifier for the process that was launched
+         -- in background for this task.
+         taskResultRef :: IORef (Maybe (TaskResult a)),
+         -- ^ It contains the result of the computation.
+         taskResultReceived :: Signal (TaskResult a)
+         -- ^ Return a signal that notifies about receiving
+         -- the result of the task.
+       }
+
+-- | Represents the result of the task.
+data TaskResult a = TaskCompleted a
+                    -- ^ the task was successfully completed and
+                    -- it returned the specified result
+                  | TaskError IOException
+                    -- ^ the specified exception was raised when performing the task.
+                  | TaskCancelled
+                    -- ^ the task was cancelled
+
+-- | Try to get the task result immediately without suspension.
+tryGetTaskResult :: Task a -> Event (Maybe (TaskResult a))
+tryGetTaskResult t =
+  Event $ \p -> readIORef (taskResultRef t)
+
+-- | Return the task result suspending the outer process if required.
+taskResult :: Task a -> Process (TaskResult a)
+taskResult t =
+  do x <- liftIO $ readIORef (taskResultRef t)
+     case x of
+       Just x -> return x
+       Nothing -> processAwait (taskResultReceived t)
+
+-- | Cancel the task.
+cancelTask :: Task a -> Event ()
+cancelTask t =
+  cancelProcessWithId (taskId t)
+
+-- | Test whether the task was cancelled.
+taskCancelled :: Task a -> Event Bool
+taskCancelled t =
+  processCancelled (taskId t)
+
+-- | Create a task by the specified process and its identifier.
+newTaskUsingId :: ProcessId -> Process a -> Event (Task a, Process ())
+newTaskUsingId pid p =
+  do r <- liftIO $ newIORef Nothing
+     s <- liftSimulation newSignalSource
+     let t = Task { taskId = pid,
+                    taskResultRef = r,
+                    taskResultReceived = publishSignal s }
+     let m =
+           do v <- liftIO $ newIORef TaskCancelled
+              finallyProcess
+                (catchProcess
+                 (do a <- p
+                     liftIO $ writeIORef v (TaskCompleted a))
+                 (\e ->
+                   liftIO $ writeIORef v (TaskError e)))
+                (liftEvent $
+                 do x <- liftIO $ readIORef v
+                    liftIO $ writeIORef r (Just x)
+                    triggerSignal s x)
+     return (t, m)
+
+-- | Run the process with the specified identifier in background and
+-- return the corresponded task immediately.
+runTaskUsingId :: ProcessId -> Process a -> Event (Task a)
+runTaskUsingId pid p =
+  do (t, m) <- newTaskUsingId pid p
+     runProcessUsingId pid m
+     return t
+
+-- | Run the process in background and return the corresponded task immediately.
+runTask :: Process a -> Event (Task a)
+runTask p =
+  do pid <- liftSimulation newProcessId
+     runTaskUsingId pid p
+
+-- | Enqueue the process that will be started at the specified time with the given
+-- identifier from the event queue. It returns the corresponded task immediately.
+enqueueTaskUsingId :: Double -> ProcessId -> Process a -> Event (Task a)
+enqueueTaskUsingId time pid p =
+  do (t, m) <- newTaskUsingId pid p
+     enqueueProcessUsingId time pid m
+     return t
+
+-- | Enqueue the process that will be started at the specified time from the event queue.
+-- It returns the corresponded task immediately.
+enqueueTask :: Double -> Process a -> Event (Task a)
+enqueueTask time p =
+  do pid <- liftSimulation newProcessId
+     enqueueTaskUsingId time pid p
+
+-- | Run using the specified identifier a child process in background and return
+-- immediately the corresponded task.
+spawnTaskUsingId :: ContCancellation -> ProcessId -> Process a -> Process (Task a)
+spawnTaskUsingId cancellation pid p =
+  do (t, m) <- liftEvent $ newTaskUsingId pid p
+     spawnProcessUsingId cancellation pid m
+     return t
+
+-- | Run a child process in background and return immediately the corresponded task.
+spawnTask :: ContCancellation -> Process a -> Process (Task a)
+spawnTask cancellation p =
+  do pid <- liftSimulation newProcessId
+     spawnTaskUsingId cancellation pid p
+
+-- | Return an outer process that behaves like the task itself except for one thing:
+-- if the outer process is cancelled then it is not enough to cancel the task. 
+taskProcess :: Task a -> Process a
+taskProcess t =
+  do x <- taskResult t
+     case x of
+       TaskCompleted a -> return a
+       TaskError e -> throwProcess e
+       TaskCancelled -> cancelProcess
diff --git a/Simulation/Aivika/Transform.hs b/Simulation/Aivika/Transform.hs
--- a/Simulation/Aivika/Transform.hs
+++ b/Simulation/Aivika/Transform.hs
@@ -1,30 +1,126 @@
-
--- |
--- Module     : Simulation.Aivika.Transform
--- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The module defines a transform of one time varying function to another
--- usually specified in the integration time points and then interpolated in
--- other time points with help of one of the memoization functions
--- like 'memo0Dynamics'.
---
-module Simulation.Aivika.Transform
-       (Transform(..)) where
-
-import Simulation.Aivika.Simulation
-import Simulation.Aivika.Dynamics
-import Simulation.Aivika.Dynamics.Memo
-
--- | The transform of one time varying function to another usually
--- specified in the integration time points and then interpolated in
--- other time points with help of one of the memoization functions
--- like 'memo0Dynamics'.
---
-newtype Transform a b =
-  Transform { runTransform :: Dynamics a -> Simulation (Dynamics b)
-              -- ^ Run the transform.
-            }
+
+{-# LANGUAGE RecursiveDo #-}
+
+-- |
+-- Module     : Simulation.Aivika.Transform
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The module defines something which is most close to the notion of
+-- analogous circuit as an opposite to the digital one.
+--
+module Simulation.Aivika.Transform
+       (-- * The Transform Arrow
+        Transform(..),
+        -- * Delaying the Transform
+        delayTransform,
+        -- * The Time Transform
+        timeTransform,
+        -- * Differential and Difference Equations
+        integTransform,
+        sumTransform) where
+
+import qualified Control.Category as C
+import Control.Arrow
+import Control.Monad
+
+import Simulation.Aivika.Simulation
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Memo
+import Simulation.Aivika.Unboxed
+import Simulation.Aivika.SystemDynamics
+
+-- | It allows representing an analogous circuit as an opposite to
+-- the digital one.
+--
+-- This is a transform of one time varying function to another usually
+-- specified in the integration time points and then interpolated in
+-- other time points with help of one of the memoization functions
+-- like 'memo0Dynamics'.
+--
+newtype Transform a b =
+  Transform { runTransform :: Dynamics a -> Simulation (Dynamics b)
+              -- ^ Run the transform.
+            }
+
+instance C.Category Transform where
+
+  id = Transform return
+  
+  (Transform g) . (Transform f) =
+    Transform $ \a -> f a >>= g
+
+instance Arrow Transform where
+
+  arr f = Transform $ return . fmap f
+
+  first (Transform f) =
+    Transform $ \bd ->
+    do (b, d) <- unzip0Dynamics bd
+       c <- f b
+       return $ liftM2 (,) c d 
+
+  second (Transform f) =
+    Transform $ \db ->
+    do (d, b) <- unzip0Dynamics db
+       c <- f b
+       return $ liftM2 (,) d c
+
+  (Transform f) *** (Transform g) =
+    Transform $ \bb' ->
+    do (b, b') <- unzip0Dynamics bb'
+       c  <- f b
+       c' <- g b'
+       return $ liftM2 (,) c c'
+
+  (Transform f) &&& (Transform g) =
+    Transform $ \b ->
+    do c  <- f b
+       c' <- g b
+       return $ liftM2 (,) c c'
+
+instance ArrowLoop Transform where
+
+  loop (Transform f) =
+    Transform $ \b ->
+    mdo let bd = liftM2 (,) b d
+        cd <- f bd
+        (c, d) <- unzip0Dynamics cd
+        return c
+
+-- | A transform that returns the current modeling time.
+timeTransform :: Transform a Double
+timeTransform = Transform $ const $ return time
+
+-- | Return a delayed transform by the specified lag time and initial value.
+--
+-- This is actually the 'delayI' function wrapped in the 'Transform' type. 
+delayTransform :: Dynamics Double     -- ^ the lag time
+                  -> Dynamics a       -- ^ the initial value
+                  -> Transform a a    -- ^ the delayed transform
+delayTransform lagTime init =
+  Transform $ \a -> delayI a lagTime init
+  
+-- | Return a transform that maps the derivative to an integral
+-- by the specified initial value.
+--
+-- This is actually the 'integ' function wrapped in the 'Transform' type. 
+integTransform :: Dynamics Double
+                  -- ^ the initial value
+                  -> Transform Double Double
+                  -- ^ map the derivative to an integral
+integTransform = Transform . integ
+
+-- | Return a transform that maps the difference to a sum
+-- by the specified initial value.
+--
+-- This is actually the 'diffsum' function wrapped in the 'Transform' type. 
+sumTransform :: (Num a, Unboxed a) =>
+                Dynamics a
+                -- ^ the initial value
+                -> Transform a a
+                -- ^ map the difference to a sum
+sumTransform = Transform . diffsum
diff --git a/Simulation/Aivika/Transform/Extra.hs b/Simulation/Aivika/Transform/Extra.hs
new file mode 100644
--- /dev/null
+++ b/Simulation/Aivika/Transform/Extra.hs
@@ -0,0 +1,54 @@
+
+-- |
+-- Module     : Simulation.Aivika.Transform.Extra
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines auxiliary computations such as interpolation ones
+-- that complement the memoization, for example. There are scan computations too.
+--
+
+module Simulation.Aivika.Transform.Extra
+       (-- * Interpolation
+        initTransform,
+        discreteTransform,
+        interpolatingTransform,
+        -- * Scans
+        scanTransform,
+        scan1Transform) where
+
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Transform
+import Simulation.Aivika.Transform.Memo
+
+-- | A transform that returns the initial value.
+initTransform :: Transform a a
+initTransform = Transform $ return . initDynamics
+
+-- | A transform that discretizes the computation in the integration time points.
+discreteTransform :: Transform a a
+discreteTransform = Transform $ return . discreteDynamics
+
+-- | A tranform that interpolates the computation based on the integration time points only.
+-- Unlike the 'discreteTransform' computation it knows about the intermediate 
+-- time points that are used in the Runge-Kutta method.
+interpolatingTransform :: Transform a a
+interpolatingTransform = Transform $ return . interpolateDynamics 
+
+-- | Like the standard 'scanl1' function but applied to values in 
+-- the integration time points. The accumulator values are transformed
+-- according to the second argument, which should be either  
+-- 'memo0Transform' or its unboxed version.
+scan1Transform :: (a -> a -> a) -> Transform a a -> Transform a a
+scan1Transform f (Transform tr) = Transform $ scan1Dynamics f tr
+
+-- | Like the standard 'scanl' function but applied to values in 
+-- the integration time points. The accumulator values are transformed
+-- according to the third argument, which should be either
+-- 'memo0Transform' or its unboxed version.
+scanTransform :: (a -> b -> a) -> a -> Transform a a -> Transform b a
+scanTransform f acc (Transform tr) = Transform $ scanDynamics f acc tr
diff --git a/Simulation/Aivika/Transform/Memo.hs b/Simulation/Aivika/Transform/Memo.hs
new file mode 100644
--- /dev/null
+++ b/Simulation/Aivika/Transform/Memo.hs
@@ -0,0 +1,45 @@
+
+-- |
+-- Module     : Simulation.Aivika.Transform.Memo
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines memoization transforms. The memoization creates such 'Dynamics'
+-- computations, which values are cached in the integration time points. Then
+-- these values are interpolated in all other time points.
+--
+
+module Simulation.Aivika.Transform.Memo
+       (memoTransform,
+        memo0Transform,
+        iteratingTransform) where
+
+import Simulation.Aivika.Parameter
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Dynamics.Memo
+import Simulation.Aivika.Transform
+
+-- | A transform that memoizes and order the computation in the integration time points
+-- using the interpolation that knows of the Runge-Kutta method. The values are
+-- calculated sequentially starting from 'starttime'.
+memoTransform :: Transform e e
+memoTransform = Transform memoDynamics 
+
+-- | A transform that memoizes and order the computation in the integration time points using 
+-- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoTransform'
+-- computation but it is not aware of the Runge-Kutta method. There is a subtle
+-- difference when we request for values in the intermediate time points
+-- that are used by this method to integrate. In general case you should 
+-- prefer the 'memo0Transform' computation above 'memoTransform'.
+memo0Transform :: Transform e e
+memo0Transform =  Transform memo0Dynamics
+
+-- | A transform that iterates sequentially the dynamic process with side effects in 
+-- the integration time points. It is equivalent to the 'memo0Transform' computation
+-- but significantly more efficient, for the internal array is not created.
+iteratingTransform :: Transform () ()
+iteratingTransform = Transform iterateDynamics
diff --git a/Simulation/Aivika/Transform/Memo/Unboxed.hs b/Simulation/Aivika/Transform/Memo/Unboxed.hs
new file mode 100644
--- /dev/null
+++ b/Simulation/Aivika/Transform/Memo/Unboxed.hs
@@ -0,0 +1,41 @@
+
+{-# LANGUAGE FlexibleContexts #-}
+
+-- |
+-- Module     : Simulation.Aivika.Transform.Memo.Unboxed
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines the unboxed memoization transforms. The memoization creates such 'Dynamics'
+-- computations, which values are cached in the integration time points. Then
+-- these values are interpolated in all other time points.
+--
+
+module Simulation.Aivika.Transform.Memo.Unboxed
+       (memoTransform,
+        memo0Transform) where
+
+import Simulation.Aivika.Parameter
+import Simulation.Aivika.Dynamics
+import Simulation.Aivika.Dynamics.Extra
+import Simulation.Aivika.Dynamics.Memo.Unboxed
+import Simulation.Aivika.Transform
+import Simulation.Aivika.Unboxed
+
+-- | A transform that memoizes and order the computation in the integration time points
+-- using the interpolation that knows of the Runge-Kutta method. The values are
+-- calculated sequentially starting from 'starttime'.
+memoTransform :: Unboxed e => Transform e e
+memoTransform = Transform memoDynamics 
+
+-- | A transform that memoizes and order the computation in the integration time points using 
+-- the 'discreteDynamics' interpolation. It consumes less memory than the 'memoTransform'
+-- computation but it is not aware of the Runge-Kutta method. There is a subtle
+-- difference when we request for values in the intermediate time points
+-- that are used by this method to integrate. In general case you should 
+-- prefer the 'memo0Transform' computation above 'memoTransform'.
+memo0Transform :: Unboxed e => Transform e e
+memo0Transform =  Transform memo0Dynamics
diff --git a/Simulation/Aivika/Unboxed.hs b/Simulation/Aivika/Unboxed.hs
--- a/Simulation/Aivika/Unboxed.hs
+++ b/Simulation/Aivika/Unboxed.hs
@@ -1,48 +1,48 @@
-
-{-# LANGUAGE CPP, FlexibleContexts #-}
-
--- |
--- Module     : Simulation.Aivika.Unboxed
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- The 'Unboxed' class allows creating unboxed arrays in monad 'IO'.
---
-
-module Simulation.Aivika.Unboxed
-       (Unboxed(..)) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.Int	 
-import Data.Word	 
-
--- | The type which values can be contained in an unboxed array.
-class MArray IOUArray e IO => Unboxed e where
-
-  -- | Create an unboxed array with default values.
-  newUnboxedArray_ :: Ix i => (i, i) -> IO (IOUArray i e)
-  newUnboxedArray_ = newArray_
-
-instance Unboxed Bool	 
-instance Unboxed Char	 
-instance Unboxed Double	 
-instance Unboxed Float	 
-instance Unboxed Int	 
-instance Unboxed Int8	 
-instance Unboxed Int16	 
-instance Unboxed Int32	 
-instance Unboxed Word	 
-instance Unboxed Word8	 
-instance Unboxed Word16	 
-instance Unboxed Word32	 
-
-#ifndef __HASTE__
-
-instance Unboxed Int64
-instance Unboxed Word64
-
-#endif
+
+{-# LANGUAGE CPP, FlexibleContexts #-}
+
+-- |
+-- Module     : Simulation.Aivika.Unboxed
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- The 'Unboxed' class allows creating unboxed arrays in monad 'IO'.
+--
+
+module Simulation.Aivika.Unboxed
+       (Unboxed(..)) where
+
+import Data.Array
+import Data.Array.IO.Safe
+import Data.Int	 
+import Data.Word	 
+
+-- | The type which values can be contained in an unboxed array.
+class MArray IOUArray e IO => Unboxed e where
+
+  -- | Create an unboxed array with default values.
+  newUnboxedArray_ :: Ix i => (i, i) -> IO (IOUArray i e)
+  newUnboxedArray_ = newArray_
+
+instance Unboxed Bool	 
+instance Unboxed Char	 
+instance Unboxed Double	 
+instance Unboxed Float	 
+instance Unboxed Int	 
+instance Unboxed Int8	 
+instance Unboxed Int16	 
+instance Unboxed Int32	 
+instance Unboxed Word	 
+instance Unboxed Word8	 
+instance Unboxed Word16	 
+instance Unboxed Word32	 
+
+#ifndef __HASTE__
+
+instance Unboxed Int64
+instance Unboxed Word64
+
+#endif
diff --git a/Simulation/Aivika/Var.hs b/Simulation/Aivika/Var.hs
--- a/Simulation/Aivika/Var.hs
+++ b/Simulation/Aivika/Var.hs
@@ -1,150 +1,188 @@
-
--- |
--- Module     : Simulation.Aivika.Var
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- This module defines a variable that is bound up with the event queue and 
--- that keeps the history of changes storing the values in an array, which
--- allows using the variable in differential and difference equations under
--- some conditions.
---
-module Simulation.Aivika.Var
-       (Var,
-        varChanged,
-        varChanged_,
-        newVar,
-        readVar,
-        writeVar,
-        modifyVar,
-        freezeVar) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.IORef
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Signal
-
-import qualified Simulation.Aivika.Vector as V
-import qualified Simulation.Aivika.Vector.Unboxed as UV
-
--- | Like the 'Ref' reference but keeps the history of changes in 
--- different time points. The 'Var' variable is usually safe in the hybrid 
--- simulation, for example, when it can be used in the differential or
--- difference equations unless you update the variable twice in the
--- same integration time point. Only this variable is much slower than
--- the reference.
-data Var a = 
-  Var { varXS    :: UV.Vector Double, 
-        varYS    :: V.Vector a,
-        varChangedSource :: SignalSource a }
-     
--- | Create a new variable.
-newVar :: a -> Simulation (Var a)
-newVar a =
-  Simulation $ \r ->
-  do xs <- UV.newVector
-     ys <- V.newVector
-     UV.appendVector xs $ spcStartTime $ runSpecs r
-     V.appendVector ys a
-     s  <- invokeSimulation r newSignalSource
-     return Var { varXS = xs,
-                  varYS = ys, 
-                  varChangedSource = s }
-
--- | Read the value of a variable.
---
--- It is safe to run the resulting computation with help of the 'runEventWith'
--- function using modes 'CurrentEventsOrFromPast' and 'EarlierEventsOrFromPast', 
--- which is necessary if you are going to use the variable in the differential 
--- or difference equations. Only it is preferrable if the variable is not updated twice
--- in the same integration time point; otherwise, different values can be returned
--- for the same point.
-readVar :: Var a -> Event a
-readVar v =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if x <= t 
-       then V.readVector ys i
-       else do i <- UV.vectorBinarySearch xs t
-               if i >= 0
-                 then V.readVector ys i
-                 else V.readVector ys $ - (i + 1) - 1
-
--- | Write a new value into the variable.
-writeVar :: Var a -> a -> Event ()
-writeVar v a =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-         s  = varChangedSource v
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if t < x 
-       then error "Cannot update the past data: writeVar."
-       else if t == x
-            then V.writeVector ys i $! a
-            else do UV.appendVector xs t
-                    V.appendVector ys $! a
-     invokeEvent p $ triggerSignal s a
-
--- | Mutate the contents of the variable.
-modifyVar :: Var a -> (a -> a) -> Event ()
-modifyVar v f =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-         s  = varChangedSource v
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if t < x
-       then error "Cannot update the past data: modifyVar."
-       else if t == x
-            then do a <- V.readVector ys i
-                    let b = f a
-                    V.writeVector ys i $! b
-                    invokeEvent p $ triggerSignal s b
-            else do a <- V.readVector ys i
-                    let b = f a
-                    UV.appendVector xs t
-                    V.appendVector ys $! b
-                    invokeEvent p $ triggerSignal s b
-
--- | Freeze the variable and return in arrays the time points and corresponded 
--- values when the variable had changed in different time points: (1) the last
--- actual value per each time point is provided and (2) the time points are
--- sorted in ascending order.
---
--- If you need to get all changes including those ones that correspond to the same
--- simulation time points then you can use the 'newSignalHistory' function passing
--- in the 'varChanged' signal to it and then call function 'readSignalHistory'.
-freezeVar :: Var a -> Event (Array Int Double, Array Int a)
-freezeVar v =
-  Event $ \p ->
-  do xs <- UV.freezeVector (varXS v)
-     ys <- V.freezeVector (varYS v)
-     return (xs, ys)
-     
--- | Return a signal that notifies about every change of the variable state.
-varChanged :: Var a -> Signal a
-varChanged v = publishSignal (varChangedSource v)
-
--- | Return a signal that notifies about every change of the variable state.
-varChanged_ :: Var a -> Signal ()
-varChanged_ v = mapSignal (const ()) $ varChanged v     
+
+-- |
+-- Module     : Simulation.Aivika.Var
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines a variable that is bound up with the event queue and 
+-- that keeps the history of changes storing the values in arrays, which
+-- allows using the variable in differential and difference equations of
+-- System Dynamics within hybrid discrete-continuous simulation.
+--
+module Simulation.Aivika.Var
+       (Var,
+        varChanged,
+        varChanged_,
+        newVar,
+        readVar,
+        varMemo,
+        writeVar,
+        modifyVar,
+        freezeVar) where
+
+import Data.Array
+import Data.Array.IO.Safe
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Signal
+
+import qualified Simulation.Aivika.Vector as V
+import qualified Simulation.Aivika.Vector.Unboxed as UV
+
+-- | Like the 'Ref' reference but keeps the history of changes in 
+-- different time points. The 'Var' variable is safe to be used in
+-- the hybrid discrete-continuous simulation.
+--
+-- For example, the memoised values of a variable can be used in
+-- the differential or difference equations of System Dynamics, while
+-- the variable iself can be updated wihin the discrete event simulation.
+--
+-- Only this variable is much slower than the reference.
+data Var a = 
+  Var { varXS    :: UV.Vector Double,
+        varMS    :: V.Vector a,
+        varYS    :: V.Vector a,
+        varChangedSource :: SignalSource a }
+     
+-- | Create a new variable.
+newVar :: a -> Simulation (Var a)
+newVar a =
+  Simulation $ \r ->
+  do xs <- UV.newVector
+     ms <- V.newVector
+     ys <- V.newVector
+     UV.appendVector xs $ spcStartTime $ runSpecs r
+     V.appendVector ms a
+     V.appendVector ys a
+     s  <- invokeSimulation r newSignalSource
+     return Var { varXS = xs,
+                  varMS = ms,
+                  varYS = ms,
+                  varChangedSource = s }
+
+-- | Read the first actual, i.e. memoised, value of a variable for the requested time
+-- actuating the current events from the queue if needed.
+--
+-- This computation can be used in the ordinary differential and
+-- difference equations of System Dynamics.
+varMemo :: Var a -> Dynamics a
+varMemo v =
+  runEventWith CurrentEventsOrFromPast $
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if x < t
+       then do a <- V.readVector ys i
+               UV.appendVector xs t
+               V.appendVector ms a
+               V.appendVector ys a
+               return a
+       else if x == t
+            then V.readVector ms i
+            else do i <- UV.vectorBinarySearch xs t
+                    if i >= 0
+                      then V.readVector ms i
+                      else V.readVector ms $ - (i + 1) - 1
+
+-- | Read the recent actual value of a variable for the requested time.
+--
+-- This computation is destined for using within discrete event simulation.
+readVar :: Var a -> Event a
+readVar v = 
+  Event $ \p ->
+  do let xs = varXS v
+         ys = varYS v
+         t  = pointTime p
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if x <= t 
+       then V.readVector ys i
+       else do i <- UV.vectorBinarySearch xs t
+               if i >= 0
+                 then V.readVector ys i
+                 else V.readVector ys $ - (i + 1) - 1
+
+-- | Write a new value into the variable.
+writeVar :: Var a -> a -> Event ()
+writeVar v a =
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+         s  = varChangedSource v
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if t < x 
+       then error "Cannot update the past data: writeVar."
+       else if t == x
+            then V.writeVector ys i $! a
+            else do UV.appendVector xs t
+                    V.appendVector ms $! a
+                    V.appendVector ys $! a
+     invokeEvent p $ triggerSignal s a
+
+-- | Mutate the contents of the variable.
+modifyVar :: Var a -> (a -> a) -> Event ()
+modifyVar v f =
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+         s  = varChangedSource v
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if t < x
+       then error "Cannot update the past data: modifyVar."
+       else if t == x
+            then do a <- V.readVector ys i
+                    let b = f a
+                    V.writeVector ys i $! b
+                    invokeEvent p $ triggerSignal s b
+            else do a <- V.readVector ys i
+                    let b = f a
+                    UV.appendVector xs t
+                    V.appendVector ms $! b
+                    V.appendVector ys $! b
+                    invokeEvent p $ triggerSignal s b
+
+-- | Freeze the variable and return in arrays the time points and corresponded 
+-- first and last values when the variable had changed or had been memoised in
+-- different time points: (1) the time points are sorted in ascending order;
+-- (2) the first and last actual values per each time point are provided.
+--
+-- If you need to get all changes including those ones that correspond to the same
+-- simulation time points then you can use the 'newSignalHistory' function passing
+-- in the 'varChanged' signal to it and then call function 'readSignalHistory'.
+freezeVar :: Var a -> Event (Array Int Double, Array Int a, Array Int a)
+freezeVar v =
+  Event $ \p ->
+  do xs <- UV.freezeVector (varXS v)
+     ms <- V.freezeVector (varMS v)
+     ys <- V.freezeVector (varYS v)
+     return (xs, ms, ys)
+     
+-- | Return a signal that notifies about every change of the variable state.
+varChanged :: Var a -> Signal a
+varChanged v = publishSignal (varChangedSource v)
+
+-- | Return a signal that notifies about every change of the variable state.
+varChanged_ :: Var a -> Signal ()
+varChanged_ v = mapSignal (const ()) $ varChanged v     
diff --git a/Simulation/Aivika/Var/Unboxed.hs b/Simulation/Aivika/Var/Unboxed.hs
--- a/Simulation/Aivika/Var/Unboxed.hs
+++ b/Simulation/Aivika/Var/Unboxed.hs
@@ -1,157 +1,188 @@
-
--- |
--- Module     : Simulation.Aivika.Var.Unboxed
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- This module defines an unboxed variable that is bound up with the event queue and 
--- that keeps the history of changes storing the values in an unboxed array, which
--- allows using the variable in differential and difference equations under
--- some conditions.
---
-module Simulation.Aivika.Var.Unboxed
-       (Var,
-        varChanged,
-        varChanged_,
-        newVar,
-        readVar,
-        writeVar,
-        modifyVar,
-        freezeVar) where
-
-import Data.Array
-import Data.Array.IO.Safe
-import Data.IORef
-
-import Simulation.Aivika.Internal.Specs
-import Simulation.Aivika.Internal.Simulation
-import Simulation.Aivika.Internal.Event
-import Simulation.Aivika.Internal.Signal
-import Simulation.Aivika.Signal
-import Simulation.Aivika.Unboxed
-
-import qualified Simulation.Aivika.Vector.Unboxed as UV
-
--- | Like the 'Ref' reference but keeps the history of changes in 
--- different time points. The 'Var' variable is usually safe in the hybrid 
--- simulation, for example, when it can be used in the differential or
--- difference equations unless you update the variable twice in the
--- same integration time point. Only this variable is much slower than
--- the reference.
-data Var a = 
-  Var { varXS    :: UV.Vector Double, 
-        varYS    :: UV.Vector a,
-        varChangedSource :: SignalSource a }
-     
--- | Create a new variable.
-newVar :: Unboxed a => a -> Simulation (Var a)
-newVar a =
-  Simulation $ \r ->
-  do xs <- UV.newVector
-     ys <- UV.newVector
-     UV.appendVector xs $ spcStartTime $ runSpecs r
-     UV.appendVector ys a
-     s  <- invokeSimulation r newSignalSource
-     return Var { varXS = xs,
-                  varYS = ys, 
-                  varChangedSource = s }
-
--- | Read the value of a variable.
---
--- It is safe to run the resulting computation with help of the 'runEventWith'
--- function using modes 'CurrentEventsOrFromPast' and 'EarlierEventsOrFromPast', 
--- which is necessary if you are going to use the variable in the differential 
--- or difference equations. Only it is preferrable if the variable is not updated twice
--- in the same integration time point; otherwise, different values can be returned
--- for the same point.
-readVar :: Unboxed a => Var a -> Event a
-readVar v =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if x <= t 
-       then UV.readVector ys i
-       else do i <- UV.vectorBinarySearch xs t
-               if i >= 0
-                 then UV.readVector ys i
-                 else UV.readVector ys $ - (i + 1) - 1
-
--- | Write a new value into the variable.
-writeVar :: Unboxed a => Var a -> a -> Event ()
-writeVar v a =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-         s  = varChangedSource v
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if t < x 
-       then error "Cannot update the past data: writeVar."
-       else if t == x
-            then UV.writeVector ys i $! a
-            else do UV.appendVector xs t
-                    UV.appendVector ys $! a
-     invokeEvent p $ triggerSignal s a
-
--- | Mutate the contents of the variable.
-modifyVar :: Unboxed a => Var a -> (a -> a) -> Event ()
-modifyVar v f =
-  Event $ \p ->
-  do let xs = varXS v
-         ys = varYS v
-         t  = pointTime p
-         s  = varChangedSource v
-     count <- UV.vectorCount xs
-     let i = count - 1
-     x <- UV.readVector xs i
-     if t < x
-       then error "Cannot update the past data: modifyVar."
-       else if t == x
-            then do a <- UV.readVector ys i
-                    let b = f a
-                    UV.writeVector ys i $! b
-                    invokeEvent p $ triggerSignal s b
-            else do i <- UV.vectorBinarySearch xs t
-                    if i >= 0
-                      then do a <- UV.readVector ys i
-                              let b = f a
-                              UV.appendVector xs t
-                              UV.appendVector ys $! b
-                              invokeEvent p $ triggerSignal s b
-                      else do a <- UV.readVector ys $ - (i + 1) - 1
-                              let b = f a
-                              UV.appendVector xs t
-                              UV.appendVector ys $! b
-                              invokeEvent p $ triggerSignal s b
-
--- | Freeze the variable and return in arrays the time points and corresponded 
--- values when the variable had changed in different time points: (1) the last
--- actual value per each time point is provided and (2) the time points are
--- sorted in ascending order.
---
--- If you need to get all changes including those ones that correspond to the same
--- simulation time points then you can use the 'newSignalHistory' function passing
--- in the 'varChanged' signal to it and then call function 'readSignalHistory'.
-freezeVar :: Unboxed a => Var a -> Event (Array Int Double, Array Int a)
-freezeVar v =
-  Event $ \p ->
-  do xs <- UV.freezeVector (varXS v)
-     ys <- UV.freezeVector (varYS v)
-     return (xs, ys)
-     
--- | Return a signal that notifies about every change of the variable state.
-varChanged :: Var a -> Signal a
-varChanged v = publishSignal (varChangedSource v)
-
--- | Return a signal that notifies about every change of the variable state.
-varChanged_ :: Var a -> Signal ()
-varChanged_ v = mapSignal (const ()) $ varChanged v     
+
+-- |
+-- Module     : Simulation.Aivika.Var.Unboxed
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- This module defines an unboxed variable that is bound up with the event queue and 
+-- that keeps the history of changes storing the values in unboxed arrays, which
+-- allows using the variable in differential and difference equations of
+-- System Dynamics within hybrid discrete-continuous simulation.
+--
+module Simulation.Aivika.Var.Unboxed
+       (Var,
+        varChanged,
+        varChanged_,
+        newVar,
+        readVar,
+        varMemo,
+        writeVar,
+        modifyVar,
+        freezeVar) where
+
+import Data.Array
+import Data.Array.IO.Safe
+
+import Simulation.Aivika.Internal.Specs
+import Simulation.Aivika.Internal.Simulation
+import Simulation.Aivika.Internal.Dynamics
+import Simulation.Aivika.Internal.Event
+import Simulation.Aivika.Internal.Signal
+import Simulation.Aivika.Ref
+import Simulation.Aivika.Signal
+import Simulation.Aivika.Unboxed
+
+import qualified Simulation.Aivika.Vector.Unboxed as UV
+
+-- | Like the 'Ref' reference but keeps the history of changes in 
+-- different time points. The 'Var' variable is safe to be used in
+-- the hybrid discrete-continuous simulation.
+--
+-- For example, the memoised values of a variable can be used in
+-- the differential or difference equations of System Dynamics, while
+-- the variable iself can be updated wihin the discrete event simulation.
+--
+-- Only this variable is much slower than the reference.
+data Var a = 
+  Var { varXS    :: UV.Vector Double,
+        varMS    :: UV.Vector a,
+        varYS    :: UV.Vector a,
+        varChangedSource :: SignalSource a }
+
+-- | Create a new variable.
+newVar :: Unboxed a => a -> Simulation (Var a)
+newVar a =
+  Simulation $ \r ->
+  do xs <- UV.newVector
+     ms <- UV.newVector
+     ys <- UV.newVector
+     UV.appendVector xs $ spcStartTime $ runSpecs r
+     UV.appendVector ms a
+     UV.appendVector ys a
+     s  <- invokeSimulation r newSignalSource
+     return Var { varXS = xs,
+                  varMS = ms,
+                  varYS = ms,
+                  varChangedSource = s }
+
+-- | Read the first actual, i.e. memoised, value of a variable for the requested time
+-- actuating the current events from the queue if needed.
+--
+-- This computation can be used in the ordinary differential and
+-- difference equations of System Dynamics.
+varMemo :: Unboxed a => Var a -> Dynamics a
+varMemo v =
+  runEventWith CurrentEventsOrFromPast $
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if x < t
+       then do a <- UV.readVector ys i
+               UV.appendVector xs t
+               UV.appendVector ms a
+               UV.appendVector ys a
+               return a
+       else if x == t
+            then UV.readVector ms i
+            else do i <- UV.vectorBinarySearch xs t
+                    if i >= 0
+                      then UV.readVector ms i
+                      else UV.readVector ms $ - (i + 1) - 1
+
+-- | Read the recent actual value of a variable for the requested time.
+--
+-- This computation is destined for using within discrete event simulation.
+readVar :: Unboxed a => Var a -> Event a
+readVar v = 
+  Event $ \p ->
+  do let xs = varXS v
+         ys = varYS v
+         t  = pointTime p
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if x <= t 
+       then UV.readVector ys i
+       else do i <- UV.vectorBinarySearch xs t
+               if i >= 0
+                 then UV.readVector ys i
+                 else UV.readVector ys $ - (i + 1) - 1
+
+-- | Write a new value into the variable.
+writeVar :: Unboxed a => Var a -> a -> Event ()
+writeVar v a =
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+         s  = varChangedSource v
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if t < x 
+       then error "Cannot update the past data: writeVar."
+       else if t == x
+            then UV.writeVector ys i $! a
+            else do UV.appendVector xs t
+                    UV.appendVector ms $! a
+                    UV.appendVector ys $! a
+     invokeEvent p $ triggerSignal s a
+
+-- | Mutate the contents of the variable.
+modifyVar :: Unboxed a => Var a -> (a -> a) -> Event ()
+modifyVar v f =
+  Event $ \p ->
+  do let xs = varXS v
+         ms = varMS v
+         ys = varYS v
+         t  = pointTime p
+         s  = varChangedSource v
+     count <- UV.vectorCount xs
+     let i = count - 1
+     x <- UV.readVector xs i
+     if t < x
+       then error "Cannot update the past data: modifyVar."
+       else if t == x
+            then do a <- UV.readVector ys i
+                    let b = f a
+                    UV.writeVector ys i $! b
+                    invokeEvent p $ triggerSignal s b
+            else do a <- UV.readVector ys i
+                    let b = f a
+                    UV.appendVector xs t
+                    UV.appendVector ms $! b
+                    UV.appendVector ys $! b
+                    invokeEvent p $ triggerSignal s b
+
+-- | Freeze the variable and return in arrays the time points and corresponded 
+-- first and last values when the variable had changed or had been memoised in
+-- different time points: (1) the time points are sorted in ascending order;
+-- (2) the first and last actual values per each time point are provided.
+--
+-- If you need to get all changes including those ones that correspond to the same
+-- simulation time points then you can use the 'newSignalHistory' function passing
+-- in the 'varChanged' signal to it and then call function 'readSignalHistory'.
+freezeVar :: Unboxed a => Var a -> Event (Array Int Double, Array Int a, Array Int a)
+freezeVar v =
+  Event $ \p ->
+  do xs <- UV.freezeVector (varXS v)
+     ms <- UV.freezeVector (varMS v)
+     ys <- UV.freezeVector (varYS v)
+     return (xs, ms, ys)
+     
+-- | Return a signal that notifies about every change of the variable state.
+varChanged :: Var a -> Signal a
+varChanged v = publishSignal (varChangedSource v)
+
+-- | Return a signal that notifies about every change of the variable state.
+varChanged_ :: Var a -> Signal ()
+varChanged_ v = mapSignal (const ()) $ varChanged v     
diff --git a/Simulation/Aivika/Vector.hs b/Simulation/Aivika/Vector.hs
--- a/Simulation/Aivika/Vector.hs
+++ b/Simulation/Aivika/Vector.hs
@@ -1,183 +1,183 @@
-
--- |
--- Module     : Simulation.Aivika.Vector
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.8.3
---
--- An imperative vector.
---
-module Simulation.Aivika.Vector
-       (Vector, 
-        newVector, 
-        copyVector,
-        vectorCount, 
-        appendVector, 
-        readVector, 
-        writeVector,
-        vectorBinarySearch,
-        vectorInsert,
-        vectorDeleteAt,
-        vectorIndex,
-        freezeVector) where 
-
-import Data.Array
-import Data.Array.MArray.Safe
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-
--- | Represents a resizable vector.
-data Vector a = Vector { vectorArrayRef :: IORef (IOArray Int a),
-                         vectorCountRef :: IORef Int, 
-                         vectorCapacityRef :: IORef Int }
-
--- | Create a new vector.
-newVector :: IO (Vector a)
-newVector = 
-  do array <- newArray_ (0, 4 - 1)
-     arrayRef <- newIORef array
-     countRef <- newIORef 0
-     capacityRef <- newIORef 4
-     return Vector { vectorArrayRef = arrayRef,
-                     vectorCountRef = countRef,
-                     vectorCapacityRef = capacityRef }
-
--- | Copy the vector.
-copyVector :: Vector a -> IO (Vector a)
-copyVector vector =
-  do array <- readIORef (vectorArrayRef vector)
-     count <- readIORef (vectorCountRef vector)
-     array' <- newArray_ (0, count - 1)
-     arrayRef' <- newIORef array'
-     countRef' <- newIORef count
-     capacityRef' <- newIORef count
-     forM_ [0 .. count - 1] $ \i ->
-       do x <- readArray array i
-          writeArray array' i x
-     return Vector { vectorArrayRef = arrayRef',
-                     vectorCountRef = countRef',
-                     vectorCapacityRef = capacityRef' }
-
--- | Ensure that the vector has the specified capacity.
-vectorEnsureCapacity :: Vector a -> Int -> IO ()
-vectorEnsureCapacity vector capacity =
-  do capacity' <- readIORef (vectorCapacityRef vector)
-     when (capacity' < capacity) $
-       do array' <- readIORef (vectorArrayRef vector)
-          count' <- readIORef (vectorCountRef vector)
-          let capacity'' = max (2 * capacity') capacity
-          array'' <- newArray_ (0, capacity'' - 1)
-          forM_ [0 .. count' - 1] $ \i ->
-            do x <- readArray array' i
-               writeArray array'' i x
-          writeIORef (vectorArrayRef vector) array''
-          writeIORef (vectorCapacityRef vector) capacity''
-          
--- | Return the element count.
-vectorCount :: Vector a -> IO Int
-vectorCount vector = readIORef (vectorCountRef vector)
-          
--- | Add the specified element to the end of the vector.
-appendVector :: Vector a -> a -> IO ()          
-appendVector vector item =
-  do count <- readIORef (vectorCountRef vector)
-     vectorEnsureCapacity vector (count + 1)
-     array <- readIORef (vectorArrayRef vector)
-     writeArray array count item
-     writeIORef (vectorCountRef vector) (count + 1)
-     
--- | Read a value from the vector, where indices are started from 0.
-readVector :: Vector a -> Int -> IO a
-readVector vector index =
-  do array <- readIORef (vectorArrayRef vector)
-     readArray array index
-          
--- | Set an array item at the specified index which is started from 0.
-writeVector :: Vector a -> Int -> a -> IO ()
-writeVector vector index item =
-  do array <- readIORef (vectorArrayRef vector)
-     writeArray array index item
-
-vectorBinarySearch' :: Ord a => IOArray Int a -> a -> Int -> Int -> IO Int
-vectorBinarySearch' array item left right =
-  if left > right 
-  then return $ - (right + 1) - 1
-  else
-    do let index = (left + right) `div` 2
-       curr <- readArray array index
-       if item < curr 
-         then vectorBinarySearch' array item left (index - 1)
-         else if item == curr
-              then return index
-              else vectorBinarySearch' array item (index + 1) right
-                   
--- | Return the index of the specified element using binary search; otherwise, 
--- a negated insertion index minus one: 0 -> -0 - 1, ..., i -> -i - 1, ....
-vectorBinarySearch :: Ord a => Vector a -> a -> IO Int
-vectorBinarySearch vector item =
-  do array <- readIORef (vectorArrayRef vector)
-     count <- readIORef (vectorCountRef vector)
-     vectorBinarySearch' array item 0 (count - 1)
-
--- | Return the elements of the vector in an immutable array.
-freezeVector :: Vector a -> IO (Array Int a)
-freezeVector vector = 
-  do vector' <- copyVector vector
-     array   <- readIORef (vectorArrayRef vector')
-     freeze array
-     
--- | Insert the element in the vector at the specified index.
-vectorInsert :: Vector a -> Int -> a -> IO ()          
-vectorInsert vector index item =
-  do count <- readIORef (vectorCountRef vector)
-     when (index < 0) $
-       error $
-       "Index cannot be " ++
-       "negative: vectorInsert."
-     when (index > count) $
-       error $
-       "Index cannot be greater " ++
-       "than the count: vectorInsert."
-     vectorEnsureCapacity vector (count + 1)
-     array <- readIORef (vectorArrayRef vector)
-     forM_ [count, count - 1 .. index + 1] $ \i ->
-       do x <- readArray array (i - 1)
-          writeArray array i x
-     writeArray array index item
-     writeIORef (vectorCountRef vector) (count + 1)
-     
--- | Delete the element at the specified index.
-vectorDeleteAt :: Vector a -> Int -> IO ()
-vectorDeleteAt vector index =
-  do count <- readIORef (vectorCountRef vector)
-     when (index < 0) $
-       error $
-       "Index cannot be " ++
-       "negative: vectorDeleteAt."
-     when (index >= count) $
-       error $
-       "Index must be less " ++
-       "than the count: vectorDeleteAt."
-     array <- readIORef (vectorArrayRef vector)
-     forM_ [index, index + 1 .. count - 2] $ \i ->
-       do x <- readArray array (i + 1)
-          writeArray array i x
-     writeArray array (count - 1) undefined
-     writeIORef (vectorCountRef vector) (count - 1)
-     
--- | Return the index of the item or -1.     
-vectorIndex :: Eq a => Vector a -> a -> IO Int
-vectorIndex vector item =
-  do count <- readIORef (vectorCountRef vector)
-     array <- readIORef (vectorArrayRef vector)
-     let loop index =
-           if index >= count
-           then return $ -1
-           else do x <- readArray array index
-                   if item == x
-                     then return index
-                     else loop $ index + 1
-     loop 0
+
+-- |
+-- Module     : Simulation.Aivika.Vector
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- An imperative vector.
+--
+module Simulation.Aivika.Vector
+       (Vector, 
+        newVector, 
+        copyVector,
+        vectorCount, 
+        appendVector, 
+        readVector, 
+        writeVector,
+        vectorBinarySearch,
+        vectorInsert,
+        vectorDeleteAt,
+        vectorIndex,
+        freezeVector) where 
+
+import Data.Array
+import Data.Array.MArray.Safe
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+
+-- | Represents a resizable vector.
+data Vector a = Vector { vectorArrayRef :: IORef (IOArray Int a),
+                         vectorCountRef :: IORef Int, 
+                         vectorCapacityRef :: IORef Int }
+
+-- | Create a new vector.
+newVector :: IO (Vector a)
+newVector = 
+  do array <- newArray_ (0, 4 - 1)
+     arrayRef <- newIORef array
+     countRef <- newIORef 0
+     capacityRef <- newIORef 4
+     return Vector { vectorArrayRef = arrayRef,
+                     vectorCountRef = countRef,
+                     vectorCapacityRef = capacityRef }
+
+-- | Copy the vector.
+copyVector :: Vector a -> IO (Vector a)
+copyVector vector =
+  do array <- readIORef (vectorArrayRef vector)
+     count <- readIORef (vectorCountRef vector)
+     array' <- newArray_ (0, count - 1)
+     arrayRef' <- newIORef array'
+     countRef' <- newIORef count
+     capacityRef' <- newIORef count
+     forM_ [0 .. count - 1] $ \i ->
+       do x <- readArray array i
+          writeArray array' i x
+     return Vector { vectorArrayRef = arrayRef',
+                     vectorCountRef = countRef',
+                     vectorCapacityRef = capacityRef' }
+
+-- | Ensure that the vector has the specified capacity.
+vectorEnsureCapacity :: Vector a -> Int -> IO ()
+vectorEnsureCapacity vector capacity =
+  do capacity' <- readIORef (vectorCapacityRef vector)
+     when (capacity' < capacity) $
+       do array' <- readIORef (vectorArrayRef vector)
+          count' <- readIORef (vectorCountRef vector)
+          let capacity'' = max (2 * capacity') capacity
+          array'' <- newArray_ (0, capacity'' - 1)
+          forM_ [0 .. count' - 1] $ \i ->
+            do x <- readArray array' i
+               writeArray array'' i x
+          writeIORef (vectorArrayRef vector) array''
+          writeIORef (vectorCapacityRef vector) capacity''
+          
+-- | Return the element count.
+vectorCount :: Vector a -> IO Int
+vectorCount vector = readIORef (vectorCountRef vector)
+          
+-- | Add the specified element to the end of the vector.
+appendVector :: Vector a -> a -> IO ()          
+appendVector vector item =
+  do count <- readIORef (vectorCountRef vector)
+     vectorEnsureCapacity vector (count + 1)
+     array <- readIORef (vectorArrayRef vector)
+     writeArray array count item
+     writeIORef (vectorCountRef vector) (count + 1)
+     
+-- | Read a value from the vector, where indices are started from 0.
+readVector :: Vector a -> Int -> IO a
+readVector vector index =
+  do array <- readIORef (vectorArrayRef vector)
+     readArray array index
+          
+-- | Set an array item at the specified index which is started from 0.
+writeVector :: Vector a -> Int -> a -> IO ()
+writeVector vector index item =
+  do array <- readIORef (vectorArrayRef vector)
+     writeArray array index item
+
+vectorBinarySearch' :: Ord a => IOArray Int a -> a -> Int -> Int -> IO Int
+vectorBinarySearch' array item left right =
+  if left > right 
+  then return $ - (right + 1) - 1
+  else
+    do let index = (left + right) `div` 2
+       curr <- readArray array index
+       if item < curr 
+         then vectorBinarySearch' array item left (index - 1)
+         else if item == curr
+              then return index
+              else vectorBinarySearch' array item (index + 1) right
+                   
+-- | Return the index of the specified element using binary search; otherwise, 
+-- a negated insertion index minus one: 0 -> -0 - 1, ..., i -> -i - 1, ....
+vectorBinarySearch :: Ord a => Vector a -> a -> IO Int
+vectorBinarySearch vector item =
+  do array <- readIORef (vectorArrayRef vector)
+     count <- readIORef (vectorCountRef vector)
+     vectorBinarySearch' array item 0 (count - 1)
+
+-- | Return the elements of the vector in an immutable array.
+freezeVector :: Vector a -> IO (Array Int a)
+freezeVector vector = 
+  do vector' <- copyVector vector
+     array   <- readIORef (vectorArrayRef vector')
+     freeze array
+     
+-- | Insert the element in the vector at the specified index.
+vectorInsert :: Vector a -> Int -> a -> IO ()          
+vectorInsert vector index item =
+  do count <- readIORef (vectorCountRef vector)
+     when (index < 0) $
+       error $
+       "Index cannot be " ++
+       "negative: vectorInsert."
+     when (index > count) $
+       error $
+       "Index cannot be greater " ++
+       "than the count: vectorInsert."
+     vectorEnsureCapacity vector (count + 1)
+     array <- readIORef (vectorArrayRef vector)
+     forM_ [count, count - 1 .. index + 1] $ \i ->
+       do x <- readArray array (i - 1)
+          writeArray array i x
+     writeArray array index item
+     writeIORef (vectorCountRef vector) (count + 1)
+     
+-- | Delete the element at the specified index.
+vectorDeleteAt :: Vector a -> Int -> IO ()
+vectorDeleteAt vector index =
+  do count <- readIORef (vectorCountRef vector)
+     when (index < 0) $
+       error $
+       "Index cannot be " ++
+       "negative: vectorDeleteAt."
+     when (index >= count) $
+       error $
+       "Index must be less " ++
+       "than the count: vectorDeleteAt."
+     array <- readIORef (vectorArrayRef vector)
+     forM_ [index, index + 1 .. count - 2] $ \i ->
+       do x <- readArray array (i + 1)
+          writeArray array i x
+     writeArray array (count - 1) undefined
+     writeIORef (vectorCountRef vector) (count - 1)
+     
+-- | Return the index of the item or -1.     
+vectorIndex :: Eq a => Vector a -> a -> IO Int
+vectorIndex vector item =
+  do count <- readIORef (vectorCountRef vector)
+     array <- readIORef (vectorArrayRef vector)
+     let loop index =
+           if index >= count
+           then return $ -1
+           else do x <- readArray array index
+                   if item == x
+                     then return index
+                     else loop $ index + 1
+     loop 0
diff --git a/Simulation/Aivika/Vector/Unboxed.hs b/Simulation/Aivika/Vector/Unboxed.hs
--- a/Simulation/Aivika/Vector/Unboxed.hs
+++ b/Simulation/Aivika/Vector/Unboxed.hs
@@ -1,186 +1,186 @@
-
--- |
--- Module     : Simulation.Aivika.Vector.Unboxed
--- Copyright  : Copyright (c) 2009-2013, David Sorokin <david.sorokin@gmail.com>
--- License    : BSD3
--- Maintainer : David Sorokin <david.sorokin@gmail.com>
--- Stability  : experimental
--- Tested with: GHC 7.6.3
---
--- An imperative unboxed vector.
---
-module Simulation.Aivika.Vector.Unboxed
-       (Vector, 
-        newVector, 
-        copyVector, 
-        vectorCount, 
-        appendVector, 
-        readVector, 
-        writeVector, 
-        vectorBinarySearch,
-        vectorInsert,
-        vectorDeleteAt,
-        vectorIndex,
-        freezeVector) where 
-
-import Data.Array
-import Data.Array.MArray.Safe
-import Data.Array.IO.Safe
-import Data.IORef
-import Control.Monad
-
-import Simulation.Aivika.Unboxed
-
--- | Represents an unboxed resizable vector.
-data Vector a = Vector { vectorArrayRef :: IORef (IOUArray Int a),
-                         vectorCountRef :: IORef Int, 
-                         vectorCapacityRef :: IORef Int }
-
--- | Create a new vector.
-newVector :: Unboxed a => IO (Vector a)
-newVector = 
-  do array <- newUnboxedArray_ (0, 4 - 1)
-     arrayRef <- newIORef array
-     countRef <- newIORef 0
-     capacityRef <- newIORef 4
-     return Vector { vectorArrayRef = arrayRef,
-                     vectorCountRef = countRef,
-                     vectorCapacityRef = capacityRef }
-
--- | Copy the vector.
-copyVector :: Unboxed a => Vector a -> IO (Vector a)
-copyVector vector =
-  do array <- readIORef (vectorArrayRef vector)
-     count <- readIORef (vectorCountRef vector)
-     array' <- newUnboxedArray_ (0, count - 1)
-     arrayRef' <- newIORef array'
-     countRef' <- newIORef count
-     capacityRef' <- newIORef count
-     forM_ [0 .. count - 1] $ \i ->
-       do x <- readArray array i
-          writeArray array' i x
-     return Vector { vectorArrayRef = arrayRef',
-                     vectorCountRef = countRef',
-                     vectorCapacityRef = capacityRef' }
-
--- | Ensure that the vector has the specified capacity.
-vectorEnsureCapacity :: Unboxed a => Vector a -> Int -> IO ()
-vectorEnsureCapacity vector capacity =
-  do capacity' <- readIORef (vectorCapacityRef vector)
-     when (capacity' < capacity) $
-       do array' <- readIORef (vectorArrayRef vector)
-          count' <- readIORef (vectorCountRef vector)
-          let capacity'' = max (2 * capacity') capacity
-          array'' <- newUnboxedArray_ (0, capacity'' - 1)
-          forM_ [0 .. count' - 1] $ \i ->
-            do x <- readArray array' i
-               writeArray array'' i x
-          writeIORef (vectorArrayRef vector) array''
-          writeIORef (vectorCapacityRef vector) capacity''
-          
--- | Return the element count.
-vectorCount :: Unboxed a => Vector a -> IO Int
-vectorCount vector = readIORef (vectorCountRef vector)
-          
--- | Add the specified element to the end of the vector.
-appendVector :: Unboxed a => Vector a -> a -> IO ()          
-appendVector vector item =
-  do count <- readIORef (vectorCountRef vector)
-     vectorEnsureCapacity vector (count + 1)
-     array <- readIORef (vectorArrayRef vector)
-     writeArray array count item
-     writeIORef (vectorCountRef vector) (count + 1)
-     
--- | Read a value from the vector, where indices are started from 0.
-readVector :: Unboxed a => Vector a -> Int -> IO a
-readVector vector index =
-  do array <- readIORef (vectorArrayRef vector)
-     readArray array index
-          
--- | Set an array item at the specified index which is started from 0.
-writeVector :: Unboxed a => Vector a -> Int -> a -> IO ()
-writeVector vector index item =
-  do array <- readIORef (vectorArrayRef vector)
-     writeArray array index item
-          
-vectorBinarySearch' :: (Unboxed a, Ord a) => IOUArray Int a -> a -> Int -> Int -> IO Int
-vectorBinarySearch' array item left right =
-  if left > right 
-  then return $ - (right + 1) - 1
-  else
-    do let index = (left + right) `div` 2
-       curr <- readArray array index
-       if item < curr 
-         then vectorBinarySearch' array item left (index - 1)
-         else if item == curr
-              then return index
-              else vectorBinarySearch' array item (index + 1) right
-                   
--- | Return the index of the specified element using binary search; otherwise, 
--- a negated insertion index minus one: 0 -> -0 - 1, ..., i -> -i - 1, ....
-vectorBinarySearch :: (Unboxed a, Ord a) => Vector a -> a -> IO Int
-vectorBinarySearch vector item =
-  do array <- readIORef (vectorArrayRef vector)
-     count <- readIORef (vectorCountRef vector)
-     vectorBinarySearch' array item 0 (count - 1)
-
--- | Return the elements of the vector in an immutable array.
-freezeVector :: Unboxed a => Vector a -> IO (Array Int a)
-freezeVector vector = 
-  do vector' <- copyVector vector
-     array   <- readIORef (vectorArrayRef vector')
-     freeze array
-     
--- | Insert the element in the vector at the specified index.
-vectorInsert :: Unboxed a => Vector a -> Int -> a -> IO ()          
-vectorInsert vector index item =
-  do count <- readIORef (vectorCountRef vector)
-     when (index < 0) $
-       error $
-       "Index cannot be " ++
-       "negative: vectorInsert."
-     when (index > count) $
-       error $
-       "Index cannot be greater " ++
-       "than the count: vectorInsert."
-     vectorEnsureCapacity vector (count + 1)
-     array <- readIORef (vectorArrayRef vector)
-     forM_ [count, count - 1 .. index + 1] $ \i ->
-       do x <- readArray array (i - 1)
-          writeArray array i x
-     writeArray array index item
-     writeIORef (vectorCountRef vector) (count + 1)
-     
--- | Delete the element at the specified index.
-vectorDeleteAt :: Unboxed a => Vector a -> Int -> IO ()
-vectorDeleteAt vector index =
-  do count <- readIORef (vectorCountRef vector)
-     when (index < 0) $
-       error $
-       "Index cannot be " ++
-       "negative: vectorDeleteAt."
-     when (index >= count) $
-       error $
-       "Index must be less " ++
-       "than the count: vectorDeleteAt."
-     array <- readIORef (vectorArrayRef vector)
-     forM_ [index, index + 1 .. count - 2] $ \i ->
-       do x <- readArray array (i + 1)
-          writeArray array i x
-     writeArray array (count - 1) undefined
-     writeIORef (vectorCountRef vector) (count - 1)
-     
--- | Return the index of the item or -1.     
-vectorIndex :: (Unboxed a, Eq a) => Vector a -> a -> IO Int
-vectorIndex vector item =
-  do count <- readIORef (vectorCountRef vector)
-     array <- readIORef (vectorArrayRef vector)
-     let loop index =
-           if index >= count
-           then return $ -1
-           else do x <- readArray array index
-                   if item == x
-                     then return index
-                     else loop $ index + 1
-     loop 0
-     
+
+-- |
+-- Module     : Simulation.Aivika.Vector.Unboxed
+-- Copyright  : Copyright (c) 2009-2014, David Sorokin <david.sorokin@gmail.com>
+-- License    : BSD3
+-- Maintainer : David Sorokin <david.sorokin@gmail.com>
+-- Stability  : experimental
+-- Tested with: GHC 7.8.3
+--
+-- An imperative unboxed vector.
+--
+module Simulation.Aivika.Vector.Unboxed
+       (Vector, 
+        newVector, 
+        copyVector, 
+        vectorCount, 
+        appendVector, 
+        readVector, 
+        writeVector, 
+        vectorBinarySearch,
+        vectorInsert,
+        vectorDeleteAt,
+        vectorIndex,
+        freezeVector) where 
+
+import Data.Array
+import Data.Array.MArray.Safe
+import Data.Array.IO.Safe
+import Data.IORef
+import Control.Monad
+
+import Simulation.Aivika.Unboxed
+
+-- | Represents an unboxed resizable vector.
+data Vector a = Vector { vectorArrayRef :: IORef (IOUArray Int a),
+                         vectorCountRef :: IORef Int, 
+                         vectorCapacityRef :: IORef Int }
+
+-- | Create a new vector.
+newVector :: Unboxed a => IO (Vector a)
+newVector = 
+  do array <- newUnboxedArray_ (0, 4 - 1)
+     arrayRef <- newIORef array
+     countRef <- newIORef 0
+     capacityRef <- newIORef 4
+     return Vector { vectorArrayRef = arrayRef,
+                     vectorCountRef = countRef,
+                     vectorCapacityRef = capacityRef }
+
+-- | Copy the vector.
+copyVector :: Unboxed a => Vector a -> IO (Vector a)
+copyVector vector =
+  do array <- readIORef (vectorArrayRef vector)
+     count <- readIORef (vectorCountRef vector)
+     array' <- newUnboxedArray_ (0, count - 1)
+     arrayRef' <- newIORef array'
+     countRef' <- newIORef count
+     capacityRef' <- newIORef count
+     forM_ [0 .. count - 1] $ \i ->
+       do x <- readArray array i
+          writeArray array' i x
+     return Vector { vectorArrayRef = arrayRef',
+                     vectorCountRef = countRef',
+                     vectorCapacityRef = capacityRef' }
+
+-- | Ensure that the vector has the specified capacity.
+vectorEnsureCapacity :: Unboxed a => Vector a -> Int -> IO ()
+vectorEnsureCapacity vector capacity =
+  do capacity' <- readIORef (vectorCapacityRef vector)
+     when (capacity' < capacity) $
+       do array' <- readIORef (vectorArrayRef vector)
+          count' <- readIORef (vectorCountRef vector)
+          let capacity'' = max (2 * capacity') capacity
+          array'' <- newUnboxedArray_ (0, capacity'' - 1)
+          forM_ [0 .. count' - 1] $ \i ->
+            do x <- readArray array' i
+               writeArray array'' i x
+          writeIORef (vectorArrayRef vector) array''
+          writeIORef (vectorCapacityRef vector) capacity''
+          
+-- | Return the element count.
+vectorCount :: Unboxed a => Vector a -> IO Int
+vectorCount vector = readIORef (vectorCountRef vector)
+          
+-- | Add the specified element to the end of the vector.
+appendVector :: Unboxed a => Vector a -> a -> IO ()          
+appendVector vector item =
+  do count <- readIORef (vectorCountRef vector)
+     vectorEnsureCapacity vector (count + 1)
+     array <- readIORef (vectorArrayRef vector)
+     writeArray array count item
+     writeIORef (vectorCountRef vector) (count + 1)
+     
+-- | Read a value from the vector, where indices are started from 0.
+readVector :: Unboxed a => Vector a -> Int -> IO a
+readVector vector index =
+  do array <- readIORef (vectorArrayRef vector)
+     readArray array index
+          
+-- | Set an array item at the specified index which is started from 0.
+writeVector :: Unboxed a => Vector a -> Int -> a -> IO ()
+writeVector vector index item =
+  do array <- readIORef (vectorArrayRef vector)
+     writeArray array index item
+          
+vectorBinarySearch' :: (Unboxed a, Ord a) => IOUArray Int a -> a -> Int -> Int -> IO Int
+vectorBinarySearch' array item left right =
+  if left > right 
+  then return $ - (right + 1) - 1
+  else
+    do let index = (left + right) `div` 2
+       curr <- readArray array index
+       if item < curr 
+         then vectorBinarySearch' array item left (index - 1)
+         else if item == curr
+              then return index
+              else vectorBinarySearch' array item (index + 1) right
+                   
+-- | Return the index of the specified element using binary search; otherwise, 
+-- a negated insertion index minus one: 0 -> -0 - 1, ..., i -> -i - 1, ....
+vectorBinarySearch :: (Unboxed a, Ord a) => Vector a -> a -> IO Int
+vectorBinarySearch vector item =
+  do array <- readIORef (vectorArrayRef vector)
+     count <- readIORef (vectorCountRef vector)
+     vectorBinarySearch' array item 0 (count - 1)
+
+-- | Return the elements of the vector in an immutable array.
+freezeVector :: Unboxed a => Vector a -> IO (Array Int a)
+freezeVector vector = 
+  do vector' <- copyVector vector
+     array   <- readIORef (vectorArrayRef vector')
+     freeze array
+     
+-- | Insert the element in the vector at the specified index.
+vectorInsert :: Unboxed a => Vector a -> Int -> a -> IO ()          
+vectorInsert vector index item =
+  do count <- readIORef (vectorCountRef vector)
+     when (index < 0) $
+       error $
+       "Index cannot be " ++
+       "negative: vectorInsert."
+     when (index > count) $
+       error $
+       "Index cannot be greater " ++
+       "than the count: vectorInsert."
+     vectorEnsureCapacity vector (count + 1)
+     array <- readIORef (vectorArrayRef vector)
+     forM_ [count, count - 1 .. index + 1] $ \i ->
+       do x <- readArray array (i - 1)
+          writeArray array i x
+     writeArray array index item
+     writeIORef (vectorCountRef vector) (count + 1)
+     
+-- | Delete the element at the specified index.
+vectorDeleteAt :: Unboxed a => Vector a -> Int -> IO ()
+vectorDeleteAt vector index =
+  do count <- readIORef (vectorCountRef vector)
+     when (index < 0) $
+       error $
+       "Index cannot be " ++
+       "negative: vectorDeleteAt."
+     when (index >= count) $
+       error $
+       "Index must be less " ++
+       "than the count: vectorDeleteAt."
+     array <- readIORef (vectorArrayRef vector)
+     forM_ [index, index + 1 .. count - 2] $ \i ->
+       do x <- readArray array (i + 1)
+          writeArray array i x
+     writeArray array (count - 1) undefined
+     writeIORef (vectorCountRef vector) (count - 1)
+     
+-- | Return the index of the item or -1.     
+vectorIndex :: (Unboxed a, Eq a) => Vector a -> a -> IO Int
+vectorIndex vector item =
+  do count <- readIORef (vectorCountRef vector)
+     array <- readIORef (vectorArrayRef vector)
+     let loop index =
+           if index >= count
+           then return $ -1
+           else do x <- readArray array index
+                   if item == x
+                     then return index
+                     else loop $ index + 1
+     loop 0
+     
diff --git a/aivika.cabal b/aivika.cabal
--- a/aivika.cabal
+++ b/aivika.cabal
@@ -1,200 +1,203 @@
-name:            aivika
-version:         1.4
-synopsis:        A multi-paradigm simulation library
-description:
-    Aivika is a multi-paradigm simulation library with a strong emphasis
-    on Discrete Event Simulation (DES) and System Dynamics (SD).
-    .
-    The library has the following features:
-    .
-    * allows defining recursive stochastic differential equations of 
-      System Dynamics (unordered as in maths via the recursive do-notation);
-    .
-    * supports the event-driven paradigm of DES as a basic core for 
-      implementing other paradigms;
-    .
-    * supports extensively the process-oriented paradigm of DES
-      with an ability to resume, suspend and cancel 
-      the discontinuous processes;
-    .
-    * allows working with the resources based on specified queue strategies 
-      (FCFS\/FIFO, LCFS\/LIFO, SIRO, static priorities and so on);
-    .
-    * allows customizing the infinite and finite queues based on strategies too;
-    .
-    * allows defining a queue network based on infinite streams of data
-      and their processors, where we can define a complex enough
-      behaviour just in a few lines of code;
-    .
-    * allows simulating circuits with recursive links and delays;
-    .
-    * supports the activity-oriented paradigm of DES;
-    .
-    * supports the basic constructs for the agent-based modeling;
-    .
-    * allows creating combined discrete-continuous models as all parts
-      of the library are well integrated and this is reflected directly 
-      in the type system;
-    .
-    * the arrays of simulation variables are inherently supported;
-    .
-    * supports the Monte-Carlo simulation;
-    .
-    * the simulation model can depend on external parameters;
-    .
-    * uses extensively signals for notification;
-    .
-    * allows gathering statistics in time points;
-    .
-    * hides technical details in high-level simulation computations
-      (monads and arrows).
-    .
-    Aivika itself is a light-weight engine with minimal dependencies. 
-    However, it has additional packages Aivika Experiment [1] and 
-    Aivika Experiment Chart [2] that offer the following features:
-    .
-    * automating the simulation experiments;
-    .
-    * saving the results in CSV files;
-    .
-    * plotting the deviation chart by rule 3-sigma, histogram, 
-      time series, XY chart;
-    .
-    * collecting the summary of statistical data;
-    .
-    * parallel execution of the Monte-Carlo simulation;
-    .
-    * have an extensible architecture.
-    .
-    All three libraries were tested on Linux, Windows and OS X.
-    .
-    The PDF documentation is available on the Aivika Wiki [3] website.
-    .
-    \[1] <http://hackage.haskell.org/package/aivika-experiment>
-    .
-    \[2] <http://hackage.haskell.org/package/aivika-experiment-chart>
-    .
-    \[3] <https://github.com/dsorokin/aivika/wiki>
-    .
-    P.S. Aivika is actually a genuine female Mari name which is pronounced 
-    with stress on the last syllable.
-category:        Simulation
-license:         BSD3
-license-file:    LICENSE
-copyright:       (c) 2009-2014. David Sorokin <david.sorokin@gmail.com>
-author:          David Sorokin
-maintainer:      David Sorokin <david.sorokin@gmail.com>
-homepage:        http://github.com/dsorokin/aivika
-cabal-version:   >= 1.10
-build-type:      Simple
-tested-with:     GHC == 7.8.3
-
-extra-source-files:  examples/BassDiffusion.hs
-                     examples/ChemicalReaction.hs
-                     examples/ChemicalReactionCircuit.hs
-                     examples/FishBank.hs
-                     examples/MachRep1.hs
-                     examples/MachRep1EventDriven.hs
-                     examples/MachRep1TimeDriven.hs
-                     examples/MachRep2.hs
-                     examples/MachRep3.hs
-                     examples/Furnace.hs
-                     examples/InspectionAdjustmentStations.hs
-                     examples/WorkStationsInSeries.hs
-                     examples/TimeOut.hs
-                     examples/TimeOutInt.hs
-                     examples/TimeOutWait.hs
-
-flag haste-inst
-    
-    description: The package is built using haste-inst
-    default:     False
-
-library
-
-    exposed-modules: Simulation.Aivika
-                     Simulation.Aivika.Agent
-                     Simulation.Aivika.Arrival
-                     Simulation.Aivika.Circuit
-                     Simulation.Aivika.Cont
-                     Simulation.Aivika.DoubleLinkedList
-                     Simulation.Aivika.Dynamics
-                     Simulation.Aivika.Dynamics.Fold
-                     Simulation.Aivika.Dynamics.Interpolate
-                     Simulation.Aivika.Dynamics.Memo
-                     Simulation.Aivika.Dynamics.Memo.Unboxed
-                     Simulation.Aivika.Dynamics.Random
-                     Simulation.Aivika.Event
-                     Simulation.Aivika.Generator
-                     Simulation.Aivika.Net
-                     Simulation.Aivika.Parameter
-                     Simulation.Aivika.Parameter.Random
-                     Simulation.Aivika.PriorityQueue
-                     Simulation.Aivika.Process
-                     Simulation.Aivika.Processor
-                     Simulation.Aivika.Processor.RoundRobbin
-                     Simulation.Aivika.Queue
-                     Simulation.Aivika.Queue.Infinite
-                     Simulation.Aivika.QueueStrategy
-                     Simulation.Aivika.Ref
-                     Simulation.Aivika.Ref.Light
-                     Simulation.Aivika.Resource
-                     Simulation.Aivika.Results.Locale
-                     Simulation.Aivika.Results
-                     Simulation.Aivika.Results.IO
-                     Simulation.Aivika.Server
-                     Simulation.Aivika.Signal
-                     Simulation.Aivika.Simulation
-                     Simulation.Aivika.Specs
-                     Simulation.Aivika.Statistics
-                     Simulation.Aivika.Statistics.Accumulator
-                     Simulation.Aivika.Stream
-                     Simulation.Aivika.Stream.Random
-                     Simulation.Aivika.SystemDynamics
-                     Simulation.Aivika.Table
-                     Simulation.Aivika.Task
-                     Simulation.Aivika.Transform
-                     Simulation.Aivika.Unboxed
-                     Simulation.Aivika.Var
-                     Simulation.Aivika.Var.Unboxed
-                     Simulation.Aivika.Vector
-                     Simulation.Aivika.Vector.Unboxed
-
-    other-modules:   Simulation.Aivika.Internal.Cont
-                     Simulation.Aivika.Internal.Dynamics
-                     Simulation.Aivika.Internal.Event
-                     Simulation.Aivika.Internal.Parameter
-                     Simulation.Aivika.Internal.Process
-                     Simulation.Aivika.Internal.Signal
-                     Simulation.Aivika.Internal.Simulation
-                     Simulation.Aivika.Internal.Specs
-                     Simulation.Aivika.Internal.Arrival
-                     
-    build-depends:   base >= 4.5.0.0 && < 6,
-                     mtl >= 2.1.1,
-                     array >= 0.3.0.0,
-                     containers >= 0.4.0.0,
-                     random >= 1.0.0.3
-
-    if !flag(haste-inst)
-       build-depends:   vector >= 0.10.0.1
-
-    other-extensions:   FlexibleContexts,
-                        FlexibleInstances,
-                        UndecidableInstances,
-                        BangPatterns,
-                        RecursiveDo,
-                        Arrows,
-                        MultiParamTypeClasses,
-                        FunctionalDependencies,
-                        ExistentialQuantification,
-                        CPP
-                     
-    ghc-options:     -O2
-
-    default-language:   Haskell2010
-
-source-repository head
-
-    type:     git
-    location: https://github.com/dsorokin/aivika
+name:            aivika
+version:         2.0
+synopsis:        A multi-paradigm simulation library
+description:
+    Aivika is a multi-paradigm simulation library with a strong emphasis
+    on Discrete Event Simulation (DES) and System Dynamics (SD).
+    .
+    The library has the following features:
+    .
+    * allows defining recursive stochastic differential equations of 
+      System Dynamics (unordered as in maths via the recursive do-notation);
+    .
+    * supports the event-driven paradigm of DES as a basic core for 
+      implementing other paradigms;
+    .
+    * supports extensively the process-oriented paradigm of DES
+      with an ability to resume, suspend and cancel 
+      the discontinuous processes;
+    .
+    * allows working with the resources based on specified queue strategies 
+      (FCFS\/FIFO, LCFS\/LIFO, SIRO, static priorities and so on);
+    .
+    * allows customizing the infinite and finite queues based on strategies too;
+    .
+    * allows defining a queue network based on infinite streams of data
+      and their processors, where we can define a complex enough
+      behaviour just in a few lines of code;
+    .
+    * allows simulating circuits with recursive links and delays;
+    .
+    * supports the activity-oriented paradigm of DES;
+    .
+    * supports the basic constructs for the agent-based modeling;
+    .
+    * allows creating combined discrete-continuous models as all parts
+      of the library are well integrated and this is reflected directly 
+      in the type system;
+    .
+    * the arrays of simulation variables are inherently supported;
+    .
+    * supports the Monte-Carlo simulation;
+    .
+    * the simulation model can depend on external parameters;
+    .
+    * uses extensively signals for notification;
+    .
+    * allows gathering statistics in time points;
+    .
+    * hides technical details in high-level simulation computations
+      (monads and arrows).
+    .
+    Aivika itself is a light-weight engine with minimal dependencies. 
+    However, it has additional packages Aivika Experiment [1] and 
+    Aivika Experiment Chart [2] that offer the following features:
+    .
+    * automating the simulation experiments;
+    .
+    * saving the results in CSV files;
+    .
+    * plotting the deviation chart by rule 3-sigma, histogram, 
+      time series, XY chart;
+    .
+    * collecting the summary of statistical data;
+    .
+    * parallel execution of the Monte-Carlo simulation;
+    .
+    * have an extensible architecture.
+    .
+    All three libraries were tested on Linux, Windows and OS X.
+    .
+    The PDF documentation is available on the Aivika Wiki [3] website.
+    .
+    \[1] <http://hackage.haskell.org/package/aivika-experiment>
+    .
+    \[2] <http://hackage.haskell.org/package/aivika-experiment-chart>
+    .
+    \[3] <https://github.com/dsorokin/aivika/wiki>
+    .
+    P.S. Aivika is actually a genuine female Mari name which is pronounced 
+    with stress on the last syllable.
+category:        Simulation
+license:         BSD3
+license-file:    LICENSE
+copyright:       (c) 2009-2014. David Sorokin <david.sorokin@gmail.com>
+author:          David Sorokin
+maintainer:      David Sorokin <david.sorokin@gmail.com>
+homepage:        http://github.com/dsorokin/aivika
+cabal-version:   >= 1.10
+build-type:      Simple
+tested-with:     GHC == 7.8.3
+
+extra-source-files:  examples/BassDiffusion.hs
+                     examples/ChemicalReaction.hs
+                     examples/ChemicalReactionCircuit.hs
+                     examples/FishBank.hs
+                     examples/MachRep1.hs
+                     examples/MachRep1EventDriven.hs
+                     examples/MachRep1TimeDriven.hs
+                     examples/MachRep2.hs
+                     examples/MachRep3.hs
+                     examples/Furnace.hs
+                     examples/InspectionAdjustmentStations.hs
+                     examples/WorkStationsInSeries.hs
+                     examples/TimeOut.hs
+                     examples/TimeOutInt.hs
+                     examples/TimeOutWait.hs
+
+flag haste-inst
+    
+    description: The package is built using haste-inst
+    default:     False
+
+library
+
+    exposed-modules: Simulation.Aivika
+                     Simulation.Aivika.Agent
+                     Simulation.Aivika.Arrival
+                     Simulation.Aivika.Circuit
+                     Simulation.Aivika.Cont
+                     Simulation.Aivika.DoubleLinkedList
+                     Simulation.Aivika.Dynamics
+                     Simulation.Aivika.Dynamics.Extra
+                     Simulation.Aivika.Dynamics.Memo
+                     Simulation.Aivika.Dynamics.Memo.Unboxed
+                     Simulation.Aivika.Dynamics.Random
+                     Simulation.Aivika.Event
+                     Simulation.Aivika.Generator
+                     Simulation.Aivika.Net
+                     Simulation.Aivika.Parameter
+                     Simulation.Aivika.Parameter.Random
+                     Simulation.Aivika.PriorityQueue
+                     Simulation.Aivika.Process
+                     Simulation.Aivika.Processor
+                     Simulation.Aivika.Processor.RoundRobbin
+                     Simulation.Aivika.Queue
+                     Simulation.Aivika.Queue.Infinite
+                     Simulation.Aivika.QueueStrategy
+                     Simulation.Aivika.Ref
+                     Simulation.Aivika.Ref.Plain
+                     Simulation.Aivika.Resource
+                     Simulation.Aivika.Results.Locale
+                     Simulation.Aivika.Results
+                     Simulation.Aivika.Results.IO
+                     Simulation.Aivika.Server
+                     Simulation.Aivika.Signal
+                     Simulation.Aivika.Simulation
+                     Simulation.Aivika.Specs
+                     Simulation.Aivika.Statistics
+                     Simulation.Aivika.Statistics.Accumulator
+                     Simulation.Aivika.Stream
+                     Simulation.Aivika.Stream.Random
+                     Simulation.Aivika.SystemDynamics
+                     Simulation.Aivika.Table
+                     Simulation.Aivika.Task
+                     Simulation.Aivika.Transform
+                     Simulation.Aivika.Transform.Extra
+                     Simulation.Aivika.Transform.Memo
+                     Simulation.Aivika.Transform.Memo.Unboxed
+                     Simulation.Aivika.Unboxed
+                     Simulation.Aivika.Var
+                     Simulation.Aivika.Var.Unboxed
+                     Simulation.Aivika.Vector
+                     Simulation.Aivika.Vector.Unboxed
+
+    other-modules:   Simulation.Aivika.Internal.Cont
+                     Simulation.Aivika.Internal.Dynamics
+                     Simulation.Aivika.Internal.Event
+                     Simulation.Aivika.Internal.Parameter
+                     Simulation.Aivika.Internal.Process
+                     Simulation.Aivika.Internal.Signal
+                     Simulation.Aivika.Internal.Simulation
+                     Simulation.Aivika.Internal.Specs
+                     Simulation.Aivika.Internal.Arrival
+                     
+    build-depends:   base >= 4.5.0.0 && < 6,
+                     mtl >= 2.1.1,
+                     array >= 0.3.0.0,
+                     containers >= 0.4.0.0,
+                     random >= 1.0.0.3
+
+    if !flag(haste-inst)
+       build-depends:   vector >= 0.10.0.1
+
+    other-extensions:   FlexibleContexts,
+                        FlexibleInstances,
+                        UndecidableInstances,
+                        BangPatterns,
+                        RecursiveDo,
+                        Arrows,
+                        MultiParamTypeClasses,
+                        FunctionalDependencies,
+                        ExistentialQuantification,
+                        TypeFamilies,
+                        CPP
+                     
+    ghc-options:     -O2
+
+    default-language:   Haskell2010
+
+source-repository head
+
+    type:     git
+    location: https://github.com/dsorokin/aivika
diff --git a/examples/BassDiffusion.hs b/examples/BassDiffusion.hs
--- a/examples/BassDiffusion.hs
+++ b/examples/BassDiffusion.hs
@@ -1,104 +1,104 @@
-
--- This is the Bass Diffusion model solved with help of 
--- the Agent-based Modeling as described in the AnyLogic 
--- documentation.
-
-import Data.Array
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-n = 500    -- the number of agents
-
-advertisingEffectiveness = 0.011
-contactRate = 100.0
-adoptionFraction = 0.015
-
-specs = Specs { spcStartTime = 0.0, 
-                spcStopTime = 8.0,
-                spcDT = 0.1,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
-data Person = Person { personAgent :: Agent,
-                       personPotentialAdopter :: AgentState,
-                       personAdopter :: AgentState }
-              
-createPerson :: Simulation Person              
-createPerson =    
-  do agent <- newAgent
-     potentialAdopter <- newState agent
-     adopter <- newState agent
-     return Person { personAgent = agent,
-                     personPotentialAdopter = potentialAdopter,
-                     personAdopter = adopter }
-       
-createPersons :: Simulation (Array Int Person)
-createPersons =
-  do list <- forM [1 .. n] $ \i ->
-       do p <- createPerson
-          return (i, p)
-     return $ array (1, n) list
-     
-definePerson :: Person -> Array Int Person -> Ref Int -> Ref Int -> Simulation ()
-definePerson p ps potentialAdopters adopters =
-  do setStateActivation (personPotentialAdopter p) $
-       do modifyRef potentialAdopters $ \a -> a + 1
-          -- add a timeout
-          t <- liftParameter $
-               randomExponential (1 / advertisingEffectiveness) 
-          let st  = personPotentialAdopter p
-              st' = personAdopter p
-          addTimeout st t $ selectState st'
-     setStateActivation (personAdopter p) $ 
-       do modifyRef adopters  $ \a -> a + 1
-          -- add a timer that works while the state is active
-          let t = liftParameter $
-                  randomExponential (1 / contactRate)    -- many times!
-          addTimer (personAdopter p) t $
-            do i <- liftParameter $
-                    randomUniformInt 1 n
-               let p' = ps ! i
-               st <- selectedState (personAgent p')
-               when (st == Just (personPotentialAdopter p')) $
-                 do b <- liftParameter $
-                         randomTrue adoptionFraction
-                    when b $ selectState (personAdopter p')
-     setStateDeactivation (personPotentialAdopter p) $
-       modifyRef potentialAdopters $ \a -> a - 1
-     setStateDeactivation (personAdopter p) $
-       modifyRef adopters $ \a -> a - 1
-        
-definePersons :: Array Int Person -> Ref Int -> Ref Int -> Simulation ()
-definePersons ps potentialAdopters adopters =
-  forM_ (elems ps) $ \p -> 
-  definePerson p ps potentialAdopters adopters
-                               
-activatePerson :: Person -> Event ()
-activatePerson p = selectState (personPotentialAdopter p)
-
-activatePersons :: Array Int Person -> Event ()
-activatePersons ps =
-  forM_ (elems ps) $ \p -> activatePerson p
-
-model :: Simulation Results
-model =
-  do potentialAdopters <- newRef 0
-     adopters <- newRef 0
-     ps <- createPersons
-     definePersons ps potentialAdopters adopters
-     runEventInStartTime $
-       activatePersons ps
-     return $ 
-       results
-       [resultSource 
-        "potentialAdopter" "potential adopters" potentialAdopters,
-        resultSource 
-        "adopters" "adopters" adopters]
-
-main =
-  printSimulationResultsInIntegTimes
-  printResultSourceInEnglish
-  model specs
+
+-- This is the Bass Diffusion model solved with help of 
+-- the Agent-based Modeling as described in the AnyLogic 
+-- documentation.
+
+import Data.Array
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+n = 500    -- the number of agents
+
+advertisingEffectiveness = 0.011
+contactRate = 100.0
+adoptionFraction = 0.015
+
+specs = Specs { spcStartTime = 0.0, 
+                spcStopTime = 8.0,
+                spcDT = 0.1,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+data Person = Person { personAgent :: Agent,
+                       personPotentialAdopter :: AgentState,
+                       personAdopter :: AgentState }
+              
+createPerson :: Simulation Person              
+createPerson =    
+  do agent <- newAgent
+     potentialAdopter <- newState agent
+     adopter <- newState agent
+     return Person { personAgent = agent,
+                     personPotentialAdopter = potentialAdopter,
+                     personAdopter = adopter }
+       
+createPersons :: Simulation (Array Int Person)
+createPersons =
+  do list <- forM [1 .. n] $ \i ->
+       do p <- createPerson
+          return (i, p)
+     return $ array (1, n) list
+     
+definePerson :: Person -> Array Int Person -> Ref Int -> Ref Int -> Simulation ()
+definePerson p ps potentialAdopters adopters =
+  do setStateActivation (personPotentialAdopter p) $
+       do modifyRef potentialAdopters $ \a -> a + 1
+          -- add a timeout
+          t <- liftParameter $
+               randomExponential (1 / advertisingEffectiveness) 
+          let st  = personPotentialAdopter p
+              st' = personAdopter p
+          addTimeout st t $ selectState st'
+     setStateActivation (personAdopter p) $ 
+       do modifyRef adopters  $ \a -> a + 1
+          -- add a timer that works while the state is active
+          let t = liftParameter $
+                  randomExponential (1 / contactRate)    -- many times!
+          addTimer (personAdopter p) t $
+            do i <- liftParameter $
+                    randomUniformInt 1 n
+               let p' = ps ! i
+               st <- selectedState (personAgent p')
+               when (st == Just (personPotentialAdopter p')) $
+                 do b <- liftParameter $
+                         randomTrue adoptionFraction
+                    when b $ selectState (personAdopter p')
+     setStateDeactivation (personPotentialAdopter p) $
+       modifyRef potentialAdopters $ \a -> a - 1
+     setStateDeactivation (personAdopter p) $
+       modifyRef adopters $ \a -> a - 1
+        
+definePersons :: Array Int Person -> Ref Int -> Ref Int -> Simulation ()
+definePersons ps potentialAdopters adopters =
+  forM_ (elems ps) $ \p -> 
+  definePerson p ps potentialAdopters adopters
+                               
+activatePerson :: Person -> Event ()
+activatePerson p = selectState (personPotentialAdopter p)
+
+activatePersons :: Array Int Person -> Event ()
+activatePersons ps =
+  forM_ (elems ps) $ \p -> activatePerson p
+
+model :: Simulation Results
+model =
+  do potentialAdopters <- newRef 0
+     adopters <- newRef 0
+     ps <- createPersons
+     definePersons ps potentialAdopters adopters
+     runEventInStartTime $
+       activatePersons ps
+     return $ 
+       results
+       [resultSource 
+        "potentialAdopter" "potential adopters" potentialAdopters,
+        resultSource 
+        "adopters" "adopters" adopters]
+
+main =
+  printSimulationResultsInIntegTimes
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/ChemicalReaction.hs b/examples/ChemicalReaction.hs
--- a/examples/ChemicalReaction.hs
+++ b/examples/ChemicalReaction.hs
@@ -1,30 +1,30 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
-import Simulation.Aivika
-import Simulation.Aivika.SystemDynamics
-
-import qualified Data.Vector as V
-
-specs = Specs { spcStartTime = 0, 
-                spcStopTime = 13, 
-                spcDT = 0.01,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
-model :: Simulation Results
-model = 
-  mdo a <- integ (- ka * a) 100
-      b <- integ (ka * a - kb * b) 0
-      c <- integ (kb * b) 0
-      let ka = 1
-          kb = 1
-      return $ results
-        [resultSource "a" "variable A" a,
-         resultSource "b" "variable B" b,
-         resultSource "c" "variable C" c]
-
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+{-# LANGUAGE RecursiveDo #-}
+
+import Simulation.Aivika
+import Simulation.Aivika.SystemDynamics
+
+import qualified Data.Vector as V
+
+specs = Specs { spcStartTime = 0, 
+                spcStopTime = 13, 
+                spcDT = 0.01,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+model :: Simulation Results
+model = 
+  mdo a <- integ (- ka * a) 100
+      b <- integ (ka * a - kb * b) 0
+      c <- integ (kb * b) 0
+      let ka = 1
+          kb = 1
+      return $ results
+        [resultSource "a" "variable A" a,
+         resultSource "b" "variable B" b,
+         resultSource "c" "variable C" c]
+
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/ChemicalReactionCircuit.hs b/examples/ChemicalReactionCircuit.hs
--- a/examples/ChemicalReactionCircuit.hs
+++ b/examples/ChemicalReactionCircuit.hs
@@ -1,43 +1,43 @@
-
--- Note that the integCircut function uses Euler's method regardless of
--- the simulation specs specified. Therefore, to receieve almost the same
--- results in the old example based on using the integ function, you should
--- specify Euler's method in their specs in that file, although the Runge-Kutta
--- method gives similar results too, which is expected.
---
--- Finally, the integ function can be significantly faster than integCircuit,
--- although they have different purposes.
-
-{-# LANGUAGE Arrows #-}
-
-import Control.Arrow
-
-import Simulation.Aivika
-
-specs = Specs { spcStartTime = 0, 
-                spcStopTime = 13, 
-                spcDT = 0.01,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
-circuit :: Circuit () [Double]
-circuit =
-  let ka = 1
-      kb = 1
-  in proc () -> do
-    rec let da = - ka * a
-            db = ka * a - kb * b
-            dc = kb * b
-        a  <- integCircuit 100 -< da
-        b  <- integCircuit 0 -< db
-        c  <- integCircuit 0 -< dc
-    returnA -< [a, b, c]
-
-model :: Simulation [Double]
-model =
-  do results <-
-       runTransform (circuitTransform circuit) $
-       return ()
-     runDynamicsInStopTime results
-
-main = runSimulation model specs >>= print
+
+-- Note that the integCircut function uses Euler's method regardless of
+-- the simulation specs specified. Therefore, to receieve almost the same
+-- results in the old example based on using the integ function, you should
+-- specify Euler's method in their specs in that file, although the Runge-Kutta
+-- method gives similar results too, which is expected.
+--
+-- Finally, the integ function can be significantly faster than integCircuit,
+-- although they have different purposes.
+
+{-# LANGUAGE Arrows #-}
+
+import Control.Arrow
+
+import Simulation.Aivika
+
+specs = Specs { spcStartTime = 0, 
+                spcStopTime = 13, 
+                spcDT = 0.01,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+circuit :: Circuit () [Double]
+circuit =
+  let ka = 1
+      kb = 1
+  in proc () -> do
+    rec let da = - ka * a
+            db = ka * a - kb * b
+            dc = kb * b
+        a  <- integCircuit 100 -< da
+        b  <- integCircuit 0 -< db
+        c  <- integCircuit 0 -< dc
+    returnA -< [a, b, c]
+
+model :: Simulation [Double]
+model =
+  do results <-
+       runTransform (circuitTransform circuit) $
+       return ()
+     runDynamicsInStopTime results
+
+main = runSimulation model specs >>= print
diff --git a/examples/FishBank.hs b/examples/FishBank.hs
--- a/examples/FishBank.hs
+++ b/examples/FishBank.hs
@@ -1,60 +1,60 @@
-
-{-# LANGUAGE RecursiveDo #-}
-
-import Data.Array
-
-import Simulation.Aivika
-import Simulation.Aivika.SystemDynamics
-
-specs = Specs { spcStartTime = 0, 
-                spcStopTime = 13, 
-                spcDT = 0.01,
-                -- spcDT = 0.000005,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
-model :: Simulation Results
-model =
-  mdo let annualProfit = profit
-          area = 100
-          carryingCapacity = 1000
-          catchPerShip = 
-            lookupDynamics density $
-            listArray (1, 11) [(0.0, -0.048), (1.2, 10.875), (2.4, 17.194), 
-                               (3.6, 20.548), (4.8, 22.086), (6.0, 23.344), 
-                               (7.2, 23.903), (8.4, 24.462), (9.6, 24.882), 
-                               (10.8, 25.301), (12.0, 25.86)]
-          deathFraction = 
-            lookupDynamics (fish / carryingCapacity) $
-            listArray (1, 11) [(0.0, 5.161), (0.1, 5.161), (0.2, 5.161), 
-                               (0.3, 5.161), (0.4, 5.161), (0.5, 5.161), 
-                               (0.6, 5.118), (0.7, 5.247), (0.8, 5.849), 
-                               (0.9, 6.151), (10.0, 6.194)]
-          density = fish / area
-      fish <- integ (fishHatchRate - fishDeathRate - totalCatchPerYear) 1000
-      let fishDeathRate = maxDynamics 0 (fish * deathFraction)
-          fishHatchRate = maxDynamics 0 (fish * hatchFraction)
-          fishPrice = 20
-          fractionInvested = 0.2
-          hatchFraction = 6
-          operatingCost = ships * 250
-          profit = revenue - operatingCost
-          revenue = totalCatchPerYear * fishPrice
-      ships <- integ shipBuildingRate 10
-      let shipBuildingRate = maxDynamics 0 (profit * fractionInvested / shipCost)
-          shipCost = 300
-      totalProfit <- integ annualProfit 0
-      let totalCatchPerYear = maxDynamics 0 (ships * catchPerShip)
-      -- results --
-      return $ results
-        [resultSource "fish" "fish" fish,
-         resultSource "annualProfit" "the annual profit" annualProfit,
-         resultSource "totalProfit" "the total profit" totalProfit]
-
-main =
-  flip runSimulation specs $
-  model >>= \results -> do
-    printResultsInStartTime
-      printResultSourceInEnglish results
-    printResultsInStopTime
-      printResultSourceInEnglish results
+
+{-# LANGUAGE RecursiveDo #-}
+
+import Data.Array
+
+import Simulation.Aivika
+import Simulation.Aivika.SystemDynamics
+
+specs = Specs { spcStartTime = 0, 
+                spcStopTime = 13, 
+                spcDT = 0.01,
+                -- spcDT = 0.000005,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+model :: Simulation Results
+model =
+  mdo let annualProfit = profit
+          area = 100
+          carryingCapacity = 1000
+          catchPerShip = 
+            lookupDynamics density $
+            listArray (1, 11) [(0.0, -0.048), (1.2, 10.875), (2.4, 17.194), 
+                               (3.6, 20.548), (4.8, 22.086), (6.0, 23.344), 
+                               (7.2, 23.903), (8.4, 24.462), (9.6, 24.882), 
+                               (10.8, 25.301), (12.0, 25.86)]
+          deathFraction = 
+            lookupDynamics (fish / carryingCapacity) $
+            listArray (1, 11) [(0.0, 5.161), (0.1, 5.161), (0.2, 5.161), 
+                               (0.3, 5.161), (0.4, 5.161), (0.5, 5.161), 
+                               (0.6, 5.118), (0.7, 5.247), (0.8, 5.849), 
+                               (0.9, 6.151), (10.0, 6.194)]
+          density = fish / area
+      fish <- integ (fishHatchRate - fishDeathRate - totalCatchPerYear) 1000
+      let fishDeathRate = maxDynamics 0 (fish * deathFraction)
+          fishHatchRate = maxDynamics 0 (fish * hatchFraction)
+          fishPrice = 20
+          fractionInvested = 0.2
+          hatchFraction = 6
+          operatingCost = ships * 250
+          profit = revenue - operatingCost
+          revenue = totalCatchPerYear * fishPrice
+      ships <- integ shipBuildingRate 10
+      let shipBuildingRate = maxDynamics 0 (profit * fractionInvested / shipCost)
+          shipCost = 300
+      totalProfit <- integ annualProfit 0
+      let totalCatchPerYear = maxDynamics 0 (ships * catchPerShip)
+      -- results --
+      return $ results
+        [resultSource "fish" "fish" fish,
+         resultSource "annualProfit" "the annual profit" annualProfit,
+         resultSource "totalProfit" "the total profit" totalProfit]
+
+main =
+  flip runSimulation specs $
+  model >>= \results -> do
+    printResultsInStartTime
+      printResultSourceInEnglish results
+    printResultsInStopTime
+      printResultSourceInEnglish results
diff --git a/examples/Furnace.hs b/examples/Furnace.hs
--- a/examples/Furnace.hs
+++ b/examples/Furnace.hs
@@ -1,323 +1,323 @@
-
--- This is a model of the Furnace. It is described in different sources [1, 2].
---
--- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
---
--- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
-
-import Data.Maybe
-import System.Random
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-import Simulation.Aivika.Queue.Infinite
-
--- | The simulation specs.
-specs = Specs { spcStartTime = 0.0,
-                -- spcStopTime = 1000.0,
-                spcStopTime = 300.0,
-                spcDT = 0.1,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-        
--- | Return a random initial temperature of the item.     
-randomTemp :: Parameter Double
-randomTemp = randomUniform 400 600
-
--- | Represents the furnace.
-data Furnace = 
-  Furnace { furnacePits :: [Pit],
-            -- ^ The pits for ingots.
-            furnacePitCount :: Ref Int,
-            -- ^ The count of active pits with ingots.
-            furnaceQueue :: FCFSQueue Ingot,
-            -- ^ The furnace queue.
-            furnaceUnloadedSource :: SignalSource (),
-            -- ^ Notifies when the ingots have been
-            -- unloaded from the furnace.
-            furnaceHeatingTime :: Ref (SamplingStats Double),
-            -- ^ The heating time for the ready ingots.
-            furnaceTemp :: Ref Double,
-            -- ^ The furnace temperature.
-            furnaceReadyCount :: Ref Int,
-            -- ^ The count of ready ingots.
-            furnaceReadyTemps :: Ref [Double]
-            -- ^ The temperatures of all ready ingots.
-            }
-
--- | Notifies when the ingots have been unloaded from the furnace.
-furnaceUnloaded :: Furnace -> Signal ()
-furnaceUnloaded = publishSignal . furnaceUnloadedSource
-
--- | A pit in the furnace to place the ingots.
-data Pit = 
-  Pit { pitIngot :: Ref (Maybe Ingot),
-        -- ^ The ingot in the pit.
-        pitTemp :: Ref Double
-        -- ^ The ingot temperature in the pit.
-        }
-
-data Ingot = 
-  Ingot { ingotFurnace :: Furnace,
-          -- ^ The furnace.
-          ingotReceiveTime :: Double,
-          -- ^ The time at which the ingot was received.
-          ingotReceiveTemp :: Double,
-          -- ^ The temperature with which the ingot was received.
-          ingotLoadTime :: Double,
-          -- ^ The time of loading in the furnace.
-          ingotLoadTemp :: Double,
-          -- ^ The temperature when the ingot was loaded in the furnace.
-          ingotCoeff :: Double
-          -- ^ The heating coefficient.
-          }
-
--- | Create a furnace.
-newFurnace :: Simulation Furnace
-newFurnace =
-  do pits <- sequence [newPit | i <- [1..10]]
-     pitCount <- newRef 0
-     queue <- runEventInStartTime newFCFSQueue
-     heatingTime <- newRef emptySamplingStats
-     h <- newRef 1650.0
-     readyCount <- newRef 0
-     readyTemps <- newRef []
-     s <- newSignalSource
-     return Furnace { furnacePits = pits,
-                      furnacePitCount = pitCount,
-                      furnaceQueue = queue,
-                      furnaceUnloadedSource = s,
-                      furnaceHeatingTime = heatingTime,
-                      furnaceTemp = h,
-                      furnaceReadyCount = readyCount, 
-                      furnaceReadyTemps = readyTemps }
-
--- | Create a new pit.
-newPit :: Simulation Pit
-newPit =
-  do ingot <- newRef Nothing
-     h' <- newRef 0.0
-     return Pit { pitIngot = ingot,
-                  pitTemp  = h' }
-
--- | Create a new ingot.
-newIngot :: Furnace -> Event Ingot
-newIngot furnace =
-  do t  <- liftDynamics time
-     xi <- liftParameter $ randomNormal 0.05 0.01
-     h' <- liftParameter randomTemp
-     let c = 0.1 + xi
-     return Ingot { ingotFurnace = furnace,
-                    ingotReceiveTime = t,
-                    ingotReceiveTemp = h',
-                    ingotLoadTime = t,
-                    ingotLoadTemp = h',
-                    ingotCoeff = c }
-
--- | Heat the ingot up in the pit if there is such an ingot.
-heatPitUp :: Pit -> Event ()
-heatPitUp pit =
-  do ingot <- readRef (pitIngot pit)
-     case ingot of
-       Nothing -> 
-         return ()
-       Just ingot -> do
-         
-         -- update the temperature of the ingot.
-         let furnace = ingotFurnace ingot
-         dt' <- liftParameter dt
-         h'  <- readRef (pitTemp pit)
-         h   <- readRef (furnaceTemp furnace)
-         writeRef (pitTemp pit) $ 
-           h' + dt' * (h - h') * ingotCoeff ingot
-
--- | Check whether there are ready ingots in the pits.
-ingotsReady :: Furnace -> Event Bool
-ingotsReady furnace =
-  fmap (not . null) $ 
-  filterM (fmap (>= 2200.0) . readRef . pitTemp) $ 
-  furnacePits furnace
-
--- | Try to unload the ready ingot from the specified pit.
-tryUnloadPit :: Furnace -> Pit -> Event ()
-tryUnloadPit furnace pit =
-  do h' <- readRef (pitTemp pit)
-     when (h' >= 2000.0) $
-       do Just ingot <- readRef (pitIngot pit)  
-          unloadIngot furnace ingot pit
-
--- | Try to load an awaiting ingot in the specified empty pit.
-tryLoadPit :: Furnace -> Pit -> Event ()       
-tryLoadPit furnace pit =
-  do ingot <- tryDequeue (furnaceQueue furnace)
-     case ingot of
-       Nothing ->
-         return ()
-       Just ingot ->
-         do t' <- liftDynamics time
-            loadIngot furnace (ingot { ingotLoadTime = t',
-                                       ingotLoadTemp = 400.0 }) pit
-              
--- | Unload the ingot from the specified pit.       
-unloadIngot :: Furnace -> Ingot -> Pit -> Event ()
-unloadIngot furnace ingot pit = 
-  do h' <- readRef (pitTemp pit)
-     writeRef (pitIngot pit) Nothing
-     writeRef (pitTemp pit) 0.0
-
-     -- count the active pits
-     modifyRef (furnacePitCount furnace) (+ (- 1))
-     
-     -- how long did we heat the ingot up?
-     t' <- liftDynamics time
-     modifyRef (furnaceHeatingTime furnace) $
-       addSamplingStats (t' - ingotLoadTime ingot)
-     
-     -- what is the temperature of the unloaded ingot?
-     modifyRef (furnaceReadyTemps furnace) (h' :)
-     
-     -- count the ready ingots
-     modifyRef (furnaceReadyCount furnace) (+ 1)
-     
--- | Load the ingot in the specified pit
-loadIngot :: Furnace -> Ingot -> Pit -> Event ()
-loadIngot furnace ingot pit =
-  do writeRef (pitIngot pit) $ Just ingot
-     writeRef (pitTemp pit) $ ingotLoadTemp ingot
-
-     -- count the active pits
-     modifyRef (furnacePitCount furnace) (+ 1)
-     count <- readRef (furnacePitCount furnace)
-     
-     -- decrease the furnace temperature
-     h <- readRef (furnaceTemp furnace)
-     let h' = ingotLoadTemp ingot
-         dh = - (h - h') / fromIntegral count
-     writeRef (furnaceTemp furnace) $ h + dh
- 
--- | Start iterating the furnace processing through the event queue.
-startIteratingFurnace :: Furnace -> Event ()
-startIteratingFurnace furnace = 
-  let pits = furnacePits furnace
-  in enqueueEventWithIntegTimes $
-     do -- try to unload ready ingots
-        ready <- ingotsReady furnace
-        when ready $ 
-          do mapM_ (tryUnloadPit furnace) pits
-             triggerSignal (furnaceUnloadedSource furnace) ()
-
-        -- heat up
-        mapM_ heatPitUp pits
-        
-        -- update the temperature of the furnace
-        dt' <- liftParameter dt
-        h   <- readRef (furnaceTemp furnace)
-        writeRef (furnaceTemp furnace) $
-          h + dt' * (2600.0 - h) * 0.2
-
--- | Return all empty pits.
-emptyPits :: Furnace -> Event [Pit]
-emptyPits furnace =
-  filterM (fmap isNothing . readRef . pitIngot) $
-  furnacePits furnace
-
--- | This process takes ingots from the queue and then
--- loads them in the furnace.
-loadingProcess :: Furnace -> Process ()
-loadingProcess furnace =
-  do ingot <- dequeue (furnaceQueue furnace)
-     let wait :: Process ()
-         wait =
-           do count <- liftEvent $ readRef (furnacePitCount furnace)
-              when (count >= 10) $
-                do processAwait (furnaceUnloaded furnace)
-                   wait
-     wait
-     --  take any empty pit and load it
-     liftEvent $
-       do pit: _ <- emptyPits furnace
-          loadIngot furnace ingot pit
-     -- repeat it again
-     loadingProcess furnace
-                  
--- | The input process that adds new ingots to the queue.
-inputProcess :: Furnace -> Process ()
-inputProcess furnace =
-  do delay <- liftParameter $
-              randomExponential 2.5
-     holdProcess delay
-     -- we have got a new ingot
-     liftEvent $
-       do ingot <- newIngot furnace
-          enqueue (furnaceQueue furnace) ingot
-     -- repeat it again
-     inputProcess furnace
-
--- | Initialize the furnace.
-initializeFurnace :: Furnace -> Event ()
-initializeFurnace furnace =
-  do x1 <- newIngot furnace
-     x2 <- newIngot furnace
-     x3 <- newIngot furnace
-     x4 <- newIngot furnace
-     x5 <- newIngot furnace
-     x6 <- newIngot furnace
-     let p1 : p2 : p3 : p4 : p5 : p6 : ps = 
-           furnacePits furnace
-     loadIngot furnace (x1 { ingotLoadTemp = 550.0 }) p1
-     loadIngot furnace (x2 { ingotLoadTemp = 600.0 }) p2
-     loadIngot furnace (x3 { ingotLoadTemp = 650.0 }) p3
-     loadIngot furnace (x4 { ingotLoadTemp = 700.0 }) p4
-     loadIngot furnace (x5 { ingotLoadTemp = 750.0 }) p5
-     loadIngot furnace (x6 { ingotLoadTemp = 800.0 }) p6
-     writeRef (furnaceTemp furnace) 1650.0
-     
--- | The simulation model.
-model :: Simulation Results
-model =
-  do furnace <- newFurnace
-  
-     -- initialize the furnace and start its iterating in start time
-     runEventInStartTime $
-       do initializeFurnace furnace
-          startIteratingFurnace furnace
-     
-     -- generate randomly new input ingots
-     runProcessInStartTime $
-       inputProcess furnace
-
-     -- load permanently the input ingots in the furnace
-     runProcessInStartTime $
-       loadingProcess furnace
-
-     -- return the simulation results
-     return $
-       resultSummary $
-       results
-       [resultSource "inputIngotCount" "the input ingot count" $
-        enqueueStoreCount (furnaceQueue furnace),
-        --
-        resultSource "loadedIngotCount" "the loaded ingot count" $
-        dequeueCount (furnaceQueue furnace),
-        --
-        resultSource "outputIngotCount" "the output ingot count" $
-        furnaceReadyCount furnace,
-        --
-        resultSource "outputIngotTemp" "the output ingot temperature" $
-        fmap listSamplingStats $ readRef $ furnaceReadyTemps furnace,
-        --
-        resultSource "heatingTime" "the heating time" $
-        furnaceHeatingTime furnace,
-        --
-        resultSource "pitCount" "the number of ingots in pits" $
-        furnacePitCount furnace,
-        --
-        resultSource "furnaceQueue" "the furnace queue" $
-        furnaceQueue furnace]
-
--- | The main program.
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- This is a model of the Furnace. It is described in different sources [1, 2].
+--
+-- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
+--
+-- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
+
+import Data.Maybe
+import System.Random
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+import Simulation.Aivika.Queue.Infinite
+
+-- | The simulation specs.
+specs = Specs { spcStartTime = 0.0,
+                -- spcStopTime = 1000.0,
+                spcStopTime = 300.0,
+                spcDT = 0.1,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+        
+-- | Return a random initial temperature of the item.     
+randomTemp :: Parameter Double
+randomTemp = randomUniform 400 600
+
+-- | Represents the furnace.
+data Furnace = 
+  Furnace { furnacePits :: [Pit],
+            -- ^ The pits for ingots.
+            furnacePitCount :: Ref Int,
+            -- ^ The count of active pits with ingots.
+            furnaceQueue :: FCFSQueue Ingot,
+            -- ^ The furnace queue.
+            furnaceUnloadedSource :: SignalSource (),
+            -- ^ Notifies when the ingots have been
+            -- unloaded from the furnace.
+            furnaceHeatingTime :: Ref (SamplingStats Double),
+            -- ^ The heating time for the ready ingots.
+            furnaceTemp :: Ref Double,
+            -- ^ The furnace temperature.
+            furnaceReadyCount :: Ref Int,
+            -- ^ The count of ready ingots.
+            furnaceReadyTemps :: Ref [Double]
+            -- ^ The temperatures of all ready ingots.
+            }
+
+-- | Notifies when the ingots have been unloaded from the furnace.
+furnaceUnloaded :: Furnace -> Signal ()
+furnaceUnloaded = publishSignal . furnaceUnloadedSource
+
+-- | A pit in the furnace to place the ingots.
+data Pit = 
+  Pit { pitIngot :: Ref (Maybe Ingot),
+        -- ^ The ingot in the pit.
+        pitTemp :: Ref Double
+        -- ^ The ingot temperature in the pit.
+        }
+
+data Ingot = 
+  Ingot { ingotFurnace :: Furnace,
+          -- ^ The furnace.
+          ingotReceiveTime :: Double,
+          -- ^ The time at which the ingot was received.
+          ingotReceiveTemp :: Double,
+          -- ^ The temperature with which the ingot was received.
+          ingotLoadTime :: Double,
+          -- ^ The time of loading in the furnace.
+          ingotLoadTemp :: Double,
+          -- ^ The temperature when the ingot was loaded in the furnace.
+          ingotCoeff :: Double
+          -- ^ The heating coefficient.
+          }
+
+-- | Create a furnace.
+newFurnace :: Simulation Furnace
+newFurnace =
+  do pits <- sequence [newPit | i <- [1..10]]
+     pitCount <- newRef 0
+     queue <- runEventInStartTime newFCFSQueue
+     heatingTime <- newRef emptySamplingStats
+     h <- newRef 1650.0
+     readyCount <- newRef 0
+     readyTemps <- newRef []
+     s <- newSignalSource
+     return Furnace { furnacePits = pits,
+                      furnacePitCount = pitCount,
+                      furnaceQueue = queue,
+                      furnaceUnloadedSource = s,
+                      furnaceHeatingTime = heatingTime,
+                      furnaceTemp = h,
+                      furnaceReadyCount = readyCount, 
+                      furnaceReadyTemps = readyTemps }
+
+-- | Create a new pit.
+newPit :: Simulation Pit
+newPit =
+  do ingot <- newRef Nothing
+     h' <- newRef 0.0
+     return Pit { pitIngot = ingot,
+                  pitTemp  = h' }
+
+-- | Create a new ingot.
+newIngot :: Furnace -> Event Ingot
+newIngot furnace =
+  do t  <- liftDynamics time
+     xi <- liftParameter $ randomNormal 0.05 0.01
+     h' <- liftParameter randomTemp
+     let c = 0.1 + xi
+     return Ingot { ingotFurnace = furnace,
+                    ingotReceiveTime = t,
+                    ingotReceiveTemp = h',
+                    ingotLoadTime = t,
+                    ingotLoadTemp = h',
+                    ingotCoeff = c }
+
+-- | Heat the ingot up in the pit if there is such an ingot.
+heatPitUp :: Pit -> Event ()
+heatPitUp pit =
+  do ingot <- readRef (pitIngot pit)
+     case ingot of
+       Nothing -> 
+         return ()
+       Just ingot -> do
+         
+         -- update the temperature of the ingot.
+         let furnace = ingotFurnace ingot
+         dt' <- liftParameter dt
+         h'  <- readRef (pitTemp pit)
+         h   <- readRef (furnaceTemp furnace)
+         writeRef (pitTemp pit) $ 
+           h' + dt' * (h - h') * ingotCoeff ingot
+
+-- | Check whether there are ready ingots in the pits.
+ingotsReady :: Furnace -> Event Bool
+ingotsReady furnace =
+  fmap (not . null) $ 
+  filterM (fmap (>= 2200.0) . readRef . pitTemp) $ 
+  furnacePits furnace
+
+-- | Try to unload the ready ingot from the specified pit.
+tryUnloadPit :: Furnace -> Pit -> Event ()
+tryUnloadPit furnace pit =
+  do h' <- readRef (pitTemp pit)
+     when (h' >= 2000.0) $
+       do Just ingot <- readRef (pitIngot pit)  
+          unloadIngot furnace ingot pit
+
+-- | Try to load an awaiting ingot in the specified empty pit.
+tryLoadPit :: Furnace -> Pit -> Event ()       
+tryLoadPit furnace pit =
+  do ingot <- tryDequeue (furnaceQueue furnace)
+     case ingot of
+       Nothing ->
+         return ()
+       Just ingot ->
+         do t' <- liftDynamics time
+            loadIngot furnace (ingot { ingotLoadTime = t',
+                                       ingotLoadTemp = 400.0 }) pit
+              
+-- | Unload the ingot from the specified pit.       
+unloadIngot :: Furnace -> Ingot -> Pit -> Event ()
+unloadIngot furnace ingot pit = 
+  do h' <- readRef (pitTemp pit)
+     writeRef (pitIngot pit) Nothing
+     writeRef (pitTemp pit) 0.0
+
+     -- count the active pits
+     modifyRef (furnacePitCount furnace) (+ (- 1))
+     
+     -- how long did we heat the ingot up?
+     t' <- liftDynamics time
+     modifyRef (furnaceHeatingTime furnace) $
+       addSamplingStats (t' - ingotLoadTime ingot)
+     
+     -- what is the temperature of the unloaded ingot?
+     modifyRef (furnaceReadyTemps furnace) (h' :)
+     
+     -- count the ready ingots
+     modifyRef (furnaceReadyCount furnace) (+ 1)
+     
+-- | Load the ingot in the specified pit
+loadIngot :: Furnace -> Ingot -> Pit -> Event ()
+loadIngot furnace ingot pit =
+  do writeRef (pitIngot pit) $ Just ingot
+     writeRef (pitTemp pit) $ ingotLoadTemp ingot
+
+     -- count the active pits
+     modifyRef (furnacePitCount furnace) (+ 1)
+     count <- readRef (furnacePitCount furnace)
+     
+     -- decrease the furnace temperature
+     h <- readRef (furnaceTemp furnace)
+     let h' = ingotLoadTemp ingot
+         dh = - (h - h') / fromIntegral count
+     writeRef (furnaceTemp furnace) $ h + dh
+ 
+-- | Start iterating the furnace processing through the event queue.
+startIteratingFurnace :: Furnace -> Event ()
+startIteratingFurnace furnace = 
+  let pits = furnacePits furnace
+  in enqueueEventWithIntegTimes $
+     do -- try to unload ready ingots
+        ready <- ingotsReady furnace
+        when ready $ 
+          do mapM_ (tryUnloadPit furnace) pits
+             triggerSignal (furnaceUnloadedSource furnace) ()
+
+        -- heat up
+        mapM_ heatPitUp pits
+        
+        -- update the temperature of the furnace
+        dt' <- liftParameter dt
+        h   <- readRef (furnaceTemp furnace)
+        writeRef (furnaceTemp furnace) $
+          h + dt' * (2600.0 - h) * 0.2
+
+-- | Return all empty pits.
+emptyPits :: Furnace -> Event [Pit]
+emptyPits furnace =
+  filterM (fmap isNothing . readRef . pitIngot) $
+  furnacePits furnace
+
+-- | This process takes ingots from the queue and then
+-- loads them in the furnace.
+loadingProcess :: Furnace -> Process ()
+loadingProcess furnace =
+  do ingot <- dequeue (furnaceQueue furnace)
+     let wait :: Process ()
+         wait =
+           do count <- liftEvent $ readRef (furnacePitCount furnace)
+              when (count >= 10) $
+                do processAwait (furnaceUnloaded furnace)
+                   wait
+     wait
+     --  take any empty pit and load it
+     liftEvent $
+       do pit: _ <- emptyPits furnace
+          loadIngot furnace ingot pit
+     -- repeat it again
+     loadingProcess furnace
+                  
+-- | The input process that adds new ingots to the queue.
+inputProcess :: Furnace -> Process ()
+inputProcess furnace =
+  do delay <- liftParameter $
+              randomExponential 2.5
+     holdProcess delay
+     -- we have got a new ingot
+     liftEvent $
+       do ingot <- newIngot furnace
+          enqueue (furnaceQueue furnace) ingot
+     -- repeat it again
+     inputProcess furnace
+
+-- | Initialize the furnace.
+initializeFurnace :: Furnace -> Event ()
+initializeFurnace furnace =
+  do x1 <- newIngot furnace
+     x2 <- newIngot furnace
+     x3 <- newIngot furnace
+     x4 <- newIngot furnace
+     x5 <- newIngot furnace
+     x6 <- newIngot furnace
+     let p1 : p2 : p3 : p4 : p5 : p6 : ps = 
+           furnacePits furnace
+     loadIngot furnace (x1 { ingotLoadTemp = 550.0 }) p1
+     loadIngot furnace (x2 { ingotLoadTemp = 600.0 }) p2
+     loadIngot furnace (x3 { ingotLoadTemp = 650.0 }) p3
+     loadIngot furnace (x4 { ingotLoadTemp = 700.0 }) p4
+     loadIngot furnace (x5 { ingotLoadTemp = 750.0 }) p5
+     loadIngot furnace (x6 { ingotLoadTemp = 800.0 }) p6
+     writeRef (furnaceTemp furnace) 1650.0
+     
+-- | The simulation model.
+model :: Simulation Results
+model =
+  do furnace <- newFurnace
+  
+     -- initialize the furnace and start its iterating in start time
+     runEventInStartTime $
+       do initializeFurnace furnace
+          startIteratingFurnace furnace
+     
+     -- generate randomly new input ingots
+     runProcessInStartTime $
+       inputProcess furnace
+
+     -- load permanently the input ingots in the furnace
+     runProcessInStartTime $
+       loadingProcess furnace
+
+     -- return the simulation results
+     return $
+       resultSummary $
+       results
+       [resultSource "inputIngotCount" "the input ingot count" $
+        enqueueStoreCount (furnaceQueue furnace),
+        --
+        resultSource "loadedIngotCount" "the loaded ingot count" $
+        dequeueCount (furnaceQueue furnace),
+        --
+        resultSource "outputIngotCount" "the output ingot count" $
+        furnaceReadyCount furnace,
+        --
+        resultSource "outputIngotTemp" "the output ingot temperature" $
+        fmap listSamplingStats $ readRef $ furnaceReadyTemps furnace,
+        --
+        resultSource "heatingTime" "the heating time" $
+        furnaceHeatingTime furnace,
+        --
+        resultSource "pitCount" "the number of ingots in pits" $
+        furnacePitCount furnace,
+        --
+        resultSource "furnaceQueue" "the furnace queue" $
+        furnaceQueue furnace]
+
+-- | The main program.
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/InspectionAdjustmentStations.hs b/examples/InspectionAdjustmentStations.hs
--- a/examples/InspectionAdjustmentStations.hs
+++ b/examples/InspectionAdjustmentStations.hs
@@ -1,161 +1,161 @@
-
-{-# LANGUAGE RecursiveDo, Arrows #-}
-
--- Example: Inspection and Adjustment Stations on a Production Line
--- 
--- This is a model of the workflow with a loop. Also there are two infinite queues.
---
--- It is described in different sources [1, 2]. So, this is chapter 8 of [2] and section 5.15 of [1].
---
--- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
---
--- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
-
-import Prelude hiding (id, (.)) 
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Arrow
-import Control.Category (id, (.))
-
-import Simulation.Aivika
-import Simulation.Aivika.Queue.Infinite
-
--- | The simulation specs.
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 480.0,
-                spcDT = 0.1,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
--- the minimum delay of arriving the next TV set
-minArrivalDelay = 3.5
-
--- the maximum delay of arriving the next TV set
-maxArrivalDelay = 7.5
-
--- the minimum time to inspect the TV set
-minInspectionTime = 6
-
--- the maximum time to inspect the TV set
-maxInspectionTime = 12
-
--- the probability of passing the inspection phase
-inspectionPassingProb = 0.85
-
--- how many are inspection stations?
-inspectionStationCount = 2
-
--- the minimum time to adjust an improper TV set
-minAdjustmentTime = 20
-
--- the maximum time to adjust an improper TV set
-maxAdjustmentTime = 40
-
--- how many are adjustment stations?
-adjustmentStationCount = 1
-
--- create an inspection station (server)
-newInspectionStation =
-  newServer $ \a ->
-  do holdProcess =<<
-       (liftParameter $
-        randomUniform minInspectionTime maxInspectionTime)
-     passed <- 
-       liftParameter $
-       randomTrue inspectionPassingProb
-     if passed
-       then return $ Right a
-       else return $ Left a 
-
--- create an adjustment station (server)
-newAdjustmentStation =
-  newServer $ \a ->
-  do holdProcess =<<
-       (liftParameter $
-        randomUniform minAdjustmentTime maxAdjustmentTime)
-     return a
-  
-model :: Simulation Results
-model = mdo
-  -- to count the arrived TV sets for inspecting and adjusting
-  inputArrivalTimer <- newArrivalTimer
-  -- it will gather the statistics of the processing time
-  outputArrivalTimer <- newArrivalTimer
-  -- define a stream of input events
-  let inputStream =
-        randomUniformStream minArrivalDelay maxArrivalDelay 
-  -- create a queue before the inspection stations
-  inspectionQueue <-
-    runEventInStartTime newFCFSQueue
-  -- create a queue before the adjustment stations
-  adjustmentQueue <-
-    runEventInStartTime newFCFSQueue
-  -- create the inspection stations (servers)
-  inspectionStations <-
-    forM [1 .. inspectionStationCount] $ \_ ->
-    newInspectionStation
-  -- create the adjustment stations (servers)
-  adjustmentStations <-
-    forM [1 .. adjustmentStationCount] $ \_ ->
-    newAdjustmentStation
-  -- a processor loop for the inspection stations' queue
-  let inspectionQueueProcessorLoop =
-        queueProcessorLoopSeq
-        (liftEvent . enqueue inspectionQueue)
-        (dequeue inspectionQueue)
-        inspectionProcessor
-        (adjustmentQueueProcessor >>> adjustmentProcessor)
-  -- a processor for the adjustment stations' queue
-  let adjustmentQueueProcessor =
-        queueProcessor
-        (liftEvent . enqueue adjustmentQueue)
-        (dequeue adjustmentQueue)
-  -- a parallel work of the inspection stations
-  let inspectionProcessor =
-        processorParallel (map serverProcessor inspectionStations)
-  -- a parallel work of the adjustment stations
-  let adjustmentProcessor =
-        processorParallel (map serverProcessor adjustmentStations)
-  -- the entire processor from input to output
-  let entireProcessor =
-        arrivalTimerProcessor inputArrivalTimer >>>
-        inspectionQueueProcessorLoop >>>
-        arrivalTimerProcessor outputArrivalTimer
-  -- start simulating the model
-  runProcessInStartTime $
-    sinkStream $ runProcessor entireProcessor inputStream
-  -- return the simulation results in start time
-  return $
-    results
-    [resultSource
-     "inspectionQueue" "the inspection queue"
-     inspectionQueue,
-     --
-     resultSource
-     "adjustmentQueue" "the adjustment queue"
-     adjustmentQueue,
-     --
-     resultSource
-     "inputArrivalTimer" "the input arrival timer"
-     inputArrivalTimer,
-     --
-     resultSource
-     "outputArrivalTimer" "the output arrival timer"
-     outputArrivalTimer,
-     --
-     resultSource
-     "inspectionStations" "the inspection stations"
-     inspectionStations,
-     --
-     resultSource
-     "adjustmentStations" "the adjustment stations"
-     adjustmentStations]
-
-modelSummary :: Simulation Results
-modelSummary = fmap resultSummary model
-
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  modelSummary specs
+
+{-# LANGUAGE RecursiveDo, Arrows #-}
+
+-- Example: Inspection and Adjustment Stations on a Production Line
+-- 
+-- This is a model of the workflow with a loop. Also there are two infinite queues.
+--
+-- It is described in different sources [1, 2]. So, this is chapter 8 of [2] and section 5.15 of [1].
+--
+-- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
+--
+-- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
+
+import Prelude hiding (id, (.)) 
+
+import Control.Monad
+import Control.Monad.Trans
+import Control.Arrow
+import Control.Category (id, (.))
+
+import Simulation.Aivika
+import Simulation.Aivika.Queue.Infinite
+
+-- | The simulation specs.
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 480.0,
+                spcDT = 0.1,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+-- the minimum delay of arriving the next TV set
+minArrivalDelay = 3.5
+
+-- the maximum delay of arriving the next TV set
+maxArrivalDelay = 7.5
+
+-- the minimum time to inspect the TV set
+minInspectionTime = 6
+
+-- the maximum time to inspect the TV set
+maxInspectionTime = 12
+
+-- the probability of passing the inspection phase
+inspectionPassingProb = 0.85
+
+-- how many are inspection stations?
+inspectionStationCount = 2
+
+-- the minimum time to adjust an improper TV set
+minAdjustmentTime = 20
+
+-- the maximum time to adjust an improper TV set
+maxAdjustmentTime = 40
+
+-- how many are adjustment stations?
+adjustmentStationCount = 1
+
+-- create an inspection station (server)
+newInspectionStation =
+  newServer $ \a ->
+  do holdProcess =<<
+       (liftParameter $
+        randomUniform minInspectionTime maxInspectionTime)
+     passed <- 
+       liftParameter $
+       randomTrue inspectionPassingProb
+     if passed
+       then return $ Right a
+       else return $ Left a 
+
+-- create an adjustment station (server)
+newAdjustmentStation =
+  newServer $ \a ->
+  do holdProcess =<<
+       (liftParameter $
+        randomUniform minAdjustmentTime maxAdjustmentTime)
+     return a
+  
+model :: Simulation Results
+model = mdo
+  -- to count the arrived TV sets for inspecting and adjusting
+  inputArrivalTimer <- newArrivalTimer
+  -- it will gather the statistics of the processing time
+  outputArrivalTimer <- newArrivalTimer
+  -- define a stream of input events
+  let inputStream =
+        randomUniformStream minArrivalDelay maxArrivalDelay 
+  -- create a queue before the inspection stations
+  inspectionQueue <-
+    runEventInStartTime newFCFSQueue
+  -- create a queue before the adjustment stations
+  adjustmentQueue <-
+    runEventInStartTime newFCFSQueue
+  -- create the inspection stations (servers)
+  inspectionStations <-
+    forM [1 .. inspectionStationCount] $ \_ ->
+    newInspectionStation
+  -- create the adjustment stations (servers)
+  adjustmentStations <-
+    forM [1 .. adjustmentStationCount] $ \_ ->
+    newAdjustmentStation
+  -- a processor loop for the inspection stations' queue
+  let inspectionQueueProcessorLoop =
+        queueProcessorLoopSeq
+        (liftEvent . enqueue inspectionQueue)
+        (dequeue inspectionQueue)
+        inspectionProcessor
+        (adjustmentQueueProcessor >>> adjustmentProcessor)
+  -- a processor for the adjustment stations' queue
+  let adjustmentQueueProcessor =
+        queueProcessor
+        (liftEvent . enqueue adjustmentQueue)
+        (dequeue adjustmentQueue)
+  -- a parallel work of the inspection stations
+  let inspectionProcessor =
+        processorParallel (map serverProcessor inspectionStations)
+  -- a parallel work of the adjustment stations
+  let adjustmentProcessor =
+        processorParallel (map serverProcessor adjustmentStations)
+  -- the entire processor from input to output
+  let entireProcessor =
+        arrivalTimerProcessor inputArrivalTimer >>>
+        inspectionQueueProcessorLoop >>>
+        arrivalTimerProcessor outputArrivalTimer
+  -- start simulating the model
+  runProcessInStartTime $
+    sinkStream $ runProcessor entireProcessor inputStream
+  -- return the simulation results in start time
+  return $
+    results
+    [resultSource
+     "inspectionQueue" "the inspection queue"
+     inspectionQueue,
+     --
+     resultSource
+     "adjustmentQueue" "the adjustment queue"
+     adjustmentQueue,
+     --
+     resultSource
+     "inputArrivalTimer" "the input arrival timer"
+     inputArrivalTimer,
+     --
+     resultSource
+     "outputArrivalTimer" "the output arrival timer"
+     outputArrivalTimer,
+     --
+     resultSource
+     "inspectionStations" "the inspection stations"
+     inspectionStations,
+     --
+     resultSource
+     "adjustmentStations" "the adjustment stations"
+     adjustmentStations]
+
+modelSummary :: Simulation Results
+modelSummary = fmap resultSummary model
+
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  modelSummary specs
diff --git a/examples/MachRep1.hs b/examples/MachRep1.hs
--- a/examples/MachRep1.hs
+++ b/examples/MachRep1.hs
@@ -1,67 +1,67 @@
-
--- It corresponds to model MachRep1 described in document 
--- Introduction to Discrete-Event Simulation and the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Two machines, which sometimes break down.
--- Up time is exponentially distributed with mean 1.0, and repair time is
--- exponentially distributed with mean 0.5. There are two repairpersons,
--- so the two machines can be repaired simultaneously if they are down
--- at the same time.
---
--- Output is long-run proportion of up time. Should get value of about
--- 0.66.
-
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-meanUpTime = 1.0
-meanRepairTime = 0.5
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 1000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-        
-model :: Simulation Results
-model =
-  do totalUpTime <- newRef 0.0
-     
-     let machine :: Process ()
-         machine =
-           do upTime <-
-                liftParameter $
-                randomExponential meanUpTime
-              holdProcess upTime
-              liftEvent $ 
-                modifyRef totalUpTime (+ upTime)
-              repairTime <-
-                liftParameter $
-                randomExponential meanRepairTime
-              holdProcess repairTime
-              machine
-
-     runProcessInStartTime machine
-     runProcessInStartTime machine
-
-     let upTimeProp =
-           do x <- readRef totalUpTime
-              y <- liftDynamics time
-              return $ x / (2 * y)
-
-     return $
-       results
-       [resultSource
-        "upTimeProp"
-        "The long-run proportion of up time (~ 0.66)"
-        upTimeProp]
-  
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- It corresponds to model MachRep1 described in document 
+-- Introduction to Discrete-Event Simulation and the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Two machines, which sometimes break down.
+-- Up time is exponentially distributed with mean 1.0, and repair time is
+-- exponentially distributed with mean 0.5. There are two repairpersons,
+-- so the two machines can be repaired simultaneously if they are down
+-- at the same time.
+--
+-- Output is long-run proportion of up time. Should get value of about
+-- 0.66.
+
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+meanUpTime = 1.0
+meanRepairTime = 0.5
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 1000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+        
+model :: Simulation Results
+model =
+  do totalUpTime <- newRef 0.0
+     
+     let machine :: Process ()
+         machine =
+           do upTime <-
+                liftParameter $
+                randomExponential meanUpTime
+              holdProcess upTime
+              liftEvent $ 
+                modifyRef totalUpTime (+ upTime)
+              repairTime <-
+                liftParameter $
+                randomExponential meanRepairTime
+              holdProcess repairTime
+              machine
+
+     runProcessInStartTime machine
+     runProcessInStartTime machine
+
+     let upTimeProp =
+           do x <- readRef totalUpTime
+              y <- liftDynamics time
+              return $ x / (2 * y)
+
+     return $
+       results
+       [resultSource
+        "upTimeProp"
+        "The long-run proportion of up time (~ 0.66)"
+        upTimeProp]
+  
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/MachRep1EventDriven.hs b/examples/MachRep1EventDriven.hs
--- a/examples/MachRep1EventDriven.hs
+++ b/examples/MachRep1EventDriven.hs
@@ -1,81 +1,81 @@
-
--- It corresponds to model MachRep1 described in document 
--- Introduction to Discrete-Event Simulation and the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Two machines, which sometimes break down.
--- Up time is exponentially distributed with mean 1.0, and repair time is
--- exponentially distributed with mean 0.5. There are two repairpersons,
--- so the two machines can be repaired simultaneously if they are down
--- at the same time.
---
--- Output is long-run proportion of up time. Should get value of about
--- 0.66.
-
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-meanUpTime = 1.0
-meanRepairTime = 0.5
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 1000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-        
-model :: Simulation Results
-model =
-  do totalUpTime <- newRef 0.0
-     
-     let machineBroken :: Double -> Event ()
-         machineBroken startUpTime =
-           
-           do finishUpTime <- liftDynamics time
-              modifyRef totalUpTime (+ (finishUpTime - startUpTime))
-              repairTime <-
-                liftParameter $
-                randomExponential meanRepairTime
-              
-              -- enqueue a new event
-              let t = finishUpTime + repairTime
-              enqueueEvent t machineRepaired
-              
-         machineRepaired :: Event ()
-         machineRepaired =
-           
-           do startUpTime <- liftDynamics time
-              upTime <-
-                liftParameter $
-                randomExponential meanUpTime
-              
-              -- enqueue a new event
-              let t = startUpTime + upTime
-              enqueueEvent t $ machineBroken startUpTime
-
-     runEventInStartTime $
-       do -- start the first machine
-          machineRepaired
-          -- start the second machine
-          machineRepaired
-
-     let upTimeProp =
-           do x <- readRef totalUpTime
-              y <- liftDynamics time
-              return $ x / (2 * y)
-
-     return $
-       results
-       [resultSource
-        "upTimeProp"
-        "The long-run proportion of up time (~ 0.66)"
-        upTimeProp]
-  
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- It corresponds to model MachRep1 described in document 
+-- Introduction to Discrete-Event Simulation and the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Two machines, which sometimes break down.
+-- Up time is exponentially distributed with mean 1.0, and repair time is
+-- exponentially distributed with mean 0.5. There are two repairpersons,
+-- so the two machines can be repaired simultaneously if they are down
+-- at the same time.
+--
+-- Output is long-run proportion of up time. Should get value of about
+-- 0.66.
+
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+meanUpTime = 1.0
+meanRepairTime = 0.5
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 1000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+        
+model :: Simulation Results
+model =
+  do totalUpTime <- newRef 0.0
+     
+     let machineBroken :: Double -> Event ()
+         machineBroken startUpTime =
+           
+           do finishUpTime <- liftDynamics time
+              modifyRef totalUpTime (+ (finishUpTime - startUpTime))
+              repairTime <-
+                liftParameter $
+                randomExponential meanRepairTime
+              
+              -- enqueue a new event
+              let t = finishUpTime + repairTime
+              enqueueEvent t machineRepaired
+              
+         machineRepaired :: Event ()
+         machineRepaired =
+           
+           do startUpTime <- liftDynamics time
+              upTime <-
+                liftParameter $
+                randomExponential meanUpTime
+              
+              -- enqueue a new event
+              let t = startUpTime + upTime
+              enqueueEvent t $ machineBroken startUpTime
+
+     runEventInStartTime $
+       do -- start the first machine
+          machineRepaired
+          -- start the second machine
+          machineRepaired
+
+     let upTimeProp =
+           do x <- readRef totalUpTime
+              y <- liftDynamics time
+              return $ x / (2 * y)
+
+     return $
+       results
+       [resultSource
+        "upTimeProp"
+        "The long-run proportion of up time (~ 0.66)"
+        upTimeProp]
+  
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/MachRep1TimeDriven.hs b/examples/MachRep1TimeDriven.hs
--- a/examples/MachRep1TimeDriven.hs
+++ b/examples/MachRep1TimeDriven.hs
@@ -1,118 +1,118 @@
-
--- It corresponds to model MachRep1 described in document 
--- Introduction to Discrete-Event Simulation and the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Two machines, which sometimes break down.
--- Up time is exponentially distributed with mean 1.0, and repair time is
--- exponentially distributed with mean 0.5. There are two repairpersons,
--- so the two machines can be repaired simultaneously if they are down
--- at the same time.
---
--- Output is long-run proportion of up time. Should get value of about
--- 0.66.
-
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-meanUpTime = 1.0
-meanRepairTime = 0.5
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 1000.0,
-                spcDT = 0.05,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-        
-model :: Simulation Results
-model =
-  do totalUpTime <- newRef 0.0
-     
-     let machine :: Simulation (Event ())
-         machine =
-           do startUpTime <- newRef 0.0 
-             
-              -- a number of iterations when 
-              -- the machine works
-              upNum <- newRef (-1)
-              
-              -- a number of iterations when 
-              -- the machine is broken
-              repairNum <- newRef (-1)
-              
-              -- create a simulation model
-              return $
-                do upNum' <- readRef upNum
-                   repairNum' <- readRef repairNum
-                   
-                   let untilBroken = 
-                         modifyRef upNum $ \a -> a - 1
-                                                  
-                       untilRepaired =
-                         modifyRef repairNum $ \a -> a - 1
-                                                      
-                       broken =
-                         do writeRef upNum (-1)
-                            -- the machine is broken
-                            startUpTime' <- readRef startUpTime
-                            finishUpTime' <- liftDynamics time
-                            dt' <- liftParameter dt
-                            modifyRef totalUpTime $ 
-                              \a -> a +
-                              (finishUpTime' - startUpTime')
-                            repairTime' <-
-                              liftParameter $
-                              randomExponential meanRepairTime
-                            writeRef repairNum $
-                              round (repairTime' / dt')
-                              
-                       repaired =
-                         do writeRef repairNum (-1)
-                            -- the machine is repaired
-                            t'  <- liftDynamics time
-                            dt' <- liftParameter dt
-                            writeRef startUpTime t'
-                            upTime' <-
-                              liftParameter $
-                              randomExponential meanUpTime
-                            writeRef upNum $
-                              round (upTime' / dt')
-                              
-                       result | upNum' > 0      = untilBroken
-                              | upNum' == 0     = broken
-                              | repairNum' > 0  = untilRepaired
-                              | repairNum' == 0 = repaired
-                              | otherwise       = repaired 
-                   result
-                            
-     -- create two machines with type Event ()
-     m1 <- machine
-     m2 <- machine
-
-     -- start the time-driven simulation of the machines
-     runEventInStartTime $
-       -- in the integration time points
-       enqueueEventWithIntegTimes $
-       do m1
-          m2
-
-     let upTimeProp =
-           do x <- readRef totalUpTime
-              y <- liftDynamics time
-              return $ x / (2 * y)
-
-     return $
-       results
-       [resultSource
-        "upTimeProp"
-        "The long-run proportion of up time (~ 0.66)"
-        upTimeProp]
-  
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- It corresponds to model MachRep1 described in document 
+-- Introduction to Discrete-Event Simulation and the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Two machines, which sometimes break down.
+-- Up time is exponentially distributed with mean 1.0, and repair time is
+-- exponentially distributed with mean 0.5. There are two repairpersons,
+-- so the two machines can be repaired simultaneously if they are down
+-- at the same time.
+--
+-- Output is long-run proportion of up time. Should get value of about
+-- 0.66.
+
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+meanUpTime = 1.0
+meanRepairTime = 0.5
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 1000.0,
+                spcDT = 0.05,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+        
+model :: Simulation Results
+model =
+  do totalUpTime <- newRef 0.0
+     
+     let machine :: Simulation (Event ())
+         machine =
+           do startUpTime <- newRef 0.0 
+             
+              -- a number of iterations when 
+              -- the machine works
+              upNum <- newRef (-1)
+              
+              -- a number of iterations when 
+              -- the machine is broken
+              repairNum <- newRef (-1)
+              
+              -- create a simulation model
+              return $
+                do upNum' <- readRef upNum
+                   repairNum' <- readRef repairNum
+                   
+                   let untilBroken = 
+                         modifyRef upNum $ \a -> a - 1
+                                                  
+                       untilRepaired =
+                         modifyRef repairNum $ \a -> a - 1
+                                                      
+                       broken =
+                         do writeRef upNum (-1)
+                            -- the machine is broken
+                            startUpTime' <- readRef startUpTime
+                            finishUpTime' <- liftDynamics time
+                            dt' <- liftParameter dt
+                            modifyRef totalUpTime $ 
+                              \a -> a +
+                              (finishUpTime' - startUpTime')
+                            repairTime' <-
+                              liftParameter $
+                              randomExponential meanRepairTime
+                            writeRef repairNum $
+                              round (repairTime' / dt')
+                              
+                       repaired =
+                         do writeRef repairNum (-1)
+                            -- the machine is repaired
+                            t'  <- liftDynamics time
+                            dt' <- liftParameter dt
+                            writeRef startUpTime t'
+                            upTime' <-
+                              liftParameter $
+                              randomExponential meanUpTime
+                            writeRef upNum $
+                              round (upTime' / dt')
+                              
+                       result | upNum' > 0      = untilBroken
+                              | upNum' == 0     = broken
+                              | repairNum' > 0  = untilRepaired
+                              | repairNum' == 0 = repaired
+                              | otherwise       = repaired 
+                   result
+                            
+     -- create two machines with type Event ()
+     m1 <- machine
+     m2 <- machine
+
+     -- start the time-driven simulation of the machines
+     runEventInStartTime $
+       -- in the integration time points
+       enqueueEventWithIntegTimes $
+       do m1
+          m2
+
+     let upTimeProp =
+           do x <- readRef totalUpTime
+              y <- liftDynamics time
+              return $ x / (2 * y)
+
+     return $
+       results
+       [resultSource
+        "upTimeProp"
+        "The long-run proportion of up time (~ 0.66)"
+        upTimeProp]
+  
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/MachRep2.hs b/examples/MachRep2.hs
--- a/examples/MachRep2.hs
+++ b/examples/MachRep2.hs
@@ -1,104 +1,104 @@
-
--- It corresponds to model MachRep2 described in document 
--- Introduction to Discrete-Event Simulation and the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---   
--- Two machines, but sometimes break down. Up time is exponentially 
--- distributed with mean 1.0, and repair time is exponentially distributed 
--- with mean 0.5. In this example, there is only one repairperson, so 
--- the two machines cannot be repaired simultaneously if they are down 
--- at the same time.
---
--- In addition to finding the long-run proportion of up time as in
--- model MachRep1, let’s also find the long-run proportion of the time 
--- that a given machine does not have immediate access to the repairperson 
--- when the machine breaks down. Output values should be about 0.6 and 0.67. 
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-meanUpTime = 1.0
-meanRepairTime = 0.5
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 1000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-     
-model :: Simulation Results
-model =
-  do -- number of times the machines have broken down
-     nRep <- newRef 0 
-     
-     -- number of breakdowns in which the machine 
-     -- started repair service right away
-     nImmedRep <- newRef 0
-     
-     -- total up time for all machines
-     totalUpTime <- newRef 0.0
-     
-     repairPerson <- newFCFSResource 1
-     
-     let machine :: Process ()
-         machine =
-           do upTime <-
-                liftParameter $
-                randomExponential meanUpTime
-              holdProcess upTime
-              liftEvent $
-                modifyRef totalUpTime (+ upTime) 
-              
-              -- check the resource availability
-              liftEvent $
-                do modifyRef nRep (+ 1)
-                   n <- resourceCount repairPerson
-                   when (n == 1) $
-                     modifyRef nImmedRep (+ 1)
-                
-              requestResource repairPerson
-              repairTime <-
-                liftParameter $
-                randomExponential meanRepairTime
-              holdProcess repairTime
-              releaseResource repairPerson
-              
-              machine
-
-     runProcessInStartTime machine
-     runProcessInStartTime machine
-
-     let upTimeProp =
-           do x <- readRef totalUpTime
-              y <- liftDynamics time
-              return $ x / (2 * y)
-
-         immedProp :: Event Double
-         immedProp =
-           do n <- readRef nRep
-              nImmed <- readRef nImmedRep
-              return $
-                fromIntegral nImmed /
-                fromIntegral n
-
-     return $
-       results
-       [resultSource
-        "upTimeProp"
-        "The long-run proportion of up time (~ 0.6)"
-        upTimeProp,
-        --
-        resultSource
-        "immedProp"
-        "The proption of time of immediate access (~0.67)"
-        immedProp]
-  
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- It corresponds to model MachRep2 described in document 
+-- Introduction to Discrete-Event Simulation and the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--   
+-- Two machines, but sometimes break down. Up time is exponentially 
+-- distributed with mean 1.0, and repair time is exponentially distributed 
+-- with mean 0.5. In this example, there is only one repairperson, so 
+-- the two machines cannot be repaired simultaneously if they are down 
+-- at the same time.
+--
+-- In addition to finding the long-run proportion of up time as in
+-- model MachRep1, let’s also find the long-run proportion of the time 
+-- that a given machine does not have immediate access to the repairperson 
+-- when the machine breaks down. Output values should be about 0.6 and 0.67. 
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+meanUpTime = 1.0
+meanRepairTime = 0.5
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 1000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+     
+model :: Simulation Results
+model =
+  do -- number of times the machines have broken down
+     nRep <- newRef 0 
+     
+     -- number of breakdowns in which the machine 
+     -- started repair service right away
+     nImmedRep <- newRef 0
+     
+     -- total up time for all machines
+     totalUpTime <- newRef 0.0
+     
+     repairPerson <- newFCFSResource 1
+     
+     let machine :: Process ()
+         machine =
+           do upTime <-
+                liftParameter $
+                randomExponential meanUpTime
+              holdProcess upTime
+              liftEvent $
+                modifyRef totalUpTime (+ upTime) 
+              
+              -- check the resource availability
+              liftEvent $
+                do modifyRef nRep (+ 1)
+                   n <- resourceCount repairPerson
+                   when (n == 1) $
+                     modifyRef nImmedRep (+ 1)
+                
+              requestResource repairPerson
+              repairTime <-
+                liftParameter $
+                randomExponential meanRepairTime
+              holdProcess repairTime
+              releaseResource repairPerson
+              
+              machine
+
+     runProcessInStartTime machine
+     runProcessInStartTime machine
+
+     let upTimeProp =
+           do x <- readRef totalUpTime
+              y <- liftDynamics time
+              return $ x / (2 * y)
+
+         immedProp :: Event Double
+         immedProp =
+           do n <- readRef nRep
+              nImmed <- readRef nImmedRep
+              return $
+                fromIntegral nImmed /
+                fromIntegral n
+
+     return $
+       results
+       [resultSource
+        "upTimeProp"
+        "The long-run proportion of up time (~ 0.6)"
+        upTimeProp,
+        --
+        resultSource
+        "immedProp"
+        "The proption of time of immediate access (~0.67)"
+        immedProp]
+  
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/MachRep3.hs b/examples/MachRep3.hs
--- a/examples/MachRep3.hs
+++ b/examples/MachRep3.hs
@@ -1,94 +1,94 @@
-
--- It corresponds to model MachRep3 described in document 
--- Introduction to Discrete-Event Simulation and the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Variation of models MachRep1, MachRep2. Two machines, but
--- sometimes break down. Up time is exponentially distributed with mean
--- 1.0, and repair time is exponentially distributed with mean 0.5. In
--- this example, there is only one repairperson, and she is not summoned
--- until both machines are down. We find the proportion of up time. It
--- should come out to about 0.45.
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-meanUpTime = 1.0
-meanRepairTime = 0.5
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 1000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-     
-model :: Simulation Results
-model =
-  do -- number of machines currently up
-     nUp <- newRef 2
-     
-     -- total up time for all machines
-     totalUpTime <- newRef 0.0
-     
-     repairPerson <- newResource FCFS 1
-     
-     pid1 <- newProcessId
-     pid2 <- newProcessId
-     
-     let machine :: ProcessId -> Process ()
-         machine pid =
-           do upTime <-
-                liftParameter $
-                randomExponential meanUpTime
-              holdProcess upTime
-              liftEvent $
-                modifyRef totalUpTime (+ upTime) 
-              
-              liftEvent $
-                modifyRef nUp (+ (-1))
-              nUp' <- liftEvent $ readRef nUp
-              if nUp' == 1
-                then passivateProcess
-                else liftEvent $
-                     do n <- resourceCount repairPerson
-                        when (n == 1) $ 
-                          reactivateProcess pid
-              
-              requestResource repairPerson
-              repairTime <-
-                liftParameter $
-                randomExponential meanRepairTime
-              holdProcess repairTime
-              liftEvent $
-                modifyRef nUp (+ 1)
-              releaseResource repairPerson
-              
-              machine pid
-
-     runProcessInStartTimeUsingId
-       pid1 (machine pid2)
-
-     runProcessInStartTimeUsingId
-       pid2 (machine pid1)
-
-     let upTimeProp =
-           do x <- readRef totalUpTime
-              y <- liftDynamics time
-              return $ x / (2 * y)
-
-     return $
-       results
-       [resultSource
-        "upTimeProp"
-        "The long-run proportion of up time (~ 0.45)"
-        upTimeProp]
-  
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  model specs
+
+-- It corresponds to model MachRep3 described in document 
+-- Introduction to Discrete-Event Simulation and the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Variation of models MachRep1, MachRep2. Two machines, but
+-- sometimes break down. Up time is exponentially distributed with mean
+-- 1.0, and repair time is exponentially distributed with mean 0.5. In
+-- this example, there is only one repairperson, and she is not summoned
+-- until both machines are down. We find the proportion of up time. It
+-- should come out to about 0.45.
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+meanUpTime = 1.0
+meanRepairTime = 0.5
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 1000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+     
+model :: Simulation Results
+model =
+  do -- number of machines currently up
+     nUp <- newRef 2
+     
+     -- total up time for all machines
+     totalUpTime <- newRef 0.0
+     
+     repairPerson <- newResource FCFS 1
+     
+     pid1 <- newProcessId
+     pid2 <- newProcessId
+     
+     let machine :: ProcessId -> Process ()
+         machine pid =
+           do upTime <-
+                liftParameter $
+                randomExponential meanUpTime
+              holdProcess upTime
+              liftEvent $
+                modifyRef totalUpTime (+ upTime) 
+              
+              liftEvent $
+                modifyRef nUp (+ (-1))
+              nUp' <- liftEvent $ readRef nUp
+              if nUp' == 1
+                then passivateProcess
+                else liftEvent $
+                     do n <- resourceCount repairPerson
+                        when (n == 1) $ 
+                          reactivateProcess pid
+              
+              requestResource repairPerson
+              repairTime <-
+                liftParameter $
+                randomExponential meanRepairTime
+              holdProcess repairTime
+              liftEvent $
+                modifyRef nUp (+ 1)
+              releaseResource repairPerson
+              
+              machine pid
+
+     runProcessInStartTimeUsingId
+       pid1 (machine pid2)
+
+     runProcessInStartTimeUsingId
+       pid2 (machine pid1)
+
+     let upTimeProp =
+           do x <- readRef totalUpTime
+              y <- liftDynamics time
+              return $ x / (2 * y)
+
+     return $
+       results
+       [resultSource
+        "upTimeProp"
+        "The long-run proportion of up time (~ 0.45)"
+        upTimeProp]
+  
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  model specs
diff --git a/examples/TimeOut.hs b/examples/TimeOut.hs
--- a/examples/TimeOut.hs
+++ b/examples/TimeOut.hs
@@ -1,96 +1,96 @@
-
--- It corresponds to model TimeOut described in document 
--- Advanced Features of the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Introductory example to illustrate the modeling of "competing
--- events" such as timeouts, especially using the cancelProcess function. A
--- network node sends a message but also sets a timeout period; if the
--- node times out, it assumes the message it had sent was lost, and it
--- will send again. The time to get an acknowledgement for a message is
--- exponentially distributed with mean 1.0, and the timeout period is
--- 0.5. Immediately after receiving an acknowledgement, the node sends
--- out a new message.
---
--- We find the proportion of messages which timeout. The output should
--- be about 0.61.
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
-toPeriod = 0.5       -- timeout period
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 10000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-     
-model :: Simulation Double
-model =
-  do -- number of messages sent
-     nMsgs <- newRef 0
-     
-     -- number of timeouts which have occured
-     nTimeOuts <- newRef 0
-     
-     -- reactivatedCode will 1 if timeout occurred, 
-     -- 2 ACK if received
-     reactivatedCode <- newRef 0
-     
-     nodePid <- newProcessId
-     
-     let node :: Process ()
-         node =
-           do liftEvent $ modifyRef nMsgs $ (+) 1
-              -- create process IDs
-              timeoutPid <- liftSimulation newProcessId
-              ackPid <- liftSimulation newProcessId
-              -- set up the timeout
-              liftEvent $ runProcessUsingId timeoutPid (timeout ackPid)
-              -- set up the message send/ACK
-              liftEvent $ runProcessUsingId ackPid (acknowledge timeoutPid)
-              passivateProcess
-              liftEvent $
-                do code <- readRef reactivatedCode
-                   when (code == 1) $
-                     modifyRef nTimeOuts $ (+) 1
-                   writeRef reactivatedCode 0
-              node
-              
-         timeout :: ProcessId -> Process ()
-         timeout ackPid =
-           do holdProcess toPeriod
-              liftEvent $
-                do writeRef reactivatedCode 1
-                   reactivateProcess nodePid
-                   cancelProcessWithId ackPid
-         
-         acknowledge :: ProcessId -> Process ()
-         acknowledge timeoutPid =
-           do ackTime <-
-                liftParameter $
-                randomExponential (1 / ackRate)
-              holdProcess ackTime
-              liftEvent $
-                do writeRef reactivatedCode 2
-                   reactivateProcess nodePid
-                   cancelProcessWithId timeoutPid
-
-     runProcessInStartTimeUsingId
-       nodePid node
-     
-     runEventInStopTime $
-       do x <- readRef nTimeOuts
-          y <- readRef nMsgs
-          return $ x / y
-  
-main = 
-  do putStr "The percentage of timeout was "
-     runSimulation model specs >>= print
+
+-- It corresponds to model TimeOut described in document 
+-- Advanced Features of the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Introductory example to illustrate the modeling of "competing
+-- events" such as timeouts, especially using the cancelProcess function. A
+-- network node sends a message but also sets a timeout period; if the
+-- node times out, it assumes the message it had sent was lost, and it
+-- will send again. The time to get an acknowledgement for a message is
+-- exponentially distributed with mean 1.0, and the timeout period is
+-- 0.5. Immediately after receiving an acknowledgement, the node sends
+-- out a new message.
+--
+-- We find the proportion of messages which timeout. The output should
+-- be about 0.61.
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
+toPeriod = 0.5       -- timeout period
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 10000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+     
+model :: Simulation Double
+model =
+  do -- number of messages sent
+     nMsgs <- newRef 0
+     
+     -- number of timeouts which have occured
+     nTimeOuts <- newRef 0
+     
+     -- reactivatedCode will 1 if timeout occurred, 
+     -- 2 ACK if received
+     reactivatedCode <- newRef 0
+     
+     nodePid <- newProcessId
+     
+     let node :: Process ()
+         node =
+           do liftEvent $ modifyRef nMsgs $ (+) 1
+              -- create process IDs
+              timeoutPid <- liftSimulation newProcessId
+              ackPid <- liftSimulation newProcessId
+              -- set up the timeout
+              liftEvent $ runProcessUsingId timeoutPid (timeout ackPid)
+              -- set up the message send/ACK
+              liftEvent $ runProcessUsingId ackPid (acknowledge timeoutPid)
+              passivateProcess
+              liftEvent $
+                do code <- readRef reactivatedCode
+                   when (code == 1) $
+                     modifyRef nTimeOuts $ (+) 1
+                   writeRef reactivatedCode 0
+              node
+              
+         timeout :: ProcessId -> Process ()
+         timeout ackPid =
+           do holdProcess toPeriod
+              liftEvent $
+                do writeRef reactivatedCode 1
+                   reactivateProcess nodePid
+                   cancelProcessWithId ackPid
+         
+         acknowledge :: ProcessId -> Process ()
+         acknowledge timeoutPid =
+           do ackTime <-
+                liftParameter $
+                randomExponential (1 / ackRate)
+              holdProcess ackTime
+              liftEvent $
+                do writeRef reactivatedCode 2
+                   reactivateProcess nodePid
+                   cancelProcessWithId timeoutPid
+
+     runProcessInStartTimeUsingId
+       nodePid node
+     
+     runEventInStopTime $
+       do x <- readRef nTimeOuts
+          y <- readRef nMsgs
+          return $ x / y
+  
+main = 
+  do putStr "The percentage of timeout was "
+     runSimulation model specs >>= print
diff --git a/examples/TimeOutInt.hs b/examples/TimeOutInt.hs
--- a/examples/TimeOutInt.hs
+++ b/examples/TimeOutInt.hs
@@ -1,77 +1,77 @@
-
--- It corresponds to model TimeOutInt described in document 
--- Advanced Features of the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Same as TimeOut.hs but using interrupts. A network node sends a message
--- but also sets a timeout period; if the node times out, it assumes the
--- message it had sent was lost, and it will send again. The time to get
--- an acknowledgement for a message is exponentially distributed with
--- mean 1.0, and the timeout period is 0.5. Immediately after receiving
--- an acknowledgement, the node sends out a new message.
---
--- We find the proportion of messages which timeout. The output should
--- be about 0.61.
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Simulation.Aivika
-
-ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
-toPeriod = 0.5       -- timeout period
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 10000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-     
-model :: Simulation Double
-model =
-  do -- number of messages sent
-     nMsgs <- newRef 0
-     
-     -- number of timeouts which have occured
-     nTimeOuts <- newRef 0
-
-     nodePid <- newProcessId
-     
-     let node :: Process ()
-         node =
-           do liftEvent $ modifyRef nMsgs $ (+) 1
-              -- create the process ID
-              timeoutPid <- liftSimulation newProcessId
-              -- set up the timeout
-              liftEvent $ runProcessUsingId timeoutPid timeout
-              -- wait for ACK, but could be timeout
-              ackTime <-
-                liftParameter $
-                randomExponential (1 / ackRate)
-              holdProcess ackTime
-              liftEvent $
-                do interrupted <- processInterrupted nodePid
-                   if interrupted
-                     then modifyRef nTimeOuts $ (+) 1
-                     else cancelProcessWithId timeoutPid
-              node
-              
-         timeout :: Process ()
-         timeout =
-           do holdProcess toPeriod
-              liftEvent $ interruptProcess nodePid
-
-     runProcessInStartTimeUsingId
-       nodePid node 
-     
-     runEventInStopTime $
-       do x <- readRef nTimeOuts
-          y <- readRef nMsgs
-          return $ x / y
-  
-main = 
-  do putStr "The percentage of timeout was "
-     runSimulation model specs >>= print
+
+-- It corresponds to model TimeOutInt described in document 
+-- Advanced Features of the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Same as TimeOut.hs but using interrupts. A network node sends a message
+-- but also sets a timeout period; if the node times out, it assumes the
+-- message it had sent was lost, and it will send again. The time to get
+-- an acknowledgement for a message is exponentially distributed with
+-- mean 1.0, and the timeout period is 0.5. Immediately after receiving
+-- an acknowledgement, the node sends out a new message.
+--
+-- We find the proportion of messages which timeout. The output should
+-- be about 0.61.
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Simulation.Aivika
+
+ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
+toPeriod = 0.5       -- timeout period
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 10000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+     
+model :: Simulation Double
+model =
+  do -- number of messages sent
+     nMsgs <- newRef 0
+     
+     -- number of timeouts which have occured
+     nTimeOuts <- newRef 0
+
+     nodePid <- newProcessId
+     
+     let node :: Process ()
+         node =
+           do liftEvent $ modifyRef nMsgs $ (+) 1
+              -- create the process ID
+              timeoutPid <- liftSimulation newProcessId
+              -- set up the timeout
+              liftEvent $ runProcessUsingId timeoutPid timeout
+              -- wait for ACK, but could be timeout
+              ackTime <-
+                liftParameter $
+                randomExponential (1 / ackRate)
+              holdProcess ackTime
+              liftEvent $
+                do interrupted <- processInterrupted nodePid
+                   if interrupted
+                     then modifyRef nTimeOuts $ (+) 1
+                     else cancelProcessWithId timeoutPid
+              node
+              
+         timeout :: Process ()
+         timeout =
+           do holdProcess toPeriod
+              liftEvent $ interruptProcess nodePid
+
+     runProcessInStartTimeUsingId
+       nodePid node 
+     
+     runEventInStopTime $
+       do x <- readRef nTimeOuts
+          y <- readRef nMsgs
+          return $ x / y
+  
+main = 
+  do putStr "The percentage of timeout was "
+     runSimulation model specs >>= print
diff --git a/examples/TimeOutWait.hs b/examples/TimeOutWait.hs
--- a/examples/TimeOutWait.hs
+++ b/examples/TimeOutWait.hs
@@ -1,70 +1,70 @@
-
--- It corresponds to model TimeOut described in document 
--- Advanced Features of the SimPy Language
--- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
--- SimPy is available on [http://simpy.sourceforge.net/].
---   
--- The model description is as follows.
---
--- Introductory example to illustrate the modeling of "competing
--- events" such as timeouts, especially using the timeoutProcess
--- function. A network node starts a process within the specified 
--- timeout and receives a signal that notifies whether the process 
--- has finished successfully within the timeout; if the node
--- times out, it assumes the message it had sent was lost, and it
--- will send again. The time to get an acknowledgement for a message is
--- exponentially distributed with mean 1.0, and the timeout period is
--- 0.5. Immediately after receiving an acknowledgement, the node sends
--- out a new message.
---
--- We find the proportion of messages which timeout. The output should
--- be about 0.61.
-
-import Control.Monad
-import Control.Monad.Trans
-
-import Data.Maybe
-
-import Simulation.Aivika
-
-ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
-toPeriod = 0.5       -- timeout period
-
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 10000.0,
-                spcDT = 1.0,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-        
-model :: Simulation Double
-model =
-  do -- number of messages sent
-     nMsgs <- newRef 0
-     
-     -- number of timeouts which have occured
-     nTimeOuts <- newRef 0
-     
-     let node :: Process ()
-         node =
-           do liftEvent $ modifyRef nMsgs $ (+) 1
-              result <-
-                timeoutProcess toPeriod $
-                do ackTime <-
-                     liftParameter $
-                     randomExponential (1 / ackRate)
-                   holdProcess ackTime
-              liftEvent $
-                when (isNothing result) $
-                modifyRef nTimeOuts $ (+) 1
-              node
-
-     runProcessInStartTime node
-     
-     runEventInStopTime $
-       do x <- readRef nTimeOuts
-          y <- readRef nMsgs
-          return $ x / y
-  
-main = 
-  do putStr "The percentage of timeout was "
-     runSimulation model specs >>= print
+
+-- It corresponds to model TimeOut described in document 
+-- Advanced Features of the SimPy Language
+-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/AdvancedSimPy.pdf]. 
+-- SimPy is available on [http://simpy.sourceforge.net/].
+--   
+-- The model description is as follows.
+--
+-- Introductory example to illustrate the modeling of "competing
+-- events" such as timeouts, especially using the timeoutProcess
+-- function. A network node starts a process within the specified 
+-- timeout and receives a signal that notifies whether the process 
+-- has finished successfully within the timeout; if the node
+-- times out, it assumes the message it had sent was lost, and it
+-- will send again. The time to get an acknowledgement for a message is
+-- exponentially distributed with mean 1.0, and the timeout period is
+-- 0.5. Immediately after receiving an acknowledgement, the node sends
+-- out a new message.
+--
+-- We find the proportion of messages which timeout. The output should
+-- be about 0.61.
+
+import Control.Monad
+import Control.Monad.Trans
+
+import Data.Maybe
+
+import Simulation.Aivika
+
+ackRate = 1.0 / 1.0  -- reciprocal of the acknowledge mean time
+toPeriod = 0.5       -- timeout period
+
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 10000.0,
+                spcDT = 1.0,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+        
+model :: Simulation Double
+model =
+  do -- number of messages sent
+     nMsgs <- newRef 0
+     
+     -- number of timeouts which have occured
+     nTimeOuts <- newRef 0
+     
+     let node :: Process ()
+         node =
+           do liftEvent $ modifyRef nMsgs $ (+) 1
+              result <-
+                timeoutProcess toPeriod $
+                do ackTime <-
+                     liftParameter $
+                     randomExponential (1 / ackRate)
+                   holdProcess ackTime
+              liftEvent $
+                when (isNothing result) $
+                modifyRef nTimeOuts $ (+) 1
+              node
+
+     runProcessInStartTime node
+     
+     runEventInStopTime $
+       do x <- readRef nTimeOuts
+          y <- readRef nMsgs
+          return $ x / y
+  
+main = 
+  do putStr "The percentage of timeout was "
+     runSimulation model specs >>= print
diff --git a/examples/WorkStationsInSeries.hs b/examples/WorkStationsInSeries.hs
--- a/examples/WorkStationsInSeries.hs
+++ b/examples/WorkStationsInSeries.hs
@@ -1,139 +1,139 @@
-
--- Example: Work Stations in Series
---
--- This is a model of two work stations connected in a series and separated by finite queues.
---
--- It is described in different sources [1, 2]. So, this is chapter 7 of [2] and section 5.14 of [1].
---
--- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
---
--- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
-
-import Prelude hiding (id, (.)) 
-
-import Control.Monad
-import Control.Monad.Trans
-import Control.Arrow
-import Control.Category (id, (.))
-
-import Simulation.Aivika
-import Simulation.Aivika.Queue
-
--- | The simulation specs.
-specs = Specs { spcStartTime = 0.0,
-                spcStopTime = 300.0,
-                spcDT = 0.1,
-                spcMethod = RungeKutta4,
-                spcGeneratorType = SimpleGenerator }
-
--- the mean delay of the input arrivals distributed exponentially
-meanOrderDelay = 0.4 
-
--- the capacity of the queue before the first work places
-queueMaxCount1 = 4
-
--- the capacity of the queue before the second work places
-queueMaxCount2 = 2
-
--- the mean processing time distributed exponentially in
--- the first work stations
-meanProcessingTime1 = 0.25
-
--- the mean processing time distributed exponentially in
--- the second work stations
-meanProcessingTime2 = 0.5
-
--- the number of the first work stations
--- (in parallel but the commented code allocates them sequentially)
-workStationCount1 = 1
-
--- the number of the second work stations
--- (in parallel but the commented code allocates them sequentially)
-workStationCount2 = 1
-
--- create a work station (server) with the exponential processing time
-newWorkStationExponential meanTime =
-  newServer $ \a ->
-  do holdProcess =<<
-       (liftParameter $
-        randomExponential meanTime)
-     return a
-
--- interpose the prefetch processor between two processors
-interposePrefetchProcessor x y = 
-  x >>> prefetchProcessor >>> y
-
-model :: Simulation Results
-model = do
-  -- it will gather the statistics of the processing time
-  arrivalTimer <- newArrivalTimer
-  -- define a stream of input events
-  let inputStream = randomExponentialStream meanOrderDelay 
-  -- create a queue before the first work stations
-  queue1 <-
-    runEventInStartTime $
-    newFCFSQueue queueMaxCount1
-  -- create a queue before the second work stations
-  queue2 <-
-    runEventInStartTime $
-    newFCFSQueue queueMaxCount2
-  -- create the first work stations (servers)
-  workStation1s <- forM [1 .. workStationCount1] $ \_ ->
-    newWorkStationExponential meanProcessingTime1
-  -- create the second work stations (servers)
-  workStation2s <- forM [1 .. workStationCount2] $ \_ ->
-    newWorkStationExponential meanProcessingTime2
-  -- processor for the queue before the first work station
-  let queueProcessor1 =
-        queueProcessor
-        (\a -> liftEvent $ enqueueOrLost_ queue1 a)
-        (dequeue queue1)
-  -- processor for the queue before the second work station
-  let queueProcessor2 =
-        queueProcessor
-        (enqueue queue2)
-        (dequeue queue2)
-  -- the entire processor from input to output
-  let entireProcessor =
-        queueProcessor1 >>>
-        processorParallel (map serverProcessor workStation1s) >>>
-        -- foldr1 interposePrefetchProcessor (map serverProcessor workStation1s) >>>
-        queueProcessor2 >>>
-        processorParallel (map serverProcessor workStation2s) >>>
-        -- foldr1 interposePrefetchProcessor (map serverProcessor workStation2s) >>>
-        arrivalTimerProcessor arrivalTimer
-  -- start simulating the model
-  runProcessInStartTime $
-    sinkStream $ runProcessor entireProcessor inputStream
-  -- return the simulation results
-  return $
-    results
-    [resultSource
-     "queue1" "Queue no. 1"
-     queue1,
-     --
-     resultSource
-     "workStation1s" "Work Stations of line no. 1"
-     workStation1s,
-     --
-     resultSource
-     "queue2" "Queue no. 2"
-     queue2,
-     --
-     resultSource
-     "workStation2s" "Work Stations of line no. 2"
-     workStation2s,
-     --
-     resultSource
-     "arrivalTimer" "The arrival timer"
-     arrivalTimer]
-
-modelSummary :: Simulation Results
-modelSummary =
-  fmap resultSummary model
-
-main =
-  printSimulationResultsInStopTime
-  printResultSourceInEnglish
-  -- model specs
-  modelSummary specs
+
+-- Example: Work Stations in Series
+--
+-- This is a model of two work stations connected in a series and separated by finite queues.
+--
+-- It is described in different sources [1, 2]. So, this is chapter 7 of [2] and section 5.14 of [1].
+--
+-- [1] A. Alan B. Pritsker, Simulation with Visual SLAM and AweSim, 2nd ed.
+--
+-- [2] Труб И.И., Объектно-ориентированное моделирование на C++: Учебный курс. - СПб.: Питер, 2006
+
+import Prelude hiding (id, (.)) 
+
+import Control.Monad
+import Control.Monad.Trans
+import Control.Arrow
+import Control.Category (id, (.))
+
+import Simulation.Aivika
+import Simulation.Aivika.Queue
+
+-- | The simulation specs.
+specs = Specs { spcStartTime = 0.0,
+                spcStopTime = 300.0,
+                spcDT = 0.1,
+                spcMethod = RungeKutta4,
+                spcGeneratorType = SimpleGenerator }
+
+-- the mean delay of the input arrivals distributed exponentially
+meanOrderDelay = 0.4 
+
+-- the capacity of the queue before the first work places
+queueMaxCount1 = 4
+
+-- the capacity of the queue before the second work places
+queueMaxCount2 = 2
+
+-- the mean processing time distributed exponentially in
+-- the first work stations
+meanProcessingTime1 = 0.25
+
+-- the mean processing time distributed exponentially in
+-- the second work stations
+meanProcessingTime2 = 0.5
+
+-- the number of the first work stations
+-- (in parallel but the commented code allocates them sequentially)
+workStationCount1 = 1
+
+-- the number of the second work stations
+-- (in parallel but the commented code allocates them sequentially)
+workStationCount2 = 1
+
+-- create a work station (server) with the exponential processing time
+newWorkStationExponential meanTime =
+  newServer $ \a ->
+  do holdProcess =<<
+       (liftParameter $
+        randomExponential meanTime)
+     return a
+
+-- interpose the prefetch processor between two processors
+interposePrefetchProcessor x y = 
+  x >>> prefetchProcessor >>> y
+
+model :: Simulation Results
+model = do
+  -- it will gather the statistics of the processing time
+  arrivalTimer <- newArrivalTimer
+  -- define a stream of input events
+  let inputStream = randomExponentialStream meanOrderDelay 
+  -- create a queue before the first work stations
+  queue1 <-
+    runEventInStartTime $
+    newFCFSQueue queueMaxCount1
+  -- create a queue before the second work stations
+  queue2 <-
+    runEventInStartTime $
+    newFCFSQueue queueMaxCount2
+  -- create the first work stations (servers)
+  workStation1s <- forM [1 .. workStationCount1] $ \_ ->
+    newWorkStationExponential meanProcessingTime1
+  -- create the second work stations (servers)
+  workStation2s <- forM [1 .. workStationCount2] $ \_ ->
+    newWorkStationExponential meanProcessingTime2
+  -- processor for the queue before the first work station
+  let queueProcessor1 =
+        queueProcessor
+        (\a -> liftEvent $ enqueueOrLost_ queue1 a)
+        (dequeue queue1)
+  -- processor for the queue before the second work station
+  let queueProcessor2 =
+        queueProcessor
+        (enqueue queue2)
+        (dequeue queue2)
+  -- the entire processor from input to output
+  let entireProcessor =
+        queueProcessor1 >>>
+        processorParallel (map serverProcessor workStation1s) >>>
+        -- foldr1 interposePrefetchProcessor (map serverProcessor workStation1s) >>>
+        queueProcessor2 >>>
+        processorParallel (map serverProcessor workStation2s) >>>
+        -- foldr1 interposePrefetchProcessor (map serverProcessor workStation2s) >>>
+        arrivalTimerProcessor arrivalTimer
+  -- start simulating the model
+  runProcessInStartTime $
+    sinkStream $ runProcessor entireProcessor inputStream
+  -- return the simulation results
+  return $
+    results
+    [resultSource
+     "queue1" "Queue no. 1"
+     queue1,
+     --
+     resultSource
+     "workStation1s" "Work Stations of line no. 1"
+     workStation1s,
+     --
+     resultSource
+     "queue2" "Queue no. 2"
+     queue2,
+     --
+     resultSource
+     "workStation2s" "Work Stations of line no. 2"
+     workStation2s,
+     --
+     resultSource
+     "arrivalTimer" "The arrival timer"
+     arrivalTimer]
+
+modelSummary :: Simulation Results
+modelSummary =
+  fmap resultSummary model
+
+main =
+  printSimulationResultsInStopTime
+  printResultSourceInEnglish
+  -- model specs
+  modelSummary specs
