git-annex/doc/design/requests_routing/simroutes.hs

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-- Simulation of non-flood syncing of content, across a network of nodes.
module Main where
import System.Random
import Control.Monad.Random
import Control.Monad
import Control.Applicative
import Data.Ratio
import Data.Ord
import Data.List
import Data.Maybe
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import qualified Data.Set as S
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import qualified Data.Map.Strict as M
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{-
- Tunable values
-}
totalFiles :: Int
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totalFiles = 100
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-- How likely is a given file to be wanted by any particular node?
probabilityFilesWanted :: Probability
probabilityFilesWanted = 0.10
-- How many different locations can each transfer node move between?
-- (Min, Max)
transferDestinationsRange :: (Int, Int)
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transferDestinationsRange = (2, 3)
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-- Controls how likely transfer nodes are to move around in a given step
-- of the simulation.
-- (They actually move slightly less because they may start to move and
-- pick the same location they are at.)
-- (Min, Max)
transferMoveFrequencyRange :: (Probability, Probability)
transferMoveFrequencyRange = (0.10, 1.00)
-- counts both immobile and transfer nodes as hops, so double Vince's
-- theoretical TTL of 3.
-- (30% loss on mocambos network w/o ttl of 4!)
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maxTTL :: TTL
maxTTL = TTL (4 * 2)
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numImmobileNodes :: Int
numImmobileNodes = 10
numTransferNodes :: Int
numTransferNodes = 20
numSteps :: Int
numSteps = 100
-- IO code
main :: IO ()
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main = do
-- initialnetwork <- evalRandIO (seedFiles totalFiles =<< genNetwork)
initialnetwork <- evalRandIO (seedFiles totalFiles =<< mocambosNetwork)
networks <- evalRandIO (simulate numSteps initialnetwork)
let finalnetwork = last networks
putStrLn $ summarize initialnetwork finalnetwork
putStrLn "location history of file 1:"
print $ trace (traceHaveFile (File 1)) networks
putStrLn "request history of file 1:"
print $ trace (traceWantFile (File 1)) networks
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-- Only pure code below :)
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data Network = Network (M.Map NodeName ImmobileNode) [TransferNode]
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deriving (Show, Eq)
data ImmobileNode = ImmobileNode NodeRepo
deriving (Show, Eq)
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type NodeName = String
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type Route = [NodeName]
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data TransferNode = TransferNode
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{ currentlocation :: NodeName
, possiblelocations :: [NodeName]
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, movefrequency :: Probability
, transferrepo :: NodeRepo
}
deriving (Show, Eq)
data NodeRepo = NodeRepo
{ wantFiles :: [Request]
, haveFiles :: S.Set File
, satisfiedRequests :: S.Set Request
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}
deriving (Show, Eq)
data File = File Int
deriving (Show, Eq, Ord)
randomFile :: (RandomGen g) => Rand g File
randomFile = File <$> getRandomR (0, totalFiles)
data Request = Request File TTL
deriving (Show, Ord)
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-- compare ignoring TTL
instance Eq Request where
(Request f1 _) == (Request f2 _) = f1 == f2
requestedFile :: Request -> File
requestedFile (Request f _) = f
requestTTL :: Request -> TTL
requestTTL (Request _ ttl) = ttl
data TTL = TTL Int
deriving (Show, Eq, Ord)
incTTL :: TTL -> TTL
incTTL (TTL t) = TTL (t + 1)
decTTL :: TTL -> TTL
decTTL (TTL t) = TTL (t - 1)
staleTTL :: TTL -> Bool
staleTTL (TTL t) = t < 1
-- Origin of a request starts one higher than max, since the TTL
-- will decrement the first time the Request is transferred to another node.
originTTL :: TTL
originTTL = incTTL maxTTL
randomRequest :: (RandomGen g) => Rand g Request
randomRequest = Request
<$> randomFile
<*> pure originTTL
type Probability = Float
randomProbability :: (RandomGen g) => Rand g Probability
randomProbability = getRandomR (0, 1)
-- Returns the state of the network at each step of the simulation.
simulate :: (RandomGen g) => Int -> Network -> Rand g [Network]
simulate n net = go n [net]
where
go 0 nets = return (reverse nets)
go c (prev:nets) = do
new <- step prev
go (c - 1) (new:prev:nets)
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-- Each step of the simulation, check if each TransferNode wants to move,
-- and if so:
-- 1. It and its current location exchange their Requests.
-- 2. And they exchange any requested files.
-- 3. Move it to a new random location.
--
-- Note: This implementation does not exchange requests between two
-- TransferNodes that both arrive at the same location at the same step,
-- and then move away in the next step.
step :: (RandomGen g) => Network -> Rand g Network
step (Network immobiles transfers) = go immobiles [] transfers
where
go is c [] = return (Network is c)
go is c (t:ts) = do
r <- randomProbability
if movefrequency t <= r
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then case M.lookup (currentlocation t) is of
Nothing -> go is (c ++ [t]) ts
Just currentloc -> do
let (currentloc', t') = merge currentloc t
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t'' <- move t'
go (M.insert (currentlocation t) currentloc' is) (c ++ [t'']) ts
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else go is (c ++ [t]) ts
merge :: ImmobileNode -> TransferNode -> (ImmobileNode, TransferNode)
merge (ImmobileNode ir) t@(TransferNode { transferrepo = tr }) =
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( ImmobileNode (go ir tr)
, t { transferrepo = go tr ir }
)
where
go r1 r2 = r1
{ wantFiles = wantFiles'
, haveFiles = haveFiles'
, satisfiedRequests = satisfiedRequests' `S.union` checkSatisfied wantFiles' haveFiles'
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}
where
wantFiles' = foldr addRequest (wantFiles r1) (wantFiles r2)
haveFiles' = S.foldr (addFile wantFiles' satisfiedRequests') (haveFiles r1) (haveFiles r2)
satisfiedRequests' = satisfiedRequests r1 `S.union` satisfiedRequests r2
-- Adds a file to the set, when there's a request for it, and the request
-- has not already been satisfied.
addFile :: [Request] -> S.Set Request -> File -> S.Set File -> S.Set File
addFile rs srs f fs
| any (\sr -> f == requestedFile sr) (S.toList srs) = fs
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| any (\r -> f == requestedFile r) rs = S.insert f fs
| otherwise = fs
-- Checks if any requests have been satisfied, and returns them,
-- to be added to satisfidRequests
checkSatisfied :: [Request] -> S.Set File -> S.Set Request
checkSatisfied want have = S.fromList (filter satisfied want)
where
satisfied r = requestTTL r == originTTL && S.member (requestedFile r) have
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-- Decrements TTL, and avoids adding request with a stale TTL, or a
-- request for an already added file with the same or a lower TTL.
addRequest :: Request -> [Request] -> [Request]
addRequest (Request f ttl) rs
| staleTTL ttl' = rs
| any (\r -> requestTTL r >= ttl) similar = rs
| otherwise = r' : other
where
ttl' = decTTL ttl
r' = Request f ttl'
(other, similar) = partition (/= r') rs
move :: (RandomGen g) => TransferNode -> Rand g TransferNode
move t = do
newloc <- randomfrom (possiblelocations t)
return $ t { currentlocation = newloc }
genNetwork :: (RandomGen g) => Rand g Network
genNetwork = do
let immobiles = M.fromList (zip (map show [1..]) (replicate numImmobileNodes emptyImmobile))
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transfers <- sequence (replicate numTransferNodes (mkTransfer $ M.keys immobiles))
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return $ Network immobiles transfers
emptyImmobile :: ImmobileNode
emptyImmobile = ImmobileNode (NodeRepo [] S.empty S.empty)
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mkTransfer :: (RandomGen g) => [NodeName] -> Rand g TransferNode
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mkTransfer immobiles = do
-- Transfer nodes are given random routes. May be simplistic.
-- Also, some immobile nodes will not be serviced by any transfer nodes.
numpossiblelocs <- getRandomR transferDestinationsRange
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possiblelocs <- sequence (replicate numpossiblelocs (randomfrom immobiles))
mkTransferBetween possiblelocs
mkTransferBetween :: (RandomGen g) => [NodeName] -> Rand g TransferNode
mkTransferBetween possiblelocs = do
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currentloc <- randomfrom possiblelocs
movefreq <- getRandomR transferMoveFrequencyRange
-- transfer nodes start out with no files or requests in their repo
let repo = (NodeRepo [] S.empty S.empty)
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return $ TransferNode currentloc possiblelocs movefreq repo
randomfrom :: (RandomGen g) => [a] -> Rand g a
randomfrom l = do
i <- getRandomR (1, length l)
return $ l !! (i - 1)
-- Seeds the network with the given number of files. Each file is added to
-- one of the immobile nodes of the network at random. And, one other node,
-- at random, is selected which wants to get the file.
seedFiles :: (RandomGen g) => Int -> Network -> Rand g Network
seedFiles 0 network = return network
seedFiles n network@(Network m t) = do
(origink, ImmobileNode originr) <- randnode
(destinationk, ImmobileNode destinationr) <- randnode
let file = File n
let origin = ImmobileNode $ originr
{ haveFiles = S.insert file (haveFiles originr) }
let destination = ImmobileNode $ destinationr
{ wantFiles = Request file originTTL : wantFiles destinationr }
let m' = M.insert origink origin $
M.insert destinationk destination m
seedFiles (n - 1) (Network m' t)
where
randnode = do
k <- randomfrom (M.keys m)
return (k, fromJust $ M.lookup k m)
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summarize :: Network -> Network -> String
summarize _initial@(Network origis _) _final@(Network is _ts) = format
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[ ("Total wanted files",
show (sum (overis (length . findoriginreqs . wantFiles . repo))))
, ("Wanted files that were not transferred to requesting node",
show (sum (overis (S.size . findunsatisfied . repo))))
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, ("Nodes that failed to get files",
show (map withinitiallocs $ filter (not . S.null . snd)
(M.toList $ M.map (findunsatisfied . repo) is)))
, ("Total number of files on immobile nodes at end",
show (overis (S.size . haveFiles . repo)))
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--, ("Immobile nodes at end", show is)
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]
where
findoriginreqs = filter (\r -> requestTTL r == originTTL)
findunsatisfied r =
let wantedfs = S.fromList $ map requestedFile (findoriginreqs (wantFiles r))
in S.difference wantedfs (haveFiles r)
repo (ImmobileNode r) = r
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overis f = map f $ M.elems is
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format = unlines . map (\(d, s) -> d ++ ": " ++ s)
withinitiallocs (name, missingfiles) = (name, S.map addinitialloc missingfiles)
addinitialloc f = (f, M.lookup f initiallocs)
initiallocs = M.fromList $
concatMap (\(k, v) -> map (\f -> (f, k)) (S.toList $ haveFiles $ repo v)) $
M.toList origis
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trace :: (Network -> S.Set NodeName) -> [Network] -> String
trace tracer networks = show $ go [] S.empty $ map tracer networks
where
go c old [] = reverse c
go c old (new:l) = go ((S.toList $ new `S.difference` old):c) new l
traceHaveFile :: File -> Network -> S.Set NodeName
traceHaveFile f (Network m _) = S.fromList $ M.keys $
M.filter (\(ImmobileNode r) -> f `S.member` haveFiles r) m
traceWantFile :: File -> Network -> S.Set NodeName
traceWantFile f (Network m _) = S.fromList $ M.keys $
M.filter (\(ImmobileNode r) -> any wantf (wantFiles r)) m
where
wantf (Request rf _ttl) = rf == f
mocambosNetwork :: (RandomGen g) => Rand g Network
mocambosNetwork = do
let major = map (immobilenamed . fst) communities
let minor = map immobilenamed (concatMap snd communities)
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majortransfer <- mapM mkTransferBetween majorroutes
minortransfer <- mapM mkTransferBetween (concatMap minorroutes (concat (replicate 5 communities)))
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return $ Network
(M.fromList (major++minor))
(majortransfer ++ minortransfer)
where
immobilenamed name = (name, emptyImmobile)
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-- As a simplification, this only makes 2 hop routes, between minor
-- and major communities; no 3-legged routes.
minorroutes :: (NodeName, [NodeName]) -> [Route]
minorroutes (major, minors) = map (\n -> [major, n]) minors
communities :: [(NodeName, [NodeName])]
communities =
[ ("Tainá/SP",
[ "badtas"
, "vauedo ribera"
, "cofundo"
, "jao"
, "fazenda"
]
)
, ("Odomode/RS",
[ "moradadapaz"
, "pelotas"
]
)
, ("MercadoSul/DF",
[ "mesquito"
, "kalungos"
]
)
, ("Coco/PE",
[ "xambá"
, "alafin"
, "terreiaos"
]
)
, ("Linharinho/ES",
[ "monte alegne"
]
)
, ("Boneco/BA",
[ "barroso"
, "lagoa santa"
, "terravista"
]
)
, ("Zumbidospalmanes/NA",
[ "allantana"
]
)
, ("Casa Pneta/PA",
[ "marajó"
]
)
, ("Purarue/PA",
[ "oriaminá"
]
)
, ("Madiba/NET", [])
]
majorroutes :: [Route]
majorroutes =
-- person's routes
[ ["Tainá/SP", "Odomode/RS"]
, ["Tainá/SP", "MercadoSul/DF"]
, ["MercadoSul/DF", "Boneco/BA"]
, ["MercadoSul/DF", "Zumbidospalmanes/NA"]
, ["Zumbidospalmanes/NA", "Casa Pneta/PA"]
, ["Casa Pneta/PA", "Purarue/PA"]
, ["Casa Pneta/PA", "Linharinho/ES"]
, ["Boneco/BA", "Coco/PE"]
-- internet connections
, ["Tainá/SP", "MercadoSul/DF", "Coco/PE", "Purarue/PA", "Odomode/RS", "Madiba/NET"]
, ["Tainá/SP", "MercadoSul/DF", "Coco/PE", "Purarue/PA", "Odomode/RS", "Madiba/NET"]
, ["Tainá/SP", "MercadoSul/DF", "Coco/PE", "Purarue/PA", "Odomode/RS", "Madiba/NET"]
, ["Tainá/SP", "MercadoSul/DF", "Coco/PE", "Purarue/PA", "Odomode/RS", "Madiba/NET"]
, ["Tainá/SP", "MercadoSul/DF", "Coco/PE", "Purarue/PA", "Odomode/RS", "Madiba/NET"]
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]