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https://git.cs.ou.nl/joshua.moerman/mealy-decompose.git
synced 2025-04-29 17:57:44 +02:00
102 lines
3.8 KiB
Haskell
102 lines
3.8 KiB
Haskell
{-# LANGUAGE PartialTypeSignatures #-}
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{-# OPTIONS_GHC -Wno-partial-type-signatures #-}
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module Main where
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import Data.Partition (Block (..))
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import SplittingTree
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import Control.Monad.Random.Strict
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import Control.Monad.Trans.State (execStateT)
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import Data.List (sortOn)
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import Data.Map qualified as Map
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import Data.Set qualified as Set
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import System.Environment
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import System.Random
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genTransitions :: _ => Int -> [Char] -> [Char] -> RandT _ _ _
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genTransitions size inputs outputs = do
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let
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states = [1 .. size]
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numOutputs = length outputs
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randomOutput = (outputs !!) <$> liftRand (uniformR (0, numOutputs - 1))
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randomTarget = (states !!) <$> liftRand (uniformR (0, size - 1))
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randomTransition s i = (\o t -> (s, i, o, t)) <$> randomOutput <*> randomTarget
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t <- sequence $ randomTransition <$> states <*> inputs
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return (states, t)
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-- numC <= 8
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genComposition :: _ => Int -> Int -> [Char] -> RandT _ _ _
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genComposition size numC inputs = do
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let
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components = [1 .. numC]
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outputSets = [[], "xy", "zw", "uv", "kl", "mn", "op", "qr", "st"]
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allTransitions <- traverse (\c -> genTransitions size inputs (outputSets !! c)) components
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let
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productState = fmap (Map.fromList . zip components) (mapM fst allTransitions)
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allStates = (,) <$> components <*> productState
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compMap = Map.fromList $ zip components ((Map.fromList . fmap (\(s, i, o, t) -> ((s, i), (o, t)))) . snd <$> allTransitions)
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norm c
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| c <= 0 = c + numC
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| c > numC = c - numC
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| otherwise = c
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transition (c, cs) 'L' = (norm (c - 1), cs)
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transition (c, cs) 'R' = (norm (c + 1), cs)
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transition (c, cs) x = (c, Map.adjust (\s -> snd (compMap Map.! c Map.! (s, x))) c cs)
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output _ 'L' = 'L'
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output _ 'R' = 'R'
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output (c, cs) x = fst (compMap Map.! c Map.! (cs Map.! c, x))
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-- initial states, inputs, transition function, outputs
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return (head allStates, 'L' : 'R' : inputs, transition, output)
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reachability :: _ => s -> [i] -> (s -> i -> s) -> Map.Map s Int
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reachability initialState inputs transitions = go 0 Map.empty [initialState]
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where
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go _ visited [] = visited
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go n visited (s : rest) =
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let newVis = Map.insert s n visited
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newStates = [t | i <- inputs, let t = transitions s i, t `Map.notMember` newVis]
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in go (n + 1) newVis (rest ++ newStates)
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main :: IO ()
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main = do
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[nStr, cStr] <- getArgs
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let
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n = read nStr
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c = read cStr
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-- create random composition
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(init0, inputs, trans0, outpf0) <- evalRandIO (genComposition n c ['a', 'b'])
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-- reachable part only
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let
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reachableMap = reachability init0 inputs trans0
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inverseMap = Map.fromList . fmap (\(a, b) -> (b, a)) . Map.toList $ reachableMap
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states = Map.elems reachableMap
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init = reachableMap Map.! init0
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trans s i = reachableMap Map.! trans0 (inverseMap Map.! s) i
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outpf s = outpf0 (inverseMap Map.! s)
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-- minimize
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let
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outputFuns = [(i, fun) | i <- inputs, let fun s = outpf s i]
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reverseTransitionMaps i = Map.fromListWith (++) [(t, [s]) | s <- states, let t = trans s i]
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reverseFuns = [(i, fun) | i <- inputs, let m = reverseTransitionMaps i, let fun s = Map.findWithDefault [] s m]
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PRState{..} <- execStateT (refine (const (pure ())) outputFuns reverseFuns) (initialPRState states)
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-- print
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let
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toBlock s = getBarePartition partition Map.! s
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allTransitions = [(toBlock s, i, o, toBlock t) | s <- states, i <- inputs, let o = outpf s i, let t = trans s i]
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uniqueTransitions = sortOn (\(s, _, _, _) -> s /= toBlock init) . Set.toList . Set.fromList $ allTransitions
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showLabel i o = "[label=\"" <> [i] <> "/" <> [o] <> "\"]"
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showTransition (Block s) i o (Block t) = "s" <> show s <> " -> " <> "s" <> show t <> " " <> showLabel i o
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putStrLn "digraph g {"
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mapM_ (\(s, i, o, t) -> putStrLn (" " <> showTransition s i o t)) uniqueTransitions
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putStrLn "}"
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