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If the Library as you +received it does not specify a version number of the GNU Lesser +General Public License, you may choose any version of the GNU Lesser +General Public License ever published by the Free Software Foundation. - You should also get your employer (if you work as a programmer) or school, -if any, to sign a "copyright disclaimer" for the program, if necessary. -For more information on this, and how to apply and follow the GNU AGPL, see -. + If the Library as you received it specifies that a proxy can decide +whether future versions of the GNU Lesser General Public License shall +apply, that proxy's public statement of acceptance of any version is +permanent authorization for you to choose that version for the +Library. diff --git a/comonad-coactions.cabal b/comonad-coactions.cabal --- a/comonad-coactions.cabal +++ b/comonad-coactions.cabal @@ -1,6 +1,5 @@ -cabal-version: 3.4 -name: comonad-coactions - +cabal-version: 3.4 +name: comonad-coactions -- The package version. -- See the Haskell package versioning policy (PVP) for standards -- guiding when and how versions should be incremented. @@ -8,107 +7,135 @@ -- PVP summary: +-+------- breaking API changes -- | | +----- non-breaking API additions -- | | | +--- code changes with no API change -version: 0.1.0.0 - +version: 0.1.0.1 synopsis: Coactions of comonads on functors - description: This package defines classes for left and right coactions of comonads on functors. -license: AGPL-3.0-or-later -license-file: LICENSE -author: noiioiu -maintainer: noiioiu@cocaine.ninja - +license: LGPL-2.0-or-later +license-file: LICENSE +author: noiioiu +maintainer: noiioiu@cocaine.ninja homepage: https://codeberg.org/noiioiu/comonad-coactions - -category: Control, - Comonads -build-type: Simple +category: + Control, + Comonads -extra-doc-files: CHANGELOG.md +build-type: Simple +extra-doc-files: CHANGELOG.md common warnings - ghc-options: -Wall + ghc-options: -Wall source-repository head type: git location: ssh://git@codeberg.org/noiioiu/comonad-coactions.git library - import: warnings - exposed-modules: Control.Comonad.Coaction, - Control.Comonad.TransformerStack, - Control.Comonad.Coaction.Left, - Control.Comonad.Coaction.Right, - other-modules: Control.Comonad.Coaction.TH - build-depends: base >= 4.20.2 && < 4.21, - comonad >= 5.0.10 && < 5.1, - kan-extensions >= 5.2.8 && < 5.3, - free >= 5.2 && < 5.3, - template-haskell >= 2.22.0 && < 2.23, - adjunctions >= 4.4.4 && < 4.5, - - hs-source-dirs: src - default-language: GHC2021 + import: warnings + exposed-modules: + Control.Comonad.Coaction + Control.Comonad.Coaction.Left + Control.Comonad.Coaction.Right + Control.Comonad.TransformerStack + other-modules: Control.Comonad.Coaction.TH + build-depends: + adjunctions >=4.4.4 && <4.5, + base >=4.20.2 && <4.23, + comonad >=5.0.10 && <5.1, + free >=5.2 && <5.3, + kan-extensions >=5.2.8 && <5.3, + template-haskell >=2.23.0 && <2.25, + + hs-source-dirs: src + default-language: GHC2024 + flag examples description: Build examples - default: False - manual: True + default: False + manual: True -executable ca +executable elementary import: warnings + if !flag(examples) buildable: False - default-language: GHC2021 + default-language: GHC2024 hs-source-dirs: examples main-is: ElementaryCA.hs build-depends: - comonad-coactions, - base >= 4.20.2 && < 4.21, - comonad >= 5.0.10 && < 5.1, - finite-typelits >= 0.2.1 && < 0.3, - random >= 1.3.1 && < 1.4, - terminal-size >= 0.3.4 && < 0.4, - vector-sized >= 1.6.1 && < 1.7, + base, + comonad, + comonad-coactions, + finite-typelits >=0.2.1 && <0.3, + random >=1.3.1 && <1.4, + terminal-size >=0.3.4 && <0.4, + vector-sized >=1.6.1 && <1.7, +executable higher-range + import: warnings + + if !flag(examples) + buildable: False + default-language: GHC2024 + hs-source-dirs: examples + main-is: HigherRange.hs + build-depends: + base, + comonad, + comonad-coactions, + finite-typelits >=0.2.1 && <0.3, + random >=1.3.1 && <1.4, + terminal-size >=0.3.4 && <0.4, + vector-sized >=1.6.1 && <1.7, + executable life import: warnings + if !flag(examples) buildable: False - default-language: GHC2021 + default-language: GHC2024 hs-source-dirs: examples main-is: Life.hs - ghc-options: -threaded -rtsopts -fplugin GHC.TypeLits.KnownNat.Solver + ghc-options: + -threaded + -rtsopts + -fplugin + GHC.TypeLits.KnownNat.Solver + build-depends: - comonad-coactions, - adjunctions >= 4.4.4 && < 4.5, - base >= 4.20.2 && < 4.21, - clock >= 0.8.4 && < 0.9, - comonad >= 5.0.10 && < 5.1, - constraints >= 0.14.4 && < 0.15, - distributive >= 0.6.3 && < 0.7, - finite-typelits >= 0.2.1 && < 0.3, - ghc-typelits-knownnat >= 0.8.2 && < 0.9, - ki >= 1.0.1 && < 1.1, - random >= 1.3.1 && < 1.4, - termbox-tea >= 1.0.0 && < 1.1, - vector-sized >= 1.6.1 && < 1.7, + adjunctions, + base, + clock >=0.8.4 && <0.9, + comonad, + comonad-coactions, + constraints >=0.14.4 && <0.15, + distributive >=0.6.3 && <0.7, + finite-typelits >=0.2.1 && <0.3, + ghc-typelits-knownnat >=0.8.3 && <0.9, + ki >=1.0.1 && <1.1, + monad-actions >=2.0.1 && <2.1, + mtl >=2.3.1 && <2.4, + optparse-applicative >=0.19.0 && <0.20, + random >=1.3.1 && <1.4, + termbox-tea >=1.0.0 && <1.1, + text >=2.1.2 && <2.2, + vector-sized >=1.6.1 && <1.7, test-suite comonad-coactions-test - import: warnings - default-language: GHC2021 - type: exitcode-stdio-1.0 - hs-source-dirs: test - main-is: Main.hs - build-depends: - base, - comonad, - comonad-coactions, - containers, - QuickCheck, - checkers, - tasty, - tasty-quickcheck + import: warnings + default-language: GHC2024 + type: exitcode-stdio-1.0 + hs-source-dirs: test + main-is: Main.hs + build-depends: + QuickCheck, + base, + checkers, + comonad, + comonad-coactions, + containers, + tasty, + tasty-quickcheck, diff --git a/examples/ElementaryCA.hs b/examples/ElementaryCA.hs --- a/examples/ElementaryCA.hs +++ b/examples/ElementaryCA.hs @@ -1,6 +1,6 @@ {-# LANGUAGE AllowAmbiguousTypes #-} +{-# LANGUAGE BlockArguments #-} {-# LANGUAGE DataKinds #-} -{-# LANGUAGE LambdaCase #-} {-# LANGUAGE PatternSynonyms #-} module Main where @@ -13,6 +13,7 @@ import Data.Bits import Data.Finite import Data.Vector.Sized qualified as V +import Data.Word import GHC.TypeLits import System.Console.Terminal.Size import System.IO @@ -41,30 +42,30 @@ {-# COMPLETE Store #-} -rule :: (KnownNat n) => Int -> V.Vector n Cell -> V.Vector n Cell +rule :: (KnownNat n) => Word8 -> V.Vector n Cell -> V.Vector n Cell rule rn = - rextend $ \(Store f i) -> + rextend \(Store f i) -> let i' = getFinite i nbhd = foldl ((+) . (* 2)) 0 $ fromEnum . f . modulo . (+ i') <$> [-1, 0, 1] in testBit rn nbhd -mainLoop :: forall n. Maybe (SNat n) -> Int -> IO () -mainLoop (Just sn) rn = withKnownNat sn $ +mainLoop :: forall n. Maybe (SNat n) -> Word8 -> IO () +mainLoop (Just SNat) rn = do x <- sequence . V.replicate @n $ randomIO forever $ go x where go x = do putStrLn $ cellsToString x - threadDelay 25000 + threadDelay 30_000 go $ rule rn x mainLoop Nothing _ = pure () main :: IO () main = do - putStr "Enter rule number: " + putStr "Enter rule number (0 to 255): " hFlush stdout ruleNumber <- readLn - Just Window {width} <- size + Just Window{width} <- size let loop = withSomeSNat width mainLoop loop ruleNumber diff --git a/examples/HigherRange.hs b/examples/HigherRange.hs new file mode 100644 --- /dev/null +++ b/examples/HigherRange.hs @@ -0,0 +1,73 @@ +{-# LANGUAGE AllowAmbiguousTypes #-} +{-# LANGUAGE BlockArguments #-} +{-# LANGUAGE DataKinds #-} +{-# LANGUAGE PatternSynonyms #-} + +module Main where + +import Control.Comonad.Coaction +import Control.Comonad.Identity +import Control.Comonad.Store +import Control.Concurrent +import Control.Monad +import Data.Bits +import Data.Finite +import Data.Vector.Sized qualified as V +import GHC.TypeLits +import System.Console.Terminal.Size +import System.IO +import System.Random + +type Cell = Bool + +pattern Off :: Cell +pattern Off = False + +pattern On :: Cell +pattern On = True + +{-# COMPLETE On, Off #-} + +cellToChar :: Cell -> Char +cellToChar = \case + Off -> ' ' + On -> '█' + +cellsToString :: (Foldable f) => f Cell -> String +cellsToString = foldr ((:) . cellToChar) "" + +pattern Store :: (s -> a) -> s -> Store s a +pattern Store a b = StoreT (Identity a) b + +{-# COMPLETE Store #-} + +rule :: (KnownNat n) => Integer -> Integer -> V.Vector n Cell -> V.Vector n Cell +rule radius rn = + rextend \(Store f i) -> + let i' = getFinite i + nbhd = foldl ((+) . (* 2)) 0 $ fromEnum . f . modulo . (+ i') <$> [-radius .. radius] + in testBit rn nbhd + +mainLoop :: forall n. Maybe (SNat n) -> Integer -> Integer -> IO () +mainLoop (Just SNat) radius rn = + do + x <- sequence . V.replicate @n $ randomIO + forever $ go x + where + go x = do + putStrLn $ cellsToString x + threadDelay 30_000 + go $ rule radius rn x +mainLoop Nothing _ _ = pure () + +main :: IO () +main = do + putStr "Enter radius: " + hFlush stdout + radius <- readLn + putStr $ "Enter rule number (from 0 to " ++ show @Integer (2 ^ (2 ^ (2 * radius + 1) :: Integer) - 1) ++ "): " + hFlush stdout + ruleNumber <- readLn + Just Window{width} <- size + let loop = withSomeSNat width mainLoop + loop radius ruleNumber diff --git a/examples/Life.hs b/examples/Life.hs --- a/examples/Life.hs +++ b/examples/Life.hs @@ -1,6 +1,7 @@ {-# LANGUAGE AllowAmbiguousTypes #-} +{-# LANGUAGE BlockArguments #-} {-# LANGUAGE DataKinds #-} -{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE MultiWayIf #-} {-# LANGUAGE PatternSynonyms #-} {-# LANGUAGE QualifiedDo #-} {-# LANGUAGE RecordWildCards #-} @@ -8,29 +9,41 @@ {-# LANGUAGE UndecidableInstances #-} {-# LANGUAGE ViewPatterns #-} {-# LANGUAGE NoStarIsType #-} -{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver -threaded -rtsopts #-} +{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver -threaded -with-rtsopts=-N -O2 #-} module Main (main) where +import Control.Applicative import Control.Comonad.Coaction -import Control.Comonad.Coaction.Right qualified as R +import Control.Comonad.Coaction.Right qualified as RC import Control.Comonad.Identity hiding ((<@>)) import Control.Comonad.Store hiding (pos, (<@>)) import Control.Concurrent import Control.Monad -import Data.Bifunctor +import Control.Monad.Action.Left qualified as LA +import Control.Monad.Action.Right qualified as RA +import Control.Monad.State +import Data.Bits +import Data.Char import Data.Constraint import Data.Distributive import Data.Finite import Data.Foldable +import Data.Functor ((<&>)) import Data.Functor.Rep +import Data.Maybe +import Data.Proxy +import Data.Text qualified as T import Data.Vector.Sized qualified as V +import Data.Word import GHC.TypeLits import Ki qualified +import Options.Applicative qualified as Opt import System.Clock import System.IO import System.Random hiding (Finite) import Termbox.Tea qualified as TB +import Text.Read hiding (get) import Prelude hiding (replicate) newtype Array2D (m :: Nat) (n :: Nat) a = Array2D {getArray2D :: V.Vector (m * n) a} @@ -48,7 +61,7 @@ instance (KnownNat m, KnownNat n) => Representable (Array2D m n) where type Rep (Array2D m n) = (Finite m, Finite n) - index Array2D {getArray2D} = index getArray2D . combineProduct + index Array2D{getArray2D} = index getArray2D . combineProduct tabulate f = Array2D . tabulate $ f . separateProduct replicate :: (KnownNat (m * n)) => a -> Array2D m n a @@ -57,114 +70,291 @@ imap :: (KnownNat m) => ((Finite m, Finite n) -> a -> b) -> Array2D m n a -> Array2D m n b imap f = Array2D . V.imap (f . separateProduct) . getArray2D -type Cell = Bool - -pattern Off :: Cell -pattern Off = False - -pattern On :: Cell -pattern On = True - -{-# COMPLETE On, Off #-} +type Cell = Word8 -cellArray :: (KnownNat m) => Array2D m n Cell -> TB.Image -cellArray = +cellArray :: (KnownNat m) => Settings -> Array2D m n Cell -> TB.Image +cellArray Settings{} = fold . imap - ( \(i, j) c -> - if c - then - TB.atRow (fromInteger $ getFinite i) - . TB.atCol (fromInteger $ 2 * getFinite j) - . ap mappend (TB.atCol 1) - $ TB.char '█' - else mempty - ) + \(i, j) c -> + case c of + 0 -> mempty + _ -> + TB.fg (TB.color . fromIntegral . (`mod` 216) . (+ 100) . (* 2) $ c) + . TB.atRow (fromInteger $ getFinite i) + . TB.atCol (fromInteger $ 2 * getFinite j) + . ap mappend (TB.atCol 1) + $ TB.char '█' pattern Store :: (s -> a) -> s -> Store s a pattern Store a b = StoreT (Identity a) b {-# COMPLETE Store #-} -life :: (KnownNat m, KnownNat n, KnownNat (m * n)) => Array2D m n Cell -> Array2D m n Cell -life = rextend $ \(Store grid (i, j)) -> - let s = - sum . fmap (fromEnum . grid . bimap modulo modulo) $ - (,) - <$> fmap (getFinite i +) [-1, 0, 1] - <*> fmap (getFinite j +) [-1, 0, 1] - in s == 3 || (s == 4 && grid (i, j)) +wrapBoundary :: forall m n. (KnownNat m, KnownNat n) => Surface -> Integer -> Integer -> Maybe (Finite m, Finite n) +wrapBoundary Rectangle a b = (,) <$> packFinite a <*> packFinite b +wrapBoundary Torus a b = Just (modulo a, modulo b) +wrapBoundary Cylinder a b = packFinite a <&> (,modulo b) +wrapBoundary Moebius a b = do + a' <- packFinite a + let b' = modulo b + Just (case packFinite @n b of Nothing -> -a'; _ -> a', b') +wrapBoundary Klein a b = + let a' = modulo a + b' = modulo b + in Just (case packFinite @n b of Nothing -> -a'; _ -> a', b') +wrapBoundary Projective a b = + let a' = modulo a + b' = modulo b + in Just (case packFinite @n b of Nothing -> -a'; _ -> a', case packFinite @m a of Nothing -> -b'; _ -> b') +wrapBoundary Sphere a b = + let m = natVal $ Proxy @m + a' = a `mod` (2 * m) + b' = b `mod` (2 * m) + in if + | a' < m && b' < m -> Just (modulo a', modulo b') + | a' >= m && b' < m -> Just (modulo b', modulo $ -a' - 1) + | a' < m && b' >= m -> Just (modulo $ -b' - 1, modulo a') + | otherwise -> Just (modulo $ -b' - 1, modulo $ -a' - 1) +life :: (KnownNat m, KnownNat n) => Settings -> Array2D m n Cell -> Array2D m n Cell +life Settings{rule = Rule{..}, ..} = rextend $ \s@(Store grid (i, j)) -> + let t = sum + $ LA.do + a <- [-radius .. radius] + b <- + let r = case neighbourhood of + Moore -> radius + VonNeumann -> radius - abs a + Circular -> ceiling @Double . sqrt . fromIntegral $ radius * radius - a * a + Cross -> if a == 0 then radius else 0 + Custom _ -> radius + in [-r .. r] + (a', b') <- wrapBoundary surface (getFinite i + fromIntegral a) (getFinite j + fromIntegral b) + let weight = case neighbourhood of + Custom c -> + let ix = (((radius - b) * (2 * radius + 1)) + radius - a) + centre = radius * (2 * radius + 1) + radius + in fromEnum $ ix /= centre && if ix < centre then c `testBit` ix else c `testBit` (ix - 1) + _ -> fromEnum $ (a, b) /= (0, 0) + pure @[] . (* weight) . fromEnum . (== 1) $ grid (a', b') + in case extract s of + 0 -> if birth `testBit` t then 1 else 0 + 1 -> if survival `testBit` t then 1 else 2 `mod` nStates + x -> succ x `mod` nStates + data SomeBoard where SomeBoard :: (KnownNat m, KnownNat n) => SNat m -> SNat n -> Array2D m n Cell -> SomeBoard data LifeState = LifeState { board :: !SomeBoard, running :: !Bool, time :: !TimeSpec, - done :: !Bool, + finished :: !Bool, delay :: !TimeSpec, drawing :: !(Maybe Cell), steps :: !Int } +data Neighbourhood = Moore | VonNeumann | Circular | Cross | Custom Integer + +data Surface = Torus | Cylinder | Rectangle | Moebius | Klein | Projective | Sphere + +data Rule = Rule + { birth :: !Integer, + survival :: !Integer, + nStates :: !Word8, + neighbourhood :: !Neighbourhood, + radius :: !Int + } + +data Settings = Settings + { rule :: Rule, + surface :: !Surface + } + snatDict :: SNat n -> Dict (KnownNat n) snatDict sn = withKnownNat sn Dict -initialize :: TimeSpec -> TB.Size -> LifeState -initialize time = \TB.Size {width, height} -> - withSomeSNat (fromIntegral $ width `div` 2) $ - withSomeSNat (fromIntegral height) $ - \case - Nothing -> error "Unknown nat" - Just sm -> \case +initialize :: Settings -> TimeSpec -> TB.Size -> LifeState +initialize Settings{..} time TB.Size{width, height} = + let h = fromIntegral height + w = fromIntegral $ width `div` 2 + (h', w') = case surface of + Sphere -> (min h w, min h w) + _ -> (h, w) + in withSomeSNat w' + $ withSomeSNat h' + $ \case Nothing -> error "Unknown nat" - Just sn -> case (snatDict sm, snatDict sn) of - (Dict, Dict) -> - LifeState - { board = SomeBoard sm sn $ replicate Off, - running = True, - time, - done = False, - delay = TimeSpec {sec = 0, nsec = 100_000_000}, - drawing = Nothing, - steps = 0 - } + Just sm -> \case + Nothing -> error "Unknown nat" + Just sn -> case (snatDict sm, snatDict sn) of + (Dict, Dict) -> + LifeState + { board = SomeBoard sm sn $ replicate 0, + running = False, + time, + finished = False, + delay = TimeSpec{sec = 0, nsec = 100_000_000}, + drawing = Nothing, + steps = 0 + } pollEvent :: MVar TimeSpec -> Maybe (IO TimeSpec) pollEvent m = Just $ takeMVar m -handleEvent :: LifeState -> TB.Event TimeSpec -> IO LifeState -handleEvent s@(LifeState {board = SomeBoard (sm :: SNat m) (sn :: SNat n) b, ..}) = +handleEvent :: Settings -> LifeState -> TB.Event TimeSpec -> IO LifeState +handleEvent settings@Settings{rule = Rule{..}} s@(LifeState{board = SomeBoard (sm :: SNat m) (sn :: SNat n) b, ..}) = \case TB.EventKey (TB.KeyChar 'r') -> do - randomBoard <- sequence $ replicate randomIO - pure $ s {board = SomeBoard sm sn randomBoard, steps = 0} - TB.EventKey (TB.KeyChar 'c') -> pure $ s {board = SomeBoard sm sn $ replicate Off, steps = 0} - TB.EventKey (TB.KeyChar 'q') -> pure $ s {done = True} - TB.EventKey (TB.KeyChar '+') -> pure $ s {delay = max 0 $ delay - TimeSpec {sec = 0, nsec = 20_000_000}} - TB.EventKey (TB.KeyChar '-') -> pure $ s {delay = delay + TimeSpec {sec = 0, nsec = 20_000_000}} - TB.EventKey TB.KeySpace -> pure $ s {running = not running} - TB.EventMouse TB.Mouse {button = TB.LeftClick, pos = TB.Pos {..}} -> + randomBoard <- sequence . replicate $ fmap (`mod` 2) randomIO + pure $ s{board = SomeBoard sm sn randomBoard, steps = 0} + TB.EventKey (TB.KeyChar 'c') -> pure s{board = SomeBoard sm sn $ replicate 0, running = False, steps = 0} + TB.EventKey (TB.KeyChar 'q') -> pure s{finished = True} + TB.EventKey (TB.KeyChar '+') -> pure s{delay = max 0 $ delay - TimeSpec{sec = 0, nsec = 20_000_000}} + TB.EventKey (TB.KeyChar '-') -> pure s{delay = delay + TimeSpec{sec = 0, nsec = 20_000_000}} + TB.EventKey TB.KeySpace -> pure s{running = not running} + TB.EventMouse TB.Mouse{button = TB.LeftClick, pos = TB.Pos{..}} -> let r = modulo $ fromIntegral row c = modulo $ fromIntegral $ col `div` 2 in case drawing of Nothing -> - let b' = b R.=>> \(Store grid (i, j)) -> if (i, j) == (r, c) then not $ grid (i, j) else grid (i, j) - in pure s {board = SomeBoard sm sn b', drawing = Just $ index b' (r, c)} + let b' = b RC.=>> \(Store grid (i, j)) -> if (i, j) == (r, c) then (grid (i, j) + 1) `mod` nStates else grid (i, j) + in pure s{board = SomeBoard sm sn b', drawing = Just $ index b' (r, c)} Just cell -> - let b' = b R.=>> \(Store grid (i, j)) -> if (i, j) == (r, c) then cell else grid (i, j) - in pure s {board = SomeBoard sm sn b'} - TB.EventMouse TB.Mouse {button = TB.ReleaseClick} -> pure s {drawing = Nothing} - TB.EventUser t -> if t - time >= delay && running then pure s {board = SomeBoard sm sn $ life b, time = t, steps = steps + 1} else pure s + let b' = b RC.=>> \(Store grid (i, j)) -> if (i, j) == (r, c) then cell else grid (i, j) + in pure s{board = SomeBoard sm sn b'} + TB.EventMouse TB.Mouse{button = TB.ReleaseClick} -> pure s{drawing = Nothing} + TB.EventUser t -> if t - time >= delay && running then pure s{board = SomeBoard sm sn $ life settings b, time = t, steps = steps + 1} else pure s _ -> pure s -render :: LifeState -> TB.Scene -render = TB.image . (\(SomeBoard _ _ b) -> cellArray b) . board +render :: Settings -> LifeState -> TB.Scene +render settings = TB.image . (\(SomeBoard _ _ b) -> cellArray settings b) . board +type Parser = StateT T.Text Maybe + +getT :: Parser T.Text +getT = get + +putT :: T.Text -> Parser () +putT = put + +satisfy :: (Char -> Bool) -> Parser Char +satisfy p = LA.do + t <- getT + (c, t') <- T.uncons t + putT t' + if p c then pure c else empty + +parseChar :: Char -> Parser () +parseChar = void . satisfy . (==) + +parseNat :: (Integral a, Read a) => Parser a +parseNat = LA.do + d <- some $ satisfy isDigit + n <- readMaybe d + pure $ fromInteger n + +parseRange :: (Integral a, Read a) => Parser [a] +parseRange = LA.do + m <- some (satisfy isDigit) RA.>>= readMaybe + parseChar '-' + n <- some (satisfy isDigit) RA.>>= readMaybe + pure [fromInteger m .. fromInteger n] + +eof :: Parser () +eof = do + t <- getT + unless (T.null t) empty + +sepBy :: Parser a -> Parser b -> Parser [b] +sepBy sep p = liftM2 (:) p (many (sep *> p)) <|> pure [] + +parseNbhd :: Parser Neighbourhood +parseNbhd = + (Moore <$ parseChar 'M') + <|> (VonNeumann <$ parseChar 'N') + <|> (Circular <$ parseChar 'C') + <|> (Cross <$ parseChar '+') + <|> ( LA.do + parseChar '@' + s <- ("0x" ++) <$> many (satisfy isHexDigit) + n <- readMaybe s + pure $ Custom n + ) + +-- | Higher-range outer totalistic notation for larger than life rules. +parseHROT :: Parser Rule +parseHROT = do + parseChar 'R' + radius <- parseNat + parseChar ',' + parseChar 'C' + nStates <- parseNat + parseChar ',' + parseChar 'S' + survival <- fmap (sum . fmap bit . join) . sepBy (parseChar ',') $ parseRange <|> fmap pure parseNat + parseChar ',' + parseChar 'B' + birth <- fmap (sum . fmap bit . join) . sepBy (parseChar ',') $ parseRange <|> fmap pure parseNat + neighbourhood <- optional $ parseChar ',' *> parseChar 'N' *> parseNbhd + eof + pure Rule{neighbourhood = fromMaybe Moore neighbourhood, ..} + +-- Birth/survival/states for generations rules. +parseBSC :: Parser Rule +parseBSC = do + parseChar 'B' + birth <- fmap (sum . fmap (bit . subtract (fromEnum '0') . fromEnum)) $ many $ satisfy isDigit + parseChar '/' + parseChar 'S' + survival <- fmap (sum . fmap (bit . subtract (fromEnum '0') . fromEnum)) $ many $ satisfy isDigit + nStates <- fmap (fromMaybe 2) . optional $ parseChar '/' >> optional (parseChar 'C') >> parseNat + eof + pure Rule{neighbourhood = Moore, radius = 1, ..} + +-- Survival/birth/states for generations rules. +parseSBC :: Parser Rule +parseSBC = do + survival :: Integer <- fmap (sum . fmap (bit . subtract (fromEnum '0') . fromEnum)) $ many $ satisfy isDigit + parseChar '/' + birth <- fmap (sum . fmap (bit . subtract (fromEnum '0') . fromEnum)) $ many $ satisfy isDigit + nStates <- fmap (fromMaybe 2) . optional $ parseChar '/' >> parseNat + eof + pure Rule{neighbourhood = Moore, radius = 1, ..} + +parseRulestring :: Parser Rule +parseRulestring = parseHROT <|> parseBSC <|> parseSBC + +parseSettings :: Opt.ParserInfo (Maybe T.Text, Maybe Surface) +parseSettings = + let parser = + (,) + <$> ( optional . Opt.strOption + $ Opt.short 'r' <> Opt.long "rule" <> Opt.metavar "RULESTRING" <> Opt.help "Rule string" + ) + <*> Opt.optional + ( Opt.flag' Rectangle (Opt.long "rectangle" <> Opt.help "Run cellular automaton in a rectangle (topologically a disk)") + <|> Opt.flag' Torus (Opt.long "torus" <> Opt.help "Run cellular automaton in a torus") + <|> Opt.flag' Cylinder (Opt.long "cylinder" <> Opt.help "Run cellular automaton in a cylinder") + <|> Opt.flag' Moebius (Opt.long "moebius" <> Opt.help "Run cellular automaton in a Moebius strip") + <|> Opt.flag' Klein (Opt.long "klein" <> Opt.help "Run cellular automaton in a Klein bottle") + <|> Opt.flag' Projective (Opt.long "projective" <> Opt.help "Run cellular automaton in a real projective plane with singular points at the corners (orbifold symbol 22×)") + <|> Opt.flag' Sphere (Opt.long "sphere" <> Opt.help "Run cellular automaton in a sphere with singular points at the corners (orbifold symbol 442)") + ) + in Opt.info (parser Opt.<**> Opt.helper) (Opt.fullDesc <> Opt.progDesc "Larger than life cellular automaton") + main :: IO () main = do + (mRulestring, mSurface) <- Opt.execParser parseSettings + let rule = case mRulestring of + Nothing -> Rule{radius = 1, neighbourhood = Moore, birth = 8, survival = 12, nStates = 2} -- Default rule: Conway's life + Just rulestring -> fromMaybe (error "Failed to parse rulestring") $ evalStateT parseRulestring rulestring + let surface = fromMaybe Rectangle mSurface t0 <- getTime Monotonic + let settings = + Settings{..} result <- Ki.scoped $ \scope -> do timeVar <- newEmptyMVar @@ -175,12 +365,12 @@ >>= putMVar timeVar TB.run TB.Program - { initialize = initialize t0, + { initialize = initialize settings t0, pollEvent = pollEvent timeVar, - handleEvent, - render, - finished = done + handleEvent = handleEvent settings, + render = render settings, + finished } case result of Left err -> hPutStrLn stderr $ "Failed to initialize: " ++ show err - Right LifeState {steps} -> putStrLn $ "Ran for " ++ show steps ++ " steps" + Right LifeState{steps} -> putStrLn $ "Ran for " ++ show steps ++ " steps" diff --git a/src/Control/Comonad/Coaction.hs b/src/Control/Comonad/Coaction.hs --- a/src/Control/Comonad/Coaction.hs +++ b/src/Control/Comonad/Coaction.hs @@ -2,20 +2,29 @@ {-# LANGUAGE LambdaCase #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE UndecidableInstances #-} +{-# OPTIONS_HADDOCK show-extensions #-} --- | Given a comonad \(W\) on a category \(\mathcal{D}\) with counit \(\varepsilon\) and --- comultiplication \(\Delta\) and a functor \(F\) from \(\mathcal{C}\) to \(\mathcal{D}\), --- a left (or outer) comonad coaction of \(W\) on \(F\) is a natural transformation --- \(\Sigma: F \to W \circ F\) such that the following two laws hold: --- --- * \((\varepsilon \circ F) \cdot \Sigma = \mathrm{id}_F\) --- * \((\Delta \circ F) \cdot \Sigma = (W \circ \Sigma) \cdot \Sigma\) --- --- We also say that \(F\) is a left comodule over \(W\). In the case --- \(\mathcal{C} = \mathcal{D}\), a left comonad comodule is a left comonoid comodule --- object in the category of endofunctors on \(\mathcal{C}\). --- --- Right (or inner) comonad coactions are defined similarly. +{-| +Module : Control.Comonad.Coaction +Description : comonad coactions +Copyright : © noiioiu +License : LGPL-2 +Maintainer : noiioiu@cocaine.ninja +Stability : experimental + +Given a comonad \(W\) on a category \(\mathcal{D}\) with counit \(\varepsilon\) and +comultiplication \(\Delta\) and a functor \(F\) from \(\mathcal{C}\) to \(\mathcal{D}\), +a left (or outer) comonad coaction of \(W\) on \(F\) is a natural +transformation \(\Sigma: F \to W \circ F\) such that the following two laws hold: + +* \((\varepsilon \circ F) \cdot \Sigma = \mathrm{id}_F\) +* \((\Delta \circ F) \cdot \Sigma = (W \circ \Sigma) \cdot \Sigma\) + +We also say that \(F\) is a left comodule over \(W\). In the +case \(\mathcal{C} = \mathcal{D}\), a left comonad comodule is a left comonoid +comodule object in the category of endofunctors on \(\mathcal{C}\). Right +(or inner) comonad coactions are defined similarly. +-} module Control.Comonad.Coaction ( LeftComodule (..), RightComodule (..), @@ -38,11 +47,12 @@ import Data.Functor.Rep (Representable (..)) import Data.Functor.Sum (Sum (..)) --- | Instances must satisfy the following laws: --- --- * @'duplicate' '.' 'lduplicate' = 'fmap' 'lduplicate' '.' 'lduplicate'@ --- --- * @'extract' '.' 'lduplicate' = 'id'@ +{-| Instances must satisfy the following laws: + +* @'duplicate' '.' 'lduplicate' = 'fmap' 'lduplicate' '.' 'lduplicate'@ + +* @'extract' '.' 'lduplicate' = 'id'@ +-} class (Comonad w, Functor f) => LeftComodule w f where lduplicate :: f a -> @@ -53,11 +63,12 @@ lextend f = fmap f . lduplicate {-# MINIMAL lduplicate | lextend #-} --- | Instances must satisfy the following laws: --- --- * @'fmap' 'duplicate' '.' 'rduplicate' = 'rduplicate' '.' 'rduplicate'@ --- --- * @'fmap' 'extract' '.' 'lduplicate' = 'id'@ +{-| Instances must satisfy the following laws: + +* @'fmap' 'duplicate' '.' 'rduplicate' = 'rduplicate' '.' 'rduplicate'@ + +* @'fmap' 'extract' '.' 'lduplicate' = 'id'@ +-} class (Comonad w, Functor f) => RightComodule w f where rduplicate :: f a -> @@ -68,10 +79,11 @@ rextend f = fmap f . rduplicate {-# MINIMAL rduplicate | rextend #-} --- | Given two comonads r and s, an (r, s) bicomodule is a functor that is a left comodule over r and a right comodule over s, where the two coactions are compatible. --- Instances must satisfy the following law in addition to the laws for @'LeftComodule'@ and @'RightComodule'@: --- --- * @'lduplicate' '.' 'rduplicate' = 'fmap' 'rduplicate' '.' 'lduplicate' = 'biduplicate'@ +{-| Given two comonads @r@ and @s@, an @(r, s)@ bicomodule is a functor that is a left comodule over @r@ and a right comodule over @s@, where the two coactions are compatible. + Instances must satisfy the following law in addition to the laws for @'LeftComodule'@ and @'RightComodule'@: + +* @'lduplicate' '.' 'rduplicate' = 'fmap' 'rduplicate' '.' 'lduplicate' = 'biduplicate'@ +-} class (LeftComodule r f, RightComodule s f) => BiComodule r s f where biduplicate :: f a -> @@ -98,28 +110,29 @@ instance {-# INCOHERENT #-} (Comonad s, Comonad t, Functor f, LeftComodule s u, RightComodule t v) => BiComodule s t (Compose u (Compose f v)) --- | Proof that @f@ is always a left comodule over @t'Density' f@: --- --- * @ 'duplicate' ('lduplicate' w) --- = 'duplicate' ('Density' 'id' w) --- = 'Density' ('Density' 'id') w --- = 'Density' 'lduplicate' w --- = 'fmap' 'lduplicate' ('Density' 'id' w) --- = 'fmap' 'lduplicate' ('lduplicate' w)@ --- --- * @'extract' ('lduplicate' w) = 'extract' ('Density' 'id' w) = w@ +{-| Proof that @f@ is always a left comodule over @t'Density' f@: + + * @ 'duplicate' ('lduplicate' w) + = 'duplicate' ('Density' 'id' w) + = 'Density' ('Density' 'id') w + = 'Density' 'lduplicate' w + = 'fmap' 'lduplicate' ('Density' 'id' w) + = 'fmap' 'lduplicate' ('lduplicate' w)@ + + * @'extract' ('lduplicate' w) = 'extract' ('Density' 'id' w) = w@ +-} instance (Functor f) => LeftComodule (Density f) f where lduplicate = Density id -instance {-# OVERLAPS #-} (Comonad q, Comonad w, ComonadTransStack w q) => LeftComodule w q where +instance {-# INCOHERENT #-} (Comonad q, Comonad w, ComonadTransStack w q) => LeftComodule w q where lduplicate = lowerStack . duplicate lextend f = lowerStack . extend f -instance {-# OVERLAPS #-} (Comonad q, Comonad w, ComonadTransStack w q) => RightComodule w q where +instance {-# INCOHERENT #-} (Comonad q, Comonad w, ComonadTransStack w q) => RightComodule w q where rduplicate = lextend lowerStack rextend f = extend $ f . lowerStack -instance {-# OVERLAPS #-} (Comonad q, Comonad w, ComonadTransStack w q) => BiComodule w w q +instance {-# INCOHERENT #-} (Comonad q, Comonad w, ComonadTransStack w q) => BiComodule w w q instance {-# INCOHERENT #-} (ComonadStore s w) => LeftComodule (Store s) w where lduplicate = liftM2 store (flip peek) pos . duplicate diff --git a/src/Control/Comonad/Coaction/Left.hs b/src/Control/Comonad/Coaction/Left.hs --- a/src/Control/Comonad/Coaction/Left.hs +++ b/src/Control/Comonad/Coaction/Left.hs @@ -1,5 +1,14 @@ --- | Operators for left comonad coactions. --- This module should be imported qualified. +{-| +Module : Control.Comonad.Coaction.Left +Description : operators for left comonad coactions +Copyright : © noiioiu +License : LGPL-2 +Maintainer : noiioiu@cocaine.ninja +Stability : experimental + +Operators for left comonad coactions. +This module should be imported qualified. +-} module Control.Comonad.Coaction.Left ( (<<=), (=>>), diff --git a/src/Control/Comonad/Coaction/Right.hs b/src/Control/Comonad/Coaction/Right.hs --- a/src/Control/Comonad/Coaction/Right.hs +++ b/src/Control/Comonad/Coaction/Right.hs @@ -1,7 +1,14 @@ -{-# LANGUAGE MonoLocalBinds #-} +{-| +Module : Control.Comonad.Coaction.Right +Description : operators for right comonad coactions +Copyright : © noiioiu +License : LGPL-2 +Maintainer : noiioiu@cocaine.ninja +Stability : experimental --- | Operators for left comonad coactions. --- This module should be imported qualified. +Operators for left comonad coactions. +This module should be imported qualified. +-} module Control.Comonad.Coaction.Right ( (<<=), (=>>), diff --git a/src/Control/Comonad/Coaction/TH.hs b/src/Control/Comonad/Coaction/TH.hs --- a/src/Control/Comonad/Coaction/TH.hs +++ b/src/Control/Comonad/Coaction/TH.hs @@ -1,7 +1,13 @@ -{-# LANGUAGE LambdaCase #-} {-# LANGUAGE TemplateHaskellQuotes #-} {-# LANGUAGE TypeData #-} +{-| +Module : Control.Comonad.Coaction.TH +Copyright : © noiioiu +License : LGPL-2 +Maintainer : noiioiu@cocaine.ninja +Stability : experimental +-} module Control.Comonad.Coaction.TH (mkLowerBy) where import Control.Comonad @@ -60,8 +66,8 @@ let inductiveInstances = instances >>= \case InstanceD ov ct (AppT (ConT _) t) _ -> - pure $ - InstanceD + pure + $ InstanceD ov (ct ++ [ConT (mkName "LowerBy") # VarT k # VarT w # VarT q, ConT ''Comonad # (t # VarT q)]) (ConT (mkName "LowerBy") # (ConT (mkName "S") # VarT k) # VarT w # (t # VarT q)) diff --git a/src/Control/Comonad/TransformerStack.hs b/src/Control/Comonad/TransformerStack.hs --- a/src/Control/Comonad/TransformerStack.hs +++ b/src/Control/Comonad/TransformerStack.hs @@ -5,6 +5,14 @@ {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE UndecidableInstances #-} +{-| +Module : Control.Comonad.TransformerStack +Description : stacks of comonad transformers +Copyright : © noiioiu +License : LGPL-2 +Maintainer : noiioiu@cocaine.ninja +Stability : experimental +-} module Control.Comonad.TransformerStack (ComonadTransStack (..)) where import Control.Comonad.Coaction.TH @@ -16,19 +24,20 @@ $mkLowerBy --- | All @'ComonadTransStack'@ instances are defined inductively using @'Control.Comonad.Trans.Class.ComonadTrans'@ instances. --- --- No laws are given in the documentation for @'Control.Comonad.Trans.Class.ComonadTrans'@, --- but all instances should satisfy the following laws, dual to the laws for --- @'Control.Monad.Trans.Class.MonadTrans'@, which state that @'Control.Comonad.Trans.Class.lower'@ is a comonad homomorphism: --- --- * @'Control.Comonad.extract' '.' 'Control.Comonad.Trans.Class.lower' = 'Control.Comonad.extract'@ --- --- * @'Control.Comonad.duplicate' '.' 'Control.Comonad.Trans.Class.lower' = 'Control.Comonad.Trans.Class.lower' '.' 'fmap' 'Control.Comonad.Trans.Class.lower' . 'Control.Comonad.duplicate'@ --- --- It follows by induction that @'lowerStack'@ is a comonad homomorphism. --- The proofs of the comodule laws may be obtained by looking at the corresponding --- proofs of the module laws in a mirror. +{-| All @'ComonadTransStack'@ instances are defined inductively using @'Control.Comonad.Trans.Class.ComonadTrans'@ instances. + + No laws are given in the documentation for @'Control.Comonad.Trans.Class.ComonadTrans'@, + but all instances should satisfy the following laws, dual to the laws for + @'Control.Monad.Trans.Class.MonadTrans'@, which state that @'Control.Comonad.Trans.Class.lower'@ is a comonad homomorphism: + + * @'Control.Comonad.extract' '.' 'Control.Comonad.Trans.Class.lower' = 'Control.Comonad.extract'@ + + * @'Control.Comonad.duplicate' '.' 'Control.Comonad.Trans.Class.lower' = 'Control.Comonad.Trans.Class.lower' '.' 'fmap' 'Control.Comonad.Trans.Class.lower' . 'Control.Comonad.duplicate'@ + + It follows by induction that @'lowerStack'@ is a comonad homomorphism. + The proofs of the comodule laws may be obtained by looking at the corresponding + proofs of the module laws in a mirror. +-} class (LowerBy (Steps w q) w q) => ComonadTransStack w q where lowerStack :: forall a. q a -> w a diff --git a/test/Main.hs b/test/Main.hs --- a/test/Main.hs +++ b/test/Main.hs @@ -1,5 +1,4 @@ {-# LANGUAGE AllowAmbiguousTypes #-} -{-# LANGUAGE MonoLocalBinds #-} {-# LANGUAGE ScopedTypeVariables #-} {-# OPTIONS_GHC -Wno-orphans #-} {-# OPTIONS_GHC -Wno-unrecognised-pragmas #-} @@ -191,8 +190,8 @@ main :: IO () main = defaultMain - ( testGroup "monad action laws" $ - uncurry testProperties + ( testGroup "monad action laws" + $ uncurry testProperties <$> [ leftcomodule @NE.NonEmpty @(Compose NE.NonEmpty Maybe) @Int, rightcomodule @NE.NonEmpty @(Compose Maybe NE.NonEmpty) @Int, rightcomodulestore @NE.NonEmpty @Bool @Int,