module Main where --import System.Random import Control.Monad import System.Process import System.Random import System.Console.GetOpt import System.Environment(getArgs, getProgName) import Data.Maybe (fromMaybe) ------------------- -- comonad class -- ------------------- class Functor w => Comonad w where (=>>) :: w a -> (w a -> b) -> w b extract :: w a -> a duplicate :: w a -> w (w a) x =>> f = fmap f (duplicate x) ------------ -- spaces -- ------------ -- a locally focussed space data Space t = Space [t] t [t] -- spaces are also functors instance Functor Space where fmap f (Space l c r) = Space (map f l) (f c) (map f r) -- our space is a comonad instance Comonad Space where -- duplicate will create a new space where -- the focussed element is our original space -- and each side is increasingly shifted copies -- in that direction duplicate w = Space (tail $ iterate left w) w (tail $ iterate right w) -- extract simply returns the focussed element extract (Space _ c _) = c -- functions for moving the point -- of locality. -- todo: question the empty list cases -- most spaces should be infinite right :: Space t -> Space t right s@(Space l c []) = s right (Space l c (r:rs)) = Space (c:l) r rs left :: Space t -> Space t left s@(Space [] c r) = s left (Space (l:ls) c r) = Space ls l (c:r) -- bound will take an infinite space -- and bound it by i and j on each side -- (not including the focus) and -- turn it into a list for printing bound :: Int -> Int -> Space t -> [t] bound i j (Space l c r) = (reverse (take i l)) ++ (c:(take j r)) -- boundw works as above, but the -- entire list will be the size -- given boundw :: Int -> Space t -> [t] boundw n = bound (x-m) x where o = if odd n then 1 else 0 m = if even n then 1 else 0 x = (n - o) `div` 2 ----------------------- -- cellular automata -- ----------------------- -- the states our cells can be in -- may need to provide an ordering -- may need to generalise the number -- of states data CellState = Alive | Dead deriving Eq -- how the states are displayed on screen -- this should probably be input to a function -- rather than hardcoded instance Show CellState where show Alive = "█" show Dead = " " -- a rule stating how a cell is determined rule :: Space CellState -> CellState rule (Space (l:_) _ (r:_)) | l == r = Dead | otherwise = Alive -- a second rule for example rule2 :: Space CellState -> CellState rule2 (Space (l1:l2:_) m (r1:r2:_)) | m == Alive && numAlive == 1 = Dead | m == Alive && numAlive == 4 = Dead | m == Dead && numAlive == 3 = Alive | otherwise = m where ns = [l1, l2, r1, r2] numAlive = length $ filter (== Alive) ns rule3 :: Space CellState -> CellState rule3 (Space (l:_) m (r:_)) | l == r = m | otherwise = if m == Alive then Dead else Alive -- take a space and a rule and -- return the next space step :: (Space t -> t) -> Space t -> Space t step f w = w =>> f --------------- -- rng stuff -- --------------- -- takes a generator and returns -- an infinite list of bools ilobs :: StdGen -> [Bool] ilobs rng = b : (ilobs r) where (b,r) = random rng ----------------- -- gross io bs -- ----------------- -- everything below this line deals with -- input/output, and is therefore gross -- i will clean this up one day, but it -- hurts my soul. ------------------------ -- command line flags -- ------------------------ -- structure containing the programs options data Options = Options { optWidth :: Int , optGenerations :: Int } deriving Show -- the default options for the program -- the width and generations are injected -- and intended to be gotten at runtime -- to match the window dimensions defaultOptions :: Int -> Int -> Options defaultOptions w h = Options { optWidth = w , optGenerations = h } -- the avaliable options options :: [OptDescr (Options -> Options)] options = [ Option ['w'] ["width"] (ReqArg (\w opts -> opts { optWidth = (read w) }) "WIDTH") "term width" , Option ['g'] ["generations"] (ReqArg (\t opts -> opts { optGenerations = (read t) }) "GENERATIONS") "time steps to simulate" ] -- parse the options into the structure -- erroring if encountering a flag not known to us parseArgs :: IO Options parseArgs = do argv <- getArgs progName <- getProgName tw <- readProcess "tput" [ "cols" ] "" th <- readProcess "tput" [ "lines" ] "" case getOpt RequireOrder options argv of (opts, [], []) -> return (foldl (flip id) (defaultOptions (read tw) (read th)) opts) (_, _, errs) -> ioError (userError (concat errs ++ helpMessage)) where header = "Usage: " ++ progName ++ " [OPTION...]" helpMessage = usageInfo header options --------------- -- main loop -- --------------- -- simply print the current space, then recurse to the next runAutomata :: Space CellState -> Int -> Int -> IO () runAutomata s 0 w = putStrLn $ concat $ map show $ boundw w s runAutomata s n w = do putStrLn $ concat $ map show $ boundw w s runAutomata (step rule s) (n - 1) w main :: IO () main = do options <- parseArgs rng <- getStdGen let cs = map (\x -> if x then Alive else Dead) $ ilobs rng let w = (optWidth options) let h = (optGenerations options) let wh = (w + 1) `div` 2 let m = head cs let l = take wh $ drop 1 cs let r = take wh $ drop wh $ drop 1 cs let s = Space (l ++ (repeat Dead)) m (r ++ (repeat Dead)) -- non-random starting position for rule3 (the serpinski triangle) --let s = Space (repeat Dead) Alive (repeat Dead) runAutomata s h w