Generalized to play on a n x n board
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TicTacToe.hs
119
TicTacToe.hs
@ -5,20 +5,24 @@
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A solution to rubyquiz 11 (http://rubyquiz.com/quiz11.html).
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Usage: ./TicTacToe board_size training_time
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Copyright 2012 Abhinav Sarkar <abhinav@abhinavsarkar.net>
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-}
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{-# LANGUAGE BangPatterns #-}
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{-# LANGUAGE BangPatterns, RecordWildCards #-}
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module Main where
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import qualified Data.Map as M
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import Control.Monad.State (State, get, put, runState, evalState)
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import Data.List (sort, nub, maximumBy)
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import Data.List.Split (chunk)
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import Data.Ord (comparing)
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import System.Random (Random, StdGen, randomR, newStdGen, split)
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import System.Environment (getArgs)
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import System.IO (hSetBuffering, stdin, stdout, BufferMode(..))
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import Control.Monad.State (State, get, put, runState, evalState)
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import qualified Data.Map as M
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import System.Random (Random, StdGen, randomR, newStdGen, split)
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import Text.Printf (printf)
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-- Randomness setup
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@ -45,9 +49,9 @@ data Move = Nought | Cross deriving (Eq, Ord)
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data CellState = Filled Move | Empty deriving (Eq, Ord)
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data Cell = Cell {cellPos :: Int, cellState :: CellState} deriving (Eq, Ord)
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data Cell = Cell { cellPos :: Int, cellState :: CellState } deriving (Eq, Ord)
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type Board = [Cell]
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data Board = Board { boardSize :: Int, boardCells :: [Cell] } deriving (Eq, Ord)
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type Run = [Board]
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@ -73,50 +77,62 @@ otherResult Draw = Draw
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otherResult Loss = Win
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otherResult Win = Loss
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emptyBoard :: Board
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emptyBoard = map (flip Cell Empty) [0..8]
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emptyBoard :: Int -> Board
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emptyBoard boardSize =
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Board boardSize $ map (flip Cell Empty) [0..(boardSize * boardSize - 1)]
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printBoard :: Board -> IO ()
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printBoard board = putStrLn "" >> (mapM_ print . chunk 3 $ board)
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printBoard Board{..} = putStrLn "" >> (mapM_ print . chunk boardSize $ boardCells)
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makeMove :: Int -> Move -> Board -> Board
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makeMove pos move board =
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let (l, r) = splitAt pos board
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in l ++ [Cell pos (Filled move)] ++ tail r
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makeMove pos move board@Board{..} =
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let (l, r) = splitAt pos boardCells
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in board { boardCells = l ++ [Cell pos (Filled move)] ++ tail r }
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diags :: Board -> [[Cell]]
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diags board =
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[[board !! 0, board !! 4, board !! 8],
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[board !! 2, board !! 4, board !! 6]]
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diags Board{..} =
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[map (boardCells !!) . take boardSize . iterate (+ (boardSize + 1)) $ 0,
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map (boardCells !!) . take boardSize . iterate (+ (boardSize - 1)) $ (boardSize - 1)]
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nextBoards :: Move -> Board -> [(Int, Board)]
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nextBoards move board =
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nextBoards move board@Board{..} =
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map ((\p -> (p, makeMove p move board)) . cellPos)
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$ filter (\c -> cellState c == Empty) board
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$ filter (\c -> cellState c == Empty) boardCells
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isWin :: Move -> Board -> Bool
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isWin move board =
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or [any isStrike $ chunk 3 $ map cellState board,
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any isStrike $ chunk 3 $ map cellState $ rotateBoard board,
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any isStrike $ map (map cellState) $ diags board]
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or [any isStrike . chunk size . map cellState . boardCells $ board,
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any isStrike . chunk size . map cellState . boardCells . rotateBoard $ board,
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any isStrike . map (map cellState) . diags $ board]
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where
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isStrike = (== replicate 3 (Filled move))
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size = boardSize board
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isStrike = (== replicate size (Filled move))
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result :: Move -> Board -> Result
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result move board
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| isWin move board = Win
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| isWin (otherMove move) board = Loss
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| Empty `elem` map cellState board = Unfinished
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| otherwise = Draw
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| isWin move board = Win
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| isWin (otherMove move) board = Loss
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| Empty `elem` (map cellState . boardCells $ board) = Unfinished
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| otherwise = Draw
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translateBoard :: [Int] -> Board -> Board
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translateBoard idxs board =
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map (\(i, ri) -> Cell i $ cellState $ board !! ri) $ zip [0..8] idxs
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translateBoard idxs board@Board{..} =
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board { boardCells =
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map (\(i, ri) -> Cell i . cellState $ boardCells !! ri)
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$ zip [0..(boardSize * boardSize - 1)] idxs }
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rotateBoard, xMirrorBoard, yMirrorBoard :: Board -> Board
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rotateBoard = translateBoard [6,3,0,7,4,1,8,5,2]
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xMirrorBoard = translateBoard [2,1,0,5,4,3,8,7,6]
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yMirrorBoard = translateBoard [6,7,8,3,4,5,0,1,2]
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rotateBoard board@Board{..} =
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translateBoard
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(let xs = reverse . chunk boardSize $ [0..(boardSize * boardSize - 1)]
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in concatMap (\i -> map (!! i ) xs) [0..(boardSize - 1)])
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board
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xMirrorBoard board@Board{..} =
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translateBoard
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(concatMap reverse . chunk boardSize $ [0..(boardSize * boardSize - 1)]) board
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yMirrorBoard board@Board{..} =
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translateBoard
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(concat . reverse . chunk boardSize $ [0..(boardSize * boardSize - 1)]) board
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rotateBoardN :: Board -> Int -> Board
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rotateBoardN board n = foldl (\b _ -> rotateBoard b) board [1..n]
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@ -129,27 +145,26 @@ class Player a where
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improvePlayer :: a -> Result -> Run -> a
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-- play a match between two players
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playMatch :: (Player p1, Player p2) => p1 -> p2 -> (Result, Run, p1, p2)
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playMatch player1 player2 = playMatch_ player1 player2 emptyBoard
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playMatch_ :: (Player p1, Player p2) => p1 -> p2 -> Board -> (Result, Run, p1, p2)
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playMatch_ player1 player2 board =
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playMatch :: (Player p1, Player p2) => p1 -> p2 -> Board -> (Result, Run, p1, p2)
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playMatch player1 player2 board =
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case result (playerMove player1) board of
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Unfinished -> let
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(player1', board') = play player1 board
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in case result (playerMove player1) board' of
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Unfinished -> let
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(res', run, player2', player1'') = playMatch_ player2 player1' board'
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(res', run, player2', player1'') = playMatch player2 player1' board'
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in (otherResult res', board' : run, player1'', player2')
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res -> (res, [], player1', player2)
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res -> (res, [], player1, player2)
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-- play multiple matches between two players
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playMatches :: (Player p1, Player p2) => Int -> p1 -> p2 -> ([(Result, Run)],p1, p2)
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playMatches times player1 player2 =
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playMatches :: (Player p1, Player p2) => Int -> Int -> p1 -> p2
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-> ([(Result, Run)],p1, p2)
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playMatches boardSize times player1 player2 =
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foldl (\(matches, p1, p2) _ ->
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let
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(res, run, p1', p2') = playMatch p1 p2
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startBoard = emptyBoard boardSize
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(res, run, p1', p2') = playMatch p1 p2 startBoard
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p1'' = improvePlayer p1' res run
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p2'' = improvePlayer p2' (otherResult res) run
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in ((res, run) : matches, p1'', p2''))
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@ -180,7 +195,7 @@ eqvBoards :: Board -> [Board]
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eqvBoards board = nub . sort $
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board : map (rotateBoardN board) [1..3] ++ [xMirrorBoard board, yMirrorBoard board]
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data LearningPlayer = LearningPlayer Move Memory StdGen deriving (Show)
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data LearningPlayer = LearningPlayer Move Memory StdGen
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-- play using the strategy learned till now
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learningPlay :: LearningPlayer -> Board -> (LearningPlayer, Board)
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@ -230,30 +245,32 @@ instance Player LearningPlayer where
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LearningPlayer move (learnFromRun res run mem) gen
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-- play two LearningPlayers against each other to learn strategy
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learnedPlayer :: Move -> StdGen -> LearningPlayer
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learnedPlayer move gen = let
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learnedPlayer :: Int -> Int -> Move -> StdGen -> LearningPlayer
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learnedPlayer boardSize times move gen = let
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(gen1, gen2) = split gen
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p1 = LearningPlayer move M.empty gen1
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p2 = LearningPlayer (otherMove move) M.empty gen2
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(_, p1', p2') = playMatches 1000 p1 p2
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(_, p1', p2') = playMatches boardSize times p1 p2
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in p1'
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-- Play against human
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-- play a player against a human. human enters moves from prompt.
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playHuman :: Player p => p -> Board -> IO ()
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playHuman player board = do
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playHuman player board@Board{..} = do
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printBoard board
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let boardArea = boardSize * boardSize
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case result (playerMove player) board of
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Unfinished -> do
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putStr "Move? "
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putStr $ printf "Move %s? [1-%s] "
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(show . otherMove . playerMove $ player) (show boardArea)
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pos <- fmap (decr . read) getLine
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if pos < 0 || pos > 8
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if pos < 0 || pos > (boardArea - 1)
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then do
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putStrLn "Invalid Move"
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playHuman player board
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else
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case cellState (board !! pos) of
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case cellState (boardCells !! pos) of
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Filled _ -> do
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putStrLn "Invalid Move"
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playHuman player board
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@ -271,19 +288,21 @@ playHuman player board = do
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main :: IO ()
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main = do
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(boardSize : times : _) <- fmap (map read) getArgs
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hSetBuffering stdin LineBuffering
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hSetBuffering stdout NoBuffering
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gen <- newStdGen
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putStrLn "Learning ..."
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let !player = learnedPlayer Cross gen
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let !player = learnedPlayer boardSize times Cross gen
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putStrLn "Learned"
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putStrLn "Tossing for first move"
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let t = evalState toss gen
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let startBoard = emptyBoard boardSize
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if t
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then do
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putStrLn "You win toss"
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playHuman player emptyBoard
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playHuman player startBoard
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else do
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putStrLn "You lose toss"
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let (player', board) = play player emptyBoard
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let (player', board) = play player startBoard
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playHuman player' board
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