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ex4d.hs
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ex4d.hs
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import Data.Char
import Data.List
import System.IO
size :: Int
size = 3
type Grid = [[Player]]
data Player
= O
| B
| X
deriving (Eq, Ord, Read, Show)
next :: Player -> Player
next O = X
next B = B
next X = O
-- ex4b begin
empty :: Int -> Grid
empty size = replicate size (replicate size B)
-- ex4b end
full :: Grid -> Bool
full = notElem B . concat
turn :: Grid -> Player
turn g =
if os <= xs
then O
else X
where
os = length (filter (== O) ps)
xs = length (filter (== X) ps)
ps = concat g
wins :: Player -> Grid -> Bool
wins p g = any line (rows ++ cols ++ dias)
where
line = all (== p)
rows = g
cols = transpose g
dias = [diag g, diag (map reverse g)]
-- ex4b
diag :: Grid -> [Player]
diag g = [g !! n !! n | n <- [0 .. length g - 1]]
won :: Grid -> Bool
won g = wins O g || wins X g
-- ex4b
putGrid :: Grid -> IO ()
putGrid grid = putStrLn . unlines . concat . interleave bar . map showRow $ grid
where
bar = [replicate ((length grid * 4) - 1) '-']
showRow :: [Player] -> [String]
showRow = beside . interleave bar . map showPlayer
where
beside = foldr1 (zipWith (++))
bar = replicate 3 "|"
showPlayer :: Player -> [String]
showPlayer O = [" ", " O ", " "]
showPlayer B = [" ", " ", " "]
showPlayer X = [" ", " X ", " "]
interleave :: a -> [a] -> [a]
interleave x [] = []
interleave x [y] = [y]
interleave x (y:ys) = y : x : interleave x ys
-- ex4b
valid :: Grid -> Int -> Bool
valid g i = 0 <= i && i < length g ^ 2 && concat g !! i == B
-- ex4b
move :: Grid -> Int -> Player -> [Grid]
move g i p =
if valid g i
then [chop (length g) (xs ++ [p] ++ ys)]
else []
where
(xs, B:ys) = splitAt i (concat g)
chop :: Int -> [a] -> [[a]]
chop n [] = []
chop n xs = take n xs : chop n (drop n xs)
getNat :: String -> IO Int
getNat prompt = do
putStr prompt
xs <- getLine
if xs /= [] && all isDigit xs
then return (read xs)
else do
putStrLn "ERROR: Invalid number"
getNat prompt
tictactoe :: IO ()
tictactoe = run (empty size) O
run :: Grid -> Player -> IO ()
run g p = do
cls
goto (1, 1)
putGrid g
run' g p
cls :: IO ()
cls = putStr "\ESC[2J"
type Pos = (Int, Int)
goto :: Pos -> IO ()
goto (x, y) = putStr ("\ESC[" ++ show y ++ ";" ++ show x ++ "H")
run' :: Grid -> Player -> IO ()
run' g p
| wins O g = putStrLn "Player O wins!\n"
| wins X g = putStrLn "Player X wins!\n"
| full g = putStrLn "It's a draw!\n"
| otherwise = do
i <- getNat (prompt p)
case move g i p of
[] -> do
putStrLn "ERROR: Invalid move"
run' g p
[g'] -> run g' (next p)
prompt :: Player -> String
prompt p = "Player " ++ show p ++ ", enter your move: "
data Tree a =
Node a [Tree a]
deriving (Show)
-- ex4c
findNode :: Eq a => a -> Tree a -> Tree a
findNode x t = findNode' x t []
findNode' :: Eq a => a -> Tree a -> [Tree a] -> Tree a
findNode' x (Node y []) [] = Node y []
findNode' x (Node y []) (sb1:sbs) =
if x == y
then Node y []
else findNode' x sb1 sbs
findNode' x (Node y (t:ts)) [] =
if x == y
then Node y (t : ts)
else findNode' x t ts
findNode' x (Node y (t:ts)) (sb1:sbs)
| x == y = Node y (t : ts)
| x == child = Node child ct
| otherwise = Node sibling st
where
Node child ct = findNode' x t ts
Node sibling st = findNode' x sb1 sbs
gametree :: Grid -> Player -> Tree Grid
gametree g p = Node g [gametree g' (next p) | g' <- moves g p]
-- ex4b
moves :: Grid -> Player -> [Grid]
moves g p
| won g = []
| full g = []
| otherwise = concat [move g i p | i <- [0 .. ((length g ^ 2) - 1)]]
prune :: Int -> Tree a -> Tree a
prune 0 (Node x _) = Node x []
prune n (Node x ts) = Node x [prune (n - 1) t | t <- ts]
depth :: Int
depth = 9
minimax :: Tree Grid -> Tree (Grid, Player)
minimax (Node g [])
| wins O g = Node (g, O) []
| wins X g = Node (g, X) []
| otherwise = Node (g, B) []
minimax (Node g ts)
| turn g == O = Node (g, minimum ps) ts'
| turn g == X = Node (g, maximum ps) ts'
where
ts' = map minimax ts
ps = [p | Node (_, p) _ <- ts']
-- ex11.4d
minimaxAB :: Tree Grid -> Tree (Grid, Player)
minimaxAB (Node g [])
| wins O g = Node (g, O) []
| wins X g = Node (g, X) []
| otherwise = Node (g, B) []
minimaxAB (Node g (t:ts))
| turn' == cp = Node (g, cp) []
| null ts = minimaxAB t
| otherwise = Node (g, extremal turn' ps) ts'
where
turn' = turn g
Node (_, cp) _ = minimaxAB t
extremal p =
if p == O
then minimum
else maximum
ts' = map minimaxAB (t:ts)
ps = [p | Node (_, p) _ <- ts']
-- ex11.4c
bestmove :: Grid -> Player -> Tree Grid -> Grid
bestmove g p gt = head [g' | Node (g', p') _ <- ts, p' == best]
where
tree = findNode g gt
Node (_, best) ts = minimaxAB tree
-- ex11.4a,b
main :: IO ()
main = do
hSetBuffering stdout NoBuffering
order <- getOrder "Choose your order (1 or 2): "
size <- getNat "Board size: "
if order == 1
then play (empty size) O
else play (empty size) X
-- ex11.4a
getOrder :: String -> IO Int
getOrder prompt = do
putStr prompt
xs <- getLine
if xs /= [] && (xs == "1" || xs == "2")
then return (read xs)
else getOrder prompt
-- ex11.4c
play :: Grid -> Player -> IO ()
play g p = do
cls
goto (1, 1)
putGrid g
play' g p (gametree g p)
-- ex11.4c
play' :: Grid -> Player -> Tree Grid -> IO ()
play' g p gt
| wins O g = putStrLn "Player O wins!\n"
| wins X g = putStrLn "Player X wins!\n"
| full g = putStrLn "It's a draw!\n"
| p == O = do
i <- getNat (prompt p)
case move g i p of
[] -> do
putStrLn "ERROR: Invalid move"
play' g p gt
[g'] -> play g' (next p)
| p == X = do
putStr "Player X is thinking... "
(play $! bestmove g p gt) (next p)