Created
January 22, 2014 18:56
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Dijkstra algorithm in Haskell.
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import System.Environment | |
import Control.Applicative | |
check :: Int | |
check = -1 | |
type Nodeid = Int | |
type Node = Int | |
type Graph = [(Node, [Edge])] | |
data Edge = Edge { enid :: Nodeid | |
, eprice :: Int } deriving (Show) | |
map2 :: (a -> a -> b) -> [a] -> [b] | |
map2 f [] = [] | |
map2 f (a:b:as) = f a b:map2 f as | |
setNodeValue :: Nodeid -> Int -> Graph -> Graph | |
setNodeValue i n g = fp ++ nv:sp | |
where nv = (n, getEdgeList i g) --New value | |
fp = take i g --Left | |
sp = drop (i+1) g --Right | |
getNodeValue :: Nodeid -> Graph -> Int | |
getNodeValue n g = fst $ g !! n | |
getEdgeList :: Nodeid -> Graph -> [Edge] | |
getEdgeList n g = snd $ g !! n | |
findUnchechNodes :: Nodeid -> Graph -> [Nodeid] | |
findUnchechNodes a g = filter (\x -> check == getNodeValue x g) enids | |
where enids = map enid $ getEdgeList a g | |
relaxNodes :: Nodeid -> Graph -> Graph | |
relaxNodes a g = | |
foldr (\edge acc -> | |
let nprice = (getNodeValue a g) + eprice edge | |
onid = enid edge | |
nodeval = getNodeValue onid g | |
in if nodeval == check || nodeval > nprice | |
then setNodeValue onid nprice acc | |
else acc | |
) g $ getEdgeList a g | |
solve :: Bool -> Nodeid -> Graph -> Graph | |
solve ft a g = if length rg == 0 | |
then rg | |
else foldr (solve False) rg ucn | |
where ucn = findUnchechNodes a sg | |
rg = relaxNodes a sg | |
sg = if ft | |
then setNodeValue a 0 g | |
else g | |
main :: IO () | |
main = do | |
start <- read . head <$> getArgs | |
pgraph <- map (map read . words) . lines <$> getContents | |
printGraph . solve True start $ map readAList pgraph | |
where readAList es = (check, map2 Edge es) | |
printGraph = mapM_ (print . fst) |
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