当我尝试编写最短路径算法时,我遇到了一个奇怪的事情.后floydWarshall功能以阵列形式产生adjecency矩阵,main函数试图阵列多次查询(在replicateM_循环中).
我发现我的代码非常慢.所以我放在traceShow "doing"顶部floydWarshall并重新运行以发现每次res ! (start,end)调用都是floydWarshall重复的.
为什么每次重新生成数组?
完整源代码输入:https: //gist.github.com/cwyang/27ab81bee731e6d01bb3a7483fdb748e
floydWarshall :: AdjMatrix (Maybe Int) -> AdjMatrix (Maybe Int)
floydWarshall am = traceShow "doing" $ runST $ do
arr <- thaw am :: ST s (STArray s (Vertex,Vertex) (Maybe Int))
sequence_ [ go arr k i j | k <- r, i <- r, j <- r]
freeze arr
where ((minb,_), (maxb,_)) = bounds am
r = [minb..maxb]
go :: STArray s (Vertex,Vertex) (Maybe Int)
-> Vertex -> Vertex -> Vertex -> ST s ()
go arr k i j = do
ij <- readArray arr (i,j)
ik <- readArray arr (i,k)
kj <- readArray arr (k,j)
case (ik, kj) of
(Nothing, _) -> return ()
(_, Nothing) -> return ()
(Just a, Just b) -> case ij of
Nothing -> do
writeArray arr (i,j) $ Just (a+b)
(Just c) -> when (c > a+b) $ do
writeArray arr (i,j) $ Just (a+b)
readInt :: B.ByteString -> Int
readInt = fst . fromJust . B.readInt
main :: IO ()
main = do
[n,m] <- rl
edges <- replicateM m $ do
[from,to,weight] <- rl
return (from,to,weight)
[q] <- rl
let am = buildAdjMatrix (1,n) edges
res= floydWarshall am
replicateM_ q $ do
[start,end] <- rl
putStrLn . show $ maybe (-1) id (res ! (start,end))
where rl = map readInt . B.words <$> B.getLine
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样品运行:
$ graph < floyd3.txt hs
"doing" <-- floydWarshall keeps calling
1395
"doing"
975
"doing"
1593
"doing"
1023
"doing"
1521
...
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