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— Module : Data.Algorithm.Diff
— Copyright : (c) Sterling Clover 2008
— License : BSD 3 Clause

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— Maintainer :
— Stability : experimental
— Portability : portable
— This is an implementation of the O(ND) diff algorithm as described in
— \”An O(ND) Difference Algorithm and Its Variations (1986)\”
. It is O(mn) in space.
— The algorithm is the same one used by standared Unix diff.
— The assumption is that users of this library will want to diff over
— interesting things or peform interesting tasks with the results
— (given that, otherwise, they would simply use the standard Unix diff
— utility). Thus no attempt is made to present a fancier API to aid
— in doing standard and uninteresting things with the results.
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module Diff (DI(..), getDiff, getGroupedDiff) where
import Data.Array
import Data.List

— | Difference Indicator. A value is either from the First list, the Second
— or from Both.
data DI = F | S | B deriving (Show, Eq)

data DL = DL {poi::Int, poj::Int, path::[DI]} deriving (Show, Eq)

instance L where x <= y = poi x <= poi y canDiag :: (Eq a) => [a] -> [a] -> Int -> Int -> (Int, Int) -> Bool
canDiag as bs lena lenb = \(i,j) ->
if i < lena && j < lenb then arAs ! i == arBs ! j else False where arAs = listArray (0,lena - 1) as arBs = listArray (0,lenb - 1) bs chunk :: Int -> [a] -> [[a]]
chunk x = unfoldr (\a -> case splitAt x a of ([],[]) -> Nothing; a’ -> Just a’)

dstep :: ((Int,Int)->Bool) -> [DL] -> [DL]
dstep cd dls = map maximum $ [hd]:(chunk 2 rst)
where (hd:rst) = concatMap extend dls
extend dl = let pdl = path dl
in [addsnake cd $ dl {poi=poi dl + 1, path=(F : pdl)},
addsnake cd $ dl {poj=poj dl + 1, path=(S : pdl)}]

addsnake :: ((Int,Int)->Bool) -> DL -> DL
addsnake cd dl
| cd (pi, pj) = addsnake cd $
dl {poi = pi + 1, poj = pj + 1, path=(B : path dl)}
| otherwise = dl
where pi = poi dl; pj = poj dl

lcs :: (Eq a) => [a] -> [a] -> [DI]
lcs as bs = path . head . dropWhile (\dl -> poi dl /= lena || poj dl /= lenb) .
concat . iterate (dstep cd) . (:[]) . addsnake cd $
DL {poi=0,poj=0,path=[]}
where cd = canDiag as bs lena lenb
lena = length as; lenb = length bs

— | Takes two lists and returns a list indicating the differences
— between them.
getDiff :: (Eq t) => [t] -> [t] -> [(DI, t)]
getDiff a b = markup a b . reverse $ lcs a b
where markup (x:xs) ys (F:ds) = (F, x) : markup xs ys ds
markup xs (y:ys) (S:ds) = (S, y) : markup xs ys ds
markup (x:xs) (_:ys) (B:ds) = (B, x) : markup xs ys ds
markup _ _ _ = []

— | Takes two lists and returns a list indicating the differences
— between them, grouped into chunks.
getGroupedDiff :: (Eq t) => [t] -> [t] -> [(DI, [t])]
getGroupedDiff a b = map go . groupBy (\x y -> fst x == fst y) $ getDiff a b
where go ((d,x) : xs) = (d, x : map snd xs)

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