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🔥 Endpoint.
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@ -6,7 +6,6 @@ module SES.Myers
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, EditGraph(..)
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, Distance(..)
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, Diagonal(..)
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, Endpoint(..)
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, ses
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, MyersState
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) where
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@ -18,7 +17,6 @@ import Data.Functor.Classes
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import Data.These
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import GHC.Show hiding (show)
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import Prologue hiding (for, error)
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import Text.Show (showListWith)
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-- | An edit script, i.e. a sequence of changes/copies of elements.
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type EditScript a b = [These a b]
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@ -43,10 +41,6 @@ newtype Distance = Distance { unDistance :: Int }
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newtype Diagonal = Diagonal { unDiagonal :: Int }
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deriving (Eq, Ix, Ord, Show)
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-- | The endpoint of a path through the edit graph, represented as the x/y indices and the script of edits made to get to that point.
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data Endpoint a b = Endpoint { x :: !Int, script :: !(EditScript a b) }
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deriving (Eq, Show)
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-- API
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@ -72,12 +66,12 @@ runSES eq (EditGraph as bs)
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where -- | Search an edit graph for the shortest edit script along a specific diagonal, moving onto a given diagonal from one of its in-bounds adjacent diagonals (if any), and sliding down any diagonal edges eagerly.
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searchAlongK (Diagonal k) = do
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v <- get
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let getK = uncurry Endpoint . (v !) . Diagonal
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let getK k = let (x, script) = v ! Diagonal k in (x, x - k, script)
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prev = getK (pred k)
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next = getK (succ k)
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Endpoint x' script = slideFrom $! if d == 0 || k < negate m || k > n then
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(x', _, script) = slideFrom $! if d == 0 || k < negate m || k > n then
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-- The top-left corner, or otherwise out-of-bounds.
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Endpoint 0 []
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(0, 0, [])
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else if k == negate d || k == negate m then
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-- The lower/left extent of the search region or edit graph, whichever is smaller.
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moveDownFrom next
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@ -96,19 +90,20 @@ runSES eq (EditGraph as bs)
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else
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Nothing
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where -- | Move downward from a given vertex, inserting the element for the corresponding row.
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moveDownFrom (Endpoint x script) = Endpoint x (if (x - pred k) < m then That (bs ! (x - pred k)) : script else script)
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moveDownFrom (x, y, script) = (x, succ y, if y < m then That (bs ! y) : script else script)
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-- | Move rightward from a given vertex, deleting the element for the corresponding column.
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moveRightFrom (Endpoint x script) = Endpoint (succ x) (if x < n then This (as ! x) : script else script)
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moveRightFrom (x, y, script) = (succ x, y, if x < n then This (as ! x) : script else script)
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-- | Slide down any diagonal edges from a given vertex.
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slideFrom (Endpoint x script)
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slideFrom (x, y, script)
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| x >= 0, x < n
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, (x - k) >= 0, (x - k) < m
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, y >= 0, y < m
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, a <- as ! x
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, b <- bs ! (x - k)
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, a `eq` b = slideFrom (Endpoint (succ x) (These a b : script))
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| otherwise = Endpoint x script
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, b <- bs ! y
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, a `eq` b = slideFrom (succ x, y, These a b : script)
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| otherwise = ( x, succ y, script)
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x (x, _, _) = x
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-- Implementation details
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@ -131,26 +126,8 @@ for all run = foldr (\ a b -> (<|>) <$> run a <*> b) (return Nothing) all
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liftShowsVector :: Show i => (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Array.Array i a -> ShowS
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liftShowsVector sp sl d = liftShowsPrec sp sl d . toList
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-- | Lifted showing of These.
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liftShowsThese :: (Int -> a -> ShowS) -> (Int -> b -> ShowS) -> Int -> These a b -> ShowS
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liftShowsThese sa sb d t = case t of
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This a -> showsUnaryWith sa "This" d a
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That b -> showsUnaryWith sb "That" d b
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These a b -> showsBinaryWith sa sb "These" d a b
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-- | Lifted showing of edit scripts.
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liftShowsEditScript :: (Int -> a -> ShowS) -> (Int -> b -> ShowS) -> Int -> EditScript a b -> ShowS
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liftShowsEditScript sa sb _ = showListWith (liftShowsThese sa sb 0)
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-- | Lifted showing of edit graph endpoints.
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liftShowsEndpoint :: (Int -> a -> ShowS) -> (Int -> b -> ShowS) -> Int -> Endpoint a b -> ShowS
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liftShowsEndpoint sp1 sp2 d (Endpoint x script) = showsBinaryWith showsPrec (liftShowsEditScript sp1 sp2) "Endpoint" d x script
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-- Instances
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instance Show2 EditGraph where
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liftShowsPrec2 sp1 sl1 sp2 sl2 d (EditGraph as bs) = showsBinaryWith (liftShowsVector sp1 sl1) (liftShowsVector sp2 sl2) "EditGraph" d as bs
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instance Show2 Endpoint where
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liftShowsPrec2 sp1 _ sp2 _ = liftShowsEndpoint sp1 sp2
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