Ready for replacement of Either with bespoke data type for compo trees
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{-| Combining and composing trees of trees. -}
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module Dodge.Tree.Compose
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( expandTreeBy
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, appendEitherTree
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, connectRoom
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, connectTrunk
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, deadRoom
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, linkEitherTrees
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, expandTree
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, singleUseAll
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, singleUseNone
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, passUntilUseAll
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, chainUses
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, useAllAtEnd
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) where
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import Dodge.Tree.Compose.Data
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import Data.Tree
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expandTree :: CompTree a -> Tree a
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expandTree (Node root extChildren) = case root of
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Node (UseAll x) _ -> Node x (map expandTree extChildren)
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Node (UseSome is x) _ -> Node x (map expandTree $ map (\i -> extChildren !! i) is)
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Node (UseNone _) _ -> fmap _unCompose root
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Node (PassDown x) xs -> Node x $ map (expandTree . (\ct -> Node ct extChildren)) xs
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Node (SplitDown x) xs -> Node x $ map expandTree $ zipWith Node xs
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$ map (:[]) extChildren ++ repeat []
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-- | 'Left' elements get new children as given by the node function,
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-- 'Right' elements inherit the children from the base tree
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expandTreeBy
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:: (a -> Tree (Either b b)) -- ^ Node function
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-> Tree a -- ^ Base tree
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-> Tree b
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expandTreeBy f (Node x []) = fmap removeEither (f x)
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expandTreeBy f (Node x xs) = appendAndRemove $ f x
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where
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appendAndRemove (Node (Left y) ys) = Node y (map appendAndRemove ys)
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appendAndRemove (Node (Right y) _ ) = Node y (map (expandTreeBy f) xs)
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-- | Appends a second either forest at the 'Right' elements of a first either
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-- tree.
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-- Makes such 'Right' elements into 'Left's.
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appendEitherTree
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:: Tree (Either a a) -- ^ The first tree
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-> [Tree (Either a a)] -- ^ The forest to append
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-> Tree (Either a a)
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appendEitherTree (Node (Left x) ts) ts' = Node (Left x) $ map (`appendEitherTree` ts') ts
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appendEitherTree (Node (Right x) _) ts' = Node (Left x) ts'
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passUntilUseAll :: SubCompTree a -> [SubCompTree a] -> SubCompTree a
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passUntilUseAll (Node (UseAll x) _) ts' = Node (PassDown x) ts'
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passUntilUseAll (Node cn ts) ts' = Node (PassDown (_unCompose cn)) $ map (`passUntilUseAll` ts') ts
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linkEitherTrees :: [Tree (Either a a)] -> Tree (Either a a)
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linkEitherTrees (t:s:ts) = linkEitherTrees (appendEitherTree t [s]:ts)
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linkEitherTrees [t] = t
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linkEitherTrees [] = error "tried to concatenate an empty list of either trees"
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chainUses :: [SubCompTree a] -> SubCompTree a
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chainUses (t:s:ts) = chainUses (passUntilUseAll t [s]:ts)
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chainUses [t] = t
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chainUses [] = error "tried to concatenate an empty list of SubCompTrees"
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-- this is _unCompose
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removeEither :: Either p p -> p
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removeEither (Left y) = y
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removeEither (Right y) = y
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{- |
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Make a singleton connection of an Either Tree.
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-}
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connectRoom :: a -> Tree (Either a a)
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connectRoom r = Node (Right r) []
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singleUseAll :: a -> Tree (ComposingNode a)
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singleUseAll x = Node (UseAll x) []
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{- |
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Make a single Either connection at the end of a tree.
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-}
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connectTrunk :: Tree a -> Tree (Either a a)
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connectTrunk (Node x (t:ts)) = Node (Left x) (connectTrunk t : map (fmap Left) ts)
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connectTrunk (Node x []) = Node (Right x) []
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useAllAtEnd :: Tree a -> SubCompTree a
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useAllAtEnd tree = case tree of
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Node x (t:ts) -> Node (PassDown x) (useAllAtEnd t : map (fmap UseNone) ts)
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Node x [] -> Node (UseAll x) []
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{- |
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Make a singleton dead end of an Either Tree.
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-}
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deadRoom :: a -> Tree (Either a a)
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deadRoom r = Node (Left r) []
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singleUseNone :: a -> SubCompTree a
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singleUseNone x = Node (UseNone x) []
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