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Add traverseMonotonic, etc. #816

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@josephcsible

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@josephcsible
import Data.Set.Internal

traverseMonotonic :: Applicative t => (a -> t b) -> Set a -> t (Set b)
traverseMonotonic _ Tip = pure Tip
traverseMonotonic f (Bin sz x l r) = flip (Bin sz) <$> traverseMonotonic f l <*> f x <*> traverseMonotonic f r
import Data.Map.Internal

traverseKeysMonotonic :: Applicative t => (k1 -> t k2) -> Map k1 a -> t (Map k2 a)
traverseKeysMonotonic _ Tip = pure Tip
traverseKeysMonotonic f (Bin sz k x l r) = (\l' k' -> Bin sz k' x l') <$> traverseKeysMonotonic f l <*> f k <*> traverseKeysMonotonic f r

bitraverseMonotonic :: Applicative t => (k1 -> t k2) -> (v1 -> t v2) -> Map k1 v1 -> t (Map k2 v2)
bitraverseMonotonic _ _ Tip = pure Tip
bitraverseMonotonic f g (Bin sz k x l r) = (\l' k' x' -> Bin sz k' x' l') <$> bitraverseMonotonic f g l <*> f k <*> g x <*> bitraverseMonotonic f g r

I think we should add these to Data.Set and Data.Map, respectively, as analogues of mapMonotonic, etc. Note that these are unsafe just like they are, and require the exact same care to avoid breaking invariants.

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