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🔥 Data.Amb.
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@ -17,7 +17,6 @@ library
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, Alignment
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, Category
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, Data.Align.Generic
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, Data.Amb
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, Data.Blob
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, Data.Functor.Both
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, Data.Functor.Classes.Eq.Generic
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@ -1,48 +0,0 @@
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{-# LANGUAGE MultiParamTypeClasses, NoStrictData #-}
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module Data.Amb where
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import Control.Monad.Error.Class
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import Data.Bifunctor
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import Data.List.NonEmpty
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import Data.Semigroup
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-- | The ambiguity monad, the result of nondeterministic choice.
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--
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-- Values are either the empty set (with an error value indicating why), or a 'NonEmpty' list of ambiguous results.
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data Amb l r
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= None l -- ^ No results; an error.
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| Some (NonEmpty r) -- ^ One or more results.
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deriving (Eq, Foldable, Functor, Show, Traversable)
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-- | Disambiguate an 'Amb' by case analysis.
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--
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-- If the value is @'None' l@, apply the first function to @l@; if it is @'Some' rs@, apply the second function to @rs@.
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disamb :: (l -> a) -> (NonEmpty r -> a) -> Amb l r -> a
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disamb f _ (None l) = f l
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disamb _ g (Some r) = g r
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instance Bifunctor Amb where
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bimap f _ (None l) = None (f l)
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bimap _ g (Some r) = Some (fmap g r)
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instance Semigroup (Amb l r) where
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l <> None _ = l
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None _ <> r = r
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Some as <> Some bs = Some (as <> bs)
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instance Applicative (Amb l) where
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pure a = Some (a :| [])
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None l <*> _ = None l
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_ <*> None r = None r
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Some fs <*> Some as = Some (fs <*> as)
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instance Monad (Amb l) where
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return = pure
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None a >>= _ = None a
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Some as >>= f = sconcat (f <$> as)
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instance MonadError l (Amb l) where
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throwError = None
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None a `catchError` f = f a
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Some as `catchError` _ = Some as
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