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semantic/test/Data/Mergeable.hs
2018-07-20 10:07:53 -04:00

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{-# LANGUAGE DefaultSignatures, TypeOperators, UndecidableInstances #-}
module Data.Mergeable ( Mergeable (..) ) where
import Control.Applicative
import Data.Functor.Identity
import Data.List.NonEmpty
import Data.Sum
import qualified Data.Syntax as Syntax
import qualified Data.Syntax.Comment as Comment
import qualified Data.Syntax.Declaration as Declaration
import qualified Data.Syntax.Statement as Statement
import GHC.Generics
-- Classes
-- | A 'Mergeable' functor is one which supports pushing itself through an 'Alternative' functor. Note the similarities with 'Traversable' & 'Crosswalk'.
--
-- This is a kind of distributive law which produces (at least) the union of the two functors shapes; i.e. unlike 'Traversable', an 'empty' value in the inner functor does not produce an 'empty' result, and unlike 'Crosswalk', an 'empty' value in the outer functor does not produce an 'empty' result.
--
-- For example, 'Data.Diff' uses 'sequenceAlt' to select one side or the other of a diff node, while correctly handling the fact that some patches dont have any content for that side.
class Functor t => Mergeable t where
-- | Sequence a 'Mergeable' functor by merging the 'Alternative' values.
sequenceAlt :: Alternative f => t (f a) -> f (t a)
default sequenceAlt :: (Generic1 t, GMergeable (Rep1 t), Alternative f) => t (f a) -> f (t a)
sequenceAlt = genericSequenceAlt
-- Instances
instance Mergeable [] where
sequenceAlt = foldr (\ x -> (((:) <$> x <|> pure id) <*>)) (pure [])
instance Mergeable NonEmpty where
sequenceAlt (x :|[]) = (:|) <$> x <*> pure []
sequenceAlt (x1:|x2:xs) = (:|) <$> x1 <*> sequenceAlt (x2 : xs) <|> sequenceAlt (x2:|xs)
instance Mergeable Maybe where
sequenceAlt = maybe (pure empty) (fmap Just)
instance Mergeable Identity where
sequenceAlt = fmap Identity . runIdentity
instance (Apply Functor fs, Apply Mergeable fs) => Mergeable (Sum fs) where
sequenceAlt = apply' @Mergeable (\ reinj t -> reinj <$> sequenceAlt t)
instance Mergeable Comment.Comment
instance Mergeable Declaration.Function
instance Mergeable Declaration.Method
instance Mergeable Statement.If
instance Mergeable Syntax.Context
instance Mergeable Syntax.Empty
instance Mergeable Syntax.Identifier
-- Generics
class GMergeable t where
gsequenceAlt :: Alternative f => t (f a) -> f (t a)
genericSequenceAlt :: (Generic1 t, GMergeable (Rep1 t), Alternative f) => t (f a) -> f (t a)
genericSequenceAlt = fmap to1 . gsequenceAlt . from1
-- Instances
instance GMergeable U1 where
gsequenceAlt _ = pure U1
instance GMergeable Par1 where
gsequenceAlt (Par1 a) = Par1 <$> a
instance GMergeable (K1 i c) where
gsequenceAlt (K1 a) = pure (K1 a)
instance Mergeable f => GMergeable (Rec1 f) where
gsequenceAlt (Rec1 a) = Rec1 <$> sequenceAlt a
instance GMergeable f => GMergeable (M1 i c f) where
gsequenceAlt (M1 a) = M1 <$> gsequenceAlt a
instance (GMergeable f, GMergeable g) => GMergeable (f :+: g) where
gsequenceAlt (L1 a) = L1 <$> gsequenceAlt a
gsequenceAlt (R1 a) = R1 <$> gsequenceAlt a
instance (GMergeable f, GMergeable g) => GMergeable (f :*: g) where
gsequenceAlt (a :*: b) = (:*:) <$> gsequenceAlt a <*> gsequenceAlt b