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108 lines
2.3 KiB
Idris
108 lines
2.3 KiB
Idris
module Data.These
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import Control.Function
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%default total
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public export
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data These a b = This a | That b | Both a b
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public export
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fromEither : Either a b -> These a b
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fromEither = either This That
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public export
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fromThis : These a b -> Maybe a
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fromThis (This a) = Just a
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fromThis (That _) = Nothing
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fromThis (Both a _) = Just a
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public export
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fromThat : These a b -> Maybe b
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fromThat (This _) = Nothing
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fromThat (That b) = Just b
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fromThat (Both _ b) = Just b
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public export
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these : (a -> c) -> (b -> c) -> (a -> b -> c) -> These a b -> c
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these l r lr (This a) = l a
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these l r lr (That b) = r b
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these l r lr (Both a b) = lr a b
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public export
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swap : These a b -> These b a
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swap (This a) = That a
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swap (That b) = This b
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swap (Both a b) = Both b a
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export
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Injective This where
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injective Refl = Refl
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export
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Injective That where
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injective Refl = Refl
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export
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{x : _} -> Injective (Both x) where
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injective Refl = Refl
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export
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{y : _} -> Injective (`Both` y) where
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injective Refl = Refl
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export
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Biinjective Both where
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biinjective Refl = (Refl, Refl)
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public export
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(Show a, Show b) => Show (These a b) where
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showPrec d (This x) = showCon d "This" $ showArg x
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showPrec d (That x) = showCon d "That" $ showArg x
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showPrec d (Both x y) = showCon d "Both" $ showArg x ++ showArg y
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public export
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Eq a => Eq b => Eq (These a b) where
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This x == This x' = x == x'
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That x == That x' = x == x'
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Both x y == Both x' y' = x == x' && y == y'
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_ == _ = False
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%inline
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public export
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Bifunctor These where
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bimap f g (This a) = This (f a)
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bimap f g (That b) = That (g b)
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bimap f g (Both a b) = Both (f a) (g b)
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%inline
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public export
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Bifoldable These where
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bifoldr f _ acc (This a) = f a acc
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bifoldr _ g acc (That b) = g b acc
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bifoldr f g acc (Both a b) = f a (g b acc)
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bifoldl f _ acc (This a) = f acc a
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bifoldl _ g acc (That b) = g acc b
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bifoldl f g acc (Both a b) = g (f acc a) b
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binull _ = False
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%inline
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public export
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Bitraversable These where
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bitraverse f _ (This a) = This <$> f a
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bitraverse _ g (That b) = That <$> g b
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bitraverse f g (Both a b) = [| Both (f a) (g b) |]
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%inline
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public export
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Functor (These a) where
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map = mapSnd
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public export
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bifold : Monoid m => These m m -> m
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bifold (This a) = a
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bifold (That b) = b
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bifold (Both a b) = a <+> b
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