mirror of
https://github.com/idris-lang/Idris2.git
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62 lines
1.2 KiB
Idris
62 lines
1.2 KiB
Idris
module Data.List1
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%default total
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public export
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record List1 a where
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constructor (::)
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head : a
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tail : List a
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public export
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toList : (1 xs : List1 a) -> List a
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toList (x :: xs) = x :: xs
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public export
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reverseOnto : (1 acc : List1 a) -> (1 xs : List a) -> List1 a
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reverseOnto acc [] = acc
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reverseOnto acc (x :: xs) = reverseOnto (x :: toList acc) xs
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public export
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reverse : (1 xs : List1 a) -> List1 a
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reverse (x :: xs) = reverseOnto [x] xs
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export
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fromList : (1 xs : List a) -> Maybe (List1 a)
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fromList [] = Nothing
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fromList (x :: xs) = Just (x :: xs)
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export
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appendl : (1 xs : List1 a) -> (1 ys : List a) -> List1 a
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appendl (x :: xs) ys = x :: xs ++ ys
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export
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append : (1 xs, ys : List1 a) -> List1 a
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append xs ys = appendl xs (toList ys)
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export
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lappend : (1 xs : List a) -> (1 ys : List1 a) -> List1 a
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lappend [] ys = ys
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lappend (x :: xs) ys = append (x :: xs) ys
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export
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Functor List1 where
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map f (x :: xs) = f x :: map f xs
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export
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Foldable List1 where
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foldr c n (x :: xs) = c x (foldr c n xs)
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export
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Show a => Show (List1 a) where
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show = show . toList
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export
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Applicative List1 where
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pure x = [x]
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f :: fs <*> xs = appendl (map f xs) (fs <*> toList xs)
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export
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Monad List1 where
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(x :: xs) >>= f = appendl (f x) (xs >>= toList . f)
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