{-# LANGUAGE CPP #-} -- | Non-empty lists. -- -- Better name @List1@ for non-empty lists, plus missing functionality. -- -- Import: -- @ -- -- {-# LANGUAGE PatternSynonyms #-} -- -- import Agda.Utils.List1 (List1, pattern (:|)) -- import qualified Agda.Utils.List1 as List1 -- -- @ {-# OPTIONS_GHC -Wno-incomplete-patterns #-} -- because of https://gitlab.haskell.org/ghc/ghc/issues/10339 module Agda.Utils.List1 ( module Agda.Utils.List1 , module List1 , module IsList ) where import Prelude hiding (filter) import Control.Arrow ((&&&)) import Control.Monad (filterM) import qualified Control.Monad as List (zipWithM, zipWithM_) import qualified Data.Either as Either import qualified Data.List as List import qualified Data.Maybe as Maybe import qualified Data.Semigroup as Semigroup import Data.List.NonEmpty as List1 hiding (fromList, toList) import qualified Data.List.NonEmpty as List1 (toList) import GHC.Exts as IsList ( IsList(..) ) import Agda.Utils.Functor ((<.>)) import Agda.Utils.Null (Null(..)) import qualified Agda.Utils.List as List type List1 = NonEmpty type String1 = List1 Char -- | Safe version of 'Data.List.NonEmpty.fromList'. fromListSafe :: List1 a -- ^ Default value if convertee is empty. -> [a] -- ^ List to convert, supposedly non-empty. -> List1 a -- ^ Converted list. fromListSafe err [] = err fromListSafe _ (x:xs) = x :| xs -- | Return the last element and the rest. initLast :: List1 a -> ([a], a) initLast = List1.init &&& List1.last -- traverses twice, but does not create intermediate pairs -- | Build a list with one element. #if !(MIN_VERSION_base(4,15,0)) singleton :: a -> List1 a singleton = (:| []) #endif #if !MIN_VERSION_base(4,16,0) -- | Append a list to a non-empty list. appendList :: List1 a -> [a] -> List1 a appendList (x :| xs) ys = x :| mappend xs ys -- | Prepend a list to a non-empty list. prependList :: [a] -> List1 a -> List1 a prependList as bs = Prelude.foldr (<|) bs as #endif -- | More precise type for @snoc@. snoc :: [a] -> a -> List1 a snoc as a = prependList as $ a :| [] -- | More precise type for 'Agda.Utils.List.groupBy''. -- -- A variant of 'List.groupBy' which applies the predicate to consecutive -- pairs. -- O(n). groupBy' :: forall a. (a -> a -> Bool) -> [a] -> [List1 a] groupBy' _ [] = [] groupBy' p xxs@(x : xs) = grp x $ List.zipWith (\ x y -> (p x y, y)) xxs xs where grp :: a -> [(Bool,a)] -> [List1 a] grp x ys | let (xs, rest) = List.span fst ys = (x :| List.map snd xs) : case rest of [] -> [] ((_false, z) : zs) -> grp z zs -- | Split a list into sublists. Generalisation of the prelude function -- @words@. -- Same as 'Data.List.Split.wordsBy' and 'Data.List.Extra.wordsBy', -- but with the non-emptyness guarantee on the chunks. -- O(n). -- -- > words xs == wordsBy isSpace xs wordsBy :: (a -> Bool) -> [a] -> [List1 a] wordsBy p = loop where loop as = case List.dropWhile p as of [] -> [] x:xs -> (x :| ys) : loop zs where (ys, zs) = List.break p xs -- | Breaks a list just /after/ an element satisfying the predicate is -- found. -- -- >>> breakAfter even [1,3,5,2,4,7,8] -- ([1,3,5,2],[4,7,8]) breakAfter :: (a -> Bool) -> List1 a -> (List1 a, [a]) breakAfter p (x :| xs) = List.breakAfter1 p x xs -- | Concatenate one or more non-empty lists. concat :: [List1 a] -> [a] concat = concatMap toList -- | Like 'Data.List.union'. Duplicates in the first list are not removed. -- O(nm). union :: Eq a => List1 a -> List1 a -> List1 a union (a :| as) bs = a :| List.union as (filter (/= a) bs) -- * Recovering non-emptyness. ifNull :: [a] -> b -> (List1 a -> b) -> b ifNull [] b _ = b ifNull (a : as) _ f = f $ a :| as ifNotNull :: [a] -> (List1 a -> b) -> b -> b ifNotNull [] _ b = b ifNotNull (a : as) f _ = f $ a :| as unlessNull :: Null m => [a] -> (List1 a -> m) -> m unlessNull [] _ = empty unlessNull (x : xs) f = f $ x :| xs -- * List functions with no special behavior for non-empty lists. -- | Checks if all the elements in the list are equal. Assumes that -- the 'Eq' instance stands for an equivalence relation. -- O(n). allEqual :: Eq a => List1 a -> Bool allEqual (x :| xs) = all (== x) xs -- | Like 'Maybe.catMaybes'. catMaybes :: List1 (Maybe a) -> [a] catMaybes = Maybe.catMaybes . List1.toList -- | Like 'List1.filter'. mapMaybe :: (a -> Maybe b) -> List1 a -> [b] mapMaybe f = Maybe.mapMaybe f . List1.toList -- | Like 'Data.Either.partitionEithers'. partitionEithers :: List1 (Either a b) -> ([a], [b]) partitionEithers = Either.partitionEithers . List1.toList -- | Like 'Data.Either.lefts'. lefts :: List1 (Either a b) -> [a] lefts = Either.lefts . List1.toList -- | Like 'Data.Either.rights'. rights :: List1 (Either a b) -> [b] rights = Either.rights . List1.toList -- | Non-efficient, monadic 'nub'. -- O(n²). nubM :: Monad m => (a -> a -> m Bool) -> List1 a -> m (List1 a) nubM eq (a :| as) = (a :|) <$> do List.nubM eq =<< filterM (not <.> eq a) as -- | Like 'Control.Monad.zipWithM'. zipWithM :: Applicative m => (a -> b -> m c) -> List1 a -> List1 b -> m (List1 c) zipWithM f (a :| as) (b :| bs) = (:|) <$> f a b <*> List.zipWithM f as bs -- | Like 'Control.Monad.zipWithM'. zipWithM_ :: Applicative m => (a -> b -> m c) -> List1 a -> List1 b -> m () zipWithM_ f (a :| as) (b :| bs) = f a b *> List.zipWithM_ f as bs -- | List 'Data.List.foldr' but with a base case for the singleton list. foldr :: (a -> b -> b) -> (a -> b) -> List1 a -> b foldr f g (x :| xs) = loop x xs where loop x [] = g x loop x (y : ys) = f x $ loop y ys