{-# OPTIONS_GHC -fno-warn-orphans #-} -- | Overloaded @null@ and @empty@ for collections and sequences. module Agda.Utils.Null where import Prelude hiding (null) import Control.Monad import Control.Monad.Reader import Control.Monad.State import qualified Data.ByteString.Char8 as ByteStringChar8 import qualified Data.ByteString.Lazy as ByteStringLazy import Data.HashMap.Strict (HashMap) import qualified Data.HashMap.Strict as HashMap import Data.HashSet (HashSet) import qualified Data.HashSet as HashSet import Data.IntMap (IntMap) import qualified Data.IntMap as IntMap import Data.IntSet (IntSet) import qualified Data.IntSet as IntSet import qualified Data.List as List import Data.Map (Map) import qualified Data.Map as Map import Data.Sequence (Seq) import qualified Data.Sequence as Seq import Data.Set (Set) import qualified Data.Set as Set import Data.Text (Text) import qualified Data.Text as Text import Text.PrettyPrint (Doc, isEmpty) import Agda.Utils.Bag (Bag) import qualified Agda.Utils.Bag as Bag import Agda.Utils.Impossible class Null a where empty :: a null :: a -> Bool -- ^ Satisfying @null empty == True@. default null :: Eq a => a -> Bool null = (== empty) instance Null () where empty = () null _ = True instance (Null a, Null b) => Null (a,b) where empty = (empty, empty) null (a,b) = null a && null b instance (Null a, Null b, Null c) => Null (a,b,c) where empty = (empty, empty, empty) null (a,b,c) = null a && null b && null c instance (Null a, Null b, Null c, Null d) => Null (a,b,c,d) where empty = (empty, empty, empty, empty) null (a,b,c,d) = null a && null b && null c && null d instance Null ByteStringChar8.ByteString where empty = ByteStringChar8.empty null = ByteStringChar8.null instance Null ByteStringLazy.ByteString where empty = ByteStringLazy.empty null = ByteStringLazy.null instance Null Text where empty = Text.empty null = Text.null instance Null [a] where empty = [] null = List.null instance Null (Bag a) where empty = Bag.empty null = Bag.null instance Null (IntMap a) where empty = IntMap.empty null = IntMap.null instance Null IntSet where empty = IntSet.empty null = IntSet.null instance Null (Map k a) where empty = Map.empty null = Map.null instance Null (HashMap k a) where empty = HashMap.empty null = HashMap.null instance Null (HashSet a) where empty = HashSet.empty null = HashSet.null instance Null (Seq a) where empty = Seq.empty null = Seq.null instance Null (Set a) where empty = Set.empty null = Set.null -- | A 'Maybe' is 'null' when it corresponds to the empty list. instance Null (Maybe a) where empty = Nothing null Nothing = True null (Just a) = False instance Null Doc where empty = mempty null = isEmpty instance (Null (m a), Monad m) => Null (ReaderT r m a) where empty = lift empty null = __IMPOSSIBLE__ instance (Null (m a), Monad m) => Null (StateT r m a) where empty = lift empty null = __IMPOSSIBLE__ -- * Testing for null. ifNull :: (Null a) => a -> b -> (a -> b) -> b ifNull a b k = if null a then b else k a ifNotNull :: (Null a) => a -> (a -> b) -> b -> b ifNotNull a k b = ifNull a b k ifNullM :: (Monad m, Null a) => m a -> m b -> (a -> m b) -> m b ifNullM ma mb k = ma >>= \ a -> ifNull a mb k ifNotNullM :: (Monad m, Null a) => m a -> (a -> m b) -> m b -> m b ifNotNullM ma k mb = ifNullM ma mb k whenNull :: (Monad m, Null a) => a -> m () -> m () whenNull = when . null unlessNull :: (Monad m, Null a) => a -> (a -> m ()) -> m () unlessNull a k = unless (null a) $ k a whenNullM :: (Monad m, Null a) => m a -> m () -> m () whenNullM ma k = ma >>= (`whenNull` k) unlessNullM :: (Monad m, Null a) => m a -> (a -> m ()) -> m () unlessNullM ma k = ma >>= (`unlessNull` k)