@@ -1,14 +1,115 @@
1+{-# LANGUAGE CPP #-}
12{-# LANGUAGE DefaultSignatures #-}
3+{-# LANGUAGE GeneralizedNewtypeDeriving #-}
4+{-# LANGUAGE StandaloneDeriving #-}
5+{-# LANGUAGE TypeOperators #-}
26
37-- TODO upstream somwhere else?
48module Data.Monoid.DecidablyEmpty where
59
10+import Data.Functor.Identity
11+import Data.Functor.Const
12+import Data.Monoid
13+import Data.Maybe (isNothing)
14+#if MIN_VERSION_base(4,11,0)
15+import Data.Ord
16+#endif
617import Data.Proxy
18+import Data.Semigroup hiding (First, Last)
19+#if MIN_VERSION_base(4,12,0)
20+import GHC.Generics
21+#endif
722
23+import qualified Data.IntSet as IntSet
24+import qualified Data.IntMap as IntMap
25+import qualified Data.Map as Map
26+import qualified Data.Sequence as Seq
27+import qualified Data.Set as Set
28+
29+import Data.GADT.Compare
30+import qualified Data.Dependent.Map as DMap
31+
32+-- | A 'DecidablyEmpty' is one where it can be computed whether or not an
33+-- arbitrary value is 'mempty'.
34+--
35+-- By using this class rather than 'Eq', we avoid unnecessary constraining the
36+-- contents of 'Functor's. This makes it possible to efficiently combine and/or
37+-- nest patch maps with 'Eq'-lacking values (e.g. functions) at the leaves.
838class Monoid a => DecidablyEmpty a where
939 isEmpty :: a -> Bool
1040 default isEmpty :: Eq a => a -> Bool
1141 isEmpty = (==) mempty
1242
13−instance DecidablyEmpty (Proxy a) where
14− isEmpty ~Proxy = True
43+-- base
44+
45+instance DecidablyEmpty Ordering
46+instance DecidablyEmpty ()
47+instance DecidablyEmpty Any
48+instance DecidablyEmpty All
49+-- instance DecidablyEmpty Lifetime
50+-- instance DecidablyEmpty Event
51+instance DecidablyEmpty [a] where
52+ isEmpty = null
53+instance
54+#if MIN_VERSION_base(4,11,0)
55+ Semigroup a
56+#else
57+ Monoid a
58+#endif
59+ => DecidablyEmpty (Maybe a) where
60+ isEmpty = isNothing
61+deriving instance (Num a, DecidablyEmpty a) => DecidablyEmpty (Product a)
62+deriving instance (DecidablyEmpty a, Num a) => DecidablyEmpty (Sum a)
63+deriving instance DecidablyEmpty a => DecidablyEmpty (Dual a)
64+instance DecidablyEmpty (First a) where
65+ isEmpty (First a) = isNothing a
66+instance DecidablyEmpty (Last a) where
67+ isEmpty (Last a) = isNothing a
68+deriving instance DecidablyEmpty a => DecidablyEmpty (Identity a)
69+instance Semigroup a => DecidablyEmpty (Option a) where
70+ isEmpty (Option a) = isNothing a
71+deriving instance DecidablyEmpty m => DecidablyEmpty (WrappedMonoid m)
72+instance (Ord a, Bounded a) => DecidablyEmpty (Max a)
73+instance (Ord a, Bounded a) => DecidablyEmpty (Min a)
74+instance DecidablyEmpty (Proxy s)
75+deriving instance DecidablyEmpty a => DecidablyEmpty (Const a b)
76+#if MIN_VERSION_base(4,11,0)
77+deriving instance DecidablyEmpty a => DecidablyEmpty (Down a)
78+#endif
79+#if MIN_VERSION_base(4,12,0)
80+deriving instance DecidablyEmpty p => DecidablyEmpty (Par1 p)
81+instance DecidablyEmpty (U1 p)
82+deriving instance DecidablyEmpty (f p) => DecidablyEmpty (Rec1 f p)
83+deriving instance DecidablyEmpty (f p) => DecidablyEmpty (M1 i c f p)
84+deriving instance DecidablyEmpty c => DecidablyEmpty (K1 i c p)
85+instance (DecidablyEmpty (f p), DecidablyEmpty (g p)) => DecidablyEmpty ((f :*: g) p) where
86+ isEmpty (x :*: y) = isEmpty x && isEmpty y
87+deriving instance DecidablyEmpty (f (g p)) => DecidablyEmpty ((f :.: g) p)
88+#endif
89+
90+instance (DecidablyEmpty a, DecidablyEmpty b) => DecidablyEmpty (a, b) where
91+ isEmpty (a, b) = isEmpty a && isEmpty b
92+instance (DecidablyEmpty a, DecidablyEmpty b, DecidablyEmpty c) => DecidablyEmpty (a, b, c) where
93+ isEmpty (a, b, c) = isEmpty a && isEmpty b && isEmpty c
94+instance (DecidablyEmpty a, DecidablyEmpty b, DecidablyEmpty c, DecidablyEmpty d) => DecidablyEmpty (a, b, c, d) where
95+ isEmpty (a, b, c, d) = isEmpty a && isEmpty b && isEmpty c && isEmpty d
96+instance (DecidablyEmpty a, DecidablyEmpty b, DecidablyEmpty c, DecidablyEmpty d, DecidablyEmpty e) => DecidablyEmpty (a, b, c, d, e) where
97+ isEmpty (a, b, c, d, e) = isEmpty a && isEmpty b && isEmpty c && isEmpty d && isEmpty e
98+
99+-- containers
100+
101+instance DecidablyEmpty IntSet.IntSet where
102+ isEmpty = IntSet.null
103+instance DecidablyEmpty (IntMap.IntMap v) where
104+ isEmpty = IntMap.null
105+instance Ord k => DecidablyEmpty (Map.Map k v) where
106+ isEmpty = Map.null
107+instance DecidablyEmpty (Seq.Seq v) where
108+ isEmpty = Seq.null
109+instance Ord k => DecidablyEmpty (Set.Set k) where
110+ isEmpty = Set.null
111+
112+-- dependent-map
113+
114+instance GCompare k => DecidablyEmpty (DMap.DMap k v) where
115+ isEmpty = DMap.null