Copyright | (c) The University of Glasgow 2005 |
---|---|
License | BSD-style (see the file libraries/base/LICENSE) |
Maintainer | libraries@haskell.org |
Stability | stable |
Portability | portable |
Safe Haskell | Trustworthy |
Language | Haskell2010 |
Orderings
Documentation
class Eq a => Ord a where Source #
The Ord
class is used for totally ordered datatypes.
Instances of Ord
can be derived for any user-defined datatype whose
constituent types are in Ord
. The declared order of the constructors in
the data declaration determines the ordering in derived Ord
instances. The
Ordering
datatype allows a single comparison to determine the precise
ordering of two objects.
The Haskell Report defines no laws for Ord
. However, <=
is customarily
expected to implement a non-strict partial order and have the following
properties:
- Transitivity
- if
x <= y && y <= z
=True
, thenx <= z
=True
- Reflexivity
x <= x
=True
- Antisymmetry
- if
x <= y && y <= x
=True
, thenx == y
=True
Note that the following operator interactions are expected to hold:
x >= y
=y <= x
x < y
=x <= y && x /= y
x > y
=y < x
x < y
=compare x y == LT
x > y
=compare x y == GT
x == y
=compare x y == EQ
min x y == if x <= y then x else y
=True
max x y == if x >= y then x else y
=True
Note that (7.) and (8.) do not require min
and max
to return either of
their arguments. The result is merely required to equal one of the
arguments in terms of (==)
.
Minimal complete definition: either compare
or <=
.
Using compare
can be more efficient for complex types.
compare :: a -> a -> Ordering Source #
(<) :: a -> a -> Bool infix 4 Source #
(<=) :: a -> a -> Bool infix 4 Source #
(>) :: a -> a -> Bool infix 4 Source #
Instances
Ord Bool | |
Ord Char | |
Ord Double | Note that due to the presence of
Also note that, due to the same,
|
Defined in GHC.Classes | |
Ord Float | Note that due to the presence of
Also note that, due to the same,
|
Defined in GHC.Classes | |
Ord Int | |
Ord Int8 # | Since: base-2.1 |
Ord Int16 # | Since: base-2.1 |
Ord Int32 # | Since: base-2.1 |
Ord Int64 # | Since: base-2.1 |
Ord Integer | |
Ord Natural | |
Ord Ordering | |
Defined in GHC.Classes | |
Ord Word | |
Ord Word8 # | Since: base-2.1 |
Ord Word16 # | Since: base-2.1 |
Defined in GHC.Word | |
Ord Word32 # | Since: base-2.1 |
Defined in GHC.Word | |
Ord Word64 # | Since: base-2.1 |
Defined in GHC.Word | |
Ord SomeTypeRep # | |
Defined in Data.Typeable.Internal compare :: SomeTypeRep -> SomeTypeRep -> Ordering Source # (<) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>) :: SomeTypeRep -> SomeTypeRep -> Bool Source # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool Source # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source # | |
Ord () | |
Ord TyCon | |
Defined in GHC.Classes | |
Ord Version # | Since: base-2.1 |
Ord GeneralCategory # | Since: base-2.1 |
Defined in GHC.Unicode compare :: GeneralCategory -> GeneralCategory -> Ordering Source # (<) :: GeneralCategory -> GeneralCategory -> Bool Source # (<=) :: GeneralCategory -> GeneralCategory -> Bool Source # (>) :: GeneralCategory -> GeneralCategory -> Bool Source # (>=) :: GeneralCategory -> GeneralCategory -> Bool Source # max :: GeneralCategory -> GeneralCategory -> GeneralCategory Source # min :: GeneralCategory -> GeneralCategory -> GeneralCategory Source # | |
Ord Fingerprint # | Since: base-4.4.0.0 |
Defined in GHC.Fingerprint.Type compare :: Fingerprint -> Fingerprint -> Ordering Source # (<) :: Fingerprint -> Fingerprint -> Bool Source # (<=) :: Fingerprint -> Fingerprint -> Bool Source # (>) :: Fingerprint -> Fingerprint -> Bool Source # (>=) :: Fingerprint -> Fingerprint -> Bool Source # max :: Fingerprint -> Fingerprint -> Fingerprint Source # min :: Fingerprint -> Fingerprint -> Fingerprint Source # | |
Ord IOMode # | Since: base-4.2.0.0 |
Defined in GHC.IO.IOMode | |
Ord SomeNat # | Since: base-4.7.0.0 |
Ord SomeSymbol # | Since: base-4.7.0.0 |
Defined in GHC.TypeLits compare :: SomeSymbol -> SomeSymbol -> Ordering Source # (<) :: SomeSymbol -> SomeSymbol -> Bool Source # (<=) :: SomeSymbol -> SomeSymbol -> Bool Source # (>) :: SomeSymbol -> SomeSymbol -> Bool Source # (>=) :: SomeSymbol -> SomeSymbol -> Bool Source # max :: SomeSymbol -> SomeSymbol -> SomeSymbol Source # min :: SomeSymbol -> SomeSymbol -> SomeSymbol Source # | |
Ord IntPtr # | |
Defined in Foreign.Ptr | |
Ord WordPtr # | |
Ord CUIntMax # | |
Defined in Foreign.C.Types | |
Ord CIntMax # | |
Ord CUIntPtr # | |
Defined in Foreign.C.Types | |
Ord CIntPtr # | |
Ord CSUSeconds # | |
Defined in Foreign.C.Types compare :: CSUSeconds -> CSUSeconds -> Ordering Source # (<) :: CSUSeconds -> CSUSeconds -> Bool Source # (<=) :: CSUSeconds -> CSUSeconds -> Bool Source # (>) :: CSUSeconds -> CSUSeconds -> Bool Source # (>=) :: CSUSeconds -> CSUSeconds -> Bool Source # max :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # min :: CSUSeconds -> CSUSeconds -> CSUSeconds Source # | |
Ord CUSeconds # | |
Defined in Foreign.C.Types | |
Ord CTime # | |
Defined in Foreign.C.Types | |
Ord CClock # | |
Defined in Foreign.C.Types | |
Ord CSigAtomic # | |
Defined in Foreign.C.Types compare :: CSigAtomic -> CSigAtomic -> Ordering Source # (<) :: CSigAtomic -> CSigAtomic -> Bool Source # (<=) :: CSigAtomic -> CSigAtomic -> Bool Source # (>) :: CSigAtomic -> CSigAtomic -> Bool Source # (>=) :: CSigAtomic -> CSigAtomic -> Bool Source # max :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # min :: CSigAtomic -> CSigAtomic -> CSigAtomic Source # | |
Ord CWchar # | |
Defined in Foreign.C.Types | |
Ord CSize # | |
Defined in Foreign.C.Types | |
Ord CPtrdiff # | |
Defined in Foreign.C.Types | |
Ord CDouble # | |
Ord CFloat # | |
Defined in Foreign.C.Types | |
Ord CBool # | |
Defined in Foreign.C.Types | |
Ord CULLong # | |
Ord CLLong # | |
Defined in Foreign.C.Types | |
Ord CULong # | |
Defined in Foreign.C.Types | |
Ord CLong # | |
Defined in Foreign.C.Types | |
Ord CUInt # | |
Defined in Foreign.C.Types | |
Ord CInt # | |
Ord CUShort # | |
Ord CShort # | |
Defined in Foreign.C.Types | |
Ord CUChar # | |
Defined in Foreign.C.Types | |
Ord CSChar # | |
Defined in Foreign.C.Types | |
Ord CChar # | |
Defined in Foreign.C.Types | |
Ord DecidedStrictness # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: DecidedStrictness -> DecidedStrictness -> Ordering Source # (<) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>) :: DecidedStrictness -> DecidedStrictness -> Bool Source # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool Source # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness Source # | |
Ord SourceStrictness # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: SourceStrictness -> SourceStrictness -> Ordering Source # (<) :: SourceStrictness -> SourceStrictness -> Bool Source # (<=) :: SourceStrictness -> SourceStrictness -> Bool Source # (>) :: SourceStrictness -> SourceStrictness -> Bool Source # (>=) :: SourceStrictness -> SourceStrictness -> Bool Source # max :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # min :: SourceStrictness -> SourceStrictness -> SourceStrictness Source # | |
Ord SourceUnpackedness # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering Source # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool Source # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness Source # | |
Ord Associativity # | Since: base-4.6.0.0 |
Defined in GHC.Generics compare :: Associativity -> Associativity -> Ordering Source # (<) :: Associativity -> Associativity -> Bool Source # (<=) :: Associativity -> Associativity -> Bool Source # (>) :: Associativity -> Associativity -> Bool Source # (>=) :: Associativity -> Associativity -> Bool Source # max :: Associativity -> Associativity -> Associativity Source # min :: Associativity -> Associativity -> Associativity Source # | |
Ord Fixity # | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
Ord Any # | Since: base-2.1 |
Ord All # | Since: base-2.1 |
Ord ArithException # | Since: base-3.0 |
Defined in GHC.Exception.Type compare :: ArithException -> ArithException -> Ordering Source # (<) :: ArithException -> ArithException -> Bool Source # (<=) :: ArithException -> ArithException -> Bool Source # (>) :: ArithException -> ArithException -> Bool Source # (>=) :: ArithException -> ArithException -> Bool Source # max :: ArithException -> ArithException -> ArithException Source # min :: ArithException -> ArithException -> ArithException Source # | |
Ord ErrorCall # | Since: base-4.7.0.0 |
Defined in GHC.Exception | |
Ord SeekMode # | Since: base-4.2.0.0 |
Defined in GHC.IO.Device | |
Ord NewlineMode # | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types compare :: NewlineMode -> NewlineMode -> Ordering Source # (<) :: NewlineMode -> NewlineMode -> Bool Source # (<=) :: NewlineMode -> NewlineMode -> Bool Source # (>) :: NewlineMode -> NewlineMode -> Bool Source # (>=) :: NewlineMode -> NewlineMode -> Bool Source # max :: NewlineMode -> NewlineMode -> NewlineMode Source # min :: NewlineMode -> NewlineMode -> NewlineMode Source # | |
Ord Newline # | Since: base-4.3.0.0 |
Ord BufferMode # | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types compare :: BufferMode -> BufferMode -> Ordering Source # (<) :: BufferMode -> BufferMode -> Bool Source # (<=) :: BufferMode -> BufferMode -> Bool Source # (>) :: BufferMode -> BufferMode -> Bool Source # (>=) :: BufferMode -> BufferMode -> Bool Source # max :: BufferMode -> BufferMode -> BufferMode Source # min :: BufferMode -> BufferMode -> BufferMode Source # | |
Ord ExitCode # | |
Defined in GHC.IO.Exception | |
Ord ArrayException # | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception compare :: ArrayException -> ArrayException -> Ordering Source # (<) :: ArrayException -> ArrayException -> Bool Source # (<=) :: ArrayException -> ArrayException -> Bool Source # (>) :: ArrayException -> ArrayException -> Bool Source # (>=) :: ArrayException -> ArrayException -> Bool Source # max :: ArrayException -> ArrayException -> ArrayException Source # min :: ArrayException -> ArrayException -> ArrayException Source # | |
Ord AsyncException # | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception compare :: AsyncException -> AsyncException -> Ordering Source # (<) :: AsyncException -> AsyncException -> Bool Source # (<=) :: AsyncException -> AsyncException -> Bool Source # (>) :: AsyncException -> AsyncException -> Bool Source # (>=) :: AsyncException -> AsyncException -> Bool Source # max :: AsyncException -> AsyncException -> AsyncException Source # min :: AsyncException -> AsyncException -> AsyncException Source # | |
Ord TimeoutKey # | |
Defined in GHC.Event.TimeOut compare :: TimeoutKey -> TimeoutKey -> Ordering Source # (<) :: TimeoutKey -> TimeoutKey -> Bool Source # (<=) :: TimeoutKey -> TimeoutKey -> Bool Source # (>) :: TimeoutKey -> TimeoutKey -> Bool Source # (>=) :: TimeoutKey -> TimeoutKey -> Bool Source # max :: TimeoutKey -> TimeoutKey -> TimeoutKey Source # min :: TimeoutKey -> TimeoutKey -> TimeoutKey Source # | |
Ord Fd # | |
Ord CNfds # | |
Defined in System.Posix.Types | |
Ord CSocklen # | |
Defined in System.Posix.Types | |
Ord CTimer # | |
Defined in System.Posix.Types | |
Ord CKey # | |
Ord CId # | |
Ord CFsFilCnt # | |
Defined in System.Posix.Types | |
Ord CFsBlkCnt # | |
Defined in System.Posix.Types | |
Ord CClockId # | |
Defined in System.Posix.Types | |
Ord CBlkCnt # | |
Ord CBlkSize # | |
Defined in System.Posix.Types | |
Ord CRLim # | |
Defined in System.Posix.Types | |
Ord CTcflag # | |
Ord CSpeed # | |
Defined in System.Posix.Types | |
Ord CCc # | |
Ord CUid # | |
Ord CNlink # | |
Defined in System.Posix.Types | |
Ord CGid # | |
Ord CSsize # | |
Defined in System.Posix.Types | |
Ord CPid # | |
Ord COff # | |
Ord CMode # | |
Defined in System.Posix.Types | |
Ord CIno # | |
Ord CDev # | |
Ord ThreadStatus # | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync compare :: ThreadStatus -> ThreadStatus -> Ordering Source # (<) :: ThreadStatus -> ThreadStatus -> Bool Source # (<=) :: ThreadStatus -> ThreadStatus -> Bool Source # (>) :: ThreadStatus -> ThreadStatus -> Bool Source # (>=) :: ThreadStatus -> ThreadStatus -> Bool Source # max :: ThreadStatus -> ThreadStatus -> ThreadStatus Source # min :: ThreadStatus -> ThreadStatus -> ThreadStatus Source # | |
Ord BlockReason # | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync compare :: BlockReason -> BlockReason -> Ordering Source # (<) :: BlockReason -> BlockReason -> Bool Source # (<=) :: BlockReason -> BlockReason -> Bool Source # (>) :: BlockReason -> BlockReason -> Bool Source # (>=) :: BlockReason -> BlockReason -> Bool Source # max :: BlockReason -> BlockReason -> BlockReason Source # min :: BlockReason -> BlockReason -> BlockReason Source # | |
Ord ThreadId # | Since: base-4.2.0.0 |
Defined in GHC.Conc.Sync | |
Ord ByteOrder # | Since: base-4.11.0.0 |
Defined in GHC.ByteOrder | |
Ord Unique # | |
Defined in Data.Unique | |
Ord Void # | Since: base-4.8.0.0 |
Ord a => Ord [a] | |
Ord a => Ord (Maybe a) # | Since: base-2.1 |
Integral a => Ord (Ratio a) # | Since: base-2.0.1 |
Ord (Ptr a) # | Since: base-2.1 |
Ord (FunPtr a) # | |
Ord p => Ord (Par1 p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
Ord a => Ord (NonEmpty a) # | Since: base-4.9.0.0 |
Defined in GHC.Base compare :: NonEmpty a -> NonEmpty a -> Ordering Source # (<) :: NonEmpty a -> NonEmpty a -> Bool Source # (<=) :: NonEmpty a -> NonEmpty a -> Bool Source # (>) :: NonEmpty a -> NonEmpty a -> Bool Source # (>=) :: NonEmpty a -> NonEmpty a -> Bool Source # | |
Ord a => Ord (Down a) # | Since: base-4.6.0.0 |
Defined in Data.Ord | |
Ord a => Ord (Product a) # | Since: base-2.1 |
Defined in Data.Semigroup.Internal | |
Ord a => Ord (Sum a) # | Since: base-2.1 |
Defined in Data.Semigroup.Internal | |
Ord a => Ord (Dual a) # | Since: base-2.1 |
Defined in Data.Semigroup.Internal | |
Ord a => Ord (Last a) # | Since: base-2.1 |
Defined in Data.Monoid | |
Ord a => Ord (First a) # | Since: base-2.1 |
Ord (ForeignPtr a) # | Since: base-2.1 |
Defined in GHC.ForeignPtr compare :: ForeignPtr a -> ForeignPtr a -> Ordering Source # (<) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (<=) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (>) :: ForeignPtr a -> ForeignPtr a -> Bool Source # (>=) :: ForeignPtr a -> ForeignPtr a -> Bool Source # max :: ForeignPtr a -> ForeignPtr a -> ForeignPtr a Source # min :: ForeignPtr a -> ForeignPtr a -> ForeignPtr a Source # | |
Ord a => Ord (Identity a) # | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity compare :: Identity a -> Identity a -> Ordering Source # (<) :: Identity a -> Identity a -> Bool Source # (<=) :: Identity a -> Identity a -> Bool Source # (>) :: Identity a -> Identity a -> Bool Source # (>=) :: Identity a -> Identity a -> Bool Source # | |
Ord a => Ord (ZipList a) # | Since: base-4.7.0.0 |
Defined in Control.Applicative | |
Ord a => Ord (Option a) # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
Ord m => Ord (WrappedMonoid m) # | Since: base-4.9.0.0 |
Defined in Data.Semigroup compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering Source # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool Source # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m Source # | |
Ord a => Ord (Last a) # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
Ord a => Ord (First a) # | Since: base-4.9.0.0 |
Ord a => Ord (Max a) # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
Ord a => Ord (Min a) # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
(Ord a, Ord b) => Ord (Either a b) # | Since: base-2.1 |
Defined in Data.Either compare :: Either a b -> Either a b -> Ordering Source # (<) :: Either a b -> Either a b -> Bool Source # (<=) :: Either a b -> Either a b -> Bool Source # (>) :: Either a b -> Either a b -> Bool Source # (>=) :: Either a b -> Either a b -> Bool Source # | |
Ord (V1 p) # | Since: base-4.9.0.0 |
Ord (U1 p) # | Since: base-4.7.0.0 |
Ord (TypeRep a) # | Since: base-4.4.0.0 |
Defined in Data.Typeable.Internal | |
(Ord a, Ord b) => Ord (a, b) | |
Defined in GHC.Classes | |
(Ix i, Ord e) => Ord (Array i e) # | Since: base-2.1 |
Defined in GHC.Arr | |
Ord (Proxy s) # | Since: base-4.7.0.0 |
Ord a => Ord (Arg a b) # | Since: base-4.9.0.0 |
Ord (Fixed a) # | Since: base-2.1 |
Ord (f p) => Ord (Rec1 f p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
Ord (URec Word p) # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: URec Word p -> URec Word p -> Ordering Source # (<) :: URec Word p -> URec Word p -> Bool Source # (<=) :: URec Word p -> URec Word p -> Bool Source # (>) :: URec Word p -> URec Word p -> Bool Source # (>=) :: URec Word p -> URec Word p -> Bool Source # | |
Ord (URec Int p) # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: URec Int p -> URec Int p -> Ordering Source # (<) :: URec Int p -> URec Int p -> Bool Source # (<=) :: URec Int p -> URec Int p -> Bool Source # (>) :: URec Int p -> URec Int p -> Bool Source # (>=) :: URec Int p -> URec Int p -> Bool Source # | |
Ord (URec Float p) # | |
Defined in GHC.Generics compare :: URec Float p -> URec Float p -> Ordering Source # (<) :: URec Float p -> URec Float p -> Bool Source # (<=) :: URec Float p -> URec Float p -> Bool Source # (>) :: URec Float p -> URec Float p -> Bool Source # (>=) :: URec Float p -> URec Float p -> Bool Source # max :: URec Float p -> URec Float p -> URec Float p Source # min :: URec Float p -> URec Float p -> URec Float p Source # | |
Ord (URec Double p) # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: URec Double p -> URec Double p -> Ordering Source # (<) :: URec Double p -> URec Double p -> Bool Source # (<=) :: URec Double p -> URec Double p -> Bool Source # (>) :: URec Double p -> URec Double p -> Bool Source # (>=) :: URec Double p -> URec Double p -> Bool Source # max :: URec Double p -> URec Double p -> URec Double p Source # min :: URec Double p -> URec Double p -> URec Double p Source # | |
Ord (URec Char p) # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: URec Char p -> URec Char p -> Ordering Source # (<) :: URec Char p -> URec Char p -> Bool Source # (<=) :: URec Char p -> URec Char p -> Bool Source # (>) :: URec Char p -> URec Char p -> Bool Source # (>=) :: URec Char p -> URec Char p -> Bool Source # | |
Ord (URec (Ptr ()) p) # | Since: base-4.9.0.0 |
Defined in GHC.Generics compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering Source # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool Source # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p Source # | |
(Ord a, Ord b, Ord c) => Ord (a, b, c) | |
Defined in GHC.Classes | |
Ord (a :~: b) # | Since: base-4.7.0.0 |
Defined in Data.Type.Equality | |
Ord (Coercion a b) # | Since: base-4.7.0.0 |
Defined in Data.Type.Coercion compare :: Coercion a b -> Coercion a b -> Ordering Source # (<) :: Coercion a b -> Coercion a b -> Bool Source # (<=) :: Coercion a b -> Coercion a b -> Bool Source # (>) :: Coercion a b -> Coercion a b -> Bool Source # (>=) :: Coercion a b -> Coercion a b -> Bool Source # max :: Coercion a b -> Coercion a b -> Coercion a b Source # min :: Coercion a b -> Coercion a b -> Coercion a b Source # | |
Ord (f a) => Ord (Alt f a) # | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
Ord (f a) => Ord (Ap f a) # | Since: base-4.12.0.0 |
Defined in Data.Monoid | |
Ord a => Ord (Const a b) # | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
Ord c => Ord (K1 i c p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics compare :: (f :+: g) p -> (f :+: g) p -> Ordering Source # (<) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>) :: (f :+: g) p -> (f :+: g) p -> Bool Source # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool Source # | |
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics compare :: (f :*: g) p -> (f :*: g) p -> Ordering Source # (<) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (<=) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (>) :: (f :*: g) p -> (f :*: g) p -> Bool Source # (>=) :: (f :*: g) p -> (f :*: g) p -> Bool Source # | |
(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) | |
Defined in GHC.Classes compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering Source # (<) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # (>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool Source # max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source # | |
Ord (a :~~: b) # | Since: base-4.10.0.0 |
Defined in Data.Type.Equality compare :: (a :~~: b) -> (a :~~: b) -> Ordering Source # (<) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (<=) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (>) :: (a :~~: b) -> (a :~~: b) -> Bool Source # (>=) :: (a :~~: b) -> (a :~~: b) -> Bool Source # | |
(Ord1 f, Ord1 g, Ord a) => Ord (Sum f g a) # | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum | |
(Ord1 f, Ord1 g, Ord a) => Ord (Product f g a) # | Since: base-4.9.0.0 |
Defined in Data.Functor.Product compare :: Product f g a -> Product f g a -> Ordering Source # (<) :: Product f g a -> Product f g a -> Bool Source # (<=) :: Product f g a -> Product f g a -> Bool Source # (>) :: Product f g a -> Product f g a -> Bool Source # (>=) :: Product f g a -> Product f g a -> Bool Source # max :: Product f g a -> Product f g a -> Product f g a Source # min :: Product f g a -> Product f g a -> Product f g a Source # | |
Ord (f p) => Ord (M1 i c f p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics compare :: M1 i c f p -> M1 i c f p -> Ordering Source # (<) :: M1 i c f p -> M1 i c f p -> Bool Source # (<=) :: M1 i c f p -> M1 i c f p -> Bool Source # (>) :: M1 i c f p -> M1 i c f p -> Bool Source # (>=) :: M1 i c f p -> M1 i c f p -> Bool Source # | |
Ord (f (g p)) => Ord ((f :.: g) p) # | Since: base-4.7.0.0 |
Defined in GHC.Generics compare :: (f :.: g) p -> (f :.: g) p -> Ordering Source # (<) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (<=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>) :: (f :.: g) p -> (f :.: g) p -> Bool Source # (>=) :: (f :.: g) p -> (f :.: g) p -> Bool Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) | |
Defined in GHC.Classes compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering Source # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool Source # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source # | |
(Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose compare :: Compose f g a -> Compose f g a -> Ordering Source # (<) :: Compose f g a -> Compose f g a -> Bool Source # (<=) :: Compose f g a -> Compose f g a -> Bool Source # (>) :: Compose f g a -> Compose f g a -> Bool Source # (>=) :: Compose f g a -> Compose f g a -> Bool Source # max :: Compose f g a -> Compose f g a -> Compose f g a Source # min :: Compose f g a -> Compose f g a -> Compose f g a Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering Source # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool Source # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering Source # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool Source # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool Source # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) Source # | |
(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | |
Defined in GHC.Classes compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering Source # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool Source # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) Source # |
Instances
Bounded Ordering # | Since: base-2.1 |
Enum Ordering # | Since: base-2.1 |
Defined in GHC.Enum succ :: Ordering -> Ordering Source # pred :: Ordering -> Ordering Source # toEnum :: Int -> Ordering Source # fromEnum :: Ordering -> Int Source # enumFrom :: Ordering -> [Ordering] Source # enumFromThen :: Ordering -> Ordering -> [Ordering] Source # enumFromTo :: Ordering -> Ordering -> [Ordering] Source # enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source # | |
Eq Ordering | |
Data Ordering # | Since: base-4.0.0.0 |
Defined in Data.Data gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ordering -> c Ordering Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering Source # toConstr :: Ordering -> Constr Source # dataTypeOf :: Ordering -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Ordering) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Ordering) Source # gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source # | |
Ord Ordering | |
Defined in GHC.Classes | |
Read Ordering # | Since: base-2.1 |
Show Ordering # | Since: base-2.1 |
Ix Ordering # | Since: base-2.1 |
Generic Ordering # | Since: base-4.6.0.0 |
Semigroup Ordering # | Since: base-4.9.0.0 |
Monoid Ordering # | Since: base-2.1 |
type Rep Ordering # | |
The Down
type allows you to reverse sort order conveniently. A value of type
contains a value of type Down
aa
(represented as
).Down
a
If a
has an
instance associated with it then comparing two
values thus wrapped will give you the opposite of their normal sort order.
This is particularly useful when sorting in generalised list comprehensions,
as in: Ord
then sortWith by
.Down
x
>>>
compare True False
GT
>>>
compare (Down True) (Down False)
LT
If a
has a
instance then the wrapped instance also respects
the reversed ordering by exchanging the values of Bounded
and
minBound
.maxBound
>>>
minBound :: Int
-9223372036854775808
>>>
minBound :: Down Int
Down 9223372036854775807
All other instances of
behave as they do for Down
aa
.
Since: base-4.6.0.0
Instances
Monad Down # | Since: base-4.11.0.0 |
Functor Down # | Since: base-4.11.0.0 |
MonadFix Down # | Since: base-4.12.0.0 |
Applicative Down # | Since: base-4.11.0.0 |
Foldable Down # | Since: base-4.12.0.0 |
Defined in Data.Foldable fold :: Monoid m => Down m -> m Source # foldMap :: Monoid m => (a -> m) -> Down a -> m Source # foldMap' :: Monoid m => (a -> m) -> Down a -> m Source # foldr :: (a -> b -> b) -> b -> Down a -> b Source # foldr' :: (a -> b -> b) -> b -> Down a -> b Source # foldl :: (b -> a -> b) -> b -> Down a -> b Source # foldl' :: (b -> a -> b) -> b -> Down a -> b Source # foldr1 :: (a -> a -> a) -> Down a -> a Source # foldl1 :: (a -> a -> a) -> Down a -> a Source # toList :: Down a -> [a] Source # null :: Down a -> Bool Source # length :: Down a -> Int Source # elem :: Eq a => a -> Down a -> Bool Source # maximum :: Ord a => Down a -> a Source # minimum :: Ord a => Down a -> a Source # | |
Traversable Down # | Since: base-4.12.0.0 |
MonadZip Down # | Since: base-4.12.0.0 |
Show1 Down # | Since: base-4.12.0.0 |
Read1 Down # | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Down a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Down a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Down a] Source # | |
Ord1 Down # | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes | |
Eq1 Down # | Since: base-4.12.0.0 |
Bounded a => Bounded (Down a) # | Swaps Since: base-4.14.0.0 |
Eq a => Eq (Down a) # | Since: base-4.6.0.0 |
Floating a => Floating (Down a) # | Since: base-4.14.0.0 |
Defined in Data.Ord exp :: Down a -> Down a Source # log :: Down a -> Down a Source # sqrt :: Down a -> Down a Source # (**) :: Down a -> Down a -> Down a Source # logBase :: Down a -> Down a -> Down a Source # sin :: Down a -> Down a Source # cos :: Down a -> Down a Source # tan :: Down a -> Down a Source # asin :: Down a -> Down a Source # acos :: Down a -> Down a Source # atan :: Down a -> Down a Source # sinh :: Down a -> Down a Source # cosh :: Down a -> Down a Source # tanh :: Down a -> Down a Source # asinh :: Down a -> Down a Source # acosh :: Down a -> Down a Source # atanh :: Down a -> Down a Source # log1p :: Down a -> Down a Source # expm1 :: Down a -> Down a Source # | |
Fractional a => Fractional (Down a) # | Since: base-4.14.0.0 |
Data a => Data (Down a) # | Since: base-4.12.0.0 |
Defined in Data.Data gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Down a -> c (Down a) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Down a) Source # toConstr :: Down a -> Constr Source # dataTypeOf :: Down a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Down a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Down a)) Source # gmapT :: (forall b. Data b => b -> b) -> Down a -> Down a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Down a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Down a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) Source # | |
Num a => Num (Down a) # | Since: base-4.11.0.0 |
Ord a => Ord (Down a) # | Since: base-4.6.0.0 |
Defined in Data.Ord | |
Read a => Read (Down a) # | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
Real a => Real (Down a) # | Since: base-4.14.0.0 |
RealFloat a => RealFloat (Down a) # | Since: base-4.14.0.0 |
Defined in Data.Ord floatRadix :: Down a -> Integer Source # floatDigits :: Down a -> Int Source # floatRange :: Down a -> (Int, Int) Source # decodeFloat :: Down a -> (Integer, Int) Source # encodeFloat :: Integer -> Int -> Down a Source # exponent :: Down a -> Int Source # significand :: Down a -> Down a Source # scaleFloat :: Int -> Down a -> Down a Source # isNaN :: Down a -> Bool Source # isInfinite :: Down a -> Bool Source # isDenormalized :: Down a -> Bool Source # isNegativeZero :: Down a -> Bool Source # | |
RealFrac a => RealFrac (Down a) # | Since: base-4.14.0.0 |
Show a => Show (Down a) # | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
Ix a => Ix (Down a) # | Since: base-4.14.0.0 |
Generic (Down a) # | Since: base-4.12.0.0 |
Semigroup a => Semigroup (Down a) # | Since: base-4.11.0.0 |
Monoid a => Monoid (Down a) # | Since: base-4.11.0.0 |
FiniteBits a => FiniteBits (Down a) # | Since: base-4.14.0.0 |
Bits a => Bits (Down a) # | Since: base-4.14.0.0 |
Defined in Data.Ord (.&.) :: Down a -> Down a -> Down a Source # (.|.) :: Down a -> Down a -> Down a Source # xor :: Down a -> Down a -> Down a Source # complement :: Down a -> Down a Source # shift :: Down a -> Int -> Down a Source # rotate :: Down a -> Int -> Down a Source # setBit :: Down a -> Int -> Down a Source # clearBit :: Down a -> Int -> Down a Source # complementBit :: Down a -> Int -> Down a Source # testBit :: Down a -> Int -> Bool Source # bitSizeMaybe :: Down a -> Maybe Int Source # bitSize :: Down a -> Int Source # isSigned :: Down a -> Bool Source # shiftL :: Down a -> Int -> Down a Source # unsafeShiftL :: Down a -> Int -> Down a Source # shiftR :: Down a -> Int -> Down a Source # unsafeShiftR :: Down a -> Int -> Down a Source # rotateL :: Down a -> Int -> Down a Source # | |
Storable a => Storable (Down a) # | Since: base-4.14.0.0 |
Defined in Data.Ord sizeOf :: Down a -> Int Source # alignment :: Down a -> Int Source # peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) Source # pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () Source # peekByteOff :: Ptr b -> Int -> IO (Down a) Source # pokeByteOff :: Ptr b -> Int -> Down a -> IO () Source # | |
Generic1 Down # | Since: base-4.12.0.0 |
type Rep (Down a) # | |
Defined in GHC.Generics | |
type Rep1 Down # | |
Defined in GHC.Generics |