| 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 |
Data.Ord
Description
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.
Ord, as defined by the Haskell report, implements a total order and has the
following properties:
- Comparability
x <= y || y <= x=True- Transitivity
- if
x <= y && y <= z=True, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
The following operator interactions are expected to hold:
x >= y=y <= xx < y=x <= y && x /= yx > y=y < xx < y=compare x y == LTx > y=compare x y == GTx == y=compare x y == EQmin x y == if x <= y then x else y=Truemax 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.
Methods
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 ByteArray Source # | Non-lexicographic ordering. This compares the lengths of the byte arrays first and uses a lexicographic ordering if the lengths are equal. Subject to change between major versions. |
Defined in Data.Array.Byte | |
| Ord All Source # | Since: base-2.1 |
| Ord Any Source # | Since: base-2.1 |
| Ord SomeTypeRep Source # | |
Defined in Data.Typeable.Internal Methods 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 Unique Source # | |
| Ord Version Source # | Since: base-2.1 |
| Ord Void Source # | Since: base-4.8.0.0 |
| Ord CBool Source # | |
Defined in Foreign.C.Types | |
| Ord CChar Source # | |
Defined in Foreign.C.Types | |
| Ord CClock Source # | |
| Ord CDouble Source # | |
| Ord CFloat Source # | |
| Ord CInt Source # | |
| Ord CIntMax Source # | |
| Ord CIntPtr Source # | |
| Ord CLLong Source # | |
| Ord CLong Source # | |
Defined in Foreign.C.Types | |
| Ord CPtrdiff Source # | |
Defined in Foreign.C.Types | |
| Ord CSChar Source # | |
| Ord CSUSeconds Source # | |
Defined in Foreign.C.Types Methods 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 CShort Source # | |
| Ord CSigAtomic Source # | |
Defined in Foreign.C.Types Methods 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 CSize Source # | |
Defined in Foreign.C.Types | |
| Ord CTime Source # | |
Defined in Foreign.C.Types | |
| Ord CUChar Source # | |
| Ord CUInt Source # | |
Defined in Foreign.C.Types | |
| Ord CUIntMax Source # | |
Defined in Foreign.C.Types | |
| Ord CUIntPtr Source # | |
Defined in Foreign.C.Types | |
| Ord CULLong Source # | |
| Ord CULong Source # | |
| Ord CUSeconds Source # | |
Defined in Foreign.C.Types | |
| Ord CUShort Source # | |
| Ord CWchar Source # | |
| Ord IntPtr Source # | |
| Ord WordPtr Source # | |
| Ord ByteOrder Source # | Since: base-4.11.0.0 |
Defined in GHC.ByteOrder | |
| Ord BlockReason Source # | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods 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 Source # | Since: base-4.2.0.0 |
Defined in GHC.Conc.Sync | |
| Ord ThreadStatus Source # | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods 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 TimeoutKey Source # | |
Defined in GHC.Event.TimeOut Methods 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 ErrorCall Source # | Since: base-4.7.0.0 |
Defined in GHC.Exception | |
| Ord ArithException Source # | Since: base-3.0 |
Defined in GHC.Exception.Type Methods 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 Fingerprint Source # | Since: base-4.4.0.0 |
Defined in GHC.Fingerprint.Type Methods 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 Associativity Source # | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods 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 DecidedStrictness Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 Fixity Source # | Since: base-4.6.0.0 |
| Ord SourceStrictness Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 SeekMode Source # | Since: base-4.2.0.0 |
Defined in GHC.IO.Device | |
| Ord ArrayException Source # | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods 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 Source # | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods 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 ExitCode Source # | |
Defined in GHC.IO.Exception | |
| Ord BufferMode Source # | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types Methods 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 Newline Source # | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types | |
| Ord NewlineMode Source # | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types Methods 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 IOMode Source # | Since: base-4.2.0.0 |
| Ord Int16 Source # | Since: base-2.1 |
Defined in GHC.Int | |
| Ord Int32 Source # | Since: base-2.1 |
Defined in GHC.Int | |
| Ord Int64 Source # | Since: base-2.1 |
Defined in GHC.Int | |
| Ord Int8 Source # | Since: base-2.1 |
| Ord SomeChar Source # | |
Defined in GHC.TypeLits | |
| Ord SomeSymbol Source # | Since: base-4.7.0.0 |
Defined in GHC.TypeLits Methods 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 SomeNat Source # | Since: base-4.7.0.0 |
| Ord GeneralCategory Source # | Since: base-2.1 |
Defined in GHC.Unicode Methods 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 Word16 Source # | Since: base-2.1 |
| Ord Word32 Source # | Since: base-2.1 |
| Ord Word64 Source # | Since: base-2.1 |
| Ord Word8 Source # | Since: base-2.1 |
Defined in GHC.Word | |
| Ord CBlkCnt Source # | |
Defined in System.Posix.Types | |
| Ord CBlkSize Source # | |
Defined in System.Posix.Types | |
| Ord CCc Source # | |
| Ord CClockId Source # | |
Defined in System.Posix.Types | |
| Ord CDev Source # | |
| Ord CFsBlkCnt Source # | |
Defined in System.Posix.Types | |
| Ord CFsFilCnt Source # | |
Defined in System.Posix.Types | |
| Ord CGid Source # | |
| Ord CId Source # | |
| Ord CIno Source # | |
| Ord CKey Source # | |
| Ord CMode Source # | |
Defined in System.Posix.Types | |
| Ord CNfds Source # | |
Defined in System.Posix.Types | |
| Ord CNlink Source # | |
| Ord COff Source # | |
| Ord CPid Source # | |
| Ord CRLim Source # | |
Defined in System.Posix.Types | |
| Ord CSocklen Source # | |
Defined in System.Posix.Types | |
| Ord CSpeed Source # | |
| Ord CSsize Source # | |
| Ord CTcflag Source # | |
Defined in System.Posix.Types | |
| Ord CTimer Source # | |
| Ord CUid Source # | |
| Ord Fd Source # | |
| Ord BigNat | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Ord TyCon | |
Defined in GHC.Classes | |
| Ord Integer | |
| Ord Natural | |
| Ord () | |
| Ord Bool | |
| Ord Char | |
| Ord Double | Note that due to the presence of
Also note that, due to the same,
|
| Ord Float | Note that due to the presence of
Also note that, due to the same,
|
Defined in GHC.Classes | |
| Ord Int | |
| Ord Word | |
| Ord a => Ord (ZipList a) Source # | Since: base-4.7.0.0 |
Defined in Control.Applicative | |
| Ord a => Ord (Identity a) Source # | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods 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 (First a) Source # | Since: base-2.1 |
| Ord a => Ord (Last a) Source # | Since: base-2.1 |
| Ord a => Ord (Down a) Source # | Since: base-4.6.0.0 |
| Ord a => Ord (First a) Source # | Since: base-4.9.0.0 |
| Ord a => Ord (Last a) Source # | Since: base-4.9.0.0 |
| Ord a => Ord (Max a) Source # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ord a => Ord (Min a) Source # | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ord m => Ord (WrappedMonoid m) Source # | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods 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 (Dual a) Source # | Since: base-2.1 |
| Ord a => Ord (Product a) Source # | Since: base-2.1 |
Defined in Data.Semigroup.Internal | |
| Ord a => Ord (Sum a) Source # | Since: base-2.1 |
Defined in Data.Semigroup.Internal | |
| Ord (ForeignPtr a) Source # | Since: base-2.1 |
Defined in GHC.ForeignPtr Methods 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 p => Ord (Par1 p) Source # | Since: base-4.7.0.0 |
| Ord (FunPtr a) Source # | |
Defined in GHC.Ptr | |
| Ord (Ptr a) Source # | Since: base-2.1 |
Defined in GHC.Ptr | |
| Integral a => Ord (Ratio a) Source # | Since: base-2.0.1 |
| Ord a => Ord (NonEmpty a) Source # | Since: base-4.9.0.0 |
Defined in GHC.Base Methods 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 (Maybe a) Source # | Since: base-2.1 |
| Ord a => Ord (a) | |
| Ord a => Ord [a] | |
| (Ord a, Ord b) => Ord (Either a b) Source # | Since: base-2.1 |
Defined in Data.Either Methods 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 (Fixed a) Source # | Since: base-2.1 |
| Ord (Proxy s) Source # | Since: base-4.7.0.0 |
| Ord a => Ord (Arg a b) Source # | Since: base-4.9.0.0 |
| Ord (TypeRep a) Source # | Since: base-4.4.0.0 |
Defined in Data.Typeable.Internal | |
| (Ix i, Ord e) => Ord (Array i e) Source # | Since: base-2.1 |
Defined in GHC.Arr | |
| Ord (U1 p) Source # | Since: base-4.7.0.0 |
| Ord (V1 p) Source # | Since: base-4.9.0.0 |
| (Ord a, Ord b) => Ord (a, b) | |
| Ord a => Ord (Const a b) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| Ord (f a) => Ord (Ap f a) Source # | Since: base-4.12.0.0 |
| Ord (f a) => Ord (Alt f a) Source # | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
| Ord (Coercion a b) Source # | Since: base-4.7.0.0 |
Defined in Data.Type.Coercion Methods 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 (a :~: b) Source # | Since: base-4.7.0.0 |
Defined in Data.Type.Equality | |
| Ord (f p) => Ord (Rec1 f p) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| Ord (URec (Ptr ()) p) Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 (URec Char p) Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 Double p) Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 Float p) Source # | |
Defined in GHC.Generics Methods 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 Int p) Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 Word p) Source # | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods 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 a, Ord b, Ord c) => Ord (a, b, c) | |
Defined in GHC.Classes | |
| (Ord1 f, Ord1 g, Ord a) => Ord (Product f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods 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 # | |
| (Ord1 f, Ord1 g, Ord a) => Ord (Sum f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum | |
| Ord (a :~~: b) Source # | Since: base-4.10.0.0 |
Defined in Data.Type.Equality Methods 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 # | |
| (Ord (f p), Ord (g p)) => Ord ((f :*: g) p) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics Methods 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) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics Methods 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 c => Ord (K1 i c p) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| (Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) | |
Defined in GHC.Classes Methods 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 # | |
| (Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) Source # | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods 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 (f (g p)) => Ord ((f :.: g) p) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics Methods 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 (M1 i c f p) Source # | Since: base-4.7.0.0 |
Defined in GHC.Generics Methods 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 a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) | |
Defined in GHC.Classes Methods 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 # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) | |
Defined in GHC.Classes Methods 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 Methods 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 Methods 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 Methods 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 Methods 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 Methods 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 Methods 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 Methods 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 Methods 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 Methods 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
| Data Ordering Source # | Since: base-4.0.0.0 |
Defined in Data.Data Methods 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 # | |
| Monoid Ordering Source # | Since: base-2.1 |
| Semigroup Ordering Source # | Since: base-4.9.0.0 |
| Bounded Ordering Source # | Since: base-2.1 |
| Enum Ordering Source # | Since: base-2.1 |
Defined in GHC.Enum Methods 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 # | |
| Generic Ordering Source # | |
| Ix Ordering Source # | Since: base-2.1 |
Defined in GHC.Ix | |
| Read Ordering Source # | Since: base-2.1 |
| Show Ordering Source # | Since: base-2.1 |
| Eq Ordering | |
| Ord Ordering | |
Defined in GHC.Classes | |
| type Rep Ordering Source # | Since: base-4.6.0.0 |
The Down type allows you to reverse sort order conveniently. A value of type
Down aa (represented as Down a
If a has an Ordthen sortWith by .Down x
>>>compare True FalseGT
>>>compare (Down True) (Down False)LT
If a has a BoundedminBoundmaxBound
>>>minBound :: Int-9223372036854775808
>>>minBound :: Down IntDown 9223372036854775807
All other instances of Down aa.
Since: base-4.6.0.0
Instances
| MonadFix Down Source # | Since: base-4.12.0.0 |
| MonadZip Down Source # | Since: base-4.12.0.0 |
| Foldable Down Source # | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods 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 # | |
| Eq1 Down Source # | Since: base-4.12.0.0 |
| Ord1 Down Source # | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Down Source # | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes Methods 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 # | |
| Show1 Down Source # | Since: base-4.12.0.0 |
| Traversable Down Source # | Since: base-4.12.0.0 |
| Applicative Down Source # | Since: base-4.11.0.0 |
| Functor Down Source # | Since: base-4.11.0.0 |
| Monad Down Source # | Since: base-4.11.0.0 |
| Generic1 Down Source # | |
| Data a => Data (Down a) Source # | Since: base-4.12.0.0 |
Defined in Data.Data Methods 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 # | |
| Storable a => Storable (Down a) Source # | Since: base-4.14.0.0 |
Defined in Data.Ord Methods 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 # | |
| Monoid a => Monoid (Down a) Source # | Since: base-4.11.0.0 |
| Semigroup a => Semigroup (Down a) Source # | Since: base-4.11.0.0 |
| Bits a => Bits (Down a) Source # | Since: base-4.14.0.0 |
Defined in Data.Ord Methods (.&.) :: 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 # | |
| FiniteBits a => FiniteBits (Down a) Source # | Since: base-4.14.0.0 |
| Bounded a => Bounded (Down a) Source # | Swaps Since: base-4.14.0.0 |
| Floating a => Floating (Down a) Source # | Since: base-4.14.0.0 |
Defined in Data.Ord Methods 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 # | |
| RealFloat a => RealFloat (Down a) Source # | Since: base-4.14.0.0 |
Defined in Data.Ord Methods 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 # | |
| Generic (Down a) Source # | |
| Ix a => Ix (Down a) Source # | Since: base-4.14.0.0 |
| Num a => Num (Down a) Source # | Since: base-4.11.0.0 |
| Read a => Read (Down a) Source # | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Fractional a => Fractional (Down a) Source # | Since: base-4.14.0.0 |
| Real a => Real (Down a) Source # | Since: base-4.14.0.0 |
| RealFrac a => RealFrac (Down a) Source # | Since: base-4.14.0.0 |
| Show a => Show (Down a) Source # | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Eq a => Eq (Down a) Source # | Since: base-4.6.0.0 |
| Ord a => Ord (Down a) Source # | Since: base-4.6.0.0 |
| type Rep1 Down Source # | Since: base-4.12.0.0 |
Defined in GHC.Generics | |
| type Rep (Down a) Source # | Since: base-4.12.0.0 |
Defined in GHC.Generics | |
comparing :: Ord a => (b -> a) -> b -> b -> Ordering Source #
comparing p x y = compare (p x) (p y)
Useful combinator for use in conjunction with the xxxBy family
of functions from Data.List, for example:
... sortBy (comparing fst) ...
clamp :: Ord a => (a, a) -> a -> a Source #
clamp (low, high) a = min high (max a low)
Function for ensursing the value a is within the inclusive bounds given by
low and high. If it is, a is returned unchanged. The result
is otherwise low if a <= low, or high if high <= a.
When clamp is used at Double and Float, it has NaN propagating semantics in
its second argument. That is, clamp (l,h) NaN = NaN, but clamp (NaN, NaN)
x = x.
>>>clamp (0, 10) 22
>>>clamp ('a', 'm') 'x''m'