ghc-internal-9.1400.0: Basic libraries
Copyright(c) The University of Glasgow 2005
LicenseBSD-style (see the file libraries/base/LICENSE)
Maintainerlibraries@haskell.org
Stabilitystable
Portabilityportable
Safe HaskellTrustworthy
LanguageHaskell2010

GHC.Internal.Data.Ord

Description

Orderings

Synopsis

Documentation

class Eq a => Ord a where #

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, then x <= z = True
Reflexivity
x <= x = True
Antisymmetry
if x <= y && y <= x = True, then x == y = True

The following operator interactions are expected to hold:

  1. x >= y = y <= x
  2. x < y = x <= y && x /= y
  3. x > y = y < x
  4. x < y = compare x y == LT
  5. x > y = compare x y == GT
  6. x == y = compare x y == EQ
  7. min x y == if x <= y then x else y = True
  8. 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 (==). Users who expect a stronger guarantee are advised to write their own min and/or max functions.

The nuance of the above distinction is not always fully internalized by developers, and in the past (tracing back to the Haskell 1.4 Report) the specification for Ord asserted the stronger property that (min x y, max x y) = (x, y) or (y, x), or in other words, that min and max will return one of their arguments, using argument order as the tie-breaker if the arguments are equal by comparison. A few list and Foldable functions have behavior that is best understood with this assumption in mind: all variations of minimumBy and maximumBy (which can't use min and max in their implementations) are written such that minimumBy compare and maximumBy compare are respectively equivalent to minimum and maximum (which do use min and max) only if min and max adhere to this tie-breaking convention. Otherwise, if there are multiple least or largest elements in a container, minimum and maximum may not return the same one that minimumBy compare and maximumBy compare do (though they should return something that is equal). (This is relevant for types with non-extensional equality, like Arg, but also in cases where the precise reference held matters for memory-management reasons.) Unless there is a reason to deviate, it is less confusing for implementors of Ord to respect this same convention (as the default definitions of min and max do).

Minimal complete definition: either compare or <=. Using compare can be more efficient for complex types.

Minimal complete definition

compare | (<=)

Methods

compare :: a -> a -> Ordering #

(<) :: a -> a -> Bool infix 4 #

(<=) :: a -> a -> Bool infix 4 #

(>) :: a -> a -> Bool infix 4 #

(>=) :: a -> a -> Bool infix 4 #

max :: a -> a -> a #

min :: a -> a -> a #

Instances

Instances details
Ord Void #

Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Base

Methods

compare :: Void -> Void -> Ordering #

(<) :: Void -> Void -> Bool #

(<=) :: Void -> Void -> Bool #

(>) :: Void -> Void -> Bool #

(>=) :: Void -> Void -> Bool #

max :: Void -> Void -> Void #

min :: Void -> Void -> Void #

Ord BigNat # 
Instance details

Defined in GHC.Internal.Bignum.BigNat

Ord ByteOrder #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.ByteOrder

Ord ClosureType # 
Instance details

Defined in GHC.Internal.ClosureTypes

Ord BlockReason #

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Conc.Sync

Ord ThreadId #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.Conc.Sync

Ord ThreadStatus #

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.Conc.Sync

Ord All #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: All -> All -> Ordering #

(<) :: All -> All -> Bool #

(<=) :: All -> All -> Bool #

(>) :: All -> All -> Bool #

(>=) :: All -> All -> Bool #

max :: All -> All -> All #

min :: All -> All -> All #

Ord Any #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: Any -> Any -> Ordering #

(<) :: Any -> Any -> Bool #

(<=) :: Any -> Any -> Bool #

(>) :: Any -> Any -> Bool #

(>=) :: Any -> Any -> Bool #

max :: Any -> Any -> Any #

min :: Any -> Any -> Any #

Ord SomeTypeRep # 
Instance details

Defined in GHC.Internal.Data.Typeable.Internal

Ord Unique # 
Instance details

Defined in GHC.Internal.Data.Unique

Ord Version #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Version

Ord TimeoutKey # 
Instance details

Defined in GHC.Internal.Event.TimeOut

Ord ErrorCall #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Exception

Ord ArithException #

Since: base-3.0

Instance details

Defined in GHC.Internal.Exception.Type

Ord Fingerprint #

Since: base-4.4.0.0

Instance details

Defined in GHC.Internal.Fingerprint.Type

Ord CBool # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CBool -> CBool -> Ordering #

(<) :: CBool -> CBool -> Bool #

(<=) :: CBool -> CBool -> Bool #

(>) :: CBool -> CBool -> Bool #

(>=) :: CBool -> CBool -> Bool #

max :: CBool -> CBool -> CBool #

min :: CBool -> CBool -> CBool #

Ord CChar # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CChar -> CChar -> Ordering #

(<) :: CChar -> CChar -> Bool #

(<=) :: CChar -> CChar -> Bool #

(>) :: CChar -> CChar -> Bool #

(>=) :: CChar -> CChar -> Bool #

max :: CChar -> CChar -> CChar #

min :: CChar -> CChar -> CChar #

Ord CClock # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CDouble # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CFloat # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CInt # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CInt -> CInt -> Ordering #

(<) :: CInt -> CInt -> Bool #

(<=) :: CInt -> CInt -> Bool #

(>) :: CInt -> CInt -> Bool #

(>=) :: CInt -> CInt -> Bool #

max :: CInt -> CInt -> CInt #

min :: CInt -> CInt -> CInt #

Ord CIntMax # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CIntPtr # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CLLong # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CLong # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CLong -> CLong -> Ordering #

(<) :: CLong -> CLong -> Bool #

(<=) :: CLong -> CLong -> Bool #

(>) :: CLong -> CLong -> Bool #

(>=) :: CLong -> CLong -> Bool #

max :: CLong -> CLong -> CLong #

min :: CLong -> CLong -> CLong #

Ord CPtrdiff # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CSChar # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CSUSeconds # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CShort # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CSigAtomic # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CSize # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CSize -> CSize -> Ordering #

(<) :: CSize -> CSize -> Bool #

(<=) :: CSize -> CSize -> Bool #

(>) :: CSize -> CSize -> Bool #

(>=) :: CSize -> CSize -> Bool #

max :: CSize -> CSize -> CSize #

min :: CSize -> CSize -> CSize #

Ord CTime # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CTime -> CTime -> Ordering #

(<) :: CTime -> CTime -> Bool #

(<=) :: CTime -> CTime -> Bool #

(>) :: CTime -> CTime -> Bool #

(>=) :: CTime -> CTime -> Bool #

max :: CTime -> CTime -> CTime #

min :: CTime -> CTime -> CTime #

Ord CUChar # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CUInt # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Methods

compare :: CUInt -> CUInt -> Ordering #

(<) :: CUInt -> CUInt -> Bool #

(<=) :: CUInt -> CUInt -> Bool #

(>) :: CUInt -> CUInt -> Bool #

(>=) :: CUInt -> CUInt -> Bool #

max :: CUInt -> CUInt -> CUInt #

min :: CUInt -> CUInt -> CUInt #

Ord CUIntMax # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CUIntPtr # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CULLong # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CULong # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CUSeconds # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CUShort # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord CWchar # 
Instance details

Defined in GHC.Internal.Foreign.C.Types

Ord IntPtr # 
Instance details

Defined in GHC.Internal.Foreign.Ptr

Ord WordPtr # 
Instance details

Defined in GHC.Internal.Foreign.Ptr

Ord Associativity #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

Ord DecidedStrictness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Ord Fixity #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

Ord SourceStrictness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Ord SourceUnpackedness #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Ord PrimType # 
Instance details

Defined in GHC.Internal.Heap.Closures

Ord TsoFlags # 
Instance details

Defined in GHC.Internal.Heap.Closures

Ord WhatNext # 
Instance details

Defined in GHC.Internal.Heap.Closures

Ord WhyBlocked # 
Instance details

Defined in GHC.Internal.Heap.Closures

Ord HalfWord # 
Instance details

Defined in GHC.Internal.Heap.InfoTable.Types

Ord CostCentre # 
Instance details

Defined in GHC.Internal.Heap.ProfInfo.Types

Ord CostCentreStack # 
Instance details

Defined in GHC.Internal.Heap.ProfInfo.Types

Ord IndexTable # 
Instance details

Defined in GHC.Internal.Heap.ProfInfo.Types

Ord StgTSOProfInfo # 
Instance details

Defined in GHC.Internal.Heap.ProfInfo.Types

Ord SeekMode #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.Device

Ord ArrayException #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.Exception

Ord AsyncException #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.Exception

Ord ExitCode # 
Instance details

Defined in GHC.Internal.IO.Exception

Ord BufferMode #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.Handle.Types

Ord Newline #

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.IO.Handle.Types

Ord NewlineMode #

Since: base-4.3.0.0

Instance details

Defined in GHC.Internal.IO.Handle.Types

Ord IOMode #

Since: base-4.2.0.0

Instance details

Defined in GHC.Internal.IO.IOMode

Ord Int16 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Methods

compare :: Int16 -> Int16 -> Ordering #

(<) :: Int16 -> Int16 -> Bool #

(<=) :: Int16 -> Int16 -> Bool #

(>) :: Int16 -> Int16 -> Bool #

(>=) :: Int16 -> Int16 -> Bool #

max :: Int16 -> Int16 -> Int16 #

min :: Int16 -> Int16 -> Int16 #

Ord Int32 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Methods

compare :: Int32 -> Int32 -> Ordering #

(<) :: Int32 -> Int32 -> Bool #

(<=) :: Int32 -> Int32 -> Bool #

(>) :: Int32 -> Int32 -> Bool #

(>=) :: Int32 -> Int32 -> Bool #

max :: Int32 -> Int32 -> Int32 #

min :: Int32 -> Int32 -> Int32 #

Ord Int64 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Methods

compare :: Int64 -> Int64 -> Ordering #

(<) :: Int64 -> Int64 -> Bool #

(<=) :: Int64 -> Int64 -> Bool #

(>) :: Int64 -> Int64 -> Bool #

(>=) :: Int64 -> Int64 -> Bool #

max :: Int64 -> Int64 -> Int64 #

min :: Int64 -> Int64 -> Int64 #

Ord Int8 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Int

Methods

compare :: Int8 -> Int8 -> Ordering #

(<) :: Int8 -> Int8 -> Bool #

(<=) :: Int8 -> Int8 -> Bool #

(>) :: Int8 -> Int8 -> Bool #

(>=) :: Int8 -> Int8 -> Bool #

max :: Int8 -> Int8 -> Int8 #

min :: Int8 -> Int8 -> Int8 #

Ord Extension # 
Instance details

Defined in GHC.Internal.LanguageExtensions

Ord ByteOffset # 
Instance details

Defined in GHC.Internal.Stack.Constants

Ord WordOffset # 
Instance details

Defined in GHC.Internal.Stack.Constants

Ord ByteOffset # 
Instance details

Defined in GHC.Internal.Stack.ConstantsProf

Ord WordOffset # 
Instance details

Defined in GHC.Internal.Stack.ConstantsProf

Ord CBlkCnt # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CBlkSize # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CCc # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CCc -> CCc -> Ordering #

(<) :: CCc -> CCc -> Bool #

(<=) :: CCc -> CCc -> Bool #

(>) :: CCc -> CCc -> Bool #

(>=) :: CCc -> CCc -> Bool #

max :: CCc -> CCc -> CCc #

min :: CCc -> CCc -> CCc #

Ord CClockId # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CDev # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CDev -> CDev -> Ordering #

(<) :: CDev -> CDev -> Bool #

(<=) :: CDev -> CDev -> Bool #

(>) :: CDev -> CDev -> Bool #

(>=) :: CDev -> CDev -> Bool #

max :: CDev -> CDev -> CDev #

min :: CDev -> CDev -> CDev #

Ord CFsBlkCnt # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CFsFilCnt # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CGid # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CGid -> CGid -> Ordering #

(<) :: CGid -> CGid -> Bool #

(<=) :: CGid -> CGid -> Bool #

(>) :: CGid -> CGid -> Bool #

(>=) :: CGid -> CGid -> Bool #

max :: CGid -> CGid -> CGid #

min :: CGid -> CGid -> CGid #

Ord CId # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CId -> CId -> Ordering #

(<) :: CId -> CId -> Bool #

(<=) :: CId -> CId -> Bool #

(>) :: CId -> CId -> Bool #

(>=) :: CId -> CId -> Bool #

max :: CId -> CId -> CId #

min :: CId -> CId -> CId #

Ord CIno # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CIno -> CIno -> Ordering #

(<) :: CIno -> CIno -> Bool #

(<=) :: CIno -> CIno -> Bool #

(>) :: CIno -> CIno -> Bool #

(>=) :: CIno -> CIno -> Bool #

max :: CIno -> CIno -> CIno #

min :: CIno -> CIno -> CIno #

Ord CKey # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CKey -> CKey -> Ordering #

(<) :: CKey -> CKey -> Bool #

(<=) :: CKey -> CKey -> Bool #

(>) :: CKey -> CKey -> Bool #

(>=) :: CKey -> CKey -> Bool #

max :: CKey -> CKey -> CKey #

min :: CKey -> CKey -> CKey #

Ord CMode # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CMode -> CMode -> Ordering #

(<) :: CMode -> CMode -> Bool #

(<=) :: CMode -> CMode -> Bool #

(>) :: CMode -> CMode -> Bool #

(>=) :: CMode -> CMode -> Bool #

max :: CMode -> CMode -> CMode #

min :: CMode -> CMode -> CMode #

Ord CNfds # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CNfds -> CNfds -> Ordering #

(<) :: CNfds -> CNfds -> Bool #

(<=) :: CNfds -> CNfds -> Bool #

(>) :: CNfds -> CNfds -> Bool #

(>=) :: CNfds -> CNfds -> Bool #

max :: CNfds -> CNfds -> CNfds #

min :: CNfds -> CNfds -> CNfds #

Ord CNlink # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord COff # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: COff -> COff -> Ordering #

(<) :: COff -> COff -> Bool #

(<=) :: COff -> COff -> Bool #

(>) :: COff -> COff -> Bool #

(>=) :: COff -> COff -> Bool #

max :: COff -> COff -> COff #

min :: COff -> COff -> COff #

Ord CPid # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CPid -> CPid -> Ordering #

(<) :: CPid -> CPid -> Bool #

(<=) :: CPid -> CPid -> Bool #

(>) :: CPid -> CPid -> Bool #

(>=) :: CPid -> CPid -> Bool #

max :: CPid -> CPid -> CPid #

min :: CPid -> CPid -> CPid #

Ord CRLim # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CRLim -> CRLim -> Ordering #

(<) :: CRLim -> CRLim -> Bool #

(<=) :: CRLim -> CRLim -> Bool #

(>) :: CRLim -> CRLim -> Bool #

(>=) :: CRLim -> CRLim -> Bool #

max :: CRLim -> CRLim -> CRLim #

min :: CRLim -> CRLim -> CRLim #

Ord CSocklen # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CSpeed # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CSsize # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CTcflag # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CTimer # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Ord CUid # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: CUid -> CUid -> Ordering #

(<) :: CUid -> CUid -> Bool #

(<=) :: CUid -> CUid -> Bool #

(>) :: CUid -> CUid -> Bool #

(>=) :: CUid -> CUid -> Bool #

max :: CUid -> CUid -> CUid #

min :: CUid -> CUid -> CUid #

Ord Fd # 
Instance details

Defined in GHC.Internal.System.Posix.Types

Methods

compare :: Fd -> Fd -> Ordering #

(<) :: Fd -> Fd -> Bool #

(<=) :: Fd -> Fd -> Bool #

(>) :: Fd -> Fd -> Bool #

(>=) :: Fd -> Fd -> Bool #

max :: Fd -> Fd -> Fd #

min :: Fd -> Fd -> Fd #

Ord AnnLookup # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord AnnTarget # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Bang # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Bang -> Bang -> Ordering #

(<) :: Bang -> Bang -> Bool #

(<=) :: Bang -> Bang -> Bool #

(>) :: Bang -> Bang -> Bool #

(>=) :: Bang -> Bang -> Bool #

max :: Bang -> Bang -> Bang #

min :: Bang -> Bang -> Bang #

Ord BndrVis # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Body # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Body -> Body -> Ordering #

(<) :: Body -> Body -> Bool #

(<=) :: Body -> Body -> Bool #

(>) :: Body -> Body -> Bool #

(>=) :: Body -> Body -> Bool #

max :: Body -> Body -> Body #

min :: Body -> Body -> Body #

Ord Bytes # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Bytes -> Bytes -> Ordering #

(<) :: Bytes -> Bytes -> Bool #

(<=) :: Bytes -> Bytes -> Bool #

(>) :: Bytes -> Bytes -> Bool #

(>=) :: Bytes -> Bytes -> Bool #

max :: Bytes -> Bytes -> Bytes #

min :: Bytes -> Bytes -> Bytes #

Ord Callconv # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Clause # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Con # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Con -> Con -> Ordering #

(<) :: Con -> Con -> Bool #

(<=) :: Con -> Con -> Bool #

(>) :: Con -> Con -> Bool #

(>=) :: Con -> Con -> Bool #

max :: Con -> Con -> Con #

min :: Con -> Con -> Con #

Ord Dec # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Dec -> Dec -> Ordering #

(<) :: Dec -> Dec -> Bool #

(<=) :: Dec -> Dec -> Bool #

(>) :: Dec -> Dec -> Bool #

(>=) :: Dec -> Dec -> Bool #

max :: Dec -> Dec -> Dec #

min :: Dec -> Dec -> Dec #

Ord DecidedStrictness # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord DerivClause # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord DerivStrategy # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord DocLoc # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Exp # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Exp -> Exp -> Ordering #

(<) :: Exp -> Exp -> Bool #

(<=) :: Exp -> Exp -> Bool #

(>) :: Exp -> Exp -> Bool #

(>=) :: Exp -> Exp -> Bool #

max :: Exp -> Exp -> Exp #

min :: Exp -> Exp -> Exp #

Ord FamilyResultSig # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Fixity # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord FixityDirection # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Foreign # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord FunDep # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Guard # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Guard -> Guard -> Ordering #

(<) :: Guard -> Guard -> Bool #

(<=) :: Guard -> Guard -> Bool #

(>) :: Guard -> Guard -> Bool #

(>=) :: Guard -> Guard -> Bool #

max :: Guard -> Guard -> Guard #

min :: Guard -> Guard -> Guard #

Ord Info # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Info -> Info -> Ordering #

(<) :: Info -> Info -> Bool #

(<=) :: Info -> Info -> Bool #

(>) :: Info -> Info -> Bool #

(>=) :: Info -> Info -> Bool #

max :: Info -> Info -> Info #

min :: Info -> Info -> Info #

Ord InjectivityAnn # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Inline # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Lit # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Lit -> Lit -> Ordering #

(<) :: Lit -> Lit -> Bool #

(<=) :: Lit -> Lit -> Bool #

(>) :: Lit -> Lit -> Bool #

(>=) :: Lit -> Lit -> Bool #

max :: Lit -> Lit -> Lit #

min :: Lit -> Lit -> Lit #

Ord Loc # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Loc -> Loc -> Ordering #

(<) :: Loc -> Loc -> Bool #

(<=) :: Loc -> Loc -> Bool #

(>) :: Loc -> Loc -> Bool #

(>=) :: Loc -> Loc -> Bool #

max :: Loc -> Loc -> Loc #

min :: Loc -> Loc -> Loc #

Ord Match # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Match -> Match -> Ordering #

(<) :: Match -> Match -> Bool #

(<=) :: Match -> Match -> Bool #

(>) :: Match -> Match -> Bool #

(>=) :: Match -> Match -> Bool #

max :: Match -> Match -> Match #

min :: Match -> Match -> Match #

Ord ModName # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Module # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord ModuleInfo # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Name # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Name -> Name -> Ordering #

(<) :: Name -> Name -> Bool #

(<=) :: Name -> Name -> Bool #

(>) :: Name -> Name -> Bool #

(>=) :: Name -> Name -> Bool #

max :: Name -> Name -> Name #

min :: Name -> Name -> Name #

Ord NameFlavour # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord NameSpace # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord NamespaceSpecifier # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord OccName # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Overlap # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Pat # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Pat -> Pat -> Ordering #

(<) :: Pat -> Pat -> Bool #

(<=) :: Pat -> Pat -> Bool #

(>) :: Pat -> Pat -> Bool #

(>=) :: Pat -> Pat -> Bool #

max :: Pat -> Pat -> Pat #

min :: Pat -> Pat -> Pat #

Ord PatSynArgs # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord PatSynDir # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Phases # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord PkgName # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Pragma # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Range # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Range -> Range -> Ordering #

(<) :: Range -> Range -> Bool #

(<=) :: Range -> Range -> Bool #

(>) :: Range -> Range -> Bool #

(>=) :: Range -> Range -> Bool #

max :: Range -> Range -> Range #

min :: Range -> Range -> Range #

Ord Role # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Role -> Role -> Ordering #

(<) :: Role -> Role -> Bool #

(<=) :: Role -> Role -> Bool #

(>) :: Role -> Role -> Bool #

(>=) :: Role -> Role -> Bool #

max :: Role -> Role -> Role #

min :: Role -> Role -> Role #

Ord RuleBndr # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord RuleMatch # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Safety # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord SourceStrictness # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord SourceUnpackedness # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Specificity # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Stmt # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Stmt -> Stmt -> Ordering #

(<) :: Stmt -> Stmt -> Bool #

(<=) :: Stmt -> Stmt -> Bool #

(>) :: Stmt -> Stmt -> Bool #

(>=) :: Stmt -> Stmt -> Bool #

max :: Stmt -> Stmt -> Stmt #

min :: Stmt -> Stmt -> Stmt #

Ord TyLit # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: TyLit -> TyLit -> Ordering #

(<) :: TyLit -> TyLit -> Bool #

(<=) :: TyLit -> TyLit -> Bool #

(>) :: TyLit -> TyLit -> Bool #

(>=) :: TyLit -> TyLit -> Bool #

max :: TyLit -> TyLit -> TyLit #

min :: TyLit -> TyLit -> TyLit #

Ord TySynEqn # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord Type # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: Type -> Type -> Ordering #

(<) :: Type -> Type -> Bool #

(<=) :: Type -> Type -> Bool #

(>) :: Type -> Type -> Bool #

(>=) :: Type -> Type -> Bool #

max :: Type -> Type -> Type #

min :: Type -> Type -> Type #

Ord TypeFamilyHead # 
Instance details

Defined in GHC.Internal.TH.Syntax

Ord SomeChar # 
Instance details

Defined in GHC.Internal.TypeLits

Ord SomeSymbol #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.TypeLits

Ord SomeNat #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.TypeNats

Ord Ordering # 
Instance details

Defined in GHC.Internal.Classes

Ord TyCon # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: TyCon -> TyCon -> Ordering #

(<) :: TyCon -> TyCon -> Bool #

(<=) :: TyCon -> TyCon -> Bool #

(>) :: TyCon -> TyCon -> Bool #

(>=) :: TyCon -> TyCon -> Bool #

max :: TyCon -> TyCon -> TyCon #

min :: TyCon -> TyCon -> TyCon #

Ord GeneralCategory #

Since: base-2.1

Instance details

Defined in GHC.Internal.Unicode

Ord Word16 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Ord Word32 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Ord Word64 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Ord Word8 #

Since: base-2.1

Instance details

Defined in GHC.Internal.Word

Methods

compare :: Word8 -> Word8 -> Ordering #

(<) :: Word8 -> Word8 -> Bool #

(<=) :: Word8 -> Word8 -> Bool #

(>) :: Word8 -> Word8 -> Bool #

(>=) :: Word8 -> Word8 -> Bool #

max :: Word8 -> Word8 -> Word8 #

min :: Word8 -> Word8 -> Word8 #

Ord Integer # 
Instance details

Defined in GHC.Internal.Bignum.Integer

Ord Natural # 
Instance details

Defined in GHC.Internal.Bignum.Natural

Ord () # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: () -> () -> Ordering #

(<) :: () -> () -> Bool #

(<=) :: () -> () -> Bool #

(>) :: () -> () -> Bool #

(>=) :: () -> () -> Bool #

max :: () -> () -> () #

min :: () -> () -> () #

Ord Bool # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Bool -> Bool -> Ordering #

(<) :: Bool -> Bool -> Bool #

(<=) :: Bool -> Bool -> Bool #

(>) :: Bool -> Bool -> Bool #

(>=) :: Bool -> Bool -> Bool #

max :: Bool -> Bool -> Bool #

min :: Bool -> Bool -> Bool #

Ord Char # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Char -> Char -> Ordering #

(<) :: Char -> Char -> Bool #

(<=) :: Char -> Char -> Bool #

(>) :: Char -> Char -> Bool #

(>=) :: Char -> Char -> Bool #

max :: Char -> Char -> Char #

min :: Char -> Char -> Char #

Ord Double #

IEEE 754 Double-precision type includes not only numbers, but also positive and negative infinities and a special element called NaN (which can be quiet or signal).

IEEE 754-2008, section 5.11 requires that if at least one of arguments of <=, <, >, >= is NaN then the result of the comparison is False, and instance Ord Double complies with this requirement. This violates the reflexivity: both NaN <= NaN and NaN >= NaN are False.

IEEE 754-2008, section 5.10 defines totalOrder predicate. Unfortunately, compare on Doubles violates the IEEE standard and does not define a total order. More specifically, both compare NaN x and compare x NaN always return GT.

Thus, users must be extremely cautious when using instance Ord Double. For instance, one should avoid ordered containers with keys represented by Double, because data loss and corruption may happen. An IEEE-compliant compare is available in fp-ieee package as TotallyOrdered newtype.

Moving further, the behaviour of min and max with regards to NaN is also non-compliant. IEEE 754-2008, section 5.3.1 defines that quiet NaN should be treated as a missing data by minNum and maxNum functions, for example, minNum(NaN, 1) = minNum(1, NaN) = 1. Some languages such as Java deviate from the standard implementing minNum(NaN, 1) = minNum(1, NaN) = NaN. However, min / max in base are even worse: min NaN 1 is 1, but min 1 NaN is NaN.

IEEE 754-2008 compliant min / max can be found in ieee754 package under minNum / maxNum names. Implementations compliant with minimumNumber / maximumNumber from a newer IEEE 754-2019, section 9.6 are available from fp-ieee package.

Instance details

Defined in GHC.Internal.Classes

Ord Float #

See instance Ord Double for discussion of deviations from IEEE 754 standard.

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Float -> Float -> Ordering #

(<) :: Float -> Float -> Bool #

(<=) :: Float -> Float -> Bool #

(>) :: Float -> Float -> Bool #

(>=) :: Float -> Float -> Bool #

max :: Float -> Float -> Float #

min :: Float -> Float -> Float #

Ord Int # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Int -> Int -> Ordering #

(<) :: Int -> Int -> Bool #

(<=) :: Int -> Int -> Bool #

(>) :: Int -> Int -> Bool #

(>=) :: Int -> Int -> Bool #

max :: Int -> Int -> Int #

min :: Int -> Int -> Int #

Ord Word # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Word -> Word -> Ordering #

(<) :: Word -> Word -> Bool #

(<=) :: Word -> Word -> Bool #

(>) :: Word -> Word -> Bool #

(>=) :: Word -> Word -> Bool #

max :: Word -> Word -> Word #

min :: Word -> Word -> Word #

Ord a => Ord (NonEmpty a) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

compare :: NonEmpty a -> NonEmpty a -> Ordering #

(<) :: NonEmpty a -> NonEmpty a -> Bool #

(<=) :: NonEmpty a -> NonEmpty a -> Bool #

(>) :: NonEmpty a -> NonEmpty a -> Bool #

(>=) :: NonEmpty a -> NonEmpty a -> Bool #

max :: NonEmpty a -> NonEmpty a -> NonEmpty a #

min :: NonEmpty a -> NonEmpty a -> NonEmpty a #

Ord a => Ord (Identity a) #

Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Methods

compare :: Identity a -> Identity a -> Ordering #

(<) :: Identity a -> Identity a -> Bool #

(<=) :: Identity a -> Identity a -> Bool #

(>) :: Identity a -> Identity a -> Bool #

(>=) :: Identity a -> Identity a -> Bool #

max :: Identity a -> Identity a -> Identity a #

min :: Identity a -> Identity a -> Identity a #

Ord a => Ord (First a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

compare :: First a -> First a -> Ordering #

(<) :: First a -> First a -> Bool #

(<=) :: First a -> First a -> Bool #

(>) :: First a -> First a -> Bool #

(>=) :: First a -> First a -> Bool #

max :: First a -> First a -> First a #

min :: First a -> First a -> First a #

Ord a => Ord (Last a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

compare :: Last a -> Last a -> Ordering #

(<) :: Last a -> Last a -> Bool #

(<=) :: Last a -> Last a -> Bool #

(>) :: Last a -> Last a -> Bool #

(>=) :: Last a -> Last a -> Bool #

max :: Last a -> Last a -> Last a #

min :: Last a -> Last a -> Last a #

Ord a => Ord (Down a) #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

compare :: Down a -> Down a -> Ordering #

(<) :: Down a -> Down a -> Bool #

(<=) :: Down a -> Down a -> Bool #

(>) :: Down a -> Down a -> Bool #

(>=) :: Down a -> Down a -> Bool #

max :: Down a -> Down a -> Down a #

min :: Down a -> Down a -> Down a #

Ord a => Ord (Dual a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: Dual a -> Dual a -> Ordering #

(<) :: Dual a -> Dual a -> Bool #

(<=) :: Dual a -> Dual a -> Bool #

(>) :: Dual a -> Dual a -> Bool #

(>=) :: Dual a -> Dual a -> Bool #

max :: Dual a -> Dual a -> Dual a #

min :: Dual a -> Dual a -> Dual a #

Ord a => Ord (Product a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: Product a -> Product a -> Ordering #

(<) :: Product a -> Product a -> Bool #

(<=) :: Product a -> Product a -> Bool #

(>) :: Product a -> Product a -> Bool #

(>=) :: Product a -> Product a -> Bool #

max :: Product a -> Product a -> Product a #

min :: Product a -> Product a -> Product a #

Ord a => Ord (Sum a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: Sum a -> Sum a -> Ordering #

(<) :: Sum a -> Sum a -> Bool #

(<=) :: Sum a -> Sum a -> Bool #

(>) :: Sum a -> Sum a -> Bool #

(>=) :: Sum a -> Sum a -> Bool #

max :: Sum a -> Sum a -> Sum a #

min :: Sum a -> Sum a -> Sum a #

Ord (ConstPtr a) # 
Instance details

Defined in GHC.Internal.Foreign.C.ConstPtr

Methods

compare :: ConstPtr a -> ConstPtr a -> Ordering #

(<) :: ConstPtr a -> ConstPtr a -> Bool #

(<=) :: ConstPtr a -> ConstPtr a -> Bool #

(>) :: ConstPtr a -> ConstPtr a -> Bool #

(>=) :: ConstPtr a -> ConstPtr a -> Bool #

max :: ConstPtr a -> ConstPtr a -> ConstPtr a #

min :: ConstPtr a -> ConstPtr a -> ConstPtr a #

Ord (ForeignPtr a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.ForeignPtr

Ord a => Ord (ZipList a) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Functor.ZipList

Methods

compare :: ZipList a -> ZipList a -> Ordering #

(<) :: ZipList a -> ZipList a -> Bool #

(<=) :: ZipList a -> ZipList a -> Bool #

(>) :: ZipList a -> ZipList a -> Bool #

(>=) :: ZipList a -> ZipList a -> Bool #

max :: ZipList a -> ZipList a -> ZipList a #

min :: ZipList a -> ZipList a -> ZipList a #

Ord p => Ord (Par1 p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: Par1 p -> Par1 p -> Ordering #

(<) :: Par1 p -> Par1 p -> Bool #

(<=) :: Par1 p -> Par1 p -> Bool #

(>) :: Par1 p -> Par1 p -> Bool #

(>=) :: Par1 p -> Par1 p -> Bool #

max :: Par1 p -> Par1 p -> Par1 p #

min :: Par1 p -> Par1 p -> Par1 p #

Ord (FunPtr a) # 
Instance details

Defined in GHC.Internal.Ptr

Methods

compare :: FunPtr a -> FunPtr a -> Ordering #

(<) :: FunPtr a -> FunPtr a -> Bool #

(<=) :: FunPtr a -> FunPtr a -> Bool #

(>) :: FunPtr a -> FunPtr a -> Bool #

(>=) :: FunPtr a -> FunPtr a -> Bool #

max :: FunPtr a -> FunPtr a -> FunPtr a #

min :: FunPtr a -> FunPtr a -> FunPtr a #

Ord (Ptr a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ptr

Methods

compare :: Ptr a -> Ptr a -> Ordering #

(<) :: Ptr a -> Ptr a -> Bool #

(<=) :: Ptr a -> Ptr a -> Bool #

(>) :: Ptr a -> Ptr a -> Bool #

(>=) :: Ptr a -> Ptr a -> Bool #

max :: Ptr a -> Ptr a -> Ptr a #

min :: Ptr a -> Ptr a -> Ptr a #

Integral a => Ord (Ratio a) #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

compare :: Ratio a -> Ratio a -> Ordering #

(<) :: Ratio a -> Ratio a -> Bool #

(<=) :: Ratio a -> Ratio a -> Bool #

(>) :: Ratio a -> Ratio a -> Bool #

(>=) :: Ratio a -> Ratio a -> Bool #

max :: Ratio a -> Ratio a -> Ratio a #

min :: Ratio a -> Ratio a -> Ratio a #

Ord flag => Ord (TyVarBndr flag) # 
Instance details

Defined in GHC.Internal.TH.Syntax

Methods

compare :: TyVarBndr flag -> TyVarBndr flag -> Ordering #

(<) :: TyVarBndr flag -> TyVarBndr flag -> Bool #

(<=) :: TyVarBndr flag -> TyVarBndr flag -> Bool #

(>) :: TyVarBndr flag -> TyVarBndr flag -> Bool #

(>=) :: TyVarBndr flag -> TyVarBndr flag -> Bool #

max :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag #

min :: TyVarBndr flag -> TyVarBndr flag -> TyVarBndr flag #

Ord (SChar c) #

Since: base-4.19.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

compare :: SChar c -> SChar c -> Ordering #

(<) :: SChar c -> SChar c -> Bool #

(<=) :: SChar c -> SChar c -> Bool #

(>) :: SChar c -> SChar c -> Bool #

(>=) :: SChar c -> SChar c -> Bool #

max :: SChar c -> SChar c -> SChar c #

min :: SChar c -> SChar c -> SChar c #

Ord (SSymbol s) #

Since: base-4.19.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

compare :: SSymbol s -> SSymbol s -> Ordering #

(<) :: SSymbol s -> SSymbol s -> Bool #

(<=) :: SSymbol s -> SSymbol s -> Bool #

(>) :: SSymbol s -> SSymbol s -> Bool #

(>=) :: SSymbol s -> SSymbol s -> Bool #

max :: SSymbol s -> SSymbol s -> SSymbol s #

min :: SSymbol s -> SSymbol s -> SSymbol s #

Ord (SNat n) #

Since: base-4.19.0.0

Instance details

Defined in GHC.Internal.TypeNats

Methods

compare :: SNat n -> SNat n -> Ordering #

(<) :: SNat n -> SNat n -> Bool #

(<=) :: SNat n -> SNat n -> Bool #

(>) :: SNat n -> SNat n -> Bool #

(>=) :: SNat n -> SNat n -> Bool #

max :: SNat n -> SNat n -> SNat n #

min :: SNat n -> SNat n -> SNat n #

Ord a => Ord (Maybe a) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Maybe

Methods

compare :: Maybe a -> Maybe a -> Ordering #

(<) :: Maybe a -> Maybe a -> Bool #

(<=) :: Maybe a -> Maybe a -> Bool #

(>) :: Maybe a -> Maybe a -> Bool #

(>=) :: Maybe a -> Maybe a -> Bool #

max :: Maybe a -> Maybe a -> Maybe a #

min :: Maybe a -> Maybe a -> Maybe a #

Ord a => Ord (Solo a) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Solo a -> Solo a -> Ordering #

(<) :: Solo a -> Solo a -> Bool #

(<=) :: Solo a -> Solo a -> Bool #

(>) :: Solo a -> Solo a -> Bool #

(>=) :: Solo a -> Solo a -> Bool #

max :: Solo a -> Solo a -> Solo a #

min :: Solo a -> Solo a -> Solo a #

Ord a => Ord [a] # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: [a] -> [a] -> Ordering #

(<) :: [a] -> [a] -> Bool #

(<=) :: [a] -> [a] -> Bool #

(>) :: [a] -> [a] -> Bool #

(>=) :: [a] -> [a] -> Bool #

max :: [a] -> [a] -> [a] #

min :: [a] -> [a] -> [a] #

(Ix i, Ord e) => Ord (Array i e) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Arr

Methods

compare :: Array i e -> Array i e -> Ordering #

(<) :: Array i e -> Array i e -> Bool #

(<=) :: Array i e -> Array i e -> Bool #

(>) :: Array i e -> Array i e -> Bool #

(>=) :: Array i e -> Array i e -> Bool #

max :: Array i e -> Array i e -> Array i e #

min :: Array i e -> Array i e -> Array i e #

(Ord a, Ord b) => Ord (Either a b) #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Either

Methods

compare :: Either a b -> Either a b -> Ordering #

(<) :: Either a b -> Either a b -> Bool #

(<=) :: Either a b -> Either a b -> Bool #

(>) :: Either a b -> Either a b -> Bool #

(>=) :: Either a b -> Either a b -> Bool #

max :: Either a b -> Either a b -> Either a b #

min :: Either a b -> Either a b -> Either a b #

Ord (Proxy s) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

compare :: Proxy s -> Proxy s -> Ordering #

(<) :: Proxy s -> Proxy s -> Bool #

(<=) :: Proxy s -> Proxy s -> Bool #

(>) :: Proxy s -> Proxy s -> Bool #

(>=) :: Proxy s -> Proxy s -> Bool #

max :: Proxy s -> Proxy s -> Proxy s #

min :: Proxy s -> Proxy s -> Proxy s #

Ord (TypeRep a) #

Since: base-4.4.0.0

Instance details

Defined in GHC.Internal.Data.Typeable.Internal

Methods

compare :: TypeRep a -> TypeRep a -> Ordering #

(<) :: TypeRep a -> TypeRep a -> Bool #

(<=) :: TypeRep a -> TypeRep a -> Bool #

(>) :: TypeRep a -> TypeRep a -> Bool #

(>=) :: TypeRep a -> TypeRep a -> Bool #

max :: TypeRep a -> TypeRep a -> TypeRep a #

min :: TypeRep a -> TypeRep a -> TypeRep a #

Ord (U1 p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: U1 p -> U1 p -> Ordering #

(<) :: U1 p -> U1 p -> Bool #

(<=) :: U1 p -> U1 p -> Bool #

(>) :: U1 p -> U1 p -> Bool #

(>=) :: U1 p -> U1 p -> Bool #

max :: U1 p -> U1 p -> U1 p #

min :: U1 p -> U1 p -> U1 p #

Ord (V1 p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: V1 p -> V1 p -> Ordering #

(<) :: V1 p -> V1 p -> Bool #

(<=) :: V1 p -> V1 p -> Bool #

(>) :: V1 p -> V1 p -> Bool #

(>=) :: V1 p -> V1 p -> Bool #

max :: V1 p -> V1 p -> V1 p #

min :: V1 p -> V1 p -> V1 p #

(Ord a, Ord b) => Ord (a, b) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b) -> (a, b) -> Ordering #

(<) :: (a, b) -> (a, b) -> Bool #

(<=) :: (a, b) -> (a, b) -> Bool #

(>) :: (a, b) -> (a, b) -> Bool #

(>=) :: (a, b) -> (a, b) -> Bool #

max :: (a, b) -> (a, b) -> (a, b) #

min :: (a, b) -> (a, b) -> (a, b) #

Ord a => Ord (Const a b) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

compare :: Const a b -> Const a b -> Ordering #

(<) :: Const a b -> Const a b -> Bool #

(<=) :: Const a b -> Const a b -> Bool #

(>) :: Const a b -> Const a b -> Bool #

(>=) :: Const a b -> Const a b -> Bool #

max :: Const a b -> Const a b -> Const a b #

min :: Const a b -> Const a b -> Const a b #

Ord (f a) => Ord (Ap f a) #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

compare :: Ap f a -> Ap f a -> Ordering #

(<) :: Ap f a -> Ap f a -> Bool #

(<=) :: Ap f a -> Ap f a -> Bool #

(>) :: Ap f a -> Ap f a -> Bool #

(>=) :: Ap f a -> Ap f a -> Bool #

max :: Ap f a -> Ap f a -> Ap f a #

min :: Ap f a -> Ap f a -> Ap f a #

Ord (f a) => Ord (Alt f a) #

Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Semigroup.Internal

Methods

compare :: Alt f a -> Alt f a -> Ordering #

(<) :: Alt f a -> Alt f a -> Bool #

(<=) :: Alt f a -> Alt f a -> Bool #

(>) :: Alt f a -> Alt f a -> Bool #

(>=) :: Alt f a -> Alt f a -> Bool #

max :: Alt f a -> Alt f a -> Alt f a #

min :: Alt f a -> Alt f a -> Alt f a #

Ord (Coercion a b) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Type.Coercion

Methods

compare :: Coercion a b -> Coercion a b -> Ordering #

(<) :: Coercion a b -> Coercion a b -> Bool #

(<=) :: Coercion a b -> Coercion a b -> Bool #

(>) :: Coercion a b -> Coercion a b -> Bool #

(>=) :: Coercion a b -> Coercion a b -> Bool #

max :: Coercion a b -> Coercion a b -> Coercion a b #

min :: Coercion a b -> Coercion a b -> Coercion a b #

Ord (a :~: b) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Type.Equality

Methods

compare :: (a :~: b) -> (a :~: b) -> Ordering #

(<) :: (a :~: b) -> (a :~: b) -> Bool #

(<=) :: (a :~: b) -> (a :~: b) -> Bool #

(>) :: (a :~: b) -> (a :~: b) -> Bool #

(>=) :: (a :~: b) -> (a :~: b) -> Bool #

max :: (a :~: b) -> (a :~: b) -> a :~: b #

min :: (a :~: b) -> (a :~: b) -> a :~: b #

(Generic1 f, Ord (Rep1 f a)) => Ord (Generically1 f a) #

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.Generics

Ord (f p) => Ord (Rec1 f p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: Rec1 f p -> Rec1 f p -> Ordering #

(<) :: Rec1 f p -> Rec1 f p -> Bool #

(<=) :: Rec1 f p -> Rec1 f p -> Bool #

(>) :: Rec1 f p -> Rec1 f p -> Bool #

(>=) :: Rec1 f p -> Rec1 f p -> Bool #

max :: Rec1 f p -> Rec1 f p -> Rec1 f p #

min :: Rec1 f p -> Rec1 f p -> Rec1 f p #

Ord (URec (Ptr ()) p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering #

(<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

(<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

(>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

(>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool #

max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #

min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p #

Ord (URec Char p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering #

(<) :: URec Char p -> URec Char p -> Bool #

(<=) :: URec Char p -> URec Char p -> Bool #

(>) :: URec Char p -> URec Char p -> Bool #

(>=) :: URec Char p -> URec Char p -> Bool #

max :: URec Char p -> URec Char p -> URec Char p #

min :: URec Char p -> URec Char p -> URec Char p #

Ord (URec Double p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Double p -> URec Double p -> Ordering #

(<) :: URec Double p -> URec Double p -> Bool #

(<=) :: URec Double p -> URec Double p -> Bool #

(>) :: URec Double p -> URec Double p -> Bool #

(>=) :: URec Double p -> URec Double p -> Bool #

max :: URec Double p -> URec Double p -> URec Double p #

min :: URec Double p -> URec Double p -> URec Double p #

Ord (URec Float p) # 
Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Float p -> URec Float p -> Ordering #

(<) :: URec Float p -> URec Float p -> Bool #

(<=) :: URec Float p -> URec Float p -> Bool #

(>) :: URec Float p -> URec Float p -> Bool #

(>=) :: URec Float p -> URec Float p -> Bool #

max :: URec Float p -> URec Float p -> URec Float p #

min :: URec Float p -> URec Float p -> URec Float p #

Ord (URec Int p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering #

(<) :: URec Int p -> URec Int p -> Bool #

(<=) :: URec Int p -> URec Int p -> Bool #

(>) :: URec Int p -> URec Int p -> Bool #

(>=) :: URec Int p -> URec Int p -> Bool #

max :: URec Int p -> URec Int p -> URec Int p #

min :: URec Int p -> URec Int p -> URec Int p #

Ord (URec Word p) #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering #

(<) :: URec Word p -> URec Word p -> Bool #

(<=) :: URec Word p -> URec Word p -> Bool #

(>) :: URec Word p -> URec Word p -> Bool #

(>=) :: URec Word p -> URec Word p -> Bool #

max :: URec Word p -> URec Word p -> URec Word p #

min :: URec Word p -> URec Word p -> URec Word p #

(Ord a, Ord b, Ord c) => Ord (a, b, c) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c) -> (a, b, c) -> Ordering #

(<) :: (a, b, c) -> (a, b, c) -> Bool #

(<=) :: (a, b, c) -> (a, b, c) -> Bool #

(>) :: (a, b, c) -> (a, b, c) -> Bool #

(>=) :: (a, b, c) -> (a, b, c) -> Bool #

max :: (a, b, c) -> (a, b, c) -> (a, b, c) #

min :: (a, b, c) -> (a, b, c) -> (a, b, c) #

Ord (a :~~: b) #

Since: base-4.10.0.0

Instance details

Defined in GHC.Internal.Data.Type.Equality

Methods

compare :: (a :~~: b) -> (a :~~: b) -> Ordering #

(<) :: (a :~~: b) -> (a :~~: b) -> Bool #

(<=) :: (a :~~: b) -> (a :~~: b) -> Bool #

(>) :: (a :~~: b) -> (a :~~: b) -> Bool #

(>=) :: (a :~~: b) -> (a :~~: b) -> Bool #

max :: (a :~~: b) -> (a :~~: b) -> a :~~: b #

min :: (a :~~: b) -> (a :~~: b) -> a :~~: b #

(Ord (f p), Ord (g p)) => Ord ((f :*: g) p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: (f :*: g) p -> (f :*: g) p -> Ordering #

(<) :: (f :*: g) p -> (f :*: g) p -> Bool #

(<=) :: (f :*: g) p -> (f :*: g) p -> Bool #

(>) :: (f :*: g) p -> (f :*: g) p -> Bool #

(>=) :: (f :*: g) p -> (f :*: g) p -> Bool #

max :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p #

min :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p #

(Ord (f p), Ord (g p)) => Ord ((f :+: g) p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: (f :+: g) p -> (f :+: g) p -> Ordering #

(<) :: (f :+: g) p -> (f :+: g) p -> Bool #

(<=) :: (f :+: g) p -> (f :+: g) p -> Bool #

(>) :: (f :+: g) p -> (f :+: g) p -> Bool #

(>=) :: (f :+: g) p -> (f :+: g) p -> Bool #

max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #

min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #

Ord c => Ord (K1 i c p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: K1 i c p -> K1 i c p -> Ordering #

(<) :: K1 i c p -> K1 i c p -> Bool #

(<=) :: K1 i c p -> K1 i c p -> Bool #

(>) :: K1 i c p -> K1 i c p -> Bool #

(>=) :: K1 i c p -> K1 i c p -> Bool #

max :: K1 i c p -> K1 i c p -> K1 i c p #

min :: K1 i c p -> K1 i c p -> K1 i c p #

(Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d) -> (a, b, c, d) -> Ordering #

(<) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

(<=) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

(>) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

(>=) :: (a, b, c, d) -> (a, b, c, d) -> Bool #

max :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) #

min :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) #

Ord (f (g p)) => Ord ((f :.: g) p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: (f :.: g) p -> (f :.: g) p -> Ordering #

(<) :: (f :.: g) p -> (f :.: g) p -> Bool #

(<=) :: (f :.: g) p -> (f :.: g) p -> Bool #

(>) :: (f :.: g) p -> (f :.: g) p -> Bool #

(>=) :: (f :.: g) p -> (f :.: g) p -> Bool #

max :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p #

min :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p #

Ord (f p) => Ord (M1 i c f p) #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

compare :: M1 i c f p -> M1 i c f p -> Ordering #

(<) :: M1 i c f p -> M1 i c f p -> Bool #

(<=) :: M1 i c f p -> M1 i c f p -> Bool #

(>) :: M1 i c f p -> M1 i c f p -> Bool #

(>=) :: M1 i c f p -> M1 i c f p -> Bool #

max :: M1 i c f p -> M1 i c f p -> M1 i c f p #

min :: M1 i c f p -> M1 i c f p -> M1 i c f p #

(Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering #

(<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

(<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

(>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

(>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool #

max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) #

min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) #

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering #

(<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

(<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

(>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

(>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool #

max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) #

min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) #

(Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering #

(<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

(<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

(>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

(>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool #

max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) #

min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) #

(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) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering #

(<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

(<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

(>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

(>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering #

(<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

(<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

(>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

(>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.Classes

Methods

compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering #

(<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

(<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

(>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

(>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.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 #

(<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

(<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

(>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

(>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.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 #

(<) :: (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 #

(<=) :: (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 #

(>) :: (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 #

(>=) :: (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 #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.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 #

(<) :: (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 #

(<=) :: (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 #

(>) :: (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 #

(>=) :: (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 #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.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 #

(<) :: (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 #

(<=) :: (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 #

(>) :: (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 #

(>=) :: (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 #

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) #

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) #

(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) # 
Instance details

Defined in GHC.Internal.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 #

(<) :: (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 #

(<=) :: (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 #

(>) :: (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 #

(>=) :: (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 #

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) #

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) #

data Ordering #

Constructors

LT 
EQ 
GT 

Instances

Instances details
Monoid Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Semigroup Ordering #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Eq Ordering # 
Instance details

Defined in GHC.Internal.Classes

Ord Ordering # 
Instance details

Defined in GHC.Internal.Classes

Data Ordering #

Since: base-4.0.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ordering -> c Ordering #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering #

toConstr :: Ordering -> Constr #

dataTypeOf :: Ordering -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Ordering) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Ordering) #

gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r #

gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering #

Bounded Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Enum Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Generic Ordering # 
Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Ordering

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

Methods

from :: Ordering -> Rep Ordering x #

to :: Rep Ordering x -> Ordering #

Ix Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Read Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Show Ordering #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

type Rep Ordering #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

newtype Down a #

The Down type allows you to reverse sort order conveniently. A value of type Down a contains a value of type a (represented as Down a).

If a has an Ord 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: then sortWith by Down x.

>>> compare True False
GT
>>> compare (Down True) (Down False)
LT

If a has a Bounded instance then the wrapped instance also respects the reversed ordering by exchanging the values of minBound and maxBound.

>>> minBound :: Int
-9223372036854775808
>>> minBound :: Down Int
Down 9223372036854775807

All other instances of Down a behave as they do for a.

Since: base-4.6.0.0

Constructors

Down 

Fields

Instances

Instances details
Applicative Down #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

pure :: a -> Down a #

(<*>) :: Down (a -> b) -> Down a -> Down b #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c #

(*>) :: Down a -> Down b -> Down b #

(<*) :: Down a -> Down b -> Down a #

Functor Down #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b #

(<$) :: a -> Down b -> Down a #

Monad Down #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b #

(>>) :: Down a -> Down b -> Down b #

return :: a -> Down a #

MonadFix Down #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fix

Methods

mfix :: (a -> Down a) -> Down a #

MonadZip Down #

Since: ghc-internal-4.12.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Zip

Methods

mzip :: Down a -> Down b -> Down (a, b) #

mzipWith :: (a -> b -> c) -> Down a -> Down b -> Down c #

munzip :: Down (a, b) -> (Down a, Down b) #

Foldable Down #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Foldable

Methods

fold :: Monoid m => Down m -> m #

foldMap :: Monoid m => (a -> m) -> Down a -> m #

foldMap' :: Monoid m => (a -> m) -> Down a -> m #

foldr :: (a -> b -> b) -> b -> Down a -> b #

foldr' :: (a -> b -> b) -> b -> Down a -> b #

foldl :: (b -> a -> b) -> b -> Down a -> b #

foldl' :: (b -> a -> b) -> b -> Down a -> b #

foldr1 :: (a -> a -> a) -> Down a -> a #

foldl1 :: (a -> a -> a) -> Down a -> a #

toList :: Down a -> [a] #

null :: Down a -> Bool #

length :: Down a -> Int #

elem :: Eq a => a -> Down a -> Bool #

maximum :: Ord a => Down a -> a #

minimum :: Ord a => Down a -> a #

sum :: Num a => Down a -> a #

product :: Num a => Down a -> a #

Traversable Down #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Down a -> f (Down b) #

sequenceA :: Applicative f => Down (f a) -> f (Down a) #

mapM :: Monad m => (a -> m b) -> Down a -> m (Down b) #

sequence :: Monad m => Down (m a) -> m (Down a) #

Generic1 Down # 
Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Down a -> Rep1 Down a #

to1 :: Rep1 Down a -> Down a #

Monoid a => Monoid (Down a) #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

mempty :: Down a #

mappend :: Down a -> Down a -> Down a #

mconcat :: [Down a] -> Down a #

Semigroup a => Semigroup (Down a) #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a #

sconcat :: NonEmpty (Down a) -> Down a #

stimes :: Integral b => b -> Down a -> Down a #

Bits a => Bits (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(.&.) :: Down a -> Down a -> Down a #

(.|.) :: Down a -> Down a -> Down a #

xor :: Down a -> Down a -> Down a #

complement :: Down a -> Down a #

shift :: Down a -> Int -> Down a #

rotate :: Down a -> Int -> Down a #

zeroBits :: Down a #

bit :: Int -> Down a #

setBit :: Down a -> Int -> Down a #

clearBit :: Down a -> Int -> Down a #

complementBit :: Down a -> Int -> Down a #

testBit :: Down a -> Int -> Bool #

bitSizeMaybe :: Down a -> Maybe Int #

bitSize :: Down a -> Int #

isSigned :: Down a -> Bool #

shiftL :: Down a -> Int -> Down a #

unsafeShiftL :: Down a -> Int -> Down a #

shiftR :: Down a -> Int -> Down a #

unsafeShiftR :: Down a -> Int -> Down a #

rotateL :: Down a -> Int -> Down a #

rotateR :: Down a -> Int -> Down a #

popCount :: Down a -> Int #

FiniteBits a => FiniteBits (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Eq a => Eq (Down a) #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(==) :: Down a -> Down a -> Bool #

(/=) :: Down a -> Down a -> Bool #

Ord a => Ord (Down a) #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

compare :: Down a -> Down a -> Ordering #

(<) :: Down a -> Down a -> Bool #

(<=) :: Down a -> Down a -> Bool #

(>) :: Down a -> Down a -> Bool #

(>=) :: Down a -> Down a -> Bool #

max :: Down a -> Down a -> Down a #

min :: Down a -> Down a -> Down a #

Data a => Data (Down a) #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.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) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Down a) #

toConstr :: Down a -> Constr #

dataTypeOf :: Down a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Down a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Down a)) #

gmapT :: (forall b. Data b => b -> b) -> Down a -> Down a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Down a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Down a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Down a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Down a -> m (Down a) #

Bounded a => Bounded (Down a) #

Swaps minBound and maxBound of the underlying type.

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

minBound :: Down a #

maxBound :: Down a #

(Enum a, Bounded a, Eq a) => Enum (Down a) #

Swaps succ and pred of the underlying type.

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

succ :: Down a -> Down a #

pred :: Down a -> Down a #

toEnum :: Int -> Down a #

fromEnum :: Down a -> Int #

enumFrom :: Down a -> [Down a] #

enumFromThen :: Down a -> Down a -> [Down a] #

enumFromTo :: Down a -> Down a -> [Down a] #

enumFromThenTo :: Down a -> Down a -> Down a -> [Down a] #

Floating a => Floating (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

pi :: Down a #

exp :: Down a -> Down a #

log :: Down a -> Down a #

sqrt :: Down a -> Down a #

(**) :: Down a -> Down a -> Down a #

logBase :: Down a -> Down a -> Down a #

sin :: Down a -> Down a #

cos :: Down a -> Down a #

tan :: Down a -> Down a #

asin :: Down a -> Down a #

acos :: Down a -> Down a #

atan :: Down a -> Down a #

sinh :: Down a -> Down a #

cosh :: Down a -> Down a #

tanh :: Down a -> Down a #

asinh :: Down a -> Down a #

acosh :: Down a -> Down a #

atanh :: Down a -> Down a #

log1p :: Down a -> Down a #

expm1 :: Down a -> Down a #

log1pexp :: Down a -> Down a #

log1mexp :: Down a -> Down a #

RealFloat a => RealFloat (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Storable a => Storable (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

sizeOf :: Down a -> Int #

alignment :: Down a -> Int #

peekElemOff :: Ptr (Down a) -> Int -> IO (Down a) #

pokeElemOff :: Ptr (Down a) -> Int -> Down a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (Down a) #

pokeByteOff :: Ptr b -> Int -> Down a -> IO () #

peek :: Ptr (Down a) -> IO (Down a) #

poke :: Ptr (Down a) -> Down a -> IO () #

Generic (Down a) # 
Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (Down a)

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: Down a -> Rep (Down a) x #

to :: Rep (Down a) x -> Down a #

Ix a => Ix (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

range :: (Down a, Down a) -> [Down a] #

index :: (Down a, Down a) -> Down a -> Int #

unsafeIndex :: (Down a, Down a) -> Down a -> Int #

inRange :: (Down a, Down a) -> Down a -> Bool #

rangeSize :: (Down a, Down a) -> Int #

unsafeRangeSize :: (Down a, Down a) -> Int #

Num a => Num (Down a) #

Since: base-4.11.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(+) :: Down a -> Down a -> Down a #

(-) :: Down a -> Down a -> Down a #

(*) :: Down a -> Down a -> Down a #

negate :: Down a -> Down a #

abs :: Down a -> Down a #

signum :: Down a -> Down a #

fromInteger :: Integer -> Down a #

Read a => Read (Down a) #

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Fractional a => Fractional (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

(/) :: Down a -> Down a -> Down a #

recip :: Down a -> Down a #

fromRational :: Rational -> Down a #

Real a => Real (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

toRational :: Down a -> Rational #

RealFrac a => RealFrac (Down a) #

Since: base-4.14.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

properFraction :: Integral b => Down a -> (b, Down a) #

truncate :: Integral b => Down a -> b #

round :: Integral b => Down a -> b #

ceiling :: Integral b => Down a -> b #

floor :: Integral b => Down a -> b #

Show a => Show (Down a) #

This instance would be equivalent to the derived instances of the Down newtype if the getDown field were removed

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Ord

Methods

showsPrec :: Int -> Down a -> ShowS #

show :: Down a -> String #

showList :: [Down a] -> ShowS #

type Rep1 Down #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Down = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep (Down a) #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (Down a) = D1 ('MetaData "Down" "GHC.Internal.Data.Ord" "ghc-internal" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

comparing :: Ord a => (b -> a) -> b -> b -> Ordering #

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 #

clamp (low, high) a = min high (max a low)

Function for ensuring 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) 2
2
>>> clamp ('a', 'm') 'x'
'm'

Since: base-4.16.0.0