relude-1.2.1.0: Safe, performant, user-friendly and lightweight Haskell Standard Library
Copyright(c) 2018-2023 Kowainik
LicenseMIT
MaintainerKowainik <xrom.xkov@gmail.com>
StabilityStable
PortabilityPortable
Safe HaskellTrustworthy
LanguageHaskell2010

Relude.Numeric

Description

Provides numerical data types and functions.

Since: 0.5.0

Synopsis

Reexports

toIntegralSized :: (Integral a, Integral b, Bits a, Bits b) => a -> Maybe b #

xor :: Bits a => a -> a -> a #

data Int #

Instances

Instances details
Data Int 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Int -> Constr

dataTypeOf :: Int -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Int -> Int

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

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

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

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

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

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

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

Bits Int 
Instance details

Defined in GHC.Bits

Methods

(.&.) :: Int -> Int -> Int

(.|.) :: Int -> Int -> Int

xor :: Int -> Int -> Int #

complement :: Int -> Int

shift :: Int -> Int -> Int

rotate :: Int -> Int -> Int

zeroBits :: Int

bit :: Int -> Int

setBit :: Int -> Int -> Int

clearBit :: Int -> Int -> Int

complementBit :: Int -> Int -> Int

testBit :: Int -> Int -> Bool

bitSizeMaybe :: Int -> Maybe Int

bitSize :: Int -> Int

isSigned :: Int -> Bool

shiftL :: Int -> Int -> Int

unsafeShiftL :: Int -> Int -> Int

shiftR :: Int -> Int -> Int

unsafeShiftR :: Int -> Int -> Int

rotateL :: Int -> Int -> Int

rotateR :: Int -> Int -> Int

popCount :: Int -> Int

FiniteBits Int 
Instance details

Defined in GHC.Bits

Bounded Int 
Instance details

Defined in GHC.Enum

Methods

minBound :: Int #

maxBound :: Int #

Enum Int 
Instance details

Defined in GHC.Enum

Methods

succ :: Int -> Int #

pred :: Int -> Int #

toEnum :: Int -> Int #

fromEnum :: Int -> Int #

enumFrom :: Int -> [Int] #

enumFromThen :: Int -> Int -> [Int] #

enumFromTo :: Int -> Int -> [Int] #

enumFromThenTo :: Int -> Int -> Int -> [Int] #

Num Int 
Instance details

Defined in GHC.Num

Methods

(+) :: Int -> Int -> Int #

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

(*) :: Int -> Int -> Int #

negate :: Int -> Int #

abs :: Int -> Int #

signum :: Int -> Int #

fromInteger :: Integer -> Int #

Read Int 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Int

readList :: ReadS [Int]

readPrec :: ReadPrec Int

readListPrec :: ReadPrec [Int]

Integral Int 
Instance details

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int #

rem :: Int -> Int -> Int #

div :: Int -> Int -> Int #

mod :: Int -> Int -> Int #

quotRem :: Int -> Int -> (Int, Int) #

divMod :: Int -> Int -> (Int, Int) #

toInteger :: Int -> Integer #

Real Int 
Instance details

Defined in GHC.Real

Methods

toRational :: Int -> Rational #

Show Int 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Int -> ShowS

show :: Int -> String

showList :: [Int] -> ShowS

NFData Int 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int -> () #

Eq Int 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Int 
Instance details

Defined in GHC.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 #

Hashable Int 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int -> Int #

hash :: Int -> Int

Lift Int 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Int -> Code m Int

Generic1 (URec Int :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Int) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Int a -> Rep1 (URec Int) a

to1 :: forall (a :: k0). Rep1 (URec Int) a -> URec Int a

Foldable (UInt :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

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

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

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

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

foldr' :: (a -> b -> b) -> b -> UInt a -> b

foldl :: (b -> a -> b) -> b -> UInt a -> b

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

foldr1 :: (a -> a -> a) -> UInt a -> a

foldl1 :: (a -> a -> a) -> UInt a -> a

toList :: UInt a -> [a] #

null :: UInt a -> Bool #

length :: UInt a -> Int #

elem :: Eq a => a -> UInt a -> Bool

maximum :: Ord a => UInt a -> a

minimum :: Ord a => UInt a -> a

sum :: Num a => UInt a -> a

product :: Num a => UInt a -> a

Traversable (UInt :: Type -> Type) 
Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Int :: Type -> Type) 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b #

(<$) :: a -> URec Int b -> URec Int a #

Generic (URec Int p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Int p) :: Type -> Type

Methods

from :: URec Int p -> Rep (URec Int p) x

to :: Rep (URec Int p) x -> URec Int p

Show (URec Int p) 
Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Int p -> ShowS

show :: URec Int p -> String

showList :: [URec Int p] -> ShowS

Eq (URec Int p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Int p) 
Instance details

Defined in GHC.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 #

data URec Int (p :: k) 
Instance details

Defined in GHC.Generics

data URec Int (p :: k) = UInt {}
type Rep1 (URec Int :: k -> Type) 
Instance details

Defined in GHC.Generics

type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))
type Rep (URec Int p) 
Instance details

Defined in GHC.Generics

type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

data Int16 #

Instances

Instances details
Data Int16 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int16 -> c Int16

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int16

toConstr :: Int16 -> Constr

dataTypeOf :: Int16 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int16)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int16)

gmapT :: (forall b. Data b => b -> b) -> Int16 -> Int16

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r

gmapQ :: (forall d. Data d => d -> u) -> Int16 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Int16 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int16 -> m Int16

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16

Bits Int16 
Instance details

Defined in GHC.Int

FiniteBits Int16 
Instance details

Defined in GHC.Int

Bounded Int16 
Instance details

Defined in GHC.Int

Enum Int16 
Instance details

Defined in GHC.Int

Ix Int16 
Instance details

Defined in GHC.Int

Num Int16 
Instance details

Defined in GHC.Int

Read Int16 
Instance details

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int16

readList :: ReadS [Int16]

readPrec :: ReadPrec Int16

readListPrec :: ReadPrec [Int16]

Integral Int16 
Instance details

Defined in GHC.Int

Real Int16 
Instance details

Defined in GHC.Int

Methods

toRational :: Int16 -> Rational #

Show Int16 
Instance details

Defined in GHC.Int

Methods

showsPrec :: Int -> Int16 -> ShowS

show :: Int16 -> String

showList :: [Int16] -> ShowS

NFData Int16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int16 -> () #

Eq Int16 
Instance details

Defined in GHC.Int

Methods

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

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

Ord Int16 
Instance details

Defined in GHC.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 #

Hashable Int16 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int16 -> Int #

hash :: Int16 -> Int

Lift Int16 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int16 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Int16 -> Code m Int16

data Int32 #

Instances

Instances details
Data Int32 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int32 -> c Int32

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int32

toConstr :: Int32 -> Constr

dataTypeOf :: Int32 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int32)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int32)

gmapT :: (forall b. Data b => b -> b) -> Int32 -> Int32

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r

gmapQ :: (forall d. Data d => d -> u) -> Int32 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Int32 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int32 -> m Int32

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32

Bits Int32 
Instance details

Defined in GHC.Int

FiniteBits Int32 
Instance details

Defined in GHC.Int

Bounded Int32 
Instance details

Defined in GHC.Int

Enum Int32 
Instance details

Defined in GHC.Int

Ix Int32 
Instance details

Defined in GHC.Int

Num Int32 
Instance details

Defined in GHC.Int

Read Int32 
Instance details

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int32

readList :: ReadS [Int32]

readPrec :: ReadPrec Int32

readListPrec :: ReadPrec [Int32]

Integral Int32 
Instance details

Defined in GHC.Int

Real Int32 
Instance details

Defined in GHC.Int

Methods

toRational :: Int32 -> Rational #

Show Int32 
Instance details

Defined in GHC.Int

Methods

showsPrec :: Int -> Int32 -> ShowS

show :: Int32 -> String

showList :: [Int32] -> ShowS

NFData Int32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int32 -> () #

Eq Int32 
Instance details

Defined in GHC.Int

Methods

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

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

Ord Int32 
Instance details

Defined in GHC.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 #

Hashable Int32 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int32 -> Int #

hash :: Int32 -> Int

Lift Int32 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int32 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Int32 -> Code m Int32

data Int64 #

Instances

Instances details
Data Int64 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int64 -> c Int64

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int64

toConstr :: Int64 -> Constr

dataTypeOf :: Int64 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int64)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int64)

gmapT :: (forall b. Data b => b -> b) -> Int64 -> Int64

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r

gmapQ :: (forall d. Data d => d -> u) -> Int64 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Int64 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int64 -> m Int64

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64

Bits Int64 
Instance details

Defined in GHC.Int

FiniteBits Int64 
Instance details

Defined in GHC.Int

Bounded Int64 
Instance details

Defined in GHC.Int

Enum Int64 
Instance details

Defined in GHC.Int

Ix Int64 
Instance details

Defined in GHC.Int

Num Int64 
Instance details

Defined in GHC.Int

Read Int64 
Instance details

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int64

readList :: ReadS [Int64]

readPrec :: ReadPrec Int64

readListPrec :: ReadPrec [Int64]

Integral Int64 
Instance details

Defined in GHC.Int

Real Int64 
Instance details

Defined in GHC.Int

Methods

toRational :: Int64 -> Rational #

Show Int64 
Instance details

Defined in GHC.Int

Methods

showsPrec :: Int -> Int64 -> ShowS

show :: Int64 -> String

showList :: [Int64] -> ShowS

NFData Int64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int64 -> () #

Eq Int64 
Instance details

Defined in GHC.Int

Methods

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

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

Ord Int64 
Instance details

Defined in GHC.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 #

Hashable Int64 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int64 -> Int #

hash :: Int64 -> Int

Lift Int64 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int64 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Int64 -> Code m Int64

data Int8 #

Instances

Instances details
Data Int8 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int8 -> c Int8

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int8

toConstr :: Int8 -> Constr

dataTypeOf :: Int8 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int8)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int8)

gmapT :: (forall b. Data b => b -> b) -> Int8 -> Int8

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r

gmapQ :: (forall d. Data d => d -> u) -> Int8 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Int8 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int8 -> m Int8

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8

Bits Int8 
Instance details

Defined in GHC.Int

FiniteBits Int8 
Instance details

Defined in GHC.Int

Bounded Int8 
Instance details

Defined in GHC.Int

Enum Int8 
Instance details

Defined in GHC.Int

Methods

succ :: Int8 -> Int8 #

pred :: Int8 -> Int8 #

toEnum :: Int -> Int8 #

fromEnum :: Int8 -> Int #

enumFrom :: Int8 -> [Int8] #

enumFromThen :: Int8 -> Int8 -> [Int8] #

enumFromTo :: Int8 -> Int8 -> [Int8] #

enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] #

Ix Int8 
Instance details

Defined in GHC.Int

Methods

range :: (Int8, Int8) -> [Int8]

index :: (Int8, Int8) -> Int8 -> Int

unsafeIndex :: (Int8, Int8) -> Int8 -> Int

inRange :: (Int8, Int8) -> Int8 -> Bool

rangeSize :: (Int8, Int8) -> Int

unsafeRangeSize :: (Int8, Int8) -> Int

Num Int8 
Instance details

Defined in GHC.Int

Methods

(+) :: Int8 -> Int8 -> Int8 #

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

(*) :: Int8 -> Int8 -> Int8 #

negate :: Int8 -> Int8 #

abs :: Int8 -> Int8 #

signum :: Int8 -> Int8 #

fromInteger :: Integer -> Int8 #

Read Int8 
Instance details

Defined in GHC.Int

Methods

readsPrec :: Int -> ReadS Int8

readList :: ReadS [Int8]

readPrec :: ReadPrec Int8

readListPrec :: ReadPrec [Int8]

Integral Int8 
Instance details

Defined in GHC.Int

Methods

quot :: Int8 -> Int8 -> Int8 #

rem :: Int8 -> Int8 -> Int8 #

div :: Int8 -> Int8 -> Int8 #

mod :: Int8 -> Int8 -> Int8 #

quotRem :: Int8 -> Int8 -> (Int8, Int8) #

divMod :: Int8 -> Int8 -> (Int8, Int8) #

toInteger :: Int8 -> Integer #

Real Int8 
Instance details

Defined in GHC.Int

Methods

toRational :: Int8 -> Rational #

Show Int8 
Instance details

Defined in GHC.Int

Methods

showsPrec :: Int -> Int8 -> ShowS

show :: Int8 -> String

showList :: [Int8] -> ShowS

NFData Int8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int8 -> () #

Eq Int8 
Instance details

Defined in GHC.Int

Methods

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

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

Ord Int8 
Instance details

Defined in GHC.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 #

Hashable Int8 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Int8 -> Int #

hash :: Int8 -> Int

Lift Int8 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Int8 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Int8 -> Code m Int8

data Word8 #

Instances

Instances details
Data Word8 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word8 -> c Word8

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word8

toConstr :: Word8 -> Constr

dataTypeOf :: Word8 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word8)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word8)

gmapT :: (forall b. Data b => b -> b) -> Word8 -> Word8

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r

gmapQ :: (forall d. Data d => d -> u) -> Word8 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word8 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word8 -> m Word8

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8

Bits Word8 
Instance details

Defined in GHC.Word

FiniteBits Word8 
Instance details

Defined in GHC.Word

Bounded Word8 
Instance details

Defined in GHC.Word

Enum Word8 
Instance details

Defined in GHC.Word

Ix Word8 
Instance details

Defined in GHC.Word

Num Word8 
Instance details

Defined in GHC.Word

Read Word8 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word8

readList :: ReadS [Word8]

readPrec :: ReadPrec Word8

readListPrec :: ReadPrec [Word8]

Integral Word8 
Instance details

Defined in GHC.Word

Real Word8 
Instance details

Defined in GHC.Word

Methods

toRational :: Word8 -> Rational #

Show Word8 
Instance details

Defined in GHC.Word

Methods

showsPrec :: Int -> Word8 -> ShowS

show :: Word8 -> String

showList :: [Word8] -> ShowS

NFData Word8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> () #

Eq Word8 
Instance details

Defined in GHC.Word

Methods

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

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

Ord Word8 
Instance details

Defined in GHC.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 #

Hashable Word8 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word8 -> Int #

hash :: Word8 -> Int

Lift Word8 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word8 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word8 -> Code m Word8

data Word #

Instances

Instances details
Data Word 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Word -> Constr

dataTypeOf :: Word -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Word -> Word

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

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

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

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

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

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

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

Bits Word 
Instance details

Defined in GHC.Bits

FiniteBits Word 
Instance details

Defined in GHC.Bits

Bounded Word 
Instance details

Defined in GHC.Enum

Enum Word 
Instance details

Defined in GHC.Enum

Methods

succ :: Word -> Word #

pred :: Word -> Word #

toEnum :: Int -> Word #

fromEnum :: Word -> Int #

enumFrom :: Word -> [Word] #

enumFromThen :: Word -> Word -> [Word] #

enumFromTo :: Word -> Word -> [Word] #

enumFromThenTo :: Word -> Word -> Word -> [Word] #

Num Word 
Instance details

Defined in GHC.Num

Methods

(+) :: Word -> Word -> Word #

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

(*) :: Word -> Word -> Word #

negate :: Word -> Word #

abs :: Word -> Word #

signum :: Word -> Word #

fromInteger :: Integer -> Word #

Read Word 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word

readList :: ReadS [Word]

readPrec :: ReadPrec Word

readListPrec :: ReadPrec [Word]

Integral Word 
Instance details

Defined in GHC.Real

Methods

quot :: Word -> Word -> Word #

rem :: Word -> Word -> Word #

div :: Word -> Word -> Word #

mod :: Word -> Word -> Word #

quotRem :: Word -> Word -> (Word, Word) #

divMod :: Word -> Word -> (Word, Word) #

toInteger :: Word -> Integer #

Real Word 
Instance details

Defined in GHC.Real

Methods

toRational :: Word -> Rational #

Show Word 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Word -> ShowS

show :: Word -> String

showList :: [Word] -> ShowS

NFData Word 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word -> () #

Eq Word 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Word 
Instance details

Defined in GHC.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 #

Hashable Word 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word -> Int #

hash :: Word -> Int

Lift Word 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word -> Code m Word

Generic1 (URec Word :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Word) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Word a -> Rep1 (URec Word) a

to1 :: forall (a :: k0). Rep1 (URec Word) a -> URec Word a

Foldable (UWord :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

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

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

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

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

foldr' :: (a -> b -> b) -> b -> UWord a -> b

foldl :: (b -> a -> b) -> b -> UWord a -> b

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

foldr1 :: (a -> a -> a) -> UWord a -> a

foldl1 :: (a -> a -> a) -> UWord a -> a

toList :: UWord a -> [a] #

null :: UWord a -> Bool #

length :: UWord a -> Int #

elem :: Eq a => a -> UWord a -> Bool

maximum :: Ord a => UWord a -> a

minimum :: Ord a => UWord a -> a

sum :: Num a => UWord a -> a

product :: Num a => UWord a -> a

Traversable (UWord :: Type -> Type) 
Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Word :: Type -> Type) 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b #

(<$) :: a -> URec Word b -> URec Word a #

Generic (URec Word p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Word p) :: Type -> Type

Methods

from :: URec Word p -> Rep (URec Word p) x

to :: Rep (URec Word p) x -> URec Word p

Show (URec Word p) 
Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Word p -> ShowS

show :: URec Word p -> String

showList :: [URec Word p] -> ShowS

Eq (URec Word p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Word p) 
Instance details

Defined in GHC.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 #

data URec Word (p :: k) 
Instance details

Defined in GHC.Generics

data URec Word (p :: k) = UWord {}
type Rep1 (URec Word :: k -> Type) 
Instance details

Defined in GHC.Generics

type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))
type Rep (URec Word p) 
Instance details

Defined in GHC.Generics

type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

data Word16 #

Instances

Instances details
Data Word16 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word16 -> c Word16

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word16

toConstr :: Word16 -> Constr

dataTypeOf :: Word16 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word16)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word16)

gmapT :: (forall b. Data b => b -> b) -> Word16 -> Word16

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r

gmapQ :: (forall d. Data d => d -> u) -> Word16 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word16 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word16 -> m Word16

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16

Bits Word16 
Instance details

Defined in GHC.Word

FiniteBits Word16 
Instance details

Defined in GHC.Word

Bounded Word16 
Instance details

Defined in GHC.Word

Enum Word16 
Instance details

Defined in GHC.Word

Ix Word16 
Instance details

Defined in GHC.Word

Num Word16 
Instance details

Defined in GHC.Word

Read Word16 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word16

readList :: ReadS [Word16]

readPrec :: ReadPrec Word16

readListPrec :: ReadPrec [Word16]

Integral Word16 
Instance details

Defined in GHC.Word

Real Word16 
Instance details

Defined in GHC.Word

Show Word16 
Instance details

Defined in GHC.Word

Methods

showsPrec :: Int -> Word16 -> ShowS

show :: Word16 -> String

showList :: [Word16] -> ShowS

NFData Word16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word16 -> () #

Eq Word16 
Instance details

Defined in GHC.Word

Methods

(==) :: Word16 -> Word16 -> Bool #

(/=) :: Word16 -> Word16 -> Bool #

Ord Word16 
Instance details

Defined in GHC.Word

Hashable Word16 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word16 -> Int #

hash :: Word16 -> Int

Lift Word16 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word16 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word16 -> Code m Word16

data Word32 #

Instances

Instances details
Data Word32 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word32 -> c Word32

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word32

toConstr :: Word32 -> Constr

dataTypeOf :: Word32 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word32)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word32)

gmapT :: (forall b. Data b => b -> b) -> Word32 -> Word32

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r

gmapQ :: (forall d. Data d => d -> u) -> Word32 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word32 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word32 -> m Word32

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32

Bits Word32 
Instance details

Defined in GHC.Word

FiniteBits Word32 
Instance details

Defined in GHC.Word

Bounded Word32 
Instance details

Defined in GHC.Word

Enum Word32 
Instance details

Defined in GHC.Word

Ix Word32 
Instance details

Defined in GHC.Word

Num Word32 
Instance details

Defined in GHC.Word

Read Word32 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word32

readList :: ReadS [Word32]

readPrec :: ReadPrec Word32

readListPrec :: ReadPrec [Word32]

Integral Word32 
Instance details

Defined in GHC.Word

Real Word32 
Instance details

Defined in GHC.Word

Show Word32 
Instance details

Defined in GHC.Word

Methods

showsPrec :: Int -> Word32 -> ShowS

show :: Word32 -> String

showList :: [Word32] -> ShowS

NFData Word32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word32 -> () #

Eq Word32 
Instance details

Defined in GHC.Word

Methods

(==) :: Word32 -> Word32 -> Bool #

(/=) :: Word32 -> Word32 -> Bool #

Ord Word32 
Instance details

Defined in GHC.Word

Hashable Word32 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word32 -> Int #

hash :: Word32 -> Int

Lift Word32 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word32 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word32 -> Code m Word32

data Word64 #

Instances

Instances details
Data Word64 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word64 -> c Word64

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word64

toConstr :: Word64 -> Constr

dataTypeOf :: Word64 -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word64)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word64)

gmapT :: (forall b. Data b => b -> b) -> Word64 -> Word64

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r

gmapQ :: (forall d. Data d => d -> u) -> Word64 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word64 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word64 -> m Word64

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64

Bits Word64 
Instance details

Defined in GHC.Word

FiniteBits Word64 
Instance details

Defined in GHC.Word

Bounded Word64 
Instance details

Defined in GHC.Word

Enum Word64 
Instance details

Defined in GHC.Word

Ix Word64 
Instance details

Defined in GHC.Word

Num Word64 
Instance details

Defined in GHC.Word

Read Word64 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word64

readList :: ReadS [Word64]

readPrec :: ReadPrec Word64

readListPrec :: ReadPrec [Word64]

Integral Word64 
Instance details

Defined in GHC.Word

Real Word64 
Instance details

Defined in GHC.Word

Show Word64 
Instance details

Defined in GHC.Word

Methods

showsPrec :: Int -> Word64 -> ShowS

show :: Word64 -> String

showList :: [Word64] -> ShowS

NFData Word64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word64 -> () #

Eq Word64 
Instance details

Defined in GHC.Word

Methods

(==) :: Word64 -> Word64 -> Bool #

(/=) :: Word64 -> Word64 -> Bool #

Ord Word64 
Instance details

Defined in GHC.Word

Hashable Word64 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word64 -> Int #

hash :: Word64 -> Int

Lift Word64 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word64 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word64 -> Code m Word64

data Double #

Constructors

D# Double# 

Instances

Instances details
Data Double 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Double -> Constr

dataTypeOf :: Double -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Double -> Double

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

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

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

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

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

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

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

Floating Double 
Instance details

Defined in GHC.Float

RealFloat Double 
Instance details

Defined in GHC.Float

Read Double 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Double

readList :: ReadS [Double]

readPrec :: ReadPrec Double

readListPrec :: ReadPrec [Double]

NFData Double 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Double -> () #

Eq Double 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Double 
Instance details

Defined in GHC.Classes

Hashable Double 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Double -> Int #

hash :: Double -> Int

Lift Double 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Double -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Double -> Code m Double

Generic1 (URec Double :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Double) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Double a -> Rep1 (URec Double) a

to1 :: forall (a :: k0). Rep1 (URec Double) a -> URec Double a

Foldable (UDouble :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

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

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

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

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

foldr' :: (a -> b -> b) -> b -> UDouble a -> b

foldl :: (b -> a -> b) -> b -> UDouble a -> b

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

foldr1 :: (a -> a -> a) -> UDouble a -> a

foldl1 :: (a -> a -> a) -> UDouble a -> a

toList :: UDouble a -> [a] #

null :: UDouble a -> Bool #

length :: UDouble a -> Int #

elem :: Eq a => a -> UDouble a -> Bool

maximum :: Ord a => UDouble a -> a

minimum :: Ord a => UDouble a -> a

sum :: Num a => UDouble a -> a

product :: Num a => UDouble a -> a

Traversable (UDouble :: Type -> Type) 
Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Double :: Type -> Type) 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b #

(<$) :: a -> URec Double b -> URec Double a #

Generic (URec Double p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Double p) :: Type -> Type

Methods

from :: URec Double p -> Rep (URec Double p) x

to :: Rep (URec Double p) x -> URec Double p

Show (URec Double p) 
Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Double p -> ShowS

show :: URec Double p -> String

showList :: [URec Double p] -> ShowS

Eq (URec Double p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Double p) 
Instance details

Defined in GHC.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 #

data URec Double (p :: k) 
Instance details

Defined in GHC.Generics

data URec Double (p :: k) = UDouble {}
type Rep1 (URec Double :: k -> Type) 
Instance details

Defined in GHC.Generics

type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))
type Rep (URec Double p) 
Instance details

Defined in GHC.Generics

type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

data Float #

Constructors

F# Float# 

Instances

Instances details
Data Float 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Float -> Constr

dataTypeOf :: Float -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Float -> Float

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

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

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

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

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

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

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

Floating Float 
Instance details

Defined in GHC.Float

RealFloat Float 
Instance details

Defined in GHC.Float

Read Float 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Float

readList :: ReadS [Float]

readPrec :: ReadPrec Float

readListPrec :: ReadPrec [Float]

NFData Float 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Float -> () #

Eq Float 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Float 
Instance details

Defined in GHC.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 #

Hashable Float 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Float -> Int #

hash :: Float -> Int

Lift Float 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Float -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Float -> Code m Float

Generic1 (URec Float :: k -> Type) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Float) :: k -> Type

Methods

from1 :: forall (a :: k0). URec Float a -> Rep1 (URec Float) a

to1 :: forall (a :: k0). Rep1 (URec Float) a -> URec Float a

Foldable (UFloat :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

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

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

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

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

foldr' :: (a -> b -> b) -> b -> UFloat a -> b

foldl :: (b -> a -> b) -> b -> UFloat a -> b

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

foldr1 :: (a -> a -> a) -> UFloat a -> a

foldl1 :: (a -> a -> a) -> UFloat a -> a

toList :: UFloat a -> [a] #

null :: UFloat a -> Bool #

length :: UFloat a -> Int #

elem :: Eq a => a -> UFloat a -> Bool

maximum :: Ord a => UFloat a -> a

minimum :: Ord a => UFloat a -> a

sum :: Num a => UFloat a -> a

product :: Num a => UFloat a -> a

Traversable (UFloat :: Type -> Type) 
Instance details

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Float :: Type -> Type) 
Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b #

(<$) :: a -> URec Float b -> URec Float a #

Generic (URec Float p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) :: Type -> Type

Methods

from :: URec Float p -> Rep (URec Float p) x

to :: Rep (URec Float p) x -> URec Float p

Show (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

showsPrec :: Int -> URec Float p -> ShowS

show :: URec Float p -> String

showList :: [URec Float p] -> ShowS

Eq (URec Float p) 
Instance details

Defined in GHC.Generics

Methods

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

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

Ord (URec Float p) 
Instance details

Defined in GHC.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 #

data URec Float (p :: k) 
Instance details

Defined in GHC.Generics

data URec Float (p :: k) = UFloat {}
type Rep1 (URec Float :: k -> Type) 
Instance details

Defined in GHC.Generics

type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))
type Rep (URec Float p) 
Instance details

Defined in GHC.Generics

type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

class Fractional a => Floating a where #

Minimal complete definition

pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh

Methods

pi :: a #

exp :: a -> a #

sqrt :: a -> a #

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

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

Instances

Instances details
Floating Double 
Instance details

Defined in GHC.Float

Floating Float 
Instance details

Defined in GHC.Float

RealFloat a => Floating (Complex a) 
Instance details

Defined in Data.Complex

Methods

pi :: Complex a #

exp :: Complex a -> Complex a #

log :: Complex a -> Complex a

sqrt :: Complex a -> Complex a #

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

logBase :: Complex a -> Complex a -> Complex a #

sin :: Complex a -> Complex a #

cos :: Complex a -> Complex a #

tan :: Complex a -> Complex a #

asin :: Complex a -> Complex a #

acos :: Complex a -> Complex a #

atan :: Complex a -> Complex a #

sinh :: Complex a -> Complex a #

cosh :: Complex a -> Complex a #

tanh :: Complex a -> Complex a #

asinh :: Complex a -> Complex a #

acosh :: Complex a -> Complex a #

atanh :: Complex a -> Complex a #

log1p :: Complex a -> Complex a

expm1 :: Complex a -> Complex a

log1pexp :: Complex a -> Complex a

log1mexp :: Complex a -> Complex a

Floating a => Floating (Identity a) 
Instance details

Defined in Data.Functor.Identity

Floating a => Floating (Down a) 
Instance details

Defined in 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

Floating a => Floating (Op a b) 
Instance details

Defined in Data.Functor.Contravariant

Methods

pi :: Op a b #

exp :: Op a b -> Op a b #

log :: Op a b -> Op a b

sqrt :: Op a b -> Op a b #

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

logBase :: Op a b -> Op a b -> Op a b #

sin :: Op a b -> Op a b #

cos :: Op a b -> Op a b #

tan :: Op a b -> Op a b #

asin :: Op a b -> Op a b #

acos :: Op a b -> Op a b #

atan :: Op a b -> Op a b #

sinh :: Op a b -> Op a b #

cosh :: Op a b -> Op a b #

tanh :: Op a b -> Op a b #

asinh :: Op a b -> Op a b #

acosh :: Op a b -> Op a b #

atanh :: Op a b -> Op a b #

log1p :: Op a b -> Op a b

expm1 :: Op a b -> Op a b

log1pexp :: Op a b -> Op a b

log1mexp :: Op a b -> Op a b

Floating a => Floating (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

pi :: Const a b #

exp :: Const a b -> Const a b #

log :: Const a b -> Const a b

sqrt :: Const a b -> Const a b #

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

logBase :: Const a b -> Const a b -> Const a b #

sin :: Const a b -> Const a b #

cos :: Const a b -> Const a b #

tan :: Const a b -> Const a b #

asin :: Const a b -> Const a b #

acos :: Const a b -> Const a b #

atan :: Const a b -> Const a b #

sinh :: Const a b -> Const a b #

cosh :: Const a b -> Const a b #

tanh :: Const a b -> Const a b #

asinh :: Const a b -> Const a b #

acosh :: Const a b -> Const a b #

atanh :: Const a b -> Const a b #

log1p :: Const a b -> Const a b

expm1 :: Const a b -> Const a b

log1pexp :: Const a b -> Const a b

log1mexp :: Const a b -> Const a b

class (RealFrac a, Floating a) => RealFloat a where #

Methods

floatRadix :: a -> Integer #

floatDigits :: a -> Int #

floatRange :: a -> (Int, Int) #

decodeFloat :: a -> (Integer, Int) #

encodeFloat :: Integer -> Int -> a #

isNaN :: a -> Bool #

isInfinite :: a -> Bool #

isDenormalized :: a -> Bool #

isNegativeZero :: a -> Bool #

isIEEE :: a -> Bool #

atan2 :: a -> a -> a #

Instances

Instances details
RealFloat Double 
Instance details

Defined in GHC.Float

RealFloat Float 
Instance details

Defined in GHC.Float

RealFloat a => RealFloat (Identity a) 
Instance details

Defined in Data.Functor.Identity

RealFloat a => RealFloat (Down a) 
Instance details

Defined in Data.Ord

RealFloat a => RealFloat (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

floatRadix :: Const a b -> Integer #

floatDigits :: Const a b -> Int #

floatRange :: Const a b -> (Int, Int) #

decodeFloat :: Const a b -> (Integer, Int) #

encodeFloat :: Integer -> Int -> Const a b #

exponent :: Const a b -> Int

significand :: Const a b -> Const a b

scaleFloat :: Int -> Const a b -> Const a b

isNaN :: Const a b -> Bool #

isInfinite :: Const a b -> Bool #

isDenormalized :: Const a b -> Bool #

isNegativeZero :: Const a b -> Bool #

isIEEE :: Const a b -> Bool #

atan2 :: Const a b -> Const a b -> Const a b #

class Num a where #

Minimal complete definition

(+), (*), abs, signum, fromInteger, (negate | (-))

Methods

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

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

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

negate :: a -> a #

abs :: a -> a #

signum :: a -> a #

fromInteger :: Integer -> a #

Instances

Instances details
Num Int16 
Instance details

Defined in GHC.Int

Num Int32 
Instance details

Defined in GHC.Int

Num Int64 
Instance details

Defined in GHC.Int

Num Int8 
Instance details

Defined in GHC.Int

Methods

(+) :: Int8 -> Int8 -> Int8 #

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

(*) :: Int8 -> Int8 -> Int8 #

negate :: Int8 -> Int8 #

abs :: Int8 -> Int8 #

signum :: Int8 -> Int8 #

fromInteger :: Integer -> Int8 #

Num Word16 
Instance details

Defined in GHC.Word

Num Word32 
Instance details

Defined in GHC.Word

Num Word64 
Instance details

Defined in GHC.Word

Num Word8 
Instance details

Defined in GHC.Word

Num Integer 
Instance details

Defined in GHC.Num

Num Natural 
Instance details

Defined in GHC.Num

Num Int 
Instance details

Defined in GHC.Num

Methods

(+) :: Int -> Int -> Int #

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

(*) :: Int -> Int -> Int #

negate :: Int -> Int #

abs :: Int -> Int #

signum :: Int -> Int #

fromInteger :: Integer -> Int #

Num Word 
Instance details

Defined in GHC.Num

Methods

(+) :: Word -> Word -> Word #

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

(*) :: Word -> Word -> Word #

negate :: Word -> Word #

abs :: Word -> Word #

signum :: Word -> Word #

fromInteger :: Integer -> Word #

RealFloat a => Num (Complex a) 
Instance details

Defined in Data.Complex

Methods

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

(-) :: Complex a -> Complex a -> Complex a #

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

negate :: Complex a -> Complex a #

abs :: Complex a -> Complex a #

signum :: Complex a -> Complex a #

fromInteger :: Integer -> Complex a #

Num a => Num (Identity a) 
Instance details

Defined in Data.Functor.Identity

Num a => Num (Down a) 
Instance details

Defined in 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 #

Num a => Num (Max a) 
Instance details

Defined in Data.Semigroup

Methods

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

(-) :: Max a -> Max a -> Max a #

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

negate :: Max a -> Max a #

abs :: Max a -> Max a #

signum :: Max a -> Max a #

fromInteger :: Integer -> Max a #

Num a => Num (Min a) 
Instance details

Defined in Data.Semigroup

Methods

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

(-) :: Min a -> Min a -> Min a #

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

negate :: Min a -> Min a #

abs :: Min a -> Min a #

signum :: Min a -> Min a #

fromInteger :: Integer -> Min a #

Num a => Num (Product a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

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

negate :: Product a -> Product a #

abs :: Product a -> Product a #

signum :: Product a -> Product a #

fromInteger :: Integer -> Product a #

Num a => Num (Sum a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

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

negate :: Sum a -> Sum a #

abs :: Sum a -> Sum a #

signum :: Sum a -> Sum a #

fromInteger :: Integer -> Sum a #

Integral a => Num (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

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

negate :: Ratio a -> Ratio a #

abs :: Ratio a -> Ratio a #

signum :: Ratio a -> Ratio a #

fromInteger :: Integer -> Ratio a #

Num a => Num (Op a b) 
Instance details

Defined in Data.Functor.Contravariant

Methods

(+) :: Op a b -> Op a b -> Op a b #

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

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

negate :: Op a b -> Op a b #

abs :: Op a b -> Op a b #

signum :: Op a b -> Op a b #

fromInteger :: Integer -> Op a b #

Num a => Num (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

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

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

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

negate :: Const a b -> Const a b #

abs :: Const a b -> Const a b #

signum :: Const a b -> Const a b #

fromInteger :: Integer -> Const a b #

(Applicative f, Num a) => Num (Ap f a) 
Instance details

Defined in Data.Monoid

Methods

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

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

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

negate :: Ap f a -> Ap f a #

abs :: Ap f a -> Ap f a #

signum :: Ap f a -> Ap f a #

fromInteger :: Integer -> Ap f a #

Num (f a) => Num (Alt f a) 
Instance details

Defined in Data.Semigroup.Internal

Methods

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

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

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

negate :: Alt f a -> Alt f a #

abs :: Alt f a -> Alt f a #

signum :: Alt f a -> Alt f a #

fromInteger :: Integer -> Alt f a #

data Integer #

Instances

Instances details
Data Integer 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Integer -> Constr

dataTypeOf :: Integer -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer

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

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

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

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

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

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

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

Bits Integer 
Instance details

Defined in GHC.Bits

Enum Integer 
Instance details

Defined in GHC.Enum

Num Integer 
Instance details

Defined in GHC.Num

Read Integer 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Integer

readList :: ReadS [Integer]

readPrec :: ReadPrec Integer

readListPrec :: ReadPrec [Integer]

Integral Integer 
Instance details

Defined in GHC.Real

Real Integer 
Instance details

Defined in GHC.Real

Show Integer 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Integer -> ShowS

show :: Integer -> String

showList :: [Integer] -> ShowS

NFData Integer 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Integer -> () #

Eq Integer 
Instance details

Defined in GHC.Num.Integer

Methods

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

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

Ord Integer 
Instance details

Defined in GHC.Num.Integer

Hashable Integer 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Integer -> Int #

hash :: Integer -> Int

Lift Integer 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Integer -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Integer -> Code m Integer

subtract :: Num a => a -> a -> a #

class (Num a, Ord a) => Real a where #

Methods

toRational :: a -> Rational #

Instances

Instances details
Real Int16 
Instance details

Defined in GHC.Int

Methods

toRational :: Int16 -> Rational #

Real Int32 
Instance details

Defined in GHC.Int

Methods

toRational :: Int32 -> Rational #

Real Int64 
Instance details

Defined in GHC.Int

Methods

toRational :: Int64 -> Rational #

Real Int8 
Instance details

Defined in GHC.Int

Methods

toRational :: Int8 -> Rational #

Real Word16 
Instance details

Defined in GHC.Word

Real Word32 
Instance details

Defined in GHC.Word

Real Word64 
Instance details

Defined in GHC.Word

Real Word8 
Instance details

Defined in GHC.Word

Methods

toRational :: Word8 -> Rational #

Real Integer 
Instance details

Defined in GHC.Real

Real Natural 
Instance details

Defined in GHC.Real

Real Int 
Instance details

Defined in GHC.Real

Methods

toRational :: Int -> Rational #

Real Word 
Instance details

Defined in GHC.Real

Methods

toRational :: Word -> Rational #

Real a => Real (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

toRational :: Identity a -> Rational #

Real a => Real (Down a) 
Instance details

Defined in Data.Ord

Methods

toRational :: Down a -> Rational #

Integral a => Real (Ratio a) 
Instance details

Defined in GHC.Real

Methods

toRational :: Ratio a -> Rational #

Real a => Real (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

toRational :: Const a b -> Rational #

class Num a => Fractional a where #

Minimal complete definition

fromRational, (recip | (/))

Methods

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

recip :: a -> a #

fromRational :: Rational -> a #

Instances

Instances details
RealFloat a => Fractional (Complex a) 
Instance details

Defined in Data.Complex

Methods

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

recip :: Complex a -> Complex a #

fromRational :: Rational -> Complex a #

Fractional a => Fractional (Identity a) 
Instance details

Defined in Data.Functor.Identity

Fractional a => Fractional (Down a) 
Instance details

Defined in Data.Ord

Methods

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

recip :: Down a -> Down a #

fromRational :: Rational -> Down a #

Integral a => Fractional (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

recip :: Ratio a -> Ratio a #

fromRational :: Rational -> Ratio a #

Fractional a => Fractional (Op a b) 
Instance details

Defined in Data.Functor.Contravariant

Methods

(/) :: Op a b -> Op a b -> Op a b #

recip :: Op a b -> Op a b #

fromRational :: Rational -> Op a b #

Fractional a => Fractional (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

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

recip :: Const a b -> Const a b #

fromRational :: Rational -> Const a b #

class (Real a, Enum a) => Integral a where #

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a #

rem :: a -> a -> a #

div :: a -> a -> a #

mod :: a -> a -> a #

quotRem :: a -> a -> (a, a) #

divMod :: a -> a -> (a, a) #

toInteger :: a -> Integer #

Instances

Instances details
Integral Int16 
Instance details

Defined in GHC.Int

Integral Int32 
Instance details

Defined in GHC.Int

Integral Int64 
Instance details

Defined in GHC.Int

Integral Int8 
Instance details

Defined in GHC.Int

Methods

quot :: Int8 -> Int8 -> Int8 #

rem :: Int8 -> Int8 -> Int8 #

div :: Int8 -> Int8 -> Int8 #

mod :: Int8 -> Int8 -> Int8 #

quotRem :: Int8 -> Int8 -> (Int8, Int8) #

divMod :: Int8 -> Int8 -> (Int8, Int8) #

toInteger :: Int8 -> Integer #

Integral Word16 
Instance details

Defined in GHC.Word

Integral Word32 
Instance details

Defined in GHC.Word

Integral Word64 
Instance details

Defined in GHC.Word

Integral Word8 
Instance details

Defined in GHC.Word

Integral Integer 
Instance details

Defined in GHC.Real

Integral Natural 
Instance details

Defined in GHC.Real

Integral Int 
Instance details

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int #

rem :: Int -> Int -> Int #

div :: Int -> Int -> Int #

mod :: Int -> Int -> Int #

quotRem :: Int -> Int -> (Int, Int) #

divMod :: Int -> Int -> (Int, Int) #

toInteger :: Int -> Integer #

Integral Word 
Instance details

Defined in GHC.Real

Methods

quot :: Word -> Word -> Word #

rem :: Word -> Word -> Word #

div :: Word -> Word -> Word #

mod :: Word -> Word -> Word #

quotRem :: Word -> Word -> (Word, Word) #

divMod :: Word -> Word -> (Word, Word) #

toInteger :: Word -> Integer #

Integral a => Integral (Identity a) 
Instance details

Defined in Data.Functor.Identity

Integral a => Integral (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

quot :: Const a b -> Const a b -> Const a b #

rem :: Const a b -> Const a b -> Const a b #

div :: Const a b -> Const a b -> Const a b #

mod :: Const a b -> Const a b -> Const a b #

quotRem :: Const a b -> Const a b -> (Const a b, Const a b) #

divMod :: Const a b -> Const a b -> (Const a b, Const a b) #

toInteger :: Const a b -> Integer #

data Ratio a #

Instances

Instances details
NFData1 Ratio 
Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Ratio a -> ()

Integral a => Lift (Ratio a :: Type) 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Ratio a -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Ratio a -> Code m (Ratio a)

(Data a, Integral a) => Data (Ratio a) 
Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ratio a -> c (Ratio a)

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

toConstr :: Ratio a -> Constr

dataTypeOf :: Ratio a -> DataType

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

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

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

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

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

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

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

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

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

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

Integral a => Enum (Ratio a) 
Instance details

Defined in GHC.Real

Methods

succ :: Ratio a -> Ratio a #

pred :: Ratio a -> Ratio a #

toEnum :: Int -> Ratio a #

fromEnum :: Ratio a -> Int #

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

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

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

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

Integral a => Num (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

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

negate :: Ratio a -> Ratio a #

abs :: Ratio a -> Ratio a #

signum :: Ratio a -> Ratio a #

fromInteger :: Integer -> Ratio a #

(Integral a, Read a) => Read (Ratio a) 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS (Ratio a)

readList :: ReadS [Ratio a]

readPrec :: ReadPrec (Ratio a)

readListPrec :: ReadPrec [Ratio a]

Integral a => Fractional (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

recip :: Ratio a -> Ratio a #

fromRational :: Rational -> Ratio a #

Integral a => Real (Ratio a) 
Instance details

Defined in GHC.Real

Methods

toRational :: Ratio a -> Rational #

Integral a => RealFrac (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

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

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

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

Show a => Show (Ratio a) 
Instance details

Defined in GHC.Real

Methods

showsPrec :: Int -> Ratio a -> ShowS

show :: Ratio a -> String

showList :: [Ratio a] -> ShowS

NFData a => NFData (Ratio a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ratio a -> () #

Eq a => Eq (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

Integral a => Ord (Ratio a) 
Instance details

Defined in GHC.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 #

Hashable a => Hashable (Ratio a) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Ratio a -> Int #

hash :: Ratio a -> Int

class (Real a, Fractional a) => RealFrac a where #

Minimal complete definition

properFraction

Methods

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

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

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

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

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

Instances

Instances details
RealFrac a => RealFrac (Identity a) 
Instance details

Defined in Data.Functor.Identity

Methods

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

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

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

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

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

RealFrac a => RealFrac (Down a) 
Instance details

Defined in 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 #

Integral a => RealFrac (Ratio a) 
Instance details

Defined in GHC.Real

Methods

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

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

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

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

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

RealFrac a => RealFrac (Const a b) 
Instance details

Defined in Data.Functor.Const

Methods

properFraction :: Integral b0 => Const a b -> (b0, Const a b) #

truncate :: Integral b0 => Const a b -> b0 #

round :: Integral b0 => Const a b -> b0 #

ceiling :: Integral b0 => Const a b -> b0 #

floor :: Integral b0 => Const a b -> b0 #

denominator :: Ratio a -> a #

even :: Integral a => a -> Bool #

fromIntegral :: (Integral a, Num b) => a -> b #

gcd :: Integral a => a -> a -> a #

lcm :: Integral a => a -> a -> a #

numerator :: Ratio a -> a #

odd :: Integral a => a -> Bool #

realToFrac :: (Real a, Fractional b) => a -> b #

(^) :: (Num a, Integral b) => a -> b -> a #

(^^) :: (Fractional a, Integral b) => a -> b -> a #

data Natural #

Instances

Instances details
Data Natural 
Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Natural -> Constr

dataTypeOf :: Natural -> DataType

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

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

gmapT :: (forall b. Data b => b -> b) -> Natural -> Natural

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

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

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

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

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

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

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

Bits Natural 
Instance details

Defined in GHC.Bits

Enum Natural 
Instance details

Defined in GHC.Enum

Num Natural 
Instance details

Defined in GHC.Num

Read Natural 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Natural

readList :: ReadS [Natural]

readPrec :: ReadPrec Natural

readListPrec :: ReadPrec [Natural]

Integral Natural 
Instance details

Defined in GHC.Real

Real Natural 
Instance details

Defined in GHC.Real

Show Natural 
Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> Natural -> ShowS

show :: Natural -> String

showList :: [Natural] -> ShowS

NFData Natural 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Natural -> () #

Eq Natural 
Instance details

Defined in GHC.Num.Natural

Methods

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

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

Ord Natural 
Instance details

Defined in GHC.Num.Natural

Hashable Natural 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Natural -> Int #

hash :: Natural -> Int

TestCoercion SNat 
Instance details

Defined in GHC.TypeNats

Methods

testCoercion :: forall (a :: k) (b :: k). SNat a -> SNat b -> Maybe (Coercion a b)

TestEquality SNat 
Instance details

Defined in GHC.TypeNats

Methods

testEquality :: forall (a :: k) (b :: k). SNat a -> SNat b -> Maybe (a :~: b)

Lift Natural 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Natural -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Natural -> Code m Natural

type Compare (a :: Natural) (b :: Natural) 
Instance details

Defined in Data.Type.Ord

type Compare (a :: Natural) (b :: Natural) = CmpNat a b

Combinators

integerToBounded :: forall a. (Integral a, Bounded a) => Integer -> Maybe a Source #

Transforms an integer number to a bounded integral. It returns Nothing for integers outside the bound of the return type.

>>> integerToBounded @Int 42
Just 42
>>> integerToBounded @Int8 1024
Nothing
>>> integerToBounded @Int (toInteger (minBound :: Int))
Just (-9223372036854775808)
>>> integerToBounded @Int $ (toInteger (minBound :: Int)) - 1
Nothing
>>> integerToBounded @Int (toInteger (maxBound :: Int))
Just 9223372036854775807
>>> integerToBounded @Int $ (toInteger (maxBound :: Int)) + 1
Nothing

If you want to convert Int or Word to a bounded type, take a look at toIntegralSized function instead.

Since: 0.5.0

integerToNatural :: Integer -> Maybe Natural Source #

Transforms an integer number to a natural. Only non-negative integers are considered natural, everything else will return Nothing.

>>> integerToNatural (-1)
Nothing
>>> integerToNatural 0
Just 0
>>> integerToNatural 10
Just 10

Since: 0.5.0