Built-in types

Methods

sizeOf :: Bool -> Int Source #

alignment :: Bool -> Int Source #

peekElemOff :: Ptr Bool -> Int -> IO Bool Source #

pokeElemOff :: Ptr Bool -> Int -> Bool -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Bool Source #

pokeByteOff :: Ptr b -> Int -> Bool -> IO () Source #

peek :: Ptr Bool -> IO Bool Source #

poke :: Ptr Bool -> Bool -> IO () Source #

Generic Bool Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep Bool	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep Bool = D1 ('MetaData "Bool" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: Bool -> Rep Bool x Source #

to :: Rep Bool x -> Bool Source #

Ix Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Bool, Bool) -> [Bool] Source #

index :: (Bool, Bool) -> Bool -> Int Source #

unsafeIndex :: (Bool, Bool) -> Bool -> Int Source #

inRange :: (Bool, Bool) -> Bool -> Bool Source #

rangeSize :: (Bool, Bool) -> Int Source #

unsafeRangeSize :: (Bool, Bool) -> Int Source #

Read Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Bool Source #

readList :: ReadS [Bool] Source #

readPrec :: ReadPrec Bool Source #

readListPrec :: ReadPrec [Bool] Source #

Show Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Bool -> ShowS Source #

show :: Bool -> String Source #

showList :: [Bool] -> ShowS Source #

Lift Bool Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Bool -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Bool -> Code m Bool Source #

type Rep Bool Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Char Source #

The character type Char represents Unicode codespace and its elements are code points as in definitions D9 and D10 of the Unicode Standard.

Character literals in Haskell are single-quoted: 'Q', 'Я' or 'Ω'. To represent a single quote itself use '\'', and to represent a backslash use '\\'. The full grammar can be found in the section 2.6 of the Haskell 2010 Language Report.

To specify a character by its code point one can use decimal, hexadecimal or octal notation: '\65', '\x41' and '\o101' are all alternative forms of 'A'. The largest code point is '\x10ffff'.

There is a special escape syntax for ASCII control characters:

Escape	Alternatives	Meaning
`'\NUL'`	`'\0'`	null character
`'\SOH'`	`'\1'`	start of heading
`'\STX'`	`'\2'`	start of text
`'\ETX'`	`'\3'`	end of text
`'\EOT'`	`'\4'`	end of transmission
`'\ENQ'`	`'\5'`	enquiry
`'\ACK'`	`'\6'`	acknowledge
`'\BEL'`	`'\7'`, `'\a'`	bell (alert)
`'\BS'`	`'\8'`, `'\b'`	backspace
`'\HT'`	`'\9'`, `'\t'`	horizontal tab
`'\LF'`	`'\10'`, `'\n'`	line feed (new line)
`'\VT'`	`'\11'`, `'\v'`	vertical tab
`'\FF'`	`'\12'`, `'\f'`	form feed
`'\CR'`	`'\13'`, `'\r'`	carriage return
`'\SO'`	`'\14'`	shift out
`'\SI'`	`'\15'`	shift in
`'\DLE'`	`'\16'`	data link escape
`'\DC1'`	`'\17'`	device control 1
`'\DC2'`	`'\18'`	device control 2
`'\DC3'`	`'\19'`	device control 3
`'\DC4'`	`'\20'`	device control 4
`'\NAK'`	`'\21'`	negative acknowledge
`'\SYN'`	`'\22'`	synchronous idle
`'\ETB'`	`'\23'`	end of transmission block
`'\CAN'`	`'\24'`	cancel
`'\EM'`	`'\25'`	end of medium
`'\SUB'`	`'\26'`	substitute
`'\ESC'`	`'\27'`	escape
`'\FS'`	`'\28'`	file separator
`'\GS'`	`'\29'`	group separator
`'\RS'`	`'\30'`	record separator
`'\US'`	`'\31'`	unit separator
`'\SP'`	`'\32'`, `' '`	space
`'\DEL'`	`'\127'`	delete

Data.Char provides utilities to work with Char.

Constructors

C# Char#

Instances

Instances details

Eq Char Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord Char Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Char -> Char -> Ordering Source #

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

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

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

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

max :: Char -> Char -> Char Source #

min :: Char -> Char -> Char Source #

Data Char Source #

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) -> Char -> c Char Source #

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

toConstr :: Char -> Constr Source #

dataTypeOf :: Char -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Char Source #

maxBound :: Char Source #

Enum Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Char -> Char Source #

pred :: Char -> Char Source #

toEnum :: Int -> Char Source #

fromEnum :: Char -> Int Source #

enumFrom :: Char -> [Char] Source #

enumFromThen :: Char -> Char -> [Char] Source #

enumFromTo :: Char -> Char -> [Char] Source #

enumFromThenTo :: Char -> Char -> Char -> [Char] Source #

Storable Char Source #

Since: base-2.1

Instance details

Methods

sizeOf :: Char -> Int Source #

alignment :: Char -> Int Source #

peekElemOff :: Ptr Char -> Int -> IO Char Source #

pokeElemOff :: Ptr Char -> Int -> Char -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Char Source #

pokeByteOff :: Ptr b -> Int -> Char -> IO () Source #

peek :: Ptr Char -> IO Char Source #

poke :: Ptr Char -> Char -> IO () Source #

Ix Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Char, Char) -> [Char] Source #

index :: (Char, Char) -> Char -> Int Source #

unsafeIndex :: (Char, Char) -> Char -> Int Source #

inRange :: (Char, Char) -> Char -> Bool Source #

rangeSize :: (Char, Char) -> Int Source #

unsafeRangeSize :: (Char, Char) -> Int Source #

Read Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Char Source #

readList :: ReadS [Char] Source #

readPrec :: ReadPrec Char Source #

readListPrec :: ReadPrec [Char] Source #

Show Char Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Char -> ShowS Source #

show :: Char -> String Source #

showList :: [Char] -> ShowS Source #

TestCoercion SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

testCoercion :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (Coercion a b) Source #

TestEquality SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Internal.TypeLits

Methods

testEquality :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (a :~: b) Source #

Lift Char Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => Char -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => Char -> Code m Char Source #

Generic1 (URec Char :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Char :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Char a -> Rep1 (URec Char :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a Source #

Foldable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Eq (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

Generic (URec Char p) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Char p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

Methods

from :: URec Char p -> Rep (URec Char p) x Source #

to :: Rep (URec Char p) x -> URec Char p Source #

Show (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

showsPrec :: Int -> URec Char p -> ShowS Source #

show :: URec Char p -> String Source #

showList :: [URec Char p] -> ShowS Source #

data URec Char (p :: k) Source #

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Char (p :: k) = UChar {

uChar# :: Char#

}

type Compare (a :: Char) (b :: Char) Source #

Instance details

Defined in GHC.Internal.Data.Type.Ord

type Compare (a :: Char) (b :: Char) = CmpChar a b

type Rep1 (URec Char :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

type Rep (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

data Int Source #

A fixed-precision integer type with at least the range [-2^29 .. 2^29-1]. The exact range for a given implementation can be determined by using minBound and maxBound from the Bounded class.

Constructors

I# Int#

Instances

Instances details

Bits Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

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

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

xor :: Int -> Int -> Int Source #

complement :: Int -> Int Source #

shift :: Int -> Int -> Int Source #

rotate :: Int -> Int -> Int Source #

zeroBits :: Int Source #

bit :: Int -> Int Source #

setBit :: Int -> Int -> Int Source #

clearBit :: Int -> Int -> Int Source #

complementBit :: Int -> Int -> Int Source #

testBit :: Int -> Int -> Bool Source #

bitSizeMaybe :: Int -> Maybe Int Source #

bitSize :: Int -> Int Source #

isSigned :: Int -> Bool Source #

shiftL :: Int -> Int -> Int Source #

unsafeShiftL :: Int -> Int -> Int Source #

shiftR :: Int -> Int -> Int Source #

unsafeShiftR :: Int -> Int -> Int Source #

rotateL :: Int -> Int -> Int Source #

rotateR :: Int -> Int -> Int Source #

popCount :: Int -> Int Source #

FiniteBits Int Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Int -> Int Source #

countLeadingZeros :: Int -> Int Source #

countTrailingZeros :: Int -> Int Source #

Eq Int Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord Int Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Int -> Int -> Ordering Source #

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

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

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

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

max :: Int -> Int -> Int Source #

min :: Int -> Int -> Int Source #

Data Int Source #

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) -> Int -> c Int Source #

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

toConstr :: Int -> Constr Source #

dataTypeOf :: Int -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Int Source #

maxBound :: Int Source #

Enum Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Int -> Int Source #

pred :: Int -> Int Source #

toEnum :: Int -> Int Source #

fromEnum :: Int -> Int Source #

enumFrom :: Int -> [Int] Source #

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

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

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

Storable Int Source #

Since: base-2.1

Instance details

Methods

sizeOf :: Int -> Int Source #

alignment :: Int -> Int Source #

peekElemOff :: Ptr Int -> Int -> IO Int Source #

pokeElemOff :: Ptr Int -> Int -> Int -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Int Source #

pokeByteOff :: Ptr b -> Int -> Int -> IO () Source #

peek :: Ptr Int -> IO Int Source #

poke :: Ptr Int -> Int -> IO () Source #

Ix Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Int, Int) -> [Int] Source #

index :: (Int, Int) -> Int -> Int Source #

unsafeIndex :: (Int, Int) -> Int -> Int Source #

inRange :: (Int, Int) -> Int -> Bool Source #

rangeSize :: (Int, Int) -> Int Source #

unsafeRangeSize :: (Int, Int) -> Int Source #

Num Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Methods

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

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

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

negate :: Int -> Int Source #

abs :: Int -> Int Source #

signum :: Int -> Int Source #

fromInteger :: Integer -> Int Source #

Read Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Int Source #

readList :: ReadS [Int] Source #

readPrec :: ReadPrec Int Source #

readListPrec :: ReadPrec [Int] Source #

Integral Int Source #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

quot :: Int -> Int -> Int Source #

rem :: Int -> Int -> Int Source #

div :: Int -> Int -> Int Source #

mod :: Int -> Int -> Int Source #

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

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

toInteger :: Int -> Integer Source #

Real Int Source #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Int -> Rational Source #

Show Int Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Int -> ShowS Source #

show :: Int -> String Source #

showList :: [Int] -> ShowS Source #

Lift Int Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

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

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

Generic1 (URec Int :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Int :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Int a -> Rep1 (URec Int :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Int :: k -> Type) a -> URec Int a Source #

Foldable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

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

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

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

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

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

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Eq (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

Generic (URec Int p) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

Methods

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

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

Show (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

show :: URec Int p -> String Source #

showList :: [URec Int p] -> ShowS Source #

data URec Int (p :: k) Source #

Used for marking occurrences of Int#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Int (p :: k) = UInt {

uInt# :: Int#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Word Source #

A Word is an unsigned integral type, with the same size as Int.

Constructors

W# Word#

Instances

Instances details

Bits Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Bits

Methods

(.&.) :: Word -> Word -> Word Source #

(.|.) :: Word -> Word -> Word Source #

xor :: Word -> Word -> Word Source #

complement :: Word -> Word Source #

shift :: Word -> Int -> Word Source #

rotate :: Word -> Int -> Word Source #

zeroBits :: Word Source #

bit :: Int -> Word Source #

setBit :: Word -> Int -> Word Source #

clearBit :: Word -> Int -> Word Source #

complementBit :: Word -> Int -> Word Source #

testBit :: Word -> Int -> Bool Source #

bitSizeMaybe :: Word -> Maybe Int Source #

bitSize :: Word -> Int Source #

isSigned :: Word -> Bool Source #

shiftL :: Word -> Int -> Word Source #

unsafeShiftL :: Word -> Int -> Word Source #

shiftR :: Word -> Int -> Word Source #

unsafeShiftR :: Word -> Int -> Word Source #

rotateL :: Word -> Int -> Word Source #

rotateR :: Word -> Int -> Word Source #

popCount :: Word -> Int Source #

FiniteBits Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Bits

Methods

finiteBitSize :: Word -> Int Source #

countLeadingZeros :: Word -> Int Source #

countTrailingZeros :: Word -> Int Source #

Eq Word Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord Word Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Word -> Word -> Ordering Source #

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

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

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

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

max :: Word -> Word -> Word Source #

min :: Word -> Word -> Word Source #

Data Word Source #

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) -> Word -> c Word Source #

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

toConstr :: Word -> Constr Source #

dataTypeOf :: Word -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Word Source #

maxBound :: Word Source #

Enum Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Word -> Word Source #

pred :: Word -> Word Source #

toEnum :: Int -> Word Source #

fromEnum :: Word -> Int Source #

enumFrom :: Word -> [Word] Source #

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

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

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

Storable Word Source #

Since: base-2.1

Instance details

Methods

sizeOf :: Word -> Int Source #

alignment :: Word -> Int Source #

peekElemOff :: Ptr Word -> Int -> IO Word Source #

pokeElemOff :: Ptr Word -> Int -> Word -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Word Source #

pokeByteOff :: Ptr b -> Int -> Word -> IO () Source #

peek :: Ptr Word -> IO Word Source #

poke :: Ptr Word -> Word -> IO () Source #

Ix Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Word, Word) -> [Word] Source #

index :: (Word, Word) -> Word -> Int Source #

unsafeIndex :: (Word, Word) -> Word -> Int Source #

inRange :: (Word, Word) -> Word -> Bool Source #

rangeSize :: (Word, Word) -> Int Source #

unsafeRangeSize :: (Word, Word) -> Int Source #

Num Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Num

Methods

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

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

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

negate :: Word -> Word Source #

abs :: Word -> Word Source #

signum :: Word -> Word Source #

fromInteger :: Integer -> Word Source #

Read Word Source #

Since: base-4.5.0.0

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Word Source #

readList :: ReadS [Word] Source #

readPrec :: ReadPrec Word Source #

readListPrec :: ReadPrec [Word] Source #

Integral Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Real

Methods

quot :: Word -> Word -> Word Source #

rem :: Word -> Word -> Word Source #

div :: Word -> Word -> Word Source #

mod :: Word -> Word -> Word Source #

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

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

toInteger :: Word -> Integer Source #

Real Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Real

Methods

toRational :: Word -> Rational Source #

Show Word Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Word -> ShowS Source #

show :: Word -> String Source #

showList :: [Word] -> ShowS Source #

Lift Word Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

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

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

Generic1 (URec Word :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Word :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Word a -> Rep1 (URec Word :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Word :: k -> Type) a -> URec Word a Source #

Foldable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

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

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

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

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

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

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Eq (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

Generic (URec Word p) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

Methods

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

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

Show (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

show :: URec Word p -> String Source #

showList :: [URec Word p] -> ShowS Source #

data URec Word (p :: k) Source #

Used for marking occurrences of Word#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Word (p :: k) = UWord {

uWord# :: Word#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Float Source #

Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.

Constructors

F# Float#

Instances

Instances details

Eq Float Source #

Note that due to the presence of NaN, Float's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Float)
False

Also note that Float's Eq instance does not satisfy extensionality:

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord Float Source #

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

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Float -> Float -> Ordering Source #

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

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

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

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

max :: Float -> Float -> Float Source #

min :: Float -> Float -> Float Source #

Data Float Source #

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) -> Float -> c Float Source #

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

toConstr :: Float -> Constr Source #

dataTypeOf :: Float -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Float Source #

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5 :: Float]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Float -> Float Source #

pred :: Float -> Float Source #

toEnum :: Int -> Float Source #

fromEnum :: Float -> Int Source #

enumFrom :: Float -> [Float] Source #

enumFromThen :: Float -> Float -> [Float] Source #

enumFromTo :: Float -> Float -> [Float] Source #

enumFromThenTo :: Float -> Float -> Float -> [Float] Source #

Floating Float Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Float Source #

exp :: Float -> Float Source #

log :: Float -> Float Source #

sqrt :: Float -> Float Source #

(**) :: Float -> Float -> Float Source #

logBase :: Float -> Float -> Float Source #

sin :: Float -> Float Source #

cos :: Float -> Float Source #

tan :: Float -> Float Source #

asin :: Float -> Float Source #

acos :: Float -> Float Source #

atan :: Float -> Float Source #

sinh :: Float -> Float Source #

cosh :: Float -> Float Source #

tanh :: Float -> Float Source #

asinh :: Float -> Float Source #

acosh :: Float -> Float Source #

atanh :: Float -> Float Source #

log1p :: Float -> Float Source #

expm1 :: Float -> Float Source #

log1pexp :: Float -> Float Source #

log1mexp :: Float -> Float Source #

RealFloat Float Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Float -> Integer Source #

floatDigits :: Float -> Int Source #

floatRange :: Float -> (Int, Int) Source #

decodeFloat :: Float -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Float Source #

exponent :: Float -> Int Source #

significand :: Float -> Float Source #

scaleFloat :: Int -> Float -> Float Source #

isNaN :: Float -> Bool Source #

isInfinite :: Float -> Bool Source #

isDenormalized :: Float -> Bool Source #

isNegativeZero :: Float -> Bool Source #

isIEEE :: Float -> Bool Source #

atan2 :: Float -> Float -> Float Source #

Storable Float Source #

Since: base-2.1

Instance details

Methods

sizeOf :: Float -> Int Source #

alignment :: Float -> Int Source #

peekElemOff :: Ptr Float -> Int -> IO Float Source #

pokeElemOff :: Ptr Float -> Int -> Float -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Float Source #

pokeByteOff :: Ptr b -> Int -> Float -> IO () Source #

peek :: Ptr Float -> IO Float Source #

poke :: Ptr Float -> Float -> IO () Source #

Num Float Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

>>> (0.1 + 0.1 :: Float) + 0.5 == 0.1 + (0.1 + 0.5)
False
>>> (0.1 + 0.2 :: Float) * 0.9 == 0.1 * 0.9 + 0.2 * 0.9
False
>>> (0.1 * 0.1 :: Float) * 0.9 == 0.1 * (0.1 * 0.9)
False

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(+) :: Float -> Float -> Float Source #

(-) :: Float -> Float -> Float Source #

(*) :: Float -> Float -> Float Source #

negate :: Float -> Float Source #

abs :: Float -> Float Source #

signum :: Float -> Float Source #

fromInteger :: Integer -> Float Source #

Read Float Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Float Source #

readList :: ReadS [Float] Source #

readPrec :: ReadPrec Float Source #

readListPrec :: ReadPrec [Float] Source #

Fractional Float Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False
>>> map (/ 0) [-1, 0, 1 :: Float]
[-Infinity,NaN,Infinity]
>>> map (* 0) $ map (/ 0) [-1, 0, 1 :: Float]
[NaN,NaN,NaN]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(/) :: Float -> Float -> Float Source #

recip :: Float -> Float Source #

fromRational :: Rational -> Float Source #

Real Float Source #

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0 :: Float)
340282366920938463463374607431768211456 % 1
>>> toRational (0/0 :: Float)
510423550381407695195061911147652317184 % 1

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

toRational :: Float -> Rational Source #

RealFrac Float Source #

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0 :: Float] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Float)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

properFraction :: Integral b => Float -> (b, Float) Source #

truncate :: Integral b => Float -> b Source #

round :: Integral b => Float -> b Source #

ceiling :: Integral b => Float -> b Source #

floor :: Integral b => Float -> b Source #

Show Float Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

showsPrec :: Int -> Float -> ShowS Source #

show :: Float -> String Source #

showList :: [Float] -> ShowS Source #

Lift Float Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

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

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

Generic1 (URec Float :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Float :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Float a -> Rep1 (URec Float :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a Source #

Foldable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

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

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

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

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

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

Traversable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Eq (URec Float p) Source #

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Float p) Source #

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

Generic (URec Float p) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

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

Methods

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

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

Show (URec Float p) Source #

Instance details

Defined in GHC.Internal.Generics

Methods

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

show :: URec Float p -> String Source #

showList :: [URec Float p] -> ShowS Source #

data URec Float (p :: k) Source #

Used for marking occurrences of Float#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Float (p :: k) = UFloat {

uFloat# :: Float#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Float p) Source #

Instance details

Defined in GHC.Internal.Generics

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

data Double Source #

Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.

Constructors

D# Double#

Instances

Instances details

Eq Double Source #

Note that due to the presence of NaN, Double's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Double)
False

Also note that Double's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord Double Source #

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

Methods

compare :: Double -> Double -> Ordering Source #

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

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

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

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

max :: Double -> Double -> Double Source #

min :: Double -> Double -> Double Source #

Data Double Source #

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) -> Double -> c Double Source #

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

toConstr :: Double -> Constr Source #

dataTypeOf :: Double -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Enum Double Source #

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

succ :: Double -> Double Source #

pred :: Double -> Double Source #

toEnum :: Int -> Double Source #

fromEnum :: Double -> Int Source #

enumFrom :: Double -> [Double] Source #

enumFromThen :: Double -> Double -> [Double] Source #

enumFromTo :: Double -> Double -> [Double] Source #

enumFromThenTo :: Double -> Double -> Double -> [Double] Source #

Floating Double Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

pi :: Double Source #

exp :: Double -> Double Source #

log :: Double -> Double Source #

sqrt :: Double -> Double Source #

(**) :: Double -> Double -> Double Source #

logBase :: Double -> Double -> Double Source #

sin :: Double -> Double Source #

cos :: Double -> Double Source #

tan :: Double -> Double Source #

asin :: Double -> Double Source #

acos :: Double -> Double Source #

atan :: Double -> Double Source #

sinh :: Double -> Double Source #

cosh :: Double -> Double Source #

tanh :: Double -> Double Source #

asinh :: Double -> Double Source #

acosh :: Double -> Double Source #

atanh :: Double -> Double Source #

log1p :: Double -> Double Source #

expm1 :: Double -> Double Source #

log1pexp :: Double -> Double Source #

log1mexp :: Double -> Double Source #

RealFloat Double Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

floatRadix :: Double -> Integer Source #

floatDigits :: Double -> Int Source #

floatRange :: Double -> (Int, Int) Source #

decodeFloat :: Double -> (Integer, Int) Source #

encodeFloat :: Integer -> Int -> Double Source #

exponent :: Double -> Int Source #

significand :: Double -> Double Source #

scaleFloat :: Int -> Double -> Double Source #

isNaN :: Double -> Bool Source #

isInfinite :: Double -> Bool Source #

isDenormalized :: Double -> Bool Source #

isNegativeZero :: Double -> Bool Source #

isIEEE :: Double -> Bool Source #

atan2 :: Double -> Double -> Double Source #

Storable Double Source #

Since: base-2.1

Instance details

Methods

sizeOf :: Double -> Int Source #

alignment :: Double -> Int Source #

peekElemOff :: Ptr Double -> Int -> IO Double Source #

pokeElemOff :: Ptr Double -> Int -> Double -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO Double Source #

pokeByteOff :: Ptr b -> Int -> Double -> IO () Source #

peek :: Ptr Double -> IO Double Source #

poke :: Ptr Double -> Double -> IO () Source #

Num Double Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

>>> (0.1 + 0.1) + 0.4 == 0.1 + (0.1 + 0.4)
False
>>> (0.1 + 0.2) * 0.3 == 0.1 * 0.3 + 0.2 * 0.3
False
>>> (0.1 * 0.1) * 0.3 == 0.1 * (0.1 * 0.3)
False

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(+) :: Double -> Double -> Double Source #

(-) :: Double -> Double -> Double Source #

(*) :: Double -> Double -> Double Source #

negate :: Double -> Double Source #

abs :: Double -> Double Source #

signum :: Double -> Double Source #

fromInteger :: Integer -> Double Source #

Read Double Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Double Source #

readList :: ReadS [Double] Source #

readPrec :: ReadPrec Double Source #

readListPrec :: ReadPrec [Double] Source #

Fractional Double Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False
>>> map (/ 0) [-1, 0, 1]
[-Infinity,NaN,Infinity]
>>> map (* 0) $ map (/ 0) [-1, 0, 1]
[NaN,NaN,NaN]

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

(/) :: Double -> Double -> Double Source #

recip :: Double -> Double Source #

fromRational :: Rational -> Double Source #

Real Double Source #

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0)
179769313 (and 300 more digits...) % 1
>>> toRational (0/0)
269653970 (and 300 more digits...) % 1

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

toRational :: Double -> Rational Source #

RealFrac Double Source #

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Double)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

properFraction :: Integral b => Double -> (b, Double) Source #

truncate :: Integral b => Double -> b Source #

round :: Integral b => Double -> b Source #

ceiling :: Integral b => Double -> b Source #

floor :: Integral b => Double -> b Source #

Show Double Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Float

Methods

showsPrec :: Int -> Double -> ShowS Source #

show :: Double -> String Source #

showList :: [Double] -> ShowS Source #

Lift Double Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

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

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

Generic1 (URec Double :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (URec Double :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Double a -> Rep1 (URec Double :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a Source #

Foldable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

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

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

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

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

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

Traversable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Eq (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Ord (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

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

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

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

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

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

Generic (URec Double p) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Internal.Generics" "ghc-internal" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

Methods

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

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

Show (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

show :: URec Double p -> String Source #

showList :: [URec Double p] -> ShowS Source #

data URec Double (p :: k) Source #

Used for marking occurrences of Double#

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

data URec Double (p :: k) = UDouble {

uDouble# :: Double#

}

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

type Rep (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

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

data Ordering Source #

Constructors

LT
EQ
GT

Instances

Instances details

Monoid Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mempty :: Ordering Source #

mappend :: Ordering -> Ordering -> Ordering Source #

mconcat :: [Ordering] -> Ordering Source #

Semigroup Ordering Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

(<>) :: Ordering -> Ordering -> Ordering Source #

sconcat :: NonEmpty Ordering -> Ordering Source #

stimes :: Integral b => b -> Ordering -> Ordering Source #

Eq Ordering Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

(/=) :: Ordering -> Ordering -> Bool Source #

Ord Ordering Source #

Instance details

Defined in GHC.Internal.Classes

Methods

compare :: Ordering -> Ordering -> Ordering Source #

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

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

(>) :: Ordering -> Ordering -> Bool Source #

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

max :: Ordering -> Ordering -> Ordering Source #

min :: Ordering -> Ordering -> Ordering Source #

Data Ordering Source #

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 Source #

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

toConstr :: Ordering -> Constr Source #

dataTypeOf :: Ordering -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Bounded Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

minBound :: Ordering Source #

maxBound :: Ordering Source #

Enum Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Enum

Methods

succ :: Ordering -> Ordering Source #

pred :: Ordering -> Ordering Source #

toEnum :: Int -> Ordering Source #

fromEnum :: Ordering -> Int Source #

enumFrom :: Ordering -> [Ordering] Source #

enumFromThen :: Ordering -> Ordering -> [Ordering] Source #

enumFromTo :: Ordering -> Ordering -> [Ordering] Source #

enumFromThenTo :: Ordering -> Ordering -> Ordering -> [Ordering] Source #

Generic Ordering Source #

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 Source #

to :: Rep Ordering x -> Ordering Source #

Ix Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Ix

Methods

range :: (Ordering, Ordering) -> [Ordering] Source #

index :: (Ordering, Ordering) -> Ordering -> Int Source #

unsafeIndex :: (Ordering, Ordering) -> Ordering -> Int Source #

inRange :: (Ordering, Ordering) -> Ordering -> Bool Source #

rangeSize :: (Ordering, Ordering) -> Int Source #

unsafeRangeSize :: (Ordering, Ordering) -> Int Source #

Read Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS Ordering Source #

readList :: ReadS [Ordering] Source #

readPrec :: ReadPrec Ordering Source #

readListPrec :: ReadPrec [Ordering] Source #

Show Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> Ordering -> ShowS Source #

show :: Ordering -> String Source #

showList :: [Ordering] -> ShowS Source #

type Rep Ordering Source #

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 IO a Source #

A value of type IO a is a computation which, when performed, does some I/O before returning a value of type a.

There is really only one way to "perform" an I/O action: bind it to Main.main in your program. When your program is run, the I/O will be performed. It isn't possible to perform I/O from an arbitrary function, unless that function is itself in the IO monad and called at some point, directly or indirectly, from Main.main.

IO is a monad, so IO actions can be combined using either the do-notation or the >> and >>= operations from the Monad class.

Constructors

IO (State# RealWorld -> (# State# RealWorld, a #))

Instances

Instances details

Alternative IO Source #	Takes the first non-throwing `IO` action's result. `empty` throws an exception. Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods empty :: IO a Source # (<\|>) :: IO a -> IO a -> IO a Source # some :: IO a -> IO [a] Source # many :: IO a -> IO [a] Source #
Applicative IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods pure :: a -> IO a Source # (<>) :: IO (a -> b) -> IO a -> IO b Source # liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c Source # (>) :: IO a -> IO b -> IO b Source # (<*) :: IO a -> IO b -> IO a Source #
Functor IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods fmap :: (a -> b) -> IO a -> IO b Source # (<$) :: a -> IO b -> IO a Source #
Monad IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Base Methods (>>=) :: IO a -> (a -> IO b) -> IO b Source # (>>) :: IO a -> IO b -> IO b Source # return :: a -> IO a Source #
MonadPlus IO Source #	Takes the first non-throwing `IO` action's result. `mzero` throws an exception. Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mzero :: IO a Source # mplus :: IO a -> IO a -> IO a Source #
MonadFail IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.Fail Methods fail :: String -> IO a Source #
MonadFix IO Source #	Since: base-2.1
Instance details Defined in GHC.Internal.Control.Monad.Fix Methods mfix :: (a -> IO a) -> IO a Source #
MonadIO IO Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Control.Monad.IO.Class Methods liftIO :: IO a -> IO a Source #
GHCiSandboxIO IO Source #	Since: base-4.4.0.0
Instance details Defined in GHC.Internal.GHCi Methods ghciStepIO :: IO a -> IO a Source #
Quasi IO Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods qNewName :: String -> IO Name Source # qReport :: Bool -> String -> IO () Source # qRecover :: IO a -> IO a -> IO a Source # qLookupName :: Bool -> String -> IO (Maybe Name) Source # qReify :: Name -> IO Info Source # qReifyFixity :: Name -> IO (Maybe Fixity) Source # qReifyType :: Name -> IO Type Source # qReifyInstances :: Name -> [Type] -> IO [Dec] Source # qReifyRoles :: Name -> IO [Role] Source # qReifyAnnotations :: Data a => AnnLookup -> IO [a] Source # qReifyModule :: Module -> IO ModuleInfo Source # qReifyConStrictness :: Name -> IO [DecidedStrictness] Source # qLocation :: IO Loc Source # qRunIO :: IO a -> IO a Source # qGetPackageRoot :: IO FilePath Source # qAddDependentFile :: FilePath -> IO () Source # qAddTempFile :: String -> IO FilePath Source # qAddTopDecls :: [Dec] -> IO () Source # qAddForeignFilePath :: ForeignSrcLang -> String -> IO () Source # qAddModFinalizer :: Q () -> IO () Source # qAddCorePlugin :: String -> IO () Source # qGetQ :: Typeable a => IO (Maybe a) Source # qPutQ :: Typeable a => a -> IO () Source # qIsExtEnabled :: Extension -> IO Bool Source # qExtsEnabled :: IO [Extension] Source # qPutDoc :: DocLoc -> String -> IO () Source # qGetDoc :: DocLoc -> IO (Maybe String) Source #
Quote IO Source #
Instance details Defined in GHC.Internal.TH.Syntax Methods newName :: String -> IO Name Source #
Monoid a => Monoid (IO a) Source #	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Base Methods mempty :: IO a Source # mappend :: IO a -> IO a -> IO a Source # mconcat :: [IO a] -> IO a Source #
Semigroup a => Semigroup (IO a) Source #	Since: base-4.10.0.0
Instance details Defined in GHC.Internal.Base Methods (<>) :: IO a -> IO a -> IO a Source # sconcat :: NonEmpty (IO a) -> IO a Source # stimes :: Integral b => b -> IO a -> IO a Source #

data List a Source #

The builtin linked list type.

In Haskell, lists are one of the most important data types as they are often used analogous to loops in imperative programming languages. These lists are singly linked, which makes them unsuited for operations that require $\mathcal{O}(1)$ access. Instead, they are intended to be traversed.

You can use List a or [a] in type signatures:

length :: [a] -> Int

length :: List a -> Int

They are fully equivalent, and List a will be normalised to [a].

Usage

Lists are constructed recursively using the right-associative constructor operator (or cons) (:) :: a -> [a] -> [a], which prepends an element to a list, and the empty list [].

(1 : 2 : 3 : []) == (1 : (2 : (3 : []))) == [1, 2, 3]

Lists can also be constructed using list literals of the form [x_1, x_2, ..., x_n] which are syntactic sugar and, unless -XOverloadedLists is enabled, are translated into uses of (:) and []

String literals, like "I 💜 hs", are translated into Lists of characters, ['I', ' ', '💜', ' ', 'h', 's'].

Implementation

Expand

Internally and in memory, all the above are represented like this, with arrows being pointers to locations in memory.

╭───┬───┬──╮   ╭───┬───┬──╮   ╭───┬───┬──╮   ╭────╮
│(:)│   │ ─┼──>│(:)│   │ ─┼──>│(:)│   │ ─┼──>│ [] │
╰───┴─┼─┴──╯   ╰───┴─┼─┴──╯   ╰───┴─┼─┴──╯   ╰────╯
      v              v              v
      1              2              3

Examples

Expand

>>> ['H', 'a', 's', 'k', 'e', 'l', 'l']
"Haskell"

>>> 1 : [4, 1, 5, 9]
[1,4,1,5,9]

>>> [] : [] : []
[[],[]]

Since: ghc-internal-0.10.0

Instances

Instances details

Alternative [] Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

empty :: [a] Source #

(<|>) :: [a] -> [a] -> [a] Source #

some :: [a] -> [[a]] Source #

many :: [a] -> [[a]] Source #

Applicative [] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

pure :: a -> [a] Source #

(<*>) :: [a -> b] -> [a] -> [b] Source #

liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] Source #

(*>) :: [a] -> [b] -> [b] Source #

(<*) :: [a] -> [b] -> [a] Source #

Functor [] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

fmap :: (a -> b) -> [a] -> [b] Source #

(<$) :: a -> [b] -> [a] Source #

Monad [] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] Source #

(>>) :: [a] -> [b] -> [b] Source #

return :: a -> [a] Source #

MonadPlus [] Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mzero :: [a] Source #

mplus :: [a] -> [a] -> [a] Source #

MonadFail [] Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Control.Monad.Fail

Methods

fail :: String -> [a] Source #

MonadFix [] Source #

Since: base-2.1

Instance details

Methods

mfix :: (a -> [a]) -> [a] Source #

MonadZip [] Source #

Since: ghc-internal-4.3.1.0

Instance details

Methods

mzip :: [a] -> [b] -> [(a, b)] Source #

mzipWith :: (a -> b -> c) -> [a] -> [b] -> [c] Source #

munzip :: [(a, b)] -> ([a], [b]) Source #

Foldable [] Source #

Since: base-2.1

Instance details

Methods

fold :: Monoid m => [m] -> m Source #

foldMap :: Monoid m => (a -> m) -> [a] -> m Source #

foldMap' :: Monoid m => (a -> m) -> [a] -> m Source #

foldr :: (a -> b -> b) -> b -> [a] -> b Source #

foldr' :: (a -> b -> b) -> b -> [a] -> b Source #

foldl :: (b -> a -> b) -> b -> [a] -> b Source #

foldl' :: (b -> a -> b) -> b -> [a] -> b Source #

foldr1 :: (a -> a -> a) -> [a] -> a Source #

foldl1 :: (a -> a -> a) -> [a] -> a Source #

toList :: [a] -> [a] Source #

null :: [a] -> Bool Source #

length :: [a] -> Int Source #

elem :: Eq a => a -> [a] -> Bool Source #

maximum :: Ord a => [a] -> a Source #

minimum :: Ord a => [a] -> a Source #

sum :: Num a => [a] -> a Source #

product :: Num a => [a] -> a Source #

Traversable [] Source #

Since: base-2.1

Instance details

Methods

traverse :: Applicative f => (a -> f b) -> [a] -> f [b] Source #

sequenceA :: Applicative f => [f a] -> f [a] Source #

mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source #

sequence :: Monad m => [m a] -> m [a] Source #

Generic1 [] Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 []

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 [] = D1 ('MetaData "List" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "[]" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: [a] -> Rep1 [] a Source #

to1 :: Rep1 [] a -> [a] Source #

Lift a => Lift ([a] :: Type) Source #

Instance details

Defined in GHC.Internal.TH.Lift

Methods

lift :: Quote m => [a] -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => [a] -> Code m [a] Source #

Monoid [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Base

Methods

mempty :: [a] Source #

mappend :: [a] -> [a] -> [a] Source #

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

Semigroup [a] Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Base

Methods

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

sconcat :: NonEmpty [a] -> [a] Source #

stimes :: Integral b => b -> [a] -> [a] Source #

Eq a => Eq [a] Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

Ord a => Ord [a] Source #

Instance details

Defined in GHC.Internal.Classes

Methods

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

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

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

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

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

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

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

Data a => Data [a] Source #

For historical reasons, the constructor name used for (:) is "(:)". In a derived instance, it would be ":".

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) -> [a] -> c [a] Source #

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

toConstr :: [a] -> Constr Source #

dataTypeOf :: [a] -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> [a] -> [a] Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> [a] -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

a ~ Char => IsString [a] Source #

(a ~ Char) context was introduced in 4.9.0.0

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.String

Methods

fromString :: String -> [a] Source #

Generic [a] Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep [a]

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep [a] = D1 ('MetaData "List" "GHC.Internal.Types" "ghc-internal" 'False) (C1 ('MetaCons "[]" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))

Methods

from :: [a] -> Rep [a] x Source #

to :: Rep [a] x -> [a] Source #

IsList [a] Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.IsList

Associated Types

type Item [a]
Instance details Defined in GHC.Internal.IsList type Item [a] = a

Methods

fromList :: [Item [a]] -> [a] Source #

fromListN :: Int -> [Item [a]] -> [a] Source #

toList :: [a] -> [Item [a]] Source #

Read a => Read [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Read

Methods

readsPrec :: Int -> ReadS [a] Source #

readList :: ReadS [[a]] Source #

readPrec :: ReadPrec [a] Source #

readListPrec :: ReadPrec [[a]] Source #

Show a => Show [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Show

Methods

showsPrec :: Int -> [a] -> ShowS Source #

show :: [a] -> String Source #

showList :: [[a]] -> ShowS Source #

type Rep1 [] Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep [a] Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Item [a] Source #

Instance details

Defined in GHC.Internal.IsList

type Item [a] = a

isTrue# :: Int# -> Bool Source #

Alias for tagToEnum#. Returns True if its parameter is 1# and False if it is 0#.

data SPEC Source #

SPEC is used by GHC in the SpecConstr pass in order to inform the compiler when to be particularly aggressive. In particular, it tells GHC to specialize regardless of size or the number of specializations. However, not all loops fall into this category.

Libraries can specify this by using SPEC data type to inform which loops should be aggressively specialized. For example, instead of

loop x where loop arg = ...

write

loop SPEC x where loop !_ arg = ...

There is no semantic difference between SPEC and SPEC2, we just need a type with two constructors lest it is optimised away before SpecConstr.

This type is reexported from GHC.Exts since GHC 9.0 and base-4.15. For compatibility with earlier releases import it from GHC.Internal.Types in ghc-internal package.

Since: ghc-internal-0.3.1.0

Constructors

SPEC
SPEC2

data Symbol Source #

(Kind) This is the kind of type-level symbols.

Instances

Instances details

TestCoercion SSymbol Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.TypeLits Methods testCoercion :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (Coercion a b) Source #
TestEquality SSymbol Source #	Since: base-4.18.0.0
Instance details Defined in GHC.Internal.TypeLits Methods testEquality :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (a :~: b) Source #
type Compare (a :: Symbol) (b :: Symbol) Source #
Instance details Defined in GHC.Internal.Data.Type.Ord type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b

type family Any :: k where ... Source #

The type constructor Any :: forall k. k is a type to which you can unsafely coerce any type, and back.

For unsafeCoerce this means for all lifted types t that unsafeCoerce (unsafeCoerce x :: Any) :: t is equivalent to x and safe.

The same is true for *all* types when using unsafeCoerce# :: forall (r1 :: RuntimeRep) (r2 :: RuntimeRep) (a :: TYPE r1) (b :: TYPE r2). a -> b but only if you instantiate r1 and r2 to the same runtime representation. For example using (unsafeCoerce# :: forall (a :: TYPE IntRep) (b :: TYPE IntRep). a -> b) x is fine, but (unsafeCoerce# :: forall (a :: TYPE IntRep) (b :: TYPE FloatRep). a -> b) will likely cause seg-faults or worse. For this resason, users should always prefer unsafeCoerce over unsafeCoerce# when possible.

Here are some more examples: bad_a1 :: Any(TYPE 'IntRep) bad_a1 = unsafeCoerce# True

bad_a2 :: Any (TYPE ('BoxedRep 'UnliftedRep)) bad_a2 = unsafeCoerce# True Here bad_a1 is bad because we started with True :: (Bool :: Type), represented by a boxed heap pointer, and coerced it to a1 :: Any (TYPE 'IntRep), whose representation is a non-pointer integer. That's why we had to use unsafeCoerce#; it is really unsafe because it can change representations. Similarlybad_a2 is bad because although both True and bad_a2are represented by a heap pointer,True is lifted but bad_a2@ is not; bugs here may be rather subtle.

If you must use unsafeCoerce# to cast to Any, type annotations are recommended to make sure that Any has the correct kind. As casting between different runtimereps is unsound. For example to cast a ByteArray# to Any you might use: unsafeCoerce# b :: (Any :: TYPE ('BoxedRep 'Unlifted))

Type equality

class a ~# b => (a :: k) ~ (b :: k) infix 4 Source #

Lifted, homogeneous equality. By lifted, we mean that it can be bogus (deferred type error). By homogeneous, the two types a and b must have the same kinds.

class a ~# b => (a :: k0) ~~ (b :: k1) infix 4 Source #

Lifted, heterogeneous equality. By lifted, we mean that it can be bogus (deferred type error). By heterogeneous, the two types a and b might have different kinds. Because ~~ can appear unexpectedly in error messages to users who do not care about the difference between heterogeneous equality ~~ and homogeneous equality ~, this is printed as ~ unless -fprint-equality-relations is set.

In 0.7.0, the fixity was set to infix 4 to match the fixity of :~~:.

class a ~R# b => Coercible (a :: k) (b :: k) Source #

Coercible is a two-parameter class that has instances for types a and b if the compiler can infer that they have the same representation. This class does not have regular instances; instead they are created on-the-fly during type-checking. Trying to manually declare an instance of Coercible is an error.

Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:

instance Coercible a a

Furthermore, for every type constructor there is an instance that allows to coerce under the type constructor. For example, let D be a prototypical type constructor (data or newtype) with three type arguments, which have roles nominal, representational resp. phantom. Then there is an instance of the form

instance Coercible b b' => Coercible (D a b c) (D a b' c')

Note that the nominal type arguments are equal, the representational type arguments can differ, but need to have a Coercible instance themself, and the phantom type arguments can be changed arbitrarily.

The third kind of instance exists for every newtype NT = MkNT T and comes in two variants, namely

instance Coercible a T => Coercible a NT

instance Coercible T b => Coercible NT b

This instance is only usable if the constructor MkNT is in scope.

If, as a library author of a type constructor like Set a, you want to prevent a user of your module to write coerce :: Set T -> Set NT, you need to set the role of Set's type parameter to nominal, by writing

type role Set nominal

For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.

Since: ghc-internal-0.4.0

Representation polymorphism

data TYPE (a :: RuntimeRep) Source #

Instances

Instances details

Generic1 NonEmpty Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 NonEmpty

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 NonEmpty = D1 ('MetaData "NonEmpty" "GHC.Internal.Base" "ghc-internal" 'False) (C1 ('MetaCons ":|" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: NonEmpty a -> Rep1 NonEmpty a Source #

to1 :: Rep1 NonEmpty a -> NonEmpty a Source #

Generic1 Identity Source #

Instance details

Defined in GHC.Internal.Data.Functor.Identity

Associated Types

type Rep1 Identity	Since: base-4.8.0.0
Instance details Defined in GHC.Internal.Data.Functor.Identity type Rep1 Identity = D1 ('MetaData "Identity" "GHC.Internal.Data.Functor.Identity" "ghc-internal" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Identity a -> Rep1 Identity a Source #

to1 :: Rep1 Identity a -> Identity a Source #

Generic1 First Source #

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 First	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 First = D1 ('MetaData "First" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last Source #

Instance details

Defined in GHC.Internal.Data.Monoid

Associated Types

type Rep1 Last	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Monoid type Rep1 Last = D1 ('MetaData "Last" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Down Source #

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 Source #

to1 :: Rep1 Down a -> Down a Source #

Generic1 Dual Source #

Instance details

Associated Types

type Rep1 Dual	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Dual = D1 ('MetaData "Dual" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Dual a -> Rep1 Dual a Source #

to1 :: Rep1 Dual a -> Dual a Source #

Generic1 Product Source #

Instance details

Associated Types

type Rep1 Product	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Product = D1 ('MetaData "Product" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Product a -> Rep1 Product a Source #

to1 :: Rep1 Product a -> Product a Source #

Generic1 Sum Source #

Instance details

Associated Types

type Rep1 Sum	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Data.Semigroup.Internal type Rep1 Sum = D1 ('MetaData "Sum" "GHC.Internal.Data.Semigroup.Internal" "ghc-internal" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Sum a -> Rep1 Sum a Source #

to1 :: Rep1 Sum a -> Sum a Source #

Generic1 ZipList Source #

Instance details

Defined in GHC.Internal.Functor.ZipList

Associated Types

type Rep1 ZipList	Since: base-4.7.0.0
Instance details Defined in GHC.Internal.Functor.ZipList type Rep1 ZipList = D1 ('MetaData "ZipList" "GHC.Internal.Functor.ZipList" "ghc-internal" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

Methods

from1 :: ZipList a -> Rep1 ZipList a Source #

to1 :: Rep1 ZipList a -> ZipList a Source #

Generic1 Par1 Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Par1	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Par1 a -> Rep1 Par1 a Source #

to1 :: Rep1 Par1 a -> Par1 a Source #

Generic1 Maybe Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Maybe	Since: base-4.6.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Internal.Maybe" "ghc-internal" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Maybe a -> Rep1 Maybe a Source #

to1 :: Rep1 Maybe a -> Maybe a Source #

Generic1 Solo Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 Solo	Since: base-4.15
Instance details Defined in GHC.Internal.Generics type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Solo a -> Rep1 Solo a Source #

to1 :: Rep1 Solo a -> Solo a Source #

Generic1 [] Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 []

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: [a] -> Rep1 [] a Source #

to1 :: Rep1 [] a -> [a] Source #

Monad m => Category (Kleisli m :: Type -> Type -> Type) Source #

Since: base-3.0

Instance details

Defined in GHC.Internal.Control.Arrow

Methods

id :: Kleisli m a a Source #

(.) :: Kleisli m b c -> Kleisli m a b -> Kleisli m a c Source #

Generic1 (Either a :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (Either a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 (Either a :: Type -> Type) = D1 ('MetaData "Either" "GHC.Internal.Data.Either" "ghc-internal" 'False) (C1 ('MetaCons "Left" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Right" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Either a a0 -> Rep1 (Either a) a0 Source #

to1 :: Rep1 (Either a) a0 -> Either a a0 Source #

Generic1 ((,) a :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,) a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,) a :: Type -> Type) = D1 ('MetaData "Tuple2" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: (a, a0) -> Rep1 ((,) a) a0 Source #

to1 :: Rep1 ((,) a) a0 -> (a, a0) Source #

Generic1 (Kleisli m a :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Control.Arrow

Associated Types

type Rep1 (Kleisli m a :: Type -> Type)	Since: base-4.14.0.0
Instance details Defined in GHC.Internal.Control.Arrow type Rep1 (Kleisli m a :: Type -> Type) = D1 ('MetaData "Kleisli" "GHC.Internal.Control.Arrow" "ghc-internal" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))

Methods

from1 :: Kleisli m a a0 -> Rep1 (Kleisli m a) a0 Source #

to1 :: Rep1 (Kleisli m a) a0 -> Kleisli m a a0 Source #

Generic1 ((,,) a b :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,) a b :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,) a b :: Type -> Type) = D1 ('MetaData "Tuple3" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,,)" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))

Methods

from1 :: (a, b, a0) -> Rep1 ((,,) a b) a0 Source #

to1 :: Rep1 ((,,) a b) a0 -> (a, b, a0) Source #

Generic1 ((,,,) a b c :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,) a b c :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,) a b c :: Type -> Type) = D1 ('MetaData "Tuple4" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))

Methods

from1 :: (a, b, c, a0) -> Rep1 ((,,,) a b c) a0 Source #

to1 :: Rep1 ((,,,) a b c) a0 -> (a, b, c, a0) Source #

Generic1 ((,,,,) a b c d :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,) a b c d :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,) a b c d :: Type -> Type) = D1 ('MetaData "Tuple5" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, a0) -> Rep1 ((,,,,) a b c d) a0 Source #

to1 :: Rep1 ((,,,,) a b c d) a0 -> (a, b, c, d, a0) Source #

Functor f => Generic1 (f :.: g :: k -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 (f :.: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Internal.Generics type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Internal.Generics" "ghc-internal" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). (f :.: g) a -> Rep1 (f :.: g) a Source #

to1 :: forall (a :: k). Rep1 (f :.: g) a -> (f :.: g) a Source #

Generic1 ((,,,,,) a b c d e :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,) a b c d e :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,) a b c d e :: Type -> Type) = D1 ('MetaData "Tuple6" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, e, a0) -> Rep1 ((,,,,,) a b c d e) a0 Source #

to1 :: Rep1 ((,,,,,) a b c d e) a0 -> (a, b, c, d, e, a0) Source #

Generic1 ((,,,,,,) a b c d e f :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,) a b c d e f :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 ((,,,,,,) a b c d e f :: Type -> Type) = D1 ('MetaData "Tuple7" "GHC.Internal.Tuple" "ghc-internal" 'False) (C1 ('MetaCons "(,,,,,,)" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

Methods

from1 :: (a, b, c, d, e, f, a0) -> Rep1 ((,,,,,,) a b c d e f) a0 Source #

to1 :: Rep1 ((,,,,,,) a b c d e f) a0 -> (a, b, c, d, e, f, a0) Source #

Generic1 ((,,,,,,,) a b c d e f g :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,) a b c d e f g :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, a0) -> Rep1 ((,,,,,,,) a b c d e f g) a0 Source #

to1 :: Rep1 ((,,,,,,,) a b c d e f g) a0 -> (a, b, c, d, e, f, g, a0) Source #

Generic1 ((,,,,,,,,) a b c d e f g h :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,) a b c d e f g h :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, a0) -> Rep1 ((,,,,,,,,) a b c d e f g h) a0 Source #

to1 :: Rep1 ((,,,,,,,,) a b c d e f g h) a0 -> (a, b, c, d, e, f, g, h, a0) Source #

Generic1 ((,,,,,,,,,) a b c d e f g h i :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,) a b c d e f g h i :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, a0) -> Rep1 ((,,,,,,,,,) a b c d e f g h i) a0 Source #

to1 :: Rep1 ((,,,,,,,,,) a b c d e f g h i) a0 -> (a, b, c, d, e, f, g, h, i, a0) Source #

Generic1 ((,,,,,,,,,,) a b c d e f g h i j :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,) a b c d e f g h i j :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, a0) -> Rep1 ((,,,,,,,,,,) a b c d e f g h i j) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,) a b c d e f g h i j) a0 -> (a, b, c, d, e, f, g, h, i, j, a0) Source #

Generic1 ((,,,,,,,,,,,) a b c d e f g h i j k :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, a0) -> Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,) a b c d e f g h i j k) a0 -> (a, b, c, d, e, f, g, h, i, j, k, a0) Source #

Generic1 ((,,,,,,,,,,,,) a b c d e f g h i j k l :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, a0) -> Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,) a b c d e f g h i j k l) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, a0) Source #

Generic1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) -> Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,,) a b c d e f g h i j k l m) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) Source #

Generic1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n :: Type -> Type) Source #

Instance details

Defined in GHC.Internal.Generics

Associated Types

type Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) -> Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n) a0 Source #

to1 :: Rep1 ((,,,,,,,,,,,,,,) a b c d e f g h i j k l m n) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) Source #

Alternative (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

empty :: Proxy a Source #

(<|>) :: Proxy a -> Proxy a -> Proxy a Source #

some :: Proxy a -> Proxy [a] Source #

many :: Proxy a -> Proxy [a] Source #

Alternative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: U1 a Source #

(<|>) :: U1 a -> U1 a -> U1 a Source #

some :: U1 a -> U1 [a] Source #

many :: U1 a -> U1 [a] Source #

Applicative (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

pure :: a -> Proxy a Source #

(<*>) :: Proxy (a -> b) -> Proxy a -> Proxy b Source #

liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source #

(*>) :: Proxy a -> Proxy b -> Proxy b Source #

(<*) :: Proxy a -> Proxy b -> Proxy a Source #

Applicative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> U1 a Source #

(<*>) :: U1 (a -> b) -> U1 a -> U1 b Source #

liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #

(*>) :: U1 a -> U1 b -> U1 b Source #

(<*) :: U1 a -> U1 b -> U1 a Source #

Functor (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b Source #

(<$) :: a -> Proxy b -> Proxy a Source #

Functor (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b Source #

(<$) :: a -> U1 b -> U1 a Source #

Functor (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Monad (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b Source #

(>>) :: Proxy a -> Proxy b -> Proxy b Source #

return :: a -> Proxy a Source #

Monad (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b Source #

(>>) :: U1 a -> U1 b -> U1 b Source #

return :: a -> U1 a Source #

MonadPlus (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Proxy

Methods

mzero :: Proxy a Source #

mplus :: Proxy a -> Proxy a -> Proxy a Source #

MonadPlus (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

mzero :: U1 a Source #

mplus :: U1 a -> U1 a -> U1 a Source #

MonadZip (Proxy :: Type -> Type) Source #

Since: ghc-internal-4.9.0.0

Instance details

Methods

mzip :: Proxy a -> Proxy b -> Proxy (a, b) Source #

mzipWith :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source #

munzip :: Proxy (a, b) -> (Proxy a, Proxy b) Source #

MonadZip (U1 :: Type -> Type) Source #

Since: ghc-internal-4.9.0.0

Instance details

Methods

mzip :: U1 a -> U1 b -> U1 (a, b) Source #

mzipWith :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #

munzip :: U1 (a, b) -> (U1 a, U1 b) Source #

Foldable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Methods

fold :: Monoid m => Proxy m -> m Source #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source #

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

foldr :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldl :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldr1 :: (a -> a -> a) -> Proxy a -> a Source #

foldl1 :: (a -> a -> a) -> Proxy a -> a Source #

toList :: Proxy a -> [a] Source #

null :: Proxy a -> Bool Source #

length :: Proxy a -> Int Source #

elem :: Eq a => a -> Proxy a -> Bool Source #

maximum :: Ord a => Proxy a -> a Source #

minimum :: Ord a => Proxy a -> a Source #

sum :: Num a => Proxy a -> a Source #

product :: Num a => Proxy a -> a Source #

Foldable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => U1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> U1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source #

foldr :: (a -> b -> b) -> b -> U1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> U1 a -> b Source #

foldl :: (b -> a -> b) -> b -> U1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> U1 a -> b Source #

foldr1 :: (a -> a -> a) -> U1 a -> a Source #

foldl1 :: (a -> a -> a) -> U1 a -> a Source #

toList :: U1 a -> [a] Source #

null :: U1 a -> Bool Source #

length :: U1 a -> Int Source #

elem :: Eq a => a -> U1 a -> Bool Source #

maximum :: Ord a => U1 a -> a Source #

minimum :: Ord a => U1 a -> a Source #

sum :: Num a => U1 a -> a Source #

product :: Num a => U1 a -> a Source #

Foldable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => UAddr m -> m Source #

foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldl :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldr1 :: (a -> a -> a) -> UAddr a -> a Source #

foldl1 :: (a -> a -> a) -> UAddr a -> a Source #

toList :: UAddr a -> [a] Source #

null :: UAddr a -> Bool Source #

length :: UAddr a -> Int Source #

elem :: Eq a => a -> UAddr a -> Bool Source #

maximum :: Ord a => UAddr a -> a Source #

minimum :: Ord a => UAddr a -> a Source #

sum :: Num a => UAddr a -> a Source #

product :: Num a => UAddr a -> a Source #

Foldable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Foldable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

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

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

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

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

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

Foldable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

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

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

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

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

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

Foldable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

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

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

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

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

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

Foldable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

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

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

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

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

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

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

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

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

Foldable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => V1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Traversable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Methods

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

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source #

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

sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #

Traversable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source #

sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source #

mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source #

sequence :: Monad m => U1 (m a) -> m (U1 a) Source #

Traversable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source #

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

sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Traversable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Traversable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

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

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

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

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

Traversable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source #

sequence :: Monad m => V1 (m a) -> m (V1 a) Source #

Alternative f => Alternative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

empty :: Ap f a Source #

(<|>) :: Ap f a -> Ap f a -> Ap f a Source #

some :: Ap f a -> Ap f [a] Source #

many :: Ap f a -> Ap f [a] Source #

Alternative f => Alternative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

empty :: Alt f a Source #

(<|>) :: Alt f a -> Alt f a -> Alt f a Source #

some :: Alt f a -> Alt f [a] Source #

many :: Alt f a -> Alt f [a] Source #

(Generic1 f, Alternative (Rep1 f)) => Alternative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: Generically1 f a Source #

(<|>) :: Generically1 f a -> Generically1 f a -> Generically1 f a Source #

some :: Generically1 f a -> Generically1 f [a] Source #

many :: Generically1 f a -> Generically1 f [a] Source #

Alternative f => Alternative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: Rec1 f a Source #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

some :: Rec1 f a -> Rec1 f [a] Source #

many :: Rec1 f a -> Rec1 f [a] Source #

Monoid m => Applicative (Const m :: Type -> Type) Source #

Since: base-2.0.1

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

pure :: a -> Const m a Source #

(<*>) :: Const m (a -> b) -> Const m a -> Const m b Source #

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c Source #

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

(<*) :: Const m a -> Const m b -> Const m a Source #

Applicative f => Applicative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

pure :: a -> Ap f a Source #

(<*>) :: Ap f (a -> b) -> Ap f a -> Ap f b Source #

liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c Source #

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

(<*) :: Ap f a -> Ap f b -> Ap f a Source #

Applicative f => Applicative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

pure :: a -> Alt f a Source #

(<*>) :: Alt f (a -> b) -> Alt f a -> Alt f b Source #

liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source #

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

(<*) :: Alt f a -> Alt f b -> Alt f a Source #

(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> Generically1 f a Source #

(<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source #

liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source #

(*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source #

(<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #

Applicative f => Applicative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> Rec1 f a Source #

(<*>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b Source #

liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #

(*>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source #

(<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a Source #

Functor (Const m :: Type -> Type) Source #

Since: base-2.1

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b Source #

(<$) :: a -> Const m b -> Const m a Source #

Functor f => Functor (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b Source #

(<$) :: a -> Ap f b -> Ap f a Source #

Functor f => Functor (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b Source #

(<$) :: a -> Alt f b -> Alt f a Source #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source #

(<$) :: a -> Generically1 f b -> Generically1 f a Source #

Functor f => Functor (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source #

(<$) :: a -> Rec1 f b -> Rec1 f a Source #

Functor (URec (Ptr ()) :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

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

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

Monad f => Monad (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source #

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

return :: a -> Ap f a Source #

Monad f => Monad (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b Source #

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

return :: a -> Alt f a Source #

Monad f => Monad (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source #

(>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b Source #

return :: a -> Rec1 f a Source #

MonadPlus f => MonadPlus (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

mzero :: Ap f a Source #

mplus :: Ap f a -> Ap f a -> Ap f a Source #

MonadPlus f => MonadPlus (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

mzero :: Alt f a Source #

mplus :: Alt f a -> Alt f a -> Alt f a Source #

MonadPlus f => MonadPlus (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

mzero :: Rec1 f a Source #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

MonadFail f => MonadFail (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

fail :: String -> Ap f a Source #

MonadFix f => MonadFix (Ap f) Source #

Since: base-4.12.0.0

Instance details

Methods

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

MonadFix f => MonadFix (Alt f) Source #

Since: base-4.8.0.0

Instance details

Methods

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

MonadFix f => MonadFix (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Methods

mfix :: (a -> Rec1 f a) -> Rec1 f a Source #

MonadZip f => MonadZip (Alt f) Source #

Since: ghc-internal-4.8.0.0

Instance details

Methods

mzip :: Alt f a -> Alt f b -> Alt f (a, b) Source #

mzipWith :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source #

munzip :: Alt f (a, b) -> (Alt f a, Alt f b) Source #

MonadZip f => MonadZip (Rec1 f) Source #

Since: ghc-internal-4.9.0.0

Instance details

Methods

mzip :: Rec1 f a -> Rec1 f b -> Rec1 f (a, b) Source #

mzipWith :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #

munzip :: Rec1 f (a, b) -> (Rec1 f a, Rec1 f b) Source #

Data t => Data (Proxy t) Source #

Since: base-4.7.0.0

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) -> Proxy t -> c (Proxy t) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Proxy t) Source #

toConstr :: Proxy t -> Constr Source #

dataTypeOf :: Proxy t -> DataType Source #

dataCast1 :: Typeable t0 => (forall d. Data d => c (t0 d)) -> Maybe (c (Proxy t)) Source #

dataCast2 :: Typeable t0 => (forall d e. (Data d, Data e) => c (t0 d e)) -> Maybe (c (Proxy t)) Source #

gmapT :: (forall b. Data b => b -> b) -> Proxy t -> Proxy t Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Proxy t -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Proxy t -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

Data p => Data (U1 p) Source #

Since: base-4.9.0.0

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) -> U1 p -> c (U1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (U1 p) Source #

toConstr :: U1 p -> Constr Source #

dataTypeOf :: U1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (U1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (U1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> U1 p -> U1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> U1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> U1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

Data p => Data (V1 p) Source #

Since: base-4.9.0.0

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) -> V1 p -> c (V1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 p) Source #

toConstr :: V1 p -> Constr Source #

dataTypeOf :: V1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> V1 p -> V1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> V1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

Foldable (Const m :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0 Source #

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 Source #

foldr :: (a -> b -> b) -> b -> Const m a -> b Source #

foldr' :: (a -> b -> b) -> b -> Const m a -> b Source #

foldl :: (b -> a -> b) -> b -> Const m a -> b Source #

foldl' :: (b -> a -> b) -> b -> Const m a -> b Source #

foldr1 :: (a -> a -> a) -> Const m a -> a Source #

foldl1 :: (a -> a -> a) -> Const m a -> a Source #

toList :: Const m a -> [a] Source #

null :: Const m a -> Bool Source #

length :: Const m a -> Int Source #

elem :: Eq a => a -> Const m a -> Bool Source #

maximum :: Ord a => Const m a -> a Source #

minimum :: Ord a => Const m a -> a Source #

sum :: Num a => Const m a -> a Source #

product :: Num a => Const m a -> a Source #

Foldable f => Foldable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Methods

fold :: Monoid m => Ap f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

Foldable f => Foldable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Methods

fold :: Monoid m => Alt f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

Foldable f => Foldable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => Rec1 f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source #

foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source #

toList :: Rec1 f a -> [a] Source #

null :: Rec1 f a -> Bool Source #

length :: Rec1 f a -> Int Source #

elem :: Eq a => a -> Rec1 f a -> Bool Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

sum :: Num a => Rec1 f a -> a Source #

product :: Num a => Rec1 f a -> a Source #

Traversable (Const m :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Methods

traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) Source #

sequenceA :: Applicative f => Const m (f a) -> f (Const m a) Source #

mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) Source #

sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) Source #

Traversable f => Traversable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) Source #

sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source #

mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source #

sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #

Traversable f => Traversable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source #

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source #

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source #

sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #

Traversable f => Traversable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source #

sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source #

mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source #

sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #

(Alternative f, Alternative g) => Alternative (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: (f :*: g) a Source #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

some :: (f :*: g) a -> (f :*: g) [a] Source #

many :: (f :*: g) a -> (f :*: g) [a] Source #

(Applicative f, Applicative g) => Applicative (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> (f :*: g) a Source #

(<*>) :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b Source #

liftA2 :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c Source #

(*>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b Source #

(<*) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a Source #

Monoid c => Applicative (K1 i c :: Type -> Type) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> K1 i c a Source #

(<*>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b Source #

liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 Source #

(*>) :: K1 i c a -> K1 i c b -> K1 i c b Source #

(<*) :: K1 i c a -> K1 i c b -> K1 i c a Source #

(Functor f, Functor g) => Functor (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b Source #

(<$) :: a -> (f :*: g) b -> (f :*: g) a Source #

(Functor f, Functor g) => Functor (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source #

(<$) :: a -> (f :+: g) b -> (f :+: g) a Source #

Functor (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b Source #

(<$) :: a -> K1 i c b -> K1 i c a Source #

(Monad f, Monad g) => Monad (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

(>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b Source #

(>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b Source #

return :: a -> (f :*: g) a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

mzero :: (f :*: g) a Source #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

(Applicative f, Monoid a) => Monoid (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

mempty :: Ap f a Source #

mappend :: Ap f a -> Ap f a -> Ap f a Source #

mconcat :: [Ap f a] -> Ap f a Source #

Alternative f => Monoid (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Methods

mempty :: Alt f a Source #

mappend :: Alt f a -> Alt f a -> Alt f a Source #

mconcat :: [Alt f a] -> Alt f a Source #

(Applicative f, Semigroup a) => Semigroup (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

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

sconcat :: NonEmpty (Ap f a) -> Ap f a Source #

stimes :: Integral b => b -> Ap f a -> Ap f a Source #

Alternative f => Semigroup (Alt f a) Source #

Since: base-4.9.0.0

Instance details

Methods

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

sconcat :: NonEmpty (Alt f a) -> Alt f a Source #

stimes :: Integral b => b -> Alt f a -> Alt f a Source #

(MonadFix f, MonadFix g) => MonadFix (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Methods

mfix :: (a -> (f :*: g) a) -> (f :*: g) a Source #

(MonadZip f, MonadZip g) => MonadZip (f :*: g) Source #

Since: ghc-internal-4.9.0.0

Instance details

Methods

mzip :: (f :*: g) a -> (f :*: g) b -> (f :*: g) (a, b) Source #

mzipWith :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c Source #

munzip :: (f :*: g) (a, b) -> ((f :*: g) a, (f :*: g) b) Source #

(Data (f a), Data a, Typeable f) => Data (Ap f a) Source #

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) -> Ap f a -> c (Ap f a) Source #

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

toConstr :: Ap f a -> Constr Source #

dataTypeOf :: Ap f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Ap f a -> Ap f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ap f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

(Data (f a), Data a, Typeable f) => Data (Alt f a) Source #

Since: base-4.8.0.0

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) -> Alt f a -> c (Alt f a) Source #

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

toConstr :: Alt f a -> Constr Source #

dataTypeOf :: Alt f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Alt f a -> Alt f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Alt f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

(Coercible a b, Data a, Data b) => Data (Coercion a b) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Coercion a b -> c (Coercion a b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Coercion a b) Source #

toConstr :: Coercion a b -> Constr Source #

dataTypeOf :: Coercion a b -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> Coercion a b -> Coercion a b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Coercion a b -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

(a ~ b, Data a) => Data (a :~: b) Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) Source #

toConstr :: (a :~: b) -> Constr Source #

dataTypeOf :: (a :~: b) -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

(Data (f p), Typeable f, Data p) => Data (Rec1 f p) Source #

Since: base-4.9.0.0

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) -> Rec1 f p -> c (Rec1 f p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Rec1 f p) Source #

toConstr :: Rec1 f p -> Constr Source #

dataTypeOf :: Rec1 f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Rec1 f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Rec1 f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> Rec1 f p -> Rec1 f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Rec1 f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Rec1 f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

(Foldable f, Foldable g) => Foldable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => (f :*: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

toList :: (f :*: g) a -> [a] Source #

null :: (f :*: g) a -> Bool Source #

length :: (f :*: g) a -> Int Source #

elem :: Eq a => a -> (f :*: g) a -> Bool Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

sum :: Num a => (f :*: g) a -> a Source #

product :: Num a => (f :*: g) a -> a Source #

(Foldable f, Foldable g) => Foldable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => (f :+: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

toList :: (f :+: g) a -> [a] Source #

null :: (f :+: g) a -> Bool Source #

length :: (f :+: g) a -> Int Source #

elem :: Eq a => a -> (f :+: g) a -> Bool Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

sum :: Num a => (f :+: g) a -> a Source #

product :: Num a => (f :+: g) a -> a Source #

Foldable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => K1 i c m -> m Source #

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldr1 :: (a -> a -> a) -> K1 i c a -> a Source #

foldl1 :: (a -> a -> a) -> K1 i c a -> a Source #

toList :: K1 i c a -> [a] Source #

null :: K1 i c a -> Bool Source #

length :: K1 i c a -> Int Source #

elem :: Eq a => a -> K1 i c a -> Bool Source #

maximum :: Ord a => K1 i c a -> a Source #

minimum :: Ord a => K1 i c a -> a Source #

sum :: Num a => K1 i c a -> a Source #

product :: Num a => K1 i c a -> a Source #

(Traversable f, Traversable g) => Traversable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source #

sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source #

sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source #

(Traversable f, Traversable g) => Traversable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source #

sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source #

sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #

Traversable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source #

sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source #

mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source #

sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #

(Applicative f, Bounded a) => Bounded (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

minBound :: Ap f a Source #

maxBound :: Ap f a Source #

(Applicative f, Num a) => Num (Ap f a) Source #

Note that even if the underlying Num and Applicative instances are lawful, for most Applicatives, this instance will not be lawful. If you use this instance with the list Applicative, the following customary laws will not hold:

Commutativity:

>>> Ap [10,20] + Ap [1,2]
Ap {getAp = [11,12,21,22]}
>>> Ap [1,2] + Ap [10,20]
Ap {getAp = [11,21,12,22]}

Additive inverse:

>>> Ap [] + negate (Ap [])
Ap {getAp = []}
>>> fromInteger 0 :: Ap [] Int
Ap {getAp = [0]}

Distributivity:

>>> Ap [1,2] * (3 + 4)
Ap {getAp = [7,14]}
>>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

Methods

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

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

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

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

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

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

fromInteger :: Integer -> Ap f a Source #

(Alternative f, Applicative g) => Alternative (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: (f :.: g) a Source #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source #

some :: (f :.: g) a -> (f :.: g) [a] Source #

many :: (f :.: g) a -> (f :.: g) [a] Source #

Alternative f => Alternative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

empty :: M1 i c f a Source #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

some :: M1 i c f a -> M1 i c f [a] Source #

many :: M1 i c f a -> M1 i c f [a] Source #

(Applicative f, Applicative g) => Applicative (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> (f :.: g) a Source #

(<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c Source #

(*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b Source #

(<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a Source #

Applicative f => Applicative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

pure :: a -> M1 i c f a Source #

(<*>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b Source #

liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 Source #

(*>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source #

(<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a Source #

(Functor f, Functor g) => Functor (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

(<$) :: a -> (f :.: g) b -> (f :.: g) a Source #

Functor f => Functor (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

fmap :: (a -> b) -> M1 i c f a -> M1 i c f b Source #

(<$) :: a -> M1 i c f b -> M1 i c f a Source #

Monad f => Monad (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

(>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b Source #

(>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b Source #

return :: a -> M1 i c f a Source #

MonadPlus f => MonadPlus (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Generics

Methods

mzero :: M1 i c f a Source #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

MonadFix f => MonadFix (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Methods

mfix :: (a -> M1 i c f a) -> M1 i c f a Source #

MonadZip f => MonadZip (M1 i c f) Source #

Since: ghc-internal-4.9.0.0

Instance details

Methods

mzip :: M1 i c f a -> M1 i c f b -> M1 i c f (a, b) Source #

mzipWith :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 Source #

munzip :: M1 i c f (a, b) -> (M1 i c f a, M1 i c f b) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :*: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :*: g) p -> c ((f :*: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :*: g) p) Source #

toConstr :: (f :*: g) p -> Constr Source #

dataTypeOf :: (f :*: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :*: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :*: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :*: g) p -> (f :*: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :*: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :*: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :+: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :+: g) p -> c ((f :+: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :+: g) p) Source #

toConstr :: (f :+: g) p -> Constr Source #

dataTypeOf :: (f :+: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :+: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :+: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :+: g) p -> (f :+: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :+: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :+: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

(Typeable i, Data p, Data c) => Data (K1 i c p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> K1 i c p -> c0 (K1 i c p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (K1 i c p) Source #

toConstr :: K1 i c p -> Constr Source #

dataTypeOf :: K1 i c p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (K1 i c p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (K1 i c p)) Source #

gmapT :: (forall b. Data b => b -> b) -> K1 i c p -> K1 i c p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> K1 i c p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> K1 i c p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

(Foldable f, Foldable g) => Foldable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => (f :.: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

toList :: (f :.: g) a -> [a] Source #

null :: (f :.: g) a -> Bool Source #

length :: (f :.: g) a -> Int Source #

elem :: Eq a => a -> (f :.: g) a -> Bool Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

sum :: Num a => (f :.: g) a -> a Source #

product :: Num a => (f :.: g) a -> a Source #

Foldable f => Foldable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Methods

fold :: Monoid m => M1 i c f m -> m Source #

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldr :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

foldl :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source #

foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source #

toList :: M1 i c f a -> [a] Source #

null :: M1 i c f a -> Bool Source #

length :: M1 i c f a -> Int Source #

elem :: Eq a => a -> M1 i c f a -> Bool Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

sum :: Num a => M1 i c f a -> a Source #

product :: Num a => M1 i c f a -> a Source #

(Traversable f, Traversable g) => Traversable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source #

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source #

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #

Traversable f => Traversable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Methods

traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source #

sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source #

mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source #

sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #

(Typeable f, Typeable g, Data p, Data (f (g p))) => Data ((f :.: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :.: g) p -> c ((f :.: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :.: g) p) Source #

toConstr :: (f :.: g) p -> Constr Source #

dataTypeOf :: (f :.: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :.: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :.: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :.: g) p -> (f :.: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :.: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :.: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

(Data p, Data (f p), Typeable c, Typeable i, Typeable f) => Data (M1 i c f p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Internal.Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> M1 i c f p -> c0 (M1 i c f p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (M1 i c f p) Source #

toConstr :: M1 i c f p -> Constr Source #

dataTypeOf :: M1 i c f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (M1 i c f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (M1 i c f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> M1 i c f p -> M1 i c f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> M1 i c f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> M1 i c f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

type Rep1 NonEmpty Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Internal.Generics

type Rep1 Identity Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Internal.Data.Functor.Identity

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

type Rep1 First Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

type Rep1 First = D1 ('MetaData "First" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

type Rep1 Last Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Internal.Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "GHC.Internal.Data.Monoid" "ghc-internal" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

type Rep1 Down Source #

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 Rep1 Dual Source #

Since: base-4.7.0.0

Instance details

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

type Rep1 Product Source #

Since: base-4.7.0.0

Instance details

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

type Rep1 Sum Source #

Since: base-4.7.0.0

Instance details