Safe Haskell	None
Language	Haskell2010

Prologue.Data.Num

Synopsis

isIntegral :: RealFrac a => a -> Bool
isIntegralPrec :: RealFrac a => Int -> a -> Bool
fromIntegral :: (Integral a, Num b) => a -> b
realToFrac :: (Real a, Fractional b) => a -> b
class Fractional a => Floating a where
- pi :: a
- exp :: a -> a
- log :: a -> a
- sqrt :: a -> a
- (**) :: a -> a -> a
- logBase :: a -> a -> a
- sin :: a -> a
- cos :: a -> a
- tan :: a -> a
- asin :: a -> a
- acos :: a -> a
- atan :: a -> a
- sinh :: a -> a
- cosh :: a -> a
- tanh :: a -> a
- asinh :: a -> a
- acosh :: a -> a
- atanh :: a -> a
class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
class (Real a, Enum a) => Integral a where
- quot :: a -> a -> a
- rem :: a -> a -> a
- div :: a -> a -> a
- mod :: a -> a -> a
- quotRem :: a -> a -> (a, a)
- divMod :: a -> a -> (a, a)
- toInteger :: a -> Integer
class Num a where
- (+) :: a -> a -> a
- (-) :: a -> a -> a
- (*) :: a -> a -> a
- negate :: a -> a
- abs :: a -> a
- signum :: a -> a
- fromInteger :: Integer -> a
class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int, Int)
- decodeFloat :: a -> (Integer, Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN :: a -> Bool
- isInfinite :: a -> Bool
- isDenormalized :: a -> Bool
- isNegativeZero :: a -> Bool
- isIEEE :: a -> Bool
- atan2 :: a -> a -> a
class (Real a, Fractional a) => RealFrac a where
- properFraction :: Integral b => a -> (b, a)
- truncate :: Integral b => a -> b
- round :: Integral b => a -> b
- ceiling :: Integral b => a -> b
- floor :: Integral b => a -> b
data Double
data Float
data Int
data Int8
data Int16
data Int32
data Int64
data Integer
type Rational = Ratio Integer
data Word
data Word8
data Word16
data Word32
data Word64
lcm :: Integral a => a -> a -> a
gcd :: Integral a => a -> a -> a
(^^) :: (Fractional a, Integral b) => a -> b -> a
(^) :: (Num a, Integral b) => a -> b -> a
odd :: Integral a => a -> Bool
even :: Integral a => a -> Bool
subtract :: Num a => a -> a -> a

Documentation

isIntegral :: RealFrac a => a -> Bool Source #

isIntegralPrec :: RealFrac a => Int -> a -> Bool Source #

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

general coercion from integral types

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

general coercion to fractional types

class Fractional a => Floating a where #

Trigonometric and hyperbolic functions and related functions.

The Haskell Report defines no laws for Floating. However, '(+)', '(*)' and exp are customarily expected to define an exponential field and have the following properties:

exp (a + b) = @exp a * exp b
exp (fromInteger 0) = fromInteger 1

Minimal complete definition

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

Methods

pi :: a #

exp :: a -> a #

log :: a -> a #

sqrt :: a -> a #

(**) :: a -> a -> a infixr 8 #

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

Instances

Floating Double	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Double # exp :: Double -> Double # log :: Double -> Double # sqrt :: Double -> Double # (**) :: Double -> Double -> Double # logBase :: Double -> Double -> Double # sin :: Double -> Double # cos :: Double -> Double # tan :: Double -> Double # asin :: Double -> Double # acos :: Double -> Double # atan :: Double -> Double # sinh :: Double -> Double # cosh :: Double -> Double # tanh :: Double -> Double # asinh :: Double -> Double # acosh :: Double -> Double # atanh :: Double -> Double # log1p :: Double -> Double # expm1 :: Double -> Double # log1pexp :: Double -> Double # log1mexp :: Double -> Double #
Floating Float	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Float # exp :: Float -> Float # log :: Float -> Float # sqrt :: Float -> Float # (**) :: Float -> Float -> Float # logBase :: Float -> Float -> Float # sin :: Float -> Float # cos :: Float -> Float # tan :: Float -> Float # asin :: Float -> Float # acos :: Float -> Float # atan :: Float -> Float # sinh :: Float -> Float # cosh :: Float -> Float # tanh :: Float -> Float # asinh :: Float -> Float # acosh :: Float -> Float # atanh :: Float -> Float # log1p :: Float -> Float # expm1 :: Float -> Float # log1pexp :: Float -> Float # log1mexp :: Float -> Float #
RealFloat a => Floating (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods pi :: Complex a # exp :: Complex a -> Complex a # log :: Complex a -> Complex a # sqrt :: Complex a -> Complex a # (**) :: Complex a -> Complex a -> Complex a # logBase :: Complex a -> Complex a -> Complex a # sin :: Complex a -> Complex a # cos :: Complex a -> Complex a # tan :: Complex a -> Complex a # asin :: Complex a -> Complex a # acos :: Complex a -> Complex a # atan :: Complex a -> Complex a # sinh :: Complex a -> Complex a # cosh :: Complex a -> Complex a # tanh :: Complex a -> Complex a # asinh :: Complex a -> Complex a # acosh :: Complex a -> Complex a # atanh :: Complex a -> Complex a # log1p :: Complex a -> Complex a # expm1 :: Complex a -> Complex a # log1pexp :: Complex a -> Complex a # log1mexp :: Complex a -> Complex a #
Floating a => Floating (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods pi :: Identity a # exp :: Identity a -> Identity a # log :: Identity a -> Identity a # sqrt :: Identity a -> Identity a # (**) :: Identity a -> Identity a -> Identity a # logBase :: Identity a -> Identity a -> Identity a # sin :: Identity a -> Identity a # cos :: Identity a -> Identity a # tan :: Identity a -> Identity a # asin :: Identity a -> Identity a # acos :: Identity a -> Identity a # atan :: Identity a -> Identity a # sinh :: Identity a -> Identity a # cosh :: Identity a -> Identity a # tanh :: Identity a -> Identity a # asinh :: Identity a -> Identity a # acosh :: Identity a -> Identity a # atanh :: Identity a -> Identity a # log1p :: Identity a -> Identity a # expm1 :: Identity a -> Identity a # log1pexp :: Identity a -> Identity a # log1mexp :: Identity a -> Identity a #
Floating a => Floating (Op a b)
Instance details Defined in Data.Functor.Contravariant Methods pi :: Op a b # exp :: Op a b -> Op a b # log :: Op a b -> Op a b # sqrt :: Op a b -> Op a b # (**) :: Op a b -> Op a b -> Op a b # logBase :: Op a b -> Op a b -> Op a b # sin :: Op a b -> Op a b # cos :: Op a b -> Op a b # tan :: Op a b -> Op a b # asin :: Op a b -> Op a b # acos :: Op a b -> Op a b # atan :: Op a b -> Op a b # sinh :: Op a b -> Op a b # cosh :: Op a b -> Op a b # tanh :: Op a b -> Op a b # asinh :: Op a b -> Op a b # acosh :: Op a b -> Op a b # atanh :: Op a b -> Op a b # log1p :: Op a b -> Op a b # expm1 :: Op a b -> Op a b # log1pexp :: Op a b -> Op a b # log1mexp :: Op a b -> Op a b #
Floating a => Floating (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods pi :: Const a b # exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # log1pexp :: Const a b -> Const a b # log1mexp :: Const a b -> Const a b #
Floating a => Floating (Tagged s a)
Instance details Defined in Data.Tagged Methods pi :: Tagged s a # exp :: Tagged s a -> Tagged s a # log :: Tagged s a -> Tagged s a # sqrt :: Tagged s a -> Tagged s a # (**) :: Tagged s a -> Tagged s a -> Tagged s a # logBase :: Tagged s a -> Tagged s a -> Tagged s a # sin :: Tagged s a -> Tagged s a # cos :: Tagged s a -> Tagged s a # tan :: Tagged s a -> Tagged s a # asin :: Tagged s a -> Tagged s a # acos :: Tagged s a -> Tagged s a # atan :: Tagged s a -> Tagged s a # sinh :: Tagged s a -> Tagged s a # cosh :: Tagged s a -> Tagged s a # tanh :: Tagged s a -> Tagged s a # asinh :: Tagged s a -> Tagged s a # acosh :: Tagged s a -> Tagged s a # atanh :: Tagged s a -> Tagged s a # log1p :: Tagged s a -> Tagged s a # expm1 :: Tagged s a -> Tagged s a # log1pexp :: Tagged s a -> Tagged s a # log1mexp :: Tagged s a -> Tagged s a #

class Num a => Fractional a where #

Fractional numbers, supporting real division.

The Haskell Report defines no laws for Fractional. However, '(+)' and '(*)' are customarily expected to define a division ring and have the following properties:

recip gives the multiplicative inverse: x * recip x = recip x * x = fromInteger 1

Note that it isn't customarily expected that a type instance of Fractional implement a field. However, all instances in base do.

Minimal complete definition

fromRational, (recip | (/))

Methods

(/) :: a -> a -> a infixl 7 #

fractional division

recip :: a -> a #

reciprocal fraction

fromRational :: Rational -> a #

Conversion from a Rational (that is Ratio Integer). A floating literal stands for an application of fromRational to a value of type Rational, so such literals have type (Fractional a) => a.

Instances

Integral a => Fractional (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (/) :: Ratio a -> Ratio a -> Ratio a # recip :: Ratio a -> Ratio a # fromRational :: Rational -> Ratio a #
RealFloat a => Fractional (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (/) :: Complex a -> Complex a -> Complex a # recip :: Complex a -> Complex a # fromRational :: Rational -> Complex a #
Fractional a => Fractional (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (/) :: Identity a -> Identity a -> Identity a # recip :: Identity a -> Identity a # fromRational :: Rational -> Identity a #
Fractional a => Fractional (Op a b)
Instance details Defined in Data.Functor.Contravariant Methods (/) :: Op a b -> Op a b -> Op a b # recip :: Op a b -> Op a b # fromRational :: Rational -> Op a b #
Fractional a => Fractional (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (/) :: Const a b -> Const a b -> Const a b # recip :: Const a b -> Const a b # fromRational :: Rational -> Const a b #
Fractional a => Fractional (Tagged s a)
Instance details Defined in Data.Tagged Methods (/) :: Tagged s a -> Tagged s a -> Tagged s a # recip :: Tagged s a -> Tagged s a # fromRational :: Rational -> Tagged s a #

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

Integral numbers, supporting integer division.

The Haskell Report defines no laws for Integral. However, Integral instances are customarily expected to define a Euclidean domain and have the following properties for the 'div'/'mod' and 'quot'/'rem' pairs, given suitable Euclidean functions f and g:

x = y * quot x y + rem x y with rem x y = fromInteger 0 or g (rem x y) < g y
x = y * div x y + mod x y with mod x y = fromInteger 0 or f (mod x y) < f y

An example of a suitable Euclidean function, for Integer's instance, is abs.

Minimal complete definition

quotRem, toInteger

Methods

quot :: a -> a -> a infixl 7 #

integer division truncated toward zero

rem :: a -> a -> a infixl 7 #

integer remainder, satisfying

(x `quot` y)*y + (x `rem` y) == x

div :: a -> a -> a infixl 7 #

integer division truncated toward negative infinity

mod :: a -> a -> a infixl 7 #

integer modulus, satisfying

(x `div` y)*y + (x `mod` y) == x

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

simultaneous quot and rem

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

simultaneous div and mod

toInteger :: a -> Integer #

conversion to Integer

Instances

Integral Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Integral Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int8 -> Int8 -> Int8 # rem :: Int8 -> Int8 -> Int8 # div :: Int8 -> Int8 -> Int8 # mod :: Int8 -> Int8 -> Int8 # quotRem :: Int8 -> Int8 -> (Int8, Int8) # divMod :: Int8 -> Int8 -> (Int8, Int8) # toInteger :: Int8 -> Integer #
Integral Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int16 -> Int16 -> Int16 # rem :: Int16 -> Int16 -> Int16 # div :: Int16 -> Int16 -> Int16 # mod :: Int16 -> Int16 -> Int16 # quotRem :: Int16 -> Int16 -> (Int16, Int16) # divMod :: Int16 -> Int16 -> (Int16, Int16) # toInteger :: Int16 -> Integer #
Integral Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Integral Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Integral Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Integral Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods quot :: Natural -> Natural -> Natural # rem :: Natural -> Natural -> Natural # div :: Natural -> Natural -> Natural # mod :: Natural -> Natural -> Natural # quotRem :: Natural -> Natural -> (Natural, Natural) # divMod :: Natural -> Natural -> (Natural, Natural) # toInteger :: Natural -> Integer #
Integral Word	Since: base-2.1
Instance details Defined in GHC.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Integral Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Integral Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word16 -> Word16 -> Word16 # rem :: Word16 -> Word16 -> Word16 # div :: Word16 -> Word16 -> Word16 # mod :: Word16 -> Word16 -> Word16 # quotRem :: Word16 -> Word16 -> (Word16, Word16) # divMod :: Word16 -> Word16 -> (Word16, Word16) # toInteger :: Word16 -> Integer #
Integral Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Integral Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Integral a => Integral (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods quot :: Identity a -> Identity a -> Identity a # rem :: Identity a -> Identity a -> Identity a # div :: Identity a -> Identity a -> Identity a # mod :: Identity a -> Identity a -> Identity a # quotRem :: Identity a -> Identity a -> (Identity a, Identity a) # divMod :: Identity a -> Identity a -> (Identity a, Identity a) # toInteger :: Identity a -> Integer #
Integral a => Integral (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # toInteger :: Const a b -> Integer #
Integral a => Integral (Tagged s a)
Instance details Defined in Data.Tagged Methods quot :: Tagged s a -> Tagged s a -> Tagged s a # rem :: Tagged s a -> Tagged s a -> Tagged s a # div :: Tagged s a -> Tagged s a -> Tagged s a # mod :: Tagged s a -> Tagged s a -> Tagged s a # quotRem :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a) # divMod :: Tagged s a -> Tagged s a -> (Tagged s a, Tagged s a) # toInteger :: Tagged s a -> Integer #

class Num a where #

Basic numeric class.

The Haskell Report defines no laws for Num. However, '(+)' and '(*)' are customarily expected to define a ring and have the following properties:

Associativity of (+): (x + y) + z = x + (y + z)
Commutativity of (+): x + y = y + x
fromInteger 0 is the additive identity: x + fromInteger 0 = x
negate gives the additive inverse: x + negate x = fromInteger 0
Associativity of (*): (x * y) * z = x * (y * z)
fromInteger 1 is the multiplicative identity: x * fromInteger 1 = x and fromInteger 1 * x = x
Distributivity of (*) with respect to (+): a * (b + c) = (a * b) + (a * c) and (b + c) * a = (b * a) + (c * a)

Note that it isn't customarily expected that a type instance of both Num and Ord implement an ordered ring. Indeed, in base only Integer and Rational do.

Minimal complete definition

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

Methods

(+) :: a -> a -> a infixl 6 #

(-) :: a -> a -> a infixl 6 #

(*) :: a -> a -> a infixl 7 #

negate :: a -> a #

Unary negation.

abs :: a -> a #

Absolute value.

signum :: a -> a #

Sign of a number. The functions abs and signum should satisfy the law:

abs x * signum x == x

For real numbers, the signum is either -1 (negative), 0 (zero) or 1 (positive).

fromInteger :: Integer -> a #

Conversion from an Integer. An integer literal represents the application of the function fromInteger to the appropriate value of type Integer, so such literals have type (Num a) => a.

Instances

Num Int	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Num Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int8 -> Int8 -> Int8 # (-) :: Int8 -> Int8 -> Int8 # (*) :: Int8 -> Int8 -> Int8 # negate :: Int8 -> Int8 # abs :: Int8 -> Int8 # signum :: Int8 -> Int8 # fromInteger :: Integer -> Int8 #
Num Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int16 -> Int16 -> Int16 # (-) :: Int16 -> Int16 -> Int16 # (*) :: Int16 -> Int16 -> Int16 # negate :: Int16 -> Int16 # abs :: Int16 -> Int16 # signum :: Int16 -> Int16 # fromInteger :: Integer -> Int16 #
Num Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Num Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Num Integer	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Num Natural	Note that `Natural`'s `Num` instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though. Since: base-4.8.0.0
Instance details Defined in GHC.Num Methods (+) :: Natural -> Natural -> Natural # (-) :: Natural -> Natural -> Natural # (*) :: Natural -> Natural -> Natural # negate :: Natural -> Natural # abs :: Natural -> Natural # signum :: Natural -> Natural # fromInteger :: Integer -> Natural #
Num Word	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
Num Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Num Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word16 -> Word16 -> Word16 # (-) :: Word16 -> Word16 -> Word16 # (*) :: Word16 -> Word16 -> Word16 # negate :: Word16 -> Word16 # abs :: Word16 -> Word16 # signum :: Word16 -> Word16 # fromInteger :: Integer -> Word16 #
Num Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Num Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Integral a => Num (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods (+) :: Ratio a -> Ratio a -> Ratio a # (-) :: Ratio a -> Ratio a -> Ratio a # (*) :: Ratio a -> Ratio a -> Ratio a # negate :: Ratio a -> Ratio a # abs :: Ratio a -> Ratio a # signum :: Ratio a -> Ratio a # fromInteger :: Integer -> Ratio a #
RealFloat a => Num (Complex a)	Since: base-2.1
Instance details Defined in Data.Complex Methods (+) :: Complex a -> Complex a -> Complex a # (-) :: Complex a -> Complex a -> Complex a # (*) :: Complex a -> Complex a -> Complex a # negate :: Complex a -> Complex a # abs :: Complex a -> Complex a # signum :: Complex a -> Complex a # fromInteger :: Integer -> Complex a #
Num a => Num (Min a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Min a -> Min a -> Min a # (-) :: Min a -> Min a -> Min a # (*) :: Min a -> Min a -> Min a # negate :: Min a -> Min a # abs :: Min a -> Min a # signum :: Min a -> Min a # fromInteger :: Integer -> Min a #
Num a => Num (Max a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods (+) :: Max a -> Max a -> Max a # (-) :: Max a -> Max a -> Max a # (*) :: Max a -> Max a -> Max a # negate :: Max a -> Max a # abs :: Max a -> Max a # signum :: Max a -> Max a # fromInteger :: Integer -> Max a #
Num a => Num (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods (+) :: Identity a -> Identity a -> Identity a # (-) :: Identity a -> Identity a -> Identity a # (*) :: Identity a -> Identity a -> Identity a # negate :: Identity a -> Identity a # abs :: Identity a -> Identity a # signum :: Identity a -> Identity a # fromInteger :: Integer -> Identity a #
Num a => Num (Sum a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Sum a -> Sum a -> Sum a # (-) :: Sum a -> Sum a -> Sum a # (*) :: Sum a -> Sum a -> Sum a # negate :: Sum a -> Sum a # abs :: Sum a -> Sum a # signum :: Sum a -> Sum a # fromInteger :: Integer -> Sum a #
Num a => Num (Product a)	Since: base-4.7.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Product a -> Product a -> Product a # (-) :: Product a -> Product a -> Product a # (*) :: Product a -> Product a -> Product a # negate :: Product a -> Product a # abs :: Product a -> Product a # signum :: Product a -> Product a # fromInteger :: Integer -> Product a #
Num a => Num (Down a)	Since: base-4.11.0.0
Instance details Defined in Data.Ord Methods (+) :: Down a -> Down a -> Down a # (-) :: Down a -> Down a -> Down a # (*) :: Down a -> Down a -> Down a # negate :: Down a -> Down a # abs :: Down a -> Down a # signum :: Down a -> Down a # fromInteger :: Integer -> Down a #
Num a => Num (Op a b)
Instance details Defined in Data.Functor.Contravariant Methods (+) :: Op a b -> Op a b -> Op a b # (-) :: Op a b -> Op a b -> Op a b # (*) :: Op a b -> Op a b -> Op a b # negate :: Op a b -> Op a b # abs :: Op a b -> Op a b # signum :: Op a b -> Op a b # fromInteger :: Integer -> Op a b #
Num a => Num (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods (+) :: Const a b -> Const a b -> Const a b # (-) :: Const a b -> Const a b -> Const a b # (*) :: Const a b -> Const a b -> Const a b # negate :: Const a b -> Const a b # abs :: Const a b -> Const a b # signum :: Const a b -> Const a b # fromInteger :: Integer -> Const a b #
(Applicative f, Num a) => Num (Ap f a)	Since: base-4.12.0.0
Instance details Defined in Data.Monoid Methods (+) :: Ap f a -> Ap f a -> Ap f a # (-) :: Ap f a -> Ap f a -> Ap f a # (*) :: Ap f a -> Ap f a -> Ap f a # negate :: Ap f a -> Ap f a # abs :: Ap f a -> Ap f a # signum :: Ap f a -> Ap f a # fromInteger :: Integer -> Ap f a #
Num (f a) => Num (Alt f a)	Since: base-4.8.0.0
Instance details Defined in Data.Semigroup.Internal Methods (+) :: Alt f a -> Alt f a -> Alt f a # (-) :: Alt f a -> Alt f a -> Alt f a # (*) :: Alt f a -> Alt f a -> Alt f a # negate :: Alt f a -> Alt f a # abs :: Alt f a -> Alt f a # signum :: Alt f a -> Alt f a # fromInteger :: Integer -> Alt f a #
Num a => Num (Tagged s a)
Instance details Defined in Data.Tagged Methods (+) :: Tagged s a -> Tagged s a -> Tagged s a # (-) :: Tagged s a -> Tagged s a -> Tagged s a # (*) :: Tagged s a -> Tagged s a -> Tagged s a # negate :: Tagged s a -> Tagged s a # abs :: Tagged s a -> Tagged s a # signum :: Tagged s a -> Tagged s a # fromInteger :: Integer -> Tagged s a #

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

Methods

toRational :: a -> Rational #

the rational equivalent of its real argument with full precision

Instances

Real Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Int -> Rational #
Real Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int8 -> Rational #
Real Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int16 -> Rational #
Real Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int32 -> Rational #
Real Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int64 -> Rational #
Real Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Integer -> Rational #
Real Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods toRational :: Natural -> Rational #
Real Word	Since: base-2.1
Instance details Defined in GHC.Real Methods toRational :: Word -> Rational #
Real Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word8 -> Rational #
Real Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word16 -> Rational #
Real Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word32 -> Rational #
Real Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word64 -> Rational #
Integral a => Real (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Ratio a -> Rational #
Real a => Real (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods toRational :: Identity a -> Rational #
Real a => Real (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational #
Real a => Real (Tagged s a)
Instance details Defined in Data.Tagged Methods toRational :: Tagged s a -> Rational #

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

Efficient, machine-independent access to the components of a floating-point number.

Minimal complete definition

floatRadix, floatDigits, floatRange, decodeFloat, encodeFloat, isNaN, isInfinite, isDenormalized, isNegativeZero, isIEEE

Methods

floatRadix :: a -> Integer #

a constant function, returning the radix of the representation (often 2)

floatDigits :: a -> Int #

a constant function, returning the number of digits of floatRadix in the significand

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

a constant function, returning the lowest and highest values the exponent may assume

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

The function decodeFloat applied to a real floating-point number returns the significand expressed as an Integer and an appropriately scaled exponent (an Int). If decodeFloat x yields (m,n), then x is equal in value to m*b^^n, where b is the floating-point radix, and furthermore, either m and n are both zero or else b^(d-1) <= abs m < b^d, where d is the value of floatDigits x. In particular, decodeFloat 0 = (0,0). If the type contains a negative zero, also decodeFloat (-0.0) = (0,0). The result of decodeFloat x is unspecified if either of isNaN x or isInfinite x is True.

encodeFloat :: Integer -> Int -> a #

encodeFloat performs the inverse of decodeFloat in the sense that for finite x with the exception of -0.0, uncurry encodeFloat (decodeFloat x) = x. encodeFloat m n is one of the two closest representable floating-point numbers to m*b^^n (or ±Infinity if overflow occurs); usually the closer, but if m contains too many bits, the result may be rounded in the wrong direction.

exponent :: a -> Int #

exponent corresponds to the second component of decodeFloat. exponent 0 = 0 and for finite nonzero x, exponent x = snd (decodeFloat x) + floatDigits x. If x is a finite floating-point number, it is equal in value to significand x * b ^^ exponent x, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

significand :: a -> a #

The first component of decodeFloat, scaled to lie in the open interval (-1,1), either 0.0 or of absolute value >= 1/b, where b is the floating-point radix. The behaviour is unspecified on infinite or NaN values.

scaleFloat :: Int -> a -> a #

multiplies a floating-point number by an integer power of the radix

isNaN :: a -> Bool #

True if the argument is an IEEE "not-a-number" (NaN) value

isInfinite :: a -> Bool #

True if the argument is an IEEE infinity or negative infinity

isDenormalized :: a -> Bool #

True if the argument is too small to be represented in normalized format

isNegativeZero :: a -> Bool #

True if the argument is an IEEE negative zero

isIEEE :: a -> Bool #

True if the argument is an IEEE floating point number

atan2 :: a -> a -> a #

a version of arctangent taking two real floating-point arguments. For real floating x and y, atan2 y x computes the angle (from the positive x-axis) of the vector from the origin to the point (x,y). atan2 y x returns a value in the range [-pi, pi]. It follows the Common Lisp semantics for the origin when signed zeroes are supported. atan2 y 1, with y in a type that is RealFloat, should return the same value as atan y. A default definition of atan2 is provided, but implementors can provide a more accurate implementation.

Instances

RealFloat Double	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
RealFloat Float	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
RealFloat a => RealFloat (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods floatRadix :: Identity a -> Integer # floatDigits :: Identity a -> Int # floatRange :: Identity a -> (Int, Int) # decodeFloat :: Identity a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Identity a # exponent :: Identity a -> Int # significand :: Identity a -> Identity a # scaleFloat :: Int -> Identity a -> Identity a # isNaN :: Identity a -> Bool # isInfinite :: Identity a -> Bool # isDenormalized :: Identity a -> Bool # isNegativeZero :: Identity a -> Bool # isIEEE :: Identity a -> Bool # atan2 :: Identity a -> Identity a -> Identity a #
RealFloat a => RealFloat (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isNaN :: Const a b -> Bool # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # isIEEE :: Const a b -> Bool # atan2 :: Const a b -> Const a b -> Const a b #
RealFloat a => RealFloat (Tagged s a)
Instance details Defined in Data.Tagged Methods floatRadix :: Tagged s a -> Integer # floatDigits :: Tagged s a -> Int # floatRange :: Tagged s a -> (Int, Int) # decodeFloat :: Tagged s a -> (Integer, Int) # encodeFloat :: Integer -> Int -> Tagged s a # exponent :: Tagged s a -> Int # significand :: Tagged s a -> Tagged s a # scaleFloat :: Int -> Tagged s a -> Tagged s a # isNaN :: Tagged s a -> Bool # isInfinite :: Tagged s a -> Bool # isDenormalized :: Tagged s a -> Bool # isNegativeZero :: Tagged s a -> Bool # isIEEE :: Tagged s a -> Bool # atan2 :: Tagged s a -> Tagged s a -> Tagged s a #

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

Extracting components of fractions.

Minimal complete definition

properFraction

Methods

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

The function properFraction takes a real fractional number x and returns a pair (n,f) such that x = n+f, and:

n is an integral number with the same sign as x; and
f is a fraction with the same type and sign as x, and with absolute value less than 1.

The default definitions of the ceiling, floor, truncate and round functions are in terms of properFraction.

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

truncate x returns the integer nearest x between zero and x

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

round x returns the nearest integer to x; the even integer if x is equidistant between two integers

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

ceiling x returns the least integer not less than x

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

floor x returns the greatest integer not greater than x

Instances

Integral a => RealFrac (Ratio a)	Since: base-2.0.1
Instance details Defined in GHC.Real Methods properFraction :: Integral b => Ratio a -> (b, Ratio a) # truncate :: Integral b => Ratio a -> b # round :: Integral b => Ratio a -> b # ceiling :: Integral b => Ratio a -> b # floor :: Integral b => Ratio a -> b #
RealFrac a => RealFrac (Identity a)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Identity Methods properFraction :: Integral b => Identity a -> (b, Identity a) # truncate :: Integral b => Identity a -> b # round :: Integral b => Identity a -> b # ceiling :: Integral b => Identity a -> b # floor :: Integral b => Identity a -> b #
RealFrac a => RealFrac (Const a b)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Const Methods properFraction :: Integral b0 => Const a b -> (b0, Const a b) # truncate :: Integral b0 => Const a b -> b0 # round :: Integral b0 => Const a b -> b0 # ceiling :: Integral b0 => Const a b -> b0 # floor :: Integral b0 => Const a b -> b0 #
RealFrac a => RealFrac (Tagged s a)
Instance details Defined in Data.Tagged Methods properFraction :: Integral b => Tagged s a -> (b, Tagged s a) # truncate :: Integral b => Tagged s a -> b # round :: Integral b => Tagged s a -> b # ceiling :: Integral b => Tagged s a -> b # floor :: Integral b => Tagged s a -> b #

data Double #

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.

Instances

Eq Double	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.Classes Methods (==) :: Double -> Double -> Bool # (/=) :: Double -> Double -> Bool #
Floating Double	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Double # exp :: Double -> Double # log :: Double -> Double # sqrt :: Double -> Double # (**) :: Double -> Double -> Double # logBase :: Double -> Double -> Double # sin :: Double -> Double # cos :: Double -> Double # tan :: Double -> Double # asin :: Double -> Double # acos :: Double -> Double # atan :: Double -> Double # sinh :: Double -> Double # cosh :: Double -> Double # tanh :: Double -> Double # asinh :: Double -> Double # acosh :: Double -> Double # atanh :: Double -> Double # log1p :: Double -> Double # expm1 :: Double -> Double # log1pexp :: Double -> Double # log1mexp :: Double -> Double #
Data Double	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Double -> c Double # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Double # toConstr :: Double -> Constr # dataTypeOf :: Double -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Double) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Double) # gmapT :: (forall b. Data b => b -> b) -> Double -> Double # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQ :: (forall d. Data d => d -> u) -> Double -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Double -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double #
Ord Double	Note that due to the presence of `NaN`, `Double`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Double)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Double`'s instance: `>>>` `(0/0 :: Double) > 1`False `>>>` `compare (0/0 :: Double) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Double -> Double -> Ordering # (<) :: Double -> Double -> Bool # (<=) :: Double -> Double -> Bool # (>) :: Double -> Double -> Bool # (>=) :: Double -> Double -> Bool # max :: Double -> Double -> Double # min :: Double -> Double -> Double #
Read Double	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Double # readList :: ReadS [Double] # readPrec :: ReadPrec Double # readListPrec :: ReadPrec [Double] #
RealFloat Double	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # exponent :: Double -> Int # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isNaN :: Double -> Bool # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # isIEEE :: Double -> Bool # atan2 :: Double -> Double -> Double #
Lift Double
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Double -> Q Exp #
Hashable Double
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Double -> Int # hash :: Double -> Int #
Storable Double	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Double -> Int # alignment :: Double -> Int # peekElemOff :: Ptr Double -> Int -> IO Double # pokeElemOff :: Ptr Double -> Int -> Double -> IO () # peekByteOff :: Ptr b -> Int -> IO Double # pokeByteOff :: Ptr b -> Int -> Double -> IO () # peek :: Ptr Double -> IO Double # poke :: Ptr Double -> Double -> IO () #
Default Double
Instance details Defined in Data.Default.Class Methods def :: Double #
NFData Double
Instance details Defined in Control.DeepSeq Methods rnf :: Double -> () #
Prim Double
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Double -> Int# # alignment# :: Double -> Int# # indexByteArray# :: ByteArray# -> Int# -> Double # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Double#) # writeByteArray# :: MutableByteArray# s -> Int# -> Double -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Double -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Double # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Double#) # writeOffAddr# :: Addr# -> Int# -> Double -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Double -> State# s -> State# s #
Unbox Double
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Double
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Double -> m (Vector Double) # basicUnsafeThaw :: PrimMonad m => Vector Double -> m (Mutable Vector (PrimState m) Double) # basicLength :: Vector Double -> Int # basicUnsafeSlice :: Int -> Int -> Vector Double -> Vector Double # basicUnsafeIndexM :: Monad m => Vector Double -> Int -> m Double # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Double -> Vector Double -> m () # elemseq :: Vector Double -> Double -> b -> b #
MVector MVector Double
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Double -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Double -> MVector s Double # basicOverlaps :: MVector s Double -> MVector s Double -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Double) # basicInitialize :: PrimMonad m => MVector (PrimState m) Double -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Double -> m (MVector (PrimState m) Double) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Double -> Int -> m Double # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Double -> Int -> Double -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Double -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Double -> Double -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Double -> Int -> m (MVector (PrimState m) Double) #
Generic1 (URec Double :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Double) :: k -> Type # Methods from1 :: URec Double a -> Rep1 (URec Double) a # to1 :: Rep1 (URec Double) a -> URec Double a #
Functor (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Double a -> URec Double b # (<$) :: a -> URec Double b -> URec Double a #
Foldable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # sum :: Num a => URec Double a -> a # product :: Num a => URec Double a -> a #
Traversable (URec Double :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Double a -> f (URec Double b) # sequenceA :: Applicative f => URec Double (f a) -> f (URec Double a) # mapM :: Monad m => (a -> m b) -> URec Double a -> m (URec Double b) # sequence :: Monad m => URec Double (m a) -> m (URec Double a) #
Eq (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Double p -> URec Double p -> Bool # (/=) :: URec Double p -> URec Double p -> Bool #
Ord (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # max :: URec Double p -> URec Double p -> URec Double p # min :: URec Double p -> URec Double p -> URec Double p #
Show (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Double p -> ShowS # show :: URec Double p -> String # showList :: [URec Double p] -> ShowS #
Generic (URec Double p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Double p) :: Type -> Type # Methods from :: URec Double p -> Rep (URec Double p) x # to :: Rep (URec Double p) x -> URec Double p #
data Vector Double
Instance details Defined in Data.Vector.Unboxed.Base data Vector Double = V_Double (Vector Double)
data URec Double (p :: k)	Used for marking occurrences of `Double#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Double (p :: k) = UDouble { uDouble# :: Double# }
type ConversionError Double Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int = BoundError
type ConversionError Double Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int8 = BoundError
type ConversionError Double Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int16 = BoundError
type ConversionError Double Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int32 = BoundError
type ConversionError Double Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int64 = BoundError
type ConversionError Double Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word = BoundError
type ConversionError Double Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word8 = BoundError
type ConversionError Double Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word16 = BoundError
type ConversionError Double Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word32 = BoundError
type ConversionError Double Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word64 = BoundError
data MVector s Double
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Double = MV_Double (MVector s Double)
type Rep1 (URec Double :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Double :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: k -> Type)))
type Rep (URec Double p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Double p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UDouble" PrefixI True) (S1 (MetaSel (Just "uDouble#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UDouble :: Type -> Type)))

data Float #

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.

Instances

Eq Float	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 substitutivity: `>>>` `0 == (-0 :: Float)`True `>>>` `recip 0 == recip (-0 :: Float)`False
Instance details Defined in GHC.Classes Methods (==) :: Float -> Float -> Bool # (/=) :: Float -> Float -> Bool #
Floating Float	Since: base-2.1
Instance details Defined in GHC.Float Methods pi :: Float # exp :: Float -> Float # log :: Float -> Float # sqrt :: Float -> Float # (**) :: Float -> Float -> Float # logBase :: Float -> Float -> Float # sin :: Float -> Float # cos :: Float -> Float # tan :: Float -> Float # asin :: Float -> Float # acos :: Float -> Float # atan :: Float -> Float # sinh :: Float -> Float # cosh :: Float -> Float # tanh :: Float -> Float # asinh :: Float -> Float # acosh :: Float -> Float # atanh :: Float -> Float # log1p :: Float -> Float # expm1 :: Float -> Float # log1pexp :: Float -> Float # log1mexp :: Float -> Float #
Data Float	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Float -> c Float # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Float # toConstr :: Float -> Constr # dataTypeOf :: Float -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Float) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Float) # gmapT :: (forall b. Data b => b -> b) -> Float -> Float # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQ :: (forall d. Data d => d -> u) -> Float -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Float -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float #
Ord Float	Note that due to the presence of `NaN`, `Float`'s `Ord` instance does not satisfy reflexivity. `>>>` `0/0 <= (0/0 :: Float)`False Also note that, due to the same, `Ord`'s operator interactions are not respected by `Float`'s instance: `>>>` `(0/0 :: Float) > 1`False `>>>` `compare (0/0 :: Float) 1`GT
Instance details Defined in GHC.Classes Methods compare :: Float -> Float -> Ordering # (<) :: Float -> Float -> Bool # (<=) :: Float -> Float -> Bool # (>) :: Float -> Float -> Bool # (>=) :: Float -> Float -> Bool # max :: Float -> Float -> Float # min :: Float -> Float -> Float #
Read Float	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Float # readList :: ReadS [Float] # readPrec :: ReadPrec Float # readListPrec :: ReadPrec [Float] #
RealFloat Float	Since: base-2.1
Instance details Defined in GHC.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # exponent :: Float -> Int # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isNaN :: Float -> Bool # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # isIEEE :: Float -> Bool # atan2 :: Float -> Float -> Float #
Lift Float
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Float -> Q Exp #
Hashable Float
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Float -> Int # hash :: Float -> Int #
Storable Float	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Float -> Int # alignment :: Float -> Int # peekElemOff :: Ptr Float -> Int -> IO Float # pokeElemOff :: Ptr Float -> Int -> Float -> IO () # peekByteOff :: Ptr b -> Int -> IO Float # pokeByteOff :: Ptr b -> Int -> Float -> IO () # peek :: Ptr Float -> IO Float # poke :: Ptr Float -> Float -> IO () #
Default Float
Instance details Defined in Data.Default.Class Methods def :: Float #
NFData Float
Instance details Defined in Control.DeepSeq Methods rnf :: Float -> () #
Prim Float
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Float -> Int# # alignment# :: Float -> Int# # indexByteArray# :: ByteArray# -> Int# -> Float # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Float#) # writeByteArray# :: MutableByteArray# s -> Int# -> Float -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Float -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Float # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Float#) # writeOffAddr# :: Addr# -> Int# -> Float -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Float -> State# s -> State# s #
Unbox Float
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Float
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Float -> m (Vector Float) # basicUnsafeThaw :: PrimMonad m => Vector Float -> m (Mutable Vector (PrimState m) Float) # basicLength :: Vector Float -> Int # basicUnsafeSlice :: Int -> Int -> Vector Float -> Vector Float # basicUnsafeIndexM :: Monad m => Vector Float -> Int -> m Float # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Float -> Vector Float -> m () # elemseq :: Vector Float -> Float -> b -> b #
MVector MVector Float
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Float -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Float -> MVector s Float # basicOverlaps :: MVector s Float -> MVector s Float -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Float) # basicInitialize :: PrimMonad m => MVector (PrimState m) Float -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Float -> m (MVector (PrimState m) Float) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Float -> Int -> m Float # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Float -> Int -> Float -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Float -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Float -> Float -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Float -> Int -> m (MVector (PrimState m) Float) #
Generic1 (URec Float :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Float) :: k -> Type # Methods from1 :: URec Float a -> Rep1 (URec Float) a # to1 :: Rep1 (URec Float) a -> URec Float a #
Functor (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Float a -> URec Float b # (<$) :: a -> URec Float b -> URec Float a #
Foldable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # sum :: Num a => URec Float a -> a # product :: Num a => URec Float a -> a #
Traversable (URec Float :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Float a -> f (URec Float b) # sequenceA :: Applicative f => URec Float (f a) -> f (URec Float a) # mapM :: Monad m => (a -> m b) -> URec Float a -> m (URec Float b) # sequence :: Monad m => URec Float (m a) -> m (URec Float a) #
Eq (URec Float p)
Instance details Defined in GHC.Generics Methods (==) :: URec Float p -> URec Float p -> Bool # (/=) :: URec Float p -> URec Float p -> Bool #
Ord (URec Float p)
Instance details Defined in GHC.Generics Methods compare :: URec Float p -> URec Float p -> Ordering # (<) :: URec Float p -> URec Float p -> Bool # (<=) :: URec Float p -> URec Float p -> Bool # (>) :: URec Float p -> URec Float p -> Bool # (>=) :: URec Float p -> URec Float p -> Bool # max :: URec Float p -> URec Float p -> URec Float p # min :: URec Float p -> URec Float p -> URec Float p #
Show (URec Float p)
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Float p -> ShowS # show :: URec Float p -> String # showList :: [URec Float p] -> ShowS #
Generic (URec Float p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Float p) :: Type -> Type # Methods from :: URec Float p -> Rep (URec Float p) x # to :: Rep (URec Float p) x -> URec Float p #
data Vector Float
Instance details Defined in Data.Vector.Unboxed.Base data Vector Float = V_Float (Vector Float)
data URec Float (p :: k)	Used for marking occurrences of `Float#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Float (p :: k) = UFloat { uFloat# :: Float# }
type ConversionError Float Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int = BoundError
type ConversionError Float Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int8 = BoundError
type ConversionError Float Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int16 = BoundError
type ConversionError Float Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int32 = BoundError
type ConversionError Float Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int64 = BoundError
type ConversionError Float Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word = BoundError
type ConversionError Float Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word8 = BoundError
type ConversionError Float Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word16 = BoundError
type ConversionError Float Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word32 = BoundError
type ConversionError Float Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word64 = BoundError
data MVector s Float
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Float = MV_Float (MVector s Float)
type Rep1 (URec Float :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Float :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: k -> Type)))
type Rep (URec Float p)
Instance details Defined in GHC.Generics type Rep (URec Float p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UFloat" PrefixI True) (S1 (MetaSel (Just "uFloat#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UFloat :: Type -> Type)))

data Int #

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.

Instances

Bounded Int	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Int # maxBound :: Int #
Enum Int	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Int -> Int # pred :: Int -> Int # toEnum :: Int -> Int # fromEnum :: Int -> Int # enumFrom :: Int -> [Int] # enumFromThen :: Int -> Int -> [Int] # enumFromTo :: Int -> Int -> [Int] # enumFromThenTo :: Int -> Int -> Int -> [Int] #
Eq Int
Instance details Defined in GHC.Classes Methods (==) :: Int -> Int -> Bool # (/=) :: Int -> Int -> Bool #
Integral Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Int -> Int -> Int # rem :: Int -> Int -> Int # div :: Int -> Int -> Int # mod :: Int -> Int -> Int # quotRem :: Int -> Int -> (Int, Int) # divMod :: Int -> Int -> (Int, Int) # toInteger :: Int -> Integer #
Data Int	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int -> c Int # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int # toConstr :: Int -> Constr # dataTypeOf :: Int -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int) # gmapT :: (forall b. Data b => b -> b) -> Int -> Int # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r # gmapQ :: (forall d. Data d => d -> u) -> Int -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int -> m Int # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int #
Num Int	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Int -> Int -> Int # (-) :: Int -> Int -> Int # (*) :: Int -> Int -> Int # negate :: Int -> Int # abs :: Int -> Int # signum :: Int -> Int # fromInteger :: Integer -> Int #
Ord Int
Instance details Defined in GHC.Classes Methods compare :: Int -> Int -> Ordering # (<) :: Int -> Int -> Bool # (<=) :: Int -> Int -> Bool # (>) :: Int -> Int -> Bool # (>=) :: Int -> Int -> Bool # max :: Int -> Int -> Int # min :: Int -> Int -> Int #
Read Int	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Int # readList :: ReadS [Int] # readPrec :: ReadPrec Int # readListPrec :: ReadPrec [Int] #
Real Int	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Int -> Rational #
Show Int	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Int -> ShowS # show :: Int -> String # showList :: [Int] -> ShowS #
Ix Int	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Int, Int) -> [Int] # index :: (Int, Int) -> Int -> Int # unsafeIndex :: (Int, Int) -> Int -> Int inRange :: (Int, Int) -> Int -> Bool # rangeSize :: (Int, Int) -> Int # unsafeRangeSize :: (Int, Int) -> Int
Lift Int
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int -> Q Exp #
Hashable Int
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int -> Int # hash :: Int -> Int #
Storable Int	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int -> Int # alignment :: Int -> Int # peekElemOff :: Ptr Int -> Int -> IO Int # pokeElemOff :: Ptr Int -> Int -> Int -> IO () # peekByteOff :: Ptr b -> Int -> IO Int # pokeByteOff :: Ptr b -> Int -> Int -> IO () # peek :: Ptr Int -> IO Int # poke :: Ptr Int -> Int -> IO () #
Default Int
Instance details Defined in Data.Default.Class Methods def :: Int #
NFData Int
Instance details Defined in Control.DeepSeq Methods rnf :: Int -> () #
Prim Int
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int -> Int# # alignment# :: Int -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int#) # writeOffAddr# :: Addr# -> Int# -> Int -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int -> State# s -> State# s #
Unbox Int
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int -> m (Vector Int) # basicUnsafeThaw :: PrimMonad m => Vector Int -> m (Mutable Vector (PrimState m) Int) # basicLength :: Vector Int -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int -> Vector Int # basicUnsafeIndexM :: Monad m => Vector Int -> Int -> m Int # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int -> Vector Int -> m () # elemseq :: Vector Int -> Int -> b -> b #
FunctorWithIndex Int []	The position in the list is available as the index.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> [a] -> [b] # imapped :: IndexedSetter Int [a] [b] a b #
FunctorWithIndex Int ZipList	Same instance as for `[]`.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> ZipList a -> ZipList b # imapped :: IndexedSetter Int (ZipList a) (ZipList b) a b #
FunctorWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> NonEmpty a -> NonEmpty b # imapped :: IndexedSetter Int (NonEmpty a) (NonEmpty b) a b #
FunctorWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> IntMap a -> IntMap b # imapped :: IndexedSetter Int (IntMap a) (IntMap b) a b #
FunctorWithIndex Int Seq	The position in the `Seq` is available as the index.
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> Seq a -> Seq b # imapped :: IndexedSetter Int (Seq a) (Seq b) a b #
FunctorWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods imap :: (Int -> a -> b) -> Vector a -> Vector b # imapped :: IndexedSetter Int (Vector a) (Vector b) a b #
FoldableWithIndex Int []
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> [a] -> m # ifolded :: IndexedFold Int [a] a # ifoldr :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl :: (Int -> b -> a -> b) -> b -> [a] -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> [a] -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> [a] -> b #
FoldableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> ZipList a -> m # ifolded :: IndexedFold Int (ZipList a) a # ifoldr :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> ZipList a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> ZipList a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> ZipList a -> b #
FoldableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> NonEmpty a -> m # ifolded :: IndexedFold Int (NonEmpty a) a # ifoldr :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> NonEmpty a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> NonEmpty a -> b #
FoldableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> IntMap a -> m # ifolded :: IndexedFold Int (IntMap a) a # ifoldr :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> IntMap a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> IntMap a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> IntMap a -> b #
FoldableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Seq a -> m # ifolded :: IndexedFold Int (Seq a) a # ifoldr :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Seq a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Seq a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Seq a -> b #
FoldableWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => (Int -> a -> m) -> Vector a -> m # ifolded :: IndexedFold Int (Vector a) a # ifoldr :: (Int -> a -> b -> b) -> b -> Vector a -> b # ifoldl :: (Int -> b -> a -> b) -> b -> Vector a -> b # ifoldr' :: (Int -> a -> b -> b) -> b -> Vector a -> b # ifoldl' :: (Int -> b -> a -> b) -> b -> Vector a -> b #
TraversableWithIndex Int []
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> [a] -> f [b] # itraversed :: IndexedTraversal Int [a] [b] a b #
TraversableWithIndex Int ZipList
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> ZipList a -> f (ZipList b) # itraversed :: IndexedTraversal Int (ZipList a) (ZipList b) a b #
TraversableWithIndex Int NonEmpty
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> NonEmpty a -> f (NonEmpty b) # itraversed :: IndexedTraversal Int (NonEmpty a) (NonEmpty b) a b #
TraversableWithIndex Int IntMap
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> IntMap a -> f (IntMap b) # itraversed :: IndexedTraversal Int (IntMap a) (IntMap b) a b #
TraversableWithIndex Int Seq
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b) # itraversed :: IndexedTraversal Int (Seq a) (Seq b) a b #
TraversableWithIndex Int Vector
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => (Int -> a -> f b) -> Vector a -> f (Vector b) # itraversed :: IndexedTraversal Int (Vector a) (Vector b) a b #
TraverseMin Int IntMap
Instance details Defined in Control.Lens.Traversal Methods traverseMin :: IndexedTraversal' Int (IntMap v) v #
TraverseMax Int IntMap
Instance details Defined in Control.Lens.Traversal Methods traverseMax :: IndexedTraversal' Int (IntMap v) v #
MVector MVector Int
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int -> MVector s Int # basicOverlaps :: MVector s Int -> MVector s Int -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int -> m (MVector (PrimState m) Int) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int -> Int -> m Int # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int -> Int -> Int -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int -> Int -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int -> Int -> m (MVector (PrimState m) Int) #
Generic1 (URec Int :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Int) :: k -> Type # Methods from1 :: URec Int a -> Rep1 (URec Int) a # to1 :: Rep1 (URec Int) a -> URec Int a #
FunctorWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods imap :: ([Int] -> a -> b) -> Tree a -> Tree b # imapped :: IndexedSetter [Int] (Tree a) (Tree b) a b #
FoldableWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods ifoldMap :: Monoid m => ([Int] -> a -> m) -> Tree a -> m # ifolded :: IndexedFold [Int] (Tree a) a # ifoldr :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl :: ([Int] -> b -> a -> b) -> b -> Tree a -> b # ifoldr' :: ([Int] -> a -> b -> b) -> b -> Tree a -> b # ifoldl' :: ([Int] -> b -> a -> b) -> b -> Tree a -> b #
TraversableWithIndex [Int] Tree
Instance details Defined in Control.Lens.Indexed Methods itraverse :: Applicative f => ([Int] -> a -> f b) -> Tree a -> f (Tree b) # itraversed :: IndexedTraversal [Int] (Tree a) (Tree b) a b #
Bizarre (Indexed Int) Mafic
Instance details Defined in Control.Lens.Internal.Magma Methods bazaar :: Applicative f => Indexed Int a (f b) -> Mafic a b t -> f t #
Reifies Z Int
Instance details Defined in Data.Reflection Methods reflect :: proxy Z -> Int #
Reifies n Int => Reifies (D n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (D n) -> Int #
Reifies n Int => Reifies (SD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (SD n) -> Int #
Reifies n Int => Reifies (PD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (PD n) -> Int #
Functor (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Int a -> URec Int b # (<$) :: a -> URec Int b -> URec Int a #
Foldable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # toList :: URec Int a -> [a] # null :: URec Int a -> Bool # length :: URec Int a -> Int # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # sum :: Num a => URec Int a -> a # product :: Num a => URec Int a -> a #
Traversable (URec Int :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Int a -> f (URec Int b) # sequenceA :: Applicative f => URec Int (f a) -> f (URec Int a) # mapM :: Monad m => (a -> m b) -> URec Int a -> m (URec Int b) # sequence :: Monad m => URec Int (m a) -> m (URec Int a) #
Eq (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Int p -> URec Int p -> Bool # (/=) :: URec Int p -> URec Int p -> Bool #
Ord (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Int p -> URec Int p -> Ordering # (<) :: URec Int p -> URec Int p -> Bool # (<=) :: URec Int p -> URec Int p -> Bool # (>) :: URec Int p -> URec Int p -> Bool # (>=) :: URec Int p -> URec Int p -> Bool # max :: URec Int p -> URec Int p -> URec Int p # min :: URec Int p -> URec Int p -> URec Int p #
Show (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Int p -> ShowS # show :: URec Int p -> String # showList :: [URec Int p] -> ShowS #
Generic (URec Int p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Int p) :: Type -> Type # Methods from :: URec Int p -> Rep (URec Int p) x # to :: Rep (URec Int p) x -> URec Int p #
data Vector Int
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int = V_Int (Vector Int)
data URec Int (p :: k)	Used for marking occurrences of `Int#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Int (p :: k) = UInt { uInt# :: Int# }
type ConversionError Double Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int = BoundError
type ConversionError Float Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int = BoundError
type ConversionError Int Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Int8 = BoundError
type ConversionError Int Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Int16 = BoundError
type ConversionError Int Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Word8 = BoundError
type ConversionError Int32 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int = BoundError
type ConversionError Int64 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int = BoundError
type ConversionError Integer Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int = BoundError
type ConversionError Rational Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int = BoundError
type ConversionError Word Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int = BoundError
type ConversionError Word16 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int = BoundError
type ConversionError Word32 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int = BoundError
type ConversionError Word64 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int = BoundError
data MVector s Int
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int = MV_Int (MVector s Int)
type Rep1 (URec Int :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Int :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: k -> Type)))
type Rep (URec Int p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Int p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UInt" PrefixI True) (S1 (MetaSel (Just "uInt#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UInt :: Type -> Type)))

data Int8 #

8-bit signed integer type

Instances

Bounded Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int8 # maxBound :: Int8 #
Enum Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int8 -> Int8 # pred :: Int8 -> Int8 # toEnum :: Int -> Int8 # fromEnum :: Int8 -> Int # enumFrom :: Int8 -> [Int8] # enumFromThen :: Int8 -> Int8 -> [Int8] # enumFromTo :: Int8 -> Int8 -> [Int8] # enumFromThenTo :: Int8 -> Int8 -> Int8 -> [Int8] #
Eq Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int8 -> Int8 -> Bool # (/=) :: Int8 -> Int8 -> Bool #
Integral Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int8 -> Int8 -> Int8 # rem :: Int8 -> Int8 -> Int8 # div :: Int8 -> Int8 -> Int8 # mod :: Int8 -> Int8 -> Int8 # quotRem :: Int8 -> Int8 -> (Int8, Int8) # divMod :: Int8 -> Int8 -> (Int8, Int8) # toInteger :: Int8 -> Integer #
Data Int8	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int8 -> c Int8 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int8 # toConstr :: Int8 -> Constr # dataTypeOf :: Int8 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int8) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int8) # gmapT :: (forall b. Data b => b -> b) -> Int8 -> Int8 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int8 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int8 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int8 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int8 -> m Int8 #
Num Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int8 -> Int8 -> Int8 # (-) :: Int8 -> Int8 -> Int8 # (*) :: Int8 -> Int8 -> Int8 # negate :: Int8 -> Int8 # abs :: Int8 -> Int8 # signum :: Int8 -> Int8 # fromInteger :: Integer -> Int8 #
Ord Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int8 -> Int8 -> Ordering # (<) :: Int8 -> Int8 -> Bool # (<=) :: Int8 -> Int8 -> Bool # (>) :: Int8 -> Int8 -> Bool # (>=) :: Int8 -> Int8 -> Bool # max :: Int8 -> Int8 -> Int8 # min :: Int8 -> Int8 -> Int8 #
Read Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int8 # readList :: ReadS [Int8] # readPrec :: ReadPrec Int8 # readListPrec :: ReadPrec [Int8] #
Real Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int8 -> Rational #
Show Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int8 -> ShowS # show :: Int8 -> String # showList :: [Int8] -> ShowS #
Ix Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int8, Int8) -> [Int8] # index :: (Int8, Int8) -> Int8 -> Int # unsafeIndex :: (Int8, Int8) -> Int8 -> Int inRange :: (Int8, Int8) -> Int8 -> Bool # rangeSize :: (Int8, Int8) -> Int # unsafeRangeSize :: (Int8, Int8) -> Int
Lift Int8
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int8 -> Q Exp #
Hashable Int8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int8 -> Int # hash :: Int8 -> Int #
Storable Int8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int8 -> Int # alignment :: Int8 -> Int # peekElemOff :: Ptr Int8 -> Int -> IO Int8 # pokeElemOff :: Ptr Int8 -> Int -> Int8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int8 # pokeByteOff :: Ptr b -> Int -> Int8 -> IO () # peek :: Ptr Int8 -> IO Int8 # poke :: Ptr Int8 -> Int8 -> IO () #
Bits Int8	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int8 -> Int8 -> Int8 # (.\|.) :: Int8 -> Int8 -> Int8 # xor :: Int8 -> Int8 -> Int8 # complement :: Int8 -> Int8 # shift :: Int8 -> Int -> Int8 # rotate :: Int8 -> Int -> Int8 # zeroBits :: Int8 # bit :: Int -> Int8 # setBit :: Int8 -> Int -> Int8 # clearBit :: Int8 -> Int -> Int8 # complementBit :: Int8 -> Int -> Int8 # testBit :: Int8 -> Int -> Bool # bitSizeMaybe :: Int8 -> Maybe Int # bitSize :: Int8 -> Int # isSigned :: Int8 -> Bool # shiftL :: Int8 -> Int -> Int8 # unsafeShiftL :: Int8 -> Int -> Int8 # shiftR :: Int8 -> Int -> Int8 # unsafeShiftR :: Int8 -> Int -> Int8 # rotateL :: Int8 -> Int -> Int8 # rotateR :: Int8 -> Int -> Int8 # popCount :: Int8 -> Int #
FiniteBits Int8	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int8 -> Int # countLeadingZeros :: Int8 -> Int # countTrailingZeros :: Int8 -> Int #
Default Int8
Instance details Defined in Data.Default.Class Methods def :: Int8 #
NFData Int8
Instance details Defined in Control.DeepSeq Methods rnf :: Int8 -> () #
Prim Int8
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int8 -> Int# # alignment# :: Int8 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int8 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int8#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int8 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int8 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int8 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int8#) # writeOffAddr# :: Addr# -> Int# -> Int8 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int8 -> State# s -> State# s #
Unbox Int8
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> m (Vector Int8) # basicUnsafeThaw :: PrimMonad m => Vector Int8 -> m (Mutable Vector (PrimState m) Int8) # basicLength :: Vector Int8 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int8 -> Vector Int8 # basicUnsafeIndexM :: Monad m => Vector Int8 -> Int -> m Int8 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> Vector Int8 -> m () # elemseq :: Vector Int8 -> Int8 -> b -> b #
MVector MVector Int8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int8 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int8 -> MVector s Int8 # basicOverlaps :: MVector s Int8 -> MVector s Int8 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int8) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int8 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int8 -> m (MVector (PrimState m) Int8) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m Int8 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> Int8 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int8 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int8 -> Int8 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m (MVector (PrimState m) Int8) #
data Vector Int8
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int8 = V_Int8 (Vector Int8)
type ConversionError Double Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int8 = BoundError
type ConversionError Float Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int8 = BoundError
type ConversionError Int Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Int8 = BoundError
type ConversionError Int16 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int16 Int8 = BoundError
type ConversionError Int32 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int8 = BoundError
type ConversionError Int64 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int8 = BoundError
type ConversionError Integer Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int8 = BoundError
type ConversionError Rational Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int8 = BoundError
type ConversionError Word Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int8 = BoundError
type ConversionError Word8 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word8 Int8 = BoundError
type ConversionError Word16 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int8 = BoundError
type ConversionError Word32 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int8 = BoundError
type ConversionError Word64 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int8 = BoundError
data MVector s Int8
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int8 = MV_Int8 (MVector s Int8)

data Int16 #

16-bit signed integer type

Instances

Bounded Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int16 # maxBound :: Int16 #
Enum Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int16 -> Int16 # pred :: Int16 -> Int16 # toEnum :: Int -> Int16 # fromEnum :: Int16 -> Int # enumFrom :: Int16 -> [Int16] # enumFromThen :: Int16 -> Int16 -> [Int16] # enumFromTo :: Int16 -> Int16 -> [Int16] # enumFromThenTo :: Int16 -> Int16 -> Int16 -> [Int16] #
Eq Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int16 -> Int16 -> Bool # (/=) :: Int16 -> Int16 -> Bool #
Integral Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int16 -> Int16 -> Int16 # rem :: Int16 -> Int16 -> Int16 # div :: Int16 -> Int16 -> Int16 # mod :: Int16 -> Int16 -> Int16 # quotRem :: Int16 -> Int16 -> (Int16, Int16) # divMod :: Int16 -> Int16 -> (Int16, Int16) # toInteger :: Int16 -> Integer #
Data Int16	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int16 -> c Int16 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int16 # toConstr :: Int16 -> Constr # dataTypeOf :: Int16 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int16) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int16) # gmapT :: (forall b. Data b => b -> b) -> Int16 -> Int16 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int16 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int16 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int16 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int16 -> m Int16 #
Num Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int16 -> Int16 -> Int16 # (-) :: Int16 -> Int16 -> Int16 # (*) :: Int16 -> Int16 -> Int16 # negate :: Int16 -> Int16 # abs :: Int16 -> Int16 # signum :: Int16 -> Int16 # fromInteger :: Integer -> Int16 #
Ord Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int16 -> Int16 -> Ordering # (<) :: Int16 -> Int16 -> Bool # (<=) :: Int16 -> Int16 -> Bool # (>) :: Int16 -> Int16 -> Bool # (>=) :: Int16 -> Int16 -> Bool # max :: Int16 -> Int16 -> Int16 # min :: Int16 -> Int16 -> Int16 #
Read Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int16 # readList :: ReadS [Int16] # readPrec :: ReadPrec Int16 # readListPrec :: ReadPrec [Int16] #
Real Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int16 -> Rational #
Show Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int16 -> ShowS # show :: Int16 -> String # showList :: [Int16] -> ShowS #
Ix Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int16, Int16) -> [Int16] # index :: (Int16, Int16) -> Int16 -> Int # unsafeIndex :: (Int16, Int16) -> Int16 -> Int inRange :: (Int16, Int16) -> Int16 -> Bool # rangeSize :: (Int16, Int16) -> Int # unsafeRangeSize :: (Int16, Int16) -> Int
Lift Int16
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int16 -> Q Exp #
Hashable Int16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int16 -> Int # hash :: Int16 -> Int #
Storable Int16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int16 -> Int # alignment :: Int16 -> Int # peekElemOff :: Ptr Int16 -> Int -> IO Int16 # pokeElemOff :: Ptr Int16 -> Int -> Int16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int16 # pokeByteOff :: Ptr b -> Int -> Int16 -> IO () # peek :: Ptr Int16 -> IO Int16 # poke :: Ptr Int16 -> Int16 -> IO () #
Bits Int16	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int16 -> Int16 -> Int16 # (.\|.) :: Int16 -> Int16 -> Int16 # xor :: Int16 -> Int16 -> Int16 # complement :: Int16 -> Int16 # shift :: Int16 -> Int -> Int16 # rotate :: Int16 -> Int -> Int16 # zeroBits :: Int16 # bit :: Int -> Int16 # setBit :: Int16 -> Int -> Int16 # clearBit :: Int16 -> Int -> Int16 # complementBit :: Int16 -> Int -> Int16 # testBit :: Int16 -> Int -> Bool # bitSizeMaybe :: Int16 -> Maybe Int # bitSize :: Int16 -> Int # isSigned :: Int16 -> Bool # shiftL :: Int16 -> Int -> Int16 # unsafeShiftL :: Int16 -> Int -> Int16 # shiftR :: Int16 -> Int -> Int16 # unsafeShiftR :: Int16 -> Int -> Int16 # rotateL :: Int16 -> Int -> Int16 # rotateR :: Int16 -> Int -> Int16 # popCount :: Int16 -> Int #
FiniteBits Int16	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int16 -> Int # countLeadingZeros :: Int16 -> Int # countTrailingZeros :: Int16 -> Int #
Default Int16
Instance details Defined in Data.Default.Class Methods def :: Int16 #
NFData Int16
Instance details Defined in Control.DeepSeq Methods rnf :: Int16 -> () #
Prim Int16
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int16 -> Int# # alignment# :: Int16 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int16 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int16#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int16 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int16 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int16 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int16#) # writeOffAddr# :: Addr# -> Int# -> Int16 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int16 -> State# s -> State# s #
Unbox Int16
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> m (Vector Int16) # basicUnsafeThaw :: PrimMonad m => Vector Int16 -> m (Mutable Vector (PrimState m) Int16) # basicLength :: Vector Int16 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int16 -> Vector Int16 # basicUnsafeIndexM :: Monad m => Vector Int16 -> Int -> m Int16 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> Vector Int16 -> m () # elemseq :: Vector Int16 -> Int16 -> b -> b #
MVector MVector Int16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int16 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int16 -> MVector s Int16 # basicOverlaps :: MVector s Int16 -> MVector s Int16 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int16) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int16 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int16 -> m (MVector (PrimState m) Int16) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m Int16 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> Int16 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int16 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int16 -> Int16 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m (MVector (PrimState m) Int16) #
data Vector Int16
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int16 = V_Int16 (Vector Int16)
type ConversionError Double Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int16 = BoundError
type ConversionError Float Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int16 = BoundError
type ConversionError Int Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Int16 = BoundError
type ConversionError Int16 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int16 Int8 = BoundError
type ConversionError Int32 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int16 = BoundError
type ConversionError Int64 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int16 = BoundError
type ConversionError Integer Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int16 = BoundError
type ConversionError Rational Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int16 = BoundError
type ConversionError Word Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int16 = BoundError
type ConversionError Word16 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int16 = BoundError
type ConversionError Word32 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int16 = BoundError
type ConversionError Word64 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int16 = BoundError
data MVector s Int16
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int16 = MV_Int16 (MVector s Int16)

data Int32 #

32-bit signed integer type

Instances

Bounded Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int32 # maxBound :: Int32 #
Enum Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int32 -> Int32 # pred :: Int32 -> Int32 # toEnum :: Int -> Int32 # fromEnum :: Int32 -> Int # enumFrom :: Int32 -> [Int32] # enumFromThen :: Int32 -> Int32 -> [Int32] # enumFromTo :: Int32 -> Int32 -> [Int32] # enumFromThenTo :: Int32 -> Int32 -> Int32 -> [Int32] #
Eq Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int32 -> Int32 -> Bool # (/=) :: Int32 -> Int32 -> Bool #
Integral Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int32 -> Int32 -> Int32 # rem :: Int32 -> Int32 -> Int32 # div :: Int32 -> Int32 -> Int32 # mod :: Int32 -> Int32 -> Int32 # quotRem :: Int32 -> Int32 -> (Int32, Int32) # divMod :: Int32 -> Int32 -> (Int32, Int32) # toInteger :: Int32 -> Integer #
Data Int32	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int32 -> c Int32 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int32 # toConstr :: Int32 -> Constr # dataTypeOf :: Int32 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int32) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int32) # gmapT :: (forall b. Data b => b -> b) -> Int32 -> Int32 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int32 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int32 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int32 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int32 -> m Int32 #
Num Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int32 -> Int32 -> Int32 # (-) :: Int32 -> Int32 -> Int32 # (*) :: Int32 -> Int32 -> Int32 # negate :: Int32 -> Int32 # abs :: Int32 -> Int32 # signum :: Int32 -> Int32 # fromInteger :: Integer -> Int32 #
Ord Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int32 -> Int32 -> Ordering # (<) :: Int32 -> Int32 -> Bool # (<=) :: Int32 -> Int32 -> Bool # (>) :: Int32 -> Int32 -> Bool # (>=) :: Int32 -> Int32 -> Bool # max :: Int32 -> Int32 -> Int32 # min :: Int32 -> Int32 -> Int32 #
Read Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int32 # readList :: ReadS [Int32] # readPrec :: ReadPrec Int32 # readListPrec :: ReadPrec [Int32] #
Real Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int32 -> Rational #
Show Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int32 -> ShowS # show :: Int32 -> String # showList :: [Int32] -> ShowS #
Ix Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int32, Int32) -> [Int32] # index :: (Int32, Int32) -> Int32 -> Int # unsafeIndex :: (Int32, Int32) -> Int32 -> Int inRange :: (Int32, Int32) -> Int32 -> Bool # rangeSize :: (Int32, Int32) -> Int # unsafeRangeSize :: (Int32, Int32) -> Int
Lift Int32
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int32 -> Q Exp #
Hashable Int32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int32 -> Int # hash :: Int32 -> Int #
Storable Int32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int32 -> Int # alignment :: Int32 -> Int # peekElemOff :: Ptr Int32 -> Int -> IO Int32 # pokeElemOff :: Ptr Int32 -> Int -> Int32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int32 # pokeByteOff :: Ptr b -> Int -> Int32 -> IO () # peek :: Ptr Int32 -> IO Int32 # poke :: Ptr Int32 -> Int32 -> IO () #
Bits Int32	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int32 -> Int32 -> Int32 # (.\|.) :: Int32 -> Int32 -> Int32 # xor :: Int32 -> Int32 -> Int32 # complement :: Int32 -> Int32 # shift :: Int32 -> Int -> Int32 # rotate :: Int32 -> Int -> Int32 # zeroBits :: Int32 # bit :: Int -> Int32 # setBit :: Int32 -> Int -> Int32 # clearBit :: Int32 -> Int -> Int32 # complementBit :: Int32 -> Int -> Int32 # testBit :: Int32 -> Int -> Bool # bitSizeMaybe :: Int32 -> Maybe Int # bitSize :: Int32 -> Int # isSigned :: Int32 -> Bool # shiftL :: Int32 -> Int -> Int32 # unsafeShiftL :: Int32 -> Int -> Int32 # shiftR :: Int32 -> Int -> Int32 # unsafeShiftR :: Int32 -> Int -> Int32 # rotateL :: Int32 -> Int -> Int32 # rotateR :: Int32 -> Int -> Int32 # popCount :: Int32 -> Int #
FiniteBits Int32	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int32 -> Int # countLeadingZeros :: Int32 -> Int # countTrailingZeros :: Int32 -> Int #
Default Int32
Instance details Defined in Data.Default.Class Methods def :: Int32 #
NFData Int32
Instance details Defined in Control.DeepSeq Methods rnf :: Int32 -> () #
Prim Int32
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int32 -> Int# # alignment# :: Int32 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int32 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int32#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int32 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int32 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int32 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int32#) # writeOffAddr# :: Addr# -> Int# -> Int32 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int32 -> State# s -> State# s #
Unbox Int32
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> m (Vector Int32) # basicUnsafeThaw :: PrimMonad m => Vector Int32 -> m (Mutable Vector (PrimState m) Int32) # basicLength :: Vector Int32 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int32 -> Vector Int32 # basicUnsafeIndexM :: Monad m => Vector Int32 -> Int -> m Int32 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> Vector Int32 -> m () # elemseq :: Vector Int32 -> Int32 -> b -> b #
MVector MVector Int32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int32 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int32 -> MVector s Int32 # basicOverlaps :: MVector s Int32 -> MVector s Int32 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int32) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int32 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int32 -> m (MVector (PrimState m) Int32) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m Int32 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> Int32 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int32 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int32 -> Int32 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m (MVector (PrimState m) Int32) #
data Vector Int32
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int32 = V_Int32 (Vector Int32)
type ConversionError Double Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int32 = BoundError
type ConversionError Float Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int32 = BoundError
type ConversionError Int32 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int = BoundError
type ConversionError Int32 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int8 = BoundError
type ConversionError Int32 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Int16 = BoundError
type ConversionError Int32 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Word8 = BoundError
type ConversionError Int64 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int32 = BoundError
type ConversionError Integer Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int32 = BoundError
type ConversionError Rational Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int32 = BoundError
type ConversionError Word Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int32 = BoundError
type ConversionError Word32 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int32 = BoundError
type ConversionError Word64 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int32 = BoundError
data MVector s Int32
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int32 = MV_Int32 (MVector s Int32)

data Int64 #

64-bit signed integer type

Instances

Bounded Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods minBound :: Int64 # maxBound :: Int64 #
Enum Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods succ :: Int64 -> Int64 # pred :: Int64 -> Int64 # toEnum :: Int -> Int64 # fromEnum :: Int64 -> Int # enumFrom :: Int64 -> [Int64] # enumFromThen :: Int64 -> Int64 -> [Int64] # enumFromTo :: Int64 -> Int64 -> [Int64] # enumFromThenTo :: Int64 -> Int64 -> Int64 -> [Int64] #
Eq Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (==) :: Int64 -> Int64 -> Bool # (/=) :: Int64 -> Int64 -> Bool #
Integral Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods quot :: Int64 -> Int64 -> Int64 # rem :: Int64 -> Int64 -> Int64 # div :: Int64 -> Int64 -> Int64 # mod :: Int64 -> Int64 -> Int64 # quotRem :: Int64 -> Int64 -> (Int64, Int64) # divMod :: Int64 -> Int64 -> (Int64, Int64) # toInteger :: Int64 -> Integer #
Data Int64	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int64 -> c Int64 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int64 # toConstr :: Int64 -> Constr # dataTypeOf :: Int64 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Int64) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Int64) # gmapT :: (forall b. Data b => b -> b) -> Int64 -> Int64 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int64 -> r # gmapQ :: (forall d. Data d => d -> u) -> Int64 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Int64 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int64 -> m Int64 #
Num Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (+) :: Int64 -> Int64 -> Int64 # (-) :: Int64 -> Int64 -> Int64 # (*) :: Int64 -> Int64 -> Int64 # negate :: Int64 -> Int64 # abs :: Int64 -> Int64 # signum :: Int64 -> Int64 # fromInteger :: Integer -> Int64 #
Ord Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods compare :: Int64 -> Int64 -> Ordering # (<) :: Int64 -> Int64 -> Bool # (<=) :: Int64 -> Int64 -> Bool # (>) :: Int64 -> Int64 -> Bool # (>=) :: Int64 -> Int64 -> Bool # max :: Int64 -> Int64 -> Int64 # min :: Int64 -> Int64 -> Int64 #
Read Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods readsPrec :: Int -> ReadS Int64 # readList :: ReadS [Int64] # readPrec :: ReadPrec Int64 # readListPrec :: ReadPrec [Int64] #
Real Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods toRational :: Int64 -> Rational #
Show Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods showsPrec :: Int -> Int64 -> ShowS # show :: Int64 -> String # showList :: [Int64] -> ShowS #
Ix Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods range :: (Int64, Int64) -> [Int64] # index :: (Int64, Int64) -> Int64 -> Int # unsafeIndex :: (Int64, Int64) -> Int64 -> Int inRange :: (Int64, Int64) -> Int64 -> Bool # rangeSize :: (Int64, Int64) -> Int # unsafeRangeSize :: (Int64, Int64) -> Int
Lift Int64
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Int64 -> Q Exp #
Hashable Int64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Int64 -> Int # hash :: Int64 -> Int #
Storable Int64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Int64 -> Int # alignment :: Int64 -> Int # peekElemOff :: Ptr Int64 -> Int -> IO Int64 # pokeElemOff :: Ptr Int64 -> Int -> Int64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Int64 # pokeByteOff :: Ptr b -> Int -> Int64 -> IO () # peek :: Ptr Int64 -> IO Int64 # poke :: Ptr Int64 -> Int64 -> IO () #
Bits Int64	Since: base-2.1
Instance details Defined in GHC.Int Methods (.&.) :: Int64 -> Int64 -> Int64 # (.\|.) :: Int64 -> Int64 -> Int64 # xor :: Int64 -> Int64 -> Int64 # complement :: Int64 -> Int64 # shift :: Int64 -> Int -> Int64 # rotate :: Int64 -> Int -> Int64 # zeroBits :: Int64 # bit :: Int -> Int64 # setBit :: Int64 -> Int -> Int64 # clearBit :: Int64 -> Int -> Int64 # complementBit :: Int64 -> Int -> Int64 # testBit :: Int64 -> Int -> Bool # bitSizeMaybe :: Int64 -> Maybe Int # bitSize :: Int64 -> Int # isSigned :: Int64 -> Bool # shiftL :: Int64 -> Int -> Int64 # unsafeShiftL :: Int64 -> Int -> Int64 # shiftR :: Int64 -> Int -> Int64 # unsafeShiftR :: Int64 -> Int -> Int64 # rotateL :: Int64 -> Int -> Int64 # rotateR :: Int64 -> Int -> Int64 # popCount :: Int64 -> Int #
FiniteBits Int64	Since: base-4.6.0.0
Instance details Defined in GHC.Int Methods finiteBitSize :: Int64 -> Int # countLeadingZeros :: Int64 -> Int # countTrailingZeros :: Int64 -> Int #
Default Int64
Instance details Defined in Data.Default.Class Methods def :: Int64 #
NFData Int64
Instance details Defined in Control.DeepSeq Methods rnf :: Int64 -> () #
Prim Int64
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Int64 -> Int# # alignment# :: Int64 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Int64 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Int64#) # writeByteArray# :: MutableByteArray# s -> Int# -> Int64 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Int64 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Int64 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Int64#) # writeOffAddr# :: Addr# -> Int# -> Int64 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Int64 -> State# s -> State# s #
Unbox Int64
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Int64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> m (Vector Int64) # basicUnsafeThaw :: PrimMonad m => Vector Int64 -> m (Mutable Vector (PrimState m) Int64) # basicLength :: Vector Int64 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Int64 -> Vector Int64 # basicUnsafeIndexM :: Monad m => Vector Int64 -> Int -> m Int64 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> Vector Int64 -> m () # elemseq :: Vector Int64 -> Int64 -> b -> b #
MVector MVector Int64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int64 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Int64 -> MVector s Int64 # basicOverlaps :: MVector s Int64 -> MVector s Int64 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int64) # basicInitialize :: PrimMonad m => MVector (PrimState m) Int64 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Int64 -> m (MVector (PrimState m) Int64) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m Int64 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> Int64 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Int64 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Int64 -> Int64 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m (MVector (PrimState m) Int64) #
data Vector Int64
Instance details Defined in Data.Vector.Unboxed.Base data Vector Int64 = V_Int64 (Vector Int64)
type ConversionError Double Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Int64 = BoundError
type ConversionError Float Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Int64 = BoundError
type ConversionError Int64 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int = BoundError
type ConversionError Int64 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int8 = BoundError
type ConversionError Int64 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int16 = BoundError
type ConversionError Int64 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Int32 = BoundError
type ConversionError Int64 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word = BoundError
type ConversionError Int64 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word8 = BoundError
type ConversionError Int64 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word16 = BoundError
type ConversionError Integer Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int64 = BoundError
type ConversionError Rational Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int64 = BoundError
type ConversionError Word64 Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int64 = BoundError
data MVector s Int64
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Int64 = MV_Int64 (MVector s Int64)

data Integer #

Invariant: Jn# and Jp# are used iff value doesn't fit in S#

Useful properties resulting from the invariants:

```
abs (S# _) <= abs (Jp# _)
```
```
abs (S# _) <  abs (Jn# _)
```

Instances

Enum Integer	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Integer -> Integer # pred :: Integer -> Integer # toEnum :: Int -> Integer # fromEnum :: Integer -> Int # enumFrom :: Integer -> [Integer] # enumFromThen :: Integer -> Integer -> [Integer] # enumFromTo :: Integer -> Integer -> [Integer] # enumFromThenTo :: Integer -> Integer -> Integer -> [Integer] #
Eq Integer
Instance details Defined in GHC.Integer.Type Methods (==) :: Integer -> Integer -> Bool # (/=) :: Integer -> Integer -> Bool #
Integral Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods quot :: Integer -> Integer -> Integer # rem :: Integer -> Integer -> Integer # div :: Integer -> Integer -> Integer # mod :: Integer -> Integer -> Integer # quotRem :: Integer -> Integer -> (Integer, Integer) # divMod :: Integer -> Integer -> (Integer, Integer) # toInteger :: Integer -> Integer #
Data Integer	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Integer -> c Integer # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Integer # toConstr :: Integer -> Constr # dataTypeOf :: Integer -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Integer) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Integer) # gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQ :: (forall d. Data d => d -> u) -> Integer -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Integer -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer #
Num Integer	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Integer -> Integer -> Integer # (-) :: Integer -> Integer -> Integer # (*) :: Integer -> Integer -> Integer # negate :: Integer -> Integer # abs :: Integer -> Integer # signum :: Integer -> Integer # fromInteger :: Integer -> Integer #
Ord Integer
Instance details Defined in GHC.Integer.Type Methods compare :: Integer -> Integer -> Ordering # (<) :: Integer -> Integer -> Bool # (<=) :: Integer -> Integer -> Bool # (>) :: Integer -> Integer -> Bool # (>=) :: Integer -> Integer -> Bool # max :: Integer -> Integer -> Integer # min :: Integer -> Integer -> Integer #
Read Integer	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Integer # readList :: ReadS [Integer] # readPrec :: ReadPrec Integer # readListPrec :: ReadPrec [Integer] #
Real Integer	Since: base-2.0.1
Instance details Defined in GHC.Real Methods toRational :: Integer -> Rational #
Show Integer	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Integer -> ShowS # show :: Integer -> String # showList :: [Integer] -> ShowS #
Ix Integer	Since: base-2.1
Instance details Defined in GHC.Arr Methods range :: (Integer, Integer) -> [Integer] # index :: (Integer, Integer) -> Integer -> Int # unsafeIndex :: (Integer, Integer) -> Integer -> Int inRange :: (Integer, Integer) -> Integer -> Bool # rangeSize :: (Integer, Integer) -> Int # unsafeRangeSize :: (Integer, Integer) -> Int
Lift Integer
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Integer -> Q Exp #
Hashable Integer
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Integer -> Int # hash :: Integer -> Int #
Default Integer
Instance details Defined in Data.Default.Class Methods def :: Integer #
NFData Integer
Instance details Defined in Control.DeepSeq Methods rnf :: Integer -> () #
KnownNat n => Reifies (n :: Nat) Integer
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> Integer #
type ConversionError Integer Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int = BoundError
type ConversionError Integer Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int8 = BoundError
type ConversionError Integer Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int16 = BoundError
type ConversionError Integer Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int32 = BoundError
type ConversionError Integer Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Int64 = BoundError
type ConversionError Integer Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word = BoundError
type ConversionError Integer Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word8 = BoundError
type ConversionError Integer Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word16 = BoundError
type ConversionError Integer Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word32 = BoundError
type ConversionError Integer Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word64 = BoundError
type ConversionError Rational Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int = BoundError
type ConversionError Rational Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int8 = BoundError
type ConversionError Rational Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int16 = BoundError
type ConversionError Rational Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int32 = BoundError
type ConversionError Rational Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Int64 = BoundError
type ConversionError Rational Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word = BoundError
type ConversionError Rational Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word8 = BoundError
type ConversionError Rational Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word16 = BoundError
type ConversionError Rational Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word32 = BoundError
type ConversionError Rational Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word64 = BoundError

type Rational = Ratio Integer #

Arbitrary-precision rational numbers, represented as a ratio of two Integer values. A rational number may be constructed using the % operator.

data Word #

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

Instances

Bounded Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods minBound :: Word # maxBound :: Word #
Enum Word	Since: base-2.1
Instance details Defined in GHC.Enum Methods succ :: Word -> Word # pred :: Word -> Word # toEnum :: Int -> Word # fromEnum :: Word -> Int # enumFrom :: Word -> [Word] # enumFromThen :: Word -> Word -> [Word] # enumFromTo :: Word -> Word -> [Word] # enumFromThenTo :: Word -> Word -> Word -> [Word] #
Eq Word
Instance details Defined in GHC.Classes Methods (==) :: Word -> Word -> Bool # (/=) :: Word -> Word -> Bool #
Integral Word	Since: base-2.1
Instance details Defined in GHC.Real Methods quot :: Word -> Word -> Word # rem :: Word -> Word -> Word # div :: Word -> Word -> Word # mod :: Word -> Word -> Word # quotRem :: Word -> Word -> (Word, Word) # divMod :: Word -> Word -> (Word, Word) # toInteger :: Word -> Integer #
Data Word	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word -> c Word # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word # toConstr :: Word -> Constr # dataTypeOf :: Word -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word) # gmapT :: (forall b. Data b => b -> b) -> Word -> Word # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r # gmapQ :: (forall d. Data d => d -> u) -> Word -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word -> m Word # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word #
Num Word	Since: base-2.1
Instance details Defined in GHC.Num Methods (+) :: Word -> Word -> Word # (-) :: Word -> Word -> Word # (*) :: Word -> Word -> Word # negate :: Word -> Word # abs :: Word -> Word # signum :: Word -> Word # fromInteger :: Integer -> Word #
Ord Word
Instance details Defined in GHC.Classes Methods compare :: Word -> Word -> Ordering # (<) :: Word -> Word -> Bool # (<=) :: Word -> Word -> Bool # (>) :: Word -> Word -> Bool # (>=) :: Word -> Word -> Bool # max :: Word -> Word -> Word # min :: Word -> Word -> Word #
Read Word	Since: base-4.5.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word # readList :: ReadS [Word] # readPrec :: ReadPrec Word # readListPrec :: ReadPrec [Word] #
Real Word	Since: base-2.1
Instance details Defined in GHC.Real Methods toRational :: Word -> Rational #
Show Word	Since: base-2.1
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Word -> ShowS # show :: Word -> String # showList :: [Word] -> ShowS #
Ix Word	Since: base-4.6.0.0
Instance details Defined in GHC.Arr Methods range :: (Word, Word) -> [Word] # index :: (Word, Word) -> Word -> Int # unsafeIndex :: (Word, Word) -> Word -> Int inRange :: (Word, Word) -> Word -> Bool # rangeSize :: (Word, Word) -> Int # unsafeRangeSize :: (Word, Word) -> Int
Lift Word
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word -> Q Exp #
Hashable Word
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word -> Int # hash :: Word -> Int #
Storable Word	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word -> Int # alignment :: Word -> Int # peekElemOff :: Ptr Word -> Int -> IO Word # pokeElemOff :: Ptr Word -> Int -> Word -> IO () # peekByteOff :: Ptr b -> Int -> IO Word # pokeByteOff :: Ptr b -> Int -> Word -> IO () # peek :: Ptr Word -> IO Word # poke :: Ptr Word -> Word -> IO () #
Default Word
Instance details Defined in Data.Default.Class Methods def :: Word #
NFData Word
Instance details Defined in Control.DeepSeq Methods rnf :: Word -> () #
Prim Word
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word -> Int# # alignment# :: Word -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word#) # writeOffAddr# :: Addr# -> Int# -> Word -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word -> State# s -> State# s #
Unbox Word
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word -> m (Vector Word) # basicUnsafeThaw :: PrimMonad m => Vector Word -> m (Mutable Vector (PrimState m) Word) # basicLength :: Vector Word -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word -> Vector Word # basicUnsafeIndexM :: Monad m => Vector Word -> Int -> m Word # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word -> Vector Word -> m () # elemseq :: Vector Word -> Word -> b -> b #
MVector MVector Word
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word -> MVector s Word # basicOverlaps :: MVector s Word -> MVector s Word -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word -> m (MVector (PrimState m) Word) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word -> Int -> m Word # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word -> Int -> Word -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word -> Word -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word -> Int -> m (MVector (PrimState m) Word) #
Generic1 (URec Word :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (URec Word) :: k -> Type # Methods from1 :: URec Word a -> Rep1 (URec Word) a # to1 :: Rep1 (URec Word) a -> URec Word a #
Functor (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> URec Word a -> URec Word b # (<$) :: a -> URec Word b -> URec Word a #
Foldable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # null :: URec Word a -> Bool # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # sum :: Num a => URec Word a -> a # product :: Num a => URec Word a -> a #
Traversable (URec Word :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec Word a -> f (URec Word b) # sequenceA :: Applicative f => URec Word (f a) -> f (URec Word a) # mapM :: Monad m => (a -> m b) -> URec Word a -> m (URec Word b) # sequence :: Monad m => URec Word (m a) -> m (URec Word a) #
Eq (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: URec Word p -> URec Word p -> Bool # (/=) :: URec Word p -> URec Word p -> Bool #
Ord (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods compare :: URec Word p -> URec Word p -> Ordering # (<) :: URec Word p -> URec Word p -> Bool # (<=) :: URec Word p -> URec Word p -> Bool # (>) :: URec Word p -> URec Word p -> Bool # (>=) :: URec Word p -> URec Word p -> Bool # max :: URec Word p -> URec Word p -> URec Word p # min :: URec Word p -> URec Word p -> URec Word p #
Show (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> URec Word p -> ShowS # show :: URec Word p -> String # showList :: [URec Word p] -> ShowS #
Generic (URec Word p)
Instance details Defined in GHC.Generics Associated Types type Rep (URec Word p) :: Type -> Type # Methods from :: URec Word p -> Rep (URec Word p) x # to :: Rep (URec Word p) x -> URec Word p #
data Vector Word
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word = V_Word (Vector Word)
data URec Word (p :: k)	Used for marking occurrences of `Word#` Since: base-4.9.0.0
Instance details Defined in GHC.Generics data URec Word (p :: k) = UWord { uWord# :: Word# }
type ConversionError Double Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word = BoundError
type ConversionError Float Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word = BoundError
type ConversionError Int64 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word = BoundError
type ConversionError Integer Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word = BoundError
type ConversionError Rational Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word = BoundError
type ConversionError Word Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int = BoundError
type ConversionError Word Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int8 = BoundError
type ConversionError Word Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int16 = BoundError
type ConversionError Word Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Int32 = BoundError
type ConversionError Word Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Word8 = BoundError
type ConversionError Word Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Word16 = BoundError
type ConversionError Word32 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word = BoundError
type ConversionError Word64 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word = BoundError
data MVector s Word
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word = MV_Word (MVector s Word)
type Rep1 (URec Word :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (URec Word :: k -> Type) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: k -> Type)))
type Rep (URec Word p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep (URec Word p) = D1 (MetaData "URec" "GHC.Generics" "base" False) (C1 (MetaCons "UWord" PrefixI True) (S1 (MetaSel (Just "uWord#") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (UWord :: Type -> Type)))

data Word8 #

8-bit unsigned integer type

Instances

Bounded Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word8 # maxBound :: Word8 #
Enum Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word8 -> Word8 # pred :: Word8 -> Word8 # toEnum :: Int -> Word8 # fromEnum :: Word8 -> Int # enumFrom :: Word8 -> [Word8] # enumFromThen :: Word8 -> Word8 -> [Word8] # enumFromTo :: Word8 -> Word8 -> [Word8] # enumFromThenTo :: Word8 -> Word8 -> Word8 -> [Word8] #
Eq Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word8 -> Word8 -> Bool # (/=) :: Word8 -> Word8 -> Bool #
Integral Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word8 -> Word8 -> Word8 # rem :: Word8 -> Word8 -> Word8 # div :: Word8 -> Word8 -> Word8 # mod :: Word8 -> Word8 -> Word8 # quotRem :: Word8 -> Word8 -> (Word8, Word8) # divMod :: Word8 -> Word8 -> (Word8, Word8) # toInteger :: Word8 -> Integer #
Data Word8	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word8 -> c Word8 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word8 # toConstr :: Word8 -> Constr # dataTypeOf :: Word8 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word8) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word8) # gmapT :: (forall b. Data b => b -> b) -> Word8 -> Word8 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word8 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word8 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word8 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word8 -> m Word8 #
Num Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word8 -> Word8 -> Word8 # (-) :: Word8 -> Word8 -> Word8 # (*) :: Word8 -> Word8 -> Word8 # negate :: Word8 -> Word8 # abs :: Word8 -> Word8 # signum :: Word8 -> Word8 # fromInteger :: Integer -> Word8 #
Ord Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word8 -> Word8 -> Ordering # (<) :: Word8 -> Word8 -> Bool # (<=) :: Word8 -> Word8 -> Bool # (>) :: Word8 -> Word8 -> Bool # (>=) :: Word8 -> Word8 -> Bool # max :: Word8 -> Word8 -> Word8 # min :: Word8 -> Word8 -> Word8 #
Read Word8	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word8 # readList :: ReadS [Word8] # readPrec :: ReadPrec Word8 # readListPrec :: ReadPrec [Word8] #
Real Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word8 -> Rational #
Show Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word8 -> ShowS # show :: Word8 -> String # showList :: [Word8] -> ShowS #
Ix Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word8, Word8) -> [Word8] # index :: (Word8, Word8) -> Word8 -> Int # unsafeIndex :: (Word8, Word8) -> Word8 -> Int inRange :: (Word8, Word8) -> Word8 -> Bool # rangeSize :: (Word8, Word8) -> Int # unsafeRangeSize :: (Word8, Word8) -> Int
Lift Word8
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word8 -> Q Exp #
Hashable Word8
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word8 -> Int # hash :: Word8 -> Int #
Storable Word8	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word8 -> Int # alignment :: Word8 -> Int # peekElemOff :: Ptr Word8 -> Int -> IO Word8 # pokeElemOff :: Ptr Word8 -> Int -> Word8 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word8 # pokeByteOff :: Ptr b -> Int -> Word8 -> IO () # peek :: Ptr Word8 -> IO Word8 # poke :: Ptr Word8 -> Word8 -> IO () #
Bits Word8	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word8 -> Word8 -> Word8 # (.\|.) :: Word8 -> Word8 -> Word8 # xor :: Word8 -> Word8 -> Word8 # complement :: Word8 -> Word8 # shift :: Word8 -> Int -> Word8 # rotate :: Word8 -> Int -> Word8 # zeroBits :: Word8 # bit :: Int -> Word8 # setBit :: Word8 -> Int -> Word8 # clearBit :: Word8 -> Int -> Word8 # complementBit :: Word8 -> Int -> Word8 # testBit :: Word8 -> Int -> Bool # bitSizeMaybe :: Word8 -> Maybe Int # bitSize :: Word8 -> Int # isSigned :: Word8 -> Bool # shiftL :: Word8 -> Int -> Word8 # unsafeShiftL :: Word8 -> Int -> Word8 # shiftR :: Word8 -> Int -> Word8 # unsafeShiftR :: Word8 -> Int -> Word8 # rotateL :: Word8 -> Int -> Word8 # rotateR :: Word8 -> Int -> Word8 # popCount :: Word8 -> Int #
FiniteBits Word8	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word8 -> Int # countLeadingZeros :: Word8 -> Int # countTrailingZeros :: Word8 -> Int #
Default Word8
Instance details Defined in Data.Default.Class Methods def :: Word8 #
NFData Word8
Instance details Defined in Control.DeepSeq Methods rnf :: Word8 -> () #
Prim Word8
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word8 -> Int# # alignment# :: Word8 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word8 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word8#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word8 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word8 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word8 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word8#) # writeOffAddr# :: Addr# -> Int# -> Word8 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word8 -> State# s -> State# s #
Unbox Word8
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> m (Vector Word8) # basicUnsafeThaw :: PrimMonad m => Vector Word8 -> m (Mutable Vector (PrimState m) Word8) # basicLength :: Vector Word8 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word8 -> Vector Word8 # basicUnsafeIndexM :: Monad m => Vector Word8 -> Int -> m Word8 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> Vector Word8 -> m () # elemseq :: Vector Word8 -> Word8 -> b -> b #
MVector MVector Word8
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word8 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word8 -> MVector s Word8 # basicOverlaps :: MVector s Word8 -> MVector s Word8 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word8) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word8 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word8 -> m (MVector (PrimState m) Word8) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m Word8 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> Word8 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word8 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word8 -> Word8 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m (MVector (PrimState m) Word8) #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) #
Cons ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Cons :: Prism ByteString ByteString (Word8, ByteString) (Word8, ByteString) #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) #
Snoc ByteString ByteString Word8 Word8
Instance details Defined in Control.Lens.Cons Methods _Snoc :: Prism ByteString ByteString (ByteString, Word8) (ByteString, Word8) #
data Vector Word8
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word8 = V_Word8 (Vector Word8)
type ConversionError Double Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word8 = BoundError
type ConversionError Float Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word8 = BoundError
type ConversionError Int Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int Word8 = BoundError
type ConversionError Int32 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int32 Word8 = BoundError
type ConversionError Int64 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word8 = BoundError
type ConversionError Integer Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word8 = BoundError
type ConversionError Rational Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word8 = BoundError
type ConversionError Word Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Word8 = BoundError
type ConversionError Word8 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word8 Int8 = BoundError
type ConversionError Word16 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Word8 = BoundError
type ConversionError Word32 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word8 = BoundError
type ConversionError Word64 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word8 = BoundError
data MVector s Word8
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word8 = MV_Word8 (MVector s Word8)

data Word16 #

16-bit unsigned integer type

Instances

Bounded Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word16 # maxBound :: Word16 #
Enum Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word16 -> Word16 # pred :: Word16 -> Word16 # toEnum :: Int -> Word16 # fromEnum :: Word16 -> Int # enumFrom :: Word16 -> [Word16] # enumFromThen :: Word16 -> Word16 -> [Word16] # enumFromTo :: Word16 -> Word16 -> [Word16] # enumFromThenTo :: Word16 -> Word16 -> Word16 -> [Word16] #
Eq Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word16 -> Word16 -> Bool # (/=) :: Word16 -> Word16 -> Bool #
Integral Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word16 -> Word16 -> Word16 # rem :: Word16 -> Word16 -> Word16 # div :: Word16 -> Word16 -> Word16 # mod :: Word16 -> Word16 -> Word16 # quotRem :: Word16 -> Word16 -> (Word16, Word16) # divMod :: Word16 -> Word16 -> (Word16, Word16) # toInteger :: Word16 -> Integer #
Data Word16	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word16 -> c Word16 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word16 # toConstr :: Word16 -> Constr # dataTypeOf :: Word16 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word16) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word16) # gmapT :: (forall b. Data b => b -> b) -> Word16 -> Word16 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word16 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word16 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word16 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word16 -> m Word16 #
Num Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word16 -> Word16 -> Word16 # (-) :: Word16 -> Word16 -> Word16 # (*) :: Word16 -> Word16 -> Word16 # negate :: Word16 -> Word16 # abs :: Word16 -> Word16 # signum :: Word16 -> Word16 # fromInteger :: Integer -> Word16 #
Ord Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word16 -> Word16 -> Ordering # (<) :: Word16 -> Word16 -> Bool # (<=) :: Word16 -> Word16 -> Bool # (>) :: Word16 -> Word16 -> Bool # (>=) :: Word16 -> Word16 -> Bool # max :: Word16 -> Word16 -> Word16 # min :: Word16 -> Word16 -> Word16 #
Read Word16	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word16 # readList :: ReadS [Word16] # readPrec :: ReadPrec Word16 # readListPrec :: ReadPrec [Word16] #
Real Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word16 -> Rational #
Show Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word16 -> ShowS # show :: Word16 -> String # showList :: [Word16] -> ShowS #
Ix Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word16, Word16) -> [Word16] # index :: (Word16, Word16) -> Word16 -> Int # unsafeIndex :: (Word16, Word16) -> Word16 -> Int inRange :: (Word16, Word16) -> Word16 -> Bool # rangeSize :: (Word16, Word16) -> Int # unsafeRangeSize :: (Word16, Word16) -> Int
Lift Word16
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word16 -> Q Exp #
Hashable Word16
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word16 -> Int # hash :: Word16 -> Int #
Storable Word16	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word16 -> Int # alignment :: Word16 -> Int # peekElemOff :: Ptr Word16 -> Int -> IO Word16 # pokeElemOff :: Ptr Word16 -> Int -> Word16 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word16 # pokeByteOff :: Ptr b -> Int -> Word16 -> IO () # peek :: Ptr Word16 -> IO Word16 # poke :: Ptr Word16 -> Word16 -> IO () #
Bits Word16	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word16 -> Word16 -> Word16 # (.\|.) :: Word16 -> Word16 -> Word16 # xor :: Word16 -> Word16 -> Word16 # complement :: Word16 -> Word16 # shift :: Word16 -> Int -> Word16 # rotate :: Word16 -> Int -> Word16 # zeroBits :: Word16 # bit :: Int -> Word16 # setBit :: Word16 -> Int -> Word16 # clearBit :: Word16 -> Int -> Word16 # complementBit :: Word16 -> Int -> Word16 # testBit :: Word16 -> Int -> Bool # bitSizeMaybe :: Word16 -> Maybe Int # bitSize :: Word16 -> Int # isSigned :: Word16 -> Bool # shiftL :: Word16 -> Int -> Word16 # unsafeShiftL :: Word16 -> Int -> Word16 # shiftR :: Word16 -> Int -> Word16 # unsafeShiftR :: Word16 -> Int -> Word16 # rotateL :: Word16 -> Int -> Word16 # rotateR :: Word16 -> Int -> Word16 # popCount :: Word16 -> Int #
FiniteBits Word16	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word16 -> Int # countLeadingZeros :: Word16 -> Int # countTrailingZeros :: Word16 -> Int #
Default Word16
Instance details Defined in Data.Default.Class Methods def :: Word16 #
NFData Word16
Instance details Defined in Control.DeepSeq Methods rnf :: Word16 -> () #
Prim Word16
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word16 -> Int# # alignment# :: Word16 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word16 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word16#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word16 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word16 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word16 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word16#) # writeOffAddr# :: Addr# -> Int# -> Word16 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word16 -> State# s -> State# s #
Unbox Word16
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> m (Vector Word16) # basicUnsafeThaw :: PrimMonad m => Vector Word16 -> m (Mutable Vector (PrimState m) Word16) # basicLength :: Vector Word16 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word16 -> Vector Word16 # basicUnsafeIndexM :: Monad m => Vector Word16 -> Int -> m Word16 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> Vector Word16 -> m () # elemseq :: Vector Word16 -> Word16 -> b -> b #
MVector MVector Word16
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word16 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word16 -> MVector s Word16 # basicOverlaps :: MVector s Word16 -> MVector s Word16 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word16) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word16 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word16 -> m (MVector (PrimState m) Word16) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m Word16 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> Word16 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word16 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word16 -> Word16 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m (MVector (PrimState m) Word16) #
data Vector Word16
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word16 = V_Word16 (Vector Word16)
type ConversionError Double Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word16 = BoundError
type ConversionError Float Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word16 = BoundError
type ConversionError Int64 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Int64 Word16 = BoundError
type ConversionError Integer Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word16 = BoundError
type ConversionError Rational Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word16 = BoundError
type ConversionError Word Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word Word16 = BoundError
type ConversionError Word16 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int = BoundError
type ConversionError Word16 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int8 = BoundError
type ConversionError Word16 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Int16 = BoundError
type ConversionError Word16 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word16 Word8 = BoundError
type ConversionError Word32 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word16 = BoundError
type ConversionError Word64 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word16 = BoundError
data MVector s Word16
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word16 = MV_Word16 (MVector s Word16)

data Word32 #

32-bit unsigned integer type

Instances

Bounded Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word32 # maxBound :: Word32 #
Enum Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word32 -> Word32 # pred :: Word32 -> Word32 # toEnum :: Int -> Word32 # fromEnum :: Word32 -> Int # enumFrom :: Word32 -> [Word32] # enumFromThen :: Word32 -> Word32 -> [Word32] # enumFromTo :: Word32 -> Word32 -> [Word32] # enumFromThenTo :: Word32 -> Word32 -> Word32 -> [Word32] #
Eq Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word32 -> Word32 -> Bool # (/=) :: Word32 -> Word32 -> Bool #
Integral Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word32 -> Word32 -> Word32 # rem :: Word32 -> Word32 -> Word32 # div :: Word32 -> Word32 -> Word32 # mod :: Word32 -> Word32 -> Word32 # quotRem :: Word32 -> Word32 -> (Word32, Word32) # divMod :: Word32 -> Word32 -> (Word32, Word32) # toInteger :: Word32 -> Integer #
Data Word32	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word32 -> c Word32 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word32 # toConstr :: Word32 -> Constr # dataTypeOf :: Word32 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word32) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word32) # gmapT :: (forall b. Data b => b -> b) -> Word32 -> Word32 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word32 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word32 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word32 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word32 -> m Word32 #
Num Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word32 -> Word32 -> Word32 # (-) :: Word32 -> Word32 -> Word32 # (*) :: Word32 -> Word32 -> Word32 # negate :: Word32 -> Word32 # abs :: Word32 -> Word32 # signum :: Word32 -> Word32 # fromInteger :: Integer -> Word32 #
Ord Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word32 -> Word32 -> Ordering # (<) :: Word32 -> Word32 -> Bool # (<=) :: Word32 -> Word32 -> Bool # (>) :: Word32 -> Word32 -> Bool # (>=) :: Word32 -> Word32 -> Bool # max :: Word32 -> Word32 -> Word32 # min :: Word32 -> Word32 -> Word32 #
Read Word32	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word32 # readList :: ReadS [Word32] # readPrec :: ReadPrec Word32 # readListPrec :: ReadPrec [Word32] #
Real Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word32 -> Rational #
Show Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word32 -> ShowS # show :: Word32 -> String # showList :: [Word32] -> ShowS #
Ix Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word32, Word32) -> [Word32] # index :: (Word32, Word32) -> Word32 -> Int # unsafeIndex :: (Word32, Word32) -> Word32 -> Int inRange :: (Word32, Word32) -> Word32 -> Bool # rangeSize :: (Word32, Word32) -> Int # unsafeRangeSize :: (Word32, Word32) -> Int
Lift Word32
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word32 -> Q Exp #
Hashable Word32
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word32 -> Int # hash :: Word32 -> Int #
Storable Word32	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word32 -> Int # alignment :: Word32 -> Int # peekElemOff :: Ptr Word32 -> Int -> IO Word32 # pokeElemOff :: Ptr Word32 -> Int -> Word32 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word32 # pokeByteOff :: Ptr b -> Int -> Word32 -> IO () # peek :: Ptr Word32 -> IO Word32 # poke :: Ptr Word32 -> Word32 -> IO () #
Bits Word32	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word32 -> Word32 -> Word32 # (.\|.) :: Word32 -> Word32 -> Word32 # xor :: Word32 -> Word32 -> Word32 # complement :: Word32 -> Word32 # shift :: Word32 -> Int -> Word32 # rotate :: Word32 -> Int -> Word32 # zeroBits :: Word32 # bit :: Int -> Word32 # setBit :: Word32 -> Int -> Word32 # clearBit :: Word32 -> Int -> Word32 # complementBit :: Word32 -> Int -> Word32 # testBit :: Word32 -> Int -> Bool # bitSizeMaybe :: Word32 -> Maybe Int # bitSize :: Word32 -> Int # isSigned :: Word32 -> Bool # shiftL :: Word32 -> Int -> Word32 # unsafeShiftL :: Word32 -> Int -> Word32 # shiftR :: Word32 -> Int -> Word32 # unsafeShiftR :: Word32 -> Int -> Word32 # rotateL :: Word32 -> Int -> Word32 # rotateR :: Word32 -> Int -> Word32 # popCount :: Word32 -> Int #
FiniteBits Word32	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word32 -> Int # countLeadingZeros :: Word32 -> Int # countTrailingZeros :: Word32 -> Int #
Default Word32
Instance details Defined in Data.Default.Class Methods def :: Word32 #
NFData Word32
Instance details Defined in Control.DeepSeq Methods rnf :: Word32 -> () #
Prim Word32
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word32 -> Int# # alignment# :: Word32 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word32 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word32#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word32 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word32 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word32 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word32#) # writeOffAddr# :: Addr# -> Int# -> Word32 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word32 -> State# s -> State# s #
Unbox Word32
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> m (Vector Word32) # basicUnsafeThaw :: PrimMonad m => Vector Word32 -> m (Mutable Vector (PrimState m) Word32) # basicLength :: Vector Word32 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word32 -> Vector Word32 # basicUnsafeIndexM :: Monad m => Vector Word32 -> Int -> m Word32 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> Vector Word32 -> m () # elemseq :: Vector Word32 -> Word32 -> b -> b #
MVector MVector Word32
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word32 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word32 -> MVector s Word32 # basicOverlaps :: MVector s Word32 -> MVector s Word32 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word32) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word32 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word32 -> m (MVector (PrimState m) Word32) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m Word32 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> Word32 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word32 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word32 -> Word32 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m (MVector (PrimState m) Word32) #
data Vector Word32
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word32 = V_Word32 (Vector Word32)
type ConversionError Double Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word32 = BoundError
type ConversionError Float Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word32 = BoundError
type ConversionError Integer Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word32 = BoundError
type ConversionError Rational Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word32 = BoundError
type ConversionError Word32 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int = BoundError
type ConversionError Word32 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int8 = BoundError
type ConversionError Word32 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int16 = BoundError
type ConversionError Word32 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Int32 = BoundError
type ConversionError Word32 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word = BoundError
type ConversionError Word32 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word8 = BoundError
type ConversionError Word32 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word32 Word16 = BoundError
type ConversionError Word64 Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word32 = BoundError
data MVector s Word32
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word32 = MV_Word32 (MVector s Word32)

data Word64 #

64-bit unsigned integer type

Instances

Bounded Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods minBound :: Word64 # maxBound :: Word64 #
Enum Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods succ :: Word64 -> Word64 # pred :: Word64 -> Word64 # toEnum :: Int -> Word64 # fromEnum :: Word64 -> Int # enumFrom :: Word64 -> [Word64] # enumFromThen :: Word64 -> Word64 -> [Word64] # enumFromTo :: Word64 -> Word64 -> [Word64] # enumFromThenTo :: Word64 -> Word64 -> Word64 -> [Word64] #
Eq Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (==) :: Word64 -> Word64 -> Bool # (/=) :: Word64 -> Word64 -> Bool #
Integral Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods quot :: Word64 -> Word64 -> Word64 # rem :: Word64 -> Word64 -> Word64 # div :: Word64 -> Word64 -> Word64 # mod :: Word64 -> Word64 -> Word64 # quotRem :: Word64 -> Word64 -> (Word64, Word64) # divMod :: Word64 -> Word64 -> (Word64, Word64) # toInteger :: Word64 -> Integer #
Data Word64	Since: base-4.0.0.0
Instance details Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word64 -> c Word64 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word64 # toConstr :: Word64 -> Constr # dataTypeOf :: Word64 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word64) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word64) # gmapT :: (forall b. Data b => b -> b) -> Word64 -> Word64 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word64 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word64 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word64 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word64 -> m Word64 #
Num Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (+) :: Word64 -> Word64 -> Word64 # (-) :: Word64 -> Word64 -> Word64 # (*) :: Word64 -> Word64 -> Word64 # negate :: Word64 -> Word64 # abs :: Word64 -> Word64 # signum :: Word64 -> Word64 # fromInteger :: Integer -> Word64 #
Ord Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods compare :: Word64 -> Word64 -> Ordering # (<) :: Word64 -> Word64 -> Bool # (<=) :: Word64 -> Word64 -> Bool # (>) :: Word64 -> Word64 -> Bool # (>=) :: Word64 -> Word64 -> Bool # max :: Word64 -> Word64 -> Word64 # min :: Word64 -> Word64 -> Word64 #
Read Word64	Since: base-2.1
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Word64 # readList :: ReadS [Word64] # readPrec :: ReadPrec Word64 # readListPrec :: ReadPrec [Word64] #
Real Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods toRational :: Word64 -> Rational #
Show Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods showsPrec :: Int -> Word64 -> ShowS # show :: Word64 -> String # showList :: [Word64] -> ShowS #
Ix Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods range :: (Word64, Word64) -> [Word64] # index :: (Word64, Word64) -> Word64 -> Int # unsafeIndex :: (Word64, Word64) -> Word64 -> Int inRange :: (Word64, Word64) -> Word64 -> Bool # rangeSize :: (Word64, Word64) -> Int # unsafeRangeSize :: (Word64, Word64) -> Int
Lift Word64
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Word64 -> Q Exp #
Hashable Word64
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Word64 -> Int # hash :: Word64 -> Int #
Storable Word64	Since: base-2.1
Instance details Defined in Foreign.Storable Methods sizeOf :: Word64 -> Int # alignment :: Word64 -> Int # peekElemOff :: Ptr Word64 -> Int -> IO Word64 # pokeElemOff :: Ptr Word64 -> Int -> Word64 -> IO () # peekByteOff :: Ptr b -> Int -> IO Word64 # pokeByteOff :: Ptr b -> Int -> Word64 -> IO () # peek :: Ptr Word64 -> IO Word64 # poke :: Ptr Word64 -> Word64 -> IO () #
Bits Word64	Since: base-2.1
Instance details Defined in GHC.Word Methods (.&.) :: Word64 -> Word64 -> Word64 # (.\|.) :: Word64 -> Word64 -> Word64 # xor :: Word64 -> Word64 -> Word64 # complement :: Word64 -> Word64 # shift :: Word64 -> Int -> Word64 # rotate :: Word64 -> Int -> Word64 # zeroBits :: Word64 # bit :: Int -> Word64 # setBit :: Word64 -> Int -> Word64 # clearBit :: Word64 -> Int -> Word64 # complementBit :: Word64 -> Int -> Word64 # testBit :: Word64 -> Int -> Bool # bitSizeMaybe :: Word64 -> Maybe Int # bitSize :: Word64 -> Int # isSigned :: Word64 -> Bool # shiftL :: Word64 -> Int -> Word64 # unsafeShiftL :: Word64 -> Int -> Word64 # shiftR :: Word64 -> Int -> Word64 # unsafeShiftR :: Word64 -> Int -> Word64 # rotateL :: Word64 -> Int -> Word64 # rotateR :: Word64 -> Int -> Word64 # popCount :: Word64 -> Int #
FiniteBits Word64	Since: base-4.6.0.0
Instance details Defined in GHC.Word Methods finiteBitSize :: Word64 -> Int # countLeadingZeros :: Word64 -> Int # countTrailingZeros :: Word64 -> Int #
Default Word64
Instance details Defined in Data.Default.Class Methods def :: Word64 #
NFData Word64
Instance details Defined in Control.DeepSeq Methods rnf :: Word64 -> () #
Prim Word64
Instance details Defined in Data.Primitive.Types Methods sizeOf# :: Word64 -> Int# # alignment# :: Word64 -> Int# # indexByteArray# :: ByteArray# -> Int# -> Word64 # readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (#State# s, Word64#) # writeByteArray# :: MutableByteArray# s -> Int# -> Word64 -> State# s -> State# s # setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Word64 -> State# s -> State# s # indexOffAddr# :: Addr# -> Int# -> Word64 # readOffAddr# :: Addr# -> Int# -> State# s -> (#State# s, Word64#) # writeOffAddr# :: Addr# -> Int# -> Word64 -> State# s -> State# s # setOffAddr# :: Addr# -> Int# -> Int# -> Word64 -> State# s -> State# s #
Unbox Word64
Instance details Defined in Data.Vector.Unboxed.Base
Vector Vector Word64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> m (Vector Word64) # basicUnsafeThaw :: PrimMonad m => Vector Word64 -> m (Mutable Vector (PrimState m) Word64) # basicLength :: Vector Word64 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Word64 -> Vector Word64 # basicUnsafeIndexM :: Monad m => Vector Word64 -> Int -> m Word64 # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> Vector Word64 -> m () # elemseq :: Vector Word64 -> Word64 -> b -> b #
MVector MVector Word64
Instance details Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word64 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Word64 -> MVector s Word64 # basicOverlaps :: MVector s Word64 -> MVector s Word64 -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word64) # basicInitialize :: PrimMonad m => MVector (PrimState m) Word64 -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Word64 -> m (MVector (PrimState m) Word64) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m Word64 # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> Word64 -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Word64 -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Word64 -> Word64 -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m (MVector (PrimState m) Word64) #
data Vector Word64
Instance details Defined in Data.Vector.Unboxed.Base data Vector Word64 = V_Word64 (Vector Word64)
type ConversionError Double Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Double Word64 = BoundError
type ConversionError Float Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Float Word64 = BoundError
type ConversionError Integer Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Integer Word64 = BoundError
type ConversionError Rational Word64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Rational Word64 = BoundError
type ConversionError Word64 Int
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int = BoundError
type ConversionError Word64 Int8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int8 = BoundError
type ConversionError Word64 Int16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int16 = BoundError
type ConversionError Word64 Int32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int32 = BoundError
type ConversionError Word64 Int64
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Int64 = BoundError
type ConversionError Word64 Word
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word = BoundError
type ConversionError Word64 Word8
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word8 = BoundError
type ConversionError Word64 Word16
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word16 = BoundError
type ConversionError Word64 Word32
Instance details Defined in Data.Convert.Instances.TH type ConversionError Word64 Word32 = BoundError
data MVector s Word64
Instance details Defined in Data.Vector.Unboxed.Base data MVector s Word64 = MV_Word64 (MVector s Word64)

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

lcm x y is the smallest positive integer that both x and y divide.

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

gcd x y is the non-negative factor of both x and y of which every common factor of x and y is also a factor; for example gcd 4 2 = 2, gcd (-4) 6 = 2, gcd 0 4 = 4. gcd 0 0 = 0. (That is, the common divisor that is "greatest" in the divisibility preordering.)

Note: Since for signed fixed-width integer types, abs minBound < 0, the result may be negative if one of the arguments is minBound (and necessarily is if the other is 0 or minBound) for such types.

(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #

raise a number to an integral power

(^) :: (Num a, Integral b) => a -> b -> a infixr 8 #

raise a number to a non-negative integral power

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

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

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

the same as flip (-).

Because - is treated specially in the Haskell grammar, (- e) is not a section, but an application of prefix negation. However, (subtract exp) is equivalent to the disallowed section.