GHC.Float

The types Float and Double, the classes Floating and RealFloat and casting between Word32 and Float and Word64 and Double.

Documentation

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

log1p :: a -> a

log1p x computes log (1 + x), but provides more precise results for small (absolute) values of x if possible.

Since: base-4.9.0.0

expm1 :: a -> a

expm1 x computes exp x - 1, but provides more precise results for small (absolute) values of x if possible.

Since: base-4.9.0.0

log1pexp :: a -> a

log1pexp x computes log (1 + exp x), but provides more precise results if possible.

Examples:

• if x is a large negative number, log (1 + exp x) will be imprecise for the reasons given in log1p.
• if exp x is close to -1, log (1 + exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

log1mexp :: a -> a

log1mexp x computes log (1 - exp x), but provides more precise results if possible.

Examples:

• if x is a large negative number, log (1 - exp x) will be imprecise for the reasons given in log1p.
• if exp x is close to 1, log (1 - exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

Instances

Floating CDouble

Defined in Foreign.C.Types

Methods

pi :: CDouble

exp :: CDouble -> CDouble

log :: CDouble -> CDouble

sqrt :: CDouble -> CDouble

(**) :: CDouble -> CDouble -> CDouble

logBase :: CDouble -> CDouble -> CDouble

sin :: CDouble -> CDouble

cos :: CDouble -> CDouble

tan :: CDouble -> CDouble

asin :: CDouble -> CDouble

acos :: CDouble -> CDouble

atan :: CDouble -> CDouble

sinh :: CDouble -> CDouble

cosh :: CDouble -> CDouble

tanh :: CDouble -> CDouble

asinh :: CDouble -> CDouble

acosh :: CDouble -> CDouble

atanh :: CDouble -> CDouble

log1p :: CDouble -> CDouble

expm1 :: CDouble -> CDouble

log1pexp :: CDouble -> CDouble

log1mexp :: CDouble -> CDouble

Floating CFloat

Defined in Foreign.C.Types

Methods

pi :: CFloat

exp :: CFloat -> CFloat

log :: CFloat -> CFloat

sqrt :: CFloat -> CFloat

(**) :: CFloat -> CFloat -> CFloat

logBase :: CFloat -> CFloat -> CFloat

sin :: CFloat -> CFloat

cos :: CFloat -> CFloat

tan :: CFloat -> CFloat

asin :: CFloat -> CFloat

acos :: CFloat -> CFloat

atan :: CFloat -> CFloat

sinh :: CFloat -> CFloat

cosh :: CFloat -> CFloat

tanh :: CFloat -> CFloat

asinh :: CFloat -> CFloat

acosh :: CFloat -> CFloat

atanh :: CFloat -> CFloat

log1p :: CFloat -> CFloat

expm1 :: CFloat -> CFloat

log1pexp :: CFloat -> CFloat

log1mexp :: CFloat -> CFloat

Floating Double

Since: base-2.1

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

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

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

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 (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

pi :: Down a

exp :: Down a -> Down a

log :: Down a -> Down a

sqrt :: Down a -> Down a

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

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

sin :: Down a -> Down a

cos :: Down a -> Down a

tan :: Down a -> Down a

asin :: Down a -> Down a

acos :: Down a -> Down a

atan :: Down a -> Down a

sinh :: Down a -> Down a

cosh :: Down a -> Down a

tanh :: Down a -> Down a

asinh :: Down a -> Down a

acosh :: Down a -> Down a

atanh :: Down a -> Down a

log1p :: Down a -> Down a

expm1 :: Down a -> Down a

log1pexp :: Down a -> Down a

log1mexp :: Down a -> Down a

Floating a => Floating (Op a b)

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

Defined in Data.Functor.Const

Methods

pi :: Const a b

exp :: Const a b -> Const a b

log :: Const a b -> Const a b

sqrt :: Const a b -> Const a b

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

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

sin :: Const a b -> Const a b

cos :: Const a b -> Const a b

tan :: Const a b -> Const a b

asin :: Const a b -> Const a b

acos :: Const a b -> Const a b

atan :: Const a b -> Const a b

sinh :: Const a b -> Const a b

cosh :: Const a b -> Const a b

tanh :: Const a b -> Const a b

asinh :: Const a b -> Const a b

acosh :: Const a b -> Const a b

atanh :: Const a b -> Const a b

log1p :: Const a b -> Const a b

expm1 :: Const a b -> Const a b

log1pexp :: Const a b -> Const a b

log1mexp :: Const a b -> Const a b

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

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 CDouble

Defined in Foreign.C.Types

Methods

floatRadix :: CDouble -> Integer

floatDigits :: CDouble -> Int

floatRange :: CDouble -> (Int, Int)

decodeFloat :: CDouble -> (Integer, Int)

encodeFloat :: Integer -> Int -> CDouble

exponent :: CDouble -> Int

significand :: CDouble -> CDouble

scaleFloat :: Int -> CDouble -> CDouble

isNaN :: CDouble -> Bool

isInfinite :: CDouble -> Bool

isDenormalized :: CDouble -> Bool

isNegativeZero :: CDouble -> Bool

isIEEE :: CDouble -> Bool

atan2 :: CDouble -> CDouble -> CDouble

RealFloat CFloat

Defined in Foreign.C.Types

Methods

floatRadix :: CFloat -> Integer

floatDigits :: CFloat -> Int

floatRange :: CFloat -> (Int, Int)

decodeFloat :: CFloat -> (Integer, Int)

encodeFloat :: Integer -> Int -> CFloat

exponent :: CFloat -> Int

significand :: CFloat -> CFloat

scaleFloat :: Int -> CFloat -> CFloat

isNaN :: CFloat -> Bool

isInfinite :: CFloat -> Bool

isDenormalized :: CFloat -> Bool

isNegativeZero :: CFloat -> Bool

isIEEE :: CFloat -> Bool

atan2 :: CFloat -> CFloat -> CFloat

RealFloat Double

Since: base-2.1

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

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

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 (Down a)

Since: base-4.14.0.0

Defined in Data.Ord

Methods

floatRadix :: Down a -> Integer

floatDigits :: Down a -> Int

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

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

encodeFloat :: Integer -> Int -> Down a

exponent :: Down a -> Int

significand :: Down a -> Down a

scaleFloat :: Int -> Down a -> Down a

isNaN :: Down a -> Bool

isInfinite :: Down a -> Bool

isDenormalized :: Down a -> Bool

isNegativeZero :: Down a -> Bool

isIEEE :: Down a -> Bool

atan2 :: Down a -> Down a -> Down a

RealFloat a => RealFloat (Const a b)

Since: base-4.9.0.0

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

data FFFormat

Constructors

FFExponent

FFFixed

FFGeneric

clamp :: Int -> Int -> Int

Used to prevent exponent over/underflow when encoding floating point numbers. This is also the same as

\(x,y) -> max (-x) (min x y)

Example

>>> clamp (-10) 5
10

showFloat :: RealFloat a => a -> ShowS

Show a signed RealFloat value to full precision using standard decimal notation for arguments whose absolute value lies between 0.1 and 9,999,999, and scientific notation otherwise.

floatToDigits :: RealFloat a => Integer -> a -> ([Int], Int)

floatToDigits takes a base and a non-negative RealFloat number, and returns a list of digits and an exponent. In particular, if x>=0, and

floatToDigits base x = ([d1,d2,...,dn], e)

then

1. n >= 1

2. x = 0.d1d2...dn * (base**e)

3. 0 <= di <= base-1

fromRat :: RealFloat a => Rational -> a

Converts a Rational value into any type in class RealFloat.

formatRealFloat :: RealFloat a => FFFormat -> Maybe Int -> a -> String

log1mexpOrd :: (Ord a, Floating a) => a -> a

Default implementation for log1mexp requiring Ord to test against a threshold to decide which implementation variant to use.

plusFloat :: Float -> Float -> Float

minusFloat :: Float -> Float -> Float

negateFloat :: Float -> Float

timesFloat :: Float -> Float -> Float

fabsFloat :: Float -> Float

integerToFloat# :: Integer -> Float#

Convert an Integer to a Float#

integerToBinaryFloat' :: RealFloat a => Integer -> a

Converts a positive integer to a floating-point value.

The value nearest to the argument will be returned. If there are two such values, the one with an even significand will be returned (i.e. IEEE roundTiesToEven).

The argument must be strictly positive, and floatRadix (undefined :: a) must be 2.

naturalToFloat# :: Natural -> Float#

Convert a Natural to a Float#

divideFloat :: Float -> Float -> Float

rationalToFloat :: Integer -> Integer -> Float

fromRat'' :: RealFloat a => Int -> Int -> Integer -> Integer -> a

properFractionFloat :: Integral b => Float -> (b, Float)

truncateFloat :: Integral b => Float -> b

roundFloat :: Integral b => Float -> b

floorFloat :: Integral b => Float -> b

ceilingFloat :: Integral b => Float -> b

expFloat :: Float -> Float

logFloat :: Float -> Float

sqrtFloat :: Float -> Float

sinFloat :: Float -> Float

cosFloat :: Float -> Float

tanFloat :: Float -> Float

asinFloat :: Float -> Float

acosFloat :: Float -> Float

atanFloat :: Float -> Float

sinhFloat :: Float -> Float

coshFloat :: Float -> Float

tanhFloat :: Float -> Float

powerFloat :: Float -> Float -> Float

asinhFloat :: Float -> Float

acoshFloat :: Float -> Float

atanhFloat :: Float -> Float

log1pFloat :: Float -> Float

expm1Float :: Float -> Float

isFloatFinite :: Float -> Int

isFloatNaN :: Float -> Int

isFloatInfinite :: Float -> Int

isFloatDenormalized :: Float -> Int

isFloatNegativeZero :: Float -> Int

showSignedFloat

Arguments

:: RealFloat a

=> (a -> ShowS)

a function that can show unsigned values

-> Int

the precedence of the enclosing context

-> a

the value to show

-> ShowS

plusDouble :: Double -> Double -> Double

minusDouble :: Double -> Double -> Double

negateDouble :: Double -> Double

timesDouble :: Double -> Double -> Double

fabsDouble :: Double -> Double

integerToDouble# :: Integer -> Double#

Convert an Integer to a Double#

naturalToDouble# :: Natural -> Double#

Encode a Natural (mantissa) into a Double#

divideDouble :: Double -> Double -> Double

rationalToDouble :: Integer -> Integer -> Double

expDouble :: Double -> Double

logDouble :: Double -> Double

sqrtDouble :: Double -> Double

sinDouble :: Double -> Double

cosDouble :: Double -> Double

tanDouble :: Double -> Double

asinDouble :: Double -> Double

acosDouble :: Double -> Double

atanDouble :: Double -> Double

sinhDouble :: Double -> Double

coshDouble :: Double -> Double

tanhDouble :: Double -> Double

powerDouble :: Double -> Double -> Double

asinhDouble :: Double -> Double

acoshDouble :: Double -> Double

atanhDouble :: Double -> Double

log1pDouble :: Double -> Double

expm1Double :: Double -> Double

properFractionDouble :: Integral b => Double -> (b, Double)

truncateDouble :: Integral b => Double -> b

roundDouble :: Integral b => Double -> b

ceilingDouble :: Integral b => Double -> b

floorDouble :: Integral b => Double -> b

isDoubleFinite :: Double -> Int

isDoubleNaN :: Double -> Int

isDoubleInfinite :: Double -> Int

isDoubleDenormalized :: Double -> Int

isDoubleNegativeZero :: Double -> Int

formatRealFloatAlt :: RealFloat a => FFFormat -> Maybe Int -> Bool -> a -> String

roundTo :: Int -> Int -> [Int] -> (Int, [Int])

expt :: Integer -> Int -> Integer

roundingMode# :: Integer -> Int# -> Int#

fromRat' :: RealFloat a => Rational -> a

minExpt :: Int

maxExpt :: Int

expts :: Array Int Integer

maxExpt10 :: Int

expts10 :: Array Int Integer

gtFloat :: Float -> Float -> Bool

geFloat :: Float -> Float -> Bool

ltFloat :: Float -> Float -> Bool

leFloat :: Float -> Float -> Bool

gtDouble :: Double -> Double -> Bool

geDouble :: Double -> Double -> Bool

leDouble :: Double -> Double -> Bool

ltDouble :: Double -> Double -> Bool

double2Float :: Double -> Float

float2Double :: Float -> Double

word2Double :: Word -> Double

word2Float :: Word -> Float

castWord32ToFloat :: Word32 -> Float

castWord32ToFloat w does a bit-for-bit copy from an integral value to a floating-point value.

Since: base-4.11.0.0

stgWord32ToFloat :: Word32# -> Float#

castFloatToWord32 :: Float -> Word32

castFloatToWord32 f does a bit-for-bit copy from a floating-point value to an integral value.

Since: base-4.11.0.0

stgFloatToWord32 :: Float# -> Word32#

castWord64ToDouble :: Word64 -> Double

castWord64ToDouble w does a bit-for-bit copy from an integral value to a floating-point value.

Since: base-4.11.0.0

stgWord64ToDouble :: Word64# -> Double#

castDoubleToWord64 :: Double -> Word64

castFloatToWord64 f does a bit-for-bit copy from a floating-point value to an integral value.

Since: base-4.11.0.0

stgDoubleToWord64 :: Double# -> Word64#

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.

Constructors

F# Float#

Instances

Data Float

Since: base-4.0.0.0

Defined in Data.Data

Methods

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

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

toConstr :: Float -> Constr

dataTypeOf :: Float -> DataType

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

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

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

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

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

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

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

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

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

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

Storable Float

Since: base-2.1

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 ()

Enum Float

Since: base-2.1

Defined in GHC.Float

Methods

succ :: Float -> Float

pred :: Float -> Float

toEnum :: Int -> Float

fromEnum :: Float -> Int

enumFrom :: Float -> [Float]

enumFromThen :: Float -> Float -> [Float]

enumFromTo :: Float -> Float -> [Float]

enumFromThenTo :: Float -> Float -> Float -> [Float]

Floating Float

Since: base-2.1

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 Float

Since: base-2.1

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

Num Float

Note that due to the presence of NaN, not all elements of Float have an additive inverse.

>>> 0/0 + (negate 0/0 :: Float)
NaN

Also note that due to the presence of -0, Float's Num instance doesn't have an additive identity

>>> 0 + (-0 :: Float)
0.0

Since: base-2.1

Defined in GHC.Float

Methods

(+) :: Float -> Float -> Float

(-) :: Float -> Float -> Float

(*) :: Float -> Float -> Float

negate :: Float -> Float

abs :: Float -> Float

signum :: Float -> Float

fromInteger :: Integer -> Float

Read Float

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Float

readList :: ReadS [Float]

readPrec :: ReadPrec Float

readListPrec :: ReadPrec [Float]

Fractional Float

Note that due to the presence of NaN, not all elements of Float have an multiplicative inverse.

>>> 0/0 * (recip 0/0 :: Float)
NaN

Since: base-2.1

Defined in GHC.Float

Methods

(/) :: Float -> Float -> Float

recip :: Float -> Float

fromRational :: Rational -> Float

Real Float

Since: base-2.1

Defined in GHC.Float

Methods

toRational :: Float -> Rational

RealFrac Float

Since: base-2.1

Defined in GHC.Float

Methods

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

truncate :: Integral b => Float -> b

round :: Integral b => Float -> b

ceiling :: Integral b => Float -> b

floor :: Integral b => Float -> b

Show Float

Since: base-2.1

Defined in GHC.Float

Methods

showsPrec :: Int -> Float -> ShowS

show :: Float -> String

showList :: [Float] -> ShowS

PrintfArg Float

Since: base-2.1

Defined in Text.Printf

Methods

formatArg :: Float -> FieldFormatter

parseFormat :: Float -> ModifierParser

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 extensionality:

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

Defined in GHC.Classes

Methods

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

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

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

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

Generic1 (URec Float :: k -> Type)

Defined in GHC.Generics

Associated Types

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

Methods

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

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

Foldable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

toList :: UFloat a -> [a]

null :: UFloat a -> Bool

length :: UFloat a -> Int

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

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

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

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

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

Traversable (UFloat :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

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

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

Generic (URec Float p)

Defined in GHC.Generics

Associated Types

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

Methods

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

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

Show (URec Float p)

Defined in GHC.Generics

Methods

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

show :: URec Float p -> String

showList :: [URec Float p] -> ShowS

Eq (URec Float p)

Defined in GHC.Generics

Methods

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

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

Ord (URec Float p)

Defined in GHC.Generics

Methods

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

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

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

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

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

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

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

data URec Float (p :: k)

Used for marking occurrences of Float#

Since: base-4.9.0.0

Defined in GHC.Generics

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

• uFloat# :: Float#

}

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

Since: base-4.9.0.0

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)

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 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.

Constructors

D# Double#

Instances

Data Double

Since: base-4.0.0.0

Defined in Data.Data

Methods

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

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

toConstr :: Double -> Constr

dataTypeOf :: Double -> DataType

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

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

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

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

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

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

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

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

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

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

Storable Double

Since: base-2.1

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 ()

Enum Double

Since: base-2.1

Defined in GHC.Float

Methods

succ :: Double -> Double

pred :: Double -> Double

toEnum :: Int -> Double

fromEnum :: Double -> Int

enumFrom :: Double -> [Double]

enumFromThen :: Double -> Double -> [Double]

enumFromTo :: Double -> Double -> [Double]

enumFromThenTo :: Double -> Double -> Double -> [Double]

Floating Double

Since: base-2.1

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

RealFloat Double

Since: base-2.1

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

Num Double

Note that due to the presence of NaN, not all elements of Double have an additive inverse.

>>> 0/0 + (negate 0/0 :: Double)
NaN

Also note that due to the presence of -0, Double's Num instance doesn't have an additive identity

>>> 0 + (-0 :: Double)
0.0

Since: base-2.1

Defined in GHC.Float

Methods

(+) :: Double -> Double -> Double

(-) :: Double -> Double -> Double

(*) :: Double -> Double -> Double

negate :: Double -> Double

abs :: Double -> Double

signum :: Double -> Double

fromInteger :: Integer -> Double

Read Double

Since: base-2.1

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Double

readList :: ReadS [Double]

readPrec :: ReadPrec Double

readListPrec :: ReadPrec [Double]

Fractional Double

Note that due to the presence of NaN, not all elements of Double have an multiplicative inverse.

>>> 0/0 * (recip 0/0 :: Double)
NaN

Since: base-2.1

Defined in GHC.Float

Methods

(/) :: Double -> Double -> Double

recip :: Double -> Double

fromRational :: Rational -> Double

Real Double

Since: base-2.1

Defined in GHC.Float

Methods

toRational :: Double -> Rational

RealFrac Double

Since: base-2.1

Defined in GHC.Float

Methods

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

truncate :: Integral b => Double -> b

round :: Integral b => Double -> b

ceiling :: Integral b => Double -> b

floor :: Integral b => Double -> b

Show Double

Since: base-2.1

Defined in GHC.Float

Methods

showsPrec :: Int -> Double -> ShowS

show :: Double -> String

showList :: [Double] -> ShowS

PrintfArg Double

Since: base-2.1

Defined in Text.Printf

Methods

formatArg :: Double -> FieldFormatter

parseFormat :: Double -> ModifierParser

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

Defined in GHC.Classes

Methods

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

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

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

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

Generic1 (URec Double :: k -> Type)

Defined in GHC.Generics

Associated Types

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

Methods

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

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

Foldable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Foldable

Methods

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

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

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

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

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

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

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

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

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

toList :: UDouble a -> [a]

null :: UDouble a -> Bool

length :: UDouble a -> Int

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

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

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

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

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

Traversable (UDouble :: Type -> Type)

Since: base-4.9.0.0

Defined in Data.Traversable

Methods

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

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

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

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

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

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

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

Generic (URec Double p)

Defined in GHC.Generics

Associated Types

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

Methods

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

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

Show (URec Double p)

Since: base-4.9.0.0

Defined in GHC.Generics

Methods

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

show :: URec Double p -> String

showList :: [URec Double p] -> ShowS

Eq (URec Double p)

Since: base-4.9.0.0

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

Defined in GHC.Generics

Methods

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

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

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

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

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

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

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

data URec Double (p :: k)

Used for marking occurrences of Double#

Since: base-4.9.0.0

Defined in GHC.Generics

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

• uDouble# :: Double#

}

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

Since: base-4.9.0.0

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

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# :: TYPE 'FloatRep

data Double# :: TYPE 'DoubleRep

double2Int :: Double -> Int

int2Double :: Int -> Double

float2Int :: Float -> Int

int2Float :: Int -> Float

Monomorphic equality operators

See GHC.Classes#matching_overloaded_methods_in_rules

eqFloat :: Float -> Float -> Bool

eqDouble :: Double -> Double -> Bool

Orphan instances

Enum Double

Since: base-2.1

Methods

succ :: Double -> Double

pred :: Double -> Double

toEnum :: Int -> Double

fromEnum :: Double -> Int

enumFrom :: Double -> [Double]

enumFromThen :: Double -> Double -> [Double]

enumFromTo :: Double -> Double -> [Double]

enumFromThenTo :: Double -> Double -> Double -> [Double]

Enum Float

Since: base-2.1

Methods

succ :: Float -> Float

pred :: Float -> Float

toEnum :: Int -> Float

fromEnum :: Float -> Int

enumFrom :: Float -> [Float]

enumFromThen :: Float -> Float -> [Float]

enumFromTo :: Float -> Float -> [Float]

enumFromThenTo :: Float -> Float -> Float -> [Float]

Num Double

Note that due to the presence of NaN, not all elements of Double have an additive inverse.

>>> 0/0 + (negate 0/0 :: Double)
NaN

Also note that due to the presence of -0, Double's Num instance doesn't have an additive identity

>>> 0 + (-0 :: Double)
0.0

Since: base-2.1

Methods

(+) :: Double -> Double -> Double

(-) :: Double -> Double -> Double

(*) :: Double -> Double -> Double

negate :: Double -> Double

abs :: Double -> Double

signum :: Double -> Double

fromInteger :: Integer -> Double

Num Float

Note that due to the presence of NaN, not all elements of Float have an additive inverse.

>>> 0/0 + (negate 0/0 :: Float)
NaN

Also note that due to the presence of -0, Float's Num instance doesn't have an additive identity

>>> 0 + (-0 :: Float)
0.0

Since: base-2.1

Methods

(+) :: Float -> Float -> Float

(-) :: Float -> Float -> Float

(*) :: Float -> Float -> Float

negate :: Float -> Float

abs :: Float -> Float

signum :: Float -> Float

fromInteger :: Integer -> Float

Fractional Double

Note that due to the presence of NaN, not all elements of Double have an multiplicative inverse.

>>> 0/0 * (recip 0/0 :: Double)
NaN

Since: base-2.1

Methods

(/) :: Double -> Double -> Double

recip :: Double -> Double

fromRational :: Rational -> Double

Fractional Float

Note that due to the presence of NaN, not all elements of Float have an multiplicative inverse.

>>> 0/0 * (recip 0/0 :: Float)
NaN

Since: base-2.1

Methods

(/) :: Float -> Float -> Float

recip :: Float -> Float

fromRational :: Rational -> Float

Real Double

Since: base-2.1

Methods

toRational :: Double -> Rational

Real Float

Since: base-2.1

Methods

toRational :: Float -> Rational

RealFrac Double

Since: base-2.1

Methods

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

truncate :: Integral b => Double -> b

round :: Integral b => Double -> b

ceiling :: Integral b => Double -> b

floor :: Integral b => Double -> b

RealFrac Float

Since: base-2.1

Methods

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

truncate :: Integral b => Float -> b

round :: Integral b => Float -> b

ceiling :: Integral b => Float -> b

floor :: Integral b => Float -> b

Show Double

Since: base-2.1

Methods

showsPrec :: Int -> Double -> ShowS

show :: Double -> String

showList :: [Double] -> ShowS

Show Float

Since: base-2.1

Methods

showsPrec :: Int -> Float -> ShowS

show :: Float -> String

showList :: [Float] -> ShowS