Data.Float

Documentation

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

Defined in GHC.Classes

Methods

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

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

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

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 :: (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

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

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Float

readList :: ReadS [Float]

readPrec :: ReadPrec Float

readListPrec :: ReadPrec [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

Lift Float

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Float -> Q Exp

Hashable Float

Note: prior to hashable-1.3.0.0, hash 0.0 /= hash (-0.0)

The hash of NaN is not well defined.

Since: hashable-1.3.0.0

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Float -> Int

hash :: Float -> Int

Prd Float

Defined in Data.Prd

Methods

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

(>~) :: Float -> Float -> Bool

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

(?~) :: Float -> Float -> Bool

pcompare :: Float -> Float -> Maybe Ordering

Quantale Float

Defined in Data.Semigroup.Quantale

Methods

residr :: Float -> Conn Float Float

residl :: Float -> Conn Float Float

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

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

Generic1 (URec Float :: k -> Type)

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

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

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

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)

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

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

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

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)))

split :: Float -> Either Float Float

lsbMask :: Float -> Word32

msbMask :: Float -> Word32

expMask :: Float -> Word32

sigMask :: Float -> Word32

signBit :: Float -> Bool

evenBit :: Float -> Bool

maxNorm :: Float

maximal (positive) finite value.

minNorm :: Float

minimal (positive) normalized value.

maxOdd :: Float

maximal representable odd integer.

 maxOdd = 2**24 - 1

minSub :: Float

minimal (positive) value.

epsilon :: Float

difference between 1 and the smallest representable value greater than 1.

aNan :: Float

first NaN value.

pInf :: Float

Positive infinity

nInf = 1/0

nInf :: Float

Negative infinity

nInf = -1/0

eq' :: Float -> Float -> Bool

isNan :: Float -> Bool

nan x == indeterminate x

pinf :: Float -> Bool

ninf :: Float -> Bool

infinite :: Float -> Bool

denormalized :: Float -> Bool

finite :: Float -> Bool

nzero :: Float -> Bool

ulps :: Float -> Float -> (Bool, Word32)

ulpDistance :: Float -> Float -> Word32

ulpDelta :: Float -> Float -> Int

ulpDelta' :: Float -> Float -> Int32

within :: Word32 -> Float -> Float -> Bool

Compare two Float values for approximate equality, using Dawson's method.

required accuracy is specified in ULPs (units of least precision). If the two numbers differ by the given number of ULPs or less, this function returns True.

module Data.Connection.Float