Haskell Hierarchical Libraries (base package) Contents Index

GHC.Real Portability non-portable (GHC Extensions) Stability internal Maintainer cvs-ghc@haskell.org

Description

The types Ratio and Rational, and the classes Real, Fractional, Integral, and RealFrac.

Synopsis

data Ratio a = (:%) !a !a type Rational = Ratio Integer ratioPrec :: Int ratioPrec1 :: Int infinity :: Rational notANumber :: Rational (%) :: Integral a => a -> a -> Ratio a numerator :: Integral a => Ratio a -> a denominator :: Integral a => Ratio a -> a reduce :: Integral a => a -> a -> Ratio a class (Num a, Ord a) => Real a where toRational :: a -> Rational 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 => Fractional a where (/) :: a -> a -> a recip :: a -> a fromRational :: Rational -> 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 numericEnumFrom :: Fractional a => a -> [a] numericEnumFromThen :: Fractional a => a -> a -> [a] numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a] numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a] fromIntegral :: (Integral a, Num b) => a -> b realToFrac :: (Real a, Fractional b) => a -> b showSigned :: Real a => (a -> ShowS) -> Int -> a -> ShowS even :: Integral a => a -> Bool odd :: Integral a => a -> Bool (^) :: (Num a, Integral b) => a -> b -> a (^^) :: (Fractional a, Integral b) => a -> b -> a gcd :: Integral a => a -> a -> a lcm :: Integral a => a -> a -> a integralEnumFrom :: (Integral a, Bounded a) => a -> [a] integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a] integralEnumFromTo :: Integral a => a -> a -> [a] integralEnumFromThenTo :: Integral a => a -> a -> a -> [a]

Documentation

data Ratio a

Constructors (:%) !a !a Instances Typeable a => Typeable (Ratio a) (Integral a, Read a) => Read (Ratio a) Integral a => Ord (Ratio a) Integral a => Num (Ratio a) Integral a => Fractional (Ratio a) Integral a => Real (Ratio a) Integral a => RealFrac (Ratio a) Integral a => Show (Ratio a) Integral a => Enum (Ratio a) (Integral a, Eq a) => Eq (Ratio a)

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.

ratioPrec :: Int

ratioPrec1 :: Int

infinity :: Rational

notANumber :: Rational

(%) :: Integral a => a -> a -> Ratio a

numerator :: Integral a => Ratio a -> a

denominator :: Integral a => Ratio a -> a

reduce :: Integral a => a -> a -> Ratio a

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

Methods toRational :: a -> Rational Instances Real CChar Real CSChar Real CUChar Real CShort Real CUShort Real CInt Real CUInt Real CLong Real CULong Real CLLong Real CULLong Real CFloat Real CDouble Real CLDouble Real CPtrdiff Real CSize Real CWchar Real CSigAtomic Real CClock Real CTime Real Float Real Double Real Int8 Real Int16 Real Int32 Real Int64 Real Int Real Integer Integral a => Real (Ratio a) Real Word Real Word8 Real Word16 Real Word32 Real Word64 Real CIno Real CMode Real COff Real CPid Real CSsize Real CGid Real CNlink Real CUid Real CTcflag Real CRLim Real Fd

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

Methods quot :: a -> a -> a rem :: a -> a -> a div :: a -> a -> a mod :: a -> a -> a quotRem :: a -> a -> (a, a) divMod :: a -> a -> (a, a) toInteger :: a -> Integer Instances Integral CChar Integral CSChar Integral CUChar Integral CShort Integral CUShort Integral CInt Integral CUInt Integral CLong Integral CULong Integral CLLong Integral CULLong Integral CPtrdiff Integral CSize Integral CWchar Integral CSigAtomic Integral CClock Integral CTime Integral Int8 Integral Int16 Integral Int32 Integral Int64 Integral Int Integral Integer Integral Word Integral Word8 Integral Word16 Integral Word32 Integral Word64 Integral CIno Integral CMode Integral COff Integral CPid Integral CSsize Integral CGid Integral CNlink Integral CUid Integral CTcflag Integral CRLim Integral Fd

class Num a => Fractional a where

Methods (/) :: a -> a -> a recip :: a -> a fromRational :: Rational -> a Instances RealFloat a => Fractional (Complex a) Fractional CFloat Fractional CDouble Fractional CLDouble Fractional Float Fractional Double Integral a => Fractional (Ratio a)

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

Methods properFraction :: Integral b => a -> (b, a) truncate :: Integral b => a -> b round :: Integral b => a -> b ceiling :: Integral b => a -> b floor :: Integral b => a -> b Instances RealFrac CFloat RealFrac CDouble RealFrac CLDouble RealFrac Float RealFrac Double Integral a => RealFrac (Ratio a)

numericEnumFrom :: Fractional a => a -> [a]

numericEnumFromThen :: Fractional a => a -> a -> [a]

numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a]

numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a]

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

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

showSigned :: Real a => (a -> ShowS) -> Int -> a -> ShowS

even :: Integral a => a -> Bool

odd :: Integral a => a -> Bool

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

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

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

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

integralEnumFrom :: (Integral a, Bounded a) => a -> [a]

integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a]

integralEnumFromTo :: Integral a => a -> a -> [a]

integralEnumFromThenTo :: Integral a => a -> a -> a -> [a]

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