arithmetic-1.1: Natural number arithmetic

LicenseMIT
MaintainerJoe Leslie-Hurd <joe@gilith.com>
Stabilityprovisional
Portabilityportable
Safe HaskellSafe
LanguageHaskell98

Arithmetic.ContinuedFraction

Description

 

Documentation

newtype ContinuedFraction Source

Constructors

ContinuedFraction 

Fields

unContinuedFraction :: (Natural, [Natural])
 

Instances

fromNatural :: Natural -> ContinuedFraction Source

goldenRatio :: ContinuedFraction Source

naturalLogarithmBase :: ContinuedFraction Source

convergentsFn :: (Natural -> a) -> (a -> a -> a) -> (a -> a -> a) -> [Natural] -> a -> a -> [a] Source

numerators :: (Natural -> a) -> (a -> a -> a) -> (a -> a -> a) -> ContinuedFraction -> [a] Source

denominators :: (Natural -> a) -> (a -> a -> a) -> (a -> a -> a) -> ContinuedFraction -> [a] Source

convergents :: (Natural -> a) -> (a -> a -> a) -> (a -> a -> a) -> (a -> a -> a) -> ContinuedFraction -> [a] Source

unstableConvergents :: Eq a => [a] -> [a] Source

fractionalConvergents :: Fractional a => ContinuedFraction -> [a] Source

rationalConvergents :: ContinuedFraction -> [Rational] Source

toDouble :: ContinuedFraction -> Double Source

fromRealFrac :: RealFrac a => a -> ContinuedFraction Source

invert :: ContinuedFraction -> Maybe ContinuedFraction Source