Fraction

Documentation

data Fraction

Constructors

Integer :-: Integer infix 7

Instances

Enum Fraction

Methods

succ :: Fraction -> Fraction

pred :: Fraction -> Fraction

toEnum :: Int -> Fraction

fromEnum :: Fraction -> Int

enumFrom :: Fraction -> [Fraction]

enumFromThen :: Fraction -> Fraction -> [Fraction]

enumFromTo :: Fraction -> Fraction -> [Fraction]

enumFromThenTo :: Fraction -> Fraction -> Fraction -> [Fraction]

Eq Fraction

Methods

(==) :: Fraction -> Fraction -> Bool

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

Fractional Fraction

Methods

(/) :: Fraction -> Fraction -> Fraction

recip :: Fraction -> Fraction

fromRational :: Rational -> Fraction

Num Fraction

Methods

(+) :: Fraction -> Fraction -> Fraction

(-) :: Fraction -> Fraction -> Fraction

(*) :: Fraction -> Fraction -> Fraction

negate :: Fraction -> Fraction

abs :: Fraction -> Fraction

signum :: Fraction -> Fraction

fromInteger :: Integer -> Fraction

Ord Fraction

Methods

compare :: Fraction -> Fraction -> Ordering

(<) :: Fraction -> Fraction -> Bool

(<=) :: Fraction -> Fraction -> Bool

(>) :: Fraction -> Fraction -> Bool

(>=) :: Fraction -> Fraction -> Bool

max :: Fraction -> Fraction -> Fraction

min :: Fraction -> Fraction -> Fraction

Read Fraction

Methods

readsPrec :: Int -> ReadS Fraction

readList :: ReadS [Fraction]

readPrec :: ReadPrec Fraction

readListPrec :: ReadPrec [Fraction]

Real Fraction

Methods

toRational :: Fraction -> Rational

RealFrac Fraction

Methods

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

truncate :: Integral b => Fraction -> b

round :: Integral b => Fraction -> b

ceiling :: Integral b => Fraction -> b

floor :: Integral b => Fraction -> b

Show Fraction

Methods

showsPrec :: Int -> Fraction -> ShowS

show :: Fraction -> String

showList :: [Fraction] -> ShowS

Transcendental Fraction

Methods

pi' :: Fraction -> Fraction

tan' :: Fraction -> Fraction -> Fraction

sin' :: Fraction -> Fraction -> Fraction

cos' :: Fraction -> Fraction -> Fraction

atan' :: Fraction -> Fraction -> Fraction

asin' :: Fraction -> Fraction -> Fraction

acos' :: Fraction -> Fraction -> Fraction

sqrt' :: Fraction -> Fraction -> Fraction

root' :: Fraction -> Fraction -> Integer -> Fraction

power' :: Fraction -> Fraction -> Fraction -> Fraction

exp' :: Fraction -> Fraction -> Fraction

tanh' :: Fraction -> Fraction -> Fraction

sinh' :: Fraction -> Fraction -> Fraction

cosh' :: Fraction -> Fraction -> Fraction

atanh' :: Fraction -> Fraction -> Fraction

asinh' :: Fraction -> Fraction -> Fraction

acosh' :: Fraction -> Fraction -> Fraction

log' :: Fraction -> Fraction -> Fraction

decimal :: Integer -> Fraction -> IO ()

num :: Fraction -> Integer

den :: Fraction -> Integer

reduce :: Fraction -> Fraction

(//) :: Integer -> Integer -> Fraction

approx :: Fraction -> Fraction -> Fraction

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

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

numericEnumFromTo :: Real a => a -> a -> [a]

numericEnumFromThenTo :: Real a => a -> a -> a -> [a]

type CF = [(Fraction, Fraction)]

fromCF :: CF -> Fraction

toCF :: Fraction -> CF

approxCF :: Fraction -> CF -> Fraction

fromTaylorToCF :: Fractional a => [a] -> a -> [(a, a)]

fromFraction :: Fraction -> Double

fac :: Integer -> Integer

integerRoot2 :: Integer -> Integer

class Transcendental a where

Minimal complete definition

pi', tan', sin', cos', atan', asin', acos', sqrt', root', power', exp', tanh', sinh', cosh', atanh', asinh', acosh', log', decimal

Methods

pi' :: Fraction -> a

tan' :: Fraction -> a -> a

sin' :: Fraction -> a -> a

cos' :: Fraction -> a -> a

atan' :: Fraction -> a -> a

asin' :: Fraction -> a -> a

acos' :: Fraction -> a -> a

sqrt' :: Fraction -> a -> a

root' :: Fraction -> a -> Integer -> a

power' :: Fraction -> a -> a -> a

exp' :: Fraction -> a -> a

tanh' :: Fraction -> a -> a

sinh' :: Fraction -> a -> a

cosh' :: Fraction -> a -> a

atanh' :: Fraction -> a -> a

asinh' :: Fraction -> a -> a

acosh' :: Fraction -> a -> a

log' :: Fraction -> a -> a

decimal :: Integer -> a -> IO ()

Instances

Transcendental Fraction

Methods

pi' :: Fraction -> Fraction

tan' :: Fraction -> Fraction -> Fraction

sin' :: Fraction -> Fraction -> Fraction

cos' :: Fraction -> Fraction -> Fraction

atan' :: Fraction -> Fraction -> Fraction

asin' :: Fraction -> Fraction -> Fraction

acos' :: Fraction -> Fraction -> Fraction

sqrt' :: Fraction -> Fraction -> Fraction

root' :: Fraction -> Fraction -> Integer -> Fraction

power' :: Fraction -> Fraction -> Fraction -> Fraction

exp' :: Fraction -> Fraction -> Fraction

tanh' :: Fraction -> Fraction -> Fraction

sinh' :: Fraction -> Fraction -> Fraction

cosh' :: Fraction -> Fraction -> Fraction

atanh' :: Fraction -> Fraction -> Fraction

asinh' :: Fraction -> Fraction -> Fraction

acosh' :: Fraction -> Fraction -> Fraction

log' :: Fraction -> Fraction -> Fraction

decimal :: Integer -> Fraction -> IO ()