numeric-quest-0.2.0.2: Math and quantum mechanics
Safe HaskellSafe-Inferred
LanguageHaskell98

Fraction

Documentation

data Fraction Source #

Constructors

Integer :-: Integer infix 7 

Instances

Instances details
Enum Fraction Source # 
Instance details

Defined in 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] #

Num Fraction Source # 
Instance details

Defined in Fraction

Methods

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

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

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

negate :: Fraction -> Fraction #

abs :: Fraction -> Fraction #

signum :: Fraction -> Fraction #

fromInteger :: Integer -> Fraction #

Read Fraction Source # 
Instance details

Defined in Fraction

Methods

readsPrec :: Int -> ReadS Fraction #

readList :: ReadS [Fraction] #

readPrec :: ReadPrec Fraction #

readListPrec :: ReadPrec [Fraction] #

Fractional Fraction Source # 
Instance details

Defined in Fraction

Methods

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

recip :: Fraction -> Fraction #

fromRational :: Rational -> Fraction #

Real Fraction Source # 
Instance details

Defined in Fraction

Methods

toRational :: Fraction -> Rational #

RealFrac Fraction Source # 
Instance details

Defined in 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 Source # 
Instance details

Defined in Fraction

Methods

showsPrec :: Int -> Fraction -> ShowS #

show :: Fraction -> String #

showList :: [Fraction] -> ShowS #

Eq Fraction Source # 
Instance details

Defined in Fraction

Methods

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

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

Ord Fraction Source # 
Instance details

Defined in 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 #

Transcendental Fraction Source # 
Instance details

Defined in Fraction

Methods

pi' :: Fraction -> Fraction Source #

tan' :: Fraction -> Fraction -> Fraction Source #

sin' :: Fraction -> Fraction -> Fraction Source #

cos' :: Fraction -> Fraction -> Fraction Source #

atan' :: Fraction -> Fraction -> Fraction Source #

asin' :: Fraction -> Fraction -> Fraction Source #

acos' :: Fraction -> Fraction -> Fraction Source #

sqrt' :: Fraction -> Fraction -> Fraction Source #

root' :: Fraction -> Fraction -> Integer -> Fraction Source #

power' :: Fraction -> Fraction -> Fraction -> Fraction Source #

exp' :: Fraction -> Fraction -> Fraction Source #

tanh' :: Fraction -> Fraction -> Fraction Source #

sinh' :: Fraction -> Fraction -> Fraction Source #

cosh' :: Fraction -> Fraction -> Fraction Source #

atanh' :: Fraction -> Fraction -> Fraction Source #

asinh' :: Fraction -> Fraction -> Fraction Source #

acosh' :: Fraction -> Fraction -> Fraction Source #

log' :: Fraction -> Fraction -> Fraction Source #

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

num :: Fraction -> Integer Source #

den :: Fraction -> Integer Source #

reduce :: Fraction -> Fraction Source #

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

approx :: Fraction -> Fraction -> Fraction Source #

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

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

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

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

type CF = [(Fraction, Fraction)] Source #

fromCF :: CF -> Fraction Source #

toCF :: Fraction -> CF Source #

approxCF :: Fraction -> CF -> Fraction Source #

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

fromFraction :: Fraction -> Double Source #

fac :: Integer -> Integer Source #

integerRoot2 :: Integer -> Integer Source #

class Transcendental a where Source #

Methods

pi' :: Fraction -> a Source #

tan' :: Fraction -> a -> a Source #

sin' :: Fraction -> a -> a Source #

cos' :: Fraction -> a -> a Source #

atan' :: Fraction -> a -> a Source #

asin' :: Fraction -> a -> a Source #

acos' :: Fraction -> a -> a Source #

sqrt' :: Fraction -> a -> a Source #

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

power' :: Fraction -> a -> a -> a Source #

exp' :: Fraction -> a -> a Source #

tanh' :: Fraction -> a -> a Source #

sinh' :: Fraction -> a -> a Source #

cosh' :: Fraction -> a -> a Source #

atanh' :: Fraction -> a -> a Source #

asinh' :: Fraction -> a -> a Source #

acosh' :: Fraction -> a -> a Source #

log' :: Fraction -> a -> a Source #

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

Instances

Instances details
Transcendental Fraction Source # 
Instance details

Defined in Fraction

Methods

pi' :: Fraction -> Fraction Source #

tan' :: Fraction -> Fraction -> Fraction Source #

sin' :: Fraction -> Fraction -> Fraction Source #

cos' :: Fraction -> Fraction -> Fraction Source #

atan' :: Fraction -> Fraction -> Fraction Source #

asin' :: Fraction -> Fraction -> Fraction Source #

acos' :: Fraction -> Fraction -> Fraction Source #

sqrt' :: Fraction -> Fraction -> Fraction Source #

root' :: Fraction -> Fraction -> Integer -> Fraction Source #

power' :: Fraction -> Fraction -> Fraction -> Fraction Source #

exp' :: Fraction -> Fraction -> Fraction Source #

tanh' :: Fraction -> Fraction -> Fraction Source #

sinh' :: Fraction -> Fraction -> Fraction Source #

cosh' :: Fraction -> Fraction -> Fraction Source #

atanh' :: Fraction -> Fraction -> Fraction Source #

asinh' :: Fraction -> Fraction -> Fraction Source #

acosh' :: Fraction -> Fraction -> Fraction Source #

log' :: Fraction -> Fraction -> Fraction Source #

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