Data.Number.Fixed

Numbers with a fixed number of decimals.

Documentation

data Fixed e

Instances

Enum (Fixed e)

Methods

succ :: Fixed e -> Fixed e

pred :: Fixed e -> Fixed e

toEnum :: Int -> Fixed e

fromEnum :: Fixed e -> Int

enumFrom :: Fixed e -> [Fixed e]

enumFromThen :: Fixed e -> Fixed e -> [Fixed e]

enumFromTo :: Fixed e -> Fixed e -> [Fixed e]

enumFromThenTo :: Fixed e -> Fixed e -> Fixed e -> [Fixed e]

Eq (Fixed e)

Methods

(==) :: Fixed e -> Fixed e -> Bool

(/=) :: Fixed e -> Fixed e -> Bool

Epsilon e => Floating (Fixed e)

Methods

pi :: Fixed e

exp :: Fixed e -> Fixed e

log :: Fixed e -> Fixed e

sqrt :: Fixed e -> Fixed e

(**) :: Fixed e -> Fixed e -> Fixed e

logBase :: Fixed e -> Fixed e -> Fixed e

sin :: Fixed e -> Fixed e

cos :: Fixed e -> Fixed e

tan :: Fixed e -> Fixed e

asin :: Fixed e -> Fixed e

acos :: Fixed e -> Fixed e

atan :: Fixed e -> Fixed e

sinh :: Fixed e -> Fixed e

cosh :: Fixed e -> Fixed e

tanh :: Fixed e -> Fixed e

asinh :: Fixed e -> Fixed e

acosh :: Fixed e -> Fixed e

atanh :: Fixed e -> Fixed e

log1p :: Fixed e -> Fixed e

expm1 :: Fixed e -> Fixed e

log1pexp :: Fixed e -> Fixed e

log1mexp :: Fixed e -> Fixed e

Epsilon e => Fractional (Fixed e)

Methods

(/) :: Fixed e -> Fixed e -> Fixed e

recip :: Fixed e -> Fixed e

fromRational :: Rational -> Fixed e

Epsilon e => Num (Fixed e)

Methods

(+) :: Fixed e -> Fixed e -> Fixed e

(-) :: Fixed e -> Fixed e -> Fixed e

(*) :: Fixed e -> Fixed e -> Fixed e

negate :: Fixed e -> Fixed e

abs :: Fixed e -> Fixed e

signum :: Fixed e -> Fixed e

fromInteger :: Integer -> Fixed e

Ord (Fixed e)

Methods

compare :: Fixed e -> Fixed e -> Ordering

(<) :: Fixed e -> Fixed e -> Bool

(<=) :: Fixed e -> Fixed e -> Bool

(>) :: Fixed e -> Fixed e -> Bool

(>=) :: Fixed e -> Fixed e -> Bool

max :: Fixed e -> Fixed e -> Fixed e

min :: Fixed e -> Fixed e -> Fixed e

Epsilon e => Read (Fixed e)

Methods

readsPrec :: Int -> ReadS (Fixed e)

readList :: ReadS [Fixed e]

readPrec :: ReadPrec (Fixed e)

readListPrec :: ReadPrec [Fixed e]

Epsilon e => Real (Fixed e)

Methods

toRational :: Fixed e -> Rational

Epsilon e => RealFloat (Fixed e)

Methods

floatRadix :: Fixed e -> Integer

floatDigits :: Fixed e -> Int

floatRange :: Fixed e -> (Int, Int)

decodeFloat :: Fixed e -> (Integer, Int)

encodeFloat :: Integer -> Int -> Fixed e

exponent :: Fixed e -> Int

significand :: Fixed e -> Fixed e

scaleFloat :: Int -> Fixed e -> Fixed e

isNaN :: Fixed e -> Bool

isInfinite :: Fixed e -> Bool

isDenormalized :: Fixed e -> Bool

isNegativeZero :: Fixed e -> Bool

isIEEE :: Fixed e -> Bool

atan2 :: Fixed e -> Fixed e -> Fixed e

Epsilon e => RealFrac (Fixed e)

Methods

properFraction :: Integral b => Fixed e -> (b, Fixed e)

truncate :: Integral b => Fixed e -> b

round :: Integral b => Fixed e -> b

ceiling :: Integral b => Fixed e -> b

floor :: Integral b => Fixed e -> b

Epsilon e => Show (Fixed e)

Methods

showsPrec :: Int -> Fixed e -> ShowS

show :: Fixed e -> String

showList :: [Fixed e] -> ShowS

class Epsilon e

The Epsilon class contains the types that can be used to determine the precision of a Fixed number.

Minimal complete definition

eps

Instances

Epsilon Prec500

Methods

eps :: Prec500 -> Rational

Epsilon Prec50

Methods

eps :: Prec50 -> Rational

Epsilon Prec10

Methods

eps :: Prec10 -> Rational

Epsilon Eps1

Methods

eps :: Eps1 -> Rational

Epsilon e => Epsilon (PrecPlus20 e)

Methods

eps :: PrecPlus20 e -> Rational

Epsilon e => Epsilon (EpsDiv10 e)

Methods

eps :: EpsDiv10 e -> Rational

data Eps1

An epsilon of 1, i.e., no decimals.

Instances

Epsilon Eps1

Methods

eps :: Eps1 -> Rational

data EpsDiv10 p

A type construct that gives one more decimals than the argument.

Instances

Epsilon e => Epsilon (EpsDiv10 e)

Methods

eps :: EpsDiv10 e -> Rational

data Prec10

Ten decimals.

Instances

Epsilon Prec10

Methods

eps :: Prec10 -> Rational

data Prec50

50 decimals.

Instances

Epsilon Prec50

Methods

eps :: Prec50 -> Rational

data PrecPlus20 e

Instances

Epsilon e => Epsilon (PrecPlus20 e)

Methods

eps :: PrecPlus20 e -> Rational

data Prec500

500 decimals.

Instances

Epsilon Prec500

Methods

eps :: Prec500 -> Rational

convertFixed :: (Epsilon e, Epsilon f) => Fixed e -> Fixed f

Convert between two arbitrary fixed precision types.

dynamicEps :: forall a. Rational -> (forall e. Epsilon e => Fixed e -> a) -> Rational -> a

precision :: Epsilon e => Fixed e -> Rational

with_added_precision :: forall a f. Epsilon f => Rational -> (forall e. Epsilon e => Fixed e -> a) -> Fixed f -> a

The call with_added_precision r f v evaluates f v, while temporarily multiplying the precision of v by r.