Safe Haskell	None
Language	Haskell98

Data.Number.BigFloat

Description

A simple implementation of floating point numbers with a selectable precision. The number of digits in the mantissa is selected by the Epsilon type class from the Fixed module.

The numbers are stored in base 10.

Synopsis

data BigFloat e
class Epsilon e
data Eps1
data EpsDiv10 p
data Prec10
data Prec50
data PrecPlus20 e

Documentation

data BigFloat e Source #

Floating point number where the precision is determined by the type e.

Instances

Instances details

Eq (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods (==) :: BigFloat e -> BigFloat e -> Bool (/=) :: BigFloat e -> BigFloat e -> Bool
Epsilon e => Floating (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods pi :: BigFloat e exp :: BigFloat e -> BigFloat e log :: BigFloat e -> BigFloat e sqrt :: BigFloat e -> BigFloat e (**) :: BigFloat e -> BigFloat e -> BigFloat e logBase :: BigFloat e -> BigFloat e -> BigFloat e sin :: BigFloat e -> BigFloat e cos :: BigFloat e -> BigFloat e tan :: BigFloat e -> BigFloat e asin :: BigFloat e -> BigFloat e acos :: BigFloat e -> BigFloat e atan :: BigFloat e -> BigFloat e sinh :: BigFloat e -> BigFloat e cosh :: BigFloat e -> BigFloat e tanh :: BigFloat e -> BigFloat e asinh :: BigFloat e -> BigFloat e acosh :: BigFloat e -> BigFloat e atanh :: BigFloat e -> BigFloat e log1p :: BigFloat e -> BigFloat e expm1 :: BigFloat e -> BigFloat e log1pexp :: BigFloat e -> BigFloat e log1mexp :: BigFloat e -> BigFloat e
Epsilon e => Fractional (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods (/) :: BigFloat e -> BigFloat e -> BigFloat e recip :: BigFloat e -> BigFloat e fromRational :: Rational -> BigFloat e
Epsilon e => Num (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods (+) :: BigFloat e -> BigFloat e -> BigFloat e (-) :: BigFloat e -> BigFloat e -> BigFloat e (*) :: BigFloat e -> BigFloat e -> BigFloat e negate :: BigFloat e -> BigFloat e abs :: BigFloat e -> BigFloat e signum :: BigFloat e -> BigFloat e fromInteger :: Integer -> BigFloat e
Epsilon e => Ord (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods compare :: BigFloat e -> BigFloat e -> Ordering (<) :: BigFloat e -> BigFloat e -> Bool (<=) :: BigFloat e -> BigFloat e -> Bool (>) :: BigFloat e -> BigFloat e -> Bool (>=) :: BigFloat e -> BigFloat e -> Bool max :: BigFloat e -> BigFloat e -> BigFloat e min :: BigFloat e -> BigFloat e -> BigFloat e
Epsilon e => Real (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods toRational :: BigFloat e -> Rational
Epsilon e => RealFloat (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods floatRadix :: BigFloat e -> Integer floatDigits :: BigFloat e -> Int floatRange :: BigFloat e -> (Int, Int) decodeFloat :: BigFloat e -> (Integer, Int) encodeFloat :: Integer -> Int -> BigFloat e exponent :: BigFloat e -> Int significand :: BigFloat e -> BigFloat e scaleFloat :: Int -> BigFloat e -> BigFloat e isNaN :: BigFloat e -> Bool isInfinite :: BigFloat e -> Bool isDenormalized :: BigFloat e -> Bool isNegativeZero :: BigFloat e -> Bool isIEEE :: BigFloat e -> Bool atan2 :: BigFloat e -> BigFloat e -> BigFloat e
Epsilon e => RealFrac (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods properFraction :: Integral b => BigFloat e -> (b, BigFloat e) truncate :: Integral b => BigFloat e -> b round :: Integral b => BigFloat e -> b ceiling :: Integral b => BigFloat e -> b floor :: Integral b => BigFloat e -> b
Epsilon e => Show (BigFloat e) Source #
Instance details Defined in Data.Number.BigFloat Methods showsPrec :: Int -> BigFloat e -> ShowS show :: BigFloat e -> String showList :: [BigFloat e] -> ShowS

class Epsilon e Source #

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

Minimal complete definition

eps

Instances

Instances details

Epsilon Prec500 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Prec500 -> Rational
Epsilon Prec50 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Prec50 -> Rational
Epsilon Prec10 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Prec10 -> Rational
Epsilon Eps1 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Eps1 -> Rational
Epsilon e => Epsilon (PrecPlus20 e) Source #
Instance details Defined in Data.Number.Fixed Methods eps :: PrecPlus20 e -> Rational
Epsilon e => Epsilon (EpsDiv10 e) Source #
Instance details Defined in Data.Number.Fixed Methods eps :: EpsDiv10 e -> Rational

data Eps1 Source #

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

Instances

Instances details

Epsilon Eps1 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Eps1 -> Rational

data EpsDiv10 p Source #

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

Instances

Instances details

Epsilon e => Epsilon (EpsDiv10 e) Source #
Instance details Defined in Data.Number.Fixed Methods eps :: EpsDiv10 e -> Rational

data Prec10 Source #

Ten decimals.

Instances

Instances details

Epsilon Prec10 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Prec10 -> Rational

data Prec50 Source #

50 decimals.

Instances

Instances details

Epsilon Prec50 Source #
Instance details Defined in Data.Number.Fixed Methods eps :: Prec50 -> Rational

data PrecPlus20 e Source #

Instances

Instances details

Epsilon e => Epsilon (PrecPlus20 e) Source #
Instance details Defined in Data.Number.Fixed Methods eps :: PrecPlus20 e -> Rational