Numeric.Mantissa

Real numbers in [0,1), represented as fixed-point reals stored in a machine word.

Fractional would arguably be a better name, but is of course already in use.

Documentation

data Mantissa

A real number in [0,1), represented as a boxed word

Constructors

M# Mantissa#

Instances

Num Mantissa

Defined in Numeric.Mantissa

Methods

(+) :: Mantissa -> Mantissa -> Mantissa

(-) :: Mantissa -> Mantissa -> Mantissa

(*) :: Mantissa -> Mantissa -> Mantissa

negate :: Mantissa -> Mantissa

abs :: Mantissa -> Mantissa

signum :: Mantissa -> Mantissa

fromInteger :: Integer -> Mantissa

Fractional Mantissa

Defined in Numeric.Mantissa

Methods

(/) :: Mantissa -> Mantissa -> Mantissa

recip :: Mantissa -> Mantissa

fromRational :: Rational -> Mantissa

Eq Mantissa

Defined in Numeric.Mantissa

Methods

(==) :: Mantissa -> Mantissa -> Bool

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

Ord Mantissa

Defined in Numeric.Mantissa

Methods

compare :: Mantissa -> Mantissa -> Ordering

(<) :: Mantissa -> Mantissa -> Bool

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

(>) :: Mantissa -> Mantissa -> Bool

(>=) :: Mantissa -> Mantissa -> Bool

max :: Mantissa -> Mantissa -> Mantissa

min :: Mantissa -> Mantissa -> Mantissa

oneMinusE :: Mantissa

The largest possible mantissa, just a tiny bit less than one

mantissaFromWord :: Word -> Mantissa

mantissaToWord :: Mantissa -> Word

mantissaToFractional :: Fractional a => Mantissa -> a

Convert a mantissa to any Fractional type, implemented using fromRational