numeric-prelude-0.2: An experimental alternative hierarchy of numeric type classes

Portabilityportable (?)
Stabilityprovisional
Maintainernumericprelude@henning-thielemann.de

Number.Ratio

Description

Ratios of mathematical objects.

Synopsis

Documentation

data T a Source

Constructors

:% 

Fields

numerator :: !a
 
denominator :: !a
 

Instances

C a => C Integer (T a) 
Eq a => Eq (T a) 
(Num a, C a, C a) => Fractional (T a) 
(Num a, C a, C a) => Num (T a) 
(Ord a, C a) => Ord (T a) 
(Read a, C a) => Read (T a) 
(Show a, C a) => Show (T a) 
(Arbitrary a, C a, C a) => Arbitrary (T a) 
(Storable a, C a) => Storable (T a) 
(Random a, C a, C a) => Random (T a) 
(Ord a, C a) => C (T a) 
C a => C (T a) 
(C a, C a) => C (T a) 
C a => C (T a) 
(C a, C a) => C (T a) 
C a => C (T a) 
(C a, C a) => C (T a) 
(C a, C a) => C (T a) 
(C a, C a) => C (T a) 
(Ord a, C a) => C (T a) 
C a => Zero (T a) 
C a => C (T a) (T a) 
C a => C (T a) (T a) 
C a => C (T a) (T a) 
(C a, C a) => Sqr (T a) (T a) 
(C a, C a, C a) => C (T a) (T a) 
(C a, C a) => C (T a) (T a) 
C a => C (T a) (T a) 

(%) :: C a => a -> a -> T aSource

fromValue :: C a => a -> T aSource

scale :: C a => a -> T a -> T aSource

split :: C a => T a -> (a, T a)Source

similar to Algebra.RealRing.splitFraction

showsPrecAuto :: (Eq a, C a, Show a) => Int -> T a -> String -> StringSource

This is an alternative show method that is more user-friendly but also potentially more ambigious.

toRational98 :: (Integral a, C a) => T a -> Ratio aSource

Necessary when mixing NumericPrelude.Numeric Rationals with Prelude98 Rationals