NumericPrelude-0.0: An experimental alternative hierarchy of numeric type classes Contents Index

Algebra.Indexable Portability portable Stability provisional Maintainer numericprelude@henning-thielemann.de

Description

An alternative type class for Ord which allows an ordering for dictionaries like Data.Map and Data.Set independently from the ordering with respect to a magnitude.

Synopsis

class Eq a => C a where compare :: a -> a -> Ordering ordCompare :: Ord a => a -> a -> Ordering liftCompare :: C b => (a -> b) -> a -> a -> Ordering data ToOrd a toOrd :: a -> ToOrd a fromOrd :: ToOrd a -> a

Documentation

class Eq a => C a where

Definition of an alternative ordering of objects independent from a notion of magnitude. For an application see MathObj.PartialFraction. Methods compare :: a -> a -> Ordering Instances C Integer (C a, C b) => C (a, b) (Ord a, C a) => C (T a) (C a, C a) => C (T a) C a => C (T a) C a => C [a]

ordCompare :: Ord a => a -> a -> Ordering

If the type has already an Ord instance it is certainly the most easiest to define compare to be equal to Ord's compare.

liftCompare :: C b => (a -> b) -> a -> a -> Ordering

Lift compare implementation from a wrapped object.

data ToOrd a

Wrap an indexable object such that it can be used in Data.Map and Data.Set. Instances Eq a => Eq (ToOrd a) C a => Ord (ToOrd a) Show a => Show (ToOrd a)

toOrd :: a -> ToOrd a

fromOrd :: ToOrd a -> a

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