Copyright	(c) NoviSci Inc 2020
License	BSD3
Maintainer	bsaul@novisci.com
Stability	experimental
Safe Haskell	Safe
Language	Haskell2010

IntervalAlgebra.PairedInterval

Description

Synopsis

data PairedInterval b a
data Empty = Empty
makePairedInterval :: b -> Interval a -> PairedInterval b a
getPairData :: PairedInterval b a -> b
intervals :: (Ord a, Functor f) => f (PairedInterval b a) -> f (Interval a)
equalPairData :: Eq b => ComparativePredicateOf1 (PairedInterval b a)
toTrivialPair :: Interval a -> PairedInterval Empty a
trivialize :: Functor f => f (Interval a) -> f (PairedInterval Empty a)

Documentation

data PairedInterval b a Source #

An Interval a paired with some other data of type b.

Instances

Instances details

Bifunctor PairedInterval Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods bimap :: (a -> b) -> (c -> d) -> PairedInterval a c -> PairedInterval b d # first :: (a -> b) -> PairedInterval a c -> PairedInterval b c # second :: (b -> c) -> PairedInterval a b -> PairedInterval a c #
Functor (PairedInterval b) Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods fmap :: (a -> b0) -> PairedInterval b a -> PairedInterval b b0 # (<$) :: a -> PairedInterval b b0 -> PairedInterval b a #
(Ord a, Eq b, Monoid b) => IntervalCombinable (PairedInterval b) a Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods (.+.) :: PairedInterval b a -> PairedInterval b a -> Maybe (PairedInterval b a) Source # (><) :: PairedInterval b a -> PairedInterval b a -> Maybe (PairedInterval b a) Source # (<+>) :: (Semigroup (f (PairedInterval b a)), Applicative f) => PairedInterval b a -> PairedInterval b a -> f (PairedInterval b a) Source #
Ord a => Intervallic (PairedInterval b) a Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods getInterval :: PairedInterval b a -> Interval a Source # setInterval :: PairedInterval b a -> Interval a -> PairedInterval b a Source #
(Eq a, Eq b) => Eq (PairedInterval b a) Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods (==) :: PairedInterval b a -> PairedInterval b a -> Bool # (/=) :: PairedInterval b a -> PairedInterval b a -> Bool #
(Eq a, Eq b, Ord a) => Ord (PairedInterval b a) Source #	Defines A total ordering on 'PairedInterval b a' based on the 'Interval a' part.
Instance details Defined in IntervalAlgebra.PairedInterval Methods compare :: PairedInterval b a -> PairedInterval b a -> Ordering # (<) :: PairedInterval b a -> PairedInterval b a -> Bool # (<=) :: PairedInterval b a -> PairedInterval b a -> Bool # (>) :: PairedInterval b a -> PairedInterval b a -> Bool # (>=) :: PairedInterval b a -> PairedInterval b a -> Bool # max :: PairedInterval b a -> PairedInterval b a -> PairedInterval b a # min :: PairedInterval b a -> PairedInterval b a -> PairedInterval b a #
(Show b, Show a, Ord a) => Show (PairedInterval b a) Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods showsPrec :: Int -> PairedInterval b a -> ShowS # show :: PairedInterval b a -> String # showList :: [PairedInterval b a] -> ShowS #

data Empty Source #

Empty is used to trivially lift an Interval a into a PairedInterval.

Constructors

Empty

Instances

Instances details

Eq Empty Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods (==) :: Empty -> Empty -> Bool # (/=) :: Empty -> Empty -> Bool #
Ord Empty Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods compare :: Empty -> Empty -> Ordering # (<) :: Empty -> Empty -> Bool # (<=) :: Empty -> Empty -> Bool # (>) :: Empty -> Empty -> Bool # (>=) :: Empty -> Empty -> Bool # max :: Empty -> Empty -> Empty # min :: Empty -> Empty -> Empty #
Show Empty Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods showsPrec :: Int -> Empty -> ShowS # show :: Empty -> String # showList :: [Empty] -> ShowS #
Semigroup Empty Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods (<>) :: Empty -> Empty -> Empty # sconcat :: NonEmpty Empty -> Empty # stimes :: Integral b => b -> Empty -> Empty #
Monoid Empty Source #
Instance details Defined in IntervalAlgebra.PairedInterval Methods mempty :: Empty # mappend :: Empty -> Empty -> Empty # mconcat :: [Empty] -> Empty #

makePairedInterval :: b -> Interval a -> PairedInterval b a Source #

Make a paired interval.

getPairData :: PairedInterval b a -> b Source #

Gets the data (i.e. non-interval) part of a PairedInterval.

intervals :: (Ord a, Functor f) => f (PairedInterval b a) -> f (Interval a) Source #

Gets the intervals from a list of paired intervals.

equalPairData :: Eq b => ComparativePredicateOf1 (PairedInterval b a) Source #

Tests for equality of the data in a PairedInterval.

toTrivialPair :: Interval a -> PairedInterval Empty a Source #

Lifts an Interval a into a PairedInterval Empty a, where Empty is a trivial type that contains no data.

trivialize :: Functor f => f (Interval a) -> f (PairedInterval Empty a) Source #

Lifts a Functor containing Interval a(s) into a Functor containing PairedInterval Empty a(s).