lazyset: Set and Map from lazy/infinite lists.

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A Set and Map implementation that is completly lazy and works for infinite sets and maps.


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Versions [RSS] 0.1.0.0
Change log ChangeLog.md
Dependencies base (>=4.9 && <4.10), containers (>=0.5.8.1 && <0.6), data-ordlist (>=0.4 && <0.5) [details]
License MIT
Author Carlos Freund
Maintainer carlosfreund@googlemail.com
Category Data
Home page https://github.com/happyherp/lazyset
Source repo head: git clone https://github.com/happyherp/lazyset
Uploaded by carlos_freund at 2016-12-15T11:53:11Z
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Reverse Dependencies 1 direct, 0 indirect [details]
Downloads 1008 total (2 in the last 30 days)
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Status Docs available [build log]
Last success reported on 2016-12-15 [all 1 reports]

Readme for lazyset-0.1.0.0

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lazyset

A Lazy Set and Map implemented in Haskell.

Allows efficient, lazy lookups on sorted lists. The list may be of ininite size.

The Source-List must

  • contain elements that implement Ord
  • must be ascending (or descending: see fromDescList)
  • either produce an infinite number of elements or terminate

Set Sample usage


import Data.Set.Lazy

set = fromAscList $ map (*3) [1..]

3 `member` set -> True
4 `member` set -> False

Map Sample usage


import Prelude hiding(lookup)
import Data.Map.Lazier


sqrtmap = fromList $ map (\i->(i, sqrt i)) [1..]
lookup 2 sqrtmap -> Just 1.4142135623730951

Performance

Elements from the Source-List will be requested in batches of increasing size. By default the batch-size is increases by two. This would lead to batches of 1,2,4,8,16. This can be changed by using growFromAscList factor list. For Example a factor of 1.3 casues the batches to be 1,2,2,3,3,4,5.

Increasing the growth-factor reduces lookup times but increases the batch-size. When it is set to 1.0 it performs like a list.

lookup: O(m) = log m where m is the index of the element in the source-list.

Issues

This breaks the set, because the underlying list stops producing elements.


set = fromList $ filter (<4) [1..]
5 `member` set