order-statistic-tree

This repository contains an implementation of order statistic tree in Haskell programming language. I could not find an order statistic tree at Hackage, so I have to develop one. This implementation uses weight-balanced trees which are desribed in Hirai, Yoichi, and Kazuhiko Yamamoto. "Balancing weight-balanced trees." Journal of Functional Programming 21.03 (2011): 287-307. Also some code is based on containers package. Implementation of order statistic tree is described in Cormen, T.H., Leiserson, Rivest, Stein. Introduction to algorithms. The MIT Press. 3rd ed. I tried to make this tree as fast as possible. The results on my i7-4790 with 16Gb RAM are following: OSTree was created from 1.000.000 random numbers in 1.987 ± 0.015 s (e.g. for Data.Map.Strict - 2.081 ± 0.008 s); deletion from OSTree with 1.000.000 random numbers was made in 13.88 ± 0.14 ms; lookup from OSTree with 1.000.000 random numbers was made in 164.8 ± 1.06 ns; selection from OSTree with 1.000.000 random numbers was made in 56.54 ± 0.99 ns; full testing protocol can be found in result-bench.txt.