package grenier

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in-package search v0.2.0

A collection of various algorithms in OCaml

Install

Dune Dependency

github.com Readme Changelog Edit opam file Versions (11)

Authors

F

Frederic Bour <frederic.bour@lakaban.net>

Maintainers

F

Frederic Bour <frederic.bour@lakaban.net>

Sources

grenier-0.15.tbz

sha256=dec7f84b9e93d5825f10c7dea84d5a74d7365ede45664ae63c26b5e8045c1c44

sha512=b8aa1569c2e24b89674d1b34de34cd1798896bb6a53aa5a1287f68cee880125e6b687f66ad73da9069a01cc3ece1f0684f48328b099d43529bff736b772c8fd8

doc/grenier.baltree/Bt1/index.html

Module `Bt1`Source

Sourcetype +'a t = private

| Leaf
| Node of int * 'a t * 'a * 'a t
(*
Node(size, l, x, r) where:
- size is the number of elements in the tree,
- l is the left sub-tree
- x is a user-defined value
- r is the right sub-tree.
Trees are guaranteed balanced by construction, the depth of all branches is O(log size).
*)

Type of balanced trees with one custom value

Sourceval leaf : 'a t

Leaf constructor, the empty tree

Sourceval node : 'a t -> 'a -> 'a t -> 'a t

Smart Node constructor, ensuring that the resulting tree is balanced and has the appropriate size.

Cost of node l x r is expected to be O(log |size l - size r|) amortized, i.e proportional to the logarithm of the disbalance. In particular, if l and r are similarly-sized, it operates in constant time on average. NOT PROVEN

User-values can be moved in different subtrees of the result, but the ordering is preserved (so data stay correct if the operation applied on values is associative or the relation expected between them is transitive).

Convenience functions

Sourceval size : 'a t -> int

Accessor to the size

Sourceval join : 'a t -> 'a t -> 'a t

Concatenate two trees. Cost of join l r is O(log (min size l size r)). NOT PROVEN

Sourceval rank : int -> 'a t -> 'a

Return the n'th node in tree order

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Convenience functions