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-v0.10.tbz

sha256=271ae9461d012c99449e5233386b13ab99ae2e474ed570e05bf0c9947e5eff1e

sha512=73c89aa6281f612c499eb734c6fc4d33b961ed82d6cc7380b03acb196233c27107e103b11f55e50f543f0f1dedb4924e6691a5c3c353ef4d8177bc661fc2bfd4

doc/grenier.baltree/Bt2/index.html

Module `Bt2`

type (+'a, +'b) t = private

| Leaf
| Node of int * ('a, 'b) t * 'a * 'b * ('a, 'b) 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 two custom values (more efficient than a pair)

val leaf : ('a, 'b) t

Leaf constructor, the empty tree

val node : ('a, 'b) t -> 'a -> 'b -> ('a, 'b) t -> ('a, 'b) 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

val size : ('a, 'b) t -> int

Accessor to the size

val join : ('a, 'b) t -> ('a, 'b) t -> ('a, 'b) t

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

val rank : int -> ('a, 'b) t -> 'a * 'b

Return the n'th node in tree order

On This Page

Convenience functions