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-0.14.tbz

sha256=e5362e6ad0e888526517415e78b9e8243bb0cc1b0c952201884148832ac4442f

sha512=4e2f16b52b3c2786a1b8e93156184fd69d448cea571ca839b6cb88ab73f380994d1561fe24c1523c43ed8fc42d2ac01b673a13b6151fff4af4f009923d3aaf37

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