A collection of various algorithms in OCaml

Licensed under ISC license.

baltree : Generic balanced-tree

A binary tree with smart constructors that ensure the resulting tree is balanced.

This data structure can be used as a primitive on top of which one can easily build balanced data structures, including but not limited to binary search trees.

For instance, implementing stdlib-like Set/Map is trivial and suffers only a ~5 % overhead (and one gains a O(1) length/cardinal operation).

trope : Track objects accross rope-like operations

This data structure allows efficient implementation of text markers for text editors (see Emacs Markers).

More generally it allows to track the movement of objects on a line where chunks are added and removed, with queries O(log n) amortized time.

Finally, it is persistent so you easily compare markers movement between different revisions.

orderme : Order-maintenance problem

See Order-maintenance problem for a detailed description of what this intent to solve.

Main algorithm follows the amortized solution from "Two Simplified Algorithms for Maintaining Order in a List", Michael A. Bender, Richard Cole, Erik D. Demaine, Martín Farach-Colton, and Jack Zito..

A managed implementation provide finer integration with OCaml GC to collect items that are no longer reachable via the public API.

binpacking : Maxrects rectangle packing implementation

An implementation of Maxrects packing algorithm in 2D. This algorithm try to pack a maximum number of 2d boxes inside a 2d rectangle.

See Even More Rectangle Bin Packing

Useful for generating spritesheets, texture atlases, etc.

doubledouble : Floating points with around 107-bits precision

An implementation of double-double arithmetic.

Code is translated from DD by Martin Davis. See tsusiatsoftware for more information.

dset : Diff-set

Combinators to construct abstract sets and compute symmetric differences.

Although not formally proven, when used in a linear fashion the cost of the difference should be O(n) in the number of differences.

For interactive applications like user interfaces, this means we can track usage of resources at a O(1) cost.

hll : HyperLogLog

An implementation of the HyperLogLog probabilistic cardinality estimator. See HyperLogLog.

jmphash : Jump consistent hashing

An implementation of "A Fast, Minimal Memory, Consistent Hash Algorithm" from John Lamping and Eric Veach.

physh : Physical hashtable

Hashtables indexing OCaml values by their physical indentities. A proof-of-concept, playing with the GC in tricky ways.

Its main purpose is to efficiently observe sharing, detect cycles, etc, in arbitrary OCaml values without having to stop and stay out of the OCaml runtime.

Can be used to experiment and learn about the GC but do expect bugs and don't expect any kind of compatibility with future OCaml versions. (Would be nice to have proper upstream support for such feature though!)

valmari : Valmari's DFA minimization algorithm

An implementation of the algorithm desribed in Fast brief practical DFA minimization by Valmari et al.

The tests and some fixes come from WalkerCodeRanger/dfaMinimizationComparison, thanks!

pcg : PCG random generator

Playing with PCG generators in OCaml. Not even alpha, consider this doesn't exist.