Crate fingertrees

Finger Trees

Finger trees is a functional representation of persistent sequences supporting access to the ends in amortized constant time, and concatenation and splitting in time logarithmic in the size of the smaller piece. It also has split operation defined in general form, which can be used to implement sequence, priority queue, search tree, priority search queue and more datastructures.

Links:

• Original paper: Finger Trees: A Simple General-purpose Data Structure
• Wikipedia article: FingerTree

Notes:

• This implementation does not use non-regular recursive types as implementation described in the paper. As rust's monomorphization does not play well with such types.
• Implmentation abstracts over reference counted types Rc/Arc. Using type family trick.
• Uses strict spine in implementation.
• Iterator returns cloned value, and in general this implementation assumes that value stored in a tree is cheaply clonable, if it is not you can always put it in a Rc/Arc or anything else.

Examples:

use fingertrees::measure::Size;
use fingertrees::monoid::Sum;
use fingertrees::{FingerTree, Measured, RcRefs};

// construct `Rc` based finger tree with `Size` measure
let ft: FingerTree<RcRefs, _> = vec!["one", "two", "three", "four", "five"]
    .into_iter()
    .map(Size)
    .collect();
assert_eq!(ft.measure(), Sum(5));

// split with predicate
let (left, right) = ft.split(|measure| *measure > Sum(2));
assert_eq!(left.measure(), Sum(2));
assert_eq!(Vec::from_iter(&left), vec![Size("one"), Size("two")]);
assert_eq!(right.measure(), Sum(3));
assert_eq!(Vec::from_iter(&right), vec![Size("three"), Size("four"), Size("five")]);

// concatinate
assert_eq!(ft, left + right);

// push values
assert_eq!(
    ft.push_left(Size("left")).push_right(Size("right")),
    vec!["left", "one", "two", "three", "four", "five", "right"]
         .into_iter()
         .map(Size)
         .collect(),
);

Re-exports

pub use measure::Measured;

pub use monoid::Monoid;

Modules

measure	Measured trait and implementations
monoid	Monoid trait and implementations
rc	Rc based implementation of FingerTree
sync	Arc based implementation of FingerTree

Macros

fingertree_define_refs

Helper macro to define custom Refs for FingerTree

Structs

FingerTree

FingerTree implemenetation

Enums

ArcRefs	References type family
FingerTreeInner	Only visible to defne custom Refs
NodeInner	Only visible to defne custom Refs
RcRefs	References type family

Traits

Ref	Interface that all reference types should impelmenet
Refs	Interface which defines all reference types needed by finger tree implementation.