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Trees where leaves are located both in time and space

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Ranked trees

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Compatible with Clojurescript.

Feel free to clone this repo, the examples below located are in the dvlopt.rktree.example namespace. See the "Development" section at the end of this document.

Usage

A ranked tree is a peculiar but interesting data structure. It is a form of nested maps where leaves are located both in time and space. It comes in handy for problems that needs some form of prioritization.

More specifically, it is a complex of nested maps where former levels are sorted and latter levels are unsorted.

Following this definition, the following qualifies as a ranked tree:

(def my-tree
     (sorted-map 0 (sorted-map 1 {:a {:b 'leaf-1}})
                 5 {:a {:d {:e 'leaf-2}}}))

Each leaf has two paths, one "horizontal" and one "vertical" (borrowing vocabulary from the litterature). We shall rather talk (respectively) about ranks providing a notion of time and a path providing a notion of space.

Thus, 'leaf-1 is said to be located at [:a :b] and ranked at [0 1]. Similarly, 'leaf-2 is said to be located at [:c :d :e] and ranked at [5]. We specify both the ranks and the path when we want to get something out of this tree:

(require '[dvlopt.rktree :as rktree])

(= 'leaf-1
   (rktree/get my-tree
               [0 1]
               [:a :b]))

Ranks provid prioritization, a lower rank meaning a higher priority, 0 being the highest priority. When we pop the tree, we receive whatever resides at the ranks with the highest priority. More precisely, we receive [popped-tree ranks unsorted-node]:

(= (rktree/pop my-tree)

   [(sorted-map 5 {:a {:d {:e 'leaf-2}}})
    [0 1]
    {:a {:b 'leaf-1}}])

Interestingly, as you might have noticed, different leaves can have ranks of different length. This library handles that automagically. Remember we already have 'leaf-1 located at [:a :b] and ranked at [0 1]. What if we assoc something past those ranks?

(def my-tree-2
     (rktree/assoc my-tree
                   [0 1 0 0 0 5]
                   [:possible?]
                   true))

;; Notice that 'leaf has been re-prioritized from [0 1] to [0 1 0 0 0 0].
;; Order is actually maintained as before, but we can account for the new
;; addition above.

(= 'leaf-1
   (rktree/get my-tree-2
               [0 1 0 0 0 0]
               [:a :b]))

;; But notice that we can still use the original ranks!

(= 'leaf-1
   (rktree/get my-tree-2
               [0 1]
               [:a :b]))

We have discovered a few recognizable functions such as assoc and get. The API provide other ones (dissoc, update, and friends), all acting on this idea of having ranks and a path.

Serialization

Some serializers make a distinction between sorted maps and unsorted ones. For instance, Nippy does.

But Transit does not.

The user can add the following dependency along side Transit-clj or Transit-cljs:

Clojars Project

This package provides a read handler and a write handler for sorted maps:

(require '[dvlopt.rktree.transit :as rktree.transit])

rktree.transit/read-handler

rktree.transit/write-handler

Running tests

On the JVM, using Kaocha:

$ ./bin/test/jvm/run
$ ./bin/test/jvm/watch

On NodeJS, using Kaocha-CLJS:

$ ./bin/test/node/run
$ ./bin/test/node/watch

In the browser, using Chui:

$ ./bin/test/browser/compile
# Then open ./resources/chui/index.html

# For testing an advanced build
$ ./bin/test/browser/advanced

Development

Starting in Clojure JVM mode, mentioning an additional deps alias (here, a local setup of NREPL):

$ ./bin/dev/clojure :nrepl

Starting in CLJS mode using Shadow-CLJS:

$ ./bin/dev/cljs
# Then open ./resources/public/index.html

License

Copyright © 2020 Adam Helinski

Licensed under the term of the Mozilla Public License 2.0, see LICENSE.