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Copyright 2012 Kristopher Michael Kowal. All rights reserved. | |||
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Permission is hereby granted, free of charge, to any person obtaining a copy | |||
of this software and associated documentation files (the "Software"), to | |||
deal in the Software without restriction, including without limitation the | |||
rights to use, copy, modify, merge, publish, distribute, sublicense, and/or | |||
sell copies of the Software, and to permit persons to whom the Software is | |||
furnished to do so, subject to the following conditions: | |||
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The above copyright notice and this permission notice shall be included in | |||
all copies or substantial portions of the Software. | |||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | |||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | |||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | |||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | |||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING | |||
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS | |||
IN THE SOFTWARE. | |||
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A binary splay tree is a balanced binary tree that rotates the most | |||
frequently used items toward the root such that they can be accessed the | |||
most quickly. This CommonJS package includes a `SplaySet` and | |||
`SplayMap` in `splay-set` and `splay-map` modules. | |||
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Additionally, this implementation applies the insight that any Map can | |||
be implemented in terms of a Set provided that you can override | |||
functions that operate on the values within that set. All of the splay | |||
tree reference implementations opted to implement a map interface | |||
instead. | |||
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Both `SplaySet` and `SplayMap` implement a `log` function which can | |||
produce NPM-style visualizations of the internal state of the splay | |||
tree. | |||
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``` | |||
> set.log(SplaySet.ascii) | |||
.-+ -3 | |||
| '-- -2 | |||
.-+ -1 | |||
+ 0 | |||
| .-- 1 | |||
'-+ 2 | |||
'-- 3 | |||
``` | |||
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``` | |||
> set.log(SplaySet.unicodeRound) | |||
╭━┳ -3 | |||
┃ ╰━━ -2 | |||
╭━┻ -1 | |||
╋ 0 | |||
┃ ╭━┳ 1 | |||
┃ ┃ ╰━━ 2 | |||
╰━┻ 3 | |||
``` | |||
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## References | |||
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- a SplayTree impementation buried in Fedor Indutny’s super-secret | |||
[Callgrind](https://github.com/indutny/callgrind.js). This | |||
implementation uses parent references. | |||
- a SplayTree implementation adapted by [Paolo | |||
Fragomeni](https://github.com/hij1nx/forest) from the V8 project and | |||
based on the top-down splaying algorithm from "Self-adjusting Binary | |||
Search Trees" by Sleator and Tarjan. This does not use or require | |||
parent references, so I favored it over Fedor Indutny’s style. | |||
- the interface of ECMAScript harmony [simple maps and | |||
sets](http://wiki.ecmascript.org/doku.php?id=harmony:simple_maps_and_sets) | |||
- a SplayTree implementation from [JavaScript data | |||
structures](derrickburns/Javascript-Data-Structures) mainted by | |||
Derrick Burns that supports change-resilient iterators and a | |||
comprehensive set of introspection functions. | |||
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## Future work | |||
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- tests | |||
- docs | |||
- incorporate all array-like methods | |||
- incorporate iterability | |||
- incorporate comprehensive introspection functions for slicing ranges | |||
- hash string map and set, using underlying object | |||
- relax unique content constraint on splay trees to implement splay | |||
list and splay multi-map | |||
- LRU cache sets and maps | |||
- ARC cache sets and maps | |||
- linked list types | |||
- trie set and map | |||
- immutable set and map structures using hash tries | |||
- heap | |||
- binary heap | |||
- observable variants of all collection types | |||
- alternative module systems song and dance | |||
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