README
Red-black tree module
Red-black tree based on:
- Chris Okasaki. Red-black trees in a functional setting. J. Funct. Program., 9(4):471–477, 1999.
- Kimball Germane and Matthew Might (2014). "Deletion: The curse of the red-black tree." Journal of Functional Programming, 24(4), pp 423-433. July 2014.
Modifications include:
- keeping track of number elements to support multiset (aka. bag)
- keeping track of number of elements in children – to answer range queries on counts (ie. percentile on multiset)
Keeping track of those counts doesn't increase complexity of operations. This is due to functional/immutable implementation. Updating counts doesn't require any traversal. Node creation has to keep sum of their immediate children, which is constant time operation.
Usage
npm i -E @prelude/rb-tree
import * as RbTree from '@prelude/rb-tree'
import * as Cmp from '@preluce/cmp'
const rb = RbTree.of(Cmp.strings)
RbTree.insert(rb, 'foo')
RbTree.insert(rb, 'bar')
console.log(RbTree.has(rb, 'foo')) // true
console.log(RbTree.has(rb, 'baz')) // false
for (const _ of RbTree.each(rb)) {
console.log(_)
}
// bar
// foo
License
MIT License
Copyright 2021 Mirek Rusin
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:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
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