https://github.com/skyzh/data-structure-deque

A deque of O(sqrt n) complexity on access, insert and remove, with an optimization for O(log n) access based on fenwick tree.
https://github.com/skyzh/data-structure-deque

binary-indexed-tree cpp deque fenwick-tree

Last synced: 13 days ago
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A deque of O(sqrt n) complexity on access, insert and remove, with an optimization for O(log n) access based on fenwick tree.

• Host: GitHub
• URL: https://github.com/skyzh/data-structure-deque
• Owner: skyzh
• License: mit
• Created: 2020-02-17T06:05:24.000Z (over 4 years ago)
• Default Branch: master
• Last Pushed: 2020-02-17T06:25:54.000Z (over 4 years ago)
• Last Synced: 2024-04-14T12:45:03.812Z (2 months ago)
• Topics: binary-indexed-tree, cpp, deque, fenwick-tree
• Language: C++
• Homepage: https://gist.github.com/skyzh/2597b532ad191036ae4a6dc785859e5b
• Size: 27.3 KB
• Stars: 5
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Lists

• awesome-cs - @skyzh, 2019 Spring

README

        
# data-structure-deque

A deque of O(sqrt(n)) complexity on access, insert and remove, with an optimization for O(logn) access based on fenwick tree.

You may found the optimized version [here](https://github.com/skyzh/data-structure-deque/blob/master/deque_fenwick_tree_vector.hpp).

This one is four times faster than [Sqrt Vector](https://github.com/skyzh/data-structure-deque/blob/master/deque_sqrt_vector.cpp)

version on large data.

This repo is migrated from my [GitHub gist](https://gist.github.com/skyzh/2597b532ad191036ae4a6dc785859e5b).

## Failed Attempts and Other Implementations

* [Linked List](https://github.com/skyzh/data-structure-deque/blob/master/deque_linkedlist.cpp): O(n) access, O(1) insert & remove

* [Ring Buffer](https://github.com/skyzh/data-structure-deque/blob/master/deque_ring_buffer.cpp): O(1) access, O(n) insert & remove (Like the one bundled with GNU C++ STL)

* [Sqrt Vector](https://github.com/skyzh/data-structure-deque/blob/master/deque_sqrt_vector.cpp): O(sqrt(n)) access, O(sqrt(n)) insert & remove

* [Chunk Vector](https://github.com/skyzh/data-structure-deque/blob/master/deque_vector_chunk.cpp): O(n/chunk_size) access, O(n) insert & move

## Related Works

Another data-structure project I've done is a [B+ Tree](https://github.com/skyzh/BPlusTree) built from scratch.

This B+ tree supports on-disk persistence, on-demand paging and LRU. I've written several unit tests for it.