https://github.com/valinsogna/c-_rbt_project
Implementation of Red-Black Tree class in C++
https://github.com/valinsogna/c-_rbt_project
cpp red-black-tree templates
Last synced: 6 days ago
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Implementation of Red-Black Tree class in C++
- Host: GitHub
- URL: https://github.com/valinsogna/c-_rbt_project
- Owner: valinsogna
- License: mit
- Created: 2022-09-10T13:51:46.000Z (about 3 years ago)
- Default Branch: main
- Last Pushed: 2022-09-24T11:11:12.000Z (about 3 years ago)
- Last Synced: 2025-01-22T15:36:40.648Z (9 months ago)
- Topics: cpp, red-black-tree, templates
- Language: C++
- Homepage:
- Size: 313 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# Red-Black Tree in c++
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Implementation of Red-Black Tree class and its iterator in c++
## Compile and Run
- to compile type command `make`
- to run type command `./RBTree.x`
- to delete executable type command `make clean`
## Repository structure
You will find the implementation of the class Red-Black Tree and its iterator inside file `RBTree.cpp` along with a test inside the main.
## Introduction
Red-Black Trees are binary search trees satisfying the following conditions:
- every node is either red or black;
- the root is black
- every leaf (NIL) is black;
- if a node is red, then its children are black;
- for each node x, all the simple paths from x to descendant leaves contains the same number of black nodes.
Thanks to the mentioned properties, it is possible to insert, delete, and
search a value in a red-black tree in time O(log n) (e.g., see [1]).
## Implementation
Implement the generic classes:
- `RBTree>` to represent red-black trees.
- ` RBTree>::const` to represent red-black trees constant iterators.
const iterator must provide the following public methods:
- `const T& operator*() const` to get the value associated to the iterator;
- `const T* operator->() const` to access to the value associated to the iterator;
- `const_iterator& operator++()` to pre-increment the iterator;
- `const_iterator operator++(int)` to post-increment the iterator;
- `bool operator==(const const_iterator&) const` to test whether two iterators are equivalent;
- `bool operator!=(const const_iterator&) const` to test whether two iterators are different.
Moreover, RBTree must provide the following public methods:
- `void insert(const T& value)` to insert a new value in the tree;
- `bool contains(const T& value) const` to test whether the tree con- tains a value;
- `bool delete(const T& value)` to delete a value from the tree;
- `RBTree::const_iterator begin() const` to get a constant tree iterator over all the tree keys;
- `RBTree::const_iterator end() const` to get the last value for a tree iterator.
Few functions showing the classes features are also requested (e.g., by using the Boost test library).
## References
[1]: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. The MIT Press, 2nd edition, 2001
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