Collection of basic algorithms for everyday development

LIst of algorithms:

Search algorithms:

• Binary search
• Bloom Filter
• Binary Tree

Segment Tree:

• RSQ (Range Sum Query)
• RMQMin (Range Minimum Query)
• RMQMax (Range Maximum Query)

Sparse Tables:

• SparseTableMin (Range Minimum Queries)
• SparseTableMax (Range Maximum Queries)

String Algorithms:

• Knuth–Morris–Pratt string-searching algorithm (or KMP algorithm)
• Trie or prefix tree
• Levenshtein distance (Metric of the difference between two symbol sequences)
• Search for the minimum string period
• Search distinct substrings
• Suffix Array
• The Longest Common Prefix
• Search for a common substring (hashing)
• Algorithm Aho Corasick. Search for a set of substring from the dictionary in the given string.

Combinatorics and enumeration algorithms

• Permutation generation

Graph algorithms:

• BFS (Breadth-First Search)
• DFS (Depth-First Search)
• Dijkstra
• Connected components
• Strongly connected components
• Topologic sort (for DAG)
• Kruskal's algorithm

Mathematics algorithms:

• The Greatest Common Divisor (GCD)
• Fast pow
• Fast pow by module
• Checking a Number for Simplicity (Fermat's test)

Data compression:

• Huffman algorithm

Data Structure:

• DSU (disjoint-set-union)

Sheduling:

• Johnson's Algorithm For Scheduling

Example

extern crate librualg;
use librualg::*;

fn main(){
    let seq = [1, 2, 3, 3, 4, 5];
    assert_eq!(binary_search::upper_bound(&seq, &3), Some(3));
}