xtaci/algorithms

Features

• Algorithm Implementations - Provides a comprehensive collection of classical algorithm and data structure implementations for server-side use.
• Algorithm Libraries - Provides a comprehensive collection of classical algorithms implemented as a header-only C++ library.
• Data Structures - Provides a diverse set of data structures including hash tables, skip lists, and red-black trees.
• Data Structure Implementations - Provides header-only implementations of core hierarchical structures including AVL, Red-Black, and B-Trees.
• Priority Queues - Implements priority queues using binary heaps to efficiently extract minimum or maximum items.
• Graph Theory - A C++ toolkit for computing shortest paths, maximum flow, and minimum spanning trees.
• Graph Libraries - Provides a suite of graph algorithms for calculating shortest paths, maximum flow, and minimum spanning trees.
• Graph Topology Analysis - Analyzes graph topology by identifying strongly connected components and minimum spanning trees.
• Hash Data Structures - Organizes information using hash tables and balanced trees to achieve logarithmic lookup times.
• Hash Table Implementations - Implements a complete hash table storage structure using separate chaining to resolve collisions.
• Self-Balancing Tree Implementations - Implements balanced search trees, including AVL, Red-Black, and B-Trees, for logarithmic lookups.
• Key-Value Pair Managers - Implements key-value mapping using hash tables and universal hash functions for efficient retrieval.
• Collection Sorting - Provides utilities for ordering elements within collections using quicksort, merge sort, and radix sort.
• B-Tree - Implements B-Tree structures to maintain sorted collections supporting efficient sequential access and deletions.
• Text Processing - Provides high-performance string processing including KMP pattern matching, tries, and Chinese text segmentation.
• Header-Only Libraries - Utilizes a header-only library design to simplify integration and enable compiler inlining.
• Doubly Linked Lists - Implements bidirectional record sequences allowing efficient traversal in both directions.
• Balanced Search Trees - Implements self-balancing tree data structures, including AVL trees, to maintain logarithmic operation complexity.
• Red-Black Trees - Provides red-black tree implementations to ensure logarithmic time complexity for data storage and retrieval.
• Prefix Trees - Implements trie data structures for efficient string-based retrieval and common prefix identification.
• Stack Structures - Implements last-in, first-out data management mechanisms with fixed capacity bounds.
• Skip Lists - Implements probabilistic linked list structures to maintain sorted data with logarithmic search performance.
• Hashing Algorithms - Implements various hashing algorithms for mapping arbitrary data to fixed-size values for efficient indexing.
• FIFO Queues - Implements first-in, first-out queues using circular buffers for efficient element management.
• Generics & Templates - Employs template-based generic programming to ensure data structures work across multiple types.
• Binary Search Trees - Implements binary tree structures that maintain ordering properties for efficient data retrieval.
• String Processing Toolkits - Provides a comprehensive set of tools for text analysis using suffix arrays, tries, and pattern matching algorithms.
• Graph Analysis Algorithms - Implements core graph theory algorithms such as strongly connected components and minimum spanning trees.
• Minimum Spanning Tree Algorithms - Provides Prim and Kruskal algorithms to identify the minimum spanning tree in weighted graphs.
• Shortest Path Algorithms - Implements Dijkstra and Bellman-Ford algorithms to compute the shortest paths in graphs.
• Divide and Conquer Sorts - Implements classical divide-and-conquer sorting algorithms to achieve logarithmic time complexity.
• Sorting Algorithms - Implements a comprehensive set of classical sorting algorithms for organizing data collections.
• Strongly Connected Components Algorithms - Partitions directed graphs into subgraphs where every vertex is mutually reachable.
• Cryptographic Hash Functions - Implements the SHA-1 algorithm to produce 160-bit message digests based on FIPS standards.
• Cryptographic Hash Generation - Generates data fingerprints and checksums using standard SHA-1 and MD5 implementations.
• Data Encoding & Digesting - Implements Base64 encoding and cryptographic digests including MD5 and SHA-1.
• MD5 Hash Generation - Provides a full implementation of the MD5 algorithm to generate 128-bit message digests.
• Cryptographic Hash Computations - Provides implementations of SHA-1 and MD5 to generate secure fixed-size data digests.
• String Indexing Structures - Constructs suffix arrays and trees for high-performance, linear-time string indexing and pattern matching.
• General Purpose - Implements a comprehensive suite of sorting methods including Quicksort, Merge sort, Radix sort, and Shell sort.
• Suffix Array Construction - Provides suffix array construction for efficient string pattern matching and analysis.
• Suffix Trees - Constructs compressed trie structures containing all string suffixes for rapid pattern matching.
• K-Means Clustering - Implements the K-means algorithm for centroid-based partitioning of unlabeled data points.
• Perfect Hashing - Provides a two-level hashing strategy to achieve constant-time lookups for fixed key sets.
• Universal Hashing - Implements a randomized hashing strategy to minimize performance-killing collisions.
• Membership Filters - Uses specialized filters like Bloom filters to optimize data membership lookups.
• High-Performance Text Processing - Uses suffix trees and arrays for high-performance pattern matching and text analysis.
• Probabilistic Membership Filters - Provides Bloom filters for memory-efficient, probabilistic set membership testing.
• Bloom Filters - Implements Bloom filters for memory-efficient probabilistic set membership testing.
• Multi-Level Indexing - Implements hierarchical indexing using skip lists and B-Trees for fast data retrieval.
• Breadth-First Search - Implements breadth-first search for visiting graph nodes level by level.
• Network Flow Algorithms - Calculates maximum flow in a network using the Edmonds-Karp implementation of Ford-Fulkerson.
• Maximum Flow Calculation - Computes the maximum flow from source to sink using a relabel-to-front push-relabel algorithm.
• Disjoint-Set - Implements union-find structures to track partitioned elements and determine connectivity between sets.
• Depth-First Search Algorithms - Implements depth-first search for exploring graph branches as deeply as possible before backtracking.
• Bit-Vector Set Implementations - Provides high-performance bit-vector set implementations for memory-efficient boolean state tracking.
• Linear Collections - Implements sequential linear collections such as stacks, queues, and doubly linked lists.
• Longest Common - Identifies the longest common subsequence between two arrays using dynamic programming.
• Binary Lifting Traversal - Provides binary lifting for fast ancestor navigation and lowest common ancestor queries in trees.
• Huffman Coding Implementations - Implements Huffman coding for lossless data compression using variable-length binary codes.
• Number Theory Algorithms - Implements number theory algorithms for primality testing and arbitrary-precision integer arithmetic.
• A-Star Search - Implements A* search to find an efficient path between two nodes in a graph.
• Longest Palindromic Substring Algorithms - Implements algorithms to identify the longest contiguous palindromic substring within a given text.
• Primality Testing - Implements primality verification using trial division and the Miller-Rabin test.
• Prime Number Verifiers - Provides primality verification using trial division and the Miller-Rabin method.
• Maximum Subarray Sums - Finds the contiguous subarray with the largest sum within a numeric array.
• Binary-to-Text Encoding - Provides both cryptographic hashing and binary-to-text encoding via Base64.
• Binary-to-Text Encodings - Transforms binary data into Base64 ASCII strings for safe text-based transmission.
• Common Ancestor Algorithms - Implements binary lifting algorithms to efficiently find the lowest common ancestor of two tree nodes.
• Fibonacci - Implements Fibonacci heaps to provide efficient amortized priority queue operations.
• Arbitrary-Precision Arithmetic - Implements mathematical operations for integers that exceed standard fixed-width numeric limits.
• Priority Queues - Provides priority queue implementations based on heaps for managing prioritized elements.
• Linear-Time Integer Sorts - Provides a radix sort implementation to order 32-bit unsigned integers in linear time.
• String Hashing Techniques - Implements string hashing using FNV-1a and Java algorithms to map text to numerical values.
• Substring Search Algorithms - Provides algorithms for locating the starting position of specific substrings within indexed text.
• Algorithms and Snippets - Algorithms and data structures implemented in C++.

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