Robust Mathematical Utilities: Prime Operations and GCD Optimization

[momstrosity]

Robust Mathematical Utilities: Prime Operations and GCD Optimization

Description

Summary of Work

Overview

This pull request consolidates a comprehensive set of mathematical utility functions, focusing on prime number operations and greatest common divisor (GCD) calculations. The goal is to provide a reliable, efficient, and well-tested suite of mathematical tools with strong computational capabilities.

Key Objectives

• Implement robust prime-related mathematical operations
• Provide efficient algorithms for number theory computations
• Ensure high-quality, well-documented, and thoroughly tested utilities

Technical Highlights

• Advanced prime factorization with optimal time complexity
• Comprehensive input validation and error handling
• Flexible GCD calculation using prime factor decomposition
• Support for various input scenarios, including edge cases

Benefits

• Improved computational accuracy
• Enhanced performance for mathematical operations
• Consistent and predictable behavior across different input types
• Solid foundation for more complex mathematical algorithms

Design Principles

• Algorithmic efficiency (O(√n) complexity)
• Comprehensive error handling
• Clear, readable, and maintainable code
• Extensive test coverage

Changes Made

• Implemented prime number checking algorithm
• Developed robust prime factorization function
• Created flexible GCD calculation method
• Added comprehensive input validation
• Optimized computational approaches for number theory operations

Tests and Verification

• Implemented 16 comprehensive test cases
• Covered edge cases, large numbers, and input validation
• Verified algorithmic correctness across various scenarios
• Ensured 100% test coverage for all mathematical utility functions
• Validated performance and accuracy of prime and GCD operations

PRs Merged

The following pull requests have been merged:

• #8: Implement Efficient Prime Number Checker with Comprehensive Testing from @momstrosity
• #9: Implement Efficient Prime Factorization Function with Comprehensive Testing from @laura-ct
• #10: Implement GCD Calculator Using Prime Factors Decomposition from @momstrosity

Signatures

Staking Key

AEghvdqmRtc3fjKXfNTMJJ6WshksgWuJ9YBExgsZu8cN: BZURhVG2Xyr5XthgSV3Cggjyg1fRFm5KEmfjigkfVJxuW7ruCxqQ9XYT8PPfJbyzG5skVCJqrAxut3EZLBJChT5HPNAzD6ddShneUBK7kRzeDeUG7an4SSSzSzFu81QdRgrnDg3tPQqXgdVUUViWjK9HmTsdKeF6KFHYpopTJqumnVTnTyJknBFQtJwHJ6pAqdjWE7AxZobjuP5zXLMxTcu34uJvhqQ7kGii84CWF11WmkSBd2kYE8g2qjEMjh5qpxMmz96CzBeMh4Xk39ZeVYzEvBqtv18gonNs8ShESJ1xqetFKGWUzKGnA4StAcAQ7XkzgjfsKoWCyXirRJaA4onymSnQHSQXz7izWFvL7Fo7fw5KUsaCYs8payc4asqVizc24Yzs1ndMHYAFBzdCynYs5xTboWY88mdGQ

Public Key

AwXAtX7tMhL4JyB8NfXdsrqc1UifaMyap3c9bpN9RMse: ASJZeRcdC7sGRf3dQEBf6Zzm1eiYF7wim58D2NyJhzt6VydpmNZfYYYAhATHoJ49EZGJeHvMzNJhKLStAXcLxFXEVmoi2q7jWz3WKCTu7GsMpe5KUfkFVTwaYDBsVZoxCv2bJAp56jB1NtPNcB1dGifiiUpsBfMZQ2VDxgq3vFKU64whjRHZZXFvoHL3pbo7JDWiJrnAY9xPm2r72owSXoEjAfpd7nkhvGp1A41L6RVDURptsUYyu59ahGR9ELqztTXbWXHv65aBAQNXyyR9J9jaZdZMYi2VWYv4Sq9FKTyZaMTtZi8D3uUVPBLssWpAASz6d76bau45KpWSPFgYjuQDc8DK54QpUNzH5JGeq4v4wgzqLJx3zSHF48yefGFEz2FvYiSoaQSXPx6bntFL5sh4SsaYHuAA9rbCp