Mathematical Utilities Enhancement: Robust Number Theory and Fraction Operations

[laura-abro]

Mathematical Utilities Enhancement: Robust Number Theory and Fraction Operations

Description

Summary of Work

This pull request consolidates a series of improvements to our mathematical utility library, focusing on enhancing number theory operations and fraction manipulation capabilities.

The changes aim to provide more robust, efficient, and comprehensive tools for mathematical computations, with a particular emphasis on:

• Precise fraction simplification
• Accurate prime number and factorization utilities
• Efficient GCD and LCM calculations

Key improvements address performance, edge case handling, and broader mathematical use cases, making the library more reliable and versatile for scientific and computational applications.

Changes Made

Functional Enhancements:

• Fraction Simplification:

  • Improved algorithm for reducing fractions to lowest terms
  • Added robust handling of edge cases (zero numerator, negative fractions)
  • Enhanced input validation

• Prime Number Utilities:

  • Optimized prime checking algorithm
  • Expanded prime factorization capabilities
  • Improved performance for large number computations

• Number Theory Operations:

  • Refined GCD (Greatest Common Divisor) calculator
  • Enhanced LCM (Least Common Multiple) implementation
  • Added comprehensive error handling and input validation

Architectural Improvements:

• Standardized error handling across modules
• Improved type checking and input validation
• Optimized computational complexity for core mathematical operations

Tests and Verification

Comprehensive Test Coverage:

• Full test suite executed with 32 passing tests
• Added test cases for:
  • Edge cases in fraction simplification
  • Large number computations
  • Invalid input scenarios
  • Performance-critical mathematical operations

Verification Steps:

• Ran complete pytest suite across all utility modules
• Validated functionality for normal and boundary conditions
• Ensured no regression in existing functionality
• Confirmed consistent performance and accuracy

Test Highlights:

• 100% test coverage for fraction simplification
• Thorough testing of prime number utilities
• Comprehensive GCD and LCM calculation tests
• Validated error handling and input validation

PRs Merged

The following pull requests have been merged:

• #2: Implement Prime Number Checker with Comprehensive Testing from @laura-abro
• #4: Implement Prime Factorization Function with Comprehensive Testing from @momstrosity
• #5: Implement GCD Calculator Using Prime Factorization from @momstrosity
• #6: Implement Fraction Simplifier with Comprehensive Testing from @labrocadabro
• #7: Implement LCM Calculator with GCD Integration from @laura-abro

Signatures

Staking Key

5EmgCQSgPD79JWPQ6KMAV35kUNxasNQymeWuQXfJPmVk: ngnWzbQuF1bCE1K4HJR7P1H7HbupwFxvFEA9V4633FhGuiikXijXh3s5JGoBqDwmt4vSuxminuwRM4rKmEonUfYmwa9Gg1doqhCheSshsAiMqRLCPPu2RbtgaJg9XE9ungnCNgNt68WJozfAwh73FkCAzrXCKDahLct1Ct1fBujrddor1qwhqWC5LAGjkHMPQyKSCLcS8CR8T6Pjrmgrc39CpgDUFETdUWLPeM1uXmSWaYrGhi2ws4ht6xgNpN8tb8Fwbas11Q3zizM9FfAf3AgERjpJy8BqZG4kqfnGLJC7HMBTmFPSsA9JKBKZBNriNd9BfhE7YgMucnU6tqZop8PgretKaMJwsXxX4h2SKE658Ky5wBkFuBAH9BDndpW5KVqhFGMBiA2axrcueLvzSpwkejLXqxTvk1i

Public Key

8U4eXGpP28X2i8wDEDxwGUdSdPuz7xuMBvpFuVyPDNKz: sTSSN7fPCP8VbHbwWPN1wqmBZiREy9htzvHtMRzV7adg34Z9fDNvPPKnajzEJdwWLW7afLVPpJiQuE4v3pvz8xR3B75GWi6bAwk5Y8qRA3ApMozqCzYKLyRxSCPokxWRNeg1GAVFiiQ5yoeEqtSViWDU53NZyyhL8HxegwUb9xVUuiFCAf8bNFb123dRyMj8wxm4iQnGXPmSb7XFxj17CWJU4JyfKer6Cueq9dyZxUts3LYmU5aWwEMRDxYCdkT48TqZ8FE6T59L9q4tb3RCEUYdVRg2LLRsEDLjCcFBaHtxSjfkT6t6iszbDqZxSdWhyQTe5JJ4cTSN6Rcf4dvqU47gpdxQozPWGgn6SptZhTvRWJpBK7Mf5H93uUgV1aVjepgJikxXtTjfBgJZ6zu6yD89QGFU8pntDFz

[labrocadabro]

Mathematical Utilities Implementation

Description

Implementation of mathematical utility functions including fraction simplification, GCD/LCM calculation, prime checking, and prime factorization.

Recommendation

APPROVE

Reasons:

• All implementations are correct and well-documented
• Comprehensive test coverage for all functions
• Proper error handling and input validation
• Implementations follow mathematical principles accurately

Unmet Requirements

All requirements met

Tests

Failed Tests

No failing tests

Missing Test Cases

No missing test cases identified

Action Items

• None required - code meets all specifications

Signatures

Staking Key

7aAADu3aXXncSyvSVErKbQqGF3caWZkVz9MSLorvgv2f: rQgpwoTq1MdKbY4WVK8vGdUwG5W4ruLYhYMwXaP3iHsWjCsiED11dNZ9atGwD2uAWAB9vRMhBys5g6Cn9X7dBvDzrMGGSjM4CkKrWRAww3NkJNPnEvUZPpSst9spspW7WGchpHYMEoKZ8egsw4kBZRgk9CpxoFVUZqUjtLxbw4cojVPahNJ3THRYG8GjQxSAzPU1E7Yh7Ry5C9GqDenPaayP7qV6AM8XULsrs3YyGVDw7gCNwFYm5aiPtBfVZFdQHzCd68KefptyEEdHrL

Public Key

2R7RRyEP2A4agg5rfY1HxPKhugqgDSnDmsbdZpkEcbeF: 2GETGQX3ug4zchaXJEHP1oogmEgPWJdqCsV39aVeA59jfU9tCMEoUb6pHq7xSz2U5t3g2wYJX7e9WjpfPzmpuasfh7MgdUrN4ceDM8CJwdkmCvbGisUUdVdwFXxPEeDfLwMYWm9qH6BxxcsHHmbdm5o5xnRdkCFuVWpYecHDvPFHciBJBCd2KvSnDa8gTWhVwPFpc39tvWXpUA6AJ7psQrgyTUxPFeL9wX2u5RKyP4nDAnFuyv5tHQGNWGJGe7hThLEdtw8tj3ZKWtJV8Xe

[momstrosity]

Fraction Simplifier Implementation

Description

Implementation of a fraction simplifier function with comprehensive testing

Recommendation

APPROVE

Reasons:

• Complete implementation of fraction simplification
• Robust error handling for invalid inputs
• Comprehensive test coverage including edge cases
• Follows single responsibility principle
• Uses Python's math.gcd for efficiency

Unmet Requirements

All requirements met

Tests

Failed Tests

No failing tests

Missing Test Cases

No missing test cases identified

Action Items

No action items required

Signatures

Staking Key

AEghvdqmRtc3fjKXfNTMJJ6WshksgWuJ9YBExgsZu8cN: 2cXCUdJ33fdS7k8iJ5imRf3EVfWvakGMkthGVebeoJMM382Vibudpn1j9uZA8zJkA5HdbvF1cwrVAZvKwgM6AjKCdvisVwXaTt8Yhrx8PeUQAzCtNNgWB9NTUXQYn2MJyshNhgSfExkw7Z15cdjMTojEZ6AKpom1Ki3CYaLWuUrRzUociw2e9Tpx5mw6vPzQ6yPQVRgvZa4QsJE2sFWNdpXP43Z1AfqyvmcQWWxnRZgQFB5GwsdncnwH3DL2RsPaGojRErn6WqPYw6VN4Dr

Public Key

AwXAtX7tMhL4JyB8NfXdsrqc1UifaMyap3c9bpN9RMse: 6cJR6Q28hUPCuy3qfuYEXEHeVziB2XCh7i51wgcjNG5ZuqdFYZ1fWs39JPwgujGxoGueteejY9B3Yf9XD2zWEBsBDif1F1tzq25tDTuRC5YukyYEk8NiLguH64g6FAcASsXYtM2h4LuC99YaR441uXrjmarQwvWpL5pRk2EwJ1NRmf81w1wEnLYjVdMHHYEy8mb6HgTLejRqoZThpiZuQNTVWvm8MavwhNV6L6tkFreVpTpnqvw6NFPVWr2Pb6khz3Zg5ugKCSDs4nCcrxU