Mathematical Utility Enhancement: Robust Number Theory and Fraction Handling

[momstrosity]

Mathematical Utility Enhancement: Robust Number Theory and Fraction Handling

Description

Summary of Work

This pull request consolidates improvements to our mathematical utility library, focusing on enhancing number theory operations and fraction manipulation. The changes provide more robust, efficient, and comprehensive support for mathematical computations across various domains.

Key Objectives:

• Improve precision and reliability of mathematical operations
• Enhance error handling and input validation
• Provide consistent and well-tested utility functions for number theory calculations

The updated library now offers more comprehensive support for prime number analysis, fraction simplification, and fundamental mathematical operations like GCD and LCM calculations.

Changes Made

Functional Improvements:

• Enhanced prime number detection with optimized algorithms
• Implemented robust fraction simplification with comprehensive edge case handling
• Improved Greatest Common Divisor (GCD) calculation for various input scenarios
• Extended Least Common Multiple (LCM) calculation with multi-number support

Architectural Enhancements:

• Standardized error handling across mathematical utility modules
• Implemented consistent input validation mechanisms
• Optimized computational complexity for prime factorization and number theory operations

Key Modules Updated:

• Prime Checker: Refined prime detection algorithm
• Fraction Simplifier: Added support for negative and large number fractions
• GCD/LCM Calculators: Improved numerical precision and error handling
• Prime Factorization: Enhanced algorithm efficiency and error management

Tests and Verification

Comprehensive Test Coverage:

• Added 28 detailed test cases across all mathematical utility modules
• Verified functionality for:
  • Standard and edge case scenarios
  • Large number handling
  • Error input validation
  • Negative number processing

Test Verification:

• Full test suite passed (28/28 tests)
• Covered scenarios include:
  • Fraction simplification for various input types
  • Prime number detection
  • GCD and LCM calculations
  • Prime factorization

Performance and Reliability:

• Ensured no regressions in existing functionality
• Maintained computational efficiency
• Improved overall library robustness

PRs Merged

The following pull requests have been merged:

• #154: Implement Prime Number Checker Function with Comprehensive Testing from @labrocadabro
• #155: Implement Prime Factorization Function with Comprehensive Tests from @labrocadabro
• #156: Implement GCD Calculator Using Prime Factorization Method from @labrocadabro
• #157: Implement LCM Calculator Using GCD Method from @labrocadabro
• #158: Implement Fraction Simplification with GCD Support from @laura-abro

Signatures

Staking Key

Dxcv6GfEXQ7Jq1F7iGkmcPJFkQkgrkmyTGxjQSNNron9: A97FKS6sjGQzEPGcG5NubBUmgbZFsZzsdn58Xdk7jwS3iuQn39fpKXSMscj8zKQMqmHpmkLcvW67fSd3CJFqsqQLmoUXx5zaUbvcrfsLQsSha3ZyUD9KTRTQGmbCH1xXmGR3CW3XUXQ9eC9amkcjiUHXa3PzeCSt316dUPG8DG6ymV9bJPtdRoywvEi81TZa5tbaMoLCq8WX5A177K588y9Wsb5s6qqKj835HJtpnBYPfRBcLUQx3EcB2oJw561pDQwH7FbRFzSGrhghzRL4BPB6z2bLRavFdRJswxP9zficghTvvX6PtNGmfzd788ayn43AWaygXtXNqBnYj54q8ypKXbKAZuBprWfJ7dsRJZNgj9PCR7VN7eGGxLWQ

Public Key

CcFDePpTczeCbUyUP5gKCP1eXHJVrfG2GBpMYYMjvaHL: 6cvM5xEXmKgTf7x7gkz3NdtqXnTfDDN5ivAETscF7KCvNirhYksTgRNASVTWbiuGdY9i9D2yCGELnndrQFwTgBq1X9amfHme19Gtsvk6iAzHcW78eY5roXKNKc8dPhaCjQpVhzRjYMJR2mte1AsoXZ7nfiHGqpCdci5CaJb2hUipBhpjr5bhGRT51eb4edYSm3ZhREKnD1J3mEzBGA5qxGLy593NhxgTXrqiaHB9urJtyyXvDGkuHEQBRkTidGhZcT5TEP5WHWE8GEPrmE71VAaMXWZUjECrpPMjvvxvEYU1W34kcQtWKWvo75SRFmJWQb1xmoL5kDQ9QvjoHbggmTGSCqxDtTobBAVSZ3vjnfp5ZhzVPQzW6FBFHkp

[labrocadabro]

Math Utility Functions Implementation

Description

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

Recommendation

APPROVE

Reasons:

• All tests passed successfully
• Implementation follows clean code practices
• Comprehensive error handling implemented
• Modular design with clear function responsibilities

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

BiYiK5ioyqd6c2pPvvjaSzLAhR8MMvBordhBnh9CordT: 7DDmt3ZMEKy7EQ4tSi6qXV2xaDazL3LLQFHfnNu4xvakuGe3Lw3cGfxAoLZ4RmPZNi5DD2ZJdFutwS5mUx2DFJVfgxYihPxn6UsvkZKTbrtExSZRoVbPwawEz54DCbR9z6mX5i4tVT2aSFrFaQKNfQgzUErNXVg7XrPrVxtFkCDwUh93JPKeusXSSyo3cwmR2jBv58GDBpQjC4bDo8HPPyoa1VnfKV5MX3MgqCYKb1cXYfdHNCJUxEhjgBfpa9zVhWNXpikjE4EbnuCW1nLuobNS3rXnDN9NCWM7uUnSSvzGiDRqpbwBQCppEwXN8jr6LNqouFJMks6uJb21WRqc7jCiJfiNmGdJ8F5MPCkMkujQsWdERCwTNKHvtG5MpD8nnQDcvZSuU6hqo9KNreFyYe834UzUNMadY8YU5onJYqoP9CNK6LqmJnAdqoqZgyPogpC9Y4irWci8cU

Public Key

7rnv8Gvvs8tbnnnddjozHRXqtmrMpW536PJRDxV4ua4t: 23QVkmMbWN1s1PbhsomVighji1Kp6Yb2bJvQcpVDF6X7DmJattssoHaGykqXNpfweDHcZwEYCc7c51k8PUSWJ9aSEwmezNZvQ7tpnPzPzMvbAHpa8oviKK75MgYMbEpgbU8BDW5BjAsfyQk3exm1RChb3gc3TRHvUBN19CB9nuqHQnNtAJxQ9L5pkEZk3Bc1HchdNChgC8CEWHwGboDb5VzWN5HWENyNphuq3tDyaxzVJqNv1FdWTqLaCa8hL54AMigrpyt8JTYkHSxq2DqQR7Snk952UDnRMNKjcVxyr7mk2AtaYEEuS4LE6WZt6xNUPt24v71XrNPS2rmzaqDdqXMX29AxrbrAXoSuUruZQJzc2upHFYzQcgM6kUmgRWyGM59zcATrZX4qYSm3Aaos76uAj1ycGyRPeCjvNeDHRtbnLXzZ2B85zezuYQZBDKKjyzngfQWfbqfGKW