Changelog
All notable changes to this project will be documented in this file.
The format is based on Keep a Changelog, and this project adheres to Semantic Versioning.
[1.0.0] - 2025-07-21
Added
- Initial project setup with comprehensive development tooling
- Complete test suite with 14 test cases covering edge cases and typical scenarios
- Full documentation with examples and use cases
- Performance optimization with O(log n) time complexity
- Type specifications for better development experience
- Core Functionality:
TrailingZeros.of/1
function for counting trailing zeros - Algorithm Implementation: Efficient bit manipulation approach using
Bitwise
operations - Performance Optimization: O(log n) time complexity with O(1) space complexity
- Type Safety: Full type specifications with
@spec
annotations - Comprehensive Testing: 14 test cases covering:
- Edge cases (0, maximum 32-bit integer)
- Powers of 2 (2^0 through 2^30)
- Odd numbers and mixed patterns
- Large numbers and boundary conditions
- Alternating bit patterns and specific structures
Changed
- Enhanced project configuration with modern Elixir development practices
- Improved code quality checks with comprehensive tooling
- Updated documentation structure for better maintainability
Features
- High Performance: Optimized bitwise operations for maximum efficiency
- Memory Efficient: Tail-recursive implementation with constant space usage
- Mathematical Accuracy: Correct handling of all edge cases and mathematical properties
- Developer Friendly: Clear documentation with extensive examples
Documentation
- Module Documentation: Comprehensive
@moduledoc
with algorithm explanation - Function Documentation: Detailed
@doc
with parameters, returns, and examples - Performance Analysis: Time and space complexity documentation
- Use Cases: Practical examples for power of 2 detection, binary analysis, and memory alignment
- Mathematical Properties: Theoretical background and relationships
Development Tooling
- Code Quality: Credo static analysis with custom configuration
- Type Checking: Dialyzer integration for type safety
- Documentation: ExDoc setup for generated documentation
- Spell Checking: Spellweaver integration for documentation quality
- Formatting: Consistent code formatting with migration support
- Dependency Management: Comprehensive dependency audit and version locking
Project Structure
- License: Apache 2.0 license with University of Kitakyushu copyright
- README: Comprehensive documentation with installation, usage, and development instructions
- Package Configuration: Proper Hex.pm metadata and GitHub integration
- Version Management: Semantic versioning with proper changelog structure
Technical Implementation
- Base Case: Proper handling of input 0
- Recursive Algorithm: Efficient bitwise AND and right shift operations
- Accumulator Pattern: Tail-recursive implementation for optimal performance
- Bitwise Operations: Uses
Bitwise.band/2
andBitwise.bsr/2
for efficiency - Termination Guarantee: Algorithm guaranteed to terminate as number decreases with each shift
Mathematical Properties Supported
- For any number n, if
TrailingZeros.of(n) = k
, then n is divisible by 2^k - Powers of 2 have trailing zero counts equal to their exponent
- Odd numbers always have 0 trailing zeros
- Maximum trailing zeros for 32-bit integer is 31 (for 0)
Performance Characteristics
- Time Complexity: O(log n) - proportional to number of bits in input
- Space Complexity: O(1) - constant space usage with tail recursion
- Bitwise Efficiency: Optimized use of bitwise operations
- Memory Usage: Minimal memory footprint with no additional data structures
Use Cases Demonstrated
- Power of 2 Detection: Numbers with n trailing zeros are divisible by 2^n
- Binary Number Analysis: Understanding structure of binary representations
- Memory Alignment: Important for data structure alignment requirements
- Algorithm Optimization: Useful in divide-and-conquer algorithms
Version History Summary
Major Versions
- v1.0.0: First stable release with complete functionality
Development Phases
- Project Initialization: Basic Elixir application structure
- Core Implementation: Trailing zeros algorithm with bitwise operations
- Testing & Quality: Comprehensive test suite and code quality tools
- Documentation: Complete documentation with examples and use cases
- Release Preparation: Package configuration and deployment readiness
Key Milestones
- ✅ Core algorithm implementation
- ✅ Comprehensive test coverage
- ✅ Complete documentation
- ✅ Development tooling integration
- ✅ Performance optimization
- ✅ Type safety implementation
- ✅ Package configuration
- ✅ Release preparation
Contributing to Changelog
When adding entries to this changelog, please follow these guidelines:
- Use the existing format and structure
- Group changes by type (Added, Changed, Fixed, etc.)
- Be descriptive but concise
- Include version numbers and dates for releases
- Follow semantic versioning for version numbers
- Update both Unreleased and version-specific sections as needed