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 and Bitwise.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

  1. Project Initialization: Basic Elixir application structure
  2. Core Implementation: Trailing zeros algorithm with bitwise operations
  3. Testing & Quality: Comprehensive test suite and code quality tools
  4. Documentation: Complete documentation with examples and use cases
  5. 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:

  1. Use the existing format and structure
  2. Group changes by type (Added, Changed, Fixed, etc.)
  3. Be descriptive but concise
  4. Include version numbers and dates for releases
  5. Follow semantic versioning for version numbers
  6. Update both Unreleased and version-specific sections as needed