Create a regular expression pattern generator that can: 1) Generate regex patterns from natural language descriptions 2) Optimize existing regex patterns for performance 3) Decompose complex patterns into understandable components 4) Generate test cases for regex patterns 5) Identify potential catastrophic backtracking issues 6) Convert between regex flavors (PCRE, JavaScript, Python) 7) Create patterns that match common text structures like URLs, emails, code snippets, etc. Include architecture design, implementation details, and examples showing input-to-output transformations.