Original issue related to PR #12545 Implement a classical simulation of Shor's quantum factoring algorithm. This should include: 1. Quantum circuit simulation 2. Period finding implementation 3. Classical post-processing 4. Comprehensive documentation explaining the algorithm 5. Test cases with known factorizations This is an advanced task that requires understanding of: - Quantum computing concepts - Number theory - Python's numerical computing capabilities The implementation should be educational and well-documented to serve as a reference.