TODO.md

TODO - Future Expansion Plans

🚀 Immediate Next Steps

• Add Trapezoidal Rule integration function
• Extend main.f90 to allow user to select integration method
• Add support for more predefined test functions (e.g., cos(x), exp(x))
• Implement input validation for user inputs (bounds, n)

🧪 Testing

• Write automated unit tests using fpm test or other framework
• Add tests for Trapezoidal Rule function
• Add round-trip integration tests (integrate and invert)

📈 Features to Add

• Support adaptive integration with error estimation
• Allow user-defined functions via string parsing or callbacks
• Add support for multivariate integrals (double integrals)
• Implement other numerical methods (e.g., Romberg integration, Gaussian quadrature)

⚙️ Developer Experience

• Setup fpm.toml to support building/testing with FPM
• Add a simple CLI interface with help and usage messages
• Add logging or verbose output mode
• Prepare Dockerfile for easy environment setup

🔗 Integration & Interoperability

• Provide Python bindings using f2py

• Create a shared library for calling from other languages

• Benchmark performance vs Python/NumPy equivalents

• Write detailed README with usage examples

• Add inline code documentation/comments

• Create example Jupyter notebooks with usage demos