In this exercise, you will implement a calculator API that serves endpoints for mathematical functions using FastAPI. The goal is to make you familiar with building APIs, poetry for package and dependency management and pytest for testing. You should also make sure that your code is properly formatted using black and isort.

1. Verify if poetry is installed on your machine using poetry --version.
2. Clone this repository
3. In a terminal, navigate to the project's root folder
4. Use poetry to generate a new package called math_api. Refer to the documentation of the poetry new command to find out how to do that. This will generate the following project structure:

   .
   ├── math_api
   │   ├── README.md
   │   ├── math_api
   │   │   └── __init__.py
   │   ├── pyproject.toml
   │   └── tests
   │       └── __init__.py
   

1. Create a FastAPI app in math_api/app.py (so on the level of pyproject.toml) that serves your FastAPI API. The logic of your app should exist in math_api/math_api/. See FastAPI's 'first steps' documentation to help you to get started. Manage your dependencies with poetry so that teammates could easily set up their own environments. Also try to make a distinction between dependencies for development and dependencies for code that runs in production.
2. Implement the following endpoints:
   • /add which accepts two parameters a and b and returns the result of a+b
   • /sub which accepts two parameters a and b and returns the result of a-b
   • /mul which accepts two parameters a and b and returns the result of a*b
   • /div which accepts two parameters a and b and returns the result of a/b
   • /fib which accepts a parameter n and returns Fibonacci number $F_n$
3. During development, pay attention to your project structure and add type hints for your methods and parameters.
4. Document your code with docstrings.
5. Write tests for each method with pytest
6. Format your code with black, isort and flake8.

Extra:

1. Install pre-commit and configure it so it runs black, flake8, isort and pytest.
2. Write a shell script that runs your tests and formatting checks, collects the return codes and writes a report to a file.
3. Package your app with poetry.