This app is one of the simplest sun angle (position) calculator. You can give it a specific time, day, month, and location and it calculates the sun azimuth and sun elevation for you.
This app uses Solar Position Algorithm (SPA) library developed by National Renewable Energy Laboratory.
No GPS permission or other is required. Everything is manually entered. This is a small open source non-commercial project made with C++ on Cocos2dx framework. You can find the source code here:
https://github.com/githubsaturn/SunCalculator