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InfluxDB
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One of the languages I've designed is called SLANG (https://github.com/sonarsource/slang) when I was working at Sonar.
The ideia is to have a common IR representation from multiple input programming languages to perform static analysis on top of.
This is useful because it's very expensive to write dedicated backend analysers when you have to support 25+ programming languages.
This is specially true when analysers share a subset of the checks (e.g. cyclomatic complexity, identical conditions check). You can check the full list at: https://github.com/SonarSource/slang/tree/master/slang-check....
Crapterpreter: https://github.com/bediger4000/crapterpreter
I wanted to see if I could write an interpreted language. You see evaluating arithmetic expressions as examples all over the place, but there's clearly a jump of some sort when you add variables, and another when you add looping, and another when you add recursion. I wanted to understand those jumps.
It was totally educational, and personal. Nobody should use it, except to know that sort of project is possible.