Where can I find implementation code for the algorithm

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I am trying to build a computer simulation for collision of 2 ellipsoids that translate and rotate with very high speed. (accuracy is more important then running speed)

is the article:

An Algebraic Approach to Continuous Collision Detection for Ellipsoids

https://hal-unice.archives-ouvertes.fr/hal-00646511/document

represent the best algorithm for this job?

if so, where can I find the computer program implement it (in any computer language, e.g. matlab,c++...)?

Thank you very much