If a human can rewrite code from one language to do the same thing in another language, it's definitely possible to automate. But I acknowledge that translation will be very difficult to achieve. Saying something is impossible because it's very hard is ultimately self-limiting.
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From a sociological standpoint, that suggestion is as idealistic and borderline impossible as my original suggestion =)
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It's been done often. In fact reimplementing code is pretty much the only way (I know of) to keep it alive. I have done it myself. Pretty much all CS undergrads do it.
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It's so a thing it has a Wikipedia page! https://en.wikipedia.org/wiki/Rewrite_(programming) …
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So we hang onto LAPACK cos it's incredibly well-tested, in a low-level language, (therefore) fast, and has tight spec. Something not true for pretty much any other software especially stuff written by amateur coders outside formally trained environments. https://en.wikipedia.org/wiki/LAPACK
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