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TIL that GNU awk has arctan and other trig functions. I _know_ that it's a low-hanging fruit, but seriously, what UNIX philosophy?
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"What do we really need in our line-based text processing tool?" "TRIG FUNCTIONS" "Yeah, totally a worthwhile feature - do one thing well!"
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I apologise, I am being unfair to GNU awk - POSIX awk also has those things. Yup, 'do one thing well'. Totally.
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If we take the Unix philosophy seriously, we should throw out grep and sed, and keep only awk. :-P