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Even zlib looks to be a bit more complex than that when doing streams of packet data: http://www.bolet.org/~pornin/deflate-flush-fr.html

There's also stuff like preset dictionaries and so on so string->string is just one part of the abstraction and isn't a full signature. Compression level's another.

zlib's also not competitive in many scenarios, so it's only "done" for limited scope.

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