You should optimize a bit if this is going to be in libsodium such as https://github.com/jedisct1/spake2-ee/blob/master/crypto_spake.c#L318-L323 … That's 5 inverts and 6 square roots vs 1 combined invert and 4 square roots (or 1 square root if you store uncompressed points).
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This currently depends on the public sodium API, and was just an opportunity to test it. Before going any further, I want to see if people would use this. PAKEs are great, but still rarely used.
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