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mratsim avatar mratsim commented on June 21, 2024 2

For (S)SWU methods you can fuse square root, legendre symbol and sqrt(u/v).

For SVDW method you can optimize the 2 legendre symbols + 3 sqrt in the specs to

  • either 2 legendre and 1 sqrt
  • or 3 fused legendre+sqrt

https://github.com/mratsim/constantine/pull/190/files#diff-5f77dfe5a8625615eb2e4e4d504159b5daa4841864de9161cab1da73e68cb2ebR80-R85

You can accelerate Legendre symbol about 7x using either Pornin or Bernstein-Yang GCD as described here: mratsim/constantine#199

We have a Bernstein-Yang inversion currently being developed for Halo2 which is 8.5x faster than the current implementation (taikoxyz#2)

from halo2curves.

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