Legendre trait now uses accelerated Jacobi #102
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davidnevadoc
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Nov 23, 2023
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…ons#102) legendre trait now uses accelerated jacobi
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Followup on #95
As discussed with @CPerezz at ProgCrypto, without a trait for Legendre it would not be possible to use it generically in algorithms like hash-to-curve or for testing, requiring a macro or individual implementation on a per-curve basis.
Unfortunately the new implementation is incompatible with pasta-curves as those are private, in general it's extremely hard to work with them (impossible to add assembly for example), this might be problematic for Nova over a cycle of curve (cc @huitseeker )
This PR reworks the fast modular inversion and Legendre symbol in a ff_ext folder as they definitely should be upstreamed.
The Legendre trait has been changed to not derive from
ff::Fieldand outputi64