Instead of having if statements for the bits, it now has constant time
ops. While there are still if statements guiding the proof itself, they
aren't dependent on the data within.
This does reduce the strength of the challenges to that of the weaker
field, yet that doesn't have any impact on whether or not this is ZK due
to the key being shared across fields.
Saves ~8kb.
Closes https://github.com/serai-dex/serai/issues/17 by using the
PrimeFieldBits API to do so.
Should greatly speed up small batches, along with batches in the
hundreds. Saves almost a full second on the cross-group DLEq proof.
While Serai only needs the simple DLEq which was already present under
monero, this migrates the implementation of the cross-group DLEq I
maintain into Serai. This was to have full access to the ecosystem of
libraries built under Serai while also ensuring support for it.
The cross_group curve, which is extremely experimental, is feature
flagged off. So is the built in serialization functionality, as this
should be possible to make nostd once const generics are full featured,
yet the implemented serialization adds the additional barrier of
std::io.
