* impl AugmentedFCircuit non-base case
* add multiple iterations to AugmentedFCircuit test
* implement base case on AugmentedFCircuit and test
* Update cmE of E=0-vec to work as zero point
Update cmE of E=0-vec to work as zero point instead of as cm(0-vec)
* patch r1cs-std dep to a cherry-picked version with the zero-scalar-mult fix
* refactor FCircuit to make it more suitable inside the AugmentedFCircuit
* Port HyperNova's multifolding from https://github.com/privacy-scaling-explorations/multifolding-poc adapting and refactoring some of its methods and structs.
Note: adapted mle.rs methods from dense to sparse repr.
Co-authored-by: George Kadianakis <desnacked@riseup.net>
* HyperNova: move CCS struct outside of LCCCS & CCCS
HyperNova nimfs: move CCS structure outside of LCCCS & CCCS, to avoid
carrying around the whole CCS and duplicating data when is not needed.
Also add feature flags for the folding schemes.
---------
Co-authored-by: George Kadianakis <desnacked@riseup.net>
* Implement Nova's NIFS.Verify circuits (with CycleFold)
- Add circuit for NIFS.Verify on the main curve to check the folded `u`
& `x`
- Add circuit for NIFS.Verify on the CycleFold's auxiliary curve to
check the folded `cm(E)` & `cm(W)`
- Add transcript.get_challenge_nbits
- Add tests for utils::vec.rs
* replace bls12-377 & bw6-761 by pallas & vesta curves (only affects tests)
We will use pallas & vesta curves (for tests only, the non-tests code
uses generics) for the logic that does not require pairings, and while
Grumpkin is not available
(https://github.com/privacy-scaling-explorations/folding-schemes/issues/12).
* update links to papers to markdown style
