* Add IPA commitment native implementation
* Add IPA Gadget verifier
* polish Pedersen & IPA, add blind bool param to IPA
* Optimize IPA gadget constraints (and native):
- optimize <s,b> computation from linear to log time
- optimize s computation from k*2^k to k*(2^k)/2
* add small optimization: delegate u_i^-1 to prover and just check u_i*u_i^-1==1 in verifier circuit
* IPA polish and document
* Add 'BLIND' parameter to CommitmentProver trait (and to Pedersen and KZG impls). Fit IPA into CommitmentProver trait.
* rename 'BLIND' to 'H' (hiding) in commitment
* IPA: rm u_invs from Proof and compute them incircuit
* Update IPA's build_s & gadget to use Halo2 approach following @han0110 's suggestion.
This reduced further the amount of constraints needed.
- for k=4: -9k constraints (-7%)
- for k=8: -473k constr (-31%)
- for k=9: -1123k constr (-35%)
- for k=10: -2578k constr (-39%)
And now IPA verification (without amortizing) is very close to Pedersen
verification (in-circuits).
* rm dbg!(cs.num_constraints()) from multiple tests
* IPA::prove remove intermediate v_lo,v_hi vectors, add doc to build_s_gadget
* move powers_of into utils/mod.rs, update iters to cfg_iter
arnaucube
b25037e34c