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* 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
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