Feature/sumcheck (#40)

* feat: init sumcheck.rs

* chore: rename

* feat: update lib and add trait for transcript with vec storing challenges

* bugfix: mut self ref of transcript

* feat: tentative sum-check using poseidon

* refactor: remove extension trait and use initial trait

* refactor: stop using extension trait, use initial Transcript trait

* feat: generic over CurveGroup sum-check verifier and algorithm

* feat: implement generic sum-check veriy

* bugfix: cargo clippy --fix

* chore: cargo fmt

* feat: (unstable) sum-check implementation

* feat: start benches

* chore: run clippy

* chore: run cargo fmt

* feat: add sum-check tests + benches

* chore: clippy + fmt

* chore: remove unstable sumcheck

* chore: delete duplicated sum-check code

* chore: remove deleted sum-check code from lib.rs imports

* feat: remove non generic traits, implement sum-check with generic trait and add test

* chore: remove non-generic struct

* chore: remove non generic verifier

* feat: make nifms generic over transcript and update to use poseidon transcript

* chore: cargo fmt

* chore: remove tmp benches

* chore: update cargo.toml

* refactor: remove Generic suffix

* feat: prover state generic over CurveGroup

* chore: disable clippy type complexity warning

* refactor: remove Transcript type and espresso transcript dependency

* refactor: SumCheckProver generic over CurveGroup

* chore: add line to eof for `Cargo.toml`

* bugfix: add error handling on sum-check prove and verify

* chore: clippy fix

* chore: add line at eof

* fix: use `map_err` and call `to_string()` on `PolyIOPErrors`

Cargo.toml

@@ -20,7 +20,6 @@ color-eyre = "=0.6.2"
 # tmp imports for espresso's sumcheck
 ark-serialize = "^0.4.0"
 espresso_subroutines = {git="https://github.com/EspressoSystems/hyperplonk", package="subroutines"}
-espresso_transcript = {git="https://github.com/EspressoSystems/hyperplonk", package="transcript"}
 
 [dev-dependencies]
 ark-pallas = {version="0.4.0", features=["r1cs"]}
@@ -47,3 +46,4 @@ parallel = [
 # changes done between v0.4.0 and this fix which would break compatibility.
 [patch.crates-io]
 ark-r1cs-std = { git = "https://github.com/arnaucube/ark-r1cs-std-cherry-picked/" }
+