* Remove the trait bound `C::BaseField: PrimeField` for better DX

* Methods in `TranscriptVar` now exactly matches the ones in `Transcript`

* Add `ProtoGalaxyTranscriptVar` and `CommittedInstanceVar` for protogalaxy

* betas are unnecessary in "plain" (incoming) instances

* Absorb the result of `get_challenge_nbits` as well

* `ProtoGalaxyTranscript` now allows absorbing mulitple instances

* Always return `Result<(), SynthesisError>` in `ProtoGalaxyTranscriptVar`

* Impl `Transcript{Var}` for `PoseidonSponge{Var}` directly and remove `PoseidonTranscript{Var}`

* `Transcript::absorb_point` doesn't need to return `Error`

* Add `AbsorbNonNative` trait for hashing non-native values

Note that now `absorb_point` only supports hashing points whose BaseField is equal to the sponge's field

* More efficient `TranscriptVar::absorb_point` by securely removing `is_inf`

* Use `sponge` and `transcript` consistently

* Clarify the usage of `AbsorbNonNative{Gadget}`

* Generic `sponge` and `transcript` params

* Avoid unstable `associated_type_bounds`

* Reuse `sponge` in hypernova

* Clean up redundant imports

* Remove unstable code

* Clarify the usage of `absorb_point` and `absorb_nonnative`

* change: Refactor structure into workspace

* chore: Add empty readme

* change: Transform repo into workspace

* add: Create folding-verifier-solidity crate

* add: Include askama.toml for `sol` extension escaper

* add: Jordi's old Groth16 verifier .sol template and adapt it

* tmp: create simple template struct to test

* Update FoldingSchemes trait, fit Nova+CycleFold

- update lib.rs's `FoldingScheme` trait interface
- fit Nova+CycleFold into the `FoldingScheme` trait
- refactor `src/nova/*`

* chore: add serialization assets for testing

Now we include an `assets` folder with a serialized proof & vk for tests

* Add `examples` dir, with Nova's `FoldingScheme` example

* polishing

* expose poseidon_test_config outside tests

* change: Refactor structure into workspace

* chore: Add empty readme

* change: Transform repo into workspace

* add: Create folding-verifier-solidity crate

* add: Include askama.toml for `sol` extension escaper

* add: Jordi's old Groth16 verifier .sol template and adapt it

* tmp: create simple template struct to test

* feat: templating kzg working

* chore: add emv and revm

* feat: start evm file

* chore: add ark-poly-commit

* chore: move `commitment` to `folding-schemes`

* chore: update `.gitignore` to ignore generated contracts

* chore: update template with bn254 lib on it (avoids import), update for loop to account for whitespaces

* refactor: update template with no lib

* feat: add evm deploy code, compile and create kzg verifier

* chore: update `Cargo.toml` to have `folding-schemes` available with verifiers

* feat: start kzg prove and verify with sol

* chore: compute crs from kzg prover

* feat: evm kzg verification passing

* tmp

* change: Swap order of G2 coordinates within the template

* Update way to serialize proof with correct order

* chore: update `Cargo.toml`

* chore: add revm

* chore: add `save_solidity`

* refactor: verifiers in dedicated mod

* refactor: have dedicated `utils` module

* chore: expose modules

* chore: update verifier for kzg

* chore: rename templates

* fix: look for binary using also name of contract

* refactor: generate groth16 proof for sha256 pre-image, generate groth16 template with verifying key

* chore: template renaming

* fix: switch circuit for circuit that simply adds

* feat: generates test data on the fly

* feat: update to latest groth16 verifier

* refactor: rename folder, update `.gitignore`

* chore: update `Cargo.toml`

* chore: update templates extension to indicate that they are templates

* chore: rename templates, both files and structs

* fix: template inheritance working

* feat: template spdx and pragma statements

* feat: decider verifier compiles, update test for kzg10 and groth16 templates

* feat: parameterize which size of the crs should be stored on the contract

* chore: add comment on how the groth16 and kzg10 proofs will be linked together

* chore: cargo clippy run

* chore: cargo clippy tests

* chore: cargo fmt

* refactor: remove unused lifetime parameter

* chore: end merge

* chore: move examples to `folding-schemes` workspace

* get latest main changes

* fix: temp fix clippy warnings, will remove lints once not used in tests only

* fix: cargo clippy lint added on `code_size`

* fix: update path to test circuit and add step for installing solc

* chore: remove `save_solidity` steps

* fix: the borrowed expression implements the required traits

* chore: update `Cargo.toml`

* chore: remove extra `[patch.crates-io]`

* fix: update to patch at the workspace level and add comment explaining this

* refactor: correct `staticcall` with valid input/output sizes and change return syntax for pairing

* refactor: expose modules and remove `dead_code` calls

* chore: update `README.md`, add additional comments on `kzg10` template and update `groth16` template comments

* chore: be clearer on attributions on `kzg10`

---------

Co-authored-by: CPerezz <c.perezbaro@gmail.com>
Co-authored-by: arnaucube <root@arnaucube.com>

* 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

* 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: 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

* feat: adds `compute_lagrange_poly`, returning a `DensePolynomial` to extract coeffs from

* chore: add assert on interpolated poly degree vs initial poly degree

* refactor: use `compute_lagrange_poly` in `SumCheckVerifier` instead of `interpolate_uni_poly`

* refactor: have `TranscriptVar` be generic over `CurveGroup` for consistency

* refactor: change back to being generic over field

* feat: start to use `PoseidonTranscriptVar` struct

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

* chore: naming consistency with espresso/sum_check folder

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

* chore: clippy fix

* chore: add line at eof

* feat: switch to using coeffs instead of evals in sum-check

* bugfix: tmp remove sanity check in nimfs

* refactor: update sanity check

* refactor: update verifier evaluation form + add comment

* chore: run clippy

* fix: correct merge artifacts

* feat: verify circuit passing

* refactor: change naming to use the `Gadget` suffix, update `verify_sumcheck` to not have `&self` as first argument, update test

* feat: testing on polynomials with various number of variables

* refactor: update method name

* fix: avoid rust-analyzer from complaining

* fix: fix clippy complains

* chore: cargo clippy

* chore: udpate arg name for `SumCheckVerifierGadget`

* refactor: remove unnecessary cloning in sumcheck circuit

* refactor: impl `get_poly_vars_from_sumcheck_proof` for `IOPProof`

* chore: group imports

* refactor: update `P(0) + P(1)` and name it `eval`

* chore: clippy + fmt

* refactor: move `compute_lagrange_poly` to `utils`

* fix: wrong import

* chore: cargo fmt

* refactor: absorb num vars and max degree within sumcheck circuit

* refactor: update name to `compute_lagrange_interpolated_poly` and add comment

* feat: create `IOPProofVar`, which implements the `AllocVar` trait

* fix: clippy allow `type_complexity` on return type of `SumCheckVerifierGadget`

* refactor: use `VPAuxInfo` instead of virtual type, remove `_` prefix in params name

* feat: add tests on computed & returned values from `verify`

* refactor: use `new_witness` instead of `new_variable`

Co-authored-by: arnaucube <root@arnaucube.com>

* chore: clippy

* fix: remove `unwrap()` within `verify()`

Co-authored-by: arnaucube <root@arnaucube.com>

* chore: add comment on `unwrap()`

* refactor: move `compute_lagrange_interpolated_poly` tests to `lagrange_poly.rs`

---------

Co-authored-by: arnaucube <root@arnaucube.com>

* 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`

* Implement Nova IVC's new & prove_step methods

Implement Nova IVC's new & prove_step methods (without CycleFold part yet)

* transcript.absorb_point err handling, and update C.xy() usage

* add transcript usage to IVC prove, add NovaTranscript trait extending Transcript trait, refactor NIFS.P to allow absorbing in transcript inbetween

* Implement Nova's IVC.V method (without CycleFold part yet)

* clippy lints

* move challenge r computation in-circuit

* reuse computed points with coordinates over CF (non-native) to save constraints in AugmentedFCircuit

(constraint count went down ~6k)

* rm 128 bit constant

* add params to Errors

* Updates from review suggestions. Additionally refactored nova/nifs fold, and rm transcript from nova/IVC.

- Updates from PR suggestions
- Additionally updated:
  - in nova/nifs.rs: reuse folded_committed_instance for verify_folded_instance, computationally is the same, but reusing the same code so avoiding duplication and having an error on one of the two versions.
  - in nova/ivc.rs: remove transcript from IVC (not needed, it uses the RO)

Port Espresso/hyperplonk's `virtualpolynomial`, `multilinearpolynomial`
and `sum_check` utils from
https://github.com/EspressoSystems/hyperplonk/tree/main
Each file contains the reference to the original file.

Porting it into a subdirectory `src/utils/espresso`, to have it
self-contained. In future iterations we might replace part of it but we
can keep focusing on the folding schemes part for now.