- Update neptune dependency to version 10.0.0

* chore: update to ff/group 0.13 and associated dependencies

Updates:
- zkcrypto/ff, zkcrypto/group to 0.13,
- bellperson to 0.25,
- pasta_curves to 0.5.1, and removes the fil_pasta_curves fork
- pasta-msm should no longer need a fork (WIP)

Adapts source in function, mostly for const usage and API updates.

* expose the portable feature of pasta-MSM

* update pointer to pasta-msm

* Clippy

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Co-authored-by: François Garillot <francois@garillot.net>

* a more optimal preprocessing SNARK

* update version

* cleanup; address clippy

* Ability to collect evaluation claims

* defer polynomial evaluation claims

* address cargo clippy

* spark-based commitments to R1CS matrices

* small fixes

* fix padding

* update version

* generalize the slice implementation

* bump the version

* simplify transcript engine usage

* update version

* checkpoint

* simplify further

* checkpoint

* gens --> ck

* update benches

* address clippy

* cleanup

* update version

* pass only one multilinear polynomial to EE

* update version

* simplify trait requirements

* update version

* enable neptune gpu hashing

* Disable clippy on GPU

make spartan generic over the evaluation engine

update version

disable Wasm CI check

* Clippy with Rust 1.67

* Clippy/Rustfmt with Rust 1.66.1

* Bump commit.

* Bump commit.

* (WIP) Add serde support

* Minor fixes

* Use neptune const generics

* Use git patches

* Impl serde for CompressedSNARK

* Update dependencies, revert to typenum

* Formatting

* Update bellperson-nonnative patch

* Cleanup

* Remove bellperson-nonnative fork

* Switch back to fil_pasta_curves

* Update forked dependencies

* Cleanup

* Remove unnecessary patch

* Update to lurk-pasta-msm

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Co-authored-by: porcuquine <porcuquine@users.noreply.github.com>

* Add Wasm support

* Use SeedableRng for Wasm randomness

* Fix tests

* Formatting

* WASM target support

* fast multiexp for WASM

* add parallelisation for MSM

https://github.com/zcash/halo2/blob/main/halo2_proofs/src/arithmetic.rs

* update crate versions

* fix clippy issues

* cargo fmt

* optimize ECC ops

* update version

* integrate with neptune's sponge

* fix clippy warning

* add checks to ensure at most one squeeze

* add checks to ensure at most one squeeze

* update crates to their latest version

* use latest pasta-msm

* rename methods for better clarity

* rename

* Bump version

* support non-determinism with small changes to the interface

* update benches to use the new API

* add an example that exercises non-deterministic advice at each step of recursion

* tiny rename

* Address clippy; update version

* Add asserts for constraint count

* switch to Standard strength

* update version and README

* move tests to bellperson adapter and remove tests folder; make bellperson adapter private

* add benches

* fix error

* put snark in a black_box when benchmarking verification time

* fix error in benches

* use pasta_msm crate for MSM

* add repr-c to pasta_curves

* add +stable

* update pasta-msm version

* Fix dependencies

* Replace rug with num-bigint

* implement transcript methods for various types

* address clippy

* add shape to transcript

* fix build

* switch to stable

* remove send + sync

* introduce a new associative type to capture any form of preprocessing on group elements

* update pasta_curves version

* simplify trait requirements

* fix clippy

* Bump commit.

* Add wasm support

* Add nix build

* Update bellperson

* Update bellperson

* Remove Nix

* Remove .envrc

* Always use bellperson

* Use updated bellperson-nonnative

* Update bellperson-nonnative

Co-authored-by: porcuquine <porcuquine@users.noreply.github.com>
Co-authored-by: Anders Christiansen Sørby <anders@sorby.xyz>

This PR updates the crate versions of neptune, bellperson, and bellperson-nonnative to the latest.

* PrimeField --> ff::PrimeField

* cargo fmt