* add multilinear_pc barebones

* add multilinear extension commitment scheme

* add unit tests

* temporarily change dependency

* change dependency

* add trim

* remove `get_key`

* use `format` from ark_std

* fmt

* revert prev two

* tweak

* fmt

* Slightly tune the comments

* fmt

Co-authored-by: Weikeng Chen <w.k@berkeley.edu>

* off-by-1 error in checking polynomial degree - test

* off-by-1 error in checking polynomial degree - better test

* off-by-1 error in checking polynomial degree - fmt fixed

* Add multivariate pc support

* Integrate new polynomial interfaces

* Fix no_std

* Reduce code reuse

* Small optimizations

* Update for arkworks + tweaks

* Fix

* fmt

* Handle the conflict with `master` on sonic_pc

* Handle the upstream conflict

* Handle the conflict with the upstream

* Handle the conflict with the upstream

* Cargo fmt

* mul update; add serialization

* Update the references

* Reconcile the citation

* fix some missing points

Co-authored-by: Weikeng Chen <w.k@berkeley.edu>
Co-authored-by: oblivious-app <55861861+oblivious-app@users.noreply.github.com>

* Update data_structures.rs

* Update data_structures.rs

* add serialization for labeled poly

* no std

* add serialization

* test_rng in ark_std

* remove an unnecessary allow non camel

* add the trait part of the constraints

* fix

* Update src/constraints.rs

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* Update src/constraints.rs

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* Update src/constraints.rs

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* Update src/constraints.rs

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* Update src/constraints.rs

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* fix

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

Generalize polynomial type

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>
Co-authored-by: weikeng <w.k@berkeley.edu>

Update to `arkworks` libraries

fixed repository url

Co-Authored-By: Pratyush Mishra <pratyushmishra@berkeley.edu>